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


Related Questions

At a construction job for a mall there are 40 painters. Of these painters, 34 of them are painting the interior of the mall. What percent of these painters are painting the interior

Answers

Answer:

85%

Step-by-step explanation:

34/40 = 0.85 = 85%

A baby weighed 7.25 lb at birth. At the end of 8 months, the baby weighed 2.5 times its birth weight. How many pounds did the baby weigh at the end of 8 months?

Answers

Answer: 18.125 lbs

Explanation: The baby weighed 18.125 pounds at the end of eight months.

The baby weighed 7.25 lbs at birth. Eight months later, he weighed 2.5 or 2½ times its birth weight. Multiply 7.25 by 2.5  (which equals 18.125).

So now eight months later, he's 18.125 pounds.

7.25 x 2.5 = how much baby weighed= 18.125

If (8, 3) is rotated 90o about the origin the new point would be:

A.
(3, -8)

B.
(-8, 3)

C.
(-3, 8)

D.
(8, -3)

Answers

Answer:

A.

(3, -8)

Step-by-step explanation:

Answer:

C is the answer

Step-by-step explanation:

The rule is that(x,y)-->(-y,x) so therefore making it c

An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use α=α= .05.
Method 1 Method 2
Roller Coaster41434951
Type of RideScreaming Demon 52445046
Log Flume50464844
Method 1 Method 2
Roller Coaster
41
43
49
51
Type of Ride
Screaming Demon
52
44
50
46
​Log Flume
50
46
48
44

Answers

Answer:

hello your question has some missing part and the table as it relates better to the question

set up the ANOVA table ( to 1 decimal if necessary )

Step-by-step explanation:

attached below is the image of the Analysis of variance using Minitab software

Attached below as well is the Require Anova table

Which is the best estimate of the product of 0.39 x 0.49?

0
0.25
0.5
1

Answer fast!! :c

Answers

Answer:

0.25 or b is the correct answer

On interval 0 ≤ x < 2π, where are the x-intercepts of y = cos(2x)?
A. pi/2 and 3pi/2
B. 0, pi, and 2pi
C.pi/2, pi, and 3pi/2
D.pi/2, 3pi/4, 5pi/4, and 7pi/4

Answers

Answer:

Choice D:

π/2, 3π/4, 5π/4, and 7π/4

Step-by-step explanation:

correct on edg

The solution of the equation y = cos(2x) will be π/4, 3π/2, 5π/4, and 7π/4. Then the correct option is D.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

y = cos(2x)

The x-intercept of the equation in the interval 0 ≤ x < 2π will be given as,

y = 0

cos(2x) = 0

cos 2x = cos (n + 1) π/2

2x = (n + 1)π / 2

x = (n + 1)π / 4

x = π/4, 3π/2, 5π/4, 7π/4

The solution of the equation y = cos(2x) will be π/4, 3π/2, 5π/4, and 7π/4. Then the correct option is D.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Joseph read 9 books in 15 months. What was his rate of reading in books per month?

Answers

Answer: 0.6 books

Step-by-step explanation: Divide 9 by 15 to get 0.6 books a month.

( I think) I’ve done this before , this certain question.

The ruler is marked at every 1/16 inch. Do the labeled measurements convert to repeating or terminating decimals?

Answers

Answer:

Terminating

Step-by-step explanation:

1/16=0.0625, 1/8=0.125, 1/4=0.25, 1/2=0.5; which are all terminating.

4/7+2/3=??

Please explain to :)

Answers

Answer: 1 5/21

Step-by-step explanation: change 4/7 into 12/21 and 2/3 into 14/21. Now that you have a common denominator, add the numerators. 26/21. Simplify into 1 5/21

find the mean of the data 5,5,8 set

Answers

Answer:

the mean is 6

Step-by-step explanation:

5+5+8= 18

then divide 18 by 3 bc there is 3 numbers and u get 6

hope this helps

Serena charges $6.50 an hour to walk dogs. She worked 5 hours last week and 9.5 hours this week. How much did she make altogether in the last two weeks?

Answers

Answer:

She made 91 dollars

Step-by-step explanation:

6.50 times 5 = 32.5

6.50 times 9 =58.5

58.5+32.5=91

Answer:

Your answer is $91.00.

Step-by-step explanation:

6.50 * 5 = 32.5

6.50 * 9 = 58.5

             =  91

Hope this helps!

What is 60 percent of 92?
O 1.53
0 5.52
O 15.3
0 55.2

Answers

60 percent of 92 is 55.2 after applying the concept of the percentage, option (D) 55.2 is correct.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

60 percent of 92

Let x be the 60 percent of the 92

x = 60 % of 92

x = (60/100)92

x = 55.2

Thus, 60 percent of 92 is 55.2 after applying the concept of the percentage, option (D) 55.2 is correct.

Learn more about the percentage here:

brainly.com/question/8011401

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Hye Lim drank 4/3 gallons of water in 11/2 hours. At this rate, how long will it take her to drink 4 gallons of water?

Answers

Answer:

16.5 hours

Step-by-step explanation:

Here is the explanation. As Hye drinks 4/3 gallons of water in 11/2 hours, we have a constant rate. There are 12 thirds in 4, so we are trying to find how long it takes Hye to drink 12/3 gallon. In this case, 4/3x3=12/3, so we multiply 11/2 by 3 as well, which gives us 33/2 hours. 33/2 in decimal form is 16.5 hours. Hope it helps!

Answer:

33/2 hours option 2

Step-by-step explanation:

Got it correct on edge :) hope it helps

how many letters is supercalifragilisticexpialidocious i will give brainlist also give goog explination why i sholud give it to you

Answers

Answer:

Supercalifragilisticexpialidocious is 34 letters long.

Step-by-step explanation:

I see you like Fortnite by your profile picture, I play as well. I'm an OG, I have Black Knight. That's why I think you should give it to me.

еthaȵ is my Epic if you ever want to play.

Which type of line of symmetry does the figure have?

Answers

Answer:vertical

Step-by-step explanation:

8/12 the equibalent fraction

Answers

Answer:

An equivalent fraction for 8/12 could be 2/3

Step-by-step explanation:

It could be 2/3 because I divided 8 by 2 which is 4 and 12 by 2 which is 6 and the answer for that is 4/6 as a fraction, now notice how we could still divide the number by 2, so 4 divided by 2 is 2 and 6 divided by 2 is 3. So the answer as a fraction would be 2/3.

-Hope this helps

An equivalent fraction of 8/12 could be 2/3

does 9.03 + 10.71 – 6.8 =13.94

Answers

Answer:

No

Step-by-step explanation:

Let's break this down...

9.03+10.71 is 19.74 and subtracted by 6.8 it will be 12.94 not 13.94 so it is not correct

So the answer is No

Hope this helps!

Answer:

No, it is 12.94

Step-by-step explanation:

9.03 + 10.71 = 19.74, 19.74 - 6.8 = 12.94

In a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1.

Find two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe.

(SELECT TWO)

Answers

Answer:

If this is a multiple-choice, then you just have to pick the choices that are 3:1, but multiplied, like 6:2, 9:3, etc.

Write equation given linear situation

After a baby was born, he began to gain weight at a rate of 1.5 pounds per month. The
weight of the baby at birth was 10 pounds. Write an equation for W, in terms of t,
representing weight, in pounds, of the newborn baby t months after birth.

Answers

Answer:

W=1.5x+10

Step-by-step explanation:

1.5x is the rate of weight per month

10 is the constant (how much he/she weighed at birth)

W = 1.5(T) + 10 I hope this helps

After three plays in which a football team lost 7 yd, gained 3 yd, and
lost 1 yd, respectively, the ball was placed on the team’s own 30-yd line.
Where was the ball before the three plays?

Answers

Answer:

25 Yard line was the previous location.

Step-by-step explanation:

-7+3-1= -8+3= -5

30-5=25.

what's -7 / 8 × 6 / 9 ​

Answers

Answer:

-7/12

Step-by-step explanation:

What is the solution to g-8= -24?

Answers

Answer:

g=16

Step-by-step explanation:

Answer:

g=-16

Step-by-step explanation:

Prove the following

please help

Answers

Step-by-step explanation:

5. I assume you mean this:

(cos²x / sin x) + sin x

Add using common denominator.

(cos²x / sin x) + (sin²x / sin x)

(cos²x + sin²x) / sin x

Use Pythagorean identity.

1 / sin x

csc x

6. tan²x cos²x

Write tangent in terms of sine and cosine.

(sin²x / cos²x) cos²x

Simplify.

sin²x

Use Pythagorean identity.

1 − cos²x

When a standard pair of six sided dice are rolled, what is the probability of getting a 6?
(Express your answer as a decimal rounded to the thousandsth place.)

Answers

Answer:

0.5 because it has a total of 6 sides

Probability of getting a 6 is equal to
1 - the probability of not getting a six.
The probability of not getting a six on a single roll is 5/6. The probability of not getting a 6 for 2 rolls is (5/6)^2.
The probability of getting a six is

1 - (5/6)^2 = 11/36.

2.72981366 rounded to nearest hundredth

Answers

Answer:

I would say 2.73 or 2.72 l can never remember which it is

Step-by-step explanation:

Sorry if it’s wrong!!!

Answer:

2.73

Step-by-step explanation:

The sequence of transformations R0,90 r x-axis is applied to XYZ to produce X’’ Y’’ Z’’. If the coordinates of Y’’ are (3,0),what are the coordinates of Y?

Answers

Answer:

Y = (0, 3)

Step-by-step explanation:

Notice that the first the transformation is a rotation of 90 degrees around the origin, and then a reflection around the x axis.

If a reflection around the x axis resulted in (3, 0)  that means the point was already on the x axis.

Then in order for a rotation in 90 degrees to take the point Y to (3, 0), Y must have been on the y-axis as (0, 3)

Answer:

Y = (0, 3)

Step-by-step explanation:

If he drank 80% of his water on his entire hike, how much did he drink?

Answers

Not enough information is given to answer this question. If there was 100% water at the beginning of the hike and now there is 80% it would be 20% but without the information, you cant know.

The purpose of this warm-up is to elicit the idea that tape diagrams can be used to think about fractions of a whole as percentages of the whole, which will be useful when students interpret and draw tape diagrams in a later activity. While students may notice and wonder many things about these images, the important discussion points are that there are two rectangles of the same length, one of the rectangles is divided into four pieces of equal length, and a percentage is indicated. 80 percent of what number is 100?
100 is 80% of 125

Steps to solve "100 is 80 percent of what number?"

We have, 80% × x = 100
or,
80
100
× x = 100
Multiplying both sides by 100 and dividing both sides by 80,
we have x = 100 ×
100
80
x = 125
If you are using a calculator, simply enter 100×100÷80, which will give you the answer.

Find the unit rate. Round to the nearest hundredth, if necessary.
$1.99 for 12 lb
The unit rate is $

Answers

Answer:

Convert to a decimal by dividing the numerator by the denominator.

0.17

dollars per pound

Step-by-step explanation:

Convert to a decimal by dividing the numerator by the denominator.

0.16583 (keep adding 3 at the end)

0.17 dollars per pound

In an office building, 42 offices are currently being rented. This represents 40% of the total units. How many offices are in the building?

Answers

Answer:As per problem, 60% units constitute 72 offices. Let total number of units be x.

Hence, 0.6x = 72

or, x = 72/0.6 = 720/6 = 120

HTH

Step-by-step explanation:

The ratio of children to teachers at a preschool is 14:5. How many children are at the preschool if there are 30 teachers?

Answers

Answer:

14          30

-----  =  ------

5

cross multiple 30(5)=150

divide 150/14= 10.7142857

idk if they want you to round but

11 or

10.7

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