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3 years ago

Simplify -4x^5 - 42x^5

Mathematics

1 answer:

Volgvan3 years ago

5 0

Answer:

−46x^5

Step-by-step explanation:

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A candle manufacturer sells cylindrical candles in sets of three. Each candle in the set is a different size. The smallest candl

dem82 [27]

Answer:

A. 27 π cubic inches

Step-by-step explanation:

The volume of a cylinder is calculated using the formula;

$Volume=\pi r^2h$

From the given information, the smallest candle has a radius of 0.5 inches and a height of 3 inches.

We substitute $r=0.5$ and $h=3$ into the given formula.

The vlume of the smallest candle is

$Volume=\pi \times0.5^2\times 3$

$Volume=\frac{3}{4}\pi in^3$

from the given information, the other two candles are scaled versions of the smallest, with scale factors of 2 and 3.

The volume of the other two candles will be $2^3\times \frac{3}{4}\pi=6\pi in^3$ and $3^3\times \frac{3}{4}\pi=\frac{81}{4}\pi in^3$

The wax needed to create one set of candle is

$\frac{3}{4}\pi+6\pi+\frac{81}{4}\pi=27\pi\: in^3$

The correct answer is A

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4 years ago

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which inequality is represented by this graph? A. y<- 1/5x + 1 B. y< - 1/5 x + 1 C. y> - 1/5x + 1 D. y> -1/5 x +1

Molodets [167]

The inequality represented by the graph is $y < -\frac 15x + 1$

<h3>How to determine the inequality?</h3>

The attached image represents the missing piece of the question

From the graph, we can see that the inequality is represented by dotted lines and the down region is shaded.

This is represented using the less than sign.

So, the inequality is calculated using:

$y < \frac{y_2 -y_1}{x_2 -x_1} * (x -x_1) + y_1$

Where:

(x1, y1) = (0, 1) and (x2, y2) = (5,0)

So, we have:

$y < \frac{0 -1}{5-0} * (x -0) + 1$

Evaluate

$y < -\frac 15x + 1$

Hence, the inequality represented by the graph is $y < -\frac 15x + 1$