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

16 + x = 22
Please help

Answers

Answer:

6

Step-by-step explanation:

All you have to do is subtract 16 from both sides!

16+x=22

-16    -16

x=6

I hope this helps, and have a great day! :)

Three prime numbers that can be multiplied to get 825

Answers

Answer:

Prime factorization: 825 = 3 × 5 × 5 × 11, which can be written 825 = 3 × 5² × 11.

Step-by-step explanation:

Hope this helps!

Answer: 3, 5, and 11

3 * 5 * 5 * 11

Step-by-step explanation:

Make a factor tree for 825

                                 825

                                  /   \

                                5   165

                                       /   \

                                       5   33

                                            /   \

                                           3    11

last math question for today!!!!​

Answers

Answer: Maybe search it up?...I cant rlly see what the question says

Step-by-step explanation:

i need help fast!! and i’m almost failing

Answers

Answer:

well I would love to help-where is the pic...?

Solve using the quadratic formula. x^2−10x+23=0

Answers

Answer:

x  =  5  ±  √  2

Step-by-step explanation:

please tell me the answer to this

Answers

Answer:

Wow you got s lot of questions wrong

Step-by-step explanation:

4(−3x+8)=−16 Which value is the solution to the equation below?

Answers

Answer:

I'm 99.9% sure that x=4

Step-by-step explanation:

The answer is X=4 explanation in picture

complete this please, i really need your help ")​

Answers

Answer:

²,2.5,2.5+10,25.0

may it help you

Use simple interest to find the ending balance. $215 at 8% for 8 years

Answers

Answer:

$ 352.6

Step-by-step explanation:

SI = P (1 + rt)

= 215 [ 1 + (0.08) x 8]

= 215 (1 + 0.64)

= 215 (1.64)

= $ 352.6

352.6 is the answer to this wusdt

1. Lynn is tracking the progress of her plant's growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day. A. Find an equation that represents the plants height after any given number of days. B. How tall is the plant after 9 days?

Answers

Answer:

the anwer is C

Step-by-step explanation:

I hope its help

Distribute and simplify these radicals. 23-(V+ 3) O 2V5 + 6 02/15 O 30 O 6/2+6​

Answers

Answer:

A)

Step-by-step explanation:

6)a garden was square, but last year she made it makes or shortening one side 5 meters and the other 8 meters. If the area of the smaller garden is 180 m², then what was the area of her square garden​

Answers

Answer:

let dimention of original garden be x

then (x-8)(x-5) = 180

x^2 -13x -140 = 0

(x-20)(x+7)=0

x= 20 or x = -7

x = 20

original area = (20)^2

= 400 m^2

PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my computer is slow and no ctrl c ctrol v if possible

Answers

Answer:

No

Step-by-step explanation:

For this triangle to be a right triangle the following has to happen:

a^2 + b^2 = c^2

a=3, b=9, c= 12

3^2+9^2 does not equal 12^2

9+81 = 90        12^2 = 144

90 does not equal 144 so is not a right triangle

Answer:

see explanation

Step-by-step explanation:

Using converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 12 , then 12² = 144

3² + 9² = 9 + 81 = 90 ≠ 144

Thus the triangle is not right.

if i made 70 dollars a week how much would i make in a month

Answers

Answer:

there are 4.3 weeks in a month

so then,

4.3 × 70 = 301

the awnser is:

301 dollors per month

Which expressions are equivalent to 7x - 14? Check all that apply.
□ 14 - 7x
□x-2
□-(14 - 7x)
□ 7(x-2)
□ 3x - 14 + 4x
□ 2x - 10 + 5x + 4​

Answers

Answer:

-(14 - 7x)

7(x- 2)

3x - 14 + 4x

these are correct

Please help! 17/20. Will give brainliest! Spam answers will not be tolerated!
Factor. [tex]21x^2+22x-24[/tex]

Answers

Answer:

( x - 1 ) ( 2x + 24)

Step-by-step explanation:

2x² + 22x - 24

P= -48 , S = 22 , F = 24 and -2

2x² - 2x + 24x - 24

2x (x -1) +24 (x -1)

(x - 1) (2x + 24)

What is the value of n that makes 10n = 50 true?

Answers

Answer:

n=5

Step-by-step explanation:

50 divided by 10 = 5

Answer:

n=5

Step-by-step explanation:

To figure out n we must divide 50 and 10.

50 ÷ 10 = 5

So n=5

The triangles on the grid below represent a translation.

On a coordinate plane, triangle A B C is shifted 5 units up to form triangle A prime B prime C prime.

Which translation is shown on the grid?
a horizontal translation only
a vertical translation only
a horizontal translation followed by a vertical translation
a vertical translation followed by a horizontal translation

Answers

Answer:

B. Vertical Translation only

Step-by-step explanation:

:>

The triangle ABC is vertically translated only. Then the correct option is B.

What is a transformation of geometry?

A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.

Reflection does not change the size and shape of the geometry.

Rotation does not change the size and shape of the geometry.

Translation does not change the size and shape of the geometry.

On a coordinate plane, triangle ABC is shifted 5 units up to form triangle A'B'C'.

The diagram is given below.

From the diagram, we can clearly observe that the triangle ABC is vertically translated only.

Then the correct option is B.

More about the transformation of geometry link is given below.

https://brainly.com/question/22532832

#SPJ5

Which graph can be defined by the function y = -6x +
1?
Click on the correct graph.
A)
-15
c)
D)
15
15
10
-10
-15

Answers

Answer: The answer is A I am 100% sure

Step-by-step explanation:

Evaluate ba+cd if a=7/8 , b=−7/16 , c=0.8 , and d=1/4 . Write your answer as a mixed number in simplest form.

Answers

Answer:

-117/640

Step-by-step explanation:

ba + cd

b= -7/16

a= 7/8

c= 08.(4/5)

d= 1/4

Hence it can be calculated as follows

-7/16×7/8 + 4/5×1/4

-49/128 + 1/5

-246+128/640

= -117/640

Answer: -2 11/20

Step-by-step explanation I did this and it is correct

1. The function f(x) = -0.05(x2 - 26x - 120) represents the path coming out of the cannon. If x is the horizontal distance from the cannon, what does f(x) represent? (1 point)

Answers

Answer:

f(x) represents the vertical height of the cannon

Step-by-step explanation:

The given function is presented as follows;

f(x) = -0.05·(x² - 26·x - 120)

Given that 'x' represent the horizontal path of the cannon and the function describes the path of the cannon, we have that the vertical height reached by the cannon as it moves along the horizontal path is given as the function f(x)

Therefore, we have;

f(0) = -0.05·(0² - 26×0 - 120) = -0.05 × -120 = 6

f(0) = 6

The starting height of the cannon = 6

The maximum height reached by the cannon is given as follows;

f'(x) = d(-0.05·(x² - 26·x - 120))/dx = -0.05·d(x² - 26·x - 120)/dx = -0.05×(2·x - 26)

f'(x) = -0.05×(2·x - 26)

f'(x) = 0 At maximum height, therefore, we have;

-0.05×(2·x - 26) = 0

(2·x - 26) = 0

2·x = 26

x = 26/2 = 13

x = 13

f(13) = -0.05·(13² - 26×13 - 120) = 14.45

The maximum height = 14.45

Therefore;

f(x) = The vertical height of the cannon

Roberto will roll a number cube and flip a coin. The faces of the number cube are labeled 1 through 6. The coin can land on heads or tails. What is the probability that the number cube lands on an even number and the coin lands on tails?

Answers

Answer: There are 3 even numbers on the cube. There are 2 sides to a coin. there is a 1/2 chance of the cube landing on an even number. There is a 1/2 chance of the coin landing on tails.

There is a 1/4 chance of these events occurring together.

Choose the amount of money that is equal to 9 dimes. 4 quarters 3 quarters 3 nickels 2 quarters 3 dimes 4 quarters

Answers

Answer:

$4.60 dollars

3 people invest in a business in the ratio 2:3:5.if the profit from the business is $450 000.how much does each person get?​

Answers

Each person gets 45,000

Answer:

$90,000;$135,000;$225,000

Step-by-step explanation:

In this question we have to find the share of each person

First we have to find the sum of all the ratios,

[tex]2 + 3 + 5 \\ = 10[/tex]

Then we have to represent their share as a fraction and then multiply it by the total value,

The share of first person:-

[tex] \frac{2}{10} \times 450000 \\ = 2 \times 45000 \\ = 90000[/tex]

So the first person share is $90,000

The share of second person:-

[tex] \frac{3}{10} \times 450000 \\ = 3 \times 45000 \\ = 135000[/tex]

So the second person share is $135,000

The share of third person:-

[tex] = 450000 - (135000 + 90000) \\ = 450000 - 225000 \\ = 225000[/tex]

So the third person share is $225,000

(This is your answer hope it helps :))

Find the 7th term of the geometric progression which begins -6250, 1250, -250....

Answers

Answer:

a(7) = -0.4

Step-by-step explanation:

The general formula for a geometric progression is a(n) = a(1)*r^(n - 1), where r is the common ratio.  In this problem, a(1) = -6250.  To find r, we divide 1250 (the 2nd term) by -6250 (the 1st term), obtaining r = -0.2.

Then the formula for THIS geometric progression is

a(n) = -6250*(-0.2)^(n - 1).

Thus, the 7th term of THIS progression is

a(7) = -6250*(-0.2)^(7 - 1), or -6250*(-0.2)^6, or -0.4

Answer:

a₇ = - [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

The nth term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 6250 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , then

a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex] = - 6250 × [tex]\frac{1}{15625}[/tex] = [tex]\frac{-6250}{15625}[/tex] = - [tex]\frac{2}{5}[/tex]

The drama club sold tickets for the school play at $5 each. A ticket for the dress rehearsal cost $2. The club sold four times as many tickets for the play as for the dress rehearsal. The drama club collected $5148 for the tickets. How many tickets were sold for the dress rehearsal? How many tickets were sold in total?

Answers

ahoj odpoveď je 你好,答案是

You purchase three $0.89 candy bars and you hand the cashier a $5 bill. You then tell them to keep the change as a top. What percent tip did you leave

Answers

Answer:

82.2%

Step-by-step explanation:

You gave them $4.11 extra and 4.11 of 5 is 82.2

Laura borrowed $40,500 at 3% for 10 years. what was the total interest?

Answers

Answer:

$12,150

Step-by-step explanation:

I = Prt

I = (40500)(0.03)(10)

I = 12150

Please answer quickly

Answers

Answer:

1 1/2

Step-by-step explanation:

Solve
a.2 (3x - 1) = 40
b.4(2x + 13) = 80

What is x​

Answers

the first answer is 40

then number B is 80 hope this helps

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