Determine if each statement is true or false based on the diagram.

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:

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~

Answer5

34

Step-by-step explanation: 45

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:

D) (-2,0)

Step-by-step explanation:

(-2,0)

(-2-2)²+(y+3)²=25

16+9=25

25=25

Answer:no

Step-by-step explanation: because it is an acute triangle

Answer:

The answer is very clear is 2/3

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

hi is 27 because u x all and all is27ggghgghugghgf

Answer:

First angle would be 31°, second angle would be 59°

Step-by-step explanation:

You can use the equation 90° = a + (2a - 3°), where a is the measure of your smaller angle.

simplify:

90° = 3a - 3°

93° = 3a

31° = a

let your second angle equal (2a - 3°)

(2(31°) - 3°) = 59°

Answer:

It should be y=4x-7

Step-by-step explanation:

M is the slope meaning Δx over Δy or rise over run

So if you look at (2,2) and count up to (3,6) the rise is 4 and the run is 1 meaning the slope is 4.

B is the y- intercept so then it would just be -7.

9514 1404 393Answer:

  y=4x-6

Step-by-step explanation:

The line intersects the y-axis at y=-6, so that is the value of 'b' in the slope-intercept form.

The horizontal difference between marked points is 1 unit; the vertical difference is 4 units. That means the slope is . . .

  m = rise/run = 4/1 = 4

Filling in these values (m=4, b=-6), we get ...

  y = 4x -6

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:

c

Step-by-step explanation:

Answer:

C) 80°

Step-by-step explanation:

By exterior angle theorem

? = 113° - 33°

? = 80°

Answer:

D.

Step-by-step explanation:

Answer:

Step-by-step explanation:

To compare the fractions, give them a common denominator.

⅔ = 16/24

⅜ = 9/24

¾ = 18/24

⅜ < ⅔ < ¾

Answer:

yes

Step-by-step explanation:

I think

Answer: The answer is the 3rd one

Step-by-step explanation:

9514 1404 393

Answer:

  (d)  AE = (32√6)/3

Step-by-step explanation:

The side length ratios in a 30-60-90 triangle are 1 : √3 : 2. In a 45-45-90 triangle, they are 1 : 1 : √2.

So, we have the side length ratios ...

  CE : CD = 2 : √3

  BE : CE = √2 : 1

  AE : BE = 2 : √3

Then the ratio AE : CE is ...

  [tex]\dfrac{AE}{CD}=\dfrac{2}{\sqrt{3}}\cdot\dfrac{\sqrt{2}}{1}\cdot\dfrac{2}{\sqrt{3}}=\dfrac{4\sqrt{2}}{3}[/tex]

Multiplying by the length of CD, we have ...

  AE = (8√3)(4√2)/3

  AE = (32√6)/3 . . . . . matches the last choice

Answer:

$45.65 total

Step-by-step explanation:

Answer:

45.65

Step-by-step explanation:

Answer:

y-intercept is (0, 3)

Step-by-step explanation:

To find the y-intercept, substitute in 0 for x and solve for y.

Answer:

8

Step-by-step explanation:

1 video game = 9

? = 72

72/9=8

Answer:

8

Step-by-step explanation:

Answer: 1st circle 0.42n

Step-by-step explanation:

Answer:

p=0.42n

Step-by-step explanation:

Im not sure but if you do 2.52 divided by 6 you get 0.42 so my answer is A (p=0.42n)

Answer:

Step-by-step explanation:

i d k

Answer:

-|-4|

any number when we out from abslute value becomes positive so

-(4)=-4

Answer:

Step-by-step explanation:

If [tex]f(x) = x[/tex]. then you would use the x in that equation to plug in for the x in the equation [tex]g(x)=[/tex] [tex]-x^{2} - 2[/tex]

Answer:

Step-by-step explanation:

First add all of the numbers together

25+22+13+14+21=82

Now add a variable like X since we don't know the age of the sixth, and divide it by 6 since there are 6 people in the class.

82+X/6=22

(22 is the mean age)

Now solve for the equation

82+X=132

so X =50

Answer: Willie runs 11 miles in 77 minutes.

Step-by-step explanation:

To know how many miles he will run in 77 minutes we first need to know how much minutes it takes for Willie to run 1 mile.

28/4 = 7 minutes per mile.

We now want to know how much miles Willie will run if he runs for 77 minutes.

77/7 = 11 miles.

Willie runs 11 miles in 77 minutes.

Answer:

Willie can run 11 miles in 77 minutes

Step-by-step explanation:

I did 28/77 and got 2.75. I then multiplied 2.75 and 4 to get 11.

Therefore, Willie can run 11 miles in 77 minutes.

Answer:

(x+3)(x+8)

Step-by-step explanation:

x² + 11x + 24 = (x+3)(x+8)