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

pleaseeeeeeeeee helppppppppp meeeeeeeeeee

Answers

Answers:

FunctionNot a functionFunctionNot a function

========================================

Explanation:

If x repeats itself, then we don't have a function. For instance, relation 2 has the x value -4 show up twice. That input leads to multiple outputs which is why we don't have a function. Relation 4 is a similar story (this time the input 'u' shows up twice).

Relations 1 and 3 don't have this issue, so they are functions.

1) If v2x - 4 = 13x – 8, what is the value of x?
A) 1.
B) 2
4
D) 8

Answers

Step-by-step explanation:

is it really v2x?? or smthg else

I GIVE BRAINLIST

which graph represents the solution set of the system of inequalities

y>_1/3x-3 y<-3x-3

Answers

need points so

Step-by-step explanation:

brian says that 8n+2=82 when n=1 explain why he is incorrect

Answers

The answer is 83 because n=1 so 80+2=82+1=83

These are already solved but can someone explain how we got them, steps please! I really need it..

Answers

Answer:

1A,) 5x 2 and 3x are unlike terms and 9x 3 and 2x 2 are also unlike term

* so you have to put the like terms together to solve the equation

*then you say 9x 3 first because it is the biggest number (I think)

* then you put 5x 2 and 2x 2 together and 3x and x together too

* then you will get : 9x 3+ (5x 2 + 2x 2) + (3x -x)

:9x 3 + 7x 2 +2x

Note:

in algebra 3x -x is like saying 3-1 aka x is seen as 1 but the one is invisible

haha

and unlike terms are terms that do not have the same variables or powers while like terms are terms that have the same variables or powers

Pls solve this, it’s math


And only if you know the answer pls

Answers

Since the unit circle has a radius of 1 we know that r = 1 and that our angle is 60 degrees. Using sin and cos functions we can then find the x and y coordinates of point A. since  [tex]cos(\alpha ) = \frac{x}{1}[/tex] and [tex]sin(\alpha ) = \frac{y}{1}[/tex] (where [tex]\alpha[/tex] = the angle)

[tex]A = (x,y) = (cos(a),sin(a))[/tex] because of the identity that cos(a) = x and sin(a) = y

Using the angle and the previously described identity we can find the coordinates with cos(60) = x = 1/2 and sin(60) = y = [tex]\frac{\sqrt{3} }{2}[/tex] to get A =(x,y) = [tex](\frac{1}{2},\frac{\sqrt{3} }{2})[/tex].

From here we can work backwards and find that BC = x = [tex]\frac{1}{2}[/tex] and that AC = y =[tex]\frac{\sqrt{3} }{2}[/tex] and finally we know that AB = r = 1 because it is a radius of the unit circle and must be 1.

-This probably isn't the way you were taught to solve this problem, but it is how we do it in physics and real-life.

Solve the system of equations using substitution.
X + y = 13
x - y = 5
Please help

Answers

Answer:

x=9

y=4

Step-by-step explanation:

What is the slope of the line?

7x + 2y=5

A. 7/2
B. -7/2
C. -2/7
D. 2/7

Answers

The correct answer is B.
You convert from standard form to slope intercept form

Answer:

B) -7/2

Step-by-step explanation:

You would have to convert to slope-intercept form.

[tex]y=mx+b\\[/tex]

7x+2y=5

2y= -7x+5

y= -7/2x+5/2,

m= -7/2 = slope

D) No, you are too afraid of sharks to even attempt the dive!
8) You are interested in retrieving a souvenir from a shipwreck located 115 feet below the water. You
do not have diving equipment, so your dive is limited by the equation y=0.05x2 - 4x – 38
Assumming you are able to retrieve your souvenir, how long do you have to hold your breath until
you resurface?
A) almost 90 seconds B) 38 seconds
C) almost 2 minutes D) a minute and 10 seconds

Answers

Answer:

B. 38 seconds

I need help with question 5

Answers

Answer:Hi!

where is the question?

       

Step-by-step explanation:

The table shows the decay rate for a certain radioactive material over time. In this context, what does the y-intercept represent?
At 100 hours, there are 0 grams of the substance remaining.
At 100 hours, there are 100 grams of the substance remaining.
At 0 hours, there are 100 grams of the substance remaining.
At 0 hours, there is 1 gram of the substance remaining.

Answers

Answer:

At 0 hours, there are 100 grams of the substance remaining.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

I just did it on ed

Shanti wrote the predicted values for a data set using the line of best fit y = 2. 55x â€" 3. 15. She computed two of the residual values. A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 0. 7, 2. 3, 4. 1, 7. 2. The third column is labeled predicted with entries negative 0. 6, 1. 95, 4. 5, 7. 2. The fourth column is labeled residual with entries negative 1, 0. 35, a, b. What are the values of a and b?.

Answers

The residual column is given by the difference between the given values

and the values from the fitted line.

The values of a and b are; a = -0.4 and b = 0.18

Reasons:

The line of best fit equation is; y = 2.55·x - 3.15

The 4-column table is presented s follows;

[tex]\begin{tabular}{|c|c|c|c|}\underline{x}&\underline{Given}&\underline{Predicted}&\underline{Residual}\\1&-0.7&-0.6&-0.1\\2&2.3&1.95&0.35\\3&4.1&4.5&a\\4&7.2&7.02&b\end{array}\right][/tex]

Required:

The values of a and b

Solution;

The residual is given by the difference between actually observed value and the predicted value

RESID = [tex]\mathbf{y_i}[/tex] - [tex]\mathbf{x_i}[/tex]·b

Where;

[tex]y_i[/tex] = The given value at point i

[tex]x_i[/tex]·b = The predicted value at point i

Therefore;

At x = 1, the residual = -0.7 - (-0.6) = -0.1

At x = 2, the residual = 2.3 - 1.95 = 0.35

At x = 3, the residual = a = 4.1 - 4.5 = -0.4

Therefore;

a = -0.4

At x = 4, the residual = b = 7.2 - 7.02 = 0.18

Therefore;

b = 0.18

Learn more about line of best fit here:

https://brainly.com/question/1504320

(4 x 100,000) + (6 x 10.000) =

Answers

Answer:

answer is 400060

have a good day!!

If it's help pls give me Brainliest

tysm

Answer:

4000,060

answer explanation : when you add 4 times 100,000 ypu get 400,000 and now you get 400,000 and now you are going to muptiple 4,000,6 and 10.000 which is equal to 4,000,060


What is the answer

Answers

Answer:

It's a im taking the same test lol

Step-by-step explanation:

helpppppppppppppppppppppppppppp

Answers

What do you need help with? Are you in danger?

write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

y = 3/5x+1

Step-by-step explanation:

y intercept - (0,1), so b=1

Slope = rise/run = 3/5, so m = 3/5

Our Answer is y = 3/5x+1

kelly has 47 model cars. Jamal has 58 model cars. Yesterday , jamal traded 8 model cars to kelly for 14 of her cars. How many cars did kelly have before the trade

Answers

Answer:

33 cars please give Brainliest

A jar contains 6 red marbles numbered 1 to 6 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event.

Answers

Answer:

Step-by-step explanation:

a)

p

(

red marbles

)

=

6

6

+

8

p

(

red marble

)

=

3

7

b)

p

(

o

d

d

n

u

m

b

e

r

s

)

=

3

+

4

6

+

8

p

(

o

d

d

n

u

m

b

e

r

s

)

=

1

2

c)

p

(

red marbles or odd numbers

)

=

p

(

red marbles

)

+

p

(

odd numbers

)

p

(

red marbles and odd numbers

)

p

(

red marbles or odd numbers

)

=

6

14

+

7

14

3

14

p

(

red marbles or odd numbers

)

=

10

14

d)

p

(

Blue marbles or even number

)

=

p

(

Blue marbles

)

+

p

(

even numbers

)

p

(

blue marbles and even numbers

)

p

(

Blue marbles

)

=

8

14

p

(

even numbers

)

=

7

14

p

(

Blue marbles or even number

)

=

8

14

+

7

14

4

14

p

(

Blue marbles or even number

)

=

11

14

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What is Probability in Math? - Definition & Overview

from

Chapter 24 / Lesson 7

49K

The formula of probability is possible choices over the total number of options. Discover the definition of probability and get an overview of its calculation and application in math.

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Consider the experiment of drawing two cards...  

Listed below is a table that gives the two-way...

Randomly select one student from these 500...

In a box, there are 18 red, 14 blue, and 16...

What is the solution to the equation 1/4x−3/4=1/2, given the replacement set {−1, 1, 5} ?

Answers

Answer:

x=5

Step-by-step explanation:

I took the test. Hope this helps

The solution of the given equation is when the x = 5.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the equation 1/4x−3/4=1/2, also the replacement set {−1, 1, 5}

First, substitute the values from the given set;

When x = -1

1/4x−3/4=1/2

1/4(-1) − 3/4 = 1/2

-1/4 - 3/4 = 1/2

-4/4 = 1/2

-1= 1/2

This is not the solution to the given equation.

When x = 1

1/4x−3/4=1/2

1/4(1) − 3/4 = 1/2

1/4 - 3/4 = 1/2

-2/4 = 1/2

-1/2 = 1/2

This is not the solution to the given equation.

When x = 5

1/4x−3/4=1/2

1/4(5) − 3/4 = 1/2

5/4 - 3/4 = 1/2

2/4 = 1/2

1/2 = 1/2

This is the solution to the given equation.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

3 shirts for 9.99 2 pairs of shorts for 14.95 a bathing suit for 24.50 the sales tax was 7% how much did she spend in all ?​

Answers

Answer:

If a shirt is on sale for 50% off, and you have another offer that gives you an "additional 20% off the sale price", does that mean you get a total of 70% off? Not usually. If the shirt was $20, then the SALE price would be $10 and the additional 20% would apply to the SALE price of $10 instead of the original price of $20. This isn't too bad when the sales are nice even percentages, but when it gets more complicated, you can use this calculator to find out the final cost (sales tax not included).Step-by-step explanation:

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

9
5
.

Answers

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

Without calculating, explain how you can tell if the value of the expression (-2.37) - (.7.91) - (2.45)?

Answers

Answer:

33343555

4

3

4

34

2354555444

5224

34

32555555

555

5

32

55233=3=44

Step-by-step explanation:

Solve for x.

45(x−310)=−214

Enter your answer as a mixed number in simplest form in the box.
x =

Answers

305 11/45

Step by step explanation

The solution to the given equation is x = [tex]305\frac{11}{45}[/tex].

The given equation is 45(x-310)=-214.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

By using distributive property, we get

45x-13950= -214

45x=-214+13950

45x=13736

x=13736/45

x=[tex]305\frac{11}{45}[/tex]

Therefore, the solution to the given equation is x = [tex]305\frac{11}{45}[/tex].

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ6

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?​

Answers

Answer:

16

Step-by-step explanation:

Because 25 - 9 = 16

The sum of two numbers is 91 the difference of the two numbers is 67 what are the two numbers let x be the larger number and y be the smaller number

Answers

Answer:

x = 79

y = 12

Step-by-step explanation:

x + y = 91

x - y = 67

=> x = (91 + 67) : 2 = 79

=> y = (91 - 67) : 2 = 12

P/s: I don't know how to explain what I just did actually, since we learn how to solve this kind of problem in primary at my place already so it's like a blurry memory about how I learn it. If the math problem is to find 2 numbers, knowing their sum and the difference already, this is how to solve it:

=> Larger number: (Sum + difference) : 2

=> Smaller number: (Sum - difference) : 2

If you can memorize it, good for you! If not then it's alright, this is just a nice tips from me to you. You'll have more advantages in solving these kind of math problem if you can memorized these 2 formulas.

witch rational number is between -11/15 and -5/6?
answers to chose from -1, -7/10, -4/5 and -13/15

Answers

Answer:

-4/5

Step-by-step explanation:

To find this we can look for the [tex]LCD[/tex] between all the numbers

Here are our [tex]LCD's[/tex] (Least Common Denominator)

-22/30 and -25/30

It wouldn't be -1 because it isn't in between those numbers

It isn't -7/10 because if we turn it into our [tex]LCD[/tex] it would be -21/30 which isn't in between those numbers

It is -4/5 because if we turn in into our [tex]LCD[/tex] it would be -24/30 which is between those numbers

This means we have our right answer we know our last one is incorrect

3 2/9 x -1 5/7 make an improper fraction, multiply, then make it a simplified mixed number.

Answers

Answer:

-145/63

Step-by-step explanation:

67 is 0.12% of what number?

Answers

we have 67/x . 100% = 0.12 %

so x = 67.100%/0.12% = 55833,(3) ≈ 56

ok done . Thank to me :>

How do I check my answer?!?? 6.78J-5.2=4.33J+2.15. J=3

Please answer !

Answers

you tried plugging in 3 for J on both sides of the equation

Find the length of the third side. If necessary, write in simplest radical form.

Answers

Answer:

9

Explanation:

9 root 2 = root 81 x root 2 = root 162
Root 162 = 12.7279220614
9^2 + b^2 = 12.7279220614^2
81 + b^2 = 162
b^2 = 81
Root both
B = 9

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