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3 years ago

Explain how you can find the opposite of the opposite of any number without using a number line

1 answer:

4 0

Just make that number negative to find the opposite but the opposite of the negative number is going to be the original number again.

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5q greater than or equal to 8q -3/2

kakasveta [241]

5q ≥ 8q - 3/2

Add 3/2 to both sides.

3/2 + 5q ≥ 8q

Subtract 5q from both sides.

3/2 ≥ 3q

Multiply both sides by 2.

3 ≥ 6q

Divide both sides by 6.

0.5 ≥ q.

The value of q is less than or equal to 0.5.

8 0

3 years ago

Brianna is getting materials for a chemistry experiment. Her teacher gives her a container that has 0.25 liter of a liquid in it

IgorC [24]

Answer: 0.1 liter

Step-by-step explanation:

From the question, we are informed that Brianna teacher gives her a container that has 0.25 liter of a liquid in it and she needs to use 0.4 of this liquid for the experiment.

The amount of liquid that Brianna will use will be:

= 0.4 × 0.25 liters

= 0.1 liter

6 0

3 years ago

Evaluate the integral. W (x2 y2) dx dy dz; W is the pyramid with top vertex at (0, 0, 1) and base vertices at (0, 0, 0), (1, 0,

In-s [12.5K]

Answer:

$\mathbf{\iiint_W (x^2+y^2) \ dx \ dy \ dz = \dfrac{2}{15}}$

Step-by-step explanation:

Given that:

$\iiint_W (x^2+y^2) \ dx \ dy \ dz$

where;

the top vertex = (0,0,1) and the base vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0), and (1, 1, 0)

As such , the region of the bounds of the pyramid is: (0 ≤ x ≤ 1-z, 0 ≤ y ≤ 1-z, 0 ≤ z ≤ 1)

$\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \int ^{1-z}_0 \int ^{1-z}_0 (x^2+y^2) \ dx \ dy \ dz$

$\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \int ^{1-z}_0 ( \dfrac{(1-z)^3}{3}+ (1-z)y^2) dy \ dz$

$\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \ dz \ ( \dfrac{(1-z)^3}{3} \ y + \dfrac {(1-z)y^3)}{3}] ^{1-x}_{0}$

$\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \ dz \ ( \dfrac{(1-z)^4}{3}+ \dfrac{(1-z)^4}{3}) \ dz$

$\iiint_W (x^2+y^2) \ dx \ dy \ dz =\dfrac{2}{3} \int^1_0 (1-z)^4 \ dz$

$\iiint_W (x^2+y^2) \ dx \ dy \ dz =- \dfrac{2}{15}(1-z)^5|^1_0$

$\mathbf{\iiint_W (x^2+y^2) \ dx \ dy \ dz = \dfrac{2}{15}}$

7 0

3 years ago

What is the value of x?

Blizzard [7]

check the picture below.

so, when we have a line from a 90° angle running perpendicular to the opposite side, like in this case, we end up with three similar triangles, a large one containing the other two, a medium and a small one.

now, using the sides proportions as you see there, of the small and large one, we get that much.

3 0

3 years ago

How to do -7x-3x+2=8x-8

zavuch27 [327]

If you would like to solve the equation - 7 * x - 3 * x + 2 = 8 * x - 8, you can calculate this using the following steps:

- 7 * x - 3 * x + 2 = 8 * x - 8
- 7 * x - 3 * x - 8 * x = - 8 - 2
- 18 * x = - 10 /(-18)
x = 10 / 18
x = 5/9

The correct result would be 5/9.

7 0

3 years ago

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