a race car is driving under the caution flag at 440 feet per second begins to accelerate at a constant rate after the warning flag. the distance traveled since the warning flag in feet is characterized by 30t^2+440t, where t is the time in seconds after the car starts accelerating again. How long will the car take to travel 150 feet?

Answers

Answer 1

Answer: [tex]\frac{1}{3}\ s[/tex]

Step-by-step explanation:

Given

Distance traveled is [tex]s=30t^2+440t[/tex]

for s=150 ft

[tex]\Rightarrow 30t^2+440t=150[/tex]

[tex]\Rightarrow 30t^2+440t-150=0\\\Rightarrow 3t^2+44t-15=0\\\Rightarrow (3t-1)(t+15)=0\\\Rightarrow t=\dfrac{1}{3}\ s[/tex]


Related Questions

What is the distance between these two points: (1, 2) and (9, 8)?

Answers

Dab = square root of ( xa - xb )^2 + (ya - yb)^2

square root of (1 -9 )^2 + (2 - 8)^2

square root of (-8)^2 + (-6)^2

square root of 64 + 36

square root of 100

10 units

Dakota makes a salad dressing by combining 6 1/3 fluid ounces of oil and 3 3/8 fluid ounces of
vinegar in a jar. She then pours 3 1/4 fluid Ounces of the dressing onto her salad.
How much dressing remains in the jar?

Answers

Answer:

6 11/24

Step-by-step explanation:

Do that on any calculator and it'll be that (also, if you have any other questions like that, I recommend MathPapa

Jerome discovered he had made an error when he measured one of the feathers. Which data value could be the error? Explain

Answers

Answer:

3/4

Step-by-step explanation:

From the plotted number line :

The Outlier value can be determined :

Q1 = 0.25(n+1)th term

Q1 = 0.25(21)th term =  5.25th = (2 1/4 + 2)/2 = 2.125

Q3 = 0.75(21)th term = 15.75th = 2 1/2

IQR = Q3 - Q1 = 2.5 - 2.125 = 0.375 = 3/8

Q1 - 1.5(IQR) = 2.125 - (1.5*0.375) = 1.5625

Q3 - 1.5(IQR) = 2.5 + (1.5*0.375) = 3.0625

Hence, Outlier values will be :

Values < 1.5625 and

Values > 3.0625

The Outlier value in the data is 3/4

Wanna be the Brainiest

Answers

Answer:

156cm^3

Step-by-step explanation:

V= 1/2 a*c*h

a=3

c=8

h=13

3*8*13=312

312/2=156

For every rider picked up, Uber charges a $5.50 fee plus $0.35 per mile. Write the linear function that represents the total cost of an Uber ride for any number of miles

Answers

Answer:

Y =0.35x

Step-by-step explanation:

You know you have to pay the 5.50 so that isn't going to change so that'd cleared up. Next .35 is multiplied every mile they drive

Find the perimeter of the window to the nearest tenth. 20cm

Answers

165.66371cm exact and 165.67 to 2d.p

20 + 20 = 40cm

2πr = 125.66371cm

125.66371cm + 40cm = 165.66371

Have a great day <3 (I'm happy)

8. The talent show committee sold a total of 530 tickets in advance. Student
tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were
$1740, how many of each type of ticket were sold?

... please solve this using systems of equations

Answers

Answer:

Number of students tickets sold = x = 380 tickets

Number of adults tickets sold = y = 150 tickets

Step-by-step explanation:

Let

Number of students tickets sold = x

Number of adults tickets sold = y

x + y = 530 (1)

3x + 4y = 1740 (2)

From (1)

x = 530 - y

Substitute x = 530 - y into (2)

3x + 4y = 1740

3(530 - y) + 4y = 1740

1590 - 3y + 4y = 1740

- 3y + 4y = 1740 - 1590

y = 150

Substitute y = 150 into (1)

x + y = 530

x + 150 = 530

x = 530 - 150

x = 380

Number of students tickets sold = x = 380 tickets

Number of adults tickets sold = y = 150 tickets

Chad has 1.4 gallons of milk. There are about 3.79 liters in 1 gallon. How many liters of milk does Chad have?
A. 3.79
B. 5.31
C. 2.71
D. 0.37

Answers

Answer:

The answer is B. 5.31 gallons

Step-by-step explanation:

2. The store bought a pair of shoes for $60, and sold
it for $100. What percentage was the markup?

Answers

Answer:

33.3%

Step-by-step explanation:

Given data

Cost of shoes= $60

Selling price = $100

% markup = (selling-cost/cost)*100

% markup = (100-75/75)*100

% markup = (25/75)*100

% markup = (0.33333333333)*100

% markup =33.3%

Hence the markup is 33.3%

Plzz help I'LL GIVE BRAINLIEST AND 100 POINTS

Answers

Answer:

6th graders have more participators in extracurricular activities than 4th graders.

There are more 6th graders than 4th graders that participate in extracurricular activities.

Step-by-step explanation:

your answer for the first one. 6th graders have more than 4th gradersdoing activities.

your answer for the second one. There are more 6th graders than 4th graders that participate in extracurricular activities.

I forgot how to do this

Answers

to find the area of the rectangle, do A=lw which is 4x13=52. to find the area of the triangle, first find the height. this is 13-6=7. now do A=bh/2 which is (5x7)/2=17.5. 17.5+52=69.5 which is your answer. DONT OPEN ANY LINKS ON HERE, ITS A VIRUS
First you calculate the area of the rectangle.
It‘s simply one side times the other side.

In your task this would be:
4ft x 13ft = 52 square ft

Now you have to calculate the area of the triangle. The formula for this is: Height x Length of the base x 1/2

So in your task this would be:
7ft x 5ft x 1/2 = 17.5 square ft

(you get the 7ft by subtracting 6ft from 13ft, which results in the height of the triangle)

Now you just add those two surfaces areas together:
52 square ft + 17.5 square ft = 69.5 square ft

The triangles are congruent by SSS or HL.

Triangles M N Q and P Q N are connected at side Q N. Triangle M N Q is rotated about point N and then is shifted to the left to form triangle P Q N.

Which transformation(s) can map TriangleMNQ onto TrianglePQN?

translation only
reflection only
rotation, then reflection
rotation, then translation

Answers

Answer:

rotation, then translation

Step-by-step explanation:

The transformation that map triangle MNQ onto triangle PQN is rotation, then translation.

The given triangles;

Triangle MNQ Triangle PQN

A translation of a triangle occurs when the triangle shifts up, or down,  of left or right on the coordinate plane.

The reflection of a triangle occurs when the vertices of the triangle is flipped over the opposite side.

Since the triangle MNQ is rotated then shifted to the left to form the new triangle PQN, we can conclude that the transformation that map triangle MNQ onto triangle PQN is rotation, then translation.

Learn more about rotation and translation of triangles here: https://brainly.com/question/1616371

Which models represent the sum?
0.4 + 1.4

Answers

Answer:

I think it's the first one and the second one

if a whole pizza has 2400 calories how many calories would you eat if you ate 5/6 of the pizza?

Answers

Answer:

2000 calories

Step-by-step explanation:

2400 / 6 = 400 calories per 1/6 of pizza

400 * 5 = 2000

find the slope hurry pleaseeee

Answers

Answer:

I think the answer is ¼, im not 100% aure tho.

Step-by-step explanation:

Evaluate: (4/25)^1/2

Answers

I think the answer is 2/5

Will give brainliest plz help!

Answers

Answer:

6.28cm

Step-by-step explanation:

I think for me the easiest would be to find the circumference and divide by 4, since the arc is 1/4 of the circumference of the circle.

C=2πr

C=2(3.14)(4)

C = 25.12cm

25.12cm/4 = 6.28

Can someone help me pleasee :)

Answers

Answer:

ill help you

Step-by-step explanation:

ill give brainlist if your correct

Answers

Hope this help hope you pass have a great day

Answer:

I KNOW this is not an awnser but im doing   the same things as you   for summer school help me i help you?????

Step-by-step explanation:

pls also i think it is like c I dont know thou

Please someone help I really need it and please answer if you can give me the answer I will give brainleast just please help me with this

Answers

Answer: I tried to use the step by step explanation of your exercise, I hope Otis helping you and have a nice rest of your day :)

If x-1= k and k=3, what is the value of x
3

Answers

sub in the number
x-1=3
move 1 to the other side, making it positive
x=3+1
x=4

Answer:

x-1/3 = k where k=3

We must be happy enough to find the value of only one valuable here, that is, x.

therefore, x-1/3=3

To find what is x-1, all we need to do is,

Take the denominator of the fraction to the answer (3)and multiply them. (that's how you'll find the values in the numerator)

So, you'll get,

x-1=3*3

x-1=9

To find the value of x,

The other number (-1) should be taken to the answer (9)

(Remember that the sign changes when the number crosses the equals sign)

therefore,

x= 9 + 1 (-1 will turn to +1 on crossing the equal sign)

Therefore , by addition, normally,

you'll get x=10

Hope this helps:)

HELP ME PLEASE NEED HELP PLZZZZ

Answers

C or the third one. You need to add janet’s 400+200 then subtract that total from Micheal’s score.

The side lengths of the figure below are given in centimeters. If the perimeter of this figure is 78 cm, what is the value of x?

Answers

x=-12 or 6
Hopefully this helps :)

Please I will give brainliest

Answers

The answer is 96 square ft

30 POINTS!
Find the value of x. The polygons are similar, but not neccesary drawn to scale.

Answers

Answer:

x = 8

Step-by-step explanation:

x=8

32/24=1 1/3

16/12=1 1/3

(y+1)/21=1 1/3 --> 26 is y

(x-1)/6=1 1/3 --> 7=(x-1) so 8-1=7 so x=8

HOPE THAT HELPS! :)

What is the area of this figure?
Enter your answer in the box.
8 m
m2
p>
5 m
9 m

Answers

Answer:

81m²

Step-by-step explanation:

I took the quiz :)

Answer:

81

Step-by-step explanation:

got it right

6, 18, 54, 162
What is the common ratio

Answers

Answer:

3

Step-by-step explanation:

The common ratio is 3 because 6 x 3 = 18 , 18 x 3 = 54 , and 54 x 3 - 162

Find the circumference of the circle with the given area A. Use 3.14 for TI
A = 87.9
C =
r=

Answers

Area = r^2 * 3.14
87.9/3.14 = around 28
Square root of 28 = 5.3
The radius is 5.3
Circumference: diameter * 3.14
5.3 + 5.3 = 10.6
10.6 * 3.14 = 33.3
The circumference is 33.3

How long does it take $6,000 to quadruple if it is invested at 9.1% interest compounded annually?

a
15.9 years
b
17.8 years
c
37 years
d
222,222.22 years

Answers

Answer:

1. 15.9 years

Step-by-step explanation:

You must solve this equation:

[tex]6000 \cdot 1.091^n > 24000[/tex]

So [tex]1.091^n > 4[/tex]

Take the log left and right:

[tex]\log 1.091^n > \log 4[/tex]

use the log property that you can put the exponent in front:

[tex]n \cdot \log 1.091 > \log 4[/tex]

[tex]n > \frac{\log 4}{\log 1.091}[/tex]

n > 15.917

I WILL MARK SOMEONE BRIANLIEST!!! SOMEONE HELP

Answers

Answer:

See below

Step-by-step explanation:

[tex] \because \: we \: know \: that \\ {2}^{0} = 1 \\ \\ \implies \: log_{2}1 = 0 \\ (if \: {a}^{m} = n \implies \: log_{a}n = m)[/tex]

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