Answers
Answer:
The graph will be translated down 2 units.
The new horizontal asymptote is y=2 because the graph now crosses over the y axis at 2. This is at the point (0,2).
Related Questions
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]
Based only on the information given in
theorems or postulates could be given as reasons why AHIJKLM?
Check all that apply.
H
A. LL
L
a
K
B. AAS
C. ASA
D. LA
☐E. HA
OF. HL
MA
Answers
The congruency rules which satisfy the given triangles are (B) AAS and (D) HA.
What is triangle congruency?
Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.
Slide, twist, flip, and turn these triangles to create an identical appearance.
If two triangles meet all 5 requirements for congruence, then they are congruent.
They are right angle-hypotenuse-side (RAHS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and side-angle-side (SSS). (RHS).
So, according to the given, we can observe that:
2 pairs of angles are congruent one pair of which is 90°.
And 1 pair of sides are congruent.
Then, the rules that satisfy here will be:
AAS and HA
Therefore, the congruency rules which satisfy the given triangles are (B) AAS and (D) HA.
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Complete question:
Based only on the information given in the diagram, which congruence theorems or postulates could begin as reasons why HIJ = KLM?
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.
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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.
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
please answer ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
(a) Lena got 33 more
(b) Last one
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 %.
Posted a image so that you can see it
Answers
The missing values are b = 4.37, C = 11° and A = 134°
Given is a triangle, we need to find the missing lengths and angles,
So,
Using the cosine rule,
b² = a²+c² - 2ac Cosb
b = √4²+7²-2(4)(7)cos35°
b = √16+49-45.87
b = √19.13
b = 4.37
Now, using the sine rule,
Sin C / 7 = Sin 35° / 4.37
C = 11°
Applying the angle sum property of triangles,
A = 180°-(11°+35°)
A = 134°
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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)
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 StepsInitially, 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.
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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
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.
Cassie uses 1 quart cranberry juice, 1/2 gallon ginger ale, and 1 1/2 pint orange juice to make friut punch .How many 6- ounce servings can she make
Answers
She can make 20 6-ounce servings to make fruit punch
How to determine this
Cassie uses 1 quart cranberry juice,
1/2 gallon ginger ale,
1 1/2 pint orange juice.
1 quart of cranberry juice when converted to ounce
1 quart = 32 ounces
1/2 gallon of ginger ale when converted to ounce
1 gallon = 128 ounces
1/2 gallon = 128/2
1/2 gallon = 64 ounces
1 1/2 pint orange juice to make fruit punch
1 pint = 16 ounces
1 1/2 pint = 16 + 16/2 ounces
= 16 + 8
= 24 ounces
How many 6-ounces servings can she make
32 + 64 + 24
= 120 ounces
6-ounces that can be made
= 120 ounces/6 ounces
= 20 servings
Therefore, 20 6-ounce servings can be make for fruit punch
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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
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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).
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. 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.
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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 equationGiven the set of data
Using a graphing tool, we have
C = -7,512.85B = 2,954.23A = -140.61A 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 heightThe 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.
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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 :)
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))
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
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The figure below shows roads near a pond. Each segment of the triangle represents a road or a path, except AB which represents the distance across the pond. Are the two triangles similar?
Answers
Answer:
Yes, triangles ABC and DEC are similar by AA. Angles ABC and DEC are congruent, and angles ACB and DCE are congruent.
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 quadrantsa. (-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.
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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.
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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.
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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
I need help with my assignments
Answers
Answer :
Answer : 1.796
The explanation is in the pictures.
what is the length of a scaled drawing with a width of 9cm and the scale factor 3/4?
Answers
The length of a scaled drawing with a width of 9cm and the scale factor 3/4 s 6.75 cm
Calculating the length of a scaled drawingFrom the question, we have the following parameters that can be used in our computation:
Width = 9cm
Scale factor = 3/4
Using the above as a guide, we have the following:
Length of a scaled drawing = Width * Scale factor
Substitute the known values in the above equation, so, we have the following representation
Length of a scaled drawing = 9 * 3/4
Evaluate
Length of a scaled drawing = 6.75
Hence, the length of a scaled drawing is 6.75 cm
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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.
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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.
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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}
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Question 1(Multiple Choice Worth 2 points)
(Slope-Intercept Form MC)
The amount of laps remaining, y, in a swimmer's race after x minutes can be represented by the graph shown.
coordinate grid with the x axis labeled time in minutes and the y axis labeled number of laps remaining with a line from 0 comma 24 and 6 comma 0
Determine the slope of the line and explain its meaning in terms of the real-world scenario.
The slope of the line is 6, which means that the swimmer will finish the race after 6 minutes.
The slope of the line is 24, which means that the swimmer must complete 24 laps in the race.
The slope of the line is −4, which means that the swimmer will complete 4 laps every minute.
The slope of the line is negative one fourth, which means that the swimmer completes a lap in one fourth of a minute.
Question 2(Multiple Choice Worth 2 points)
(Systems of Linear Equations MC)
Two siblings, sibling A and sibling B, are saving money for their summer vacation. The amount of money that sibling A has in their savings account, y, can be represented by the equation y = 10x + 25, where x represents the number of weeks. Sibling B's savings can be represented by the equation y = 5x + 50.
Based on the graph of this system of linear equations, after how many weeks will their savings accounts have the same amount of money?
2.5 weeks
5 weeks
15 weeks
75 weeks
Question 3(Multiple Choice Worth 2 points)
(Identifying Transformations LC)
Polygon ABCD is rotated to get polygon A′B′C′D′.
Graph of polygon ABCD in quadrant 2 with point A at negative 7 comma 5, point B at negative 2 comma 8, point C at negative 2 comma 4, and point D at negative 4 comma 3 and polygon A prime B prime C prime D prime in quadrant 1 with point A prime at 5 comma 7, point B prime at 8 comma 2, point C prime at 4 comma 2, and point D prime at 3 comma 4
Determine the direction and angle of rotation.
270° clockwise rotation
270° counterclockwise rotation
90° counterclockwise rotation
180° clockwise rotation
Question 4(Multiple Choice Worth 2 points)
(Scatter Plots MC)
Data was collected on the price per cupcake on orders of different amounts from a bakery. The scatter plot shows the data that was gathered.
scatter plot titled cupcake pricing with the x axis labeled number of cupcakes and the y axis labeled cost per cupcake in dollars with points at 1 comma 6, 2 comma 5, 2 comma 5.5, 3 comma 5.5, 4 comma 5, 4 comma 5.5, 5 comma 4.5, 6 comma 3.5, 7 comma 2, 8 comma 1, and 9 comma 0.5
Which of the following describes the pattern of association for the scatter plot?
There is a weak, positive linear association.
There is a weak, negative linear association.
There is a strong, positive nonlinear association.
There is a strong, negative nonlinear association.
Question 5(Multiple Choice Worth 2 points)
(Similar Triangles MC)
Triangle ABC ~ triangle DEF.
triangle ABC with side AB labeled 11, side CA labeled 7.6 and side BC labeled 7.9 and a second triangle DEF with side DE labeled 2.2
Determine the measurement of FD.
FD = 1.52
FD = 1.58
FD = 1.1
FD = 5.5
Question 6(Multiple Choice Worth 2 points)
(Slope MC)
What is the slope of the line that contains the points (−3, −1) and (3, −10)?
Undefined
0
negative two thirds
negative three halves
Question 7(Multiple Choice Worth 2 points)
(Experimental Probability MC)
An experiment is conducted with a coin. The results of the coin being flipped twice 200 times is shown in the table.
Outcome Frequency
Heads, Heads 40
Heads, Tails 75
Tails, Tails 50
Tails, Heads 35
What is the P(No Heads)?
85%
75%
50%
25%
Question 8(Multiple Choice Worth 2 points)
(Dilations MC)
Triangle ABC is dilated to produce triangle A′B′C′.
Graph of a triangle ABC with vertices at A 10 comma 2, B 18 comma 2, C 18 comma 10. Triangle A prime B prime C prime with vertices at A prime 5 comma 1, B prime 9 comma 1, C prime 9 comma 5.
Determine the scale factor used to create the image.
one fourth
one half
2
4
Answers
The slope of the line is -4, which means that the swimmer will complete 4 laps every minute. For 5 weeks they have the same amount of money. The direction is 270° clockwise rotation. The pattern of scatter plot is that there is a weak, negative linear association. The measurement of FD = 1.52. The slope of the line is negative three halves. The probability of No Heads is 25%. The scale factor is one half. The correct answers are C), B), A), B), A), D), D) and B).
The slope of the line is the change in y divided by the change in x, which represents the rate of change of the line. In this case, the slope is negative 4, which means that for every minute that passes, the number of laps remaining decreases by 4. So, the swimmer completes 4 laps every minute.
To find the point at which the two savings accounts have the same amount of money, we need to set the two equations equal to each other and solve for x
10x + 25 = 5x + 50
5x = 25
x = 5
So, after 5 weeks, the two siblings will have the same amount of money saved.
The direction of rotation can be determined by looking at the relative positions of the vertices of the original polygon and its image. In this case, the vertices of the image are in quadrant 1, while the vertices of the original polygon are in quadrant 2. This means that the image has been rotated counterclockwise. Additionally, we can see that the image has been rotated by 90 degrees, so the angle of rotation is 90 degrees counterclockwise.
The scatter plot shows a general trend of decreasing cost per cupcake as the number of cupcakes in an order increases. However, there is a fair amount of variability in the data, so the association between the two variables is weak. Additionally, the association is negative, as the cost per cupcake decreases as the number of cupcakes in an order increases.
Similar triangles have proportional side lengths, so we can set up a proportion using corresponding side lengths of the two triangles
AB/DE = BC/EF = CA/FD
Plugging in the known values, we get
11/2.2 = 7.9/EF = 7.6/FD
Solving for FD, we get
FD = (7.6 * 2.2)/11 = 1.52
So, FD has a length of 1.52 units.
The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula
slope = (y2 - y1)/(x2 - x1)
Plugging in the given values, we get
slope = (-10 - (-1))/(3 - (-3)) = -9/6 = -3/2
So, the slope of the line is negative three halves.
The probability of getting no heads in two flips can be found by adding the frequencies of the outcomes where no heads occur (Tails, Tails) and (Tails, Heads) and dividing by the total number of trials
P(No Heads) = (50 + 35)/200 = 85/200 = 0.425 = 42.5%
So, the probability of getting no heads is 42.5%, which is equivalent to 0.425.
Dilations involve multiplying the coordinates of each vertex by a scale factor. To find the scale factor used in this dilation, we can compare the corresponding side lengths of the original triangle and its image. In this case, we can see that the sides of the image are half as long as the corresponding sides of the original triangle. So, the scale factor used to create the image is one half.
To know more about Probability:
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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.
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
[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]