Mathematics High School

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Answer 1

Answer:

circle area = 50.24 units²

Step-by-step explanation:

circle area = πr² = 3.14(4²) = 3.14(16) = 50.24 units²

Related Questions

def:This is what we call the money you get back when you pay for something.

term:

Answers

Answer:

Change

Step-by-step explanation:

I call what I get back in return, change. The money we get back if you pay extra for something you buy.

Hope this helps!

Sue is 15 years older than Mike. in 5 years mikes’s age will be ½ sue’s age. What is the present age of each?

Show work!!!!

Answers

Answer:

Step-by-step explanation:

Sue in 5 years would 20, meaning Mike would be 10. Subtract 5 from Mike to get their current age.

Answer:

Mike= 10 years old

Sue= 25 years old

Step-by-step explanation:

Let the present age of Sue be s years old, while that of Mike be m years old.

Present

s= m +15 -----(1)

In 5 years

Sue's age= s +5

Mike's age= m +5

Given that Mike would be ½ of Sue's age in 5 years,

m +5= ½(s +5)

Multiply both sides by 2:

2(m +5)= s +5

Expand:

2m +10= s +5

2m +10 -5= s

s= 2m +5 -----(2)

Substitute (1) into (2):

m +15= 2m +5

2m -m= 15 -5

m= 10

Substitute m= 10 into (1):

s= 10 +15

s= 25

Thus, the present age of Mike is 10 years old and the present age of Sue is 25 years old.

The top of a tall building has four triangular faces that slope toward a single point. What shape best models the top
of the building?
А cube
c. triangular pyramid
B cone
Dsquare pyramid
Choose

Answers

Answer:

Option D, square pyramid

Step-by-step explanation:

The base of a square pyramid is a square of side of length "A"

and the height of the pyramid is "h"

From the four sides of base of pyramid, four surfaces arises that are slanting and meet at a point at the top at height "h"

Hence, option D is correct

If an argument has a self-contradictory statement as a premise, then the counterexample set of the argument is:

Answers

The counterexample set of an argument with a self-contradictory statement as a premise is empty, as there are no valid counterexamples that can be presented to contradict the argument.

If an argument has a self-contradictory statement as a premise, then the counterexample set of the argument is empty, meaning there are no counterexamples that can be provided to disprove the argument. A self-contradictory statement is one that inherently contradicts itself, containing both a proposition and its negation. Since a self-contradictory statement cannot be true, any argument that relies on such a premise is inherently flawed and cannot be logically valid.

In logic, a counterexample is a specific example or case that demonstrates the falsity or invalidity of a general statement or argument. However, when the premise itself is self-contradictory, it is impossible to find a counterexample that would refute the argument because the premise itself is contradictory.

Therefore, the counterexample set of an argument with a self-contradictory statement as a premise is empty, as there are no valid counterexamples that can be presented to contradict the argument.

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You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35 bacteria reveals a sample mean of = 66 hours with a standard deviation of 8 = 6.2 hours You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.5 hours at a 98% level of confidence. What sample size should you gather to achieve a 0.5 hour margin of error? Round your answer up to the nearest whole number. n= bacteria

Answers

You should gather a sample of at least 29 bacteria to estimate the mean lifespan for this species of bacteria with a margin of error of 0.5 hours at a 98% level of confidence.

We are given a preliminary sample of 35 bacteria with a sample mean of 66 hours and a standard deviation of 6.2 hours. We need to calculate the sample size required to achieve the desired margin of error.

To calculate the sample size, we can use the formula:

n = (Z * σ / E)²

Where:

n is the required sample size

Z is the z-score corresponding to the desired confidence level (98% confidence corresponds to a z-score of 2.33)

σ is the standard deviation of the population

E is the desired margin of error

Plugging in the values, we have:

n = (2.33 * 6.2 / 0.5)²

Calculating the expression within parentheses:

2.33 * 6.2 / 0.5 ≈ 28.84

Rounding up to the nearest whole number, the required sample size is 29 bacteria.

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Caleb has a guaranteed minimum salary of $1,200 per month, or 5.5% of his total monthly sales (as commission), whichever is higher. Last month, his total sales were $45,000. What was his gross pay?

Answers

Answer: $1,200 + 5.5% + $45,000= 46200.055 or 46200

Step-by-step explanation: All you have to do is just add because if you read the text it has a key word total.

Caleb has a guaranteed minimum salary of $1,200 per month, or 5.5% of his total monthly sales (as commission), whichever is higher. Last month, his total sales were $45,000. What was his gross pay?

In a standard deck of cards, what is the probability of drawing a face card followed by drawing a non-face card? Answer choices are in the form of a percentage, rounded to the nearest whole number.
a.) 45%
b.)27%
c.)4%
d.)18%

Answers

Answer: 18% (choice D)

Reason:

The face cards are Jack, Queen, and King. There are 3 face cards per suit, and 4 suits, giving 3*4 = 12 face cards and 52-12 = 40 non-face cards in a standard deck.

12/52 = probability of getting a face card on 1st draw40/51 = probability of getting a non-face card on 2nd draw

The 52 dropped to 51 because we are not putting the 1st card back.

Multiply out those fractions:

(12/52)*(40/51) = 0.180995 approximately.

Move the decimal point two spots to the right to convert to a percentage.

0.180995 becomes 18.0995% and rounds to 18%

In a standard deck of cards, there are 12 face cards (4 kings, 4 queens, and 4 jacks) out of a total of 52 cards. The probability of drawing a face card followed by drawing a non-face card from a standard deck of cards is 18%.

To calculate the probability, we first determine the probability of drawing a face card on the first draw, which is 12/52 or 3/13. After drawing a face card, there are 51 cards remaining in the deck, of which 40 are non-face cards. Therefore, the probability of drawing a non-face card on the second draw, given that a face card was drawn on the first draw, is 40/51.

To find the overall probability of drawing a face card followed by a non-face card, we multiply the probabilities of the individual events. So the probability is (3/13) * (40/51) = 120/663, which is approximately 0.181 or 18%. Rounded to the nearest whole number, the probability is 18%.

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What is 14 + 6 =
+11

Answers

Since, 14 + 6 = 20

Therefore, 14 + 6 = 9 + 11

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Answer:

Step-by-step explanation:

A portion of the Quadratic Formula proof is shown. Fill in the missing statement.
A. x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
B. x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 4 times a
C. x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a squared
D. x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over a

Answers

The missing statement in the Quadratic Formula proof is: A. x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a

This statement represents the quadratic formula, where x is the variable we are solving for in the quadratic equation ax^2 + bx + c = 0. The formula gives the solutions for x in terms of the coefficients a, b, and c of the quadratic equation.

The expression (b^2 - 4ac) represents the discriminant, which determines the nature of the solutions (real, imaginary, or equal). The square root of the discriminant is taken, and then the entire expression is divided by 2a to obtain the values of x. The "plus or minus" indicates that there are two possible solutions.

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The maximum weight of a shipping container is 125 pounds. What is the maximum weight in kilograms?
a. 56.7 kg
b. 62.5 kg
c. 75 kg
d. 100 kg

Answers

The maximum weight in kilograms is approximately 56.7 kg. Hence, the correct option is (a) 56.7 kg.

The maximum weight of a shipping container is 125 pounds.

We need to find out what is the maximum weight in kilograms.

Step 1: Find out 1 pound weight in kilograms We know that 1 pound = 0.45359237 kilograms (we already know that)

Step 2: Convert the maximum weight in pounds to kilograms

Maximum weight in pounds = 125 Maximum weight in kilograms

= 125 x 0.45359237

= 56.69904625≈ 56.7 kg

Therefore, the maximum weight in kilograms is approximately 56.7 kg.

Hence, the correct option is (a) 56.7 kg.

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What is the area of a regular hexagon with an apothem of 28m in length

Answers

Step-by-step explanation:

can you check again the question , seems like something is missing.

here is my question.

Answers

Answer:

the answer is 18

Step-by-step explanation:

9X6=54

54/3=18

Answer:

Step-by-step explanation:

you make a one time deposit of 2000 years that earn 5% simple interest. how much interest would you earn in 2 years ?

Answers

Answer:

$2205

Step-by-step explanation:

equation set up

2000 (1.05)^2

please and this quickly and no links please

Answers

Answer:

11 months

Step-by-step explanation:

Since he has already read 14 books subtract them from the 80 books. you'll end up with 66. then diviid by 6 and you'll get 11 months

Let A and B be disjoint compact subspaces of a Hausdorff space X. Show that there exist disjoint open sets U and V, with A⊂U and B⊂V.

Answers

In Hausdorff-space "X", if A and B are disjoint "compact-subspaces", then there exist disjoint "open-sets" U and V such that A is contained in U and B is contained in V, because Hausdorff property ensures the existence of disjoint open neighborhoods for any two distinct points.

To prove existence of disjoint "open-sets" U and V with A⊂U and B⊂V, where A and B are "compact-subspaces" (disjoint) of "Hausdorff-space" X, we use the steps:

Step (1) : Since A and B are disjoint compact subspaces, we use the Hausdorff property to find open sets Uₐ and [tex]U_{b}[/tex] such that A⊂Uₐ and B⊂[tex]U_{b}[/tex], and Uₐ∩[tex]U_{b}[/tex] = ∅. This can be done for every pair of points in A and B, respectively, since X is Hausdorff.

Step (2) : Consider the set U = ⋃ Uₐ, where "union" is taken over all of Uₐ for each point in A. U is = union of "open-sets", hence open.

Step (3) : Consider the set V = ⋃ [tex]U_{b}[/tex], where union is taken over for all [tex]U_{b}[/tex] for "every-point" in B. V is also a union of open-sets and so, open.

Step (4) : We claim that U and V are disjoint. Suppose there exists a point x in U∩V. Then x must be in Uₐ for some point a in A and also in [tex]U_{b}[/tex] for some point b in B. Since A and B are disjoint, a and b are different points. However, this contradicts the fact that Uₐ and [tex]U_{b}[/tex] are disjoint open sets.

Therefore, U and V are disjoint open sets with A⊂U and B⊂V.

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Which of the following is an example of a physical property?(55 points)

A. nail rusting

B. camp fire burning

C. Table salt melting

D. silver spoon tarnishing

Answers

It’s c I think sorry if I’m wrong, I did this lesson long time ago

How do you find the radius of a circle?

Answers

Divide the diameter by 2

Answer:

Divide the diameter by two

example if the diameter is 25 you divide 25 by 2 to get 12.5 as your radius .

f left parenthesis x right parenthesis equals 3 over 4 x squared .

Answers

Answer:

Step-by-step explanation: try your best

15 POINTS PLSS HELP THIS IS MY 3RD TIME POSTING THIS BC NO ONE WILL HELP ME PLSSS AND NO WRONG ANSWERS PLS I REALLY NEED HELPP

Answers

Answer:

to find the equation of the line you use y=mx+b

Step-by-step explanation:

m means the slope and the b is the y intercept of the line. so in this case the b is 5. the m is 6 so the answer is y=6x+5

The index rises 4.9% over the course of the day. What is the value of the index at the end of the day? Round your answer to the nearest hundred.

Answers

Answer: $70400

Step-by-step explanation:

Attached is the question:

Based on the information given in the question:

Value of Stock X = 5000 × $4.30 = $21500

Value of Stock Y = 2000 × $3.20 = $6400

Value of Stock Z = 8000 × $4.90 = $39200

Total Stock Value = $67100.

Since there's a 4.9% increase in value of index, the value of the index at end of the day will be:

= $67100 × (100% + 4.9%)

= $67100 × 104.9%

= $67100 × 1.049 =

= $70388

= $70400 approximately

Answer:

$70,400

Explanation:

Ap3x

What is the image of (-10,-8) after a dilation by a scale factor of 1/2 centered at the
origin?

Answers

Answer:

(-5, -4)

Step-by-step explanation:

A dilation at the origin would just result with you multiplying the coordinates by the scale factor.

-10 * 1/2 and -8 * 1/2

Simplify the expression 7 − 1x −1(−5x) − 10 + 4x

Answers

Answer: 3x-1(-5x)-3

Step-by-step explanation:

−3-x-1(-5x)+4x

-3+3x-1(-5x)

3x-1(-5x)-3

The simplified expression is 8x - 3

7 - 1x - 1(-5x) - 10 + 4x
7 + (-1x) + (5x) + (-10) + 4x
7 + (-10) + (-1x) + 5x + 4x
-3 + 8x
8x - 3

:)

Select the expression that is equivalent to (m2-16)

A
(m-4)2

B
(m+4)(m-4)

C
(m2+8m+16)

D
(m2-8m+16)

Answers

B because we’re looking at factoring perfect squares and the the square root of m^2 or 1^2 is 1 and that of 16 is 4

Instructions: Write the equation of the line in Slope-Intercept Form given the information below.
Slope =
-7/4
Y-Intercept = 5
Slope-Intercept Form:

Answers

Answer:-8

Step-by-step explanation:

Answer:

y = -7/4x + 5

Step-by-step explanation:

Step-by-step explanation:

f(x) = 4x-9

f(x)= 4x-9

x x

f=4x-9

Other Questions

Suppose that the pdf of X conditional on O is Sxyo (x10) 20 where the random parameter o has an inverted gamma distribution with n degrees of freedom and parameter 1. Derive the pdf of X. (5) QUESTION 7 [5] The generalised gamma distribution with parameters a, b, a and m has pdf 8x(x) = Cra-le-bx (a + x)" x > 0 where C-+ = 1x4-14-hr (a + 1)*** dx (a) For b = 0 find the pdf of x. (b) For m=0 find the pdf of X. Use the method of undetermined coefficients to find one solution ofy''+4y'-3y=(4x^2+0x-4)e^{2x}.Note: The method finds a specific solution, not the general one. Do not include the complementary solution in your answer. Which phrase from this detailed sentence includes an aside that reveals the writer's perspective? (5 points)"It was raining hard when I awoke""glad to know it was fresh and clean""ate biscuits and a piece of dried salmon""without attempting to make a tea fire""plunged once more into the dripping jungle" An auditorium is designed to seat 4500 people. The ventilation rate is 60 CFM/person of outside air. The outside temperature is 0F dry-bulb and the outside pressure is 14.6 psia. Air leaves the auditorium at 70F dry-bulb. There is no recirculation. The furnace has a capacity of 1,250,000 BTU/hr. At what temperature should the air enter the auditorium? (The sensible heat generated by each person seated in the auditorium is 225 BTU/hr; the specific heat of air is 0.24 BTU/lbmF) Given 1 = 78.2 and = O= 2.13, the datum 75.4 has z-score O a) 0.62 b) -1.31 c) -0.62 d) 1.31 A flat, circular, steel loop of radius 75 cm is at rest in a uniform magnetic field, as shown in an edge-on view in the figure (Figure 1). The field is changing with time, according to B(t)=(1.4T)e^(0.057s^1)t.a) Find the emf induced in the loop as a function of time (assume t is in seconds).b) When is the induced emf equal to 110 of its initial value?c) Find the direction of the current induced in the loop, as viewed from above the loop. 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PLEASE HELP ME OUT! QUICK POINTS FOR YOU! All information needed can be found in the image below Thank you in advance.

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PLEASE HELP ME OUT! QUICK POINTS FOR YOU!

All information needed can be found in the image below
Thank you in advance.