The equation C(l) = l3 – l2 + l + 2.5 models the cost to mail a package as a function of its length. To the nearest quarter inch, approximately what is the length of a package that costs $11.00 to mail? Enter your answer as a decimal.​

Answers

Answer 1

Answer:

2.25

Step-by-step explanation:

Given the cost model:

C(l) = l3 – l2 + l + 2.5

l = Length fo package

The length of a package that cost $11.00

11 = l³ - l² + l + 2.5

From the table given :

Length of mail which cost $11 will just be slightly greater Than 2 as the cost of 2 length mail cost 8.50

Taking l as 2.20

2.2^3 - 2.2^2 + 2.2 + 2.50 = 10.508

Taking a slightly higher value :

Put l = 2.25

2.25^3 - 2.25^2 + 2.25 + 2.50 = 11.078

Ww can conclude that the length of mail would be 2.25

 The EquationC(l)=l3l2+l+2.5 Models The Cost To Mail A Package As A Function Of Its Length. To The Nearest
Answer 2

Answer:

2.75

Step-by-step explanation:


Related Questions

a printer costs $28 to manufacture and is sold for $56, what is the percentage markup

Answers

Answer:

100% increase

Step-by-step explanation:


NOTE: Angles not necessarily drawn to scale.

PLEASE HELP I WILL MARK BRAINLIST

Answers

x=47

angles are supplementary so they add to 180.

180-133=47

Answer:

47

Step-by-step explanation:

133+133=266

360-266=94

94/2=47

I think hopefully!

expand and simplify (X+7) (x-2)

Urgent please my teacher threatened me with an axe​

Answers

Answer:

x²+5x-14

Step-by-step explanation:

expand out the brackets:

x²-2x+7x-14

simplify:

x²+5x-14

A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?

Answers

He should get $855. 28500 x 3% = 855

Which function is f(5) for the function -2x^2+2x-3

A: -107
B: -63
C: -43
D: -37

Answers

Answer:

C

Step-by-step explanation:

-2x^2 + 2x -3

-2(5)^2=

-50

2(5)

= 10

-50+10-3

is -43 so C

How to simplify the following expression
34x-(25x-3)-18

Answers

Answer: 9x-15

Step-by-step explanation:

Given

34x-(25x-3)-18

Expand parenthesis

34x-25x+3-18

Put like terms together

(34x-25x)+(3-18)

Combine like terms

9x-15

Hope this helps!! :)

Please let me know if you have any questions

Carter is going to invest $210 and leave it in an account for 5 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Carter to end up with $250?

Answers

Answer:360

Step-by-step explanation:g-g5

The rate of interest will be 0.35.

What is compound interest?

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Compound interest formula

[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]

and, the Amount is given by

[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]

Where,

A is amount

P is principal

r is rate of interest

n is number of times interest is compounded per year

t is time

According to the given question

Principal, P = $210

Amount, A = $250

Time, t = 5 years

n = 1

Therefore, the interest rate is given by

Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]

⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]

⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]

⇒[tex]1.19 = (1+r)^{5}[/tex]

⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]

⇒ 1.035 = 1 + r

⇒ r = 1.035 - 1

⇒ r = 0.35

Hence, the interest rate is o.35.

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A large smartphone company produces 15,000 smartphones per hour.

How long would it take this company to produce 300,000 smartphones?




15 h

20 h

30 h

40h

Answers

Answer:B) 20 hours

Step-by-step explanation:

15000 per one hour and if we multiply them all we get 300,000 smartphones if we do 15,000 multiplyed by 20. Hope it helps!

Answer:

20 h

Step-by-step explanation:

just do 15 x 20 then add the remaining zeros

1 1/2×(−6/15) Not a big math person what is this?

Answers

Answer:

11/2×(-6/15)

=-11/2×6/15

=-11×3/15

=-11×1/5

=-11/5

There are 39 students in a class.
16 of the students are female. Find the percentage of the class that are female.
Give your answer to the nearest percent.

Answers

female students = 16/39
to get a percentage: (16/39)x100
percentage = 41%
the percentage is 41%

Solve the following inequality algebraically. |x - 2| > 11​

Answers

Answer:

x<-9 or x>13 (- infinity, -9)U(13, infinity)

please help me with this​

Answers

Answer:

a=8/2 b=9/4 c=13/5

Write an equation in slope-Intercept form from the polnts (-4,-2) and (-3,5)
y = 1/7x
y = 1/7x + 26
y = 7x + 26
x = 7y + 26

Answers

Answer:

y=7x+26

Step-by-step explanation:

First we have to find the slope of the lines.

(-4,-2)      

(-3,5)    

Our slope is going to equal 7

then we take a point and use it to find the equation

y--2=7(x--4)

y+2=7x+28

y=7x+26

The sales tax in your city is 8.8 and an item costs $63 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.

Answers

$63 x 0.088 = 3.168

this represents the tax

if you round it, it would be $3.17

Find the length of x.

Answers

Answer:

5

Step-by-step explanation:

6/4 = 7.5/x

7.5/1.5=5

The results of an analysis, on the makeup of garbage, done by the Environmental Protection Agency was published in 1990. Some of the results are given in the following table, which for various years gives the number of pounds per person per day of various types of waste materials.

Waste materials
1960
1970
1980
1988
Glass
0.20
0.34
0.36
0.28
Plastics
0.01
0.08
0.19
0.32
Metals
0.32
0.38
0.35
0.34
Paper
0.91
1.19
1.32
1.60

For glass, calculate the average rate of change between 1970 and 1980. Then interpret what this value means.
a.
From 1970 to 1980, the number of pounds of glass per person per day decreased by 0.002 per year.
c.
From 1970 to 1980, the number of pounds of glass per person per day increased by 0.002 per year.
b.
From 1970 to 1980, the number of pounds of glass per person per day decreased by 0.11 per year.
d.
From 1970 to 1980, the number of pounds of glass per person per day increased by 0.11 per year.

Answers

The correct option regarding the average rate of change for glass is given by:

c. From 1970 to 1980, the number of pounds of glass per person per day increased by 0.002 per year.

What is the average rate of change of a function?

It is given by the change in the output divided by the change in the input.

Looking at the table, in the 10 years from 1970 to 1980, the amount of glass changed from 0.34 pounds to 0.36 pounds, hence the rate is given by:

r = (0.36 - 0.34)/10 = 0.02/10 = 0.002.

Which means that option c is correct.

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Answer:Option C

Step-by-step explanation: Just simplifying the other guys answer


Which pairs of equations are parallel?
a) y = 3x + 4 and y = 3x+1
b) y =- 3x + 4 and y = 3x + 1
c) y=x-1 and y = x+1
d) y = 2x + 3 and y = 2x + 1

Answers

Answer:

x by 1 times 15 to the third power

Step-by-step explanation:

Use the table and the graph to answer the questions.
Function 1
x −1 −2 −3
y 4 6.5 9
Function 2

(a) What is the rate of change for each function? Show your work.
(b) Which function has the greater rate of change?

Answers

Answer:

_24

Step-by-step explanation:

x −1 −2 −3

y 4 6.5 9

Function 2

I need help with this. Please!

Answers

72




Add them all up = 48+9+15

Find the product.
10(-7)

Answers

Answer:

-70

Step-by-step explanation:

If a number is right by a parathesis () then you multiply the number inside the parathesis by the number next to them.

-70 (multiply what’s in the parenthesis and since there’s only one negative number in your problem it’s negative

The diameter of a circl
10. d = 6.7 in.

Answers

Answer: is 6.7 inches

2/5 divided by 4 and reduce the answer

Answers

Answer:

1/10 i guess

Step-by-step explanation:

2/5=0.4

0.4/4=0.1

0.1=1/10 (one tenth_

Answer:

1/10

Step-by-step explanation:

2/5 ÷4 is the same as 2/20, which is 1/10

Can somebody pls help me out wit dis

Answers

Answer:

i can't see it

Step-by-step explanation:

Answer:

a. x is equal to the number of sweat shirts made

b. $1100 is I think the base cost it takes to produce shirts

c. x=30

d. $5845

hope I helped.

Step-by-step explanation:

a. context

b. if x=the number of sweat shirts made then 65×x means that it costs $65 to produce one shirt and in that case to make any shirts it would cost $1100 to get the process set up so that they can make the shirts.

c. if c(x)=3050 then that means that that is the total cost to make all the shirts they made at that time. We know x is the number of shirts and because of that we want to solve for x. to do that we need to isolate x, the first step would be to take 3050 and sub that into the first equation

3050=1100+65x

subtract 1100 from both sides

3050-1100=65x

1950=65x

divide both sides by 65

1950÷65=x

simplify

30=x

d. you take the equation at the top c(x)=1100+65x and sub in 73 for x.

1100+(65×73)

simplify

1100+4745=5845

How do the values of the 4s in 64.723 and 9.048 compare? Choose the best answer below to correctly complete the statement. The value of the 4 in 64.723 is 10 100 1000 times the value of the 4 in 9.048.

Answers

Answer:

100

Step-by-step explanation:

4 in 64.723 is a unit value. So it has a value of 1

4 in 64.723 has a value of 0.01

so the value of 4 in 64.723 is 100 times the value of the 4 in 9.048.

Determine if each of the numbers below is a solution to the inequality 3x-2<2-2x. SHOW ALL OF YOUR WORK

a. 2

b. 1/2

c. -3

d. 2/3

Answers

Answer:

b, c, and d are solutions

Step-by-step explanation:

3x - 2 < 2 - 2x

5x - 2 < 2

5x < 4

x < 4/5

b) 1/2 < 4/5  true

c) -3 < 4/5  true

d) 2/3 < 4/5  true


The ratio of boys to girls in a group is 3:1. If there are 52 more boys than girls, work out how
many people there are in total.

Answers

Answer:

104

Step-by-step explanation:

The ratio of boys : girls = 3 : 1 = 3x : x ( x is a multiplier )

There are 52 more boys than girls , so

3x = x + 52 ( subtract x from both sides )

2x = 52 ( divide both sides by 2 )

x = 26, then

3x = 3 × 26 = 78 ← number of boys

Total number = 78 + 26 = 104

Solve for X. 12y-4x=10

Answers

Answer:

x=-5/2+3y

Step-by-step explanation:

If this answer helped you then please consider making this brainliest and thank this response :)

Answer:

x = -2.5 + 3y

Step-by-step explanation:

Simplifying

12y + -4x = 10

Reorder the terms:

-4x + 12y = 10

Solving

-4x + 12y = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12y' to each side of the equation.

-4x + 12y + -12y = 10 + -12y

Combine like terms: 12y + -12y = 0

-4x + 0 = 10 + -12y

-4x = 10 + -12y

Divide each side by '-4'.

x = -2.5 + 3y

Simplifying

x = -2.5 + 3y

A square pyramid is sliced in half, parallel to the base.
Which of the following statements describes the cross-section?

A triangle with the same height as the pyramid

A square that is smaller than the base

A square that is congruent to the base

A trapezoid that is shorter than the pyramid

Answers

Answer:

I think the answer is a because it not getting any smaller

Answer:

I think a trapezoid that is shorter than the pyramid because it's parallel to the base which automatically know it's not the same height because there's a certain length thats cut off.

Step-by-step explanation:

HELP PLZ
Given that m n and n l what conclusion can be made?

A. N || P
B. M upside down t P
C. M upside down t L
D. L || M

Answers

A

B or D is your answer

Hope this helps

Step-by-step explanation:

N || P

Step-by-step explanation:

the most reasonable answer to me is that coz line n and p will neva meet but I also like L || M(not sure)

hope that helps

Find the value of each variable and the measure of each labeled angle (2x) (3x-42)

Answers

Step-by-step explanation:

Head opposite angles

2x= 3x-42

x= 42°

the angles are 84°

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x is 42 and the measure of the two given angles is 84° each.

What are vertical angles?

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.

The two of the given angles are vertically opposite angles, therefore, the measure of the two given angles will be the same.

(2x)° = (3x - 42)°

2x = 3x - 42

Subtract 2x from both sides of the equation and add 42 to both sides of the equation,

2x - 2x + 42 = 3x - 42 - 2x + 42

42 = 3x - 2x - 42 + 42

42 = x

Therefore, the value of x is 42. Now, the measure of each angle can be written as,

(2x)° = 2(42) = 84°

(3x - 42)° = 3(42) - 42 = 84°

Hence, the value of x is 42 and the measure of the two given angles is 84° each.

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