The volume of a cube decreases at a rate of 0.3 ft3/min. What is the rate of change of the side length when the side lengths are 9 ft?

Answers

Answer 1

Step-by-step explanation:

side = 9 ft

the volume of a cube is

V = side³

if V decreases by a to V', then each side decreases by side - cubic root of V'.

V = 9³ = 729 ft³

V' = (729 - 0.3) ft³ = 728.7 ft³

side' = cubic root (728.7) = 8.998765263... ft

difference side - side' = 0.001234737... ft

so, the change rate at 9 ft is

0.001234737... ft/min.


Related Questions

How many degrees are there in 5/8 of a circle

Answers

Answer:

Step-by-step explanation:

First the max degree is 360

Then multiply by 5/8

360 x 5/8 = 1800/8

1800/8 = 225

Answer: 225

5 times an unknown quantity x, minus 1 equals 3 times the same unknown quantity x, plus 9.

Answers

Answer:

ig thats the ans

Step-by-step explanation:

5 x x -1 =x3+9

Answer:

5x - 1 = 3x +9

and x = 5

Answer with Step-by-step explanation:

5x - 1 = 3x +9

If u need the solution

5x - 1 = 3x +9

5x-3x = 9+1

2x = 10  ; x = 10/2=5

I hope im right!!

The heights of American men are normally distributed. If a random sample of American men is taken and the confidence interval is (66.2,74.6), what is the sample mean x¯? Give just a number for your answer. For example, if you found that the sample mean was 12, you would enter 12.

Answers

The sample mean x¯ is 70.4.

The sample mean, denoted as x¯, can be obtained directly from the midpoint of the confidence interval.

In this case, the confidence interval given is (66.2, 74.6).

To find the sample mean, we take the average of the lower and upper bounds of the confidence interval:

x¯ = (lower bound + upper bound) / 2

Substituting the given values, we have:

x¯ = (66.2 + 74.6) / 2

Calculating the expression, we find:

x¯ = 140.8 / 2

Simplifying, we get:

x¯ = 70.4

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Which inequality is equivalent to the given inequality? -4(x+7)< 3(x-2)

Answers

An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)

To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.

Let's simplify the given inequality step by step:

\(-4(x + 7) < 3(x - 2)\)

Expanding both sides:

\(-4x - 28 < 3x - 6\)

Grouping like terms:

\(-4x - 3x < -6 + 28\)

Simplifying:

\(-7x < 22\)

To maintain the direction of the inequality, we need to multiply both sides by -1.

However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.

Therefore, we need to flip the inequality sign:

\(7x > -22\)

Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is

\(7x > -22.\)

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21. Write the equation of the line (in point-slope form) passing through the points (2,7) and (-1,8).​

21. Write the equation of the line (in point-slope form) passing through the points (2,7) and (-1,8).

Answers

The equation of the line (in point-slope form) passing through the points (2,7) and (-1,8) is y - 7 = -1/3(x - 2).

What is the point-slope form?

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

m represents the slope.x and y are the points.

At point (2, 7), an equation of this line can be calculated by using the point-slope form:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 7 = (8 - 7)/(-1 - 2)(x - 2)

y - 7 = -1/3(x - 2).

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Find the value of this expression if x = 3. x ^2 -1/ x+ 1

Answers

x^2-1/x+1

3^2-1/3+1

3x3=9 -1 = 8

3+1=4

8/4=2

Plz help me fastttt it surface area of a rectangular prism

Plz help me fastttt it surface area of a rectangular prism

Answers

Answer:

72.2 square meter

Step-by-step explanation:

(3.8)(3.8)= 14.44

(14.44)(5)=72.2

i give BRANLILST

Lorenzo took a total of 14 quizzes over the course of 2 weeks. How many weeks of school will Lorenzo have to attend this quarter before he will have taken a total of 70 quizzes? Assume the relationship is directly proportional.

Answers

Answer

10 weeks

Explanation

he takes 7 quizzes every week. divide 70 by 7 and you get 10 weeks

hope this helps!!

Valerie and Bret have a total of 21 dog show ribbons. Bret has twice as many ribbons as Valerie. How many ribbons does each have? Plz help

Answers

Answer11

Step-by-step explanation:

Carla is following a recipe that calls for a cinnamon-sugar mixture that is 5% cinnamon.

If she places 2 grams of cinnamon in a bowl, which equation will help her find how many grams of sugar to add to the bowl?

Answers

Answer:

Step-by-step explanation:

It's a proportion rather than an equation that you might be more accustomed to.

2/0.05 = x/ 0.95       Cross multiply

2 * 0.95 = x * 0.05    Divide by 0.05

2 * 0.95/0.05 = x

x = 38 grams of sugar should be added to the 2 grams of cinnamon.

There's another way to do it.

2/0.05 = (x + 2)/1      Cross multiply

2*1 = 0.05x + 0.1       Subtract 0.1 from both sides

1.9 = 0.05x

1.9/0.05 = x

x = 38

Which ever way you understand better is the answer. 100 / 100% is 1

Two triangles each have angles that measure 40° and 37° and a 5 cm side between those two angles are the two triangles congruent?

Answers

Yes they are congruent since both have the same side angles and 5 cm side.

What is the least common denominator of 11/14 and 11/15

Answers

Answer:

210

Step-by-step explanation:

210 is the least common multiple of 14 and 15

(6) Antonio compares his plan to another friend, Brielle’s . Given that both Antonio and Brielle will only be charged for full minutes, is there an amount of time when their two plans cost the same? Explain. Brielle's plan: Monthly cost = 2(1.50m+12)+m-4 where m is the number of minutes used

Answers

We have to compare the plan of calls for both friends

Brielle's plan is 2 ( 1.50 m +12) + m - 4

Antonio's plan is

Please help if you can

Please help if you can

Answers

1) The lower limit of the confidence Interval is: 1489.77.

The upper limit of the confidence Interval is: 1530.23

2) The lower limit of the confidence Interval is: 1478.32

The upper limit of the confidence Interval is: 15411.68

How to find the confidence Interval?

The formula to find the confidence interval is:

CI = x' ± z(σ/√n)

where:

CI is confidence interval

x' is sample mean

z is z-score at confidence level

σ is standard deviation

n is sample size

1) The parameters are:

σ = $234

x' = $1510

n = 362

z at 90% CL = 1.645

Thus:

CI = 1510 ± 1.645((234/√362)

CI = 1510 ± 20.23

CI = (1489.77, 1530.23)

2) The parameters are:

σ = $234

x' = $1510

n = 362

z at 99% CL = 2.576

Thus:

CI = 1510 ± 2.576((234/√362)

CI = 1510 ± 31.68

CI = (1478.32, 15411.68)

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86n + 13 ≤ 99 or n + 90 ≥ 97

Does anybody know the answer?

Answers

Answer:

n ≤ 1 or n ≥ 7

Step-by-step explanation:

solve each part separately

86n + 13 ≤ 99 ( subtract 13 from both sides )

86n ≤ 86 ( divide both sides by 86 )

n ≤ 1

n + 90 ≥ 97 ( subtract 90 from both sides )

n ≥ 7

solution is n ≤ 1 or n ≥ 7

The standard deviation of samples from supplier A is 0.4582, while the standard deviation of samples from supplier B is 0.3358. Which supplier would you be likely to choose based on these data and why

Answers

Complete Question

The standard deviation of samples from supplier A is 0.4582, while the standard deviation of samples from supplier B is 0.3358. Which supplier would you be likely to choose based on these data and why?

1 Supplier A, as their standard deviation is higher and, thus easier to fit into our production line

2 Supplier B, as their standard deviation is higher and, thus, easier to fit into our production line

3 supplier B, as their standard deviation is lower and, thus, easier to fit into our production line

4 Supplier A, as their standard deviation is lower and, thus, easier to fit into our production line

Answer:

Option 3 is  correct

Step-by-step explanation:

From the question we are told that

     The  standard deviation of A is  \(\sigma_a = 0.4582\)

      The  standard deviation of B is  \(\sigma _b = 0.3358\)

Generally standard deviation defines the deviation element of a data set with respect to the mean of the set

So sample  it mean that samples from A deviates more from it mean(the standard value) than the samples from B so the best supplier to chose is B

Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.

Answers

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

6. 53 x 63
Use to partial products

Answers

Answer:

411.39

Step-by-step explanation:

6.53 x 63 = 411.39

solve the equation. y/8 = 5
y=?

Answers

Answer:

y = 40

Step-by-step explanation:


y/8 = 5

———————————————————

Multiply both sides by 8:

8y/8 = 5 * 8

———————————————————

Simplify:

y = 40


Hope that helps! :)

Answer:

Y = 40

Step-by-step explanation:

Step 1:

y/8 = 5

Bring 8 to the right side changing its arithmetic sign to multiply.

Step 2:

y = 5 x 8

Now multiply 5 by 8 to get the answer.

Step 3:

y = 40

Therefore, y is equal to 40.

Dominique from "Dominique's Pizza" bakes p pizzas every day. Currently, it costs her $8 dollar sign, 8 per day to use the oven and $1.50 per pizza for the ingredients

Tomorrow, the price for the ingredients will increase from $1.50 per pizza to $2 per pizza. The oven costs will stay the same at $8 per day.

Dominique did some calculations and found that she should bake 8 more pizzas each day in order for the total expenses per pizza (including ingredient and shared oven costs) to remain the same.

Write an equation in terms of p to model the situation.

Answers

The equation in term of p that models the above experience is:
2p + 10 = 0.8p + 20.

What is an equation?

Any statement that models or captures the factors of a problem where in an equal sign is present to equate two of the factors or expressions therein is called an equation.

How do we form the above equation?

Everyday pizza production is equal to p.Brick oven use fees are $10 per day.Ingredients for brick oven pizza cost $2 per pizza.$20 a day is the cost of using an electric oven.Pizzas baked in an electric oven cost $0.8 per pizza in ingredients.If an electric oven is used, the total cost of making a pizza falls by $1, including the cost of the ingredients.

Total cost of baking p pizzas with brick oven = A =  p(cost of one pizza) + cost of baking = p(2) + 10 (in dollars).

Total cost of  baking p pizzas with electric oven = B =  p(cost of one pizza) + cost of baking = p(0.8) + 20 (in dollars).

B = A - 1 (as using electric oven saves $1 per day, as given)

Thus, we get:

2p + 10 = 0.8p + 20

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Ms. Keenan is a high school teacher who wants to know how much time students spend studying each day. She finds that the average student spends 3.00 hours a day studying (s - 0.75). Assuming that studying hours is normally distributed, what percentage of students study less than 2.50 hours a day?
© 25.14 percent
© 19.15 percent
© 10.93 percent
© 24.86 percent

Answers

The requried, percentage of students who study less than 2.50 hours a day is approximately 25.14 percent.

What is the Z -a score?

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

We need to convert 2.50 hours to a standard score (z-score) using the formula,

z = (x - μ) / σ

where x is the value we want to convert, μ is the mean, and σ is the standard deviation.

z = (2.50 - 3.00) / 0.75

z = -0.67

This means that 2.50 hours is 0.67 standard deviations below the mean.

We can use a standard normal distribution table or a calculator to find the percentage of the distribution that falls below this standard score. For example, using a standard normal distribution table, we can look up the area to the left of z = -0.67 and get:

P(z < -0.67) = 0.2514

So the correct answer is (a) 25.14 percent.

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What is the answer to this whoever answers gets 17 points

What is the answer to this whoever answers gets 17 points

Answers

Answer:94.2

Step-by-step explanation: i think

A
X
Find the value of x.
D
X+2
x = [?]
B
3
E
2
C

AXFind the value of x.DX+2x = [?]B3E2C

Answers

Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Maureen has a Jump rope that is 62 inches long nancys jump rope is 10 inches longer how long is nancys jump rope?

Answers

Nancy's jump rope is 72 inches long.

Answer: 6 feet long

Step-by-step explanation:

1ft. = 12 in

62 inches = 5 feet and 2 inches

Break down 62 into 60 and 2

60 divided by 12 = 5 (12x5=60)

60in. = 5ft.

2in. = 2in.

5ft. and 2in.

10in.= 10in.

Add the inches

10in. + 2 in. = 12 in.

12in.= 1ft.

5ft. + 1ft. = 6ft.

Answer: Nancy’s rope is 6ft. long

Need help please with answer 164+(100-9÷9-5×10)=

Answers

Answer:

213

Step-by-step explanation:

=164+(100-1-5x10)

=164+(100-1-50)

=164+(100-51)

=164+49

=213

√2x² + 7x + 5√2 = 0
find the roots of the following quadratic equation by factorization method



PLS HELP ME FAST

Answers

Step-by-step explanation:

√2x² + 7x +√2=0

2x + 7x + √ 2 =0

√2=9x

x = o.15713484

Convert 4
3
5
cups to pints.
2 cups = 1 pint PLEASE HELP!

Answers

Answer:

4 cups=2 pint

3 cups=1.5 pint

5 cups=2.5 pints

Step-by-step explanation:

Because there are 2 cups in each pint, we can divide the number of cups by two to get the number of pints.

4/2=2

3/2=1.5

5/2=2.5

Let me know if you have any questions!

The heaviest load that an elevator can safely carry is 1,500 pounds. Gregg who weighs 155 pounds, is going to take boxes of supplies weighing 17 pounds each with him in the elevator. How many boxes of supplies can Gregg safely take with him on the elevator at one time?

Answers

Answer:

79 boxes

Step-by-step explanation:

1500-155= 1345

1345/17=79.11

William leaves his home at 15:03 and walks for 12 minutes to Euston station.
He spends 4 minutes buying a ticket and then catches the next train to Bletchley.
What time will he arrive at Bletchley?
Train timetable
Euston
14:49 15:18 15:29
14:52
15:32 15:35
Harrow
Watford 15:01
15:30
15:41 15:44 16:11
Hemel
15:39 15:50
15:53
16:20
Tring
15:31
16:00
Q
16:14 16:41
Bletchley 15:47
16:16
16:30
Bedford 15:54 16:23 16:34 16:37 17:04
15:32 15:59

Answers

William catches the train from Euston station to Bletchley. According to the timetable, the next train from Euston to Bletchley departs at 15:32. William spends 4 minutes buying a ticket, so he will board the train at 15:36.

To find out what time he will arrive at Bletchley, we need to look at the arrival time for the train that departs Euston at 15:32. According to the timetable, this train arrives at Bletchley at 16:16.

William spends 12 minutes walking to Euston station and 4 minutes buying a ticket, so his total journey time is 12 + 4 + 44 = 60 minutes (since there are 60 minutes in an hour). Therefore, he will arrive at Bletchley at 16:16 + 60 minutes = 17:16.

So, William will arrive at Bletchley at 17:16.

*Answer*

15:47

Step-by-step explanation:

He left; 15:03

Walk for; 12mins

Spends extra;4min

So by my side,

I'll sum up those values we're having to find the total time that was spent

12+4= 16mins

So, at that time when he reached at the station it was 15:19 when we add those extra mins

And so I think it'll 15:47

My thought told me so though

Find the 52nd term of the sequence
3,7,11,15

Answers

Answer: 3,7,11,15

Step-by-step explanation: Not the right explanation and answer.

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