A spherical balloon is inflated with gas at a rate of 600 cubic centimeters per minute.

(a) Find the rates of change of the radius when r = 50 centimeters and r = 85 centimeters.
r = 50 ? cm/min
r = 85 ? cm/min

(b) Explain why the rate of change of the radius of the sphere is not constant even though dv/dt is constant.

A.) dr/dt as a function runs parallel to the volume function, which is not linear

B.) The rate of change of the radius is a linear relationship whose slope is dV/dt

C.) The rate of change of the radius is a cubic relationship.

D.) The volume only appears constant; it is actually a rational relationship.

E.) dr/dt depends on r2, not simply r.

Answers

Answer 1
C. The rate of change of the radius is a cubic relationship

Related Questions

I promise brainliest and a exter 25 poinst to the first to answer What is the solution to the inequality 2x ≥ -4? Click the number line until the correct answer is shown...

Answers

:

Answer:

the answer is the arrow going to the right because its not a negative number and a closed circle

Step-by-step explanation:

so that means that 2x is at LEASt more than -4 opposed to this sign> wich just means greater than

because when you work with variables you usually cannot find the exact amount especially when you are rounding so you know that its biigger than no less than or at least -4

the answer is the arrow going to the right because its not a negative number and a closed circle

please please mark as brainliest

Which explains why the graph is not a function?

Answers

Answer:

56

Step-by-step explanation:

A laptop has a listed price of $875.98 before tax. If the sales tax rate is 6.5%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
please!

Answers

Answer:

$932.92

Step-by-step explanation:

6.5% = 0.065

(875.98) + (875.98)(0065)

(875.98) + (56.9387)

932.9187

$932.92

Answer:

$[tex]932.92[/tex]

Step-by-step explanation:

[tex]6.5/100=0.65[/tex]

Next, multiply the price by the sales tax.

[tex]875.98*0.65=56.94[/tex]

Then, add.

[tex]875.98+ 56.94=932.92[/tex]

$[tex]932.92[/tex] is the total cost of the laptop.

Which rule describes the translation?
5
B
С
(x, y) - (x - 8, y-3)
O (x, y) — (x - 3, y + 8)
O (x, y) = (x + 8, Y-3)
O(x, y) = (x + 3, y + 8)
B'
A
5
D
A
D
5


Answers

Answer:

look to rule number five

Step-by-step explanation:

Rule Number 5 best explains the answer

Joshua has $4,200 to invest for college. If Joshua invests $4,200 for 3 years and earns $630, what is the simple interest rate? Joshua’s goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of
return of 6%? Explain.

Answers

Answer:

The simple interest rate is 5%.

This is possible with a rate of 6%, since in this case, his amount earned will be $5,208.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

Joshua has $4,200 to invest for college. If Joshua invests $4,200 for 3 years and earns $630, what is the simple interest rate?

We have that [tex]P = 4200, E = 630, t = 3[/tex]. We have to find I.

[tex]E = P*I*t[/tex]

[tex]630 = 4200*I*3[/tex]

[tex]I = \frac{630}{4200*3}[/tex]

[tex]I = 0.05[/tex]

The simple interest rate is 5%.

Joshua’s goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of  return of 6%?

We have to find T when [tex]P = 4200, t = 4, I = 0.06[/tex]

So

[tex]E = P*I*t[/tex]

[tex]E = 4200*0.06*4[/tex]

[tex]E = 1008[/tex]

[tex]T = E + P = 4200 + 1008 = 5208[/tex]

This is possible with a rate of 6%, since in this case, his amount earned will be $5,208.

Jake made a rectangular garden area as shown in the figure. He wants to add 3 inches of topsoil to the entire area.
36 in
15 in
How much topsoil does Jake need to get at the nursery?
540 in.
1,080 in.
1,386 in.
1,620 in.

Answers

Answer:

1,620in

Step-by-step explanation:

LxWxH

36 x 15 x 3 = 1,620 in

Answer:

1620

Step-by-step explanation:

e of Scores, a publication of the Educational Testing Service, the scores on the verbal portion of the GRE have mean 150 points and standard deviation 8.75 points. Assuming that these scores are (approximately) normally distributed, a. obtain and interpret the quartiles. b. find and interpret the 99th percentile.

Answers

Answer:

a) Q1= 144.10

Median = 150

Q3=155.90

b) The 99 percentile would be:[tex]a=150 +2.33*8.75=170.39[/tex]

And represent a value who accumulate 99% of the values below

Step-by-step explanation:

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(150,8.75)[/tex]  

Where [tex]\mu=150[/tex] and [tex]\sigma=8.75[/tex]

Part a

Lets begin with the first quartile:

[tex]P(X>a)=0.75[/tex]   (a)

[tex]P(X<a)=0.25[/tex]   (b)

We can find the quantile in the normal standard distribution and we got z=-0.674.

And we can apply the z score formula and we got:

[tex]z=-0.674<\frac{a-150}{8.75}[/tex]

And if we solve for a we got

[tex]a=150 -0.674*8.75=144.10[/tex]

The median for this case is the mean [tex]Median =150[/tex]

For the third quartile we find the quantile who accumulate 0.75 of the area below and we got z=0.674 and we got:

[tex]a=150 +0.674*8.75=155.90[/tex]

Part b

We can find the quantile in the normal standard distribution who accumulate 0.99 of the area below and we got z=2.33.

And we can apply the z score formula and we got:

[tex]z=2.33<\frac{a-150}{8.75}[/tex]

And if we solve for a we got

[tex]a=150 +2.33*8.75=170.39[/tex]

And represent a value who accumulate 99% of the values below

If ABC ~ DEF what is the scale factor of abc to def

Answers

Answer:

It might be 1/3 but I'm not 100% sure

The required scale factor  of ABC to DEF is 1/3.

Scale factor of ABC to DEF to determine.

What is scale factor?

The scale factor is defined as the ratio of modified change in length to

Here, Triangle ABC is similar to triangle DEF. So, the ratio of the same sides describe the scale factor.
Scale factor = EF/BC
                   = 7/21
                   = 1/3

Thus, the required scale factor  of ABC to DEF is 1/3.

Learn more about Scale factor Here:
https://brainly.com/question/22312172

#SPJ5

Solve the two-step equation.
-9x + 0.4 = 4
Which operation must be performed to move all the constants to the right side of the equation?

Answers

Answer:

x = -0.4

multi-step equation

Step-by-step explanation:

subtract 0.4 from 4 and 0.4 so it cancells out,

0.4 - 0.4 = 0 (cancelled out)

4 - 0.4 = 3.6

then bring down -9x and divide -9 from both sides

-9/-9 = 0 (cancelled out)

3.6 / -9 = -0.4

x = -0.4

Answer:

x = -0.4

Step-by-step explanation:

We have the equation:

-9x + 0.4 = 4

First, the operation to move all the constants to the right side is subtraction since we would have to subtract 0.4 from each side, let's see this:

Now, we have all the constants on the right side of the equation.

Now, the operation we need to perform to isolate the variable is division (since the x has a -9 that is being multiplied by x) we need to do the opposite operation:

Thus, the answer to this equation is x= -0.4

what is the value sin(?)= cos 28

Answers

Answer: 62

Step-by-step explanation:

Using the fact that cos(90-x)=sin(x) we get that 90-x=28, so x=62 and the answer is simply 62.

Hope that helped,

-sirswagger21

In a survey, participants were asked how much confidence they had in the economy.
The results were as follows:



Response Number

A great 3,187
deal

Some
9,120

Hardly 5,149
any



What is the probability that a sampled person has either some confidence or a great
deal of confidence in the economy? Write only a number as your answer. Round to
two decimal places (for example: 0.43). Do not write as a percentage.

Answers

Answer:

0.71

Step-by-step explanation:

Great Deal or Some = 12,307

Total Participants = 17,456

Probability = 12,307/17,456 = 0.71

I will give brainiest to the first to answer. The what
of the following set of data is 5.

13, 7, 9, 5, 2, 3, 5, 4, 10, 12

Answers

Answer:

it is the mode.

Step-by-step explanation:

i. e 5 is the most occuring number in the set of data listed above

What is the answer to this question–1 × –5?

Answers

Answer:

5

Step-by-step explanation:

a minus times by another minus makes a positive, so it is basically 1 x 5

Answer:

5

Step-by-step explanation:

Since the you are multiplying 2 minuses together they will cancel each other out to form a positive number. However if you have an example like this

-6 × 7

Then the answer will be -42 because there is only one negative

Simplify the answer pls

Answers

The answer is 17. Hope that helps

Answer:

[tex]\frac{9}{8}[/tex]

Step-by-step explanation:

27 ÷ 9 = 3

3 * 3 = 9

9 ÷ 8 = [tex]\frac{9}{8}[/tex]

I promise brainieliest for the first to answer What is the solution to the inequality 2x ≥ -4? Click the number line until the correct answer is shown.

Answers

Answer:

x  ≥  -2

Step-by-step explanation:

Divide both sides of the inequality by 2.

2x       ≥   - 4

2x / 2  ≥   -4 / 2

x          ≥   -2

Answer:

the answer is the arrow going to the right because its not a negative number and a closed circle

Step-by-step explanation:

so that means that 2x is at LEASt more than -4 opposed to this sign> wich just means greater than

because when you work with variables you usually cannot find the exact amount especially when you are rounding so you know that its biigger than no less than or at least -4

i need to know £400 in euros and how to convert it

Answers

It’s around 450 euros right now - to figure this out you multiply the number of pounds by the current exchange rate ( which you can look up)

Answer:

449.40 Euro

Step-by-step explanation:

1 pound=1.12 euro

400*1.12=

The graph of g(x) = ax^2 opens downward and is narrower than the graph of f(x) = x^2. Which of the following could be the value of a?

Answers

The value of a should be less than -1.

Equation of parabola,

The equation of a parabola is given by the following function,

[tex]y=f(x)=\pm a(x-h)^2+k[/tex]

where,

(h, k) denotes the coordinates of its vertex,

a defines how narrower is the parabola, and the "-" or "+" that the parabola will open up or down.

Given to us,

[tex]f(x) = x^2[/tex]

[tex]g(x)=ax^2[/tex]

Solution

For the parabola,g(x) to be narrower than the parabola f(x) the value of a should be less than 1. also for the parabola to open downward the value of a is needed to be negative.

Hence, the value of a should be less than -1.

Learn more about Equation of parabola:

https://brainly.com/question/4443998

The area of a circle is 153.86 square meters. What is the diameter of the circle? Use 3.14 for π.

Answers

Answer:

14m

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

153.86 = 3.14 r^2

Divide each side by  3.14

153.86 /3.14 = r^2

49 = r^2

Take the square root of each side

sqrt(49) = sqrt(r^2)

7 = r

We want the diameter which is twice the radius

d = 2r

d =2*7

d =14

Answer:

I just wanted to add on it is 14 i tried it on savaas and it worked

Step-by-step explanation:

What is the slope of the lines 2,8 -6,-8

Answers

Answer:

2

Step-by-step explanation:

Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (2,8) and (-6, -8) .

[tex]m=\frac{-8-8}{-6-2} =\frac{-16}{-8}=2[/tex]

The slope is 2.

The weights of college football players are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds. If a college football player is randomly selected, find the probability that he weighs between 170 and 220 pounds.

Answers

Answer:

[tex]P(170<X<220)=P(\frac{170-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{220-\mu}{\sigma})=P(\frac{170-200}{50}<Z<\frac{220-200}{50})=P(-0.6<z<0.4)[/tex]

And we can find this probability with this difference:

[tex]P(-0.6<z<0.4)=P(z<0.4)-P(z<-0.6)=0.655-0.274= 0.381 [/tex]

Step-by-step explanation:

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(200,50)[/tex]  

Where [tex]\mu=200[/tex] and [tex]\sigma=50[/tex]

We want to find the following probability:

[tex]P(170<X<220)[/tex]

And we can use the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

And using this formula we got:

[tex]P(170<X<220)=P(\frac{170-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{220-\mu}{\sigma})=P(\frac{170-200}{50}<Z<\frac{220-200}{50})=P(-0.6<z<0.4)[/tex]

And we can find this probability with this difference:

[tex]P(-0.6<z<0.4)=P(z<0.4)-P(z<-0.6)=0.655-0.274= 0.381 [/tex]

Any help would be great

Answers

Answer:

2/3

Step-by-step explanation:

[tex]\dfrac{12}{18}= \\\\\\\dfrac{6\times 2}{6\times 3}= \\\\\\\dfrac{2}{3}[/tex]

Hope this helps!

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{12}{18}=\frac{x}{3}[/tex]

[tex]18x=12 \times 3[/tex]

[tex]18x=36[/tex]

[tex]\frac{18x}{18y} =\frac{36}{18}[/tex]

[tex]x=2[/tex]

[tex]=\frac{2}{3}[/tex]

Calculating a correlation can help describe a relation between two quantitative variables' ___ and ___ . However, it is not sufficient to use a correlation coefficient to describe two variables. The addition of ___ can provide other helpful details such as __ _."

Answers

Answer:

direction

shape

scatter plots

shape and outliers

Step-by-step explanation:

Correlation is defined as the degree of correspondence between two variables.

When the values increase together, correlation is positive and when one value decreases as the other increases, correlation is negative .

Calculating a correlation can help describe a relation between two quantitative variables' direction and shape. However, it is not sufficient to use a correlation coefficient to describe two variables.  The addition of scatter plots can provide other helpful details such as shape and outliers

A study was conducted to determine how bacteria cells multiply over time in a controlled environment. In the study, the bacteria cells were counted once every hour for a total of 6 hours. which one is indepedent variable and dependent varible?

Answers

Answer:

Dependent variable → bacteria cell increase or population

Independent variable → time variable

Step-by-step explanation:

An independent variable has direct effect on the dependent variable. The independent variable can stand on it own and it is not change by the other variable you are trying to measure. The independent variable have direct effect on the dependent variable.

A dependent variable is actually the variable being tested in an experiment. The dependent variable is actually dependent on the independent variable.

The dependent variable in this scenario is the bacteria cell increase or the bacteria cell multiplication.  The bacteria cell increase is dependent on the time . The time variable is the independent  variable as it can stand on it own .

Dependent variable → bacteria cell increase or population

Independent variable → time variable

a courtroom spectator merely looks at the defendant and says, “He’s guilty, i tell you.”

Answers

Answer:

hes lyin prolly

Step-by-step explanation:

Hahahahahahaha imagine

What is the value of n ??????????

Answers

Answer:

it's b 59° because it's at the side

Your company made $120,000 in revenue and $50,000 in costs for 2017. What was your profit?

Answers

Answer:

$70,000

Step-by-step explanation:

Profit = Revenue - Costs

x = 120,000 - 50,000

x = 70,000

A teacher wrote the equation 3y + 12 = 6x on the board. For what value of b would the additional equation 2y = 4x + b form a system of linear equations with infinitely many solutions?
b = –8
b = –4
b = 2
b = 6

Answers

Answer:

-8

Step-by-step explanation:

For a system to have infinitely many solutions the two equations must be the same line. We can simplify the first and second equations by dividing them by 3 and 2 respectively to get:

y + 4 = 2x

y = 2x + b/2 → y -b/2 = 2x

Since the constants must be equal, 4 = -b/2 which means b = -8.

Answer:

b=-8

Step-by-step explanation:

Based on historical data, your manager believes that 36% of the company's orders come from first-time customers. A random sample of 195 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.34 and 0.49

Answers

Answer:

[tex] P(0.34 <\hat p<0.49)[/tex]

And the distribution for the sample proportion is given by;

[tex]\hat p \sim N(p, \sqrt{\frac{p(1-p)}{n}})[/tex]

And we can find the mean and deviation for the sample proportion:

[te]\mu_{\hat p}= 0.36[/tex]

[tex]\sigma_{\hat p} =\sqrt{\frac{0.36(1-0.36)}{195}}= 0.0344[/tex]

And we can use the z score formula given by:

[tex] z = \frac{0.34 -0.36}{0.0344}= -0.582[/tex]

[tex] z = \frac{0.49 -0.36}{0.0344}= 3.782[/tex]

And we can use the normal distribution table and we got:

[tex] P(-0.582 <z< 3.782) =P(z<3.782)-P(z<-0.582)=0.99992-0.2803= 0.71962[/tex]

Step-by-step explanation:

For this case we know that the sample size is n =195 and the probability of success is p=0.36.

We want to find the following probability:

[tex] P(0.34 <\hat p<0.49)[/tex]

And the distribution for the sample proportion is given by;

[tex]\hat p \sim N(p, \sqrt{\frac{p(1-p)}{n}})[/tex]

And we can find the mean and deviation for the sample proportion:

[tex]\mu_{\hat p}= 0.36[/tex]

[tex]\sigma_{\hat p} =\sqrt{\frac{0.36(1-0.36)}{195}}= 0.0344[/tex]

And we can use the z score formula given by:

[tex] z = \frac{0.34 -0.36}{0.0344}= -0.582[/tex]

[tex] z = \frac{0.49 -0.36}{0.0344}= 3.782[/tex]

And we can use the normal distribution table and we got:

[tex] P(-0.582 <z< 3.782) =P(z<3.782)-P(z<-0.582)=0.99992-0.2803= 0.71962[/tex]

Find the slope of the line: 3x-2y=6

Answers

Answer:

slope = 3/2

Step-by-step explanation:

3x-2y=6

Get this equation in the form y = mx+b where m is the slope and b is the y intercept

Subtract 3x from each side

3x-3x-2y=-3x+6

-2y = -3x+6

Divide each side by -2

-2y/-2 = -3x/-2 +6/-2

y = 3/2x -3

The slope is 3/2 and the y intercept is -3

Answer:

3/2

Step-by-step explanation:

I got this answer by putting it in the form y=mx+b

Step 1: Subtract 3x from each side

-2y = -3x+6

Step 2: Divide each side by -2

y = 3/2x -3

The slope is 3/2 and the y intercept is -3 because m is the slope and b is the y-intercept.

A baseball player comes up to bat 3 times during a league game. He either gets a hit or gets an out. What is the probability that the player gets 3 hits in the three bats ?

Answers

Answer:

Since there are 2 possibilities for each bat (hit or out), the amount of total possibilities is 2 * 2 * 2 = 8. There is only one possibility out of those eight that gives us three hits, therefore the probability is 1 / 8 or 0.125.

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