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3 years ago

What is absolute value and why is it always positive?

Mathematics

2 answers:

xxMikexx [17]3 years ago

6 0

Answer:

Step-by-step explanation:

An absolute value is the distance a number is from 0 on the number line. So, regardless if it is a negative or a positive number, the distance from that number to 0 will always be positive. For example, -5 is 5 units away from 0, and 5 is also 5 units from zero. They have the same absolute value, even though one is negative and the other is positive.

masha68 [24]3 years ago

5 0

Answer:

You can describe absolute value as a number's (Negative or positive) distance from zero.

Step-by-step explanation:

Say you have 4 and -4. 4's absolute value is four because it is four number units away from zero. -4 is a negative number but its absolute value would still be positive four because it is still four number units away from zero even though those number units are negative.

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Out of 30 questions, Ahmad answer 12 of them incorrectly. What percent of the questions did he answer correctly?

kati45 [8]

First, you would need to determine how many questions he got correct.
30 - 12 = 18

Next, you would need to create an equation for this problem. Let x represent the unknown percentage.
$\frac{18}{30}$ = $\frac{x}{100}$

Now, you would cross multiply.
30x = 1,800

The last step would be to isolate the x. To do this, you would divide both sides of the equal sign by 30.
x = 60

Ahmad got 60% of the questions correct.

I hope this helps!

7 0

3 years ago

PLEASE HELP! 20 POINTS 1) A ball is thrown starting at a time of 0 and a height of 2 meters. The height of the ball follows the

drek231 [11]

Answer:

1) The height of the ball from 0 to 5 seconds are;

At t = 0 second, height = 2

At t = 1 second, height h = 22.1

At t = 2 seconds, height h = 32.4

At t = 3 seconds, height h = 32.9

At t = 4 seconds, height h = 23.6

At t = 5 seconds, height h = 4.5

2) The correct option is;

D. -16·t² + 25·t + 1

Step-by-step explanation:

1) The equation of motion of the ball is given as follows;

H(t) = -4.9·t² + 25·t + 2

The height of the ball from 0 to 5 seconds are;

H(0) = -4.9×(0)² + 25×(0) + 2 = 2

H(1) = -4.9×(1)² + 25×(1) + 2 = 22.1

H(2) = -4.9×(2)² + 25×(2) + 2 = 32.4

H(3) = -4.9×(3)² + 25×(3) + 2 = 32.9

H(4) = -4.9×(4)² + 25×(4) + 2 = 23.6

H(5) = -4.9×(5)² + 25×(5) + 2 = 4.5

Therefore, we have;

The height of the ball are

At t = 0 second, height = 2

At t = 1 second, height h = 22.1

At t = 2 seconds, height h = 32.4

At t = 3 seconds, height h = 32.9

At t = 4 seconds, height h = 23.6

At t = 5 seconds, height h = 4.5

2) Given that the equation of the ball is that of a projectile motion, such as follows;

h = h₀ + v₀·sin(θ₀)·t - 1/2·g·t² which is equivalent to h = -1/2·g·t²+ h₀+v₀·sin(θ₀)·t

it is best represented by the quadratic equation of an upside down parabola which is option D. -16·t² + 25·t + 1

6 0

3 years ago

What does the sign ^ mean

ratelena [41]

Answer:

in the power

Step-by-step explanation:

10^2

3 0

3 years ago

Read 2 more answers

Please Help me ASAP read the problem below

SashulF [63]

PART 1: Find the surface area of each section.

The formula for finding the area of a triangle is A = 1/2(b)(h); where b = base length and h = height. And the formula for finding the area of a rectangle is A = (l)(w); where l = length and w = width.

I'll start with the gold triangles, which are both the same size so I only need to calculate once.

A = 1/2(b)(h)

A = 1/2(7)(8.6)

A = 1/2(60.2)

A = 30.1 cm²

Now, I'll find the area of the blue triangles.

A = 1/2(b)(h)

A = 1/2(12)(7)

A = 1/2(84)

A = 42 cm²

Now, I'll find the area of the rectangular base.

A = (l)(w)

A = (12)(7)

A = 84 cm²

PART 2: Find the amount of foil in each color needed to cover 1 ornament.

There are two gold triangles, so all we have to do is multiply the area of the gold triangle by 2.

(30.1)(2) = 60.2 cm²

There are two blue triangles, so all we have to do it multiply the area of the blue triangle by 2.

(42)(2) = 84 cm²

And Olga will need 84 cm² of black foil to cover the rectangular base.

PART 3: Find the total amount of foil needed to cover 1 ornament and then 100 ornaments.

To find the total amount of foil needed, just add the amounts found in the previous step.

60.2 + 84 + 84 = 228.2 cm²

Olga will need 228.2 cm² of foil to cover 1 ornament.

(228.2)(100) = 22820 cm²

Olga will need 22, 820 cm² of foil to cover 100 ornaments.

PART 4: Fill in the blanks to give your answer.

Surface area of black face(s) = 84 cm²

Surface area of blue face(s) = 84 cm²

Surface area of gold face(s) = 60.2 cm²

Total surface area of 1 ornament = 228.2 cm²

Total surface area of 100 ornaments = 22, 820 cm²

Hope this helps!

3 0

3 years ago

Help please 4 x n = -8

larisa [96]

Answer:

-2.

Step-by-step explanation:

4 x -2 = -8.

7 0

2 years ago