A spherical balloon is inflated so that its volume is increasing at the rate of 2.5 ft3/min. How rapidly is the diameter of the balloon increasing when the diameter is 1.3 feet?

Answers

Answer 1

Answer:

.9417 ft/min

Step-by-step explanation:

Sphere volume = 4/3 pi r^3

dv/dr = 4/3 pi * 3 r ^2    = 4 pi r^2

dv/dr  * dr/dt =    dv/dt =  4 pi r^2  dr/dt

                          2.5   = 4 pi (1.3/2)^2 dr/dt      (Diameter is 1.3 , radius is 1.3/2)

                                 dr/dt = .4709  ft/min

  THIS answer is how fast the RADIUS is changing

         the DIAMETER is changeing TWICE this:

                2 x .4709 ft/min = .9417 ft / min     =   diameter/dt

 


Related Questions

What is the solution to the system of equations below? y = negative four-fifths x 6 and y = –30 (45, –30) (–30, 30) (–30, 45) (30, –30)

Answers

The solution to the system of equations is (45, –30)

How to determine the solution to the system of equations?

The equations are given as:

y =-4/5x + 6

y = –30

Substitute y = –30  in y =-4/5x + 6

-30 =-4/5x + 6

Subtract 6 from both sides

-36 = -4/5x

Divide both sides by -4

9 = 1/5x

Multiply both sides by 5

x = 45

So, we have:

(x,y) = (45, –30)

Hence, the solution to the system of equations is (45, –30)

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Answer:

(45, –30)

Step-by-step explanation:

The graph shows triangle A B C is congruent to triangle D E F ​by S A S, where segment C A is congruent to segment F D, segment C B is congruent to segment F E, and angle C is congruent to angle F

Move the statements to the table to create a series of transformations that will map triangle A B C onto triangle D E F to show that the two triangles are congruent.
What is Transformation 1 and. Transformation 2

Answers

reflection on x-axis

then translations right 3 units & down 2 units

Somebody please help me on this

Answers

Answer:

36

Step-by-step explanation:

unknown angle = given angle - 360 because a full circle is 360°

so unknown angle "n" = 360 - 324 = 36

Given the points K(-2;5), L(1,3) and M(-5; 2p). Calculate the value
of p if KL ILM.

How do I solve this question?

Answers

The product of the perpendicular lines is a negative one. Then the value of p will be negative 3.75.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Given the points K(-2,5), L(1,3) and M(-5, 2p).

If KL is perpendicular to LM. Then we have

The slope of KL will be

KL = (1+2)/(3-5)

KL = -1.5

The slope of LM will be

LM = (1+6)/(3-2p)

LM = 7/(3-2p)

We know the product of the perpendicular lines is a negative one.

        KL x ML = -1

-1.5 x 7/(3-2p) = -1

              -10.5 = -3 + 2p

                 2p = -7.5

                   p = -3.75

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Jeanette chose 100 of the 300 students in her grade level at random and asked what their favorite team sport to play was. The results are shown in the table below. Based on the results in the table, is it valid to infer that more students in Jeanette′s grade like to play basketball than football? Explain your answer.

Answers

Answer:

It is valid that more students in Jeanette′s grade like to play basketball than football because 33 people play basketball and only 18 people play football.

Step-by-step explanation:

Answer:

I think that it is not valid to infer that more students in Jeanette's grade like to play basketball than football because she gathered the results of 100 students only which is not even 100% of the total no of students in her grade.

Step-by-step explanation:

what is the volume of 480in

Answers

Answer:

please check the question, it is not straight forward

In 2000 the population of country a reached 4 million, and in 2025-is projected to be 7.5 million.
(a) find values for po and a so that the following formula models the population of country a in year x.
f(x)=poa*-2000
(b) estimate the country's population in 2010 to the nearest hundredth of a million.
(c) use f to determine the year during which the country's population might reach 10 million.
(a) find values for po and a.
po= million
(round to the nearest hundredth as needed.)
a=
(round to five decimal places as needed.)

Answers

Answer:

the answer is 2000 so yea

The table compares the number of songs and the number of videos Ruby's friends keep on their mobile phones.
Can the number of videos Ruby's friends keep on their phone be represented as a function of the number of songs?
Songs Videos
200200200 101010
125125125 545454
310310310 112112112
172172172 373737
215215215 434343
260260260 585858
125125125 666666
322322322 878787

Answers

A function assigns the values. The table can be represented by a function.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

No, the number of videos kept on Ruby's friends' phones cannot be expressed as a function of the number of songs. A function produces a distinct result for each input. When the input is 125, we get two distinct results. As a result, the table does not represent a function.

Hence, the table can be represented by a function.

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Please help giving 80 points
Graph the function on the coordinate plain

A)what are the x intercepts
B)what is the y intercepts
C)what is the maximum and minimum value

Answers

Answer:

it should be C I did something very very similar to this but different questions

Answer:

 a) {-6, 2}

 b) -12

 c) minimum: -16

Step-by-step explanation:

I find a graphing calculator to be a big help. Its graph is attached.

a) The function can be factored as:

 f(x) = (x -2)(x +6)

The factors are zero at the x-intercepts: x = 2, x = -6.

b) The y-intercept is the function value when x=0. That is the constant in the function. The y-intercept is -12.

c) The leading coefficient of the function is positive, so its graph opens upward. The extreme value is a minimum. It is found on the axis of symmetry, at the x-value that is halfway between the x-intercepts: x = (2-6)/2 = -2. The function value there is ...

f(-2) = (-2-2)(-2+6) = -4(4) = -16

The minimum is f(-2) = -16.

use Demoiure's Theorem to find (-2-2√3i)³

Answers

Let z = -2 - 2√3 i.

Find the modulus of z :

|z| = √((-2)² + (-2√3)²) = √16 = 4

Find the argument of z (note that z lies in the third quadrant):

arg(z) = arctan(2√3/2) - π = arctan(√3) - π = -2π/3

Then in polar form, we have

[tex]z = -2 - 2\sqrt 3\, i = 4 \exp\left(-i\dfrac{2\pi}3\right)[/tex]

By DeMoivre's theorem, the cube of z is

[tex]z^3 = \left(4 \exp\left(-i\dfrac{2\pi}3\right)\right)^3 = 4^3 \exp(-i 2\pi) = \boxed{64}[/tex]

Suppose you roll two number cubes. What is the probability of getting:
a. exactly one cube showing an even number?
b. at least one cube showing an even number?
c. two values that have a sum of at least 7?

Answers

Answer:

are a, b, and c the options or are they different questions?

it is a because it’s right i took this answer and got it right .

The diameter of a pipe is 6 cm. If the pipe is 35 cm long, what is its volume?
Use the value 3.14 for 7, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answers

Answer:

I can't solve it.

Step-by-step explanation:

Will mark brainlist to whoever answers first
(3).

Answers

Answer:

70

Step-by-step explanation:

in parallelograms, the measure of reciprocal angles is equal to 180 because they are supplementary,

m<D = 110 so the measure of m<A which is reciprocal to m<D is equal to 70

Need help please answer ASAP!

Answers

Answer:

    29. (2) 12

    30. (1) a slope of 3/2 and a y-intercept of -6

    31. (1) 12

    32. (4) 8%

    33. (1) -5

Step-by-step explanation:

Question 29

2x/3 - 5 = x/42x/3 - x/4 = 5(8x - 3x)/12 = 55x = 60x = 12(2) 12

Question 30

3x - 2y = 122y = 3x - 12y = 3x/2 - 6It has a slope of 3/2 and y-intercept of -6(1) a slope of 3/2 and a y-intercept of -6

Question 31

(x - 4)(x + a) = x² - x + w = 0a - 4 = -1a = 3(x - 4)(x + 3) = x² - x - 12 = 0w = 12(1) 12

Question 32

Sales tax = $20.51 - $18.99 / $18.99Sales tax = $1.52/$18.99Sales ≈ 8%(4) 8%

Question 33

C = 5/9 [23 - 32]C = 5/9 (-9)C = -5(1) -5

Viktoria knows that it is impossible to remove a red marble from her bag that has no red marbles in it. if she reaches into the bag and pulls out a marble without looking, what is the probability that the marble will be red? 0 startfraction 1 over 11 endfraction three-fourths 1

Answers

Because there are no red marbles on the bag, we will see that the probability is zero.

How to find the probability?

We want to find the probability that the marble will be red. Viktoria knows that her bag has no red marbles, then it is impossible to get a red marble.

The probability of an impossible event is 0 (suppose that there are 10 marbles in the bag, we have a probability of 0 out of 10 of getting a red marble).

Then we can write the probability as P = 0.

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Answer: 0 enjoy

Step-by-step explanation:

Find the volume of this cone round your answer to the nearest whole number use 3.14 for pi diameter = 5 mm, height = 6 mm

Answers

Answer:

Answer = 39.25 or 39 if rounded to the nearest whole number

Step-by-step explanation:

The formula for finding the volume of a cone is h(pi)(r^2)/3. We know that the height is 6 and the diameter is 5. Since we know the diameter we know that the radius is 2.5 since it is one half of the diameter. Now that he know the radius and height we can plug the values into the equation to get V=39.25

Hope that helps! :)

Select all ordered pairs that correspond to input-output pairs for the function y = 3x - 2.

(-2, 0)
(-1, -5)
(0, -2)
(2, 3)
(-3, -11)

Answers

Answer:

(-1, -5)

(0, -2)

(-3, -11)

Step-by-step explanation:

y = 3x - 2.

→ 3×(-2)-2=-8 ≠0 ⇒(-2, 0) doesn’t correspond to input-output pairs for the function

→ 3×(-1)-2=-5 ⇒(-1, -5) corresponds to input-output pairs for the function

→ 3×(0)-2=-2 ⇒(0, -2) corresponds to input-output pairs for the function

→ 3×(2)-2=4≠3 ⇒(2, 3) doesn’t correspond to input-output pairs for the function

→ 3×(-3)-2=-11 ⇒(-3, -11) corresponds to input-output pairs for the function

PLS HELP ITS MATH I DONT UNDERSTAND

Answers

Answer:

that would be 12

Step-by-step explanation:


62 - 50 = 12

X = 12

Answer:

that is 12

Step-by-step explanation:

u have to subtract 62 - 50 to get 12

That way

X = 12

A line passes through the point , (−3, -4) and has a slope of 3. Write an equation in slope-intercept form for this line.

How do I solve this?

Answers

Answer:

y=3x+5

Step-by-step explanation:

Take the point you are given and plug it into whatever you're using (paper or a sight) take the slope and find another whole number that contents with the slope's path. now time for the easy part. make the start of the equation; in this case, its y=3x now once you have done that make a line that goes through the y axis, this will give you the y-intercept of 5. if you are using a sight then its way easier; you can either look and estimate where it crosses the y axis or you can start at a number and go up or down depending on how close you are to your 2 points. once you have done that you should have all you'll need to make the equation!

if this makes no sense tell me!

pls help and thank you ​

Answers

Answer:

cost price of the bat: $3130.43

Step-by-step explanation:

3600/1.15 = 3130.43

Hope this helps

How do you solve for area?​

Answers

multiply the length by the width.

An airliner has 40 rows of seats. Each row has 2 seats on one side, 3 seats in the middle and 2 seats on the other side. How many seats are in the crows ? a) 280 b) 950 c) 400 d) 3,590​

Answers

Answer:

280 seats

Step-by-step explanation:

40*7 = 280

Answer:

18

Step-by-step explanation:

what is this? please help​

Answers

Answer:

4

Step-by-step explanation:

Mean is another way to say the average of a set of numbers. To find the average you need to add all the numbers in the set together, and then divide by the amount of numbers that where given.

In this case:

6 + 8 + 2 + 0 + 4 + 5 + 3 = 28

there are 7 numbers given in the set, so you divide 28 by 7 to get your mean.

28 / 7 = 4

Answer:

4

Step-by-step explanation:

To find the mean of a set of numbers, you add up all the numbers and then divide them by the amount of numbers there are.

So, let's add up these numbers.

6 + 8 + 2 + 0 + 4 + 5 + 3 = 28

Now, there are a total of 7 numbers, so we divide 28 by 7.

28 / 7 = 4

Therefore, the mean of this data set is 4. I hope this helps! Have a lovely day!!

A shop is selling notebooks for £1.50 each.
They have a buy one get one half price offer on.
How many notebooks can be bought for £25?

Answers

Answer:

18 . 75

Step-by-step explanation:

1.50's half is 0.75 , Then multiply £1.50 × £25

Answer:

one book=1.50

the other half priced book=0.75

so 0.75+1.50=2.25

25/2.25

=11.111

so eleven books

Renting Cars Floppy Jalopy Rent-a-Car has 25 cars available for
rental-20 big bombs and 5 midsize cars. If two cars are selected at
random, what is the probability that both are big bombs?

Answers

The probability that both are big bombs is 19/30 or 0.63 if the renting Car's Floppy Jalopy Rent-a-Car has 25 cars available for rental-20 big bombs and 5 midsize cars. If two cars are selected at random.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

Renting Cars Floppy Jalopy Rent-a-Car has 25 cars available for rental-20 big bombs and 5 midsize cars. If two cars are selected at random.

Total number of outcomes = C(25, 2) = 300

Total number of favorable outcomes = C(20, 2) = 190

Probability = 190/300 = 19/30 or

= 0.63

Thus, the probability that both are big bombs is 19/30 or 0.63 if the renting Car's Floppy Jalopy Rent-a-Car has 25 cars available for rental-20 big bombs and 5 midsize cars. If two cars are selected at random.

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There are 914 students enrolled in Lakeview Elementary School. Frederich Elementary School has 276 fewer students enrolled. How many students are enrolled at Frederich Elementary School?

Answers

The answer is 638 cause 914-276 is 638

Answer:

638 students.

Step-by-step explanation:

girl this is basic math i don’t  think i need to explain

The measurement of an angle is 40°, and the length of a line segment is 8 centimeters.

Answers

Answer:

I'm assuming it's a triangle of some sort. I'll assume it's a right triangle. All the angles and sides are there. I would need 2 angles and 1 side or 2 sides and 1 angle to get a specific triangle.

Step-by-step explanation:

4 ÷ 5/7 Give your answer as a mixed number in its simplest form.

Answers

Answer:

5.6

Step-by-step explanation:

4 ÷ 5/7

is 4 divide 5 over 7

which is 5.6

The top few hits from a search engine claim that approximately 10% of the population in the United States is left-handed. From a random sample of 20 students at your high school, you find 6 left-handed students, which gives you reason to believe that the true parameter is greater than 10%.

Use the drop-down menus to complete the statements.

Using a random number table, let digits
represent left-handed individuals and let digits
represent right-handed individuals.

Moving left to right across a row, select
numbers at a time and record the proportion of left-handed individuals.

Answers

Answer:

ok but question should be more clear though this is hard to understand

Answer:

0, 1-9, 20

Step-by-step explanation:

Pre-calc 2021

I need help pleaseeee

Answers

maybe A i’m not exactly sure
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