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4 years ago

If the area of the base of a rectangular solid is tripled, what is the percent increase in its

Mathematics

1 answer:

Anni [7]4 years ago

8 0

If the height does not change, the volume is just tripled.

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Write prime factorizations of the number 18.

Nat2105 [25]

Answer:

18 is a composite number. 18 = 1 x 18, 2 x 9, or 3 x 6. Factors of 18: 1, 2, 3, 6, 9, 18.

Prime factorization: 18 = 2 x 3 x 3, which can also be written 18 = 2 x 3²

<em>hope the answer helped:)</em>

4 0

3 years ago

In Texas, the coldest temperature ever recorded is

Molodets [167]

21 degrees Fahrenheit

7 0

3 years ago

2(3/5n +3) - (2/3n-1)

borishaifa [10]

Hey there! :)

2(3/5n + 3) - (2/3n - 1)

Simplify.

(2 * 3/5n) + (2 * 3) - (2/3n -1)

Simplify.

6/5n + 6 - 2/3n + 1

Add like terms.

(6/5n - 2/3n) + (6 + 1)

Make the fractions have the same denominator by multiplying fraction 1 (6/5n) by 3/3 and fraction 2 (-2/3n) by 5/5.

6/5n * 3/3 = 18/15n

-2/3n * 5/5 = -10/15n

So, our new equation looks like this : (18/15n - 10/15n) + (6 + 1)

Simplify.

8/15n + 6 —> final answer.

Hope this helped! :)

4 0

3 years ago

Read 2 more answers

Consider the linear function that is represented by the equation Y =-10x+6 and the linear function that is represented

laiz [17]

9514 1404 393

Answer:

(a) The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept

Step-by-step explanation:

If we take the "steepness" of the slope to be the absolute value of the slope, then the line y=-10x +6 has a slope with a steepness of 10.

The line y -36 - 8(x -4) has a slope with a steepness of 8, so the first line is steeper.

The line y=-10x+6 has a y-intercept of 6. The line y-36 =8(x -4) has a y-intercept of 4, so the first line has a higher y-intercept.

The appropriate description of the two lines is ...

The function that is represented by the equation y=-10x+6 has a steeper slope and a greater y-intercept

8 0

3 years ago

Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to o

Roman55 [17]

Answer:

$Range = 11-2=9$

$\mu = \frac{2+3+4+5+6+7+8+9+10+11}{10}=6.5$

$\sigma^2 =8.25 \approx 8.3$

$\sigma = \sqrt{8.25}= 2.87 \approx 2.9$

Step-by-step explanation:

Assuming this question: "Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. 2,3,4,5,6,7,8,9,10,11 "

Solution to the problem

The range is defined as $Range = Max -Min$ and if we replace we got:

$Range = 11-2=9$

Now we can calculate the population mean with this formula:

$\mu =\frac{\sum_{i=1}^n X_i}{N}$

And if we replace we got:

$\mu = \frac{2+3+4+5+6+7+8+9+10+11}{10}=6.5$

The population variance is given by:

$\sigma^2 = \frac{\sum_{i=1}^n (X_i -\mu)^2}{N}$

And after replace we got: $\sigma^2 =8.25 \approx 8.3$

And the population standard deviation would be just the square root of the variance and we got:

$\sigma = \sqrt{8.25}= 2.87 \approx 2.9$

4 0

4 years ago