Use synthetic substitution to find p(3) for p(x)=x^3-2x^2-x+2

Answer:

The ratio of their radius is [tex]2:3[/tex]

Step-by-step explanation:

Volume of cylinder is [tex]\pi r^2h[/tex], where r is radius and h is height

We have

The heights of two cylinders are in the ratio of [tex]5:3[/tex]

[tex]\frac{h_1}{h_2} =\frac{5}{3}[/tex]

The volume are in the ratio [tex]20:27[/tex]

[tex]\frac{V_1}{V_2} =\frac{20}{27}\\\\\frac{\pi r_1^2h_1}{\pi r_2^2h_2} =\frac{20}{27}\\\\\frac{ r_1^2}{ r_2^2}\times \frac{3}{5} =\frac{20}{27}\\\\\frac{ r_1^2}{ r_2^2} =\frac{4}{9}\\\\\frac{ r_1}{ r_2} =\frac{2}{3}[/tex]

The ratio of their radius is [tex]2:3[/tex]

Answer:

2 : 3

Step-by-step explanation:

Let,

Radius of cylinder 1 = R

Radius of cylinder 2 = r

Now,

We know that

Volume of cylinder = πr²h

=> πR²h/πr²h' = 20/27

=> R² × 5/r² × 3 = 20/27

=> R²/r² = 20/27 × 3/5

=> R²/r² = 4/9

=> R/r = √(4/9)

=> R/r = 2/3

=> R : r = 2 : 3

Answer:

-9 degrees

Step-by-step explanation:

-14 + 8 = -6

-6 + 2 = -4

-4 - 5 = -9

The temperature at 6pm dropped down to 5°.

Given is that at 6am one morning the temperature was -14 degrees by noon it rose 8 degrees and then rose another 2 degrees by 3pm. By 6pm the temperature had dropped 5 degrees

We can write -

T{6 AM} = - 14°

T{12 PM} = 8°

T{3 PM} = (8 + 2)° = 10°

T{6 PM} = 10° - 5° = 5°

Therefore, the temperature at 6pm dropped down to 5°.

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Using the arrangement formula, it is found that there are [tex]28! = 3.05 \times 10^{29}[/tex] possible seating arrangements.

The number of possible arrangements of n elements is given by the arrangement formula, as follows:

[tex]A_n = n![/tex]

In this problem, 28 students are arranged on 28 desks, hence [tex]n = 28[/tex], and:

[tex]A_{28} = 28! = 3.05 \times 10^{29}[/tex]

Hence, there are [tex]28! = 3.05 \times 10^{29}[/tex] possible seating arrangements.

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Answer:

Given a function f(x), for determining in what intervals the function is increasing (or decreasing) you can calculate its derivative f'(x) and put it greater than 0 (or smaller than 0). It will give you some intervals.

Answer:

theta is eq to 36.86 value is. 0.5998+0.8=1.399

Using translation concepts, it is found that the parent function was:

The parent function is:

[tex]f(x) = \log{x}[/tex]

The first transformation is:

[tex]\log{x} \rightarrow \log{-x}[/tex]

Then, [tex]\log{-x} \rightarrow \log{-2x}[/tex], which means that it was horizontally compressed by a factor of 2.

Then, [tex]\log{-2x} \rightarrow \log{-2x - 4}[/tex], which means that it was shifted right 4 units.

Finally, 1 was added to the function, which means that it was shifted up 1 unit.

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Answer:

11m + 4n

Step-by-step explanation:

when two numbers with the same variable are added together or subtracted the result is just the numbers added or subtracted. So you can add 6m and 5m to get 11m. and you can subtract 3n from 7n to get 4n

11m + 4n

Answer:

your answer is 30

Step-by-step explanation:

I have completed the test

Answer:

3c =20-2

3c = 18

c = 18÷3

=6

Answer:

Here is Your answer

Step-by-step explanation:

Hope u Like it

C = 2/17

Plz Mark me As Brainiest

Answer:

Cheryl's posts + 7 posts =Kevin Posts

K-C=7 or C+7+K I use them because C is Cheryl and K is Kevin

Operation=subtraction or addition because it could be K-C=7 or C+7+K

Cheryl wrote K-7=C posts

Answer:

Cheryl writes 7 fewer posts than Kevin on a social media site.

Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.

1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. (2 points)

The expression will be P for "of posts Kevin writes." 

2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. (2 points)

 The operation I will use is subtraction so P-7.

3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. (3 points)

Subtraction would be the operation and my expression would be ( P-7 ) which would also be ( 21 - 7 )

Answer:

m = 5

Step-by-step explanation:

Since the triangles are similar in the way shown, then

6/10 = 3/m

6m = 10 × 3

m = 5

Answer:

Step-by-step explanation:

Given,

Perimeter of an equilateral triangle = 14.4 cm

As we know,

Perimeter of an equilateral triangle = 3 × sides (s) = 3s

Therefore,

By the problem,

=> 3s = 14.4 cm

[tex] = > \frac{3s}{3} = \frac{14.4}{3} [/tex]

=> s = 4.8 cm

Hence,

The required side of the given equilateral triangle is 4.8cm(Ans)

Answer:

b)252 is the answer

Step-by-step explanation:

x\42=6

x=6*42

x=252

Answer:

12 miles

Step-by-step explanation:

You would have to divide $26.40 by $2.20 which equals 12 so she traveled 12 miles.

Answer:

2 solutions

Step-by-step explanation:

2 solutions

3/4 - i[tex]\sqrt{47}[/tex]/4

3/4 + i[tex]\sqrt{47}[/tex]/4

Answer:

0.808 you find the difference between the two numbers

Answer:

A. is the answer

Step-by-step explanation:

the LCM of 7 and 3 is 21.

When added it would be 9+14 =23

23/21= 1 2/21

Answer:

Well a midpoint makes the cutter segment or Line in exactly in half. So the two lines cutted are equal. In this case t is the midpoint. PT and TQ are equal. So you have two expressions, make then equal to each other since they are congruent.

6x+4=8x-8

12=2x

x=6

Now PT is 6x+4

So we subsitute x for 6 since x=6

6*6+4

40

PT is 40

Answer:

148*7=1036

Hope This Helps!!!

Step-by-step explanation:

The answer,

148×7 = 1,036

Answer:

B) x^3-x^2-8x-2

Step-by-step explanation:

Expand the equation of g(x) to standard form

f(x) = x^3-4x+2

g(x) = x^2-4x+4

Subtract like terms in the equation and solve for the answer.

f(x) - g(x) = x^3-x^2-4x-4x+2-4

x^3-x^2-8x-2

Answer:

4 candy canes = $ 106

Step-by-step explanation:

Using unitary method to solve this question.

Given that:

12 candy canes = $ 318

Divide both sides by 12

1 candy cane = $318/12

1 candy cane = $26.5

Now, Multiply both sides by 4

4 candy canes = $ 26.5 * 4

4 candy canes = $ 106

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours

Represent the time the Hill family and the Moore family use the sprinkler with H and M.

So, the total time is:

[tex]H + M = 60[/tex]

And the rate is:

[tex]25H + 20M = 1325[/tex]

Make H the subject in [tex]H + M = 60[/tex]

[tex]H= 60 - M[/tex]

Substitute 60 - M for H in [tex]25H + 20M = 1325[/tex]

[tex]25(60 - M) + 20M = 1325[/tex]

Open brackets

[tex]1500 - 25M + 20M = 1325[/tex]

Collect like terms

[tex]- 25M + 20M = 1325 - 1500[/tex]

[tex]- 5M = -175[/tex]

Divide both sides by -5

[tex]M = 35[/tex]

Recall that:

[tex]H= 60 - M[/tex]

So, we have:

[tex]H = 60 - 35[/tex]

[tex]H = 25[/tex]

Hence, Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours

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Answer: 21

Step-by-step explanation:4/4=1  5x4=20  20+1 = 21

Answer:

[tex]\frac{17}{18}[/tex]

Step-by-step explanation:

To solve 4/9 + 9/18 just find the common denominator which is 18.

to get 4/9 to get the denominator of 18 you multiply the denominator by 2:

9 x 2 = 18, what you do to the bottom you do to the top (Multiply the numerator by 2 also) so, 4 x 2 = 8.

Now, add the numerator and keep the denominator the same. 8 + 9 = 17.

8/18 + 9/18 = 17/18

-3x-7+4x+7

Negative -7 and positive 7 will give you 0.

So we're left with x. Therefore, the answer is x.