The number of ferryboat trips f(c), needed to transport c cars in 1 day can be found using the function f(c) = c/20 To transport the maximum 1000 cars, the ferry makes 125 daily trips, What is the range of the function?

Answers

Answer 1

Answer:

F(C)<250

Step-by-step explanation:

To solve the problem we need to remember that a function is a relationship between an input usually called "x" (domain) and an output, usually called "y" and it's also the range of the function.

F(X)=y

We are given a relationship (a function) between the ferryboat trips "c" and the number of cars transported per day.

f(C)=C/20

Hence, the range of the function knowing that there are not more than 5000 cars transported by the ferryboat (daily) the range is all the numbers that are less or equal to 250.

F(C)<250

:)!


Related Questions


Which unit of length would be most appropriate to describe the length of your
foot?

Answers

Answer:

inches

Step-by-step explanation:

well depends on how big your foot is

find each sum.
17+(-28)
12+(-9)
-2+7
-14+(-10)

Answers

Answer:

-11

3

5

-24

Step-by-step explanation:

Answer:

1.-11

2.3

3.5

4.-24

Step-by-step explanation:

Hope this helps! :)

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the second one would be the correct anwser i think.

Step-by-step explanation:

market research firm conducts telephone surveys with a historical response rate. What is the probability that in a new sample of telephone numbers, at least individuals will cooperate and respond to the questions

Answers

Answer:

0.8461

Step-by-step explanation:

The question didn't state any value, so I assumed some of my own.

You can check your notes, and change the values to that of your own, it's the same method.

Given that

The market research firm conducts survey with 40% historical response rate.

The total number of sample is used is 400

The total number of individuals expected to cooperate is 150

What is the probability that the sample proportion would be 150/400 or 0.375..

See attachment for calculation.

Please help this one will give you extra points

Answers

THE ANSWER IS B

A: 1/3*6,000,000 does NOT equal 18,000,000

C: However, 2/5*6,000,000 does equal 2, yet, $2.4*10^3 is a FALSE STATEMENT and it doesn't make sense

D: Not ALL statements are correct

I think the answer is B

if Billy has three and four fifths of cake and Sam eats 2/3 of it how much cake does Billy have left ​

Answers

Answer:

3 and one third

Step-by-step explanation:

(3 1/3)

Please help easy question

Answers

The Answer:

63° degrees

Answer:

63° degrees

Step-by-step explanation:

In ΔGHI, \overline{GI} GI is extended through point I to point J, \text{m}\angle GHI = (3x+13)^{\circ}m∠GHI=(3x+13) ∘ , \text{m}\angle IGH = (x+8)^{\circ}m∠IGH=(x+8) ∘ , and \text{m}\angle HIJ = (6x-5)^{\circ}m∠HIJ=(6x−5) ∘ . Find \text{m}\angle GHI.m∠GHI.

Answers

Given:

In ΔGHI, GI is extended through point I to point J.

[tex]m\angle GHI=(3x+13)^\circ,m\angle IGH=(x+8)^\circ,m\angle HIJ=(6x-5)^\circ[/tex]

To find:

The measure of angle GHI.

Step-by-step explanation:

According to exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of measure of two opposite angles.

Using exterior angle theorem, we get

[tex]m\angle HIJ= m\angle GHI+m\angle IGH[/tex]

[tex](6x-5)^\circ=(3x+13)^\circ+(x+8)^\circ[/tex]

[tex](6x-5)^\circ=(4x+21)^\circ[/tex]

[tex]6x-4x=21+5[/tex]

[tex]2x=26[/tex]

Divide both sides by 2.

[tex]x=13[/tex]

Now,

[tex]m\angle GHI=(3x+13)^\circ[/tex]

[tex]m\angle GHI=(3(13)+13)^\circ[/tex]

[tex]m\angle GHI=(39+13)^\circ[/tex]

[tex]m\angle GHI=52^\circ[/tex]

Therefore, the measure of angle GHI is 52 degrees.

Please help this is due today!! Question: What is the relationship between the 6s in 660,472?​

Answers

Answer:

The first 6 is in the hundred thousands place.

The second 6 is in the ten thousands place.

Here are the info for the rest of the numbers:

6 = hundred thousands

6 = ten thousands

0 = thousands

,

4 = hundreds

7 = tens

2 = ones

Hope this helps you!

Best of luck!

Sarah has 4/7 pounds of flour. She is splitting the flour into 5 containers
with the same amount in each container. How much flour will be in each
container? *

Answers

Answer:

4/35 pounds

Step-by-step explanation:

4/7 ÷ 5 is the same as

[tex]\frac{4}{7} * \frac{1}{5}[/tex]

4x1/7x5

= 4/35

Answer:

4/35

Why?

To figure this out I had to make 5 into a fraction. 5/1. Now, I had to find a common denominator. 35. From there I changed both fractions, divided them, and got my answer.

2.

The heights of horses who compete in the Melbourne Derby are

normally distributed with a mean of 66 inches and a standard

deviation of 3 inches.

(a) If a horse is randomly selected from this race, what height

would you expect it to be?

(b) What percentage of horses who compete in the Melbourne

Derby have heights between 60 and 72 inches?

(c) In a particular year there are 25 horses running in the

Melbourne Derby. How many of these would you expect

to have a height of less than 63 inches?

Answers

Answer:

66 inches ;

95.44 ;

4

Step-by-step explanation:

Given that:

Normal distribution with;

Mean(m) = 66 inches

Standard deviation (s) = 3 inches

A.) If a horse is chosen at random, Expected height will be equal to the mean of the distribution = 66 inches

B.) percentage horses who are between 60 and 72 inches

Zscore = ( x - m) / s

x = 60

Zscore = (60 - 66) / 3

Zscore = - 6/3

= - 2

P(Z < - 2) = 0.0228

Zscore = ( x - m) / s

x = 72

Zscore = (72 - 66) / 3

Zscore = 6/3

= 2

P(Z < 2). = 0.9772

Between 60 and 72

0.9772 - 0.0228 = 95.44

c) In a particular year there are 25 horses running in the Melbourne Derby. How many of these would you expect to have a height of less than 63 inches?

Zscore = ( x - m) / s

x = 63

Zscore = (63 - 66) / 3

Zscore = - 3/3

= - 1

P(Z < - 1) = 0.1587

0.1587 * 25 = 3. 967 = 4

GET20 POINTS BY ANSWERING THE QUESTION!

ARE PRIME AND CO-PRIME NUMBERS SAME ? GIVE RIGHT ANSWER AS SOON AS POSSIBLE.​.

Answers

Answer:

[tex]yes \: \\ PRIME \: AND \: CO-PRIME \: NUMBERS \: are \: the \: SAME [/tex]

Prime numbers are numbers which are divisible by either 1 or itself. Co prime numbers are numbers which are not divisible by one number

The ratio of boys to girls in ms Cunningham’s class is 2 to 3. There are 18 girls in the class. What is the total number of students in her class?

Answers

Answer:

30 students

Step-by-step explanation:

you have a ratio, and an unknown amount, so set up a proportion

[tex]\frac{2}{3} = \frac{x}{18}[/tex] I used x because the amount of boys is unknown

so then, cross multiply

(so do 3 times x, and 2 times 18)

[tex]3x=36[/tex]

then divide both sides by 3 to get x by itself, and you get

[tex]x=12[/tex]

this means there are 12 boys in the class. because the problem is asking for the total number of students, add 12 and 18 (the number of boys and girls).

you get 30, so there are 30 students in her class.

Label following study as either an observational study, an experiment, or neither.

Many parents have expressed concerns that pertussis vaccinations will cause wheezing disorders or asthma in later life. In 2009 the Journal of the American Academy of Pediatrics published research by the Institute of Social and Preventive Medicine in Bern, Switzerland. The researchers wanted to determine if routine childhood vaccination against pertussis (whooping cough) was associated with subsequent development of childhood wheezing disorders and asthma. The researchers studied 6811 children from the general population born between 1993 and 1997 in Leicestershire, UK. From birth through 2003, they conducted repeated questionnaire surveys about wheeze and asthma and then linked the respiratory symptom data to independently collected vaccination data from the National Health Service database. Then the researchers compared wheeze and asthma incidents for children of three different levels of vaccination (complete, partial, and no vaccination). The analyses were based on 6,048 children with available vaccination records.

a. observational study
b. an experiment
c. neither

Answers

Answer:

a. observational study

Step-by-step explanation:

An observational study is one in which the researcher seeks to discover the effect of a disease or treatment without interference on those who are affected or not affected by it. Observational studies could be of two types namely; the case-control, and the cohort study. The research given above is a cohort study because it compares a group of people born in the same time period and checks for the presence of a disease that could be linked to the vaccinations administered at birth.

A case-control study compares those affected by the disease to those not affected by it. An experimental study assigns the participants to groups and there is a control or placebo group. After this, the results from the groups are compared.  

Evaluate:

54 - 75 + 81 - (-27) + 53

Answers

54-75+81-(-27)+53
Turn the two negatives positive

54-74+81+27+53
Add 81 and 27
Add 108 and 53
Add 54 and 80
Subtract 75 from 134
= 59

What is the 8th term of the sequence 12, 17, 22, 27, 32,...​

Answers

Answer:

47

Step-by-step explanation:

just keep adding by 5

If f(x) = -x + 4 and g(x) = x^2 - 5, then g(f(-1)) = ?

Answers

Answer:

g(f(-1)) = 20

Step-by-step explanation:

first we need to compute f(-1)

f(-1) = -( -1 ) + 4 = 1 + 4 = 5

then we take g(5):

g(5) = ( 5 )^2 - 5 = 25 - 5 = 20

Help please will give brainlest!!!

Answers

Answer:

1.55 or 31/20 which is 1 11/20 gallons

Step-by-step explanation:

What is the probability of getting orange
or blue and a multiple of 3?

Answers

Answer:

the answer is 1/2 because of the multiple of 3

According to the U.S. Geological Survey, the Mississippi River is 200 mi
shorter than the Missouri River. Together, they cover a total of 4880 mi.
How long is the Missouri River? *

Answers

the answer would be 4,680 miles

Kia Read for a total of 60 minutes on Monday and Tuesday. He read for 60 minutes on Tuesday. How many minutes did he read on Monday?

Answers

kia read 0 minutes
60 - 60 = 0

ANSWER PLEASE 100 POINTS

Answers

Answer: multiplication property of equality

Step-by-step explanation:

in the equation 2(x-3)=18

it should be 2x-6=18

x=12 by the way

[tex]\begin{gathered} \: \: \: \footnotesize{\boxed{\begin{array}{c|c}\boxed {\bf {Statement}} & \boxed {\bf {Reason}} \\ \\\\ \text{2(x-3)=18} & \sf{Given} \\\\ \text{ 2x-6=18} &\sf{Multiplication ~property~ of~ equality } \\\\ \text{2x=18+6}& \sf \\\\ \text{2x=24} &\sf{Addition~ property~ of~ equality }\\\\ \text{x=24/2} & \sf{Division~ property ~of ~equality }\\\\ \text{X=12} & \sf \end {array}}}\end{gathered}[/tex]


What is one other way to write 10x7 ?
A:10+7
B:(10)(7)
C:10-7
D:10/7

Answers

Answer

B

Step-by-step explanation:

Please Help!!!!!!!!
19. The velocity of an object fired directly upward is given by V = 35 – 9.8t, where t is time in seconds. Which inequality describes the velocity when t is between 0.5 and 1.5 seconds? (HINT: Remember that when you multiply an inequality by a negative number, you must switch the direction of the inequality.)
A. 20.3 > 35 - 9.8t > 30.1
B. 4.9 > t > 14.7
C. 0.5 35 - 9.8t > 4.9
D. V < 30.1
E. 20.3 < 35 - 9.8t < 30.1
F. 14.7 > 35 - 9.8t > 4.9

Answers

Answer:

20.3 < 35 - 9.8t < 30.1

Step-by-step explanation:

Given the Velocity model:

V = 35 – 9.8t ; t = time in seconds

V when t is between 0.5 and 1.5

V when t = 0.5

V = 35 - 9.8(0.5)

V = 35 - 4.9 = 30.1

Vt=0.5 = 30.1

V when t = 1.5 ;

V = 35 - 9.8(1.5)

V = 35 - 14.7 = 20.3

Vt= 1.5 = 20.3

Hence V, between, t = 0.5 and t = 1.5

Vt=1.5 < V < Vt=1.5

20.3 < V < 30.1

V = 35 - 9.8t

20.3 < 35 - 9.8t < 30.1

In the figure find aec

Answers

Answer:

105

Step-by-step explanation:

the angle of aec is just a little more that 90°

9+10
A.21 B.19 C.1 D.90

Answers

Answer: 19 XD

Step-by-step explanation: u add

there are 3 people at a party if each person must shake hands with every other person at the party exactly once how many handshakes will there be​

Answers

Answer:

there will be 9

Step-by-step explanation:

You track inventory at a furniture store. On Monday, the delivery truck delivers 15 new mattresses. Your team sells seven mattresses on Monday, two mattresses on Tuesday, zero on Wednesday, and five on Thursday. You receive a new order Friday morning of 15 mattresses. How many mattresses do you now have available?

Answers

Answer: 16

Step-by-step explanation: You started with 15 , you lose 7 Monday which leaves you with 8 , 2 on Tuesday which leaves you with 6 , 5 on Thursday which leaves you with 1 and then you received 15 on Friday which brings you to 16

The number of mattresses available now is 16.

Given that, On Monday, the delivery truck delivers 15 new mattresses. Number of mattresses sold on Monday=7, number of mattresses sold on Tuesday=2, number of mattresses sold on Wednesday=0, and number of mattresses sold on Thursday=5.

What is an equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.

Let number of mattresses do you now have available be x.

Given that, receive a new order Friday morning of 15 mattresses.

So, x=15-(7+2+0+5)+15

=30-14=16

Therefore, the number of mattresses available now is 16.

To learn more about an equation visit:

https://brainly.com/question/1529522.

#SPJ2

angle 1 and angle 4 are blank angles​

Answers

Answer:

C.  vertical angles

Step-by-step explanation:

The correct answer is C. vertical angles.

John earns $437 a week after a 15% pay rise. What was his pay initially? Round your answer to the nearest dollar.

Answers

Answer:

380 dollars

Step-by-step explanation:

John earns $437 a week after a 15% pay rise.

Let the initially pay of John be x

x + (15% of x) = 437

x + 0.15x = 437

1.15x = 437

x = \frac{437}{1.15}

1.15

437

x = 380

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