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3 years ago

I need help with the word standard form

Mathematics

1 answer:

guajiro [1.7K]3 years ago

3 0

Standard form is the cord written normally. Like this, 1,563

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PLEASE HELP!!! PLATO ALGEBRA 2

andrey2020 [161]

Answer:

(gof) (4) = 9

Hence, option A is true.

Step-by-step explanation:

f(x)=-x³

g(x)=|1/8x -1|

(gof) (4) = g{f(4)}

First wee need to determine f(4)

f(4)=-(4)³

= -64

(gof) (4) = g{f(4)} = g(-64)

= $\left|\frac{1}{8}\left(-64\right)-1\right|$

$=\left|-\frac{1}{8}\cdot \:64-1\right|$

$=\left|-8-1\right|$

$=\left|-9\right|$

$\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a$

$=9$

Thus,

(gof) (4) = 9

Hence, option A is true.

8 0

2 years ago

Simplify. (22)-3 A) 64 B) -64 C) 1/64 D) -1/64

saveliy_v [14]

$(2^2)^{-3}=4^{-3}=\dfrac{1}{4^3}=\dfrac{1}{64}\\\\Used\ a^{-n}=\dfrac{1}{a^n}$

4 0

3 years ago

Read 2 more answers

Suppose a production facility purchases a particular component part in large lots from a supplier. The production manager wants

musickatia [10]

Answer:

We need a sample size of at least 1161.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error for the interval is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

For this problem, we have that:

$\pi = 0.22$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

How large a sample should she take?

We need a sample size of at least n.

n is found when $M = 0.02$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 1.645\sqrt{\frac{0.22*0.78}{n}}$

$0.02\sqrt{n} = 1.645\sqrt{0.22*0.78}$

$\sqrt{n} = \frac{1.645\sqrt{0.22*0.78}}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.645\sqrt{0.22*0.78}}{0.02})^{2}$

$n = 1160.88$

Rounding up

We need a sample size of at least 1161.

7 0

3 years ago

Suppose that G(x) = F(x-6) - 3. Which statement best compares the graph of

aleksklad [387]

Answer:

Step-by-step explanation:

Since G(x) =F(x-6)-3

So on the x-axis it will shift - 6 units so to the left and - 3 units on the y-axis then 3 units down.

5 0

3 years ago

What is the EXACT volume of this composite figure?

mariarad [96]

Answer:

324π in.³

Step-by-step explanation:

The figure is a cone and a half sphere.

V = (1/3)πr²h + [(4/3)πr³]/2

V = (1/3)π(36 in.²)(15 in.) + (2/3)π(216 in.³)

V = [180π + 144π] in.³

V = 324π in.³

5 0

2 years ago