MATHEMATICS HIGH SCHOOL

Write the expression without the fraction bar.y to the 3rd power
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y to the 7th power

Answers

Answer 1
Answer: for problems like this you can move the y's on the bottem up top by fliping the sign of the exponent (in this case 7 to -7) and MULTIPLYING it with EVERYTHING on top, then because of properties of multplication you can add the exponents to combine them into one term (in this case add 3 and -7 to get -4)( y^(3) )/(y^(7))=y^3 *y^(-7) = y^(3+-7)=y^(3-7)=y^-4If any of this does not make sense let me know and ill try to clarify better
Answer 2
Answer: (y^3)/(y^7)=y^(3-7)=y^(-4)

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The area of a right triangle is 270 m². The height of the right triangle is 15 m. What is the length of the hypotenuse of the right triangle?

Answers

The area of a triangle is calculated by the expression given as:

Area = bh/2

where b is the base and h is the height.

We calculate as follows:

270 = b (15) / 2
b = 36

hypotenuse = sqrt ( 15^2 + 36^2 ) = 39

Answer:

hypotenuse = 39m

Step-by-step explanation:

Area of a triangle= 1/2 * base * height

where base = ?

        height = 15

Plugin values into the formula:

270 = 1/2 base (15)

base = 270 (2)

               15

base = 36

hypotenuse = √(base² + height²)

                    = √( 36² + 15² )

                    = 39

Molly is on a game show. To win $1,000,000, she must answer this question: What key features are necessary—and how are the features used—to create the sketch of a polynomial function? What is Molly's winning answer? Explain in complete sentences.

Answers

- Find the y-intercept
- Find the roots (i.e. x - intercepts)
- Determine where the function increases and where it increases, along with the maximum and minimum values.
- Determine where the function changes concavity along with the inflection points.
- Determine the special points, where the value of the function is not defined and try to find the limit when the value of x approachs to this values
- Determine the limits of the function when x approachs to positive infinity and negative infinity

- For some of those steps you need to know some concepts of calculus: limits and derivatives along with the rules that let you know if a point is a maximum, a minimum or an inflection point.

With that information you can sketch a polynomial function.

What is the sum of -45 and 17?

-28
-62
28
-32

Answers

Sum means to add, so just add -45 + 17. 

-45 + 17 = -28

The answer is: -28.

The wingspan of one butterfly is 1 9/16. The wingspan of another butterfly is 1 5/8 inches. write an inequality comparing the two wingspan

Answers

1 9/16 < 1 5/8     one nine sixteenths is larger than one five eighths
19/16< 15/8 one nine sixteenth is larger than one five eighths

How do you convert 7.3 to a percentage?

Answers

Answer:

To convert 7.3 to a percentage, you simply multiply it by 100. So, 7.3 becomes 730%.

Find 25% less than 56

Answers

Answer:the answer is 31

Step-by-step explanation:

We are looking for a new number which is 25 less than 56.

We will get the new number by subtracting 25 from 56.

We write it down as:

56-25=31

And finally the solution for: What number is 25 less than 56?

is 31
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