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mrs_skeptik [129]
3 years ago
11

Which expression is equivalent to 5y^3/(5y)^-2​

Mathematics
1 answer:
Serggg [28]3 years ago
6 0

Answer:

5^3  y^5

125 y^5

Step-by-step explanation:

5y^3/(5y)^-2​

Distribute the exponent in the denominator

5y^3/(5 ^-2 y^-2)

A negative exponent in the denominator brings it to the numerator

5y^3 5 ^2 y^2​​

Combine like terms

5 * 5^2  * y^3 5^2

We know that a^b * a^c = a^(b+c)

5^(1+2) * y^( 3+2)

5^3  y^5

125 y^5

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Determine whether the underlined numerical value is a parameter or a statistic. Explain your reasoning The average grade on the
Nat2105 [25]

Answer:

The correct option is F.

Step-by-step explanation:

A parameter is a single numerical value describing a certain characteristic of the entire population. It is computed using the population values. For example, population mean, population variance, etc.

A statistic is also a numerical value that defines certain characteristic of a sample. It is computed using the sample values. For example, sample mean, sample variance, etc.

Here the mean score for all the 50 students in the midterm Math exam is computed as 88.

This mean value is a parameter because it is computed using the entire population of 50 students in the math class,i.e. all the population values were included in the calculation of mean 88.

Thus, the correct option is F.

3 0
3 years ago
Help please, thanks.
Vladimir79 [104]

Answer:

B

Step-by-step explanation:

C = R/1.8 - 273

C + 273 = R/1.8

1.8 * (C + 273) = R

1.8 can also be read as the fraction 9/5.

9/5 * (C + 273) = R

Thus your answer is B. Hope I helped!

7 0
3 years ago
Read 2 more answers
What are the coordinates of the vertex for f(x) = 2x2 + 4x + 9?
Vlada [557]
Your equation f(x)=2x^2+4x+9 is in the form y=ax^2+bx+c
The vertex only relies on "a" and "b" though, so that +9 doesn't really matter in this case.  The vertex of a parabola is located where 
x=\frac{-b}{2a}=\frac{-4}{2(2)}=-1
So your x-coordinate is -1.  You need to find f(-1) to find your y-coordinate, and then you list it in the form (-1, y).
5 0
3 years ago
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Anna wanted to buy a camera. The first discount store sold her favorite camera for $95. The second store sold the same camera fo
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The second store offered the better buy at the price of $92.00.

What is better buy?

Better buy refers to the lowest price out of the prices offered by the three stores.

In order to determine the lowest price, the no discount price of the first store needs to be compared to the prices of  two other stores, bearing that after-discount price is the pre-discount price multiplied by 1 minus the discount rate.

First store price=$95.00

Second store after-discount price=pre-tax discount price*(1-discount rate)

pre-discount price=$115

discount rate=20%

Second store after-discount price=$115*(1-20%)

Second store after-discount price=$92.00

Third store after-discount price=pre-tax discount price*(1-discount rate)

pre-discount price=$105

discount rate=10%

Third store after-discount price=$105*(1-10%)

Third store after-discount price=$94.50

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5 0
1 year ago
Given M is the midpoint ABA. The coordinate of A are (-4,2) and the cordinates of M are (1,1). Find the coordinate of B. Choose
4vir4ik [10]

Answer:

The coordinate of B is (6,0)

Step-by-step explanation:

Given;

coordinate of A = (-4,2) = (x₁, y₁)

coordinate of M = (1,1)

let coordinate of B = (x₂, y₂)

Mid-point is given by;

M = \frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\M= (1,1)\\\\1,1 =\frac{X_1 + X_2}{2} , \frac{Y_1 + Y_2}{2}\\\\ \frac{X_1 + X_2}{2}  = 1 ----equation (1)\\\\\frac{Y_1 + Y_2}{2} = 1 -----equation(2)\\\\Solving \ equation(1)\\\\\frac{-4+ X_2}{2}  = 1\\\\-4+ X_2 = 2\\\\X_2 = 2+4\\\\X_2 = 6\\\\Solving \ equation(2)\\\\\frac{Y_1 + Y_2}{2} = 1\\\\\frac{2+ Y_2}{2} = 1\\\\2+Y_2 = 2\\\\Y_2 = 2-2\\\\Y_2 = 0\\\\B = (X_2, \ Y_2)\\\\B = (6, \ 0)

Therefore, the coordinate of B is (6,0)

5 0
3 years ago
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