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3 years ago

Write an algebraic expression for the word phrase 9 less than half a number

1 answer:

5 0

1/2x -9, you take half of x so multiply 1/2 times x then you subtract the 9 after due to PEMDAS ( parentheses, exponents, multiplication & division, Add & Subtract) you follow the order of operation starting with Parentheses and ending with adding or subtracting

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The graph of an inverse trigonometric function passes through the point (1, pi/2). Which of the following could be the equation

rodikova [14]

Answer: C) $y=sin^-1 x$

Step-by-step explanation:

Since, the graph of an inverse trigonometric function will pass through the point $(1,\frac{\pi}{2})$ ,

If this point satisfies the function,

For the function $y=cos^{-1} x$

If x = 1

$y=cos^{-1}1=0$

Thus, $(1,\frac{\pi}{2})$ is not satisfying function $y=cos^{-1} x$ ,

⇒ The graph of $y=cos^{-1} x$ is not passing through the point $(1,\frac{\pi}{2})$

For the function $y=cot^{-1}x$

If x = 1

$y=cot^{-1}1=\frac{\pi}{4}$

Thus, $(1,\frac{\pi}{2})$ is not satisfying function $y=cot^{-1}x$ ,

⇒ The graph of $y=cot^{-1}x$ is not passing through the point $(1,\frac{\pi}{2})$

For the function $y=sin^{-1} x$

If x = 1

$y=sin^{-1}1=\frac{\pi}{2}$

Thus, $(1,\frac{\pi}{2})$ is satisfying function $y=sin^{-1} x$ ,

⇒ The graph of $y=sin^{-1} x$ is passing through the point $(1,\frac{\pi}{2})$ .

For the function $y=tan^{-1}x$

If x = 1

$y=tan^{-1}1=\frac{\pi}{4}$

Thus, $(1,\frac{\pi}{2})$ is not satisfying function $y=cos^{-1} x$ ,

⇒ The graph of $y=tan^{-1} x$ is not passing through the point $(1,\frac{\pi}{2})$ .

Hence, Option C is correct.

3 0

3 years ago

The length, width, and height of a rectangular prism is a, (a-13), and (a+13) respectively, which statement best describes (a-13

Nitella [24]

Answer:

a. The width of the rectangular prism is 13 units less than the length.

Step-by-step explanation:

From the information given we know that

a = length of rectangular prism and

$a - 13$ = width of rectangular prism

An expression like $a - 13$ means that we need to subtract 13 units from the length to obtain the width of the rectangular prism.

Therefore,

The width of the rectangular prism is 13 units less than the length.

3 0

3 years ago

You are working at a Silver Mountain Tea bottling plant! The bottles of iced tea are supposed to be filled with 12 ounces of liq

Ede4ka [16]

Answer: $(12.007\ , \ 12.033)$

Step-by-step explanation:

Given : Sample size : n= 36 , which is a large sample (n>30) so the test applied here is z-test.

Significance level : $\alpha: 1-0.95=0.05$

Using Standard normal table , Critical value : $z_{\alpha/2}=1.96$

Sample mean : $\overline{x}=12.02$

Standard deviation: $\sigma= 0.04$

The confidence interval for population means is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

i.e. $12.02\pm(1.96)\dfrac{0.04}{\sqrt{36}}$

$\approx12.02\pm0.013=(12.02-0.013,\ 12.02+0.013)\\\\=(12.007\ , \ 12.033)$

Hence, the 95 percent confidence interval for the fill rate = $(12.007\ , \ 12.033)$

4 0

4 years ago

Two babies, Carter and Alyssa, were due on the same day. Carter was born 9 days before his due date. If Alyssa was born two week

VikaD [51]

Answer: B) 5 days

Explanation: 2 weeks is equal to 14 days. If you do 14 - 9 you get 5, which is equal to the amount of days after the due date.

6 0

3 years ago

Can you hlep me hhhhhh

hram777 [196]

Answer:

The answer is 8 please Brainlist me

Step-by-step explanation:

6^2+h^2=10^2

36+h^2=100

Solving for h gives 8

4 0

3 years ago

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