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Softa [21]
3 years ago
9

Simplify the following expressions 12x^3/25×40/9x^2​

Mathematics
1 answer:
Archy [21]3 years ago
3 0

Answer: 27x^5/250

Step-by-step explanation:

I assume that's a fraction on a fraction.

12x^3/25×40/9x^2 = (12x^3 × 9x^2)/1000

= 108x^5/100

= 27x^5/250

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andreev551 [17]

Answer:

-10+i\sqrt{2}

Step-by-step explanation:

One is given the following expression:

\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}

In order to simplify and solve this problem, one must keep the following points in mind: the square root function (\sqrt{}) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: (\sqrt{-1}=i). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.

\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}

\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}

Take factors from out of under the radical:

\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}

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Simplify,

-10+i\sqrt{2}

8 0
3 years ago
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jek_recluse [69]

Answer:

Equation: y = \frac{7}{4} x

21/2 cups of water

Step-by-step explanation:

Plug in 7 as y and 4 as x

7 = 4k

Find k

k = 7/4

Then plug k into th equation

y = 7/4 x

For the second part of the question:

Plug in x which is 6 into the bolded equation.

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21/2 cups of water

5 0
3 years ago
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Find the surface area of the cylinder in terms of Tt
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2 years ago
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the length of a rectangle is 1 meter less than its width. the area of the rectangle is 42 square meters. find the dimensions of
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3 years ago
Some college graduates employed full-time work more than hours per week, and some work fewer than hours per week. We suspect tha
Alex_Xolod [135]

Answer:

a)Null hypothesis:\mu =40      

Alternative hypothesis:\mu \neq 40      

b) A Type of error I is reject the hypothesis that \mu is equal to 40 when is fact \mu is equal to 40c) We can commit a Type II Error, since by definition "A type II error is the non-rejection of a false null hypothesis and is known as "false negative" conclusion"Step-by-step explanation:Assuming this problem: "Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, [tex]\mu , is different from 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 43 hours and that the standard deviation is 4 hours. Based on this information, answer the questions below"

Data given

\bar X=43 represent the sample mean

\mu population mean (variable of interest)

s=4 represent the sample standard deviation

n represent the sample size  

Part a: System of hypothesis

We need to conduct a hypothesis in order to determine if actual mean is different from 40 , the system of hypothesis would be:    

Null hypothesis:\mu =40      

Alternative hypothesis:\mu \neq 40      

Part b

In th context of this tes, what is a Type I error?

A Type of error I is reject the hypothesis that \mu is equal to 40 when is fact [tex]\mu is equal to 40

Part c

Suppose that we decide not to reject the null hypothesis. What sort of error might we be making.

We can commit a Type II Error, since by definition "A type II error is the non-rejection of a false null hypothesis and is known as "false negative" conclusion"

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3 years ago
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