MATHEMATICS COLLEGE

Which expression is equivalent to 3/56x^7y^5 , if x ≠0 and y≠0

Answers

Answer 1

Answer:

Answer:

$2x^2y\sqrt[3]{7xy^2}$

Step-by-step explanation:

Given

$\sqrt[3]{56x^7y^5}$

Required

Solve

Expand

$\sqrt[3]{8*7*x^6*x*y^3*y^2}$

Rewrite as:

$\sqrt[3]{8*x^6*y^3*7*x*y^2}$

Split

$\sqrt[3]{8*x^6*y^3} *\sqrt[3]{7*x*y^2}$

Express 8 as 2^3

$\sqrt[3]{2^3*x^6*y^3} *\sqrt[3]{7*x*y^2}$

Apply law of indices

$2^((3/3))*x^((6/3))*y^((3/3)) *\sqrt[3]{7*x*y^2}$

$2*x^2*y *\sqrt[3]{7*x*y^2}$

$2x^2y *\sqrt[3]{7xy^2}$

$2x^2y\sqrt[3]{7xy^2}$

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Pls help me with this and show any work

Answers

Answer: 9.5 (D.)

Step-by-step explanation:

SOCAHTOA

the sin of an angle is equal to the opposite side over the hypotenuse.

angle: 32

opposite side: x

hypotenuse: 18 m

1. sin32 = x/18

2. 18(sin32) = x

3. 9.5 = x

if you are confused with how it went from 18(sin32) to 9.5, you can plug 18(sin32) into your calculator.

Which of the following can a seismograph not show scientists?

Answers

It can’t tell you when exactly in time when the earthquake is going to occur.

An above-ground swimming pool in the shape of a cylinder has a diameter of 16 feet and a height of 5 feet. If the pool is filled with water to 1.5 inches from the top of the pool, what is the volume, to the nearest cubic foot, of the water in the pool?⇆

Answers

Answer is lots of god Which equation is the inverse of y = 100 – x2?

The caffeine content (in mg) was examined for a random sample of 50 cups of black coffee dispensed by a new machine. The mean and the standard deviation were 110 mg and 7.1 mg respectively. Use the data to construct a 98% confidence interval for the mean caffeine content for cups dispensed by the machine. Interpret the interval!

Answers

Answer:

We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 mg .

Step-by-step explanation:

Given -

The sample size is large then we can use central limit theorem

n = 50 ,

Standard deviation $(\sigma)$ = 7.1

Mean $\overline{(y)}$ = 110

$\alpha =$ 1 - confidence interval = 1 - .98 = .02

$z_{(\alpha)/(2)}$ = 2.33

98% confidence interval for the mean caffeine content for cups dispensed by the machine = $\overline{(y)}\pm z_{(\alpha)/(2)}\frac{\sigma}√(n)$

= $110\pm z_(.01)\frac{7.1}√(50)$

= $110\pm 2.33\frac{7.1}√(50)$

First we take + sign

$110 + 2.33\frac{7.1}√(50)$ = 112.34

now we take - sign

$110 - 2.33\frac{7.1}√(50)$ = 107.66

We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 .

Which BEST describes the distribution?A)
Skewed
B)
Uniform
C)
Symmetric, bimodal
D)
Non-symmetric, bimodal

Answers

Answer:

Step-by-step explanation:

Final answer:

The distribution is skewed.

Explanation:

The question asks about the description of the distribution of a dataset. To determine how the data is distributed, we need to analyze the shape of the graph or histogram representing the data.

If the dataset is skewed, it means that the data is not evenly distributed and there is a tail on one side. So, option A is correct. If the dataset had a bell-shaped graph with a single peak, it would be symmetric, but since it is bimodal, with two distinct peaks, option D is not accurate. The options B and C are not applicable based on the given information.

Therefore, the best description for the distribution is skewed.

Learn more about Distribution in Mathematics here:

brainly.com/question/33576480

#SPJ2

NO LINKS OR ANSWERING WHAT YOU DON'T KNOW?1. Suppose y varies inversely with x, and y = 25 when x = 1/5. What is the value of y when x = 5?

a. 15
b. 5
c. 25
d. 1

2. Suppose y varies inversely with x, and y = a when x = a^2. What inverse variation equation related x and y?

a. y = a^2/x
b. y = a^3/x
c. y= a^3x
d. y = ax

3. Suppose y varies inversely with x, and y = 3 when x = 1/3. What is the inverse variation equation that relates x and y?

a. y = 1/x
b. y =x
c. y = 3x
d. y = 3/x

Answers

Answer:

1. D. 1

2. B. y=a³/x

3. A. y=1/x

Step-by-step explanation:

too long to give te explanations but they're there in the attachments

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