Mathematics College

The number of motorcycle helmets produced in a factory each day is a function of the
number of hours (h) the assembly line is in operation that day and is given by n =
P(t) =
75t-2t^2. The cost C of producing the helmets is a function of C(n) = 7n + 1000

The Number Of Motorcycle Helmets Produced In A Factory Each Day Is A Function Of Thenumber Of Hours (h)

Answers

Answer 1

Answer:

C(t)=525t-14t²+1000

Step-by-step explanation:

n =P(t) =75t-2t²

C(n) = 7n + 1000

(sub in 75t-2t² for n)

C(t)=7(75t-2t²)+1000

C(t)=525t-14t²+1000

Related Questions


A theatre has 46 rows.
There are 42 seats in each row.
During a show at the theatre, there are 50 empty seats.
Work out how many people are watching the show.

Answers

Answer:

1882

Step-by-step explanation:

46x42=1932 1932-50=1882


There is sales of 40% off of the original price. If a mobile phone has a sale price of $180, what was the original price? Choose the correct answer.
A) $200
B) $280
C) $300
D) 320$

Answers

100%-40%=60%
60%=180
100%=? 180*100:60=300$ c)

Answer:

$300

Step-by-step explanation:

If the phone has a discount of 40% that means it cost 60% of the original price

X= original price (100%)

$180  =  60% of the original price

    X   =  100%

 CROSS MULTIPLICATION

60X   =   180x100

60X =  18000

Divide both sides by 60

X  = 300

what is bigger 1 yard or 35 inches

Answers

1 Yard is bigger than 35 inches

Answer:

1 yard

Step-by-step explanation:

in a yard there is 36 inches

Which arrangement of blocks has the least surface area?

Answers

Answer:

8 cubes separated

Step-by-step explanation:

Stefan sells Jin a bicycle for 135 and a helmet and a helmet for 19 the total cost for Jin is 140% of Stefan spent originally to buy the bike and helmet how much did Stefan spend originally how much money did he make by selling the bicycle and helmet to Jin

Answers

Answer:

Originally Stefan spent $ 110, and made $ 30 selling the bike and helmet to Jin.

Step-by-step explanation:

Given that Stefan sells Jin a bicycle for $ 135 and a helmet for $ 19, and the total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet, to determine how much did Stefan spend originally and how much money did he make by selling the bicycle and helmet to Jin, the following calculation must be performed:

100 + 140 = 240

140 = 135 + 19

100 = X

(100 x (135 + 19)) / 140 = X

100 x 154/140 = X

15,400 / 140 = X

110 = X

So originally Stefan spent $ 110, and made $ 30 selling the bike and helmet to Jin.

a piece of work can be completed in 30 days by 10 men. if the work is to be completed 5 days earlier, how many more men are needed? (assume that the men work at the same rate)

Answers

Answer:

so, if 10 men can do it In 30 days, that means a total of 300 "man days".

300 man days divided by 25 days would be 12- so 2 more men.

Garland put 2b + 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week he doubled what was in the bank and put that amount in the bank. If he now has $477 in the bank, how much did he put in the bank the first week

Answers

Answer:

1st week deposit= 2b+3

2nd week deposit=2(2b+3)

3rd week deposit=4(2b+3)

Total deposit=2b+3+2(2b+3)+6(2b+3)

=9(2b+3)

=18b+27

18b+27=477

18b. =477-27=450

18b. =450

;

b=450/18=25

Therefore 2b+3=2(25)+3 =50+3=53

PLEASE GIVE BRAINLIEST

Find the missing side of the triangle

Answers

Answer:

195^2 + 28^2 = x^2

38025 + 784 = x^2

38809 = x^2

square root both sides

x = 197

2. Which expression is equivalent to (9n - 7) - (6n + 5)?
A. 3n - 2
B. 3n - 12
C. 13n - 2
D. 13n - 10

Answers

B. 3n-12
i worked out the problem and it should be right if it’s not right im so sorry

HEY I NEED HELP PLEASE

Answers

Answer 1 is 20%
Answer 2 is 83%
1. 20%
2.83%
I am sure

Find the midpoint between -1/11 and 9/11. Pls, help asap! :)

Answers

Answer:

(4,11) is the midpoint :)

Step-by-step explanation:

it would be

(-1,11), (9,11)

-1+9/2, 11+11/2

8/2, 22/2

4,11

What is the vertex of y=−2x2−4x−5

?
Question 1 options:


(−1,−3)



(−2,−3)



(1,−1)



(−1, 3)

Answers

Answer:

2x2-4x-5=0..........

About 25% of the students at a college are freshmen. Of those, about 50% are women. Does that mean that 75% of the students at the college are freshmen women? Explain

Answers

No. 50% of 25% would be 12.5%, which is no where close to 75%.

Another friend's distance d from you (in feet) after t seconds is given by
d = |80 - 5t|. What does the 80 in the equation represent? What does the 5 in the equation represent? At what times is she 60 ft from you?
​

Answers

I think the 80 represents how far away they initially start from you

And the 5 is their speed

d=|80-5t|
60=|80-5t| |square both sides
60² = (80-5t)(80-5t)
3600 = 6400-400t-400t +25²
25t²-800t +6400 =3600
25t² -800t + 2800=0
5t² -160t +560=0
(ax²+bx+c=0)
(a=+5 b=-160 c=+560)
Sub into -b formula
x=(-b±√(b²-4ac))/(2a)
t= (-(-160)±√((-160)²-4(5)(560))/(2(5)) .


Should get t=4 seconds and t=28 seconds
sub both values back in to make sure

d=|80-5(4)|
d=|80-20|
d=60ft

d=|80-5(28)|
d=|80-140||
d=60ft

말 8.) A baker is ordering eggs for the week. How many cartons of 6 eggs would a baker need to have 225 eggs all together? Explain the reasoning for your answer. (4 pts.)​

Answers

Answer:

38

Step-by-step explanation:

We know that each carton contains 6 eggs and we need a total of 225. To find this answer, divide 225 by 6, which is 37.5. We would have to round up one because you cannot buy half of a carton. So the answer is 38 cartons.

need help on question 22 and 23 , ill give extra points

Answers

22. Republic
23. Veto
22) republic
23) veto

how many is 360 divided by 60?​

Answers

Answer: 6

Step-by-step explanation:

360 divided by 60 =6


Which of the following would be the most logical first step to solving this
quadratic equation?
x2 - 4x + 16 = 2

Answers

Answer:

subtract 2 on both sides

Subtract 2 on both sides

OMG HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEE

Which choices are correct when determining the distance between −56 and 44?

A) The distance is 12 units.
B) The distance is 100 units.
C) distance = |−56 + 44|
D) distance = |−56 − 44|
E) distance = −|−56 + 44|

Answers

D is the answer I think

The correct way of determining the distance between −56 and 44 is distance = |−56 − 44|

What is distance?

Distance is referring to the numerical measurement of how far an object is from a particular place.

Given that, what is correct way to determine the distance between -56 and 44,

So, the distance will be = |-56-44|

= |-100|

= 100

Hence the correct way of determining the distance between −56 and 44 is distance = |−56 − 44|

Learn more about distance, click;

https://brainly.com/question/15172156

#SPJ3

If the spinner is spun one time, what is the probability of the arrow NOT landing on a section labeled with an even number? ​

Answers

What is the range of numbers?

Open the Screenshot to see the problem

Answers

the answe is on the link i put below it’s a file! hopefully it helps

Quadrilateral A'B'C'D'is the result of rotating quadrilateral ABCD by 60° about the origin.

Choose all answers that apply

a. BC and B'C' are both parallel to the y-axis
b. <B and <B' have the same measures
c. D and D' have the same coordinates
d. none of the above

​

Answers

Answer:

a. No

b. Yes

c. No

Step-by-step explanation:

a. For BC and B'C to both be parallel to the y-axis when BC is parallel to the y-axis the figure must be rotated by a multiple of 180 degrees.

b. When you rotate a figure none of the angles in the figure change.

c. For D and D' to have the same coordinates the figure must be rotated by 360.

Find the
area of each
triangle.
9 m
5 m
8m

Answers

Answer:

22.5 [tex]m^{2}[/tex]

Explanation:

The equation for the area of a triangle is [tex]\frac{1}{2}[/tex]bh

In this case, the base is 9 m and the height is 5 m

9x5=45

45/2= 22.5

A golf pro wants to determine if Titleist Pro V1 golf balls (1) travel farther, on average, than Callaway Chrome Soft golf balls (2). A robot hits 9 of each ball, selected at random, and the distance traveled is measured. Assume the distances traveled are normally distributed. The average distance traveled by the 9 Titleist Pro V1 golf balls is 261.1 yards with standard deviation 10 yards, and the average distance traveled by the 9 Callaway Chrome Soft golf balls is 249.3 yards with standard deviation 12 yards.
Which test should the golf pro use to determine if Titleist Pro V1 golf balls travel a longer average distance than Callaway Chrome Soft golf balls?
a. pairedt test for means
b. paredz test for means
c. Ottest for proportions
d. test for means
e. test for means
f. Ottest for proportions

Answers

Complete options are;

A) Paired t-test for means

B) Paired Z-test for means

C) Z-test for proportion

D) t-test for means

E) Z-test for means

F) t-test for proportion

Answer:

B) Paired Z-test for means

Step-by-step explanation:

We are told that the distances travelled are normally distributed.

We are also trying to find out if the average distance travelled by the Titleist Pro V1 golf balls is farther than that of the Callaway Chrome Soft golf balls.

Also, the standard deviation of both cases are known.

Thus, this is where Paired Z-test for means is used.

According to the desired test, the correct option is:

a. paired t-test for means

At the null hypothesis, it is tested that ball 1 does not travel farther than ball 2, that is, the subtraction is of at most 0:

[tex]H_0: \mu_1 - \mu_2 \leq 0[/tex]

At the alternative hypothesis, it is tested if it travels farther, that is:

[tex]H_1: \mu_1 - \mu_2 > 0[/tex]

Since we have the standard deviation for the sample, the t-distribution is used.The values tested are greater than 1, hence, the test is for means.There are two samples, hence a paired test is used.

Considering the three bullet points above, the correct option is a.

For more on a paired t-test for means, you can check https://brainly.com/question/16162795

what's 1/10 of 4 meters
​

Answers

Answer:

2/5

Step-by-step explanation:

1/10 * 4 = 4/10

=2/5

Hope this helps :)

2.5 is 1/10 of 4 meters.

Find the seventh term of the
geometric sequence, given the
first term and common ratio.
a_=1 and r=-2/3
[?]

Answers

Answer:

[tex]T_7 = \frac{64}{729}[/tex]

Step-by-step explanation:

Given

[tex]a =1[/tex]

[tex]r = \frac{2}{3}[/tex]

Required

Determine the 7th term

The nth term of a gp is:

[tex]T_n = a * r^{n-1[/tex]

So, we have:

[tex]T_7 = 1 * \frac{2}{3}^{7-1[/tex]

[tex]T_7 = 1 * \frac{2}{3}^{6[/tex]

[tex]T_7 = 1 * \frac{2^6}{3^6}[/tex]

[tex]T_7 = 1 * \frac{64}{729}[/tex]

[tex]T_7 = \frac{64}{729}[/tex]

A bike travels 7 feet in 1/3 of a second
At the same speed, how many feet will
it travel in 5 seconds?
A) 35 feet
B) 155 feet
C) 105 feet
D) 21 feet
A) 35 Feet
7x5-35

Answers

Answer:

C) 105 feet

Step-by-step explanation:

7(15) = 105 feet

Answer:

C

Step-by-step explanation:

Set one second to x

7 = 1/3x

5÷1/3 = 15

7*15 = 105

Thus, we get C, or 105 as our answer

Can you plz help right answer plz

Answers

Answer:

4.8 inches

Step-by-step explanation:

hey douglas you want to divide 240 by 50 and you’d get 4.8 inches

I WILL GIVE BRAINLIEST :)


The two lines graphed on the coordinate grid each represent an equation
Which ordered pair represents a solution to both equations?

(1,5)
(-5,1)
(5,1)
(-1,5)

Answers

Answer:

I think it would be (1,5)

The two rectanglesare similar. Which is a correct proportion between correspoding sides? I need help

Answers

Answer:

c. 12/4 = l/8

please follow me

Other Questions
100 POINTS AND BRAINLIEST HELP PLS AWNSER THESE Suppose that P(n) is a propositional function. Determine for which improper subset of the domain of n the statement P(n) must be true if a) P(0) is true; for all nonnegative integers n, if P(n) is true, then P(n 2) is true. b) P(0) and P(1) are true; for all nonnegative integers n, if P(n) and P(n 1) are true, then P(n 2) is true PLEASE HELP!!!!!!!!!!!!!!Which subject pronouns have a stem change in the present tense? (Select all that apply.)1. Nosotros2. T3. Yo4. Vosotros5. Ellos6. l HELP ASAP will give brainlist What is Y=x^2-3x+1 in vertex form Please help.Algebra. The community members are free to make their own Family Units? true or false 1. Find the value of x.76(3x-1)PLEASE HELP ,show work pls help will give brainliest What accompanies increased temperature and redness to an injured area?lymphomaadenitisedematinnitusPlz help! > for anatomy What is the probability that a data value in a normal distribution is between az-score of -1.98 and a z-score of 1.11? Round your answer to the nearesttenth of a percent.A. 65.0%B. 55.3%C. 46.2%D. 84.3% read the excerpt below. which of the following documents does this passage most likely come from? men are born and remain free and equal in rights. social distinctions may be founded only upon the general good Pls help me with this. At the local nursing home, Thomas joins his fellow employees in mandatory training about the medical and legal issues of advancedirectives. By providing this education to its employees, the nursing home is complying with:A. AHA's Patient's Bill of Rights.B. OBRA's Resident's Bill of Rights.C Federal law PSDA of 1990.D. State law POA for health care. A can in the shape of a cylinder has a diameter of 10 centimeters and a height of 6 centimeters. Which measurement is closest to the total surface area of the can in square centimeters?A) 345.58 cm2B)293.88 cm2C)222.36 cm2D)449.2 cm2 what is this please please please The _____ on the out side of the virus are "sticky" and attracted to specific molecules on the outside of animal cells. A. Protein Spikes B. Carbohydrate Molecules C. Cholesterol Markers 32Which set of values makes the inequality n > -5 true?A{-5, -5.5, -6}B{-5, -4.5, -3}{-6,0,5}D{-6, -7,-8} Determine the volume of a cone to the nearest tenth, if the diameter of the base is 50.8 centimeters and the cone is 76.2 centimeters tall. Jena is doing research on one of the planets of the solar system. She writes:"This planet quickly revolves around the Sun and has no rings and no moons. It is also the planet that has virtually no atmosphere.Based on information provided in Jenas research, answer the following questions.1) Is this planet an inner planet or outer planet? Answer: ______2) What is the composition of this planet?Answer: ______3) What is the identity of this planet?Answer: ______