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3 years ago

Solve the equation for x. 8(2x − 6) = 96

Mathematics

2 answers:

Andrej [43]3 years ago

6 0

Divide both sides by the numeric factor on the left side then solve x=9

Naily [24]3 years ago

6 0

The answer is x=9 that’s the answer to the equation

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The formula for the volume sphere is V=4/3pie r^3 what is the formula solved for r?

oksian1 [2.3K]

Answer:

$r = \sqrt[3]{\frac{3V}{4 \pi}}$

Step-by-step explanation:

From the formula of volume of a sphere we have to isolate "r" on one side of the equation i.e. we have to make "r" the subject of the equation.

$V=\frac{4}{3} \pi r^{3}\\\\ \text{Multiplying both sides by 3/4 we get}\\\\\frac{3V}{4} = \pi r^{3}\\\\ \text{Dividing both sides by } \pi \\\\ \frac{3V}{4 \pi} = r^{3}\\\\\text{Takeing cube root of both sides}\\\\\sqrt[3]{\frac{3V}{4 \pi}} = r$

Therefore:

$r = \sqrt[3]{\frac{3V}{4 \pi}}$

3 0

3 years ago

Read 2 more answers

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is

lidiya [134]

Answer:

The value of t test statistics is -2.25.

Step-by-step explanation:

We are given that a manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is believed that the machine is under filling the bags.

A 25 bag sample had a mean of 393 grams with a standard deviation of 20.

Let $\mu$ = mean filling of bags by the machine.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 402 gram {means that the the machine is not under filling the bags}

Alternate Hypothesis, $H_A$ : $\mu$ < 402 gram {means that the the machine is under filling the bags}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean bag filling = 393 grams

s = sample standard deviation = 20 grams

n = sample of bags = 25

So, test statistics = $\frac{393-402}{\frac{20}{\sqrt{25} } }$ ~ $t_2_4$

= -2.25

The value of t test statistics is -2.25.

5 0

3 years ago

What is the slope intercept form of y-(-11)=x-(-11)/

galina1969 [7]

Answer:

is this correct. I hope it is

4 0

3 years ago

What is 21000 rounded to the nearest ten thousand

denpristay [2]

A number rounded to the nearest 10000, means that the last four digits of that number (on the left of the decimal point) are 0.
However, if the fourth-last digit to the left of the decimal point is 5 or greater, the number to the left of that is rounded to 1 number higher. For example, if you were rounding 145293 to the nearest 10000, it would be 150000.

However, the fourth-last digit to the left of the decimal point in this case is 1.
Therefore, 21000 rounded to the nearest 10000 is 20000.

4 0

3 years ago

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What is the density of a paperclip with a volume of 2 ml and a mass of 3 grams?

nirvana33 [79]

Answer:

1.5 grams per millimeters cubed

Step-by-step explanation:

The formula for density is D=M÷V

Just divide 3 by 2 and you are done.

4 0

2 years ago