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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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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

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

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Answers

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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.)
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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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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

x = 3

Step-by-step explanation:

2x+4 = 10

2x = 6

x = 3

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

Answers

Answer:

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Step-by-step explanation:

Answer:

The leading coefficient is 7

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Answers

Answer:

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Step-by-step explanation:

Just took the quiz

Will mark brainliest

Answers

Answer: The third option

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Plz mark brainliest:)

The answer should be 3

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

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Which expression is equivalent to  4

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Step-by-step explanation:

6. In case of short
circuit............current will flow in
that circuit. *​

Answers

Answer:

As suggested in the name itself:

a short circuit makes the circuit 'short' which causes the resistance of the circuit to be close to none

When the resistance is decreased, the amount of current flowing in the circuit increases (ohm's law: R ∝ 1/ I)

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Answers

$9.01
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Who ever answers this I will mark as brainliest

Answers

Answer: uhhhhhh pass

Step-by-step explanation:

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Answers

Answer:

a

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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

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

Answers

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;

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

PLEASE HELP ME

Answer:

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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

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Step-by-step explanation:

Let x represent the unknown length.

Let x - 2 represent the unknown width.

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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:

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5X+17=7

Answers

Answer:

x = -2

Step-by-step explanation:

5X + 17 = 7

subtract 17 each side

5x + 17 - 17 = 7 - 17

divide 5 both sides

5x = -10  

simplify

5x/5 = -10/5

x = -2

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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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

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
For every 7 diet sodas sold there are 3 regular sodas sold

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?

Which expression uses the associative property to make it easier to evaluate
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.

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Answers

To vote for a well suited president to help run for the United States
So we have a president

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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:

If two angles are complementary, then they are equal to eachother.

Is this true, sometimes true, or false?

Answers

Answer: Sometimes true

Step-by-step explanation: Complementary angles are when two angles add up to 90 degrees. This will be true if the angles are both 45 and 45, however, some can be different like 50 and 40.

Answer:

Sometimes true if both angles are 45 degrees

Step-by-step explanation:

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