Mathematics High School

The scatterplot for number of enrollments, N, in a sports club, t years after the

year 2006. The equation of the line of the best fit is N = 62t + 35. Find the residual

for the number of enrollments in year 2020 if the actual enrollment is 885

students.

Answers

Answer 1

Answer:

13.7 years

Step-by-step explanation:

The equation of the line of the best fit is N = 62t + 35

where

N is the number of enrollments

t is years after the  year 2006

If the actual enrollment is 885 students. Put N = 885 in the given equation.

885 = 62t + 35

or

885 -35 = 62t

850 = 62t

t = 13.7 years

So, the required answer is 13.7 years.

Related Questions

Find the value of x
12
5
X

Answers

Answer:

x = 13

Step-by-step explanation:

Note that the side length x is opposite of the right angle, which means that it is the hypotenuse, which will usually be denoted as c.

Set the equation:

a² + b² = c²

let:

a = 5

b = 12

c = x

Plug in the corresponding numbers (& x) to the corresponding variables:

(5)² + (12)² = (x)²

Simplify. First, solve for the power, and then add:

x² = (5²) + (12²)

x² = (5 * 5) + (12 * 12)

x² = 25 + 144

x² =  169

Next, root both sides of the equation:

√x² = √169

x = √169 = √(13 * 13) = 13

x = 13

~

Note the rules, and it should be easier:

30-60-90° = 1 , √3 , 2

45-45-90° = 1 , 1 , √2

Any other measurements use the equation:  a² + b² = c²

Angel and Jayden were at track practice. The track is 2/5 kilometers around.
Angel ran 1 lap in 2 minutes,
Jayden ran 3 laps in 5 minutes.
a) How many minutes does it take Angel to run
one Kilometer?
b) How many minutes does it take Jayden to run
one Kilometer?

will give brainlist!!

Answers

A.) 5 minutes
B.) 4 minutes

What is the rate of change of the table shown?​

Answers

Answer:  rate of change = 2

===============================

Explanation:

Apply the slope formula. I'll use the first two columns as the two points, but you can use any two columns you want.

m = (y2-y1)/(x2-x1)

m = (9-5)/(3-1)

m = 4/2

m = 2

The slope is 2, so the rate of change is 2. Slope and rate of change describe the same thing. Each time x goes up by 1, y goes up by 2.

at a concession stand three hotdogs in for hamburgers cost $13.50 for hotdogs and three hamburgers cost $12.75 find the cost of one hotdog and find the cost of one hamburger

Answers

Price of Hotdogs you do 14.50/3= 4.50
Price of Hamburgers 12.75/3=4.25

A rectangle is 12 inches long and 2 inches wide. Find its area. A 22 square inches 14 square inches 24 square inches 26 square inches​

Answers

im almost sure its 24 square inchs

Area of given rectangle = 24 square inches.

The correct option is C.

What is rectangle?

A rectangle is cyclic: all corners lie on a single circle. ; It is equiangular: all its corner angles are equal (each of 90 degrees).

Given,

Length of rectangle = 12 inches

Width of rectangle = 2 inches

Area of rectangle = length × width

                             = 12 × 2

Area of rectangle = 24 square inches.

Hence, 24 square inches is the area of rectangle.

Learn more about rectangle here:

https://brainly.com/question/29123947

#SPJ1

find the values of x y and z

Answers

9514 1404 393

Answer:

x = 18√2y = 18√3z = 36

Step-by-step explanation:

These "special" right triangles have side length ratios that it is useful to remember.

45°-45°-90° triangle

Sides have the ratios 1 : 1 : √2. That is, x is √2 times as long as the side length shown as 18.

  x = 18√2

30°-60°-90° triangle

Shortest to longest, sides have the ratios ...

  1 : √3 : 2

That is, y is √3 times the length of the side marked 18, and z is 2 times the length of the side marked 18.

  y = 18√3

  z = 2·18 = 36

find a ratio equivalent to the ratio 9/21

Answers

Answer:

18/42 or

36/84

Step-by-step explanation:

Answer: 3 to 7

Step-by-step explanation: Trust me i got 100.

Evaluate each expression if a = 2 and b = 8.
1. 3a + 1

Answers

Answer:

7

Step-by-step explanation:

3(a)+1 A=2

3(2)+1

Answer:

7

Step-by-step explanation:

We need to input the values of "a" into the equation.

1) 3 x 2 + 1

So 3 x 2 = 6 and plus one is 7.

72 pens are stored in 24 containers. Which of the following expresses the unit rate for this scenario?

A
72 pens per container

B
24 pens per container

C
3 containers per pen

D
3 pens per container

(PLZZZZZZZZZ I NEEEDDD HELP) IM IN THE 6TH GRADE PLZZZ I NEED HELP

Answers

You divide 72/24
The answer is 3

If you can solve this you are a Genius and will be rewarded 100 points

Answers

Answer:

tbh im really not sure..if im right, then hallelujah!! but here... n=1/f-3

Step-by-step explanation:

im sorry its prob not right but i tried

Answer: 3

Step-by-step explanation: Your Answer Is 3.

Tonka weighs 100 pounds. He is loading a freight elevator with
identical 50 pound boxes. The elevator can carry no more than
2000 pounds. How many boxes can Tonka load onto the elevator?
50x + 100 = 2000
O 50x - 100 = 2000
100x + 50 = 2000
100x - 50 = 2000

Answers

38 boxes

Step-by-step explanation:

Kim drew a map of the Mississippi River. The scale was 5 centimeters represents 120 miles. The actual length of the Mississippi River is 360 miles. Approximately what is the length in centimeters of the Mississippi River on the map?
50 points to who ever answer it corectly

Answers

Answer:

15 cm on the map

Step-by-step explanation:

360/120=3

5*3=15

hope this helps :)

12z−6+15z=27z−5 how many solutions

Answers

3 is the answer

I did the test

Answer:

no solutions

Step-by-step explanation:

if you simplify the left side you will get 27z - 6 and the other side is 27z - 5

no value for 'z' will ever get these two expressions to equal each other because 6≠5

A fish tank containing 42 gallons of water when it began to make each day the tank last for gallons of water how many days until the tank only contains 14 gallon

Answers

7 days till the tank contains 14 gallons (if the day when it contains 42 gallons counts as day 0)

5. How do natural numbers differ from whole numbers?​

Answers

Answer:

Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity. Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart

Whats is percentage of 25% to 24

Answers

Answer:

96%

hope this helps!!:)

Step-by-step explanation:

Answer:

I think the question is supposed to be What is 25% of 24? Or you are missing a component of the question

Step-by-step explanation:

You could multiply .25 times 24 to get the answer because changing 25% to a number you can use in an equation means adding a decimal place and moving two places to the left.

.25 x 24= 6

6 is 25% of 24

Rewrite using a single positive exponent.
57
54

Answers

Answer:

60

Step-by-step explanation:

54, 57= you add 3 onto the unit number.

please help it due asap
thanks

Answers

Answer:

C) AC=11.5

Step-by-step explanation:

3x-5=x+6

2x=11

x=5.5

AC=3(5.5)-5

AC=11.5

1.How do you know you have a direct variation in the
relationship between two quantities?


Answers

Answer:

Say you have y=2x. That is direct variation and will always pass through the origin when graphed. When x is multiplied by a number, the y value will also be changed by that number. If you add a y-intercept and change y=2x to, for example, y=2x+2, the x and the y will no longer be related by a constant ratio.

Step-by-step explanation:

Please help!! Giving brainliest and extra points!! (click on photo)

Answers

Answer:

circumphrence

Step-by-step explanation:

Answer:

Area

Step-by-step explanation:

Because area covers

find the distance between two points (-3,2) and (3,0)

Answers

Answer:

[tex]\sqrt{40}[/tex]

Step-by-step explanation:

If we draw a right triangle, it would have legs 6 and 2.

Maria is reading an article about ways that cowboys are portrayed in movies and in books. Read this excerpt:

A lot of fiction is set in the American West in the 1800s, a time when settlers poured into the wide-open prairies of Oklahoma and Texas. Cowboy heroes in movies and books worked to tame the land. They are often portrayed as valiant men who fought for justice in a time of lawlessness.

What is the meaning of the phrase tame the land as it is used in the passage above?

A.
It means that the land was unsafe.
B.
It means that the land was not settled.
C.
It means that the land was not farmed.
D.
It means that the land was abandoned.

Answers

Answer:

B

Step-by-step explanation:

Answer:B.

It means that the land was not settled.

Step-by-step explanation:

Write the quadratic function in standard form.
f(x) = - 2(x - 6)^2 - 5
f(x) =???

Answers

-2(x^2-12x+36)-5
-2x^2+24x-72-5
f(x)=-2x^2+24x-77 is the final answer in standard form

How do you graph g(x)=f(x)+5

Answers

Make a positive line going through (0, 5)

Write 23/50 as a number compared to 100

Answers

Answer:

46 blocks would be colored.

Step-by-step explanation:

23/50 = ?/100

23/50 x 2 = 46/100

Find the perimeter of the following shape (show all work and box your final answer):

Answers

Answer:   11x + 6y + 11

=========================================

Work Shown:

To find the perimeter, we add up all the exterior side lengths.

P = perimeter

P = (side1) + (side2) + (side 3)

P = (2y-3x-3) + (12+5x+7y) + (9x-3y+2)

P = (-3x+5x+9x) + (2y+7y-3y) + (-3+12+2)

P = 11x + 6y + 11

Graph the line given by the equation y=2x-6.


PLS HELP QUICKLY ILL ITS TIMED

Answers


Try this X=3

God loves you

15% off a 95$ bicycle

Answers

80.75
hope that helps

Answer:

15% off a 95% bike is $14.25

Step-by-step explanation:

15/100 = x/95

15 x 90 = 1425

1425 ÷ 100 = 14.25

I hope this helps.

Mrs. Ortega has 17 cups of flour. She decided
cups of
3
to make 2 cakes. Each cake used 2
4.
flour. She then made 2 batches of cupcakes that
eachfused 1
3
4
cups of flour.

Answers

Step-by-step explanation:

I need to know the equation of of 5 and possibly 7 and 8 below

Answers

Answer:

5. 20+0.12x=80

7. 12-3x=24

8. 6 in each box

Step-by-step explanation:

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