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2 years ago

Simplify the following expression. A. B. C. D.

Mathematics

1 answer:

Dahasolnce [82]2 years ago

5 0

Answer:

Step-by-step explanation:

Let's start by crossing everything out!

12/3 can be crossed out to 4.

a^3/a^2 can be crossed out to a.

b^6/b^4 can be crossed out into b^2.

c^5/c^5 is just 1.

So which the results we got, we can multiply them, so that it is 4ab^2.

4ab^2 is our final answer!

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−1.64 as a mixed number in simplest form.

liraira [26]

Convert to a mixed number by placing the numbers to the right of the decimal over 100. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

-41\25

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3 years ago

What is the name of the tide when the sun, moon, and earth are all aligned, causing the greatest pull for highest and lowest tid

Naily [24]

Answer:

Whenever the earth, moon and sun are aligned, the gravitational pull of the moon is augmented by the gravitational pull of the sun, causing larger than average tidal ranges — meaning especially high high tides and very low low tides. These extreme tides are called “spring tides.”

Step-by-step explanation:

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2 years ago

Read 2 more answers

Please solve with explanation I’ve been asking all day (this is not a multiple choice question)

Anastaziya [24]

Answer:

a) $SA = 522.9~cm^2$

b) $V_{cone} = 670.2~cm^3$

c) $V_{empty} = 1340.4~cm^3$

Step-by-step explanation:

For a cone,

$SA = \pi r (L + r)$

where L = slant height

$L = \sqrt{r^2 + h^2}$

We have r = 8 cm; h = 10 cm

$L = \sqrt{(8~cm)^2 + (10~cm)^2}$

$L = \sqrt{164~cm^2}$

$SA = (\pi)(8~cm)(\sqrt{164~cm^2} + 8~cm)$

$SA = 522.9~cm^2$

$V_{cone} = \dfrac{1}{3}\pi r^2 h$

$V_{cone} = \dfrac{1}{3}(\pi)(8~cm)^2(10~cm)$

$V_{cone} = 670.2~cm^3$

$V_{cylinder} = \pi r^2 h$

empty space = volume of cylinder - volume of cone

$V_{empty} = V_{cylinder} - V_{cone}$

$V_{empty} = \pi r^2 h - \dfrac{1}{3}\pi r^2 h$

$V_{empty} = (\pi)(8~cm)^2(10~cm) - \dfrac{1}{3}(\pi)(8~cm)^2(10~cm)$

$V_{empty} = 1340.4~cm^3$

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3 years ago

Which inverse operation would be used to verify the following equation? 102 ÷ 3 = 34

MA_775_DIABLO [31]

An inverse operations is the reverse of the equation. For example, since it's 102 ÷ 3 = 34, to get the inverse you would take the opposite sign of "÷" and make it "×," while changing the equal sign to make the statement true. The inverse operation used to verify this is 102 = 3 × 34

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2 years ago

A line crosses the coordinates (-3,5) and (4,-2). What is the slope of the line?

ICE Princess25 [194]

Answer:

Slope = -1

Step-by-step explanation:

$\frac{-2-5}{4-(-3)}=\frac{-7}{7} =-1$

8 0

3 years ago