A dance competition on television had five elimination rounds. After each elimination, only one-fourth of the contestants were sent to the next round. The table below shows the number of contestants in each round of the competition: x 1 2 3 4 5 f(x) 512 128 32 8 2 Compute the average rate of change of f(x) from x = 2 to x = 4 and describe what it represents.

−60 contestants per round, and it represents the average rate at which the number of contestants changed from the second round to the fourth round

−120 contestants per round, and it represents the average rate at which the number of contestants changed from the second round to the fourth round

−60 contestants per round, and it represents the number of contestants who will reach the final round

−120 contestants per round, and it represents the number of contestants who will reach the final round

Answers

Answer 1

When x =2, f(x) = 128
When x = 4, f(x) = 8

The changing rate is [tex] \frac{8-128}{4-2}= \frac{-120}{2}=-60 [/tex]

This changing rate represents the decrease of the number of contestants as the competition approaches the final.

Correct option is the first option

−60 contestants per round and it represents the average rate at which the number of contestants changed from the second round to the fourth round

Answer 2

Answer:

Step-by-step explanation:

Related Questions

Calculate the average of 7081 and 8890

Answers

i am pretty sure it is 7985.5

The average of 7081 and 8890, is 7985.5.

Calculating the Average

To calculate the average of two numbers, you add the numbers together and then divide the sum by 2.

Here are the steps:

Add the numbers: 7081 + 8890Sum: 15971Divide the sum by 2: 15971 / 2Result: 7985.5

Therefore, the average of 7081 and 8890 is 7985.5.

A rectangle has a perimeter of 84 meters and a length of 35 meters. What is the width of the rectangle?

Answers

To find the perimeter of a rectangle, we can use this formula: [tex]2L + 2W[/tex]
Where L is the length and W is the width.

We know the perimeter and we know the length and we want to find the width.
Substitute the values back into the formula.

2(35) + 2W = 84
70 + 2W = 84
2W = 14 <-- Subtract both sides by 70
W = 7 <-- Divide both sides by 2

So, width is 7 meters long.

84 - (35*2)
84 - 70
14 / 2
The width of the rectangle is 7.

Question 4 (Fill-In-The-Blank Worth 4 points)

(05.01)The new club sticker is in the shape of a triangle. It has a height of 16 inches and a base of 14 inches. The area of the club sticker is ____ square inches.

Triangle with height of 16 inches and base of 14 inches.

Answers

- The area of the club stickers is 112 square inches.

- We know this because...
1. The calculations of a triangle is... 1/2 x b(h)

2. So first, lets calculate the b(h) first, which is 16 x 14 = 224 square inches.
- This isn't the correct answer because it is the area of a rectangle.

3. Second, lets calculate 1/2 x 224 = 112 square inches.
- We did this calculation because we are talking about a triangle.

- So, the total square inches of the club sticker is 112 square inches.

Hope this helps! :)

Hello,

The correct answer is 112 Square Inches.

Hope this helps!!!! Happy Holidays!!!! (:

Answer ALL questions if u cant see all the answers its fine all u need is the question

Answers

For the triangle question, it should probably be A. Sorry if it's wrong.

What is the length of segment RS

Answers

The length of segment RS must be 13 units.

To find this, you can make a right triangle by connecting points R and S at a common point to form a right angle. The segments made would be 5 units and 12 units long. Using the Pythagorean Theorem, the segment RS must be 13 units.

Answer: 13 units

Step-by-step explanation:

The length of line segment AB with points [tex]A(x_1,y_1)\ and\ B(x_2,y_2)[/tex] is given by distance formula as :

[tex]\text{AB}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Now, the length of line segment RS with points [tex]R(-4,-3)\ and\ S(1,9)[/tex] is given by distance formula as :

[tex]\text{RS}=\sqrt{(1-(-4))^2+(9-(-3))^2}\\\Rightarrow\ RS=\sqrt{(5)^2+(12)^2}\\\Rightarrow\ RS=\sqrt{25+144}=\sqrt{169}\\\Rightarrow\ RS=13[/tex]

Hence, the length of segment RS= 13 units

subtract the fractions and simplify answer: 9- 5 1/3

Answers

Hey there!!

Here is the process...

9 - 5 1/3
9 - 16/3
27/3 - 16/3
11/3 <------ This is the answer!

I hope this helps! ^__^

Answer:

3 2/3

Step-by-step explanation:

9 - 5 1/3

9 = 8 3/3

8 3/3 - 5 1/3 = 3 2/3

Hope this helps :)

HELP PLEASE ASAP!!!!!!!!!!!!

1. The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below:

Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x
Step 3: 5x − 2x = 12 + 6
Step 4: 3x = 18
Step 5: x = 6

In which step did the student first make an error and what is the correct step?

Step 2; 6x − 6 = 2(6 + x + 2)
Step 2; 6x − 8 = 12 + 2x
Step 3; 5x − 2x = 12 − 6
Step 3; 5x + 2x = 12 + 6

2. The steps below show the incomplete solution to find the value of m for the equation 4m − 2m + 4 = −1 + 13:

Step 1: 4m − 2m + 4 = −1 + 13
Step 2: 4m − 2m + 4 = 12
Step 3: 2m + 4 = 12

Which of these is most likely the next step?

2m = 3
2m = 8
2m = 16
2m = 18

3. How many solutions does the equation 4n + 6 = 4 + 2 + 4n have?

Two
Many
None
One

Answers

1. Step 2 : 6x - 8 = 12 + 2x
2. 2m = 8
3. Two

Answer:

Step 2; 6x − 8 = 12 + 2x

Step-by-step explanation:

Step 1: Write the equation

Step 2: Apply distributive property to the left side and sum the constants to the right side

Step 3: Subtract 2x from both sides and add 8 to both sides:

Step 4: Divide both sides by 4:

Highlighter pens cost $3.86 per set at an office supply store. Which equation can be used to determine the price, P, of n sets of these pens? n = 3.86P P equals 3.86 over n n equals 3.86 over P P = 3.86n

Answers

The last Equation is Correct: P = 3.86n
Meaning N as the number of sets and P as the total price of the # of sets times the unit price.

P=3.86n
P=Price
N=Number of pens you buy
The price depends on the number of pens that you buy. Each pen costs $3.86, so you will have to multiply the price of each pen by the number of pens that you buy and it will give you your price to pay.
Hope this helped.

Michael jogs 3,520 yards every day. What is the distance in miles that he will jog in 10 days? (1 mile = 1,760 yards) How do I figure the problem? Divide 10 into 3,520?

Answers

divide 3520 by 1760 to get miles per day

3520/1760 = 2 miles per day

2 x 10 = 20 miles in 10 days

3,520 divided by ten is 352

The Game Room Of The youth center needs carpet . Sweat T found that the room Measures 12 Inches by 8 inches on the blueprint of The Scale of The Blueprint is 1 inch To 3 feet , what is the actual area of the game room

Answers

the scale is 1 inch to 3 ft

and if 1 inch = 3 ft, then 12 inches = (12 *3) = 36 ft
and 8 inches = (8 * 3) = 24 ft

A = L * W
A = 36 * 24
A = 864 square ft <==

What symbol is greater than

Answers

> is the symbol for greater than

Greater than >
Less than <
Equal to =
Greater than or equal to ≥
Less than or equal to ≤

bobs burgers pays waitresses $49.50 per day ans $5 every hour that they work. sammys sandwiches pays sandwich artists $25 per day and $8.50 each hour they work. how many hours would you have to work in order to earn the same amount of money from both restaurants?

Answers

If an hour is x, you make 5x dollars at bob's burgers and 8.5x dollars at sammy's. As 49.5 and 25 are base values, we get 49.5+5x=25+8.5x. Subtracting 5x and 25 from both sides, we get 24.5=3.5x and dividing by 3, we get 24.5/3.5=x=7 hours

Luca, Zane, and Zion together sold 77 tickets for the school banquet. Luca sold 22 tickets and Zane sold 29 tickets. How many tickets did Zion sell?

A.) 11
B.) 26
C.) 51
D.) 55

Answers

22+29=51
77-51=26
B.26 is your answer

the answer to that is b. 26

6 + 8 ÷ 2 A.3 B.7 C.10 D.12

Answers

Using the order of operations, division comes first then addition.

6 + 8 ÷ 2
6 + 4
10

So, C 10 is the answer.

Use PEMDAS

Firstly divisions.

6 + (8:2) =

6 + 4 = 10

Answer C

Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?

y = 2x – 2
y = 2x + 2
y = x + 2
y = x – 2

Answers

(0,2)(4,6)
slope = (6 - 2) / (4 - 0) = 4/4 = 1

y = mx + b
slope(m) = 1
use either of ur points (0,2)...x = 0 and y = 2
sub and find b, the y int
2 = 1(0) + b
2 = b

ur equation is : y = x + 2 <==

Answer:

The correct option is 3.

Step-by-step explanation:

If a line passing through two points then the equation of line is

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

It is given that CD passes through points (0, 2) and (4, 6), so the equation of line is

[tex]y-2=\frac{6-2}{4-0}(x-0)[/tex]

[tex]y-2=\frac{4}{4}(x)[/tex]

[tex]y-2=x[/tex]

Add 2 on both the sides.

[tex]y=x+2[/tex]

The equation of line CD is y=x+2. Therefore the correct option is 3.

What is the length of the unknown leg in the right triangle?

Answers

The answer to your question is A.) 6 mm

By Pythagorean Theorem,
7^2 + a^2 = √85^2
49 + a^2 = 85
a^2 = 85-49
a^2 = 36
a= 6mm

Part A: A graph passes through the points (0, 4), (1, 8), and (2, 10). Does this graph represent a linear function or a non-linear function? Explain your answer in words.

Part B: Write one example of a linear function and one example of a non-linear function. (Use x and y as the variables)

Answers

Part A: It is a non-linear function because it doesn't continue at a constant rate. The last y value increased by 2 instead of 4 like the previous coordinates. There's no consistency if that makes sense.

Part B: linear- (1,2) (2,4), (3,6) Notice how the x increases by the same amount (1) and the y increases by the same amount (2)
non-linear- (2,4) (5,10) (7,11) The x and y values are increasing by completely different amounts in this one.

Answer:

The first guy is correct.

Step-by-step explanation:

A commuter has $245 in his commuter savings Account. This account changes by -$15 each week he buys a ticket.

A- if the account changes by -$240, for how many weeks of tickets did the commuter buy?

B- if the commuter wants to buy 20 weeks of tickets, how much must he add to his accoumt?

Answers

the account changes by -15 each week he buys a ticket....that means each ticket costs 15 bucks.

if the account changes by -240......240/15 = 16....so he bought 16 weeks of tickets

if he wants to buy 20 weeks....and the tickets cost 15 bucks...he would have to add (20 * 15) = 300 bucks.....thats if he doesn't have any in his account

I need some help please.

Answers

answer is (0,-8) see picture:

Solve the inequality 9(x - 3) < 4(x + 10).
x < 13/5
x > 13/5
x < 67/5
x > 67/5

Answers

9x - 27 < 4x + 40

-> 5x < 67

-> x < 67/5

the third one is the answer that x<67/5

In the United States in 1990, about one person in 20 was 75 years old or older. Write this fraction as a percent

Answers

The answer to your question is 5%. You have to write it as a fraction (1/20), then divide 1 by 20 before multiplying by 100 to get 5%

34 + 2 ⋅ 5 = ____. (Input whole numbers only.)

best answer gets BRAINIEST!!!!!!

Answers

34 + 2 * 5 =
34 + 10 =
44 <==

The answer is 44.

34 + 2 x 5
34 + 10
44

I really need help! come ASAP!!!

A sporting goods store buys a basketball for $15.00 and then adds a 75% markup to the price. How much will the basketball sell for in the store?

Answers

100 minus 75 would be 25%
Turn 25% into a decimal and you would get .25
Then multiply that by 15 and you would get $3.75

$15.00 minus $3.75 you would get $11.25

The basketball would cost $11.25.

Hope this helps!

What is 23 percent of 134?

Answers

23% of 134....turn percent to decimal...." of " means multiply

0.23(134) = 30.82 <==

The percent is 30.82

Exactly 1/20 of the students in Mr.Perez's class have a bird.What Percentage of his students has a bird?

Answers

5 percent of his students have birds

We divide 1 by 20, which gives us .05. Then we multiply it by 100, to give us 5. The percentage of students in Mr. Perez's class that have a bird is 5%.

the nutritional chart on the side of a box of cereal states that there are 93 calories in a 3/4 cup serving how many calories are in 5 cups of cereal

Answers

5 / 3/4 = 5/1 * 4/3 = 20/3 = 6 2/3

6 2/3 * 93 = 20/3 * 93/1 = 1860/3 = 620 calories

93/.75 = x/5
Cross multiply
.75x = 5*93
.75x = 465
Divide both sides by .75
x = 620 calories

How can x + 3 = −2x + 5 be set up as a system of equations

Answers

I also think that it's already a system of equation but you could simplify it into 3x=2 or 1x=1.5

If a person weighs 240 pounds on Earth, what would be the difference in weight of the same person on Mars and on the Moon

Answers

Because weight = mass x surface gravity, multiplying your weight on Earth by the numbers above will give you your weight on the surface of each planet. If you weigh 150 pounds (68 kg.) on Earth, you would weigh 351 lbs. (159 kg.) on Jupiter, 57 lbs. (26 kg.) on Mars and a mere 9 lbs. (4 kg.)

Answer:

Mars: [tex]\Delta W = 144\,lbf[/tex], Moon: [tex]\Delta W = 199.2\,lbf[/tex]

Step-by-step explanation:

The gravitational acceleration experimented by the same person on the Moon is equivalent to a sixth of the indicator on Earth and the same indicator on Mars is about 40 % of the terrestrial acceleration. Then, the difference in weight are computed below:

Mars:

[tex]\Delta W = (1 - 0.4) \cdot (240\,lbf)[/tex]

[tex]\Delta W = 144\,lbf[/tex]

Moon:

[tex]\Delta W = (1 - 0.17) \cdot (240\,lbf)[/tex]

[tex]\Delta W = 199.2\,lbf[/tex]

Name two integers whose product is negative.

Answers

You know that one integer is a negative integer, as the product is negative- and if the sum is zero, then the absolute value of the two integers are equal. Thus, the integers are +/- sqrt(36). or +/- 6.

Example: 6 and -6

Your welcome.

x-1=5x+3x-8
help this confused child

Answers

x-1= 5x+3x-8

Combine like terms
x-1= 8x-8

Our goal is to isolate x by cancelling out other numbers.
Subtract x from both sides
x-1-x= 8x-x-8
-1= 7x-8

Add 8 to both sides
7=7x

Divide both sides by 7
1=x

Final answer: x=1

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