A bicyclist is riding at a speed of 18 mi/h when she starts down a long hill. The distance d she travels in feet can be modeled by d(t) = 41^2 + 18t, where t is the time
in seconds. How long will it take her to reach the bottom of a 400-foot-long hill?

Answers

Answer 1

Answer:

8 seconds

Step-by-step explanation:

d(t)=400

4t^2+18t=400

4t^2+18t-400=0          subtract 400 from both sides

2t^2+9t-200=0           divide by 2 on both sides

x=8; -25/2                     solve using quadratic formula


Related Questions

In the context of this graph, what do the slope and y-intercept mean?


Help me for a brainliest

Answers

We’re are the answer choices

=
105 min
game
?hr.
game
Help please

Answers

Answer:

105 minutes= 1 hour and 45 minutes

Answer:

1 hour and 45 minutes

or

1.75 hours

please help me I dont know the answer​

Answers

Answer:

2.71

Step-by-step explanation:

Its as simple as plugging in the values of y and z.

THis would give you

      -1.46 + (-3.82) + 7.99

This plus^ you can think about having a 1 in front of it like

-1.46 + 1 (-3.82) +7.99

Multiple positive 1 with -3.82 1 times any value is that number, and positive times negative is negative. then looking like this:

-1.46 - 3.82 + 7.99 plug into a calculator and you get +2.71

Answer:

2.71

Step-by-step explanation:

We'll add the first value and the value in parentheses, being -3.82, then we'll add y, which is a negative because "-y", being -1.46. That becomes -5.28.

We'll then take our -5.28 and add 7.99, which will become 2.71.

Therefore, 2.71 is your answer.

Sheena made a scale drawing of her classroom using a scale of 1 inch = 10 feet. One wall of the classroom in the drawing is 4 inches long. Which proportion can be used to find x, the length of the actual wall, in feet?

Answers

Answer:

40 Feet

Step-by-step explanation:

1 inch = 10 feet

4 inch = 4 * (10 feet)

4 inch = 40 feet

Random variation in a process indicates __________; whereas non-random variation indicates process __________.

Answers

Answer: b. Stability/instability

Step-by-step explanation:

Random variation in a process indicates stability; whereas non-random variation indicates process instability.

When there is random variation in a process, it means that the process is stable and under control such that the only variations are those expected to be in the process.

When the variation is non-random however, it points to instability in process because this variation is special and not inherent in the process.

Answer I will cashapp you!!!

Answers

Answer:

should be y= 4x + 24 let me know if it was wrong

PLEASE HELP !!!!!!!!!

Answers

Answer: bottom one I think

Step-by-step explanation:

Plsss help pay money of mark brainlist

Answers

Answer:

yes, ASA

Step-by-step explanation:

You have two angles and the included side of two triangles, so you can prove the triangles are congruent by ASA.

ASA make the most sense

A Census Bureau report on the income of Americans says that with 90% confidence the mean income of all US households in a recent year was $57,005 with a margin of error of $742. This means that

Answers

Answer: d. the census bureau got the result 57,005 plus or minus 742 using a method that will capture the true median income 90% of the time when used repeatedly.

Step-by-step explanation:

No t-value has been included in this interval so it cannot be correctly labeled a confidence interval.

This invalidates options a to c.

Option d is therefore the correct answer because it states that the census bureau simply got those results above without claiming that the results constituted a confidence interval.

Add and Subtract the fractions below: 1/3 and 1/4

Answers

Addition Answer: 1/3 + 1/4 = 4/12 + 3/12 = 7/12

Subtraction Answer: 1/3 - 1/4 = 4/12 - 3/12 = 1/12

Step-by-step explanation:

Basically, find the greatest common multiple of 3 and 4.  Once you do this, then you can multiply across and solve any fraction problem!

Juan hires an electrician.
Juan pays a one-time fee of $30.
Juan also pays $45 for each hour the electrician works.
Write a function that can be used to find the total charge, c, Juan will pay when the electrician works,h, works

Answers

Answer:

c = 45h + 30

Step-by-step explanation

Hi! You know that you are trying to find the value of c, so you are going to set that as what would be your y value.

Now you know that you have to pay $30 as a fee no matter what, so you need to make sure that there is $30 attached to the equation without it being multiplied by anything.

Next, you know that it is $45 per hour, so you are going to multiply 45*h, where h is the number of hours the electrician works.

Hope this helps!

16. An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write an equation to model the situation. Find the altitude of the plane after 5 minutes​

Answers

Answer:

equation: y=-2,000x+30,000

altitude after five minutes: 20,000

Step-by-step explanation:

y = altitude of the plane

x= slope (the plane descends -2000 feet per min, so the slope is -2000)

the y-intercept is 30,000 as the plane begins at 30000 feet above ground

please help meeeeeeeeeee

Answers

Answer:

x=-5

Step-by-step explanation:

If f(x)=0, then x=-5

Drawing the line y=0 shows this visually

What are all equivalent expressions to 4w+7w

Answers

Answer: 11w

Step-by-step explanation: you can add 4w and 7w since they both have the variable w.

HELP only answer to give right answer pleaseeee

Answers

Answer:

B=4

Step-by-step explanation:

The Y intercept is where the line meets with the middle of the graph

B=4!!!
The y-intercept of the line is B4

A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink B contains 15% real fruit juice. The company used 100.5 liters of real fruit juice to make 30 more liters of Drink A than liters of Drink B. Write a system of equations that could be used to determine the number of liters of Drink A made and the number of liters of Drink B made. Define the variables that you use to write the system.

Answers

Answer:

There needs to be 300 liters of Drink A and 270 liters of Drink B

Step-by-step explanation:

Let a = the amount of Drink A and b = the amount of Drink B

Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:

0.2a + 0.15b = 100.5

We know what the difference between a and b will be 30 liters so:

a - b = 30

Now we have our system of equations

To cancel out a, we can multiply the first equation by -5 so we will now have:

-a - 0.75b = -502.5

a - b = 30

Adding these two equations together, we get:

-1.75b = -472.5

Both sides are negative, so we can take the negative signs away.

1.75b = 472.5

Now divide both sides by 1.75

b = 270

Plugging 270 into b, we have:

a - b = 30

a - 270 = 30

Add 270 to both sides

a = 300

There needs to be 300 liters of Drink A and 270 liters of Drink B

The system of linear equations which could be used to find the amount in litres of drinks A and B are :

(0.2a + 0.15b) = 100.5a - b = 30

Let :

Amount of drink A = a

Amount of drink B = b

Percentage of real fruit juice for drink A = 20%

Percentage of real fruit juice for drink B = 15%

Total litres made = 100.5

(Amount of drink A × percentage) + (Amount of drink B × percentage) = Total litres

(0.2a + 0.15b) = 100.5 - - - - - (1)

The difference between the amount of drink A and B made :

Drink A is 30 liters more than B :

a - b = 30 - - - - - (2)

The system of equations required to determine the amount of drink A and B made are :

(0.2a + 0.15b) = 100.5a - b = 30

Learn more : https://brainly.com/question/20379472?referrer=searchResults

5.) On Wednesday, a restaurant serves coffee to 75 of 150 of its customers.
What percent of the customers ordered coffee?

Answers

Answer:

50%

Step-by-step explanation:

Long division

Answer:

50%

Step-by-step explanation:

To find the percent, divide 75 by 150 and multiply by 100:

75/150

= 0.5

0.5(100)

= 50

So, 50% of the customers ordered coffee

y = 3x + 10 when x = -5

Answers

Answer:

25

Step-by-step explanation:

Answer:

the answer would be -5 because

Step-by-step explanation:

y=3(-5)+10

y=-15+10

y=-5

Jerry borrowed $400 for 5 years at 6% simple interest rate. What will the value of Jerry’s account be after 5 years

Answers

Answer:

here's the answers...,........

50 POINTS PLUS BRAINLIEST

Answers

Answer:

New depth: 11.8 feet

Step-by-step explanation:

0.4 x 3 = 1.2 feet / 1.2 feet in 3 seconds

13 - 1.2 = 11.8

Hope this helps!

xoxo,

cafeology

Answer:

43.5 ft below the surface

Step-by-step explanation:

0.5*5= 2.5

-46+2.5= -43.5

3[ 2(10-5) +5(6-5) ] =

Answers

The answer is 45 (explained down at the image).

Answer:

45

Step-by-step explanation:

What you wanna do is just simplify the equation as much as possible:

First, the inner parenthesis:

2(10-5)=20-10=10

5(6-5)=30-25=5

And then we have:

3(10+5)=

Just simplify! :)

30+15=45

45

I need the answer ASAP no rocky

Answers

Answer:

u = -10

Step-by-step explanation:

Hope this helps! I pray that you get it right and that I get brainliest plzzzz. Thanks!!

PLEASE HELP ILL GIVE BRAINLIEST I JUST NEED THE ANSWER

Answers

Check yes for: (2,0) (-2,1) (0,3) (0,-1) (3,2)

Answer:

WHATT IS THIS MATH IT LOOKS SO HARD:0

Lucy has to run two errands. She starts from home and
travels 3 miles south to the post office. From the post
office, she travels 4 miles east to the gas station. Then,
from the gas station, she travels 5 miles to return home.
The entire trip forms a triangle.
What was the smallest angle made in her trip?

Answers

Answer:

My answer is at the gas station. I hope my answer helped.

When Lucy traveled to the post office and then to the gas station the angle was 90 degrees, at the post office. Then when Lucy was traveling back home from the gas station the angle was a 45 degree. So the smallest angle made during her tip was at the gas station.

Step-by-step explanation:

Find the values of the variables. 9th/10th grade level (see picture)

Answers

Answer:

1.) x = 30

2.) y = 15

Step-by-step explanation:

(3x - 40)° and (2x - 10)° are vertical angles, so they will always be the same

1.) 30

3x - 40 = 2x - 10

3x - 2x = 40 - 10

x = 30

2.) 15

(6y - 10)° + (6y + 10)° = 180°

6y + 6y + 10 - 10 = 180

12y = 180

12y/12 = 180/12

y = 15

Answer:

stop telling people to do your homework on canvas!

Step-by-step explanation:

Melissa ran at a constant speed of 509.056 meters in 62.08 seconds. How far did Melissa run in one second?

Answers

Answer:

8.2

Step-by-step explanation:

509.056/62.08

24/514.8
I really need help on this question please help me
I'm begging thanks :)

Answers

Answer:

the answer is .04634994206

"What is the equation of the line parallel to the given line with an x-intercept of 4?"
y = __x + __​

Answers

Parallel lines have the same slope, so the slope of this new line is 4.

In the form y=mx+b, m is the slope, so the slope of this new line is y=4x+b.

The x intercept is 4, which is the coordinate (4,0). So plug that in to get b:

0=4(4)+b
0=16+b
B=-16

So in total, the new line is y=4x-16.

find the value of y in the formula y=5a-3b+c, if a=12, b=4, and c=8

Answers

Answer:

5. Is your answer for ur questions

Answer:

y= 56

Step-by-step explanation:

y=5a-3b+c

a=12, b=4, c=8

y= 5(12) - 3(4) + (8)

y= 60 - 12 + 8

y= 56

- I hope this helps have a great night

please help I got 20mins​

Answers

Answer/Step-by-step explanation:

Scale factor: 1/4

AC = DF  and 10 ÷ 2.5 = 4

10 x 1/4 = 2.5

DE length: 5

AB = DE

20 x 1/4 = 5

BC length: 30

EF = BC

(Because EF is the dilation) 7.5 x 4 = 30

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