The volume of a cylinder is 675π cm3. The radius of the base of the cylinder is 5 cm. What is the height of the​ cylinder?

Hey there! I'm happy to help!

Let's plug in these values.

(x+5)(x-7)

We use the FOIL method to multiply the two.

We multiply the Firsts.

x·x=x²

We multiply the Outsides.

-7·x=-7x

We multiply the Insides.

5·x=5x

And we multiply the Lasts.

-7·5=-35

We combine these all.

x²-7x+5x-35

x²-2x-35

Have a wonderful day! :D

Answer:

84 lbs

Step-by-step explanation:

Multiply 14*6 to get the total weight

Answer:

15/28

Step-by-step explanation:

Step-by-step explanation:

3/7 divided by 4/5

Find the reciprocal of 4/5 which is 5/4

Multiply 3/7 by 5/4

3*5= 15 which is the numerator

7*4=28 which is the denominator

so the final answer is 15/28

Answer: Equation 2

Step-by-step explanation:

Equation 1 Square of residual .28 .167 .19

Sum of Square Residual :

( .28 + .167 + .19) = 0.637

Equation 2 Square of residual .005 .110 .09

Sum of Square Residual :

(.005 + .110 + .09) = 0.205

Equation 3 Square of residual .125 .125 .26

Sum of Square Residual :

( .125 + .125 + .26) = 0.51

Equation 4 Square of residual .212 .009 .08

Sum of Square Residual :

( .212 + .009 + .08) = 0.301

Equation 2 is the best potential line of best fit as it has lowest value of sum of square residual. And the best line of fit is one which the sum of Squared error is lowest.

Answer:

x = 20

Step-by-step explanation:

[tex] \because \overrightarrow {CE}[/tex] is an angle bisector of[tex] \angle ACB. [/tex]

[tex]\therefore m \angle ACE = m \angle ECB\\ 2x - 15 = x + 5 \\ 2x - x = 15 + 5 \\ \huge \orange{ x = 20}[/tex]

The value of x from the angle bisector is: x = 20

Angle bisector theorem is a theorem in geometry that states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle. An angle bisector is a ray that divides a given angle into two angles of equal measures.

Thus, we can say that:

∠ECB = ∠ACE

Thus:

x + 5 = 2x - 15

2x - x = 15 + 5

x = 20

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Answer:

Width is 3 units, The Length is 9 units.

Step-by-step explanation:

Three times as much as 3, or 9, is how you find the lengths. This being- 3+3=6 and 9+9=18, 6+18=24, which is the perimeter, therefore 3 and 9 are the dimensions.

Answer:

thousanths place

Step-by-step explanation:

Answer:

4.105

5-hundredths place if I’m correct

Answer:325 - (25 x 6 ) = $175

Step-by-step explanation:

Answer:

-24r + 56

Step-by-step explanation:

To find the area of this rectangle we multiply width and length

8 × (-3r + 7) = -24r + 56

Answer:

0.02<x<0.80

0.4

Step-by-step explanation:

0.02 is equal to 2/100 and 0.8 is equal to 80/100

so you could really choose any number between 0.03 and 0.79

Answer:

Less than 0.8 and greater than 0.02

0.8 > a > 0,02

There are many decimals:

0.7

0.67

0.6

0.5

0.4

0.3

0.2

0.1

0.023

0.021

and many others

Answer:

A) 36.2m  B) 70m

Step-by-step explanation:

5.6m + 5.6m = 11.2 m

12.5 + 12.5= 25  11.2 + 25 = 36.2m

Length x width equals area

12.5m = length and 5.6m= width

multiply 12.5 x 5.6= 70m

Answer:

its A (2, 1 ) → A'(- 1, 2 )

Step-by-step explanation:

took test :)

The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)

Rotation can be stated as the circular movement over the object around the center.

here, we have,

given that,

Vertices of triangle = A(1,1) , B(3,4), C(6,3)

Triangle is rotated counterclockwise about the origin 90°.

In counterclockwise rotation (x,y) becomes (-y,x)

Then

the new coordinates of triangle are A', B', C'

A(1,1) = A'(-1,1)

B(3,4) = B'(-4,3)

C(6,3) = C'(-3,6)

The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)

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Answer:

x=72

Step-by-step explanation:

Start with [tex]\frac{x}{3}[/tex]=24

Using the multiplication property of equality, multiply each side by 3

x=72

Answer:

NO ! For 30, the answer is: No, 30 is not a prime number. The list of all positive divisors (i.e., the list of all integers that divide 30) is as follows: 1, 2, 3, 5, 6, 10, 15, 30.

Step-by-step explanation:

OMG! I just answered the wrong question... so sorry

Answer:

79.8260869565

Step-by-step explanation:

When dividing 1,836 by 23= 79.8260869565

Answer:

x=10000

Step-by-step explanation:

The break even point occurs when costs equal revenue. Write the break-even formula and solve to find

C(x)0.05x−20000.2xx=R(x)=0.25x=2000=10000.

Answer:

[tex] \boxed{\sf f(2a - 3) = 12a - 20} [/tex]

Step-by-step explanation:

Function given:

⇒f(x) = 6x - 2

Substitute 2a - 3 into the function in place of x:

⇒f(2a - 3) = 6(2a - 3) - 2

Expand bracket:

⇒f(2a - 3) = 12a - 18 - 2

Add the like terms:

⇒f(2a - 3) = 12a - 20

For the function   [tex]\frac{10}{x + 5}[/tex]  , we can say

The domain of f(x) is (–∞, –5) U (–5, ∞).

The y-intercept is (0, 2).

There is a vertical asymptote at x = –5.

The end behavior is  x → –∞, f(x) → 0 and x → ∞, f(x) → 0.  

A mathematical relationship from a set of inputs to a set of outputs is called a function.

The domain of a function is the set of all possible inputs for the function.

The range of a function is the set of outputs the function achieves when it is applied to its whole set of outputs

An asymptote is a straight line that can be horizontal, vertical or oblique that goes closer and closer to a curve which is the graphic of a given function.

The given function is  [tex]\frac{10}{x + 5}[/tex]  

Now, if x = -5 then the function becomes undefined.

∴ The domain of the function is all real numbers except -5

So, The domain of f(x) is (–∞, –5) U (–5, ∞).

So, option a is correct.

Clearly, the range of the function includes all real numbers

So, option B is wrong

To find the x-intercept , we will have to solve f(x) = 0,  which is not at all possible for this function.

So, option C is wrong

So, putting x = 0 in the function we get f(x) = 2

So, the y- intercept is (0, 2).

So, option D is correct.

∴ x+ 5 = 0

∴ x = -5

So, there is a vertical asymptote at x = –5.

Hence option E is correct.

We can see,

So, as x tends to -∞, f(x) will tend to 0

So, Option F is correct.

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Answer:

ADEF

Step-by-step explanation:

ADEF

Answer:

The ratio is   k  =   2.76 pounds /  foot

Step-by-step explanation:

From the question we are told that

   For  1 m  height  =>  4.10 kg mass

generally  1 meter = 3.28084 feet  

Also

  1 kg  = 2.20462 pound

  4.10 kg  =  x pounds

So

      [tex]x = \frac{4.10 * 2.20462}{1 }[/tex]

=>    [tex]x = 9.04 \ pounds[/tex]

So

        9.04 pounds  = 3.28084  feet  

         z pounds  =  1 foot

So  

       [tex]z = \frac{ 9.04 * 1 }{ 3.28084}[/tex]

=>   z = 2.76 pounds

So the ratio is in pounds per foot is

      k  =   2.76 pounds /  foot

Answer: B. M= 6

Step-by-step explanation:

4(6-1)-5=2(6)+3

The first part of the equation, 4(6-1)-5, 6-1 is 5 and then you multiply that 5 by 4 and get 20, and subtract 5 from 20 and get 15. The second part, 2(6)+3, 6 x 2 is 12 and then you add 3 which equals 15. 15=15 so the answer is correct

Answer: Zero Property

Step-by-step explanation:

Answer:

13, 25, 37, 41

Step-by-step explanation:

By plugging each x value given for x, you are able to solve for y. Just multiply x by 4 and add 1.

I think first one is the answer

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Answer:

[tex]y = 4[/tex]

Step-by-step explanation:

Because no matter what value x is, y is always 4

Answer:

Unit selling price

$7 $9 $7

Unit variable costs

(4) (5) (1)

Unit contribution margin

$3, $4, $6

With monthly fixed costs of $306,000, the company sells two units of A for each unit of B and three units of B for each unit of C.

Answer: the ABC is up illogic of the Paul Graham that makes the box square root to DC=BA

Step-by-step explanation:

Statements                                                                 Reasons

1. AD ≅ BC; AD ∥ BC                                              1. given

2. ∠CAD and ∠ACB are alternate interior ∠s          2. definition of alternate                                                                                    interior angles

3. ∠CAD ≅ ∠ACB                                                    3. alternate interior                                                                                          angles are congruent

4. AC ≅ AC                                                              4. reflexive property

5. △CAD ≅ △ACB                                                  5. SAS congruency                                                                                                   theorem

6. AB ≅ CD                                                            6. Corresponding Parts                                                                                   of Congruent triangles are                                                                               Congruent (CPCTC)

7. ABCD is a parallelogram                                  7. parallelogram side                                                                                         theorem

Step-by-step explanation:

First, is 0 greater than -2? Correct

Next, is 6 greater than -12? Correct

Is -7 less than -5? Correct

Finally, is -5 less than -8? NERP!!

So C. is incorrect. Or in this case, it is...