If you know 4 parts (angles and sides) of one triangle are congruent to the
corresponding 4 parts of another triangle, are the triangles congruent? Why?

Answers

Answer 1

Answer: Yes, the triangles are congruent.

Step-by-step explanation:

According to the Side-Angle-Side (SAS) congruence theorem, if two triangles have two pairs of corresponding sides that are congruent and the included angle between those sides is also congruent, then the triangles are congruent.

In this case, we know that four parts (angles and sides) of one triangle are congruent to the corresponding four parts of another triangle. This means that two pairs of corresponding sides are congruent (since corresponding sides are equal) and the included angles between those sides are also congruent (since corresponding angles are equal). Therefore, the triangles satisfy the conditions of the SAS congruence theorem and are congruent.

It's important to note that this applies only to two triangles with exactly the same four congruent parts. If there is even one part that is not congruent between the two triangles, they cannot be proven to be congruent just by these means alone.

Answer 2

Answer:

If you know that 4 parts (angles and sides) of one triangle are congruent to the corresponding 4 parts of another triangle, then the triangles are congruent by the Side-Angle-Side (SAS) Congruence Postulate. This postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

The SAS postulate is one of five ways to prove that two triangles are congruent. The other four ways are Angle-Side-Angle (ASA), Side-Side-Side (SSS), Hypotenuse-Leg (HL), and Reflexive Property of Congruence.


Related Questions

Scarlett Squirrel teaches a hula dancing class to young squirrels.
14
1414 squirrels showed up to class on Monday,
10
1010 squirrels on Tuesday,
8
88 squirrels on Wednesday,
10
10squirrels on Thursday, and
12
12squirrels on Friday.
Find the mean number of squirrels.

Answers

Answer:

10.8

Step-by-step explanation:

14+10+8+10+12

_______________

5

= 54/5

= 10.8

Suppose Patrick Goldsmith deposited $1000 in an account that earned simple interest at an annual rate of 10% and left it there for 5 years. At the end of the 5 years, Patrick deposited the entire amount from that account into a new account that earned 10% compounded quarterly. He left the money in this account for 5 years. How much did he have after the 10 years? (Round your answer to the nearest cent.)

Answers

Answer:

Step-by-step explanation:

After 5 years at a simple interest rate of 10%, Patrick would have earned $500 in interest ($1000 x 10% x 5 years). So at the end of the 5 years, he would have $1500 in the account.

If this entire amount is deposited into a new account that earns 10% compounded quarterly, we need to determine the quarterly interest rate first.

The quarterly interest rate is (1 + 0.10/4)^4 - 1 = 0.025 (rounded to three decimal places).

After 10 years (or 40 quarters) at a quarterly interest rate of 0.025, the compounded amount is:

$1500 x (1 + 0.025)^40 = $4045.56

Therefore, Patrick would have $4045.56 in the account after 10 years when rounding to the nearest cent.

Hope that Helps :)

A table is being sold for 67% off the regular price the sale price is $536 what is the regular price

Answers

Answer:

Step-by-step explanation:

Use a simple Equation

Price = Number x Price

So Price = 536.

Since it was 67% off we multiple the price of the original by .67.

So

536 = .67x

Solve for x = 536/.67 = 800

The original Price is $800.

check by multiplying by the sale %.

Suppose that 10 years ago you bought a home for $110,000, paying 10% as a down payment, and financing the rest at 9% interest for 30 years.
a. Let's consider your existing mortgage:

i. How much money did you pay as your down payment?

ii. How much money was your mortgage (loan) for?

iii. What is your current monthly payment?

iv. How much total interest will you pay over the life of the loan?

b. This year, you check your loan balance. Only part of your payments has been going to pay down the loan; the rest has been going towards interest. You see that you still have $88,536 left to pay on your loan. Your house is now valued at $150,000.

i. How much of the loan have you paid off? (i.e., how much have you reduced the loan balance by? Keep in mind that interest is charged each month - it's not part of the loan balance.)

ii. How much money have you paid to the loan company so far?

iii. How much interest have you paid so far?

iv. How much equity do you have in your home (equity is value minus remaining debt)

c. Since interest rates have dropped, you consider refinancing your mortgage at a lower 6% rate.

i. If you took out a new 30-year mortgage at 6% for your remaining loan balance, what would your new monthly payments be?

ii. How much interest will you pay over the life of the new loan?

d. Notice that if you refinance, you are going to be making payments on your home for another 30 years. In addition to the 10 years you've already been paying, that's a total of 40 years.

i. How much will you save each month because of the lower monthly payment?

ii. How much total interest will you be paying

Answers

a.

i. 10% of $110,000 = $11,000 down payment

ii. Loan (mortgage) = $110,000 - $11,000 = $99,000

iii. Monthly payment = P * r * (1 + r)n / ((1 + r)n - 1), where P represents the principal amount, r represents the monthly interest rate, and n represents the number of monthly installments.

First, we must determine the quantity of monthly payments. Because it is a 30-year loan, the monthly installments are 30 * 12 = 360.

The monthly interest rate of 9% divided by 12 equals 0.0075.

When we plug in the values, we get:

$793.07 monthly payment

iv. Loan total interest paid = (monthly payment * number of instalments) - principal amount = ($793.07 * 360) - $99,000 = $184,465.20

How much money have you paid to the loan company so far?

b

i. Reduction in loan balance = $99,000 - $88,536 = $10,464

ii. To date, the total amount paid to the loan firm is (monthly payment * a number of payments) = ($793.07 * 120) = $95,168.40.

We multiplied by 120 (rather than 10*12) because we're computing total payments made so far, not the total payments made over the life of the loan.

iii. Total interest paid thus far = total money given to the loan business minus principal amount = $95,168.40 - $99,000 = -$3,831.60

The negative figure shows that the interest paid thus far has been less than the principal amount. This is because, in the early phases of the loan, the majority of the monthly payment goes towards interest, with only a little portion going toward principal reduction.

iv. Home equity  = value of the home - remaining debt

= $150,000 - $88,536

= $61,464

c.

i. New monthly payment = P * r * (1 + r)n / ((1 + r)n - 1), where P represents the remaining loan value, r represents the new monthly interest rate (6% / 12 = 0.005), and n represents the number of monthly payments remaining (360 - 120 = 240).

When we plug in the values, we get:

$63.63 is the new monthly payment.

Total interest paid on the new loan during the life of the loan = (new monthly payment * number of payments) - remaining loan balance = ($63.63 * 240) - $88,536 = $32,028.40

d.

Monthly savings = old monthly payment minus new monthly payment = $793.07 - $63.63= $729.44

Total interest paid on the new loan during the life of the loan = (new monthly payment * number of payments) - remaining loan balance = ($63.63 * 360) - $88,536 = $37,847.80

Because the new loan is being paid off over a longer period of time, the total interest paid during the life of the new loan is more than the remaining interest on the previous loan.

Learn more about Interset here:

https://brainly.com/question/16967843

#SPJ1

3. Set A has a standard deviation of 6. Set B has a standard deviation of 9. Based on
this information, which of the following statements must be true?
A) The range for set A and set B is the same.
B) Set A is larger than set B.
3
C) The mean of set B is 1.5 greater than the mean of set A.
D) The data in set A varies less than the data in set B.

Answers

The statement  that is true about standard deviation is

Option D is the correct answer.

We have,

Standard deviation is a measure of how spread out the data is in a set.

A smaller standard deviation indicates that the data points are closer to the mean, while a larger standard deviation indicates that the data points are more spread out from the mean.

Since the standard deviation of set A is 6 and the standard deviation of set B is 9, we can conclude that the data in set A varies less than the data in set B.

So,

The data in set A varies less than the data in set B.

Thus,

The statement  that is true about standard deviation is

The data in set A varies less than the data in set B.

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ1

The statement  that is true about standard deviation is

Option D is the correct answer.

We have,

Standard deviation is a measure of how spread out the data is in a set.

A smaller standard deviation indicates that the data points are closer to the mean, while a larger standard deviation indicates that the data points are more spread out from the mean.

Since the standard deviation of set A is 6 and the standard deviation of set B is 9, we can conclude that the data in set A varies less than the data in set B.

So,

The data in set A varies less than the data in set B.

Thus,

The statement  that is true about standard deviation is

The data in set A varies less than the data in set B.

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ1

Parking lots A and B charge a set fee. A charges 36.50 for 5 hours. B charges 38.00 for 5 hours. Lot A charges 49.50 for 7 hours and lot B charges 50.00 for 7 hours. How many hours are needed to park where it would cost the same?

Answers

Answer:

if you park for 12 hours in both parking lots A and B, it will cost the same amount, which is $64.50.

Step-by-step explanation:

Let's assume that the cost of parking for x hours in both lots is the same, then we can set up the following equations:

For 5 hours of parking:

36.50 = 38.00

This is not true, so we know that the cost for parking in both lots will not be the same for 5 hours.

For 7 hours of parking:

49.50 = 50.00

This is also not true, so we know that the cost for parking in both lots will not be the same for 7 hours either.

Let's try setting up the equation for x hours of parking:

Fee for parking in Lot A = Fee for parking in Lot B

36.50 + (x-5)*7 = 38.00 + (x-5)*7

Simplifying the equation, we get:

36.50 + 7x - 35 = 38.00 + 7x - 35

Solving for x, we get:

x = 12

Therefore, if you park for 12 hours in both parking lots A and B, it will cost the same amount, which is $64.50.

. To determine how funny the jokes were, the researchers asked a group of 86 undergraduates to rate the jokes on a scale from 1 (very unfunny) to 21 (very funny). Participants rated a “lawyer joke” as one of the funniest jokes, with a rating of 14.48 ± 4.38 (M ± SD).
Assuming that these data are normally distributed,
1. What was the rating that marks the cutoff for the top 10% of participant ratings for this joke?

Answers

If the "Lawyer's-Joke" is rates as the funniest, then the rating which is the top 10% of participant rating for this joke is 20 marks.

A "Normal-Distribution" is defined as a probability distribution that is symmetric, bell-shaped, and characterized by its mean and standard deviation.

First, we standardize the rating of 14.48 using the formula:

⇒ z = (x - μ) / σ;

where x is = rating of 14.48, μ is = mean rating, and σ is = standard deviation,

⇒ z = (14.48 - 14.48) / 4.38,

⇒ z = 0,

Next, we take the "z-score" that corresponds to the top 10% of the standard normal distribution.  We know that the "z-score" is approximately 1.28,

Substituting the value in formula,

We get,

⇒ z = (x - μ) / σ   ⇒ 1.28 = (x - 14.48)/4.38,

⇒ x - 14.48 = 1.28 × 4.38,

⇒ x = 20.97 ≈ 20 marks.

Therefore, the rating that marks the cutoff for the top 10% of participant ratings for this joke is approximately 20 on the scale of 1 to 21.

Lean more about Normal Distribution here

https://brainly.com/question/29509087

#SPJ1

Need help will give brainliest and 5 stars!

For this graph, for each vertical asymptote, write down the two limits that describe the graph of the function near the asymptote.

Answers

The limits on the vertical asymptotes of the function are given as follows:

lim x→6- f(x) = ∞

lim x→6+ f(x) = - ∞

lim x→2- f(x) = ∞

lim x→2+ f(x) = - ∞

lim x→6- f(x) = - ∞

lim x→6+ f(x) = ∞

What are a function's vertical asymptotes?

The values of x that are outside of the domain—in a fraction, the zeroes in the denominator—are the vertical asymptotes.

When a graph reaches its vertical asymptotes, it just approaches the point rather than crossing it.

The limits on the vertical asymptotes of the function are given as follows:

lim x→6- f(x) = ∞

lim x→6+ f(x) = - ∞

lim x→2- f(x) = ∞

lim x→2+ f(x) = - ∞

lim x→6- f(x) = - ∞

lim x→6+ f(x) = ∞

The vertical asymptotes are then provided as x = -6, x = -2, and x = 2.

Each asymptote has limits to the left (shown by the minus sign) and the right (shown by the plus sign).

To know more about vertical asymptotes, visit:

brainly.com/question/4138300

#SPJ1

HELLPPPP !!!! i need help with the answer I'm stuck!

Answers

Answer:

1. f(x)= -2x^2-12x-19

2. f(x)= 2x^2+12x+17

3. f(x)= -2x^2+12x-17

4. f(x)= 2x^2-12x+17

Step-by-step explanation:

Hope this helps!

Answer: f(x)=-2x^2+12x-17 is the 3rd picture (vertex at (3,1))

f(x)=2x^2-12x+17 is the 4th picture (vertex at (3,-1))

f(x)=2x^2+12x+17 is the 2nd picture (vertex at (-3,-1))

f(x)=2x^2+12x-17 does not correlate to a picture.

f(x)=-2x^2-12x-19 is the 1st picture (vertex at (-3,-1))

Willow owns 225 books. Of them, 5/9
are mysteries. How many of Willow's books
are mysteries?
A) 225
B) > 225
C) < 225
D) 0
(Side note:) please provide explanation if can!

Answers

The answer is B) > 225 because 5/9 of Willow's books are mysteries. To find out how many books are mysteries, you can multiply the total number of books by the fraction that represents the proportion of mysteries.

(5/9) x 225 = 125

Therefore, there are 125 mystery books, which is greater than the total number of books (225).

answer with explanation ​

Answers

The area and circumference of a circle with diameter of 3 m is 7.0165 m² and 9.42 m² respectively

How to solve an equation?

An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.

The area of a figure is the amount of space it occupies in its two dimensional state.

The diameter (d) of the circle is 3 meter. Hence:

Area = π * diameter²/4 = π * 3²/4 = 7.0165 m²

Circumference = π * diameter = π * 4 = 9.42 m²

The area and circumference are 7.0165 m² and 9.42 m²

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Directions: Read the scenario below and solve. Show your
work.
If given x > 0 and y> 0, in which quadrant or axis will each
ordered pair described below lie? Explain your answer.
a. (-x, y)
b. (-x, 0)
c. (x, -y)
d. (0. y)

Answers

The quadrant or axis for each of the given ordered pairs is:

a. (-x, y) - second quadrant

b. (-x, 0) - X-axis

c. (x, -y) - fourth quadrant

d. (0, y) - Y-axis

How to determine the quadrants

a. (-x, y):

As the x-coordinate is negative (-x), and the y-coordinate is positive (y), the ordered pair (-x, y) will lie in the second quadrant.

b. (-x, 0):

The x-coordinate being negative (-x), and the y-coordinate 0 renders that the ordered pair (-x, 0) lies on the x-axis. This horizontal axis records an unchanging value for y: zero.

c. (x, -y):

The x-coordinate here is a positive value (x), and the y coordinate a negative one (-y); it implies that the ordered pair (x, -y) lies within the fourth quadrant.  

d. (0, y):

In this case, the x-coordinate is 0 and the y-coordinate is positive (y); therefore, the ordered pair (0, y) has its place on the y-axis. The y-axis is the vertical line on which x retains a permanent numerical value of zero.

Learn more about coordinate system at

https://brainly.com/question/4726772

#SPJ1

Joe took 1/2 hours to clean the bathroom. Then he took 3 1/4 hours to clean the den. How much total time did Joe take to clean the two rooms? Write your answer as a mixed number in simplest form.

Answers

Answer:

He took 3 3/4 hours to clean both rooms.

Step-by-step explanation:

1/2 = 2/4

3 1/4 + 2/4 = 3 3/4

Therefore, he took 3 3/4 hours.

How to draw a quilt of isosceles triangular

Answers

The creation of an isosceles triangle quilt can only be achieved through a number of discreet steps:

The Steps

Initially, select the bespoke size of both individual triangles and the full-scale length and breadth of the snug.

Subsequently, draft a lattice on either a sheet of paper or digital drafting software, with each square serving as a single triangular unit.

Commencing your task from the bottom row, resonate along the equidistant bases while drawing with precision to ensure an immaculate line-up.

Then, for the succeeding section, diverge by slightly altering the position of the point of each triangle in accordance with the intermediary gap that exists between two triangles below it.

Continue repeating this pattern while constructing rows, enveloping further ground until fully complete coverage has been ensured.

Last but not least, rigorously maintain accuracy by exploiting straight edges strategically laid beside precise measuring instruments.


Read more about isosceles triangle here:

https://brainly.com/question/11884412
#SPJ1

Adjacent angles. please don't get it wrong!

Answers

The adjascent angles to angle EDC is angle EDI and CDH.

What are adjascent angles?

Two angles are said to be adjacent angles when they share the common vertex and side. The sum of adjascent angles is 180°. This means that adding two adjascent angles together will give 180°. Adjascent angles are also called supplementary angles.

Examples of adjascent angles in the diagram include;

AEB Is adjascent to AED

and also there are two angles that are adjascent to angle EDC. They are;

angle ED1 and CDH

Therefore the adjascent angles to angle EDC is angle EDI and CDH.

learn more about adjascent angles from

https://brainly.com/question/28394984

#SPJ1

A soccer field is 80 yards wide and 110 yards long. If a person walks across the field along the diagonal instead of walking the length and width of the field, how much shorter is the distance

Answers

So the person would save approximately 244 yards by walking diagonally across the field instead of walking the length and width of the field separately.

what is  approximately  ?

"Approximately" is a word that is used to indicate that a value, quantity, or measurement is close to the actual or precise value, but not exactly the same. It means that the stated value is an estimate or approximation, and may be slightly different from the true value.

In the given question,

Using the Pythagorean theorem, we can find the length of the diagonal of the soccer field:

diagonal² = length² + width²

diagonal² = 110² + 80²

diagonal² = 12,100 + 6,400

diagonal² = 18,500

diagonal = √18,500

diagonal ≈ 136 yards

So the person walking diagonally across the field would cover a distance of approximately 136 yards.

To compare this with the distance they would cover if they walked the length and width of the field separately, we can use the formula for the perimeter of a rectangle:

perimeter = 2(length + width)

perimeter = 2(110 + 80)

perimeter = 2(190)

perimeter = 380 yards

Therefore, if the person walked the length and width of the field separately, they would cover a total distance of 380 yards.

The difference between these two distances is:

380 - 136 = 244 yards

So the person would save approximately 244 yards by walking diagonally across the field instead of walking the length and width of the field separately.

To know more about approximately, visit:

https://brainly.com/question/30707441

#SPJ1

So the person would save approximately 244 yards by walking diagonally across the field instead of walking the length and width of the field separately.

what is  approximately  ?

"Approximately" is a word that is used to indicate that a value, quantity, or measurement is close to the actual or precise value, but not exactly the same. It means that the stated value is an estimate or approximation, and may be slightly different from the true value.

In the given question,

Using the Pythagorean theorem, we can find the length of the diagonal of the soccer field:

diagonal² = length² + width²

diagonal² = 110² + 80²

diagonal² = 12,100 + 6,400

diagonal² = 18,500

diagonal = √18,500

diagonal ≈ 136 yards

So the person walking diagonally across the field would cover a distance of approximately 136 yards.

To compare this with the distance they would cover if they walked the length and width of the field separately, we can use the formula for the perimeter of a rectangle:

perimeter = 2(length + width)

perimeter = 2(110 + 80)

perimeter = 2(190)

perimeter = 380 yards

Therefore, if the person walked the length and width of the field separately, they would cover a total distance of 380 yards.

The difference between these two distances is:

380 - 136 = 244 yards

So the person would save approximately 244 yards by walking diagonally across the field instead of walking the length and width of the field separately.

To know more about approximately, visit:

https://brainly.com/question/30707441

#SPJ1

Describe the sampling distribution of p. Assume the size of the population is 15,000. n=700​, p=0.6 Question content area bottom Part 1 Choose the phrase that best describes the shape of the sampling distribution of p below. A. Approximately normal because n≤0.05N and np(1−p)<10. B. Approximately normal because n≤0.05N and np(1−p)≥10. C. Not normal because n≤0.05N and np(1−p)<10. D. Not normal because n≤0.05N and np(1−p)≥10. Part 2 Determine the mean of the sampling distribution of p. μp=enter your response here ​(Round to one decimal place as​ needed.) Part 3 Determine the standard deviation of the sampling distribution of p. σp=enter your response here ​(Round to three decimal places as​ needed.)

Answers

Part 1:

The correct answer is B. The sampling distribution of p is approximately normal because n is less than 5% of the population size (n ≤ 0.05N) and np(1-p) is greater than or equal to 10 (np(1-p) ≥ 10).

Part 2:

The mean of the sampling distribution of p is equal to the population proportion, which is 0.6. Therefore, μp = 0.6.

Part 3:

The standard deviation of the sampling distribution of p is given by the formula:

σp = sqrt((p(1-p))/n)

Substituting p = 0.6 and n = 700, we get:

σp = sqrt((0.6(1-0.6))/700)

σp ≈ 0.024

Therefore, the standard deviation of the sampling distribution of p is approximately 0.024.


Part 1:

The shape of the sampling distribution of p can be determined using the following criteria:
- np(1-p) ≥ 10
- n ≤ 0.05N

Here, n=700, N=15000, and p=0.6.

np(1-p) = 700 * 0.6 * (1-0.6) = 168.

Since np(1-p) ≥ 10, the first criterion is met.

n/N = 700/15000 = 0.0467, which is less than 0.05. So the second criterion is also met.

Therefore, the sampling distribution of p is approximately normal.

The correct answer is (B) Approximately normal because n≤0.05N and np(1−p)≥10.


Part 2:

The mean of the sampling distribution of p is given by the formula:

μp = p = 0.6

Therefore, the mean of the sampling distribution of p is 0.6.

The answer is μp = 0.6.


Part 3:

The standard deviation of the sampling distribution of p is given by the formula:

σp = sqrt [ p(1-p) / n ]

Substituting the values, we get:

σp = sqrt [ 0.6 * (1-0.6) / 700 ]

σp = 0.026

Therefore, the standard deviation of the sampling distribution of p is 0.026.

The answer is σp = 0.026.

248 meters per second = miles per hour

Answers

Answer:

554.76 miles per hour

Step-by-step explanation:

[tex]\frac{248 meters}{1 second}[/tex] x [tex]\frac{3600 seconds}{1 hour}[/tex] x [tex]\frac{1 mile}{1609.34 meters}[/tex]

= 554.76 miles per hour

Answer:

[tex]\sf 554.76(mi/h).[/tex]

Step-by-step explanation:

1. Write the initial expression.

[tex]\sf \dfrac{248(m)}{s}[/tex]

2. Using conversion factors, convert from meters to miles.

a) First, convert the meters to kilometers.

[tex]\sf 248(m)*\dfrac{1(km)}{1000(m)} =0.248(km)[/tex]

Here, the meters cancel, since one is on the numerator and the other one is expressed as a denominator, and we simpyl multiply the value by the fraction, resulting in a number that would be a value for kilometers.

b) Convert from kilometers to miles.

[tex]\sf 0.248(km)*\dfrac{1(mi)}{1.60934(km)} =0.1541(mi)[/tex]

3. Convert the seconds into hours.

[tex]\sf 1(seconds)*\dfrac{1(hour)}{3600(seconds)} =\frac{1}{3600}(h)[/tex]

4. Rewrite the initial expression using the calculated converted values.

[tex]\sf \dfrac{0.1541(mi)}{\dfrac{1}{3600} (h)} =554.76(mi/h)[/tex]

20 students each rolled dice 5 times each to measure the median. Here is the data in the picture attached. What can we infer from this graph by looking at the median data?
A. when rolling a dice multiple times, the median is less likely to fall between numbers 1 and 6.

B. it's not possible to tell the likelihood of where the median is going to be when measuring probability since rolling dice is completely randomized, etc.

C. some other response

Answers

We can deduce that option A is likely to be true based on the given graph of rolling dice median data.

What is the median?

The median is the value in the middle of a data set, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median.

The graph illustrates that the median value of the rolls is closer to the center of the possible outcomes (numbers 3, 4, and 5) than the extremes (numbers 1 and 6).

This implies that when rolling a dice several times, the median is less likely to fall between the numbers 1 and 6.

However, because rolling the dice is a random process, there is always a degree of uncertainty in predicting the outcomes.

Learn more about dice here:

https://brainly.com/question/23637540

#SPJ1

Using a table find the range of a function for the given domain f(x)equals to 2x^2-7 with domain X equals to {-4,-2,0,3}

Answers

The range of function for the given domain are {25, 8, -7, 11}

Given that, a function f(x) = 2x²-7, we need to find the range of the function, for the given domain, x = {-4, -2, 0, 3},

So,

Domain = All the input values.

Range = All the output values.

So, to find the range we will put the value of x which is the domain and the value obtained of f(x) will be the range,

f(x) = 2x²-7

For, x = -4,

f(-4) = 16×2 - 7 = 25

f(-4) = 25

f(-2) = 4 × 2 - 7 = 8

f(-2) = 8

f(0) = -7

f(3) = 9 × 2 - 7

f(3) = 11

Hence the range of function for the given domain are {25, 8, -7, 11}

Learn more about domain and range, click;

https://brainly.com/question/28135761

#SPJ1

4X Minus 3y Equal 21​

Answers

Step-by-step explanation:

The given equation is:

4x - 3y = 21

To solve for y, we can rearrange the equation as follows:

4x - 21 = 3y

Dividing both sides by 3, we get:

y = (4x - 21) / 3

Therefore, the solution to the equation is:

y = (4x - 21) / 3

Express as a product. 1+2cos a

Answers

Answer:

Therefore, 1 + 2cos a can be expressed as the product of 2 and (cos a/2 + 1).

1 + 2cos a = 2(cos a/2 + 1)

Step-by-step explanation:

We can use the trigonometric identity:

cos 2a = 1 - 2 sin^2 a

to rewrite 1 + 2cos a as:

1 + 2cos a = 1 + 2(1 - sin^2 a/2)

= 1 + 2 - 2(sin^2 a/2)

= 3 - 2(sin^2 a/2)

Now, using another trigonometric identity:

sin a = 2 sin(a/2) cos(a/2)

we can rewrite sin^2 a/2 as:

sin^2 a/2 = (1 - cos a)/2

Substituting this into the expression for 1 + 2cos a, we get:

1 + 2cos a = 3 - 2((1 - cos a)/2)

= 3 - (1 - cos a)

= 2 + cos a

Therefore, 1 + 2cos a can be expressed as the product of 2 and (cos a/2 + 1).

1 + 2cos a = 2(cos a/2 + 1)

What is the probability of flipping a coin 12 times and getting heads 5 times?
Round your answer to the nearest tenth of a percent.
OA. 12.1%
OB. 3.1%
OC. 19.3%
OD. 5.4%

Answers

Answer:

The correct answer is D. 5.4% after rounding my answer off to the nearest tenth of a percent.

Question 1
Company X tried selling widgets at various prices to see how much profit they would make. The following table shows the widget selling price, x, and the total profit earned at that price, y. Write a quadratic regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the profit, to the nearest dollar, for a selling price of 7.75 dollars.

Question 2
A tennis ball is dropped from a certain height. Its height in feet is given by h(t)=-16t^2+14 where t represents the time in seconds after launch. What is the ball’s initial height?

Answers

The quadratic regression equation is y = -140.61x² + 2,954.23x - 7,512.85 and the ball's initial height is 14 feet.

Writing the quadratic regression equation

Given the set of data

Using a graphing tool, we have

C =  -7,512.85B = 2,954.23A = -140.61

A quadratic regression equation is represented as

y = Ax² + Bx + C

So, we have

y = -140.61x² + 2,954.23x - 7,512.85

When the selling price is 7.75, we have

y = -140.61(7.75)² + 2,954.23(7.75) + -7,512.85

Evaluate

y = 6937

The initial height

The ball's initial height is the height when t = 0, which means we need to evaluate the function h(0).

h(0) = -16(0)^2 + 14

h(0) = 0 + 14

h(0) = 14

Therefore, the ball's initial height is 14 feet.

Read more about quadratic equation at

https://brainly.com/question/25841119

#SPJ1

The size of fish is very important to commercial fishing. A study conducted in 2012 found the length of Atlantic
cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm (Ovegard, Berndt
& Lunneryd, 2012). Assume the length of fish is normally distributed.

b) What is the length in cm of the longest 15% of Atlantic cod in this area?

Answers

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by

[tex]\text{Z}=\dfrac{\text{X}-\mu}{\sigma}[/tex]

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.

In this problem, we have that:

A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm, so [tex]\mu=49.9,\sigma=3.74[/tex].

What is the length in cm of the longest 15% of Atlantic cod in this area?

We have to find the value of X for the value of Z that has a p-value of 0.85.

Looking at the z-score table, we have that Z = 1.04 has a p-value of 0.8508. So, we have to find the value of X when .

So

[tex]\text{Z}=\dfrac{\text{X}-\mu}{\sigma}[/tex]

[tex]1.04=\dfrac{\text{X}-49.9}{3.74}[/tex]

[tex]\text{X}-49.9=3.8896[/tex]

[tex]\text{X}=53.7896[/tex]

The length of the longest 15% of Atlantic cod in this area is 53.79 cm, rounded to 2 decimal places.

the question is on the screenshot

Answers

When the simultaneous equation is solved, we have that;  x = 2 and y = 3

What is the solution to a simultaneous equation

Simultaneous equations are a set of two or more equations that are solved together to find the values of the variables that satisfy all of the equations at the same time.

We have the equations;

9x - 7y = -3 --- (1)

-3x + 5y = 9 ---- (2)

Multiply (1) by 1 and (2) by (3)

9x - 7y = -3  ---- (3)

-9x + 15y = 27 ----- (4)

Add (3) and (4)

8y = 24

y = 3

Substitute y = 3 into (1)

9x - 7(3) = -3

9x - 21 = -3

9x = -3 + 21

9x = 18

x = 2

Thus the solution is x = 2 and y = 3

Learn more about simultaneous equation:https://brainly.com/question/31067094

#SPJ1

multiply (−3x+4)(2x−1)

Answers

After multiplying (−3x+4) with (2x−1) we get a quadratic equation which is equal to −6x² + 11x − 4.

To multiply the expressions (−3x+4)(2x−1), we use the distributive property of multiplication:

(−3x+4)(2x−1) = −3x(2x) + 4(2x) − 3x(−1) + 4(−1)

Simplifying the above expression, we get:

= −6x² + 8x + 3x − 4

= −6x² + 11x − 4

Therefore, the product of (−3x+4)(2x−1) is −6x² + 11x − 4.

We can also use the FOIL method to multiply the two expressions:

(−3x+4)(2x−1) = −3x(2x) −3x(−1) + 4(2x) + 4(−1)

= −6x² + 3x + 8x − 4

= −6x² + 11x − 4

Either method can be used to get the same result.

To learn more about expression click on,

https://brainly.com/question/29135159

#SPJ1

I need help with my assignments

Answers

Answer :

Answer : 1.796

The explanation is in the pictures.

Given this equation what is the value of x at the indicated point

Answers

Answer:

y = 4

Step-by-step explanation:

[tex]y = -3*-2 - 2\\y = 4[/tex]

12.
What is the product of
3 and 10?

Answers

Answer:

Any number multiplied by 10 equals to the number and a 0 at the end

Therefore 3×10=3

Other Questions
CO (Which of the following is the result of the operation below?123 61.1-20 21.1511-R1+R2+R2 Why do the Group A compounds, each with the same concentration (0.05 M), have such large differences in conductivity values? Hint: Write an equation for the dissociation of each. Explain. Why is research considered to be the heart and soul of good writing elaborate The slope of the line is Use PMI to prove that 22n+1 +7 is a multiple of 3 for n1. Trace the blood flow from the superior mesenteric vein to the superior mesenteric artery. Professional Golfers Earnings Two random samples of earnings of professional golfers were selected. One sample was taken from the Professional Golfers Association, and the other was taken from the Ladies Professional Golfers Association. At , is there a difference in the means? The data are in thousands of dollars. Use the critical value method with tables.PGA:446, 1147, 9188, 5687, 49108553, 7573, 375LPGA76, 122, 466, 863, 1001876, 2029, 4364, 2921use u1 for the mean earnings of pga golfers. assume the variables are normally distributed and the variances are unequalh0: h1:this hypothesis test is (one tailed or two tailed) critical value(s)t=reject or do not reject the null hypothesisis there enough evidence to support the claim the development of transport and communication in nigeria from colonial times till 1970 the vapor pressure of water at 20 v c is 17.54 torr. using this data and h ap= 40.65 kj/mol for water calculate g0 298 for the change h2o(`) h2o(g)? A property manager has successfully negotiated a lease of a home built in 1965 to tents.who have no children. Regarding disclosure lead based paint, the property manager shoulda. do nothing the regulations only apply when children are presentb. have all the lead based paint covered or removed by a licensed mitigatorsc. gives the tenants 10 days to test thehome and provide the with the required bookletsd. have the tenants signs the disclosure form and provide them with the required booklet let a be a finite set. let s be the set of all subsets of a. then |s| = 2|a| . (the set s is called the power set of a To get around the problems of information lag and impact lag, Alan Greenspan led the Fed in using which of these methods for a period of nearly 20 years, and with what results?a. Greenspan used explicit inflation targeting but met few inflation goals; inflation was relatively high.b. Greenspan used explicit inflation targeting and met many inflation goals; inflation stayed relatively low and recessions were modest.c. Greenspan used implicit inflation targeting to stop inflation before it began; inflation was relatively high, nonetheless.d. Greenspan used implicit inflation targeting to stop inflation before it began; inflation stayed relatively low and recessions were modest. what volume of a 25M solution can be prepared with 28.5g of K2S molar mass 110.26g A client in acute respiratory distress is admitted with arterial blood gas results of: PH 7.30; PO2 58, PCO2 34; and HCO3 19. The nurse should make which conclusion about these results?Metabolic acidosisRespiratory alkalosisRespiratory acidosisMetabolic alkalosis n the absence of trade, total surplus in the guatemalan coffee market amounts to (a) Calculate the force (in N) the woman in the figure below exerts to do a push-up at constant speed, taking all data to be known to three digits. (You may need to use torque methods from a later chapter.) 401.15(b)How much work (in J) does she do if her center of mass rises 0.260 m?(c) What is her useful power output (in W) if she does 30 push-ups in 1 min? (Should work done lowering her body be included? See the discussion of useful work in Work, Energy, and Power in Humans.) a distant star explodes, releasing a burst of energy. which of the following best predicts how waves carrying energy from the explosion will be perceived on earth? responses light from the explosion will be perceivable on earth long before sound. light from the explosion will be perceivable on earth long before sound. light and sound from the explosion will be perceivable on earth simultaneously. light and sound from the explosion will be perceivable on earth simultaneously. only the sound will be perceivable from earth. only the sound will be perceivable from earth. only the flash of light will be perceivable from earth. Hi! Can you please find two places to put prepositional openers in this?[2] During one of the darkest periods in human history, Anne Frank was a courageous young Jewish girl who fled from Germany to the Netherlands with her family because they wanted to escape the persecution of the Nazis during World War II. She enjoyed a happy and carefree childhood, enjoying school, friends, and games. She became especially fond of reading and writing stories. [1] Her father owned a successful business that sold spices and pectin. [1]Anne was a vivacious, curious, and expressive girl. However, her life changed dramatically when her sister, Margot, received a summons to report to a Nazi labor camp in Germany. The family decided to go into hiding in a secret annex behind her father's office building, which had a hidden door behind a bookcase. There, they lived constantly in fear and hardship, relying on their non-Jewish friends, especially Miep Gies, to provide them with food, books, and news. Anne recorded her thoughts and feelings in her diary, which she called "Kitty". After two years of hiding, someone betrayed them and informed the Nazis of their location. They were arrested and separated by gender. Anne, her mother, and Margot were sent to different concentration camps. Anne suffered from hunger, disease, and abuse in the camp. She died shortly before her sixteenth birthday. [1] Her diary survived and became one of the most famous and influential books in the world. the summary of wings of fire book 1 chapter 19 Which words from the text best support the narrator'sheated tone?O wonder, holy, and seriouslyfashion, Frappuccino, and hijabsadistic, masochistic, and snottycontemplating, covering, and parents