The driver of a car traveling at 60 ft/sec suddenly applies the brakes. The position of the car is s(t) = 50t - 2t2, t seconds after the driver applies the brakes. How many seconds after the driver applies the brakes does the car come to a stop? (4 points)

Answers

Answer 1

Answer:

t=12.5s

Step-by-step explanation:

s(t) = 50t - 2t^2

v(t) = 50 - 4t

a(t) = -4

When v(t) = 0, the car stops.

v = u +at

0 = 50 + (-4)t

t = 12.5


Related Questions

Help me please!!!!

Adrienne and Suki simplified the expression -(8) - (-6). Their work is shown
below. *
Adrienne's Work
Suki's Work
-8-(-6)= -14
-8-(-6)=-2
A. Whose answer is correct?
B. Explain the error the other person made.
Your answer

Answers

Answer:

im pretty sure it would be -8-(-6)=-2 for the first one

A rose bush of height `h` is planted at an initial height of 3 feet. The bush is expected to grow an average of 0.5 feet per year. How tall will the bush be 3 years after planting? Show the work that leads to your answer (either in the text box below or on the white board to the right).

Answers

Answer:

The height is 4.5ft

Step-by-step explanation:

Given

[tex]Initial\ Height = 3\ ft[/tex]

[tex]Growth = 0.5\ ft[/tex] yearly

Required

Determine the height in 3 years

First, we need to determine the growth equation.

Represent the height with h and the years with x

So:

[tex]y = Initial\ Height + Growth * x[/tex]

[tex]y = 3 + 0.5 * x[/tex]

[tex]y = 3 + 0.5x[/tex]

To solve the required, we have that:

[tex]x = 3[/tex]

[tex]y = 3 + 0.5x[/tex] becomes

[tex]y = 3 + 0.5 *3[/tex]

[tex]y = 3 + 1.5[/tex]

[tex]y = 4.5[/tex]

Hence, the height is 4.5ft

Mr. Morgan invested $20,000 in an account earning 4.5% annual interest. How many years would it take for him to earn 5400 in a simple interest

Answers

6 years
£20,000 x 0.045 = £900
£5,400 / £900 = 6 years

- 5.2-(-3.1) + 5.2
I

Answers

Answer:

7.3 I think

Step-by-step explanation:

Your answer is 3.1 because the 5.2’s cancel out since one is negative and the other is positive and you have -(-3.1) left over. Two negatives turn into a positive so -(-3.1)= 3.1

how do you find the angle of a slope​

Answers

Answer:

Rise over Run, the slope in this graph would be 3/4

Step-by-step explanation:

You count the number of spaces it takes to move up, then you move right, towards the line. You write the rise number on top and the number moving right (run) on the bottom, (rise over run).

I hope this helps you, if not let me know in the comments :)

You kinda remind me of Joe...

Answers

Answer:

nice

Step-by-step explanation:

Answer:

ok?

Step-by-step explanation:

what are the solutions of x2-4x+5=0
please help!!

Answers

Answer:

The solutions to the quadratic equation are:

[tex]x=i+2,\:x=-i+2[/tex]

Step-by-step explanation:

Given the equation

[tex]x^2-4x+5=0[/tex]

solving the equation

[tex]x^2-4x+5=0[/tex]

subtract 5 from both sides

[tex]x^2-4x+5-5=0-5[/tex]

[tex]x^2-4x=-5[/tex]

[tex]\mathrm{Add\:}\left(-2\right)^2\mathrm{\:to\:both\:sides}[/tex]

[tex]x^2-4x+\left(-2\right)^2=-5+\left(-2\right)^2[/tex]

[tex]\left(x-2\right)^2=-1[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solving

[tex]x-2=\sqrt{-1}[/tex]

As the imaginary rule is given by

[tex]\:\sqrt{-1}=i[/tex]

so

[tex]x-2=i[/tex]

[tex]x=i+2[/tex]

solving

[tex]x-2=-\sqrt{-1}[/tex]

[tex]x-2=-i[/tex]      ∵ [tex]\:\sqrt{-1}=i[/tex]

[tex]x=-i+2[/tex]

Therefore, the solutions to the quadratic equation are:

[tex]x=i+2,\:x=-i+2[/tex]

A total of 625 tickets were sold for the school play. They were either adult tickets or student tickets. There were 75 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

75 less student tickets than adult tickets. The total is 625 tickets. So the student and adult tickets have to equal 625 when added.

Step-by-step explanation:

Student tickets: 275

Adult tickets: 350

350 adult tickets were sold

Which equation can be used to find 40 percent of 25?
25+ 1 25
401 40
100x4 400
40x4 16
40x4 180
25%4 100
404
100_4 25

Answers

Answer:

Yo tengo 10 años y eso da 1,190

Step-by-step explanation:

Which of the following steps will speed up the reaction between a baking soda solution and a calcium chloride solution in a beaker?

Keep the beaker in a freezer.
Keep the beaker in sunlight.
Pour the solutions into a flat dish.
Pour the solutions into a narrow test tube.

Answers

im not too sure about this so take my answer lightly but i think it is put the beaker in sunlight

Answer: Indeed It is b

Step-by-step explanation:

What is the slope of the line that contains the points (-2, 2) and (3, 4)?
A.
O B. -
O c.
OD.

Answers

Answer:  m = 2/5

Step-by-step explanation:

The formula for the slope is m = rise over run = y^2 - y^1 / x^2 - x^2

which makes it 4-2 over 3-(-2) which equals 2/5

Youre answer is 2/5

Answer:

The slope of the line that contains the points (-2, 2) and (3, 4) is 2/5.

Step-by-step explanation:

The slope of a line is denoted by m and is calculated using the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here

[tex](x_1,y_1)[/tex] are the coordinates of the first point on line and

[tex](x_2,y_2)[/tex] are the coordinates of the second point on line

Given two points are:

(x1,y1) = (-2, 2)

(x2,y2) =(3, 4)

Putting the values in the formula

[tex]m = \frac{4-2}{3-(-2)}\\m = \frac{2}{3+2}\\m=\frac{2}{5}[/tex]

Hence,

The slope of the line that contains the points (-2, 2) and (3, 4) is 2/5.

Which statement describes the​ y-intercept of the graph of a proportional​ relationship?
Choose the correct answer below.
A.
The line intersects the​ y-axis of the graph above the origin.
B.
The line intersects the​ y-axis of the graph at the origin.
C.
It is greater than the​ x-intercept of the line.
D.
It is equal to the​ x-intercept of the line.

Answers

Answer:

B i worked out all of them and only b can fit

The line intersects the​ y-axis of the graph at the origin. The correct option is B.

What is a Proportional Relationship?

A proportional Relationship is when a variable is in direct variation to another variable such that on increasing one the other proportionally increases.

The equation for a proportional relationship is

y ∝  x

y =kx

where k is the proportionality constant

The equation of a straight line is y = mx +c

here c is the intercept on the y-axis

Comparing the two equations, this can be confirmed that

c = 0

Therefore, the line intersects the​ y-axis of the graph at the origin.

The correct option is B.

To know more about Proportional Relationship

https://brainly.com/question/12917806

#SPJ2

Rhombus EFGH is rotated 90 degrees counterclockwise about vertex G. How many pairs of parallel sides does the rotated figure have?

Please explain your answer.... Thank you!

A) 0

B) 1

C)2

D) 4

Answers

Answer:

try your self more and more times you can easily solve

Elijah needs to lease out a music studio to record his new album the studio charges and initial studio-use fee plus an hourly fee for each hours in the studio let P represent the total amount of money Elijah would have to pay to use the studio four t hours A graph of P is shown below write an equation for P then state the Y intercept of the graph and determine its interpretation in the context of the problem

Answers

Answer:

100+50t

Step-by-step explanation:

Answer:

P = 100+50t

The y-intercept of the function is 100 which represents the initial fee of using the studio.

which ordered pair is a solution of the equation: 2y=7x-3
only 2,4
only 3,9
both 2,4 and 3,9
neither

Answers

Answer:

It is only 3,9.

Step-by-step explanation:

You need to substitute each pair into the equation to find if both side have the same answer, 3,9 is the correct answer because both sides are equal:

2(9) = 7(3)-3

18= 18

The answer is (3,9).

I hope this helps!

5. Choose the equation of a line that is perpendicular to the given line and that passes through the given
point.


4x - 12y = 2; (10,-1)

A.) y=3x + 29
B.) y=--x+29
3
C.) y=-3x + 29
D.) y=--x+7

Answers

Answer:

Step-by-step explanation:oh

Answer: C) -3x + 29. Explanation: First, you want to start by putting the given equation in point-slope form. Point slope form: y = mx + b. The equation: y = 1/3x - 1/6. From this, you know that the slope is 1/3. You need to find a line perpendicular to the equation, so find the opposite-reciprocal slope. Flip the slope fraction and make it negative: -3/1. Plug the point into an equation with this slope to find the y-intercept. -1 = -3(10) + b ; 29 = b. Plug the y-intercept, as well as the slope, back into the equation to get your answer: y = -3x + 29.

What is the length of the radius of a circle with center (10, -14) that is tangent to the line
x=13?

Answers

Answer:

length of radius of a circle = 3

Step-by-step explanation:

a tangent line touches the circle at one point

if the tangent line is at x=13 (vertical line) and the center of the circle is

(x,y) = (10,-14) with its center x at 10; then take the difference to find the radius;

x(tangent line) - x(center of circle) = radius of circle

length of radius of a circle = 13-10 = 3

you can also graph the circle and draw the tangent line to find the radius

The length of the radius of a circle as described in the question is; 14.32

The center of the circle is at; (10, -14)

The line that is tangent to the circle is; x = 13.

The coordinate of a point on the line is therefore; (13, 0)

The length of the radius of the circle can.be obtained from Pythagoras theorem as;

(Radius)² = (13-10)² + (-14-0)²

(Radius)² = (3)² + (-14)²

(Radius)² = 9 + 196

Radius = √205

Radius = 14.32

Read more:

https://brainly.com/question/10443107

A baseball team had $250 to spend on supplies. The team spent $46.25 on a new bat. New baseballs cost $2 each. The inequality46.25+2b≤250 can be used to determine the number of new baseballs, b, that the team can purchase.

Answers

Answer: 101

[tex]\leq 46,25+2b\leq 250\\\\=> 2b\leq 250-46,25=203,75\\\\<=> b\leq 203,75/2=101,876[/tex]

but b is the number of new baseballs

=> [tex]b\leq 101[/tex]

=> the team can purchase 101 baseballs

Step-by-step explanation:

For the function below, (a) find the vertex; (b) find the axis of symmetry; (c) determine whether there is a maximum or a
minimum value and find that value; and (d) graph the function.
f(x) = -x2 - 6x-4

Answers

Answer:

Step-by-step explanation:

f(x) = ax² + bx + c

"x" coordinate of vertex is ( - [tex]\frac{b}{2a}[/tex] )

axis of symmetry is x = - [tex]\frac{b}{2a}[/tex]

If a > 0 the function opens upward and has minimum value.

If a < 0 the function opens downward and has maximum value.

f(x) = - x² - 6x - 4

(a). x = - [tex]\frac{-6}{-2}[/tex] = - 3 ; y = - (- 3)² - 6( - 3) - 4 = 5

Coordinates of vertex are (- 3, 5)

(b). The axis of symmetry is x = - 3

(c). The given function opens downward

y = 5 is a maximum of a given function.

6,857 my lessons my stuf The Pythagorean Theorem What is the distance between the points (22,21) and (26,24)?​

Answers

Answer:

the distant between 20,21 is 1. and the distant between 26,24 is 2.

Step-by-step explanation:

1. 21-20=1

2. 26-24=2

hope this helps

What is the slope of the line below?

Answers

Answer:

The answer is the green answer choice which is 5/7.

Step-by-step explanation:

Frank marry and seth shared some sweets in the ratio 4:5:7 seth got 18 more sweets than frank work out the total number of sweets shared(pleez answer im in a crisis) ​

Answers

Answer: 96

seth got 18 more than frank

in terms of ratio he got 3 more than frank

this means that 3 is equal to 18

so we find the whole ratio to fing the total

NEED HELP PLEASE!!! Lionel created a scatter plot and drew a line of best fit, as shown.
What is the equation of the line of best fit that Lionel drew?

Answers

Answer: A.

Y=-2x+16

Step-by-step explanation:

You gotta find the pretty points on the line of the linear function. Then you have to find the slope (rise over run) with those pretty points. Then you have to use a coordinate (I used 6,4) to find the y intercept. Then you solve the equation, by plugging in all the numbers :) hope this helps.

Evaluate the algebraic expression for v= 1 and r = 7
6r - |-8+v|

Answers

Answer:

41

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| - a | = | a | = a

Given

6r - | - 8 + v | ← substitute v = 1 and r = 7 into the expression

= 6(7) - | - 8 + 1 |

= 42 - | - 1 |

= 42 - 1

= 41

of the 24 students in Michelle's homeroom, of them rode the bus to school. How many
students in Michelle's homeroom rode the bus to school?

Answers

12 becaus math sucks

To factor 9x^2- 4, you can first rewrite the expression as:
O A. (3x-2)^2
O B. (x)^2-(2)^2
C. (3x)^2-(2)^2
D. None of the above

Answers

Answer:

D

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

What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)? (5 points) a y = −3x − 2 b y = −3x + 2 c y = 3x + 2 d y = 3x − 2

Answers

Answer:

d

Step-by-step explanation:

Roberto has run the first 16 miles of a race, which means he is 72% finished. How long is the race?

Answers

Answer:

approximately 22.2 miles

Step-by-step explanation:

16mi/72% =xmi/100%

72x=1600

x=22.2222222.....

Answer: 22.2 miles

Step-by-step explanation:

Based on the results of the simulation, if Sally's name is represented by diamonds, what is the probability that Sally will win
the free homework pass?
A.52%
B. 24%
C. 8%
D.16%

Answers

Answer:

Step-by-step explanation:

If she's represented by diamonds, then that's 2/25 which is 8%, C

Answer:

Step-by-step explanation:

8%

What’s the area for this shape??????

Answers

Answer:

40cm²

Step-by-step explanation:

The formula of a trapezium is: A=1/2(a+b)h

The values are: a=6, b=10 and h=5

Therefore, to calculate the area: A=1/2(6+10)5

Hence, the area of the trapezium is A=40cm²

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