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4 years ago

Are the values of the expressions 2m−13 and m+3 equal?

Mathematics

1 answer:

Ket [755]4 years ago

4 0

Answer:

The correct answer is m=8

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Factor the following using greatest common factor 6x^2y^3 - 3x^5yz +15x^2y^2

Georgia [21]

Answer:

-3 x^2 y (x^3 z - 2 y^2 - 5 y)

Step-by-step explanation:

6(x^2)(y^3)

3(x^5)(y)(z)

15(x^2)(y^2)

take the least power:

x : 2

y : 1

z : 0

6,3,15: 3

Greatest common factor:

3(x^2)(y)

Factorize:

-3 x^2 y (x^3 z - 2 y^2 - 5 y)

8 0

3 years ago

Brianna is twice as old as James . David is four times as old as James. Brianna is 20 years younger than David. How old is David

IrinaK [193]

Answer:

David might be 40

Step-by-step explanation:

Brianna = 20 + 20 = 40 = David

James = 10 x 2 = Brianna

David = 40 - 20 = Brianna

8 0

4 years ago

Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 181.5 square cen

3241004551 [841]

Answer:

The base and height of the solid is 5.5cm

Step-by-step explanation:

Given

$Surface\ Area = 181.5cm^2$

Required

Determine the dimensions that maximizes the volume

Let the base dimension be x and the height be h

The volume is calculated as:

$Volume =x^2 * h$

$Volume =x^2h$

181.5 =x^2h

The surface area (S) is calculated as this:

$S = 2(x^2 + xh + xh)$

$S = 2(x^2 + 2xh)$

$S = 2x^2 + 4xh$

Substitute 181.5 for S

$181.5 = 2x^2 + 4xh$

Make h the subject:

$4xh = 181.5 - 2x^2$

$h = \frac{181.5 - 2x^2}{4x}$

Substitute $h = \frac{181.5 - 2x^2}{4x}$ in $Volume =x^2h$

$V = x^2(\frac{181.5 - 2x^2}{4x})$

$V = x(\frac{181.5 - 2x^2}{4})$

$V = \frac{1}{4}(x)(181.5 - 2x^2)$

$V = \frac{181.5x}{4} - \frac{2x^3}{4}$

$V = \frac{181.5x}{4} - \frac{x^3}{2}$

To get the maximum, we differentiate V with respect to t and set the differentiation to 0

$dV = \frac{181.5}{4} - \frac{3x^2}{2}$

Set to 0

$0 = \frac{181.5}{4} - \frac{3x^2}{2}$

$\frac{3x^2}{2} = \frac{181.5}{4}$

Multiply through by 4

$4 * \frac{3x^2}{2} = \frac{181.5}{4} * 4$

$2*3x^2 = 181.5$

$6x^2 = 181.5$

$x^2 = \frac{181.5}{6}$

$x^2 = 30.25$

$x = \sqrt{30.25$

$x = 5.5$

Recall that:

$h = \frac{181.5 - 2x^2}{4x}$

$h = \frac{181.5 - 2 * 5.5^2}{4 * 5.5}$

$h = \frac{181.5 - 60.5}{22}$

$h = \frac{121}{22}$

$h = 5.5$

So, we have:

$h = 5.5$

$x = 5.5$

<em>Hence, the base and height of the solid is 5.5cm</em>

7 0

3 years ago

A factory worker can pagage 150 in 15 minutes. how many games can he page per minute?

meriva

He can package 10 games in one minute because I divided 150 by 15.

5 0

4 years ago

Find the slope of the line through the points (10,5) and (4,5)

kenny6666 [7]

Answer:m = 0 / -6 = 0

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers