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3 years ago

What is linear and non-linear?

2 answers:

8 0

Linear means that the variable only is to the first power. Non-linear means that the variable has a power of more than one.

For example, a linear variable could look like $x^{1}$ or $x$ and a non-linear variable could look like $x^{2}$ or $x^{3}$

bagirrra123 [75]3 years ago

4 0

Answer:

The word 'linear' means something having to do with a line.On a Cartesian Plane, a linear function is a function where the graph is a straight line. The line can go in any direction, but it's always a straight line. A non-linear function has a shape that is not a straight line.

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Help thank u!

riadik2000 [5.3K]

Answer:

133

Step-by-step explanation:

$3500 - $1500 = $2000

2000/1500 ×100

=1.33 × 100

=133%

5 0

2 years ago

What percent of 2b is: 0.04b; 0.2b; 0.56b; 1.8b; 2.5b; 3b; By what percent are they each larger or smaller than 2b?

Marina86 [1]

Answer:

1. 0.04b. 0.04b is 2% of 2b. It is smaller than 2b by 98%.

2. 0.2b. 0.2b is 10% of 2b. It is smaller than 2b by 90%.

3. 0.56b. 0.56b is 28% of 2b. It is smaller than 2b by 72%.

4. 1.8b. 1.8b is 90% of 2b. It is smaller than 2b by 10%.

5. 2.5b. 2.5b is 125% of 2b. It is larger than 2b by 25%.

6. 3b. 3b is 150% of 2b. It is larger than 2b by 50%.

Step-by-step explanation:

1. 0.04b

For all the cases, we will use Rule of Three, this way.

Percentage * 2 = 100 * 0.04

Percentage = (100 * 0.04)/2 (Dividing by 2 at both sides)

Percentage = 4/2 = 2%

0.04b is 2% of 2b. It is 98% smaller than 2b.

For all cases, we will use (100 - x) for calculating how smaller or larger the expression is related to 2b, where x is the percentage of the expression itself). In this case, 100 - 2 = 98.

2. 0.2b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 0.2

Percentage = (100 * 0.2)/2 (Dividing by 2 at both sides)

Percentage = 20/2 = 10%

0.2b is 10% of 2b. It is 90% smaller than 2b.

3. 0.56b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 0.56

Percentage = (100 * 0.56)/2 (Dividing by 2 at both sides)

Percentage = 56/2 = 28%

0.56b is 28% of 2b. It is 72% smaller than 2b.

4. 1.8b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 1.8

Percentage = (100 * 1.8)/2 (Dividing by 2 at both sides)

Percentage = 180/2 = 90%

1.8b is 90% of 2b. It is 10% smaller than 2b.

5. 2.5b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 2.5

Percentage = (100 * 2.5)/2 (Dividing by 2 at both sides)

Percentage = 250/2 = 125%

2.5b is 125% of 2b. It is 25% larger than 2b.

In this case, 100 - 125 = -25. It means the second expression is larger than 2b by 25%.

6. 3b.

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 3

Percentage = (100 * 3)/2 (Dividing by 2 at both sides)

Percentage = 300/2 = 150%

3b is 150% of 2b. It is 50% larger than 2b.

In this case, 100 - 150 = -505. It means the second expression is larger than 2b by 50%.

6 0

3 years ago

Manuel bought a balloon (that is a perfect sphere) with a radius of 2 \text{ cm}2 cm2, space, c, m. He wanted his balloon to be

jonny [76]

The original volume of the balloon is given by:
V1 = (4/3) * (pi) * (r ^ 3)
Where,
r: radius of the sphere.
Substituting values:
V1 = (4/3) * (pi) * (1 ^ 3)
V1 = (4/3) * (pi) * (1)
Then, the volume of the current sphere is:
V2 = (4/3) * (pi) * ((1 + 2 * (1)) ^ 3)
V2 = (4/3) * (pi) * ((1 + 2) ^ 3)
V2 = (4/3) * (pi) * ((3) ^ 3)
V2 = (4/3) * (pi) * (27)
The relation of volumes is:
V2 / V1 = ((4/3) * (pi) * (27)) / ((4/3) * (pi) * (1))
V2 / V1 = 27/1
Answer:
The ratio of the current volume of the balloon to the original volume of the balloon is:
27: 1

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3 years ago

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