Which is the rate of change for the interval between 3 and 6 on the x-axis?
-3
-2
2
3​

Answer:

The amount of metal recovered at the eight pass is approximately 4.27 kg

Step-by-step explanation:

The mass of metal recovered formed the following geometric sequence;

32 kg, 24 kg, 18 kg, 13.5 kg

∴ The first term, a = 32 kg

The common ratio in the geometric sequence is found as follows;

r = a·r/a = 24 kg/(32 kg) = 0.75

r = a·r²/a·r = 18 kg/(24 kg) = 0.75

r = a·r³/a·r² = 13.5 kg/(18 kg) = 0.75

The mass of the metal recovered in the eight pass will be the 8th term of the geometric series given as follows;

nth term = a·rⁿ⁻¹

a = 32, r = 0.75, n = 8

∴ 8th term = 32·(0.75)⁸⁻¹ = 32·0.75⁷ = 2187/512 ≈ 4.27

The amount of metal recovered at the eight pass ≈ 4.27 kg.

The eight term of the geometric sequence is 4.27.

A geometric sequence is in the form:

aₙ = ar⁽ⁿ⁻¹⁾

where aₙ is the nth term, a is the first term and r is the common difference.

Given that a = 32, r = 24/32 = 0.75

The eight term is a₈ = 32(0.75)⁸⁻¹ = 4.27

The eight term of the geometric sequence is 4.27.

Find out more on Geometric sequence at: https://brainly.com/question/9300199

Answer:

When the line of the graph is going up

Step-by-step explanation:

When the line is going down that means its a exponential decay :)

Answer:

15 square feet

Step-by-step explanation:

Answer:

28 feet

Step-by-step explanation:

Since each side length of the square is 1 foot.

Let x represent the length of the small slant side and y represent the length of the long slant side. Hence:

x² = 5² + 1²

x² = 26

x = √26 = 5.1 feet

y² = 6² + 3²

y² = 45

y = 6.7 feet

The perimeter of the figure is the sum of all the sides of the figure, hence:

Perimeter = 11 feet + 4 feet + 5.1 feet + 6.7 feet + 2 feet = 28.8 feet

Therefore the best estimate of the perimeter of the figure below is 28 feet.

Answer:

30

Step-by-step explanation:

Answer:

Area of the sector = [tex]\frac{\pi }{8}[/tex] cm²

Step-by-step explanation:

Measure of the given arc = 45°

Central angle formed by the arc = 45°

Formula to be used,

Area of the sector bounded by the arc = [tex]\frac{\text{Central angle}}{360}\times \pi r^{2}[/tex]

Here, r = radius of the circle

Area of the sector = [tex]\frac{45}{360}(\pi)(1)^2[/tex]

                               = [tex]\frac{\pi }{8}[/tex] cm²

Answer:

1. $48

2.$49

3.$91

4.$12

Step-by-step explanation:

For 1 and 2

To find the sale price, you find out how much is the percentage of the original price. Example :

(20/100)/60 = $12

So $12 is the discount

thus sales price will be $60-$12=$48

Same thing for no.2, find the amount of the percentage and subtract it from the original price

For 3 and 4

To find the original price

1. Subtract the percentage from 100%

2. Multiply the sales price by 100

3. Divide the ans from no.2 by ans from no.1

Example :

100%-40%=60%

$54.60×100=5460

$5460÷60%= $91 (original price)

Same thing for no.4

Hope this helps haha

Answer:

x = 10

Step-by-step explanation:

Answer5

34

Step-by-step explanation: 45

Answer:

0.09

Step-by-step explanation:

9/100 as a decimal is 0.09.

Answer:

0.09!

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

0.09 is your answer!

Hope this helped.

Signed ~Jaz~

Answer:

600 cubic units.

Step-by-step explanation:

The formula for a rectangular pyramid is[tex]V=\frac{lwh}{3}[/tex] or volume is equal to length x width x height divided by 3. The length is 15, the width is 10, and the height is 12. This equals to 1800, then we divide it by three for the answer.

Answer:

32/12

Step-by-step explanation:

To calculate the tangent you need to divide the opposite side by the adjacent side: 70/24=35/12

Answer:

tan G = 2.9167

Step-by-step explanation:

tan G = 70/24

tan G = 2.9167

Answer:

x > -5

Step-by-step explanation:

-3x > 15

divide by -3

x > -5

Answer: x<-5

Step-by-step explanation:

First, we must isolate x in order to graph the inequality properly. To solve for x, you must divide each side by -3. Because you are dividing by a negative number, you must switch the side around. So, the inequality would be [tex]x<-5[/tex]t.To graph this, you must put a veritcal dotted line (since the equation has a less than symbol) and shade to the left (this shows all  the possiblilties of what x could be. Or, if you were to graph it on a number line, put an open circle on -5 and draw an arrow left from the dot.  Hope this helps!

Answer:

a

Step-by-step explanation:

Step-by-step explanation

the third one

Step-by-step explanation:

Let's solve for y.

8x−3y>11

Step 1: Add -8x to both sides.

8x−3y+−8x>11 −8x −3y>−8x+11

Step 2: Divide both sides by -3.

−3y/−3 > −8x+11/−3

y<8/3x−11/3

Answer:

y<8/3x−11/3

Step-by-step explanation:

[tex] \sqrt{y3} \times \sqrt{y3} [/tex]

[tex] \sqrt{y3 \times y3} [/tex]

[tex] \sqrt{y3 + 3} [/tex]

[tex] \sqrt{y6} [/tex]

Answer:

D.

Step-by-step explanation:

[tex]y = 3x \\ \frac{y}{3} = x \\ \\ \frac{3y}{3} + 2y = 45 \\ y + 2y = 45 \\ 3y = 45 \\ y = \frac{45}{3} \\ y = 15 \\ \\ x = \frac{y}{3} \\ = \frac{15}{3} \\ = 5[/tex]

Answer:

8

Step-by-step explanation:

1 video game = 9

? = 72

72/9=8

Answer:

8

Step-by-step explanation:

The radius of the circle is 17 feet. Then the area of the circle is 907.46 square feet.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be given as,

A = πr² square units

The diameter of the circle is 34 feet. Then the radius of the circle is calculated as,

r = 34 / 2

d = 17 feet

The area of the circle is calculated as,

A = πr²

A = 3.14 x 17 x 17

A = 907.46 square feet

More about the area of a circle link is given below.

https://brainly.com/question/11952845

#SPJ2

Answer:

1/12 yard

Step-by-step explanation:

divide the total length by the amount of pieces

3/4 / 9

or multiply the bottom number by 9

4 *9 then divide by 3

36/3 = 12 and put it under 1

1/12

Answer:

1/3

Step-by-step explanation:

(5 + 4 + 3 + 3) x 2 = 30

Multiplied by two because two marbles are being picked.

10/30 = 1/3