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3 years ago

What is the length of cd

Mathematics

1 answer:

Mars2501 [29]3 years ago

5 0

Answer:

Standard CDs have a diameter of 120 millimetres (4.7 in) and can hold up to about 80 minutes of uncompressed audio or about 700 MiB of data.

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Re-write the equation without the h component.

levacccp [35]

Answer:

$f(x) = 2[\frac{3^x}{9}] + 2$

$f(x) = 8(4)^x$

Step-by-step explanation:

Given

$f(x) = 2(3)^{x-2} + 2$

$f(x) = \frac{1}{2}(4)^{x+2}$

Required

Remove the h component

In a function, the h component is highlighted as:

$f(x) = a^{x+h}$

So, we have:

$f(x) = 2(3)^{x-2} + 2$

Split the exponents using the following law of indices:

$a^m/a^n = a^{m-n}$

$f(x) = 2*\frac{3^x}{3^2} + 2$

$f(x) = 2*\frac{3^x}{9} + 2$

$f(x) = 2[\frac{3^x}{9}] + 2$

<em>The h component has been removed</em>

$f(x) = \frac{1}{2}(4)^{x+2}$

Split the exponent using the following law of indices

$a^{m+n} =a^m * a^n$

So, we have:

$f(x) = \frac{1}{2}(4)^x * 4^2$

Express 4^2 as 16

$f(x) = \frac{1}{2}(4)^x * 16$

Divide 16 by 2

$f(x) = 8(4)^x$

3 0

2 years ago

Proper angle for a ladder is about 75° from the ground. Suppose you have a 10 foot ladder. How far from the house should you pla

Alja [10]

Answer:

The base of the ladder is 2.58 m.

Step-by-step explanation:

Given that,

The angle of elevation for a ladder from the ground is 75°.

The length of a ladder, H = 10 foot

We need to find the distance from the house should you place the base of the latter. Let the base of the ladder is b. Using trigonometry,

$\cos\theta=\dfrac{B}{H}\\\\B=H\times \cos\theta\\\\B=10\times \cos(75)\\\\B=2.58\ m$

So, the base of the ladder is 2.58 m.

8 0

2 years ago

A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop

Katyanochek1 [597]

Answer: $(0.367,\ 0.473)$

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where $\hat{p}$ is the sample proportion, n is the sample size , $z_{\alpha/2}$ is the critical z-value.

Given : Significance level : $\alpha:1-0.99=0.01$

Sample size : n= 85

Critical value : $z_{\alpha/2}=2.576$

Sample proportion: $\hat{p}=\dfrac{36}{85}\approx0.42$

Now, the 99% confidence level will be :

$\hat{p}\pmz_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.42\pm(2.576)\sqrt{\dfrac{0.42(1-0.42)}{85}}\\\\\approx0.42\pm0.053\\\\=(0.42-0.053,\ 0.42+0.053)=(0.367,\ 0.473)$

Hence, the 99% confidence interval estimate of the true proportion of families who own at least one DVD player is $(0.367,\ 0.473)$

3 0

2 years ago

Melanie wants to create a pattern using a transformation that will change the orientation of a figure but not the orientation of

Ira Lisetskai [31]

Answer:

Rotations

Step-by-step explanation:

The orientation of the figure is how the whole shape appearance. You don't need to name vertice to determine the orientation of the figure. It will not change from translations and dilations, so these two are out of option.

The orientation of vertices, on the other hand, needs you to know the vertice name. It can be expressed as clockwise or counterclockwise. The orientation of vertice will be preserved for translations, rotations, and dilations so it should be one of them. Notice that translation and dilation already out of option so the answer will be rotations.

4 0

3 years ago

please only answer if you know the correct answer and answer all question please please please please please

chubhunter [2.5K]

Answer:

Part A: B) 3

Part B: $40

4. -1

7. 5x + 6y

8. Part A: y = 20x

8. Part B: $300

9. e > 12000 pounds

Step-by-step explanation:

Part A: x = 5t + 5

20 = 5t +5

15 = 5t

t = 3

Part B: x = 5t + 5

x = 5(7) + 5

x = 35 +5

x = 40

4. 24 - 5^2

24 - (5*5)

24 - 25 = -1

7. 2x + 4y + 5 + 2y - 5 + 3x

2x + 3x = 5x

4y + 2y = 6y

5 + (-5) = 0

5x + 6y

8. Part A:

Total = y

Lawns = x

Amount = $20

so y = 20x

8. Part B:

y = 20x

y = 20(15)

y = 300

9. The elephant weighs more than 12000 pounds

Elephant = e

More than = >

Pounds = 12000

e > 12000 pounds

7 0

2 years ago