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amm1812
3 years ago
8

The circumference (C) C of a swimming pool is 56 feet. Which formula can you use to find the diameter (d) d if you know that C=π

d

Mathematics
2 answers:
Annette [7]3 years ago
4 0
Hope it help you dude

LiRa [457]3 years ago
3 0

Since you are solving for diameter, and the equation is given to you, just isolate the variable for diameter (d).

(C)/π = (πd)/π

d = C/π is your formula you will use.

Plug in 56 for C

d = 56/π

d = ~17.825

~

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Which expression is equivalent to (5^4)^2<br> A. 25^8<br> B. 20^2<br> C. 5^8<br> D. 5^6
Yuliya22 [10]

Answer:

C. 5^8

to raise a power to another power, multiply the exponents

then multiply thr numbers

then u get 5^8

6 0
3 years ago
Help please soon please
DENIUS [597]

Answer:

25.12cm

Step-by-step explanation:

So we first find the area of the circle on top:

area= \pi2^{2} or 3.14 x 2^{2}

which equals 12.56

Then we multiply it by 2:

12.57 x 2 = 25.12

So the lateral surface area is 25.12cm

6 0
2 years ago
How do we derive the sum rule in differentiation? (ie. (u+v)' = u' + v')
olganol [36]

It follows from the definition of the derivative and basic properties of arithmetic. Let <em>f(x)</em> and <em>g(x)</em> be functions. Their derivatives, if the following limits exist, are

\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h\text{ and }g'(x)\lim_{h\to0}\frac{g(x+h)-g(x)}h

The derivative of <em>f(x)</em> + <em>g(x)</em> is then

\displaystyle \big(f(x)+g(x)\big)' = \lim_{h\to0}\big(f(x)+g(x)\big) \\\\ \big(f(x)+g(x)\big)' = \lim_{h\to0}\frac{\big(f(x+h)+g(x+h)\big)-\big(f(x)+g(x)\big)}h \\\\ \big(f(x)+g(x)\big)' = \lim_{h\to0}\frac{\big(f(x+h)-f(x)\big)+\big(g(x+h)-g(x)\big)}h \\\\ \big(f(x)+g(x)\big)' = \lim_{h\to0}\frac{f(x+h)-f(x)}h+\lim_{h\to0}\frac{g(x+h)-g(x)}h \\\\ \big(f(x)+g(x)\big)' = f'(x) + g'(x)

5 0
3 years ago
An electronic device factory is studying the length of life of the electronic components they produced. The manager selects two
Temka [501]

Answer:

The confidence interval will be given by:

200000 \pm 44.72z, in which z is related to the confidence level.

For a confidence level of x%, z is the value in the z-table that has a pvalue of 1 - \frac{1 - z}{2}

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In the context of this problems:

It means that the sampling distributions of the sample mean of 500 components will be approximated normal, with mean 200,000 and standard deviation s = \frac{1000}{\sqrt{500}} = 44.72

To build the confidence interval:

The confidence interval for the average length of life of the electronic components they produced will be given by:

200000 \pm 44.72z, in which z is related to the confidence level.

For a confidence level of x%, z is the value in the z-table that has a pvalue of 1 - \frac{1 - z}{2}

3 0
3 years ago
I am stuck with question 9.b on Algebra
MrMuchimi
The answer is f= 2e+g / 3 I think
3 0
3 years ago
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