5) Use the rules of exponents to evaluate or simplify. Write without negative exponents. y^-5 / y^-2 = ____

Answers

Answer 1
Answer: ( y ^(-5) )/(y ^(-2)) =y^(-5-(-2))=y^(-5+2)=y^(-3)=(1)/(y^(3))



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Which expressions have a value of 18? Choose all answers that are correct. A. –3 – 21 B. 7 – (–25) C. 34 – 16 D. –4 – (–22)

Answers

A) -3 - 21 = -24
B) 7 - (-25) = 32
C) 34 - 16 = 18
D) -4 - (-22) = 18

Answer: and D
C. 34 - 16 = 18
and
D. -4 - (-22)
    -4 + 22 = 18

A truck rental company rents a moving truck for one day by charging $29 plus 0.07 per mile.(a) Write a linear model that represents the cost based on the numbers of miles driven in a day.

(b) What is the cost of renting the truck has driven 230 miles?

Answers

y = .7x + 29

x = miles driven and, y = total cost of renting the truck

Please help!! I'm in summer school and I can't fail

Answers

Answer:

b. -5/2

Step-by-step explanation:

You chose the correct answer,

The slope of a perpendicular line is the opposite reciprocal of the original slope. This means flip the fraction and add a negative sign. 2/5 --> -5/2.

Answer:

-5/2

Step-by-step explanation:

Your answer was correct  

The slope of a perpendicular line is the opposite reciprocal of the original slope. This means flip the fraction and add a negative sign. 2/5 --> -5/2.

∠ABC and ∠DBC are complementary angles. If ∠ABC=6x+13 and ∠DBC=4x−3 what is the value of x?

Answers

Answer:

x = 8

Step-by-step explanation:

Complimentary angles are angles that add up to 90 degrees. If ABC and DBC are complimentary, then when added together, it equals 90 degrees.

ABC + DBC = 90

6x+13+4x−3 = 90

10x+10 = 90

10x = 80

x = 8

Final answer:

By setting up an equation based on the relationship that the measures of complementary angles sum up to 90 degrees, we can solve for x and find that x equals 8.

Explanation:

To find the value of x, first understand that complementary angles are angles whose sum is 90 degrees. So if ∠ABC and ∠DBC are complementary angles, we know that their measures add up to 90 degrees.

Given ∠ABC=6x+13 and ∠DBC=4x-3, you can form the equation (6x + 13) + (4x - 3) = 90. Simplify the equation to get 10x + 10 = 90. Subtract 10 from both sides of the equation, you'll get 10x = 80. Finally, divide by 10 on both sides to solve for x, we find that x = 8.

Learn more about Complementary angles here:

brainly.com/question/15592900

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Which expression is equivalent to 1/4(8-6x+12)?A) 7/2x
B)-13/2
C)-6x+14
D)-3/2x+5

An airplane's altitude changed -378 feet over 7 minutes. What was the mean change of altitude in feet per minute?


WORK PLEASE

Answers

so which is equivilent
pemdas

(8-6x+12)
(20-6x)
multiply/distribute
1/4(20-6x)
5-6/4x=5-3/2x=-3/2x+5

the answer is D



so mean is equivilent to average

per minute means x feet for every one minute=xfeet/1miin=x/1

so just divide
-378/7=-54

mean change in altitude
-54 feet per minute
First Question:

(1)/(4)(8-6x+12) =
(8)/(4)-(6x)/(4)+(12)/(4) =
2-(3)/(2)x+3 =
\boxed{(D) -(3)/(2)x+5}

Second Question:

The average (mean) rate of change is just (-378)/(7) =\boxed{-54 ft/min}

Hope this helps :D



which of the expressions doe not contain any like terms?    a. 2x2+3x-4x+2     b. xy+yz-17     c. x2+x2-2x-x2   d. 4+8+y

Answers

b. does not contain any like terms, because xy, yz, and -17, do not share any common variables. 

Hope this helps!
The answer is B it does not have any of the other terms