The function r(x) = –0.000345(x – 50)2 + 2.1 can be used to model the curve of a road designed to allow for water to run off in rainstorms depending on the distance from the shoulder of the road, x, in feet. A European firm studying these curves is going to convert feet to meters using the function m(x) = 0.3048x. Which composition can be used to model the curve of the road in terms of meters?

Answers

Answer 1

Answer:

- 0.000105156(x - 50)² + 0.64008

Step-by-step explanation:

Given the curve function model : -0.000345(x - 50)² + 2.1 ; Which is measured in feets :

To convert the curve model in feets to metres +, using the function :

m(x) = 0.3048x

Multiply m(x) by r(x)

Hence,

m(r(x)) = 0.3048(-0.000345(x - 50)² + 2.1)

m(x) = - 0.000105156(x - 50)² + 0.64008 ; measured in meters


Related Questions

i need help plz help me

Answers

Answer:

3000g

hope this helps

0.072 as a multiple power of 10

Answers

Answer:

0.72 I think but not sure

Thank you ☺️☺️

look at image..........................

Answers

Answer:

8p+25b

Step-by-step explanation:

Answer:

8p+25b

Step-by-step explanation:

You dont know how many of each he bought so you use the variables. so,  p-packets b-boxes. You put them in w the numbers, 8p(packets) 25b(boxes)

Select the correct answer.
To bake one cake, Drew uses 18 ounces of flour. He has 850 ounces of flour. Let y represent the ounces of flour left and x represent the number of cakes he has baked. When the situation is modeled on a graph, what are the slope and the y-intercept of the line representing this situation?
A.
slope = 850 and y-intercept = 18
B.
slope = 18 and y-intercept = 850
C.
slope = -18 and y-intercept = 850
D.
slope = 850 and y-intercept = -18

Answers

Answer:

The answer is C, hope that helps:)

Step-by-step explanation:

What is the equation of the following graph

Answers

Answer:

y=1 is the equation! :))

Step-by-step explanation:

Need help ASAP!! Will give brainliest

Answers

Answer:

yea i know this but imma just give to ya short its A

Step-by-step explanation:

Given h(x)=-3x-2,solve for x when h(x)=1​

Answers

Answer:

-5

Step-by-step explanation:

The value of x for the given function h(x)=-3x-2 such that h(x) = 1 will be -1.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

As per the given funciton,h(x) = -3x - 2

For h(x) = 1

1 = -3x - 2

1 + 2 = -3x

3 = -3x

x = -1

Hence "The value of x for the given function h(x)=-3x-2 such that h(x) = 1 will be -1".

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Simplify 1/4 + 1.20 explain

Answers

Answer:

1/4 +1 1/10_.25 + 1.20

Step-by-step explanation:

1/4 also known as a quarter, should easily be known as .25, and .20 should be equal to 1/10 since .20x10 equals 1. that one in the equation doesn't really make a difference. (it's kinda just there¯\_(ツ)_/¯) so technically you have your answer.

what is the factor of 2x2 - 5x - 12???
hurry up guyss pleaseee!

Answers

Step 1:

[tex]2 {x}^{2} - 5x - 12[/tex]

Step 2:

[tex]2 {x}^{2} - 8x + 3x - 12[/tex]

Step 3:

[tex]2x(x - 4) + 3(x - 4)[/tex]

Step 4:

[tex]\blue{(x - 4)(2x + 3)}[/tex]

Angle A and angle B are vertical angles. If m A=(5x-24) and m_B=(3x+24), then find the value of x and the measure of angle A

Answers

Answer:

Step-by-step explanation:

If they are vertical angles, they are equal.

5x - 24 = 3x + 24                      Add 24 to both sides

5x -24 +24 = 3x + 24 + 24       Combine

5x =   3x + 48                           Subtract 3x

5x - 3x = 3x-3x + 48                Combine

2x = 48                                    Divide by 2                                

x = 24

<A =5*24 - 24

<A = 96

Answer: x= 24

Step-by-step explanation: (5x-24)+(3x+24)=180 and when you solve this equation you get 24. Hopes this helps love u ❤️

Help asap

The soccer team is conducting a fundraiser selling long-sleeved T-shirts for $14 and short-sleeved T-shirts for $10. So far the team has sold less than $200 worth of the two types of T-shirts. Which inequality best represents x, the number of long-sleeved T-shirts they have sold, and y, the number of short-sleeved T-shirts they have sold?

x + y 200
14x + 10y > 200
14x + 10y < 200

Answers

Answer:

14x +10y < 200

Step-by-step explanation:

The inequality that represents the given condition is: 14x + 10 y < 200.

What is an inequality?

"An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions."

Given, the price per long sleeved t-shirt is $14.

The price per short sleeved t-shirt is $10.

The soccer team has sold less than $200 worth of both types of t-shirts.

Here, the number of long-sleeved t-shirts they have sold is 'x'.

The number of short-sleeved t-shirts they have sold is 'y'.

Therefore, the total price of long sleeved t-shirt sold is = $14 × x = $14x

The total price of short sleeved t-shirt sold is = $10 × y = $10y

Therefore, the required inequality will be:

14x + 10 y < 200

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find an equation of the line through (4,6) and parallel to y=3x+7

Answers

Answer: y = 3x - 6

Step-by-step explanation: A line that is parallel to another line must have the same slope, so you already have y = 3x + b. To find b, use the point that they give. b is the y-intercept, so just subtract 3(x) from the y coordinate of the point, where x is the x-coordinate of the given point.

How much is 200 tens

Answers

Answer:

if you're sating 200 tens(10), then it equals 2000

Step-by-step explanation:

because you'd multiply them, and 200 times 10 equals 2000.

and if you ment 200 ton, the it's 400000. because a ton is 2000, so 200 times 2000 equals 400000

giving brain list ..

options:

C is the midpoint of BD


reflexive property
definition of midpoint
vertical angles
given

Answers

Answer:

1. A is congruent to C

2. Given

3. I think line ac is congruent to line ce, don't know the options

4. angle ABC is congruent to angle DCE

5. Possibly vertical angles

The menu price of a sandwich at a restaurant is $6. The purchase is subject to a 5% food tax, and you would like to leave a tip of 20% on the pre-tax cost. How much tax do you pay? How much of a tip should you leave? What is the total cost of your meal, after tax and tip?

Answers

Answer: See explanation

Step-by-step explanation:

Price of sandwich = $6

Food tax = 5% of $6

= 0.05 × $6

= $0.3

Tip = 20% of $6

= 0.2 × $6

= $1.2

Total cost of meal:

= $6 + $0.3 + $1.2

= $7.5

Answer: 1: $0.30 2: $1.20 3: $7.50

Step-by-step explanation:

f(x)=(-3x+2) and g(x)=(2x^2-5x-1)

Answers

Answer: -6x² + 15x + 5

Step-by-step explanation:

To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.

Step 1: f(x) = -3(2x² - 5x - 1) + 2

Step 2: Apply the distributive property

-3(2x²) + -3(-5x) + -3(-1)

-6x² + 15x + 3

Step 3: Simplify

f(x) = -6x² + 15x + 3 + 2

f(x) = -6x² + 15x + 5

the mean number of goals scored is 2.5.
the mean number of away goals scored is 1.8.

How many home and away games have been played in total?

Answers

Answer:

2 games.

Step-by-step explanation:

2.5 + 1.8 = 4

4 divided by 2 = 2

Total 32 games home and away games have been played.

What is the mean?

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

From the bar chart :

We can obtain the total number of goals scored :

Home goals (quarter 1 to quarter 4) :

= (9 + 6 + 8 + 7)

= 30

Away goals (quarter 1 to quarter 4) :

= (2 + 7 + 4 + 5)

= 18

Using the relation :

Mean goals scored = total goals scored / number of games played

Home games :

Mean goals = 2.5

Number of home games played = total goals scored / mean goals

= 30 / 2.5

= 22

Away games :

Mean goals = 1.8

Number of away games played = 18 / 1.8

= 10

Therefore, number of home and away games played in total = 22 + 10 = 32 games

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If a = 5x + 8 and d = 62, find the value of x.​

Answers

Answer:

first if a=d that 62=5x+8

62-8=5x+8-8 ...substract by same number

54=5x ....simplifying

54/5=5x/5 ....divided by two equal part

10.8=x

what is the missing factor in the equation

Answers

y^3/4x

Step-by-step explanation:

here,

6x^2/5y *(y^3/4x)

3xy^2/10

PLEASE HELP!! MATH FINAL :)) no explanation needed.

Answers

Answer:

195 or 15^2- 2(15)

Step-by-step explanation:

0.39/0.75 as a decimal​

Answers

Answer:

0.52

Step-by-step explanation:

Divide.

Answer:

0.3333333333333333333333 it non terminating

Find the average rate of change of g(x)=3x^2 ver the interval [-5, -3].

Answers

Answer:

ill help

Step-by-step explanation:

Two groups of friends go to a movie. Each ticket costs the same amount. One group spends ​$57. The other group spends ​$95. List all possible whole number ticket prices for each group. At most how much does each ticket​ cost? Suppose a group of 2 friends goes to this movie. At most how much does this group​ spend?


List all possible whole number ticket prices for the group that spends ​$57. Select all that apply.


A. ​$19

B.$1

C. ​$57

D. ​$95

E. ​$3

F. ​$5

List all possible whole number ticket prices for the group that spends ​$95. Select all

that apply. A. ​$3

B. ​$19

C. ​$1

D. ​$57

E. ​$95

F. ​$5 At most how much does each ticket​ cost?

Answers

Answer:

1) All possible number tickets for group that spends $57: A, B, C, D

2) All possible number tickets for group that spends $95: B, C, E, F

3) Each ticket will cost at most $19

Step-by-step explanation:

We are told that one group spends $57 dollars while the other group spends $95.

Now,we want to find all possible whole number ticket prices for each group and at most how much each ticket​ costs.

To do this, let's first find the factors of both amounts which will give us all possible whole number ticket prices for each group.

57: 1, 3, 19, 57

95: 1, 5, 19, 95

Since each ticket costs same amount, to find out at most how much each ticket costs, we will select the highest common factor of both groups which is 19.

Thus,each ticket will cost at most $19

Solve for x number 9​

Answers

Answer:a

Step-by-step explanation:

Answer: B

Solving Steps:

What is the value of this sum 6372+5849?

Answers

6372+5849=12,221 is the answer on your qquestion

Which number line best shows the position of 13?

Answers

The 3rd number line because the square root of 13 is 3.6!

Shane plans on finding a summer job so he can earn enough money to buy a new laptop that costs $595. He has already saved $150. If Shane
finds a summer job that pays him $7.50 an hour after taxes are withheld, what is the minimum number of hours he will have to work in order to
purchase the laptop?
80
79
60
59

Answers

Answer:

59

Step-by-step explanation:   x=number of hours

150+7.50x=595

7.50x=595-150

7.50x/7.50=445/7.50

x=59

please help im struggling really bad on this one question.

Answers

Answer:

B

Step-by-step explanation:

90 degrees means 1/4 of 360 degrees. If you think about it like a clock it would be at 3:00. B is the representation of that

Answer:

B

Is going clock wise I dont really know how to explain it

In the diagram, which angles from a linear pair ? Select 3 options

Answers

RST and RSV
RST and VSU
TSU and USV

PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!11

Simplify (−3.5)(−3)(−6.4).

1. −672
2. −67.2
3. 67.2
4. 672

Answers

Answer:

2 -67.2

Step-by-step explanation:

-3.5 Times -3 = 10.5

10.5 Times -6.4 = -67.2

Answer:

2. -67.2

Step-by-step explanation:

(−3.5)×(−3)×(−6.4)=−67.2

I have done it before and I did the work.

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