6. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.) 7. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.)

Answers

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

6a

    [tex]V(3) =  113.112[/tex]

6b

     [tex]V(\frac{3}{2})  = 14.139  [/tex]

6c

   [tex]V(2r) =  33.514r^3[/tex]

7a

  [tex] h(5) = 0 [/tex]

7b

    [tex] h(t) = -5.76 [/tex]

7c

[tex] h(x+5) = x(x+5)[/tex]

Step-by-step explanation:

Considering the question 6

The function given is [tex]V(r) = \frac{4}{3} \pi r^3[/tex]

For  V(3) we have  

        [tex]V(3) =  \frac{4}{3} \pi 3^3[/tex]

       [tex]V(3) =  \frac{4}{3} * 3.142 * 3^3[/tex]

       [tex]V(3) =  113.112[/tex]

For  [tex]V(\frac{3}{2})[/tex]

        [tex]V(\frac{3}{2})  =  \frac{4}{3} *  \pi *   (\frac{3}{2})^3 [/tex]

        [tex]V(\frac{3}{2})  =  \frac{4}{3} * 3.142 *   (\frac{3}{2})^3 [/tex]

        [tex]V(\frac{3}{2})  = 14.139  [/tex]

For   V(2r)

            [tex]V(2r) =  \frac{4}{3} \pi (2r)^3[/tex]

           [tex]V(2r) =  \frac{4}{3} * 3.142*8r^3[/tex]

           [tex]V(2r) =  33.514r^3[/tex]

Considering the question 7

     The function given is  [tex] h(t) = t^2 - 5t [/tex]

For  h(5)

          [tex] h(5) = 5^2 - 5(5) [/tex]    

           [tex] h(5) = 0 [/tex]  

For  h(1.8)

            [tex] h(t) = 1.8^2 - 5(1.8) [/tex]

            [tex] h(t) = -5.76 [/tex]

For  h(x+ 5)

              [tex] h(x+5) = (x+5)^2 - 5(x+5) [/tex]

               [tex] h(x+5) = x^2 + 25+10x-5x-25[/tex]

             [tex] h(x+5) = x(x+5)[/tex]

6. Evaluate The Function At Each Specified Value Of The Independent Variable And Simplify. (If An Answer

Related Questions

How do you solve a problem involving squeeze theorem?

Answers

Answer:

Step-by-step explanation:

if two functions are squeezed together at a particular point , then any function trapped between them will get squeezed to that point. the squeeze theorem deals with limit value , rather than function value. the squeeze theorem sometimes called Pinch Theorem.

Ben buys bottles of sports drinks from the store for $2 each and takes them to his school's football games. He sells
them to the crowd for $5 each.
How many bottles
does he need to sell to make a profit of $75?

Answers

Answer:

15

Step-by-step explanation

We divide the amount he's selling them for, by the amount of money he needs to make.

75 divided by 5 equals 15.

He needs to sell 15 sports drinks to make $75.

Answer:

25

Step-by-step explanation:

75:(5-2)=25

and to check it

2×25=50

25×5=125

profit = 125-50

profit=75

answer is 25

what is 5.2 divided by 0.8

Answers

Answer:

Hey There!

5.2 divided by 0.8 IS 6.5!

Step-by-step explanation:

This means that 0.8 goes into the number exactly 6.5 times...

I HOPE THIS HELPS!!

What is the image of (-7, -9) after a reflection over the x-axis?

Answers

Answer:

(-7,9)

Step-by-step explanation:

When you flip over the x-axis, the y-value changes its sign. Vice versa.

[tex]\huge\boxed{\boxed{\bold{(-7, 9)}}}[/tex]

[tex]\hrulefill[/tex]

To reflect a point across the [tex]x[/tex]-axis, multiply or divide its [tex]y[/tex] coordinate by [tex]-1[/tex]:

[tex]P'=(-7, -9*-1)[/tex]

Multiply:

[tex]P'=\large\boxed{(-7, 9)}[/tex]

An image is attached showing the original point ([tex]P[/tex]) and its image ([tex]P'[/tex]).

Ann's Paycheck showed a regular weekly salary of $835.50 a deduction of 13.29 a bonus of 34.35 and 28.95 for overtime. what is ANN's final pay?

Answers

Answer:

$885.01

Step-by-step explanation:

Answer:

$885.51

Step-by-step explanation:

$835.50-$13.29= $822.21

-The first step is to subtract the deduction. Deduction always means subtract.

$822.21+$34.35= $856.56

-Once you get the new total by subtracting the deduction, you have to add the bonus. Bonus always means add.

$856.56+$28.95= $885.51

-Finally, when you work overtime at a job, your employer is required by law to pay you extra. Add the overtime and get the final total of $885.51.

PLEASE HELP THIS IS THE LAST QUESTION AND I WANT TO GO TO BED. PLEASE EXPLAIN SO I CAN DO IT FOR NEXT TIME AS WELL

Answers

15+70+45=130 :)) that’s how u calculate the perimeter just add them all together.

Rewrite in simplest radical form! Show your work.

Answers

[tex]x^{\frac{1}{\frac{-3}{6} }}[/tex]

First, let's deal with the fraction in the denominator of the exponent. Multiply the top and bottom of the exponent by 6.

[tex]x^{\frac{6}{-3} }[/tex]

Now that the fraction in the denominator is taken care of, we can reduce the denominator.

[tex]x^{-2}[/tex]. Some professors might accept this as simplest form, but others might ask you to get rid of the negative.

[tex]x^{-2} = \frac{1}{x^{2} }[/tex]

Answer:

*i forgot what a radical is but* your answer is -2

Step-by-step explanation:

there is something called

REDUCE COMPOUND FRACTIONS

basically it's

 [tex]m/f/t[/tex]

so

[tex]1/-3/6\\[/tex]

is gonna be

[tex]1*6/-3[/tex]

which is -2

The midpoint of AB is M(1,1). If the coordinates of A are (-2,5), what are the coordinates of B?​

Answers

Answer:

Step-by-step explanation:

(x - 2)/2 = 1

x - 2 = 2

x = 4

(y + 5)/2= 1

y + 5 = 2

y = -3

(4, -3) Coordinates of B

The coordinates of endpoint B is (4,-3).

What is the line segment?

In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line that is between end points.

Now it is given that,

Mid point of line segment = M(1,1) i.e. (x,y)

coordinates of A = (-2,5) i.e. (x₁ ,y₁ )

So we have,

x = 1

y = 1

x₁ = -2

y₁ = 5

Let the coordinates of the end point be B(x₂,y₂)

Since,

x = (x₁+x₂)/2

⇒ x₂ = 2x - x₁

Put the values we get,

⇒ x₂ = 2*1 - (-2)

⇒ x₂ = 2 + 2

⇒ x₂ = 4

Similarly,

y = (y₁+y₂)/2

⇒ y₂ = 2y- y₁

Put the values we get,

⇒ y₂ = 2*1- 5

⇒ y₂ = 2 - 5

⇒ y₂ = -3

Hence, the coordinates of endpoint B is (4,-3)

To learn more about midpoint of line segment :

brainly.com/question/12774890

#SPJ2

What is the slope for this?

Answers

Answer:

1/2

Step-by-step explanation:

(-4--2)/(3-7)=-2/-4=1/2

Answer:

b. 1/2

Step-by-step explanation:

Points: (7, -2), (3, -4)

slope = (y2 - y1)/(x2 - x1)

slope = (-4 - (-2))/(3 - 7) = (-4 + 2)/(-4) = -2/(-4) = 1/2

Calculating overtime pay

Answers

Answer:

Hourly pay rate x 1.5 x hours worked overtime.

Step-by-step explanation:

For example, if you had an hourly wage of $10, you would first:

Start with the $10 owed. Then:

Multiply your hourly pay by 1.5 to get $15.

Lastly, multiply this number by how many hours you worked overtime. Let's say you work 5 hours overtime. Multiply the $15 by the 5 hours worked overtime, and you should get $75.

An equation to help you solve this could look something like this:

Y*1.5*O=T, where the variable "Y" is hours works, the variable "O" is the hours worked overtime, and the variable "T" is the total amount of money earned for working overtime.

Tom has a cube a rectangular prism. Triangular prism Which of his shapes have more than six vehicles

Answers

Show a picture of the question

How could you write the numerical expression “4x + 1.25” in words?

Answers

X multiplied by 4 plus 1.25

PLEASE HELP ASAP!!!!!!!!!!!!!!!!

Answers

Answer:

ok hold on lemme go get something then ill edit my answer

Step-by-step explanation:

Can you help please
Expand each expression and combine like terms if possible
2/3 (x+ 18 - 2x)​

Answers

Answer:

This is the expression expanded

Step-by-step explanation:

The answer is -2/3x + 12.

First, you collect like terms. This would make the expression 2/3 * (-x + 18)

Then, remove the brackets, making the expression and the final answer -2/3x + 12

202·87–100·87–2·87=

Answers

Step-by-step explanation:

202·87–100·87–2·87

=99.13

Answer:

8700

Step-by-step explanation:

If you want it evaluated, this is the answer. 202 ·87-100·87-2·87= 17574-100·87-2·87=17574-8700-2·87=17574-8700-174= 8700

Brad drives 527 miles on 17 gallons. How many miles does Brad drive on one gallon? (5 points + Brainiest!)

a
31 miles per gallon
b
527 miles per 17 gallons
c
5.27 miles per gallon
d
1 over 31 miles per gallon

Answers

Answer:

d

Step-by-step explanation:

527 / 17 = 31

Which inequality represented the situation: clint has to spend a minimum of $75 in order to use his coupon at the store

Answers

Answer:

i think its c

Step-by-step explanation:

I think thats its C because 75 is the lowest it can go.

0= -5/4(x - 6/5) find the solution to x

Answers

Answer:

x = 6/5

Step-by-step explanation:

Solve for x:

0 = (-5 (x - 6/5))/4

Hint: | Put the fractions in x - 6/5 over a common denominator.

Put each term in x - 6/5 over the common denominator 5: x - 6/5 = (5 x)/5 - 6/5:

0 = (-5)/4 (5 x)/5 - 6/5

Hint: | Combine (5 x)/5 - 6/5 into a single fraction.

(5 x)/5 - 6/5 = (5 x - 6)/5:

0 = (-5)/4 (5 x - 6)/5

Hint: | In (-5 (5 x - 6))/(5×4), divide -5 in the numerator by 5 in the denominator.

(-5)/5 = (5 (-1))/5 = -1:

0 = (-1 (5 x - 6))/4

Hint: | Reverse the equality in 0 = (-(5 x - 6))/4 in order to isolate x to the left hand side.

0 = (-(5 x - 6))/4 is equivalent to (-(5 x - 6))/4 = 0:

(-(5 x - 6))/4 = 0

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (-(5 x - 6))/4 = 0 by -4:

(-4 (-(5 x - 6)))/4 = -4×0

Hint: | In (-4 (-(5 x - 6)))/4, divide -4 in the numerator by 4 in the denominator.

(-4)/4 = (4 (-1))/4 = -1:

--1 (5 x - 6) = -4×0

Hint: | Multiply all instances of -1 in -(-(5 x - 6)).

(-1)^2 = 1:

5 x - 6 = -4×0

Hint: | Any number times zero is zero.

0 (-4) = 0:

5 x - 6 = 0

Hint: | Isolate terms with x to the left hand side.

Add 6 to both sides:

5 x + (6 - 6) = 6

Hint: | Look for the difference of two identical terms.

6 - 6 = 0:

5 x = 6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 5 x = 6 by 5:

(5 x)/5 = 6/5

Hint: | Any nonzero number divided by itself is one.

5/5 = 1:

Answer: x = 6/5

Need some help on this

Answers

I believe you would subtract 64 from 180 (since it’s the measurement of the straight line) that would leave you with 116. From there you would divide that by 2 since it’s split in 1/2 which would leave you with 58. Therefore, the answer is x=58

4(x-6)=-4 I'll give you brainly​

Answers

Answer: X = 5

Step-by-step explanation:

solve by multiplying the inside ( )

4x -24 = -4

add 24 to both sides

4x = 20

divide by 4

x = 5

WILL GIVE BRAINLYIEST Which item, A or B has a higher overall net force? Show your work and include units.

Answers

Answer:

a does because 5-3= 2 net force to the right and b would total out to 1 to the right

Step-by-step explanation:

4). A rectangle is twice as long as its width. One way to write an expression to find the perimeter
would be w+w+2w + 2w. Write the expression in two other ways.

Answers

Step-by-step explanation:

p= 2(L+w)

= 2(2x+y)

or

P=L+L+L+L

=2x+y+2x+y

Quadrilateral KLMN is similar to quadrilateral WXYZ. K Y Z W N M Complete the statements below. 1. Angle NKL is congruent to angle​

Answers

Angel nkl is congruent to what angle

Answer:

Angle NKL is congruent to angle XYZ.

Step-by-step explanation:

I took the test and it was right

Hope this helped

Find the difference
16-(-4)
i need help ASAP

Answers

the answer is 20!
you need to change the subtraction sign to an addition sign and change -4 to a 4. then, solve!
hope this helps!!

Graph the solution on the number line 3x + 3) - 244 or 1-**-1
I need answer

Answers

Okay so 3x + 3 - 244 = -238 so I think you would put -238 on the number line and then fill in the line to the negative spot I hope that helps

If a = 2 b=-3 then find the value of 2a - 4b?

Answers

Given:

a=2b=-3

Question:

2a - 4b

Step by step explanation:

Step 1:

2×2-4×(-3)

Step 2:

4-4(-3)

Step 3:

4+12

Step 4:

16

So 16 is correct answer

hope it helped you :)

Answer

16

Step-by-step explanation:

2×2-4×-3=

4+12=

16

You want to leave a nice tip on a $36 meal. So you decide to add 20% to the bill. How much is the total bill?

Answers

Answer:

43.20

Step-by-step explanation:

First find the tip

36 * 20 %

36 * .2

7.20

Then add the tip to the amount of the meal

36+7.20

43.20

You went to have a meal which costs $36, and maybe becoming very delighted with the taste and service of the food centre, you decided to add a tip.

[tex]20\%[/tex] of the total meal.

So, First we need to find the tip by multiplying the percentage with the cost of meal

Tip:

[tex]20\% \: of \: 36[/tex]

[tex] \frac{20}{100} \times 36[/tex]

[tex] \frac{1}{5} \times 36[/tex]

[tex]7.2[/tex]

Now, we have got the amount of money we decided to give as a tip. And, we are already having the cost of meal. So, total money paid:

[tex]36 + 7.2[/tex]

[tex] \boxed{ 43.2}[/tex]

This is our required answer.

#CarryOnLearning

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On Gabriela's first birthday, her parents gave her a $50 savings account on every birthday after that her parents added to the account,
increasing the amount they deposited by $25 each year. Complete the recursive definition for the sequence that represents this situation by
finding the values for a, and d.

Answers

Initial amount , a = $50 .

Increase in price , d = $25 .

We need to find the recursive relation of the sequence .

If we notice it is an arithmetic progression with common difference $25 .

Which means that difference between any two consecutive term is 25 .

So , T(n) - T(n-1) = 25

T(n) = T(n-1) + 25 .

Hence , this is the required solution .

3/4 of a cup of pasta sauce for every 12 ounces whats the unit rate

Answers

Answer:

the unit rate is 1/4 every 4 ounces

Step-by-step explanation:

12/3=4          3/3=1 so 1/4 of a cup every 4 ounces.

y varies directly with x, and y=24 when x=-15. what is x when y=16? a) 10 b) -22.5 c) -10 d) -25.6

Answers

Answer:

c

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 24 when x = - 15, then

24 = - 15k ( divide both sides by - 15 )

k = [tex]\frac{24}{-15}[/tex] = - [tex]\frac{8}{5}[/tex] = - 1.6 , thus

y = - 1.6x ← equation of variation

When y = 16, then

16 = - 1.6x ( divide both sides by - 1.6 )

x = - 10 → c

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