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1 answer:

5 0

This is how you set up a percent of error proportion:
Amount of error x(Unknown percent)
Actual value = 100(Percents are out of hundreds)

So if you fill it in, it becomes 4 x
 80 =100
Cross multiply, 400= 80x.
Solve.
x=5 so percent error is 5%

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Pls answer my question I will mark brainliest

Naya [18.7K]

Answer:

V = 4000 cm^3

Step-by-step explanation:

The volume of the sphere is given by

V = 4/3 pi r^3

We are given the radius of 10 and are to use 3 for pi

V = 4/3 (3) * (10)^3

V = 4/3 *3 * 1000

V = 4000 cm^3

3 0

3 years ago

Write out each step of the 3-step test for continuity for the following functions at the given point. If the function is discont

balandron [24]

If we simply substitute the value x=2 in the expression we have

$f(2) = \dfrac{4-12+8}{4-2-2} = \dfrac{0}{0}$

which is undefined.

But if we factor both numerator and denominator, we have

$f(x)=\dfrac{x^2-6x+8}{x^2-x-2} = \dfrac{(x-2)(x-4)}{(x+1)(x-2)}$

Since we are studying the limit as x approaches 2, we can assume that x is not 2. In this case, we can simplify the (x-2) parenthesis, and the expression becomes

$f(x)=\dfrac{x-4}{x+1}$

And we can evaluate this at 2 with no problems:

$f(2) = \dfrac{2-4}{2+1} = -\dfrac{2}{3}$

So, we have

$\displaystyle \lim_{x\to 2}f(x) = -\dfrac{2}{3}$

This means that in this case both left and right limits exist and are the same, so the limit exists, but the function is not defined at x=2. This is a removable discontinuity, because we can define the function as its limit, and we have a continuous function at x=2:

$f(x) = \begin{cases}\dfrac{x^2-6x+8}{x^2-x-2} &\text{if }x \neq 2\\ -\frac{2}{3} &\text{if }x = 2\end{cases}$