Suppose a spherical balloon is inflated at the rate of 10 cubic centimeters per minute. How fast is the radius of the balloon increasing when the radius is 5 cm

Answers

Answer 1

Answer: The radius increases by 0.032 cm/minute.

Step-by-step explanation:

The volume, V, of a sphere is V = (4/3)πr^3.

For the volume to increase at a rate of 10cc (cubic centimeters) per minute, the radius must increase such that the additional radius (r)^3 = 10

V = (4/3)πr^3

V = (4/3)π5^3

V = 524 cc

We add 10 cc to have the balloon hold 544 cc.  We calculate the increase in radius:

534=(4/3)*pi*x^3

We can now calculate the new radius, x.

x = 5.032 cm

The radius increased by 0.032 cm/minute.


Related Questions

pls help asap MIDSEGMENTS

Answers

Answer:

Angle 5=60°

Step-by-step explanation:

Angle 4 = 180°-116° (adj angles on a str line)

= 64°

Angle 5 = 180°-64°-56° (angle sum of triangle)

= 60°

Answer:

<5 = 60 degrees

Step-by-step explanation:

<4 = 180-116 = 64 degrees

64 + 56 + <5 = 180 degrees

<5 = 180-56-64

How many bagels can you buy for $50?​

Answers

Answer: about 120??

Step-by-step explanation: pls leave a thanks if helped <3

Answer: 120 bagels

Step-by-step explanation:

$50/$5 = 10 dozens of bagels

10 dozens x 12 = 120 bagels in total

what is 23 in binary​

Answers

Answer:

vanadium

Step-by-step explanation:

Answer:

10111

Step-by-step explanation:

may it will help you

Help please i need it fast

Answers

Answer:

(0,0) (3,2) and (-2,-2) (4,2)

Step-by-step explanation:

To find the slope, you do [tex]\frac{y_{1}-y_{2} }{x_{1}-x_{2}}[/tex], which would work for both.

2-0/3-0=2/3

2-(-2)/4-(-2)=2+2/4+6=2/3

a table is 60 cm in diameter. A tablecloth hangs 65cm all around. how much lace trim is needed to edge the cloth

Answers

The circumference of a circle is the total length of the boundary of the circle. So that the length of lace trim required is 597.1429 cm.

The diameter of the table is 60 cm, which has 65 cm tablecloth hanging on its sides. The diameter of the cloth required would be the length from one side to the other side. So that the total diameter of the tablecloth is:

= 60 cm + 2*65 cm

= 60 cm + 130 cm

= 190 cm

The diameter of the tablecloth required is 190 cm.

Thus to determine the circumference of the tablecloth, we have;

C = 2[tex]\pi[/tex]r

   = [tex]\pi[/tex]D

where D is the diameter of the tablecloth.

C = [tex]\frac{22}{7}[/tex] x 190

   = 597.1429

C = 597.1429 cm

Therefore, the length of lace trim required for the edge of the tablecloth is 597.1429 cm.

Kindly check: https://brainly.com/question/13183446

How to find correlation coefficient with standard deviation.

Answers

Answer:

Another way to calculate the correlation coefficient (r) is to multiply the slope of the regression line by the standard deviation of X and then divide by the standard deviation of Y.

answer dis please

Aiko3han owo

Answers

Answer:

b

Step-by-step explanation:

What is the value of this expression when c = 3 and d = 7? 15+c2⋅d−c3

Answers

Answer:

The value of this expression is 48

Step-by-step explanation:

15 + c2 * d - c3

c = 3

d = 7

Substitute the values of c and d

15 + (3)2 * 7 - (3)3

Multiply the parenthesis first

15 + 6 * 7 - 9

Now multiply 6 and 7

15 + 42 - 9

Now add 15 and 42

57 - 9

Now subtract

= 48

Answer:

48

Step-by-step explanation:

When you write out the problem it should look like this

15+c⋅2⋅d-c⋅3

or in other form

15+3⋅2⋅7-3⋅3

You can solve using PEMDAS

Paratheses

Exponents

Multiplication

Division

Addition

Subtraction

Just use those in order and you should find to answer.

-Rocketgamer360

A store had a 20% off
Black Friday sale. One item was
originally $75. How much was it on
sale for

Answers

Answer:

$60

Step-by-step explanation:

20% off means 80% of original price

80% = 8/10 or 0.8

75 * 0.8 = 60

you could also do 20% = 1/5, 1/5 of 75 is 15, 75-15=60

SOMEONE PLEASE HELP‼️‼️‼️ILL MARK BRAINLYEST ‼️‼️PLEASE ‼️‼️
How is a trapezoid different from a rectangle?

A. It’s is not a closed polygon
B. It has five legs and a diagonal
C. It has one pair of parallel sides
D. It has all pairs of parallel sides

Answers

Answer:

C.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A can't be right because rectangles and trapezoids are both closed polygons.

B can't be right because both shapes can't even have 5 legs.

C is right because triangles only have one pair of parallel sides and rectangles have two pairs.

D trapezoids don't have two pairs of parallel sides because two sides intersect eventually.

suppose that a flu virus spreads according to the

Answers

We will All get sick and would have to stay home just like cocos

help ? yes ? no ? maybe ?

Answers

Answer:

They are proportional

Step-by-step explanation:

Proportionality:

They are proportional because the cost is going up by 10 the entire time and the hours rented is going up by 2 the entire time.

Graphing:

Go to the 2 on the x-axis (horizontal line)

Go up to the 20 on the y-axis (vertical line)

The points to graph are:

(2,20)

(4,30)

(6,40)

(8,50)

I put a pic of what your graph should look like below!

Answer:

To plot the graph put the hours along the x axis and the cost on the y axis. Its a positive realationship because when the hours go up the cost goes up to, it isn't proportional because both values don't go up at the same rate.

Step-by-step explanation:

Please help! Precalco

Answers

Answer:

  A = 2r²

Step-by-step explanation:

A square is a rhombus with equal-length diagonals. A square inscribed in a circle has diagonals equal to the diameter of the circle: 2r.

The area of a rhombus is half the product of the lengths of its diagonals. Hence the area of our square is ...

  A = (1/2)(2r)(2r)

  A = 2r²

Answer:

2

Step-by-step explanation:

r=1/2s[tex]\sqrt{2}[/tex]

2r=s[tex]\sqrt{2}[/tex]

2r/[tex]\sqrt{2}[/tex]=s remove [tex]\sqrt{2}[/tex] denominator by multiplying with [tex]\sqrt{2}[/tex]/[tex]\sqrt{2}[/tex]

2[tex]\sqrt{2}[/tex]r/2  -- simplify , 2 cancels

s=r[tex]\sqrt{2}[/tex]

so area = (r[tex]\sqrt{2}[/tex])^2

A(r)= 2r²

What is the solution for the inequality 4≤r/18+10?

Answers

[tex]4 \leq \dfrac{r}{18} +10\\\\\\\implies 4-10 \leq \dfrac{r}{18}\\\\\\\implies -6 \leq \dfrac r{18}\\\\\\\implies -6(18) \leq r\\\\\\\implies -108 \leq r\\\\\\\implies r \geq -108\\\\\\\text{Interval,}~ [-108 , \infty)[/tex]

Find the value of 15/4 ÷ 5/8

Answers

Answer:6

Step-by-step explanation:

when dividing by a fraction. you can multiply by its reciprical

15/4 *8/5

(15*8)/(4*5)

120/20

If you need to simplify

6

EDIT: answer above got this right before me. for some reason I did 8*5 as 30  :/

Answer the question below:

A: 2 units right and 6 units up

B: 6 units left and 2 units down

C: 2 units left and 6 units up

D: 6 units right and 2 units down

Answers

Answer:

c

Step-by-step explanation:

Find the slope between the following points. Make sure you simplify!!:
(-5, 8) and (-11,8)

Answers

Answer:

0

Step-by-step explanation:

use the slope formula

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

(-5, 8); -5 is x1 and 8 is y1

(-11, 8); -11 is x2 and 8 is y2

Plugin the numbers and solve.

[tex]m = \frac{8 - 8}{ - 11 - - 5 } \\ \\ m = \frac{8 - 8}{ - 11 \ + 5} \\ \\ m = \frac{0}{ - 6} \\ \\ m = 0[/tex]

On August 19, 2002, the ratio of stocks gaining value on the New York Stock
Exchange to stocks losing value was about 43 to 20. If 869 stocks lost value, how
many gained?
A)892
B)1953
C)1797
D)1868

Answers

Answer:

D: 1868

Step-by-step explanation:

43:20 ratio

43/20 = 2.15

869 * 2.15 = 1,868.35

round down to nearest whole number

1,868

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

1. No

2. No

3. No

4. Yes

Step-by-step explanation:

Insert each y value into the equation. If it equals -14, then it is a solution to the equation. The only one of these y values that is a solution is the last one, -2.

8 * (-2) = -16

-16 + 2 = -14

So y = -2 is a solution.

Please to this step by step with answer

Answers

first you would have to multiply 12 times 5 (60) then multiply 7 times 18 (126) you subtract both [ 126 - 60] = (66) that would be your final answer. They both need to have worked 66 minutes to have the same number of boxes.

Suppose y varies jointly as × and z. What is y when × = 2 and z = 3, if y = 20 when × = 4 and z = 3?

Answers

Answer:

y = kxz

Step-by-step explanation:

(Find K)

20 = k(4) (3)

20/12 = k

k = 5/3

(Find Y)

y = (5/3)(2)(3)

y = 10

I hope this helps.

3^x X 9^4 = 3^n
Find n in terms of x

Answers

Answer:

n = x + 8

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

Then

[tex]3^{x}[/tex] × [tex]9^{4}[/tex] = [tex]3^{n}[/tex]

[tex]3^{x}[/tex] ×[tex](3^2)^{4}[/tex] = [tex]3^{n}[/tex]

[tex]3^{x}[/tex] × [tex]3^{8}[/tex] = [tex]3^{n}[/tex]

[tex]3^{x+8}[/tex] = [tex]3^{n}[/tex]

Since bases on both sides are equal, both 3, then equate exponents

n = x + 8

Please help me, if you do not know do not answer please!

Answers

Step-by-step explanation:

Relation 1 :-

For each different inputs we don't have distinct outputs . As in 2nd and 4th . So it's not a function .

Not a function

Relation 2 :-

For same inputs we have distinct outputs . So it's not a function .

Not a Function

Relation 3 :-

For each different inputs we don't have distinct outputs . As in 2nd and 1st . So it's not a function .

Not a function

Relation 4 :-

For same inputs we do have distinct outputs . So it's not a function .

Not a Function

or
Find the slope of the line
y
=
9
5
x

9
5
.

Answers

He answer is -1 because -95/95 is -1

What is the slope of this line?

y=−13x+14

A. -1/3
B. 1/4
C. 1/3

Answers

Answer:

see below

Step-by-step explanation:

y = -13x+14

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is -13 and the y intercept os 14

If you mean y = -1/3x + 1/4

The slope is -1/3 and the y intercep is 1/4

Answer:

-1/3 is the slope because the equation is in a form of y =mx + c, where m is the slope

Step-by-step explanation:

please help and show work

Answers

[tex]x=0=>0^{5} +32 = ( 0 +2 ) ^ 5[/tex]

P/s:    [tex]0^5+32=32 , (0+2)^5=2^5 =32[/tex]

[tex]x=-2=> (-2)^5 + 32 = ( -2 +2 )^5[/tex]

P/s:    [tex](-2)^5 +32 = -32+32=0, (-2+2)^5=0^5=0[/tex]

ok done. Thank to me :>

HELPPPPPP ASAPP PLSssss

Answers

Answer:

I can even see anything can you reupload your answer, please?

Step-by-step explanation:

6=2(y+2) solve for what is y?

Answers

Answer:

y is 1

Step-by-step explanation:

Answer:

y = 1

Step-by-step explanation:

First divide both sides by 2

this gives you 3 = y+2

then subtract 2 from each side giving you y = 1

Please help 10 points for one question
Please don’t answer if you don’t know

Answers

Answer:

Yes.

Step-by-step explanation:

They are similar by the AA (Angle-Angle) Similarity Theorem.

Angle P is congruent to Angle P,

and another angle congruency is <Q and <S OR <R and <T by the

Corresponding

Angle Congruency Theorem.

With two pairs of congruent angles, we can say that Triangle PQR and Triangle PST are similar by the AA Similarity Theorem.

 Find the perimeter. Simplify the answer

Answers

[tex]Perimeter = \\ 9v - 7 + v + 10 + 9v - 7 + v + 10 \\ = 9v - v + 9v + v - 7 + 10 - 7 + 10 \\ = 8v + 10v - 17 - 17 \\ = 18v - 34[/tex]

- BRAINLIEST answerer

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