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djverab [1.8K]
3 years ago
14

Please help me I will really appreciate it!!!

Mathematics
1 answer:
slega [8]3 years ago
5 0

Answer:

<em />\displaystyle  r=\sqrt[3]{\frac{3V}{4\pi}}<em />

<em>The last option matches the correct solution</em>

Step-by-step explanation:

<u>Equation Solving</u>

We have the following equation:

\displaystyle V=\frac{4}{3}\pi r^3

And it's required to solve it for r.

Solving this equation needs to perform some operations to have the r isolated from any other variables or constants.

It can be done by conveniently operating on both sides as follows:

Eliminate the denominator by multiplying by 3:

\displaystyle 3V=4\pi r^3

Move 4\pi to the other side by dividing by 4\pi:

\displaystyle \frac{3V}{4\pi}= r^3

Swapping sides to have r at the left side:

\displaystyle  r^3=\frac{3V}{4\pi}

Finally, take the cubic root and leave r alone:

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

The last option matches the correct solution

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A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which
Aloiza [94]

Answer:

\frac{4cm}{1year}*\frac{10mm}{1cm}*\frac{1year}{365days}

Step-by-step explanation:

Whenever we are doing unit conversions, we have to remember to make the first ratio and then each successive ratio should be put <em>in such a way</em> that the top and bottom cancels out with each unit and whatever we want, remains.

A simple example would be if we were to just convert from cm to mm. Suppose we want to convert 5 centimeters to millimeters. We can write the ratios is 2 ways:

First:

5cm*\frac{10mm}{1cm}

Second:

5cm*\frac{1cm}{10mm}

The first one is correct since we want mm, mm should be on top and cm should be on bottom form cm and cm to get canceled.

Now, for our problem, we want mm on top and day on bottom. So, cm and year should cancel. Looking at the first choice, the conversion factors are correct & skimming through, we see that

cm and cm cancels (top and bottom), also year and year cancels (top and bottom), it will leave us with mm on top and days on bottom, <em>which is what we want</em>.

First answer choice is right.

6 0
3 years ago
Read 2 more answers
Given that ​f(x) = x + 4 and ​g(x)​ = x^{2} - x, find ​(f​ + g)(​5), if it exists.
user100 [1]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
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Please help me with the questions
Grace [21]

Answer:

x = 5

x = 2

Step-by-step explanation:

2(2x + 4) = 8x - 12

2x + 4 = 4x - 6

x + 2 = 2x - 3

x = 5

Question 17

8/4 = (x + 2)/(2x - 2)

2(2x - 2) = x + 2

4x - 4 = x + 2

3x = 6

x = 2

4 0
2 years ago
What fractions are equivalent to 28/32
marin [14]
The answer is 7/8. 28/4 = 7, 32/4=8.
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3 years ago
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If some one could help me with these three questions I will be stoked!!!please please help me my teacher didn’t walk us through
salantis [7]

17) replace the given number for "x" and evaluate

a) x² + 2x + 1   ; when x = 3

  3² + 2(3) + 1

= 9 + 6 + 1

= 16

b) x² + 2x + 1   ; when x = -4

  (-4)² + 2(-4) + 1

= 16 - 8 + 1

= 9

c) x² + 2x + 1   ; when x = 3

  (-22.872)² + 2(-22.872) + 1

= 523.128384 - 45.744 + 1

= 478.384384

18) The dependent variable is affected by the other variable and is the "output"   The independent variable is the input.

a) y = 3x - 5;    "x" is the independent variable

b) the time of day is the independent variable  (you would input the time of day to calculate the temperature).

19) Let the x-axis represent the length of the lumber cut off and the y-axis represent the length of the lumber remaining.

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3 years ago
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