A constant volume of cookie dough is formed into a cylinder with a relatively small height and large radius. When the cookie dough is placed into the oven, the height of the dough decreases as the radius increases, but it retains its cylindrical shape. At time t, the height of the dough is 8 mm, the radius of the dough is 18 mm, and the radius of the dough is increasing at a rate of 2 mm per minute.

Part A: At time t, at what rate is the area of the circular surface of the cookie dough increasing with respect to time? (5 points)

Part B: At time t, at what rate is the height of the dough decreasing with respect to time?

Answer:

Step-by-step explanation:

Sample Response: The ratio of girls to students represents a fraction because it is a part-to-whole comparison. The ratio of boys to girls is not a fraction because it is a part-to-part comparison.

Answer:

A i guess

Step-by-step explanation:

23 + 4 ⋅ 8

I got the answer 55 so see what is close to 55

Answer:

2 ^ 3 + 4 * 8 = 40

Step-by-step explanation:

So going by the order of operations, PEMDAS,

There are not parenthesis so we can skip that part.

exponents on the other hand we have 2^3. Don't be fooled. It's not 2 * 3. What you have to do is multiply 2 by itself 3 times. So 2 * 2 * 2 = 8. Step one Done!

The M in PEMDAS is multiplication! So we solve that part next! 4 * 8 = 32. Step 2 Done!

Now for the final step, for A in PEMDAS you have to add both sums together. 8 + 32 = 40

Final answer: 40

I hope this helps! <3

Answer:

a) Function 1 has the greatest y-intercept

b) Only function 2 has a slope less than -2

c) Function 4 has the least steep slope

Answer:

1. Function 1

2. Function 2

3. Function 4

Step-by-step explanation:

y-intercept:   Function 1: 4, Function 2: 1, Function 3: -5, Function 4: -2

- Function 1 has the highest y-intercept

slope less than -2:  Function 1: 2, Function 2: -4, Function 3: 5, Function 4: -1

- Function 2 has a slope lower than -2

least steep graph: Function 1: steepness 2, Function 2: steepness 4, Function 3: steepness 5, Function 4: steepness 1

- Function 4 has the steepest graph

Answer:

1pound of granola= $3.25

g pound of granola=g*3.25

=3.25g$

1 pound of flour = 0.74$

f pound of flour = f*0.74

= 0.74f$

The expression to determine the total cost of buying the above items= (3.25g+0.74f)

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

(-6)-(-2)= -4

(-10)-(-6)= -4

therefore there is a 4 number Gap between them:

(-10) + (-4) = -14

Answer:

x=1,-3

Step-by-step explanation:

Answer:

35 and 25.

Step-by-step explanation:

x+y=60

x-y=10

Subtract eq1 by eq2

x-x+y-(-y) = 60-10

2y=50

y=25.

x+25=60

x=35

Hope this helps :D

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Answer:

-$5.50>x>$20

Elena has more than -$5.50 but less than $20.

Step-by-step explanation:

Ok, so the question says that Elena has -$5.50 in her account. That means that she owes someone ( the bank) $5.50.

Elena then mows the lawn which may have paid off her debt. But we don't know that for sure.

All they give us is that Elena has less than $20 in her bank account.

So your answer may look like this:

-$5.50>x>$20

Elena has more than -$5.50 but less than $20.

Elena earned, amount more than -$5.50 and less than $20 by mowing the lawn.

If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.

For example, x>3 (x should be greater than 3)

Given,

Account balance of Elena with her parents = -$5.50.

Which means she is in debt of $5.50.

Elena then  adds a certain amount of money to her balance by mowing the lawn,

which may have paid off her debt, that is not sure.

But,

Account balance of Elena after mowing the lawn is more than - $5.50 less than $20.

Let the money Elena earned by Elena earned mowing the lawn  = x

Then,

Possible amount she earned mowing the lawn = -$5.50 < x <$20.

Hence, Possible amount Elena earned mowing the lawn is

between -$5.50 and $20 = -$5.50 < x < 20.

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Answer:

the first one on the list because it said refect

Answer: 1 625.5cm or 16.255m

Step-by-step explanation:

convert all m measurements into cm by multiplying, add all the cm measurements together. this equation is 12.5cm+ 475cm+ 245cm+ 587.5cm+ 305.5cm= 1625.5cm.

convert the cm measurements back to m measurements (i only assume because you said . m at the end)

The total amount of fabric she cut is  17.255 m .

The total length of the fabric can be determined by adding the length of the different pieces. Addition is determining the total value or summing two or more numbers.

In order to add the different lengths, the lengths have to be in meters.

100cm - 1 meter

475cm = 475 / 100 = 4.75m

245cm = 245 / 100 = 2.45m

Now that all the lengths are in the same units, they can now be added together; 1.125 + 5.875 + 3.055 + 4.75 + 2.45 = 17.255 m

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Answer:

a=92  b=37  c=51

Step-by-step explanation:

a= 7x-6

b=3x-5

c=4x-5

7x-6+3x-5+4x-5=180

14x-16=180

14x=196

x=14

Answer:

for the first box the answer is 4x but I dont know the y intercept

Step-by-step explanation:

get 2 points the do y2-y1/x2-x1 then you get your x

Answer:

81/4

Step-by-step explanation:

Given the equation x^2 – 9x + 38 = 0

Subtract 38 from both sides

x^2 – 9x + 38 - 38= 0 - 38

x^2 - 9x = -38

Next is to complete the square, to do this  we will add the square of the half of coefficient of x to both sides as shown;

Coefficient of x is - 9

Half of -9 will be (-9/2)

Squaring the result will give (-9/2)² = 81/4

Hence the number that would have to be added to "complete the

square" is 81/4 to have;

x^2 - 9x + 81/4= -38 + 81/4

(x-9/2)² = -38 + 81/4

Hence the required value is 81/4

Answer:

Is g(x)

Step-by-step explanation:

We search the roots of the function on this way

(x-1)^2 (x+2) =0

(x-1)^2 =0

x-1=[tex]\sqrt{0}[/tex]

x=1  ////

(x+2)=0

x=-2 ////

So (1,0) and (-2,0) are the roots of the function (as the image)

Answer: $2,904

1,100x4 than multiply by .22 then with that you multiply by 3.

$726 money will the employment agency receive for placing Cherie in her new job.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Cherie accepted a job through an employment agency

The job pays $1,100 weekly.

The agency charges 22% of her first three months, pay.

22% of 1100 we have to calculate.

First we have to convert 22% to decimal

22/100=0.22

0.22×1100=242

Now for three months we need to calculate.

3×242

$726

Hence, $726 money will the employment agency receive for placing Cherie in her new job.

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Answer:

Commutative Property of Multiplication. Associative Property of Multiplication.

Step-by-step explanation:

Answer:

a

 [tex]\frac{\alpha }{2} = 2.5 \%[/tex]

b

  [tex]N = 25[/tex]

Step-by-step explanation:

From the question we are told that

   The number of bootstrap samples is  n =  1000

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally the percentage of values that must be chopped off from each tail  for a 95% confidence interval is mathematically evaluated as

      [tex]\frac{\alpha }{2} = \frac{0.05}{2} = 0.025 = 2.5 \%[/tex]

=>    [tex]\frac{\alpha }{2} = 2.5 \%[/tex]

Generally the number of the bootstrap sample that must be chopped off to produce a 95% confidence interval is

      [tex]N = 1000 * \frac{\alpha }{2}[/tex]

=>   [tex]N = 1000 * 0.025[/tex]

=>   [tex]N = 25[/tex]

Answer:

Step-by-step explanation:

Hey

Answer:

r = 21/3 ( Assuming the question is (-4/3) * r = 7)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first term (a) = 9

the 37th term is what we want (n = 37)

d = - 6

t_37 = 9 + (n - 1) * (-6)

t_37 = 9 + 36 * - 6

t_37 = 9 - 216

t_37 = - 207

Answer:

true

Step-by-step explanation:

The sum of interior angles is 180 degrees (Triangle Angle Sum Theorem). All interior angles of a triangle are more than 0° but less than 180°. The bisectors of all the three interior angles intersect inside a triangle at a point called the in-center, which is the center of the in-circle of the triangle.

Answer:

Option C

Step-by-step explanation:

Since, Price of cribs (P) are proportional to the proportional to the number of cribs (N) sold,

P ∝ N

P = kN

Here 'k' is the proportionality constant

To get the value of proportionality constant,

Since, value of 10 cribs is $1320

1320 = k(10)

k = 132

Therefore, equation will be

P = 132N

Option A

If number of cribs = 6

P = 132(6) = $792

False.

Option B

For N = 22

P = 132(22) = $2904

False.

Option C

For N = 40

P = 132(40) = $5280

True

Option D

For N = 55

P = 132(55) = $7260

False

Option E

For N = 80

P = 132(80)

  = $10560

False

Option F

For N = 250

P = 132(250)

  = $33000

False

If the given options have been written correctly only one option, Option (C) is correct.

Answer:

OK

Step-by-step explanation:

LOL SO WHAT I . DID

IS ik the qudrents and just ask siri maybe she will help but i got qudrent 3

Answer:

-4, 6

Step-by-step explanation:

[tex]2x^2 -4x - 48 = 0 \\ \\ 2( {x}^{2} - 2x - 24) = 0 \\ \\ {x}^{2} - 2x - 24 = 0 \\ \\ {x}^{2} - 6x + 4x - 24 = 0 \\ \\ x(x - 6) + 4(x - 6) = 0 \\ \\ (x - 6)(x + 4) = 0 \\ \\ x - 6 = 0 \: \: or \: x + 4 = 0 \\ \\ x = 6 \: \:o r \: \: x = - 4 \\ \\ x = - 4, \: \: 6[/tex]

The probability that a cat will have at most 4 kittens is to be considered as the 0.83.

= Probability of 2 + Probability of 3 + Probability of 4

= 0.20 + 0.35 + 0.28

= 0.83

Hence, The probability that a cat will have at most 4 kittens is to be considered as the 0.83.

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The probability that a cat will have at most 4 kittens is 0.83

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the number of kittens in the litter be = A

Now , when A = 2

The probability distribution is = 0.20

Now , when A = 3

The probability distribution is = 0.35

Now , when A = 4

The probability distribution is = 0.28

Now , when A = 5

The probability distribution is = 0.15

And , the probability that a cat will have at most 4 kittens is calculated by

P ( x ≤ 4 ) = P ( 2 ) + P ( 3 ) + P ( 4 )

               = 0.20 + 0.35 + 0.28

               = 0.83

Therefore , the probability that a cat will have at most 4 kittens is 0.83

Hence , The probability that a cat will have at most 4 kittens is 0.83

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9514 1404 393

Answer:

  d.  50 x 10^-2 m​

Step-by-step explanation:

"c" is the SI prefix for "centi-" meaning one hundredth, or 10^-2. Then ...

  50 cm = 50×10^-2 m