The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in cm2/min) is the surface area of the ball increasing when the radius is 9 cm?

Answers

Answer 1

Answer:

9th min?

Step-by-step explanation:

lol sorry im set 4 maths

Answer 2

144π cm²/min is the surface area of the ball increasing when the radius is 9 cm.

What is Surface area?

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given,

Radius of a spherical ball is increasing at a rate of 2 cm/min.

We need to find exactly what rate (in cm2/min) is the surface area of the ball increasing when the radius is 9 cm

S = surface area at time t,  and r = radius at time t

r=9cm

dr/dt = 2 cm/min

S = 4πr²

Differentiate with respect to t

ds/dt=2.4πrdr/dt

=8πr(2)

=16πr

=16π(9cm)

=144π cm²/min

Hence 144π cm²/min is the surface area of the ball increasing when the radius is 9 cm.

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Related Questions

Hannah purchased three items at the store for $7.05, $8.12, and $3.97. She paid for
her items with a $50 bill. Which most closely estimates the change Hannah should
receive?

Answers

Answer:

She should receive $30.86

Step-by-step explanation:

$7.05 + $8.12 + $3.97 =19.14

50 - 19.14 = 30.86

Using the subtraction method we have found that Hannah will receive the change of $30.86

What is subtraction?

Subtraction is an arithmetic operation that represents the operation of removing objects from a collection

Total cost of three items =7.05 + 8.12 + 3.97 =$19.14

She paid $50 bill

Change that Hannah should receive is =50 - 19.14 = $30.86

Hence, change that Hannah should receive is$30.86

Learn more about subtraction here

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Guys please help

Relative frequencies are calculated as _____.
A. Median
B. Totals
C. Percentages
D. Ranges ?

Answers

Answer:

B.

Step-by-step explanation:

Answer:

The answer is percentages

Step-by-step explanation:

I got it right on a quiz

find the total composite area​

Answers

Answer:

Times, and conquer.

Step-by-step explanation:

First half the picture, for the circle and square. so we know the base is 28m, and the length including the circle is 24. So now times the two numbers and bam your answer.

The computer store pays $250 each for a flat screen monitor. The store uses a 30% markup. Find the selling price for each flat screen monitor. ​

Answers

Answer:

Step-by-step explanation:

250*30%=75 mark up

250+75 markup = 325 selling price

The graph of f(x) = x3 + 6x2 + 12x + 8 is shown.


Based on the graph, how many real number solutions does the equation x3 + 6x2 + 12x + 8 = 0 have?

no real number solutions
one real number solution
two real number solutions
three real number solutions

Answers

Two real number solutions
Hope this help

As per cubic equation, there will be one real solution of the given equation.

What is a cubic equation?

"A cubic equation is an algebraic equation of degree three and is of the form ax³ + bx² + cx + d = 0. x is a variable.

Here a, b and c are the coefficients and d is the constant"

Given cubic equation is:

x³ + 6x² + 12x + 8 = 0

⇒ x²(x + 2) +4x(x + 2) + 4(x + 2) = 0

⇒ (x + 2)(x² + 4x + 4) = 0

⇒ (x + 2)(x + 2)²  = 0

⇒ (x + 2)³ = 0

⇒ x = -2

There will be one real solution of the given equation.

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What is 100/82 ×683.3

Answers

Answer:

833.29  

Just work it out on a piece of paper.

Solve the
equation:
-88 = X-10

Answers

x = -78 .. add 10 both sides then simplify the equation, switch sides.

Answer:

I think it is x=-78

Step-by-step explanation:

Learned it in math class :)

URGENT TEST I HAVE!!!!

Answers

Answer:

I think they are asking the area of the triangle so we are going with that.

Step-by-step explanation:

Easiest way to do this is find the area of the incomplete square, and then cut that in half for the triangle.

so it is 4 cm wide

and 8 cm tall

length x width = area

8 x 4 = 32

32/2 = 16

So your answer should be 16 cm

Let R be a region in the xyâplane and β >0 be a constant. What is the region R that will minimize the value ofintegral(x^2 + y^2 - b^2)?

Answers

Let R be region in the xy-plane and β>0 be the constant. What is the region R that will minimize the value of integral (x² + y² - β²).

i.e.

[tex]\int \int _R (x^2 +y^2 - \beta^2) \ dA[/tex]

Answer:

0

Step-by-step explanation:

Given that:

[tex]\int \int _R (x^2 +y^2 - \beta^2) \ dA[/tex]

where;

R is the region in the xy-plane.

To minimize our double integral, we have to determine the region over which the function we are integrating has a negative value.

x² + y² - β²  ≤ 0 ; where β > 0 is a constant

x² + y²  ≤ β² is the  circle with center (0,0)

Radius "β" because  R: x² + y²  ≤ β²

The polar coordinates: x = rcosθ and y = rsinθ

x² + y² = r²

⇒ r limits : r = 0 → β

⇒ θ limits : r = 0 → 2π

[tex]\iint_R(x^2+y^2-\beta^2) \ dA =\int\limits ^{2 \pi}_{\theta=0} \int \limits ^{\beta}_{r=0}( \beta^2 -\beta^2) \ rd \ rd\ \theta[/tex]

[tex]\int \int _R (x^2 +y^2 - \beta^2) \ dA[/tex] = 0

Pls help me , I really need help and I’ll let u get the brainliest

Answers

Answer:

y=5x

Step-by-step explanation:

x-months

y-books read

5*x = y

Caleb draws two triangles (image)

Answers

Answer:

no no yes yes

Step-by-step explanation:

1 + 1 I'm confusedddddddddddddddddddddddddddddddddddddddddd

Answers

Answer:

its 2 homie

Step-by-step explanation:

1+1 equals 2 one thing plus another equals the next number.

2√x+1=7
what is the value of x ​

Answers

Answer:

9

Step-by-step explanation:

2√x+1=7

2√x=6

√x=3

x=9

But what did you multiply to get 75?\

Answers

Answer:

You multiply 37.5*2 to get 75.

Step-by-step explanation:

GIVING BRAINLIST ASAP

A basketball that sold for $65 is marked up to $70.20. What is the percent of the markup?

Answers

i got 8%

Amount of markup:

70.20 −65.00= 5.20

Markup as a percentage of original price

5.20/65.00 x 100 = 8

Find the domain : 15 - sq root (x+2)

Answers

Answer:

x ≥ -2

Step-by-step explanation:

Use the Distributive Property to simplify the expression. 10(4-w)=
HELP PLZ!!!!!!

Answers

Answer:

40 - 10w

Step-by-step explanation:

Name the property illustrated. 8 + 5 + 7 = 5 + 8 + 7

Answers

Answer:

8 + 5 + 7 =20

Step-by-step explanation:

A bakery offers a sale price of $2.90 for 6 muffins. What is the price per dozen?

Answers

Answer:

8.70

Step-by-step explanation:

Answer:

the price for per dozen would $5.80 I hope this is right

Step-by-step explanation:

you multiply $2.90 by 2 because the muffins are 2.90 for 6 muffins so if you add 6 on it would be a dozen so all you have to do it multiply 2.90 by 2 please tell me if this is correct or wrong if it is wrong i will change it to the correct answer thank you

An Air Force plane left Paris and flew toward Moscow. A cargo plane left one hour later flying 40 km/h faster in an effort to catch up to it. After four hours the cargo plane finally caught up. What was the Air Force plane's average speed?
(Use box method)

Answers

Their is your answer hope i get a like

Answer:

The plane is traveling at 160 km/h

Step-by-step explanation:

This is because if the first plane is traveling at 160 and flies for 5 hours it'll travel 800 km. then the second plane will have to catch up in 4 hours since it left an hour late, this means traveling at 160 km with an extra 40 km in 4 hours will get it to the first plane at 800 km in the 4 hours given

please help me asap​

Answers

Answer:3. D. 2 2/94. A. 1 1/9Hope this helps!!

Answer:

3) 2 and 2/9

4)  1 and 1/9

Step-by-step explanation:

someone please help with my math question on my page/account

Answers

Answer:

you couldve put it here -.-

Step-by-step explanation:

Louis owns a rectangular piece of property with an area of 1 3 4 square miles. The length of the property is 2 1 3 miles. What is the width of the property?

Answers

Answer:

Step-by-step explanation:

Area of the land A - Length * Width

Given

A = 1 3/4 mi²

Length L = 2 1/3 miles

Required

Width of the property

Substitute into the formula;

A = LW

W = A/L

W = 1 3/4/(2 1/3)

W = 7/4 ÷ 7/3

W = 7/4 × 3/7

W = 3/4 miles

Hence the width of the property is 3/4 miles

A box weighs 90 grams. Write down, in terms of b, the weight of the boxes.

Answers

Answer:

'

Step-by-step explanation:

'

13. F(x)= -2x squared help please

Answers

Answer:

Step-by-step explanation:

(0,-2)

a family of 6 goes to the local sandwich shop. All six people order the combination meal, which includes a drink and a sandwich for $6.99. One person thinks the total bill will be around $30. Is this a reasonable estimate?

Answers

Answer:

No, a reasonable estimate is around 6 times $7 = $42

Step-by-step explanation:

$6.99 is rounded up to 7, and there are 6 people who ordered a $7 meal. And 6 times 7 is 42

Which sequence could be partially defined by the recursive f (n + 1) = f(n) + 2.5 for n > 1?

Answers

Answer:

Step-by-step explanation:

f(n + 1) = f(n) + 2.5

f(1) = -10

f(2) = f(1) + 2.5 = -10 + 2.5 = -7.5

f(3) = f(2) + 2.5 = -7.5 + 2.5 = -5

f(4) = f(3) + 2.5 = -5 + 2.5 = -2.5

Find each value if f(x) = 2x- 1 and g(x) = 2 - x2,
f(12)
f(0)

Answers

Use pothomath that app is good
For math

Please help me ;-; idk how to do this

Answers

Answer:

7.5

Step-by-step explanation:

12.5/10=1.25

7.5/6=1.25

Store A is selling 7 pounds of bananas for $7:00. Store B is selling 3 pounds of bananas for $6:00. Which Store has the better deal

Answers

Answer:

Store A has a better deal

Step-by-step explanation:

Answer:

Store A has the better deal

Step-by-step explanation:

People would see that 7 pounds of bananas is worth 7$ and would buy from store A instead of store B for selling a lesser amount for almost the same price.

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