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2 years ago

Find the product. y4 · y6

Mathematics

2 answers:

Vanyuwa [196]2 years ago

4 0

Answer:

$y^{10}$

Step-by-step explanation:

I am assuming that you mean $y^4*y^6$ .

$y^4*y^6\\\text {Apply the product rule: } a^n*a^m =a^{n+m}\\4 + 6 = 10\\\text {Therefore,}\\\boxed {y^4*y^6 = y^{10}}$

<em>Brainilest Appreciated.</em>

Andreyy892 years ago

4 0

Answer:

y10

Step-by-step explanation:

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For each level of precision, find the required sample size to estimate the mean starting salary for a new CPA with 95 percent co

Rzqust [24]

Answer:

(a) Margin of error ( E) = $2,000 , n = 54

(b) Margin of error ( E) = $1,000 , n = 216

(c) Margin of error ( E) = $500 , n= 864

Step-by-step explanation:

Given -

Standard deviation $\sigma$ = $7,500

$\alpha$ = 1 - confidence interval = 1 - .95 = .05

$Z_{\frac{\alpha}{2}}$ = $Z_{\frac{.05}{2}}$ = 1.96

let sample size is n

(a) Margin of error ( E) = $2,000

Margin of error ( E) = $Z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

E = $Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}$

Squaring both side

$E^{2} = 1.96^{2}\times\frac{7500^{2}}{n}$

$n =\frac{1.96^{2}}{2000^{2}} \times 7500^{2}$

n = 54.0225

n = 54 ( approximately)

(b) Margin of error ( E) = $1,000

E = $Z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

1000 = $Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}$

Squaring both side

$1000^{2} = 1.96^{2}\times\frac{7500^{2}}{n}$

$n =\frac{1.96^{2}}{1000^{2}} \times 7500^{2}$

n = 216

E = $Z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

500 = $Z_{\frac{.05}{2}}\frac{7500}{\sqrt{n}}$

Squaring both side

$500^{2} = 1.96^{2}\times\frac{7500^{2}}{n}$

$n =\frac{1.96^{2}}{500^{2}} \times 7500^{2}$

n = 864

7 0

3 years ago

What’s the axis of symmetry?

Sloan [31]

Answer:

x = -1

Step-by-step explanation:

With the axis of symmetry, think of it as where you would slice this line in half, and both sides would look identical to each other. Since this is a quadratic function, this would be at where the vertex is.

The vertex is the part of the line where it "turns" around and starts going the other way. So vertex of this line is at (-1, 3).

Therefore, the axis of symmetry is at x = -1. This is since the function is pointing either up/down, and any value that is x = _ is a vertical line.

4 0

2 years ago

Find the derivative of f(x) = 11x2 + 5x at x = 9.

Yakvenalex [24]

F(x) = 11x² + 5x

f'(x) = 22x + 5

Hence,

f'(9) = (22 * 9) + 5 = 198 + 5 = 203

3 0

2 years ago

Read 2 more answers

Two cylinders. The smaller cylinder has height labeled as 6 cm. The larger cylinder has height labeled as 18 cm.

Yakvenalex [24]

Answer: first option.

Step-by-step explanation:

You know that the height of the smaller cylinder is 6 cm and the height of the larger cylinder is 18 cm, then you can find the volume ratio. This is:

$Volume\ ratio=(\frac{6cm}{18cm})^3\\\\Volume\ ratio=\frac{1}{27}$

Knowing that the volume of the larger cylinder is 40,635 cubic centimeters, you need to multiply it by the volume ratio to find the volume of the smaller cylinder.

Therefore:

$V_{smaller}=\frac{1}{27}(40,635\ cm^3)\\\\V_{smaller}=1,505\ cm^3$

8 0

3 years ago

Perform the operation(s) and write the answer in simplest form.

ss7ja [257]

First do 12-5, which equals 7. Next, subtract 1/10 from 2/5. 2/5 is the same as 4/10 if you multiply both the numerator and denominator by 2. 4/10-1/10=3/10. Now add 7 and 3/10. You will get 7 3/10 as the answer, which is letter C.)

3 0

2 years ago