Please include an explanation.


"a" varies directly as the square of "b" and inversely as the cube of "c". If a=171 when b=8 and c=9, find a if b=9 and c=6. Round your answer to two decimal places if necessary.

Answers

Answer 1

Answer:

a = 730.43

Step-by-step explanation:

The formula for this type of problem is [ a = kb²/c³ ].

We are given a = 171, b = 8 and c = 9.

Solve for k.

171 = k(8)²/(9)³

k = 1947.80

Solve for a since we found k using b = 9 and c = 6.

a = (1947.80)(9)²/6³

a = 730.425

Round to the nearest hundredth.

730.425 → 730.43

Best of Luck!

Answer 2

Answer:

730.42

Step-by-step explanation:

a varies directly with the square of b, and inversely with the cube of c.  Therefore:

a = k b² / c³

where k is the constant of proportionality.

a = 171 when b = 8 and c = 9.  So the value of k is:

171 = k (8)² / (9)³

k ≈ 1947.8

So the value of a when b = 9 and c = 6 is:

a = 1947.8 (9)² / (6)³

a ≈ 730.42


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Your parents love coffee . They purchased a bag of coffee online for 10.99. Since they purchased it online . They received 18% off . What was the sale price

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What is the value of the rational expression below when xis equal to 4?

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Answer:

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Step-by-step explanation:

The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;

The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;

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Answer:

4

Step-by-step explanation:

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(3,-1)
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Answers

Answer:

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Step-by-step explanation:

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Answer: uhhhhhh pass

Step-by-step explanation:

The perimeter of a rectangular garden is 40 it. The length is 2 ft more than the width. Find the length and the width of the garden.

Answers

Answer: Length = 11

              Width = 9

Step-by-step explanation:

Let x represent the unknown length.

Let x - 2 represent the unknown width.

The perimeter is equal to 2 times x + (x -2)

Equation:

2 (x + (x - 2)) = 40

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x + x - 2 = 20

2x - 2 = 20

2x -2 + 2 = 20 + 2

The length is: 2x = 22 -> x = 22/2 -> x = 11

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Will mark brainliest

Answers

Answer: The third option

y = -6 + 2√6 ÷ 5    and   y = -6 - 2√6 ÷ 5

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The answer should be 3

If someone helps, contact me, and I'll give you 80 points or more if you would like.
Determine which statement is true from the information given. diet sodas = 3 regular sodas = 7

For every 3 regular sodas sold there are 7 diet sodas sold
The ratio of diet sodas to regular sodas sold is 7 : 3
The ratio of regular sodas to diet sodas sold is 7 : 3
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Answers

Answer:

Step-by-step explanation:

d = 3, r = 7

3r = 7d    3(7) = 7(3)    21 = 21    true

d/r = 7/3    3/7 ≠ 7/3    false

r/d = 7/3    7/3 = 7/3    true

7d = 3r    7(3) = 3(7)    21 = 21    true

3 of these statements are true, are you sure you got the question written down correctly?

Solve for X
2x + 4 = 10

Answers

Answer:

x = 3

Step-by-step explanation:

2x+4 = 10

2x = 6

x = 3

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Answers

Answer:

Step-by-step explanation:

Formula: Area=(a+b)/2 * h

72=(16+8)/2*h

72=24/2*h

72=12*h

h=72/12

h=6

It will be nice if you give me brainlies.Good luck!

Evaluate the expression for a = 4, b = 5, and c = −4. 17 − 7(a − b)2 =

Answers

17 -7 ( 4 - 5 ) square = 17 -7 ( 1) = 17 - 7 ×1 = 17 -7 = 10 is the answer.

2% of what number is 5?
A. 0.1
B. 1
C. 250

Answers

Answer:

a

Step-by-step explanation:

5(.02)

A I’m pretty sure but not 100%

combine like terms to simplify

1.17 - .07a + (-3.92a)

Answers

Answer:

1.17+3.85

Step-by-step explanation:

1.17-(-3.85a)

Mason prepared 12 kilograms of dough after working 3 hours. How many hours did Mason
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Answers

6 hours 12 divided by 3 is four pulse 6 is 20

PLEASE HELP!!! Mates spent $15.00 on protein bars and sports drinks. each bar cost $3.00 and each sports drink cost $1.50. which equation represents the number of protein bars, p, and the number of sports drinks, s, Matea could have bought

Answers

Answer:

15=3s+1.5p

Step-by-step explanation:

can i please get brainliest?

Answer:

15=3s+1.5p

Step-by-step explanation:

15(total money spent)

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Mr. Ortiz is a driving instructor. Of his students, 23 have taken the driver's test and 17 of them have passed
on the first attempt. Mr. Ortiz earns a $300 bonus if 80% of his students pass the test on the first attempt.
How many consecutive students must pass on the first attempt in order for Mr. Ortiz to earn the bonus

Answers

Answer:7

Step-by-step explanation:

What is the range of the function f(x) = 2x+3

Answers

Answer: (-∞,∞)

Step-by-step explanation: The line extends forever in both directions meaning that the endpoints will be negative infinity and infinity.

Red has already lost three iphones.He didn't spend a lot of money on his newest cellphone because he knows he will eventually lose that one too.Is it deductive or inductive reasoning?​

Answers

Answer:

deductive reasoning

Step-by-step explanation:

Compute the estimated regression's prediction for the average score of students given 98, 129, or 159 minutes to complete the exam.
Given 98 minutes, the estimated regression's prediction for the average score of students is 91.94 .
Given 129 minutes, the estimated regression's prediction for the average score of students is 108.37
Given 159 minutes, the estimated regression's prediction for the average score of students is 124.27 (Round your responses to two decimal places.)
Compute the estimated gain in score for a student who is given an additional 32 minutes on the exam.
The estimated gain in score for a student who is given an additional 32 minutes on the exam is (Round your response to two decimal places.)

Answers

Answer:

The estimated gain in score for a student who is given an additional 32 minutes on the exam is 16.96

Step-by-step explanation:

The estimated regression prediction is given by:

[tex]\hat{y}=40+0.53x[/tex]

Where x denotes the time

y denotes the average score

A)

Substitute x = 98

[tex]\hat{y}=40+0.53(98) = 91.94[/tex]

B)

Substitute x = 129

[tex]\hat{y}=40+0.53(129) = 108.37[/tex]

C)

Substitute x = 159

[tex]\hat{y}=40+0.53(159) = 124.27[/tex]

D)the estimated gain in score for a student who is given an additional 32 minutes on the exam.

[tex]\hat{y}=40+0.53(x+32)=40+0.53x+9.57=y+16.96[/tex]

So, the estimated gain in score for a student who is given an additional 32 minutes on the exam is 16.96

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14( 1/7• 2/5)

Answers

Step-by-step explanation:

Associative property is a(bc)=(ab)c

14(1/7 * 2/5) = (14* 1/7) 2/5 = 2* 2/5 = 4/5

Answer: (14 x 1/7) 2/5

Step-by-step explanation: yes.

A ball is dropped from a height of 100 cm. The rebound heights to the nearest centimeter are 60, 36, 22, .... What is the total distance the ball will travel both up an down?

Answers

Answer:

400 cm

Step-by-step explanation:

Given that:

Initial height at which ball was dropped = 100m

Rebound heights to the nearest cm = 60, 36, 22...

First we find the rebound percentage x;

x% * 100m = 60

100x % = 60

x = 60%

Hemce, we need to calculate the rebound velocities which aren't given:

0.6 * 22 = 13.2 = 13cm

0.6 * 13 = 7.8 = 8cm

0.6 * 8 = 4.8 = 5cm

0.6 * 5 = 3cm

0. 6 * 3 = 1.8 = 2 cm

0.6 * 2 = 1.2 = 1cm

The total distance the ball travels UP and DOWN :

(100 + 2(60) + 2(36) + 2(22) + 2(13) + 2(8) + 2(5) + 2(3) + 2(2) + 2(1))

= 400 cm

A national standard requires that public bridges over feet in length must be inspected and rated every 2 years. The rating scale ranges from 0​ (poorest rating) to 9​ (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the year​ 2020, the engineers forecast that ​% of all major bridges in that city will have ratings of 4 or below. Complete parts a and b. a. Use the forecast to find the probability that in a random sample of major bridges in the​ city, at least 3 will have an inspection rating of 4 or below in 2020. ​P(x​3) nothing ​(Round to five decimal places as​ needed.)

Answers

Answer:

The answer is below

Step-by-step explanation:

A national standard requires that public bridges over 20 feet in length must be inspected and rated every 2 years. The rating scale ranges from 0​ (poorest rating) to 9​ (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the year​ 2020, the engineers forecast that 4​%of all major bridges in that city will have ratings of 4 or below.

a. Use the forecast to find the probability that in a random sample of major bridges in the​ city, at least 3 will have an inspection rating of 4 or below in 2020.

Answer:

This problem is a probability binomial distribution and it can be solved using the formula:

[tex]P(X=x)=C(n,x)p^xq^{n-x}\\\\q=1-p,C(n,x)=\frac{n!}{x!(n-x)!}[/tex]

Hence the solution to the problem is given as:

P(x ≥ 3) = 1 - P(x < 3) = 1 - [ P(x=0) + P(x=1) + P(x = 2)]

Given that p = 4% = 0.04, q = 1 - p = 1 - 0.04 = 0.96, n = 10. Hence:

[tex]P(x=0)=C(10,0)*0.04^{0}*(0.96)^{10-0}=0.6648\\\\P(x=1)=C(10,1)*0.04^{1}*(0.96)^{10-1}=0.277\\\\P(x=2)=C(10,2)*0.04^{2}*(0.96)^{10-2}=0.0519\\\\P(x\geq 3)=1-[0.6648+0.277+0.0519]=0.0063[/tex]

need help............​

Answers

Answer:

Answer=A

Step-by-step explanation:

(when dividing two powers we subtract the upper power by the bottom one)

[tex]\frac{7^{10} }{7^{3} }[/tex]

=[tex]7^{10-3}[/tex]

[tex]7^{7}[/tex]


Which of the following is the radical expression of?

Answers

Answer:

The third answer

Step-by-step explanation:

Remember power over root and the 2 would not be under the root.

Answer:

the third one

Step-by-step explanation:

A group of 8 people are picking up litter along a 4
5
km length of road. Each person is assigned an equal section of the road. How can you divide 4
5
km among 8 people?


Which expression is equivalent to 4
5
÷ 8?
÷ 8
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Answers

Answer:

Each person picks up litter from a

✔ 1/10

km length of the road.

Which expression is equivalent to  4

5

 ÷ 8?

✔ 8/10

÷ 8

Step-by-step explanation:

identify the coefficients 7p - 3r + 6 - 5s

Answers

Answer:

7, -3, and -5 are coefficients.

Step-by-step explanation:

Answer:

The leading coefficient is 7

1.why.do.we.need.election

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Answers

Answer:

x = -2

Step-by-step explanation:

5X + 17 = 7

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divide 5 both sides

5x = -10  

simplify

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Answers

Answer:

As suggested in the name itself:

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Is this true, sometimes true, or false?

Answers

Answer: Sometimes true

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Answer:

Sometimes true if both angles are 45 degrees

Step-by-step explanation:

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