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3 years ago

What is the value of y^-5 and x^-3 for x = 2 and y = -4?

Mathematics

1 answer:

Ilya [14]3 years ago

7 0

$a^{-n}=\dfrac{1}{a^n}\\\\x^{-3}=\dfrac{1}{x^3};\ y^{-5}=\dfrac{1}{y^5}\\\\\dfrac{y^{-5}}{x^{-3}}=\dfrac{1}{y^5}:\dfrac{1}{x^3}=\dfrac{1}{y^5}\cdot\dfrac{x^3}{1}=\dfrac{x^3}{y^5}\\\\x=2;\ y=-4=-2^2\\\\\dfrac{x^3}{y^5}=\dfrac{2^3}{(-2^2)^5}=\dfrac{2^3}{-2^{2\cdot5}}=\dfrac{2^3}{-2^{10}}=-\dfrac{1}{2^7}=\boxed{-\dfrac{1}{128}}\to\fbox{C.}$

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Absorption rates into the body are important considerations when manufacturing a generic version of a brand-name drug. A pharmac

Darya [45]

Answer:

Correct option: (D).

Step-by-step explanation:

A null hypothesis is a hypothesis of no difference. It is symbolized by H₀.

A Type I error is the probability of rejection of the null hypothesis of a test when indeed the the null hypothesis is true.

The type I error is also known as the significance level of the test.

It is symbolized by P (type I error) = α.

In this case the researcher wants to determine whether the absorption rate into the body of a new generic drug (G) is the same as its brand-name counterpart (B) or not.

The hypothesis for this test can be defined as:

H₀: The absorption rate into the body of a new generic drug and its brand-name counterpart is same.

Hₐ: The absorption rate into the body of a new generic drug and its brand-name counterpart is not same.

The type I error will be committed when the null hypothesis is rejected when in fact it is true.

That is, a type I error will be made when the the results conclude that the absorption rate into the body for both the drugs is not same, when in fact the absorption rate is same for both.

Thus, the correct option is (D).

6 0

3 years ago

What is the length of a 50-inch TV that has a width of 27 inches?

drek231 [11]

Answer:

42.08inches

Step-by-step explanation:

Given data

SIze of TV= 50 inch

Width= 27inches

Length= ??

Applying Pythagoras theorem

z^2= x^2+y^2

50^2= x^2+27^2

square root both sides

50^2= x^2+27^2

2500= x^2+ 729

2500-729=x^2

1771=x^2

x= √1771

x= 42.08

Hence the lenght is 42.08inches

7 0

3 years ago

The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must

Natalka [10]

Answer: 12 students

Step-by-step explanation:

Let X and Y stand for the number of students in each respective class.

We know:

X/Y = 2/5, and

Y = X+24

We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:

(Y-x)/(X+x) = 1

---

We can rearrange X/Y = 2/5 to:

X = 2Y/5

The use this value of X in the second equation:

Y = X+24

Y =2Y/5+24

5Y = 2Y + 120

3Y = 120

Y = 40

Since Y = X+24

40 = X + 24

X = 16

Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:

(Y-x)=(X+x)

(40-x)=(16+x)

24 = 2x

x = 12

12 students must transfer to the more difficult, very early morning, class.

7 0

3 years ago

Andre rode his bike at a constant speed. He rode 1 mile in 5 minutes. Which of these equations represents the amount of time t (

Keith_Richards [23]

Answer:

5minutes and the the distance is 1miles

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2 years ago

Read 2 more answers

How to write 7.5 as a fRACTION

alexdok [17]

Its 7 n 1/2 u simplify 5/10= 1/2 so its 7 n 1/2

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3 years ago