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

Compare: 1.6 x 10^-5 and 1.62 x 104^-4
A) >
B) <
C) =
D) none of the above

Answers

the correct answer is d

Answer:

D

Step-by-step explanation:

Caleigh had a jewelry box with a volume of 14 cubic inches. The area of the base is 7 square inches. What is the height of caleigh’s jewelry box

Answers

Answer:

2 in

Step-by-step explanation:

Given data

Area= 7 in^2

Volume= 14 in^3

from

Volume= Area* height

substitute

14= 7*x

divide both sides by 7

x=14/7

x= 2 in

Hence the height is 2 in

One number is 2 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 468 ​, find the numbers

Answers

Answer:

Step-by-step explanation:

Givens

Let the first number = x

Let the second number = 2x

Let the third number = x + 100

Total = 468

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

Solution

x + 2x + x + 100 = 468                    Combine the xs

4x + 100 = 468                                Subtract 100 from  both sides

4x = 468 - 100

4x = 368                                          Divide by 4

x = 368/4

x = 92

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

Answer

First number =                     92

Second num = 2 * 92=       184

Third number = 92 + 100= 192

Total                                    468

Steve prepreformed the chemistry experiment in which divided 5/8 of a box of baking soda evenly among the five bottles he then added vinegar and water teach volatile to make them bubble up like volcanoes how much baking soda do you put in each bottle

Answers

Answer:

[tex]\mathbf{ \dfrac{1}{8} \ box}[/tex]

Step-by-step explanation:

Given that:

Steve divided 5/8 of a box evenly among 5 bottles. To determine the amount of baking soda added;

Then, mathematically:

[tex]=\dfrac{5}{8} \ box \div 5[/tex]

[tex]= \dfrac{5}{8} \ box \times \dfrac{1}{5}[/tex]

[tex]\mathbf{= \dfrac{1}{8} \ box}[/tex]

Jackie bought a 3-pack

Answers

Answer:

Good for her

Step-by-step explanation:

f(x)=-x^2-14 find f(9)
Evaluate the function

Answers

f(x)=x2−14 is the answer

Is 21/2 simplified ?

Answers

Answer: 21/2 can not be simplified anymore!!

Step-by-step explanation:

if in one batch of cookies, you use 6 cups of dough and 2 cups of chocolate chips
how many cups of chocolate chips will you need to make two batches of cookies

Answers

Answer:

4cups of chocolate chips

Hope I helped

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2 cups times two recipes

2x2=4

Alice has 8 acres of orchards.
Alice grows apple trees in 4 acres of the orchards
She grows pear trees in the rest.
How many acres of pear trees does Alice have?

Answers

Answer:

4

Step-by-step explanation:

8-4=4

difference in acres

NEED HELP!!! WILL GIVE BRANLIEST Which of the following options best describes the slope of line a?​

Answers

Answer:

Positive

Step-by-step explanation:

What is the vaule of 5/6 ÷ 3/4
​

Answers

Answer:

0.625

Step-by-step explanation:

5/6 x 3/4 = 0.625 in decimal form.

5/6 / 3/4
5/6 x 4/3
20/18 = 1 2/18

Does anyone else play nitro type?

Answers

Answer:

I do!

Step-by-step explanation:

Answer:

no sorry but i do know some friends that play..

The two prisms below are similar. What is the value of x?
24
4
16
A. 4
B. 24
C. 16
D. 1

Answers

Answer:

A

Step-by-step explanation:

Since the prisms are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{16}{4}[/tex] = [tex]\frac{x}{1}[/tex] ( cross- multiply )

4x = 16 ( divide both sides by 4 )

x = 4 → A

The value of x on the prism is 4.

What are Similar Figures?

Similar figures are those figures which are having the same shape, but the sizes are different.

Given are two prisms.

We have to find the length of x.

Given that they are similar.

So the ratio between their dimensions is equal.

So,

x / 1 = 16 / 4

x = 4

Hence the value of x is 4.

Learn more about Similar Figures here :

https://brainly.com/question/20368229

#SPJ5


give your answer as mixed fraction and simplest from .​

Answers

Add the whole numbers.
Then add the numerators.

2 2/6 + 3 2/6 = 5 4/6

Simplify the fraction

5 2/3

Solve |5x+15|=10x. Identify the solution and an extraneous solution.

Answers

|5x+15|=10x

5x+15=10x 5x+15=-10x
-5x -5x -5x -5x
15=5x 15=-15x
divide by 5 divide by -15
3=x -1=x

Which pair of variables would most likely have approximately zero correlation

Answers

Answer:

I’m not sure but it’s b

Step-by-step explanation:

If triangles ADE and ABC shown in the figure below are similar, what is the value of X?
A) 4
B) 5
C) 6
D) 10

Answers

Answer: pretty sure it’s 6 because of its giving you an x to solve and there is a number across from it you multiply that number by 0.5

Step-by-step explanation:

and 0.5 x 12 is 6

The measure of the side length of the triangle is 6. Then the correct option is C.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

If triangles ADE and ABC shown in the figure below are similar.

From the figure, we have

x / 12 = 2 / 4

      x = 6

Then the correct option is C.

The complete question is attached below.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

ACFG is a parallelogram, If AG = 2x + 10 and CF = 5x – 2, find CF.

Answers

Answer:

d. 18

Step-by-step explanation:

Lengths AG and CF of the parallelogram are equal.

i.e AG = CF

where AG = 2x + 10

          CF = 5x -2

→ 2x + 10 = 5x-2

(collecting like terms): 5x - 2x = 10 + 2

→ 3x = 12

x=12÷3 = 4

∴ CF = 5x -2 = 5(4) -2 = 20 - 2 = 18

∴ CF = 18 (answer)

can someone help me with this

Answers

Answer:

A.) 3/4

Step-by-step explanation:

You can find this by dividing the distance from point Z to point Y by the distance of point X to point Y. The distance from Z to Y is 6 and the distance from X to Y is 8, so that means that the slope is 6/8, which simplifies to 3/4.

Algebra 2 - Grade 11


Can anyone please help me with these Algebra 2 Math questions?


Soon as possible !!!



Find p(–4) if p(x) = 3x^3 – 2x^2 + 6x – 4



If r(x) = x^3 – 2x + 1, find r(2a^3).

Answers

Answer:

I think that the first part would be -252, but I'm not sure about the second part

Step-by-step explanation:


Find p(–4) if p(x) = 3x^3 – 2x^2 + 6x – 4

p(-4) = 3x^3 – 2x^2 + 6x – 4

p(-4) = 3(-4)^3 – 2(-4)^2 + 6(-4) – 4
= 3(-64) - 2(16) + 6(-4) - 4
= -192 - 32 - 24 - 4
p(-4) = -252


r(x) = x^3 – 2x + 1, find r(2a^3)

r(x) = (x^3 – 2x + 1) (2a^3)
= (2a^3) x^3 + (2a^3) (-2x) + (2a^3) * 1
= x^3 (2a^3) - 2x (2a^3) + 1 * (2a^3)
r(x) = 2a^3x^3 - 4a^3x + 2a^3

I’m not entirely sure about this one as I’m also in 11th grade but I think this is how it’s done.

PLS HELP PLS ITS TIMES ILL GIVEBRAINLIEST IF CORRECT HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: A

Step-by-step explanation:

Why do we use fractions to represent slope?

Answers

Answer:

The formula for slope is sometimes referred to as "rise over run", because the fraction onsists of the "rise" (being the change in y, going up or down) divided by the "run" (being the change in x, going from left to the right).

Step-by-step explanation:

A spherical balloon has a diameter of 4 feet.

Approximate how many cubic feet of air this balloon holds.



Note: 'pi' means 'LaTeX: \piπ ', which is approximately 3.14. Use 3.14 as an approximation for LaTeX: \piπ , and give a numerical answer.

Answers

Answer:

33.49

Step-by-step explanation:

just did that

What is an equation for the translation of y = |x| down 8 units?

Answers

your answer would be 4

PLEASE HELP IN MATH URGENT..

Answers

Answer:

b

Step-by-step explanation:

Task 6

Jeff's weekly salary equals a commission of his

sales plus a basic amount. If his sales are $849. he

earns $417.92. If his sales are $1011, he earns

$430.88.

yo

Q: Find Jeff's total earnings if his sales are$948.

Answers

Answer:

His total earnings for sales of $948 is $425.84

Step-by-step explanation:

Let the percentage of his commission be a percentage with its value represented as x and b be his base salary , y as his total earnings

So we have;

y = x% of sales + base salary

for 849 sales and 417.92 , we have

417.92 = 8.49x + b •••••••(i)

for 1011 sales and 430.88 servings

430.88 = 10.11x + b ••••••(ii)

Subtract i from ii

12.96 = 1.62x

x = 12.96/1.62

x = 8

To get b, we substitute

430.88 = 10.11(8) + b

b = 430.88 - 10.11(8) = 350

Commission is 8% , base earnings is $350

So for total sales of 948;

y = 8% of 948 + 350

y = $425.84

Could 8 be a solution? Why or why not?
x2 = 49

Answers

no because if you substitute 8 for x, you would get 16=49. which is not true

Answer:

it cannot be

Step-by-step explanation:

x²=49

x=√49

x=7

Thus answer is 7 and not 8

Ryan had some candy to give to his five children. He took three pieces for himself and then evenly divided the rest among his children. Each child received two pieces. With how many did he start?

Answers

Answer:

he had 13 peices of candy

Step-by-step explanation:

if he has 3 pieces for himself and 2 for each kid and he has 5 kids then you would just multiply 2 and 5 then add 3

the equation is (2 times 5)+3

Question 10(Multiple Choice Worth 1 points)
(05.02 MC)

The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in either college or high school:


High Low Q1 Q3 IQR Median Mean σ
College 50 6 8.5 17 8.5 12 15.4 11.7
High School 28 3 4.5 15 10.5 11 10.5 5.8


Which of the choices below best describes how to measure the spread of these data?
(Hint: Use the minimum and maximum values to check for outliers.)
Both spreads are best described by the IQR.
Both spreads are best described by the standard deviation.
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
The college spread is best described by the standard deviation. The high school spread is best described by the IQR.

Answers

Answer:

The college spread is best described by the IQR. The high school spread is best described by the standard deviation.

Step-by-step explanation:

The college data has large outliers which skews the data, therefore the IQR is better measure of spread.

The high school data does not appear to be skewed so the standard deviation is fine as a measure of spread.

find the missing side length

Answers

D.10 because if you divide 16/8 you get 2 and if you multiply 5 by 2 you get 10
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