g If a snowball melts so that its surface area decreases at a rate of 8 cm 2/min, find the rate at which the diameter decreases when the diameter is 9 cm.

Answers

Answer 1

Step-by-step explanation:

The snowball is spherical in nature

The total surface area of the ball = 4πr²

Or 4π(d/2)²

S = 4πd²/4

S = πd²

d is the diameter of the ball

The rate at which the area is decreasing is expressed as;

dS/dt = dS/dd • dd/dt

dd/dt is the rate at which the diameter is decreasing

dS/dd = 2πd

dS/dt = 2πd • dd/dt

dS/dt = 2π(9) • dd/dt

8 = 18π•dd/dt

dd/dt = 8/18π

dd/dt = 4/9(3.14)

dd/dt = 4/28.26

dd/dt = 0.1415cm/min

Hence the diameter is decreasing at the rate of 0.1415cm/min


Related Questions

Help please for brainliest

Answers

48 I just took the test :) you’re welcome

Two sides of a rectangle iPhones are five and 5/8 feet long other two sides of 6 1/4 feet long what is the perimeter

Answers

Answer:

Here it is!

Step-by-step explanation:

A package of 24 trading cards sells for $4.99 Based on this price, what is the price per card

Answers

Answer:

4.80961924

Step-by-step explanation:

(PLS HELP 50 PTS + BRANLIEST)
A={2, 3, 5, 7, 10} B={1, 4, 6, 8, 9, 10}, C={5, 6, 7}. The universal set U={1, 2, 3, 4, 5, ...10} List the elements of the following:

AUC=
A⋂U=
A⋂Ø=
Ā=
ĀUB=

Answers

Answer:

AUC= {2,3,5,6,7,10}

The second one=A

The third one= empty

I'm sorry. I don't know the others.

the 3 in 43.54 is how much larger than the 3 in 56.37?

Answers

Answer:

10 times larger

Step-by-step explanation:

I used my brain plus I learned it in 5th grade

whats 10+-6. is it

16

-4

4

-16​

Answers

The answer is 4. Adding a negative number is the same as subtracting a positive number, so just think of it as 10-6.

Janisa researched fast-growing industries and occupations, while Rylan researched industries and occupations that have the highest employment. Which most likely describes Janisa and Rylan’s findings? Janisa found that home health care is the fastest growing occupation and services for the elderly is the fastest growing industry, while Rylan found that elementary and secondary school teaching are the occupations with the highest employment and retail sales is the industry with the highest employment. Janisa found that services for the elderly is the fastest growing occupation and home health care is the fastest growing industry, while Rylan found that retail sales is the occupation with the highest employment and elementary and secondary school teaching is the industry with the highest employment. Janisa found that home health care is the fastest growing occupation and services for the elderly is the fastest growing industry, while Rylan found that retail sales is the occupation with

Answers

Answer:

Janisa found that home health care is the fastest-growing occupation and services for the elderly is the fastest growing industry, while Rylan found that elementary and secondary school teaching are the occupations with the highest employment and retail sales is the industry with the highest employment.

Explanation:

We make this conclusion because when we look at all the other options none matches the definition of occupations and industries. However, if Janisa found that home health care is the fastest-growing occupation, and then services for the elderly are the fastest growing industry, it matches what we know an industry and occupation mean.

While, if Rylan found that elementary and secondary school teaching are the occupations with the highest employment, it matches an example of occupation also, and if he discovers that retail sales is the industry with the highest employment it also falls under industry types.

However, the other options mismatched industry examples for occupations.

Answer:I think the answer is C the third option

Step-by-step explanation:

an earthquake with a magnitude of about 2.0 or less is called a micro earthquake it is not usually fell to the intensity of an earthquake with a magnitude of 2 is how many times greater than the intensity of a standard earthquake? M=log I/S
-Answer choice-
2 times greater
10 times greater
100 times greater
1,000 times greater

Answers

Answer: 100 times greater

Step-by-step explanation:

Second question answer is: 1000 times a standard earthquake


What is the solution to the system shown here?
x + y 25
x + y = 5

Answers

Answer:

no solution (parallel lines )=1/1=1/1=5/1

Step-by-step explanation:

Find the smallest whole number multiple of 2 that leaves a remainder of 1 when divided by either 3 or 7.

Answers

Answer:

2 times 8 = 16 divided by 3 leaves a remander of 1

Step-by-step explanation:

The smallest whole number is 22.

What is Least Common Multiple?

Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.

For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.

Given:

First find the LCM of 7 and 3 .

LCM = 3 x 7 = 21

So, we will add remainder 1 (as given) to the LCM .

= 21+ 1

= 22

Learn more about LCM here:

https://brainly.com/question/20739723

#SPJ5

The radius of a volleyball is 0.05 m, calculate its volume.​

Answers

Answer:

0.00052m

Step-by-step explanation:

Step-by-step explanation:

radius of volleyball= 0.05m

volume = ?

we know,

volume=4/3πr^3

=4/3×0.00039

=0.0005m^3 #

RS = 4x – 9, ST = 19, RT = 80 – 14

Equation:

82 – 14

RS

RT

Answers

Step-by-step explanation:

The expressions are not properly written

Given

RS = 4x – 9

ST = 19

RT = 8x – 14

Based on the given parameters, the addition postulate below is true

RS+ST = RT

Substitute

4x-9+19 = 8x-14

collect like terms

4x-8x = -14-19+9

-4x = -33+9

-4x = -24

x = -24/-4

x = 6

Get RS:

RS = 4x-9

RS = 4(6)- 9

RS = 24-9

RS = 15

Get RT:

RT = 8x - 14

RT = 8(6)-14

RT = 48-14

RT = 34

The total cost for 22 gallons of gas is $68.30. How many dollars per gallon of gas did you spend?

Answers

Answer:

$3.10 per gallon

Step-by-step explanation:

Take the total cost and divide by the number of gallons

68.30/22

3.1045454545

Round to the nearest cent

$3.10 per gallon

Answer:

$3.10 per gallon

Step-by-step explanation:

You just have to divide $68.30 by 22. (And round)

$68.30 divided by 22 = 3.10

So, you answer will be 3.10

= $3.10 per gallon

Hope this helps! And happy Halloween x-x

^w^

what is the greatest common factor of 20, 50, and 25

Answers

Answer:

Step-by-step explanation:

The greatest  common factor of 20, 50, and 25 is 5.

Given that,

The numbers are 20,50 and 25.

Based on the above information, the calculation is as follows:

[tex]20 = 5\times 4\\\\ 50 = 5\times 10\\\\ 25 = 5\times 5[/tex]

So here the common factor is 5

Learn more: https://brainly.com/question/4626564?referrer=searchResults

in order to solve the following sye of equations by subtraction, which of the following could you do before subtracting the equations so that one variable will be eliminated when you subtract them? 4x-2y=7. 3x-3y=15

Answers

Answer:

dnhyfnvnvghdkd

Step-by-step explanation:

duhfgjfvnhfuvejfgkejiu

15 men can dig a trench of 90 m long in
3 hours. How long will it take 16 men
to dig a trench 48 m long?​

Answers

Answer:

1.5 hours= 1hr 30m

Step-by-step explanation:

90÷15=6

6÷2=3

48÷16=3

3÷2=1.5

Mark me as brainliest if u found it helpful

Using proportional variables, it is found that it will take 1.5 hours for 16 men  to dig a trench 48 m long.

The time needed is direct proportional to the length of the trench, and inverse proportional to the number of men, thus, the equation is:

[tex]t = k\frac{l}{m}[/tex]

In which:

t is the time.k is the constant of proportionality.l is the length of the trench.m is the number of men.

15 men can dig a trench of 90 m long in 3 hours, thus [tex]m = 15, l = 90, t = 3[/tex], this is used to find k.

[tex]t = k\frac{l}{m}[/tex]

[tex]3 = k\frac{90}{15}[/tex]

[tex]6k = 3[/tex]

[tex]k = \frac{3}{6}[/tex]

[tex]k = 0.5[/tex]

Thus:

[tex]t = 0.5\frac{l}{m}[/tex]

16 men, 48m long, thus [tex]l = 48, m = 16[/tex], and the time is:

[tex]t = 0.5\frac{l}{m} = 0.5 \times \frac{48}{16} = 0.5(3) = 1.5[/tex]

It will take 1.5 hours for 16 men  to dig a trench 48 m long.

A similar problem is given at https://brainly.com/question/14876746

Write the set that represents the set of people surveyed who subscribe to at least one of the two news sources given.

Answers

Complete  Question

The complete question is shown on the first uploaded image

Answer:

The correct option is  d

Step-by-step explanation:

From the question we are told that

   The set of people in a certain community who were asked if they subscribe to an information source is  U

    The  set that subscribes to The Daily Informer is  D

      The set that subscribe to News Magazine is  N

Here the universal set is  U

Now the word at least here means that the person can subscribe to one or two of the information source , but the person  cannot subscribe none of the information source

Now to get the set that represents the set of people surveyed who subscribe to at least one of the two news sources , we need to carry out a union operation on the sets representing the two news source , this can be mathematically represented as

      [tex]L  =  N \  u \  D[/tex]

So the sets that will contain all the people in the community that subscribe to at least one of the news source is  L      

     

can yall help me out please.​

Answers

Answer:

which one equals 12? option C

Step-by-step explanation:

Which of the following numbers can be expressed as repeating decimals?

5 over 7 , 4 over 5 , 7 over 9 , 5 over 8 help plz

Answers

Answer:

7/9

Step-by-step explanation:

When 7/9 is put as a decimal then its 0.777777. This makes it a repeating decimal.

Answer:
7 over 9 would be expressed as the repeating decimal.

Explanation:
7 divided by 9 is 0.777777778

Answer these two questions correctly and I’ll give brainlist ❤️.

Last month , Carter ran 48 miles. This was 60% of his goal. How many miles did cater set as his goal.


Lily wants to buy a tablet that cost $88. Her dad said that he would pay 25% of the cost. How much money will her father contribute towards the tablet?


I will be giving out brainlist if the answer you submitted was correct❤️.



Posting this again please only answer if you actually know the answer and stop stealing my points :((

Answers

Answer:

1. 80 miles

2. $22

Step-by-step explanation:

1. i did 48 divided by 60 and got .8

then i multiplied .8 by 100 and got 80

2. i did 88 multiplied by .25

Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 2525 dollars and a standard deviation of 88 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 2828 dollars in interest

Answers

Complete Question

Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 25 dollars and a standard deviation of 8 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 28 dollars in interest

Answer:

0.354

Step-by-step explanation:

We solve for z score in this question.

The formula is given as:

z = (x-μ)/σ, where

x is the raw score = $28

μ is the population mean = $25

σ is the population standard deviation = $8

z= 28 - 25/8

z = 0.375

P-value from Z-Table:

P(x<28) = 0.64617

P(x>28) = 1 - P(x<28)

= 1 - 0.64617

= 0.35383

Approximately to 3 decimal places = 0.354

The proportion of the bank's Visa cardholders pay more than 28 dollars in interest is 0.354.

The growth of a sample of bacteria can be modeled by the function b(t) =100(1.06)^t where b is the number of bacteria and t is the time in hours. What is the number of total bacteria after 3 hours? Round to the nearest whole number.

Answers

Answer:

There are 119 bacteria after 3 hours.

Step-by-step explanation:

Let be [tex]b(t) = 100\cdot 1.06^{t}[/tex], where [tex]t[/tex] is the time, measured in hours, and [tex]b(t)[/tex] is the number of total bacteria, dimensionless. The number of total bacteria after 3 hours is found after evaluating the function at given function:

[tex]b (3) = 100\cdot 1.06^{3}[/tex]

[tex]b(3) = 119.102[/tex]

We rounded to the nearest preceeding whole number, since number of bacteria represents a discrete set. There are 119 bacteria after 3 hours.

The mean useful life of car batteries is 48 months. They have a standard deviation of 3. Assume the useful life of batteries is normally distributed. a. Calculate the percent of batteries with a useful life of less than 45 months. (Round your answer to the nearest tenth percent.) b. Calculate the percent of batteries that will last longer than 54 months. (Round your answer to the nearest tenth percent.)

Answers

Answer:

a) 15.9%

b) 2.3%

Step-by-step explanation:

We solving using z score formula. This formula is given as:

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

a. Calculate the percent of batteries with a useful life of less than 45 months. (Round your answer to the nearest tenth percent.)

x = 45, μ = 48, σ = 3

z = 45 - 48/3

= -1

Probability value from Z-Table:

The probability of batteries with a useful life of less than 45 months so

P(x<45) = 0.15866

Converting to percentage

0.15866 × 100 = 15.866

Approximately to the nearest tenth of a percent = 15.9%

b. Calculate the percent of batteries that will last longer than 54 months. (Round your answer to the nearest tenth percent.)

x = 58, μ = 48, σ = 3

z = 58 - 48/3

= 2

Probability value from Z-Table:

P(x<54) = 0.97725

P(x>54) = 1 - P(x<54)

= 0.02275

The probability of batteries that will last longer than 54 months is 0.02275

Converting to percentage

0.02275 × 100

= 2.275%

Approximately to the nearest tenth of a percentage = 2.3%

I’m stuck on this question, can someone help me please?

Answers

Answer:

I think its 110

Step-by-step explanation:

Rewrite the equation in standard form.

y=2x-10

Answers

Answer:

The equation in standard form:

2x-y-10=0

Day
Distance
(miles)
1
Tuesday
Wednesday
Thursday
214
1%
Jesse is training for his track meet on Saturday. This chart shows the number of miles he ran on Tuesday, Wednesday, and Thursda
How many mites did Jesse run on these 3 days

Answers

Answer:

This is very unclear however if your miles are 214 and you need 1% of the miles you can multiply it by 0.01 and the answer would be 2.14 miles


Two triangles are shown to be congruent by identifying a combination of translations, rotations, or reflections that move one figure onto the other. If ΔACB ≅ ΔPRQ, which angle must be congruent to ∠C? Why?
A) ∠Q because corresponding parts of congruent triangles are congruent.
B) ∠R because corresponding parts of congruent triangles are congruent.
C) ∠Q because the triangles are isosceles and the base angles are congruent.
D) ∠R because the triangles are isosceles and the base angles are congruent.

Answers

Answer:

C. ∠Q because the triangles are isosceles and the base angles are congruent.

May I have brainliest please? :)

Answer:

B is the answer

Step-by-step explanation:

Cuz i just got it wrong because of the Bozo above me . . . all love  

what is 1x1x1x1xx2x3xx4x6xx8xx0x9x-x8x76xx54xx6x45c3xx6357x63x

Answers

Answer:

The answer to 1x1x1x1xx2x3xx4x6xx8xx0x9x-x8x76xx54xx6x45c3xx6357x63x

is 4,727,808

Step-by-step explanation:

Regina's teacher recently gave her a homework assignment on solving equations. Since she has been ti
she decided to use the assignment as an opportunity to model a savings plan.
She created this equation to model the situation. In it, y represents the total amount saved for the new
she has now, 40 is the amount of money she saves each month for the phone, and x represents the num
a regular amount:
74 + 40x=y.
She then solved the equation to determine how many months she'd need to save to have enough to pur
work, and select the error.
Justification
1: given
2: subtraction property of equality
3: simplification
4: multiplication property of equality
5: simplification
6: substitution, y = 834
7: simplification
Step 1:
Step 2:
Step 3:
Step 4:
74 + 40x=y
74 + 40x - 74 = y- 74
40x = y-74
40.5 y - 74
40 =
40
y - 74
X= 40
834 - 74
X = 40
Step 5:
Step 6:

Answers

Answe

Step-by-step explanation:

need brainest pls

What is the slope of the line perpendicular to y = 4x + 2

Answers

Answer:

slope is -1/4

Step-by-step explanation:

y = 4 x + 2

Use the equation y = m x + b

So m=4

And MPerpendicular=-1/4

Hope this helps!!

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