A car's velocity is modeled by V(t)=0.5t^2 -8t +24 ,where the velocity is in feet per second and time is in seconds. When does the car come to a complete stop
12 seconds
8 seconds
4 seconds
2 seconds

Answers

Answer 1

The velocity of the car is the rate of change of distance over time.

The car comes to a complete stop at 12 seconds

The velocity function is given as:

[tex]\mathbf{V(t) = 0.5t^2 - 8t + 24}[/tex]

When the car comes to a complete stop, V(t) = 0.

So, we have:

[tex]\mathbf{0.5t^2 - 8t + 24 = 0}[/tex]

Expand

[tex]\mathbf{0.5t^2 - 6t - 2t + 24 = 0}[/tex]

Factorize

[tex]\mathbf{0.5t(t - 12) - 2(t - 12) = 0}[/tex]

Factor out t - 12

[tex]\mathbf{(0.5t - 2)(t - 12) = 0}[/tex]

Split

[tex]\mathbf{(0.5t - 2) =0\ or\ (t - 12) = 0}[/tex]

Solve for t

[tex]\mathbf{0.5t =2\ or\ t = 12}[/tex]

This gives

[tex]\mathbf{t =4\ or\ t = 12}[/tex]

12 > 4.

Hence, the car comes to a complete stop at 12 seconds

Read more about velocity and time at:

https://brainly.com/question/19979064


Related Questions

If a 12-foot-tall object casts a 9-foot shadow, how long a shadow would a 4-foot-tall object cast at the same time and place

Answers

Answer:

I think it is 3 feet

Step-by-step explanation:

12:9 is equal to 4:3

4:? should also be equal to 4:3, so ?=3

Hope this helps

let me know if it does and if it is right

Which ordered pairs are on the line with the equation y+3.5=0.75(x−2)? Select each correct answer. A. ​(4, −2)​ ​B. (1, 1.75)​ C. ​(7, 5.5)​ ​D. (−4, −8)

Answers

Answer:

A

Step-by-step explanation:

Answer: 4, -2

Step-by-step explanation: I just visualized the graph in my head and went from there

Find x. Isosceles triangle theorems.

Answers

Answer:

x = 70°

Step-by-step explanation:

If two sides of a triangle are congruent, then angles opposite those sides are congruent.

the sum of the interior angles in a triangle is 180°

(180 - 40) : 2 =

70

x = 70°

----------------------------

check

70 + 70 + 40 = 180°

the answer is good

After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.

Part B
Write an equation representing how much Tristan paid.

Part C
Write an equation representing how much Keith paid.
Part E
Solve the system you found in Part D. Did you use elimination or substitution? What was the entry fee, and how much did each ticket cost?


Part F
What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?

Answers

Answer:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

PLEASE MARK ME AS BRAINLIEST AS IT WILL HELP ME IN ACHIEVING NEXT LEVEL.

THNX IN ADVANCE

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

onique bought 2 hot dogs and 1 large soda. She spent $7. Scott
bought 4 hot dogs and 1 large soda. He spent a total of $12.
What is the cost of one hot dog and one large soda?

Answers

Hot dogs are $2.50 and drinks are $2.00

A line that includes the points ( – 4, – 6) and (5,v) has a slope of – 2/9 . What is the value of v?

Answers

Answer:

v is -8

Step-by-step explanation:

The form of a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We are given the slope, so let's write:

  y = -(2/9)x + b

We can find b by using the one fully given point, (-4, -6).

y = -(2/9)x + b

-6 = -(2/9)(-4) + b

b = -6 - (8/9)

b = -(62/9)

Now we have   y = -(2/9)x - (62/9)

We want the value of y when x is 5 to find v in (5,v):

y = -(2/9)x - (62/9)

y = -(2/9)(5) - (62/9)

y = -(10/9) - (62/9)

y = -(72/9)

y = -8

v is -8

hidden valley motel 32 feet long

Answers

Did you forget to put in the rest of the question?

please help me with this 2

Answers

6 1/8 is the answer….. I believe this is similar to your other question. In order to find the answer you need to multiply 4 units x 2 1/8
It’s like measuring but using a small rule unit hope it helped

show that 296 not not a perfect number​

Answers

Step-by-step explanation:

in which the sum of all it's factor are twice of that no... factor of 296 =1,2,4,8,37........

2x+5+2x+3x in One sloution, and no solution.

Answers

[tex]2x + 5 + 2x + 3x \\ = 7x + 5[/tex]

- BRAINLIEST answerer

Seven times the sum of a number and three is equal to four times the number, decreased by eight. If X represents the number, which equation is correct

A- 7(X + 3) = 4X - 8
B- 7(X + 3) = 4(X - 8)
C- 7X + 3 = 4X - 8

Answers

Answer:

A. 4(x + 3) = 4x - 8.

Step-by-step explanation:

Comepare and order the following numbers from least to greatest. 5.2 -5.666 3.9 ✔️21

Answers

Answer: 1st -5.666 2nd 3.9 3rd 5.2 4th21

Step-by-step explanation:

you don't have to worry about the .9 and .2 in 3.9 and 5.2 just look at it as 3 and 5. 5 is greater so it comes first and 21 is the greatest and -5.666 is negative so -5.666 is the least

Find the inverse function in slope-intercept form (mx+b):
f(x) = -x - 5

Answers

Answer:

In order to find the inverse of a function, we flip it over the line y=x, or we switch the x and y values in the equation and solve it for y. So let's do the latter:

m(x) = 5x - 5

y = 5x - 5

x = 5y - 5

5y = x + 5

y = (x + 5)/5

Step-by-step explanation:

hope this is helpful

Answer: f ^−1(x)=x+5

The selling price of an item is $550 it’s marked down by 20% but the sale price is still marked up from the cost of $400 find the markup from cost to sale price

Answers

The answer is $40

Solution: from the given information we can know the selling price now is $550(1-20%)= so the markup from cost to sale price is 440=40

There are 50 sheets of scrapbook paper in a pack, and 20% of them are striped. How many sheets of scrapbook paper are striped? Pick the model that represents the problem. How many sheets of scrapbook paper are striped?

Answers

Answer:

10 sheets of paper are striped

Step-by-step explanation: Make a proportional relationship.

20% as a fraction is 20/100

Make 50 into a fraction using a variable. For example, x/50

Cross multiply 20 and 50. That equals 1000.

Then divide 1000 by 100 and that equals 10. So 10 sheets of paper are striped.

Hope this helps!

what would the answer be

Answers

Answer:

60

Step-by-step explanation:

Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.

Answers

The answer will be 15 because of the way it looks

Answer:

15

Step-by-step explanation:

Determine the corresponding general form of each of the following vertex form

1. y = (x– 1)2

A. y = x2+ x + 1
B. y = x2 – 2x – 1
C. y = x2 – 2x + 1

2. y = (x + 4)2– 5

A. y = x2+ 8x – 11
B. y = x2+ 8x – 21
C. y = x2+ 8x + 21

3. y = -(x + 9)2– 10

A. y = -x2– 18x + 91
B. y = -x2– 18x – 91
C. y = -x2– 18x – 71

4. y = 3(x + 2)2– 18

A. y = 3x2+ 12x – 6
B. y = 3x2+ 12x + 6
C. y = 3x2+ 12x – 14

5. y = -2(x + 1)2– 16

A. y = -2x2– 4x – 18
B. y = -2x2– 4x – 2
C. y = -2x2– 4x – 14

6. y = 5(x + 5)2

A. y = 5x2+ 50x + 125
B. y = 5x2+ 50x + 25
C. y = 5x2+ 25x + 125

7. y =1/2(x + 8)2– 8

A. y = 1/2x2 + 8x + 24
B. y= 1/2x + 8x – 40
C. y = 1/2x2 + 16x + 24

8. y = (x + 3/2)2 + 3/4

A. y = x2+ 3x + 2
B. y = x2 + 6/4x + 12/16
C. y = x2 + 3x + 3

9. y = 2(x + 8)2– 5x

A. y = 2x2 + 32x + 59
B. y = 2x2 + 27x + 128
C. y = 2x2+ 37x + 64

10. y = -5(x – 4)2+ 15
A. y = -5x2+ 40x – 65
B. y = -5x2 – 40x – 65
C. y = -5x2+ 40x + 65​​

Answers

Answer:

Step-by-step explanation:

(a + b)² =a² + 2ab + b²

(a -b)² = a² - 2ab + b²

1) y = (x -1)²

 y= x² -  2*x*1 + 1

y = x² - 2x + 1    

Ans: C

2)y = (x +4)² + 5

y = x² +2*x*4 + 4² + 5

  = x² + 8x + 16 + 5

y = x² + 8x + 21

C

3) y = -(x + 9)²- 10

y = - [x² + 18x + 81] - 10

= -x² - 18x - 81 - 10

y =-x² - 18x - 91

B

4) y = 3(x + 2)² - 18

y =3 [x² + 4x + 4] - 18

y =  3x² + 12x  + 12 - 18

y =3x²  + 12x - 6

A

5) y = -2(x + 1)² - 16

       = -2[x² + 2x + 1] -16

       = -2x² - 4x - 2 - 16

     y = -2x² - 4x -  18

A

6) y = 5(x + 5)²

        =5[x²+ 10x + 25]

y = 5x² +50x + 125

A

7)y = (1/2)(x + 8)² - 8

  y = (1/2) (x² + 16x + 64) - 8

[tex]y = \dfrac{1}{2}*x^{2}+ \dfrac{1}{2}*16x + \dfrac{1}{2}*64 -8\\\\\\y =\dfrac{1}{2}x^{2}+8x +32 - 8\\\\\\y=\dfrac{1}{2}x^{2} +8x + 24[/tex]

A

8) y = (x + 3/2)² + 3/4

[tex]y = x^{2} +2*x*\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\y=x^{2}+3x+\dfrac{12}{4}\\\\\\y=x^{2}+3x + 3[/tex]

C

9) y = 2[x² + 16x + 64] - 5x

y = 2x² + 32x + 64 - 5x

y =2x² + 27x + 6

What is the
leasure of Z?
x
У
4.
9
Z=
=
= [?]V
Give your answer in simplest form.

Answers

Answer:

  z = 3√13

Step-by-step explanation:

The length of z is the geometric mean of the segments of the longest side that share a common point with z. The shorter of those is 9; the longer one is 4+9 = 13. Then ...

  z = √(9(13))

  z = 3√13

__

Additional comment

In like fashion, ...

x = √(4(13)) = 2√13y = √(4·9) = 6.

__

These relations come about because all of these right triangles are similar. That means their side lengths are proportional.

  long side/hypotenuse = z/13 = 9/z   ⇒   z = √(9·13)

  short side/hypotenuse = x/13 = 4/x   ⇒   x = √(4·13)

  short side/long side = 4/y = y/9   ⇒   y = √(4·9)

easy one - giving brainly if correct - show work.
my teacher said this was wrong so what's the correct answer? answer both!​

Answers

Answer:

a = 9.6 b = 11.2

Step-by-step explanation:

10 percent of 8 is .8

8 + (8 x .1) = 8.8

8.8 + .8 = 9.6

She will be paid 9.6 dollars after 1 full year of working, because working for one year is 12 months, and thats 10 percent of 8 twice. You can also put that as 20 percent of 8, aka 1.6

When you do 8+1.6 it equals 9.6

For the second part, that is 24 months, so 10 percent of 8 4 times. .8+.8+.8+.8 = 3.2

8+3.2 = 11.2

She will be paid 11.2 dollars after 2 full years of working.

Your answer isnt wrong, I dont know why your teacher is saying it is.

FOR
Equatus
Solve THIS systim of
4x + 5y = 8
= 8
+
4x = 6-5y

Answers

Answer:

no solutions

Step-by-step explanation:

4x+5y=8

-4x+5y=6

0=2

no solutions

STRUCTURE Gustavo sets up tables for a caterer on weekends. Each round table can seat 8 people. Each rectangular table can seat 10 people. One weekend, his boss asked him to set up tables for 124 people. He uses 2 more round tables than rectangular tables. Write a system of equations to find the number of round tables and rectangular tables Gustavo used. Then graph the system on a separate sheet of paper to solve the system.

Answers

Gustavo used 8 round tables and 6 rectangular tables.

Since Gustavo sets up tables for a caterer on weekends, and each round table can seat 8 people while each rectangular table can seat 10 people, and one weekend, his boss asked him to set up tables for 124 people, and he uses 2 more round tables than rectangular tables, to find the number of round tables and rectangular tables Gustavo used the following calculation must be performed:

10 x 8 + 8 x 10 = 160 8 x 8 + 6 x 10 = 124

Therefore, Gustavo used 8 round tables and 6 rectangular tables.

Learn more in https://brainly.com/question/25443927

easy will give brainlest no files.

Answers

Answer:

can u give better picture

Answer:

Remain the same.

Step-by-step explanation:

When you are translating a figure, nothing changes expect for its location. It's shape and orientation stay the same. Hope this helped, and please let me know if you have any further questions. :)

What is the final amount if 2024 is increased by 17% followed by a 15% decrease? Give your answer rounded to 2 DP.

Answers

Answer:

2059.20

Step-by-step explanation:

2024 increased by 17% is

2024 * 1.17 = 2368.08

2368.08 reduced by 15% is

2368.08 ÷ 1.15 = 2059.20

If x=4 then 2(x-4) equals

Answers

First, since we know the value of x, we can plug that into the equation: 2(4-4)
Now, according to PEMDAS, solve inside the parentheses first: 2(0)
Lastly, we can multiply: 2 x 0 = 0

Answer:

0

Step-by-step explanation:

Need to plug in the x to the 4 then u get 2(4-4)

After that it will equal to 0 the 4-4

2(0)=0

Evaluate the formula χ2=
(n−1)s2
σ2 when σ=1.61​, n=39​, and s=3.79.

Answers

Answer:  210.577

Work Shown:

[tex]\chi^2 = \frac{(n-1)s^2}{\sigma^2}\\\\\chi^2 = \frac{(39-1)(3.79)^2}{(1.61)^2}\\\\\chi^2 = \frac{38*14.3641}{2.5921}\\\\\chi^2 = \frac{545.8358}{2.5921}\\\\\chi^2 \approx 210.57667528259\\\\\chi^2 \approx 210.577\\\\[/tex]

Plsss some one help with this

Answers

Answer:

the answer is c and the entire equation means that the tickets each cost $15 and the service fee is $12

PLEASE HELP
Find the current value of a car bought for new at $18300 which depreciates at 8% per annum over 4 years

Answers

Answer:

12, 444

Step-by-step explanation:

•First find out what is 8% of 18300

=8\100 ×18300\1 = 146400\100 =1464. [\ means ÷]

• Next multiply 1464 by 4 years =5,856

•Finally calculate 18300- 5856 = 12,444 (we are saying 18300 - 5856 because the money

decreased & 5856 represnt 8% of 18300 in 4 years)

Note :

~ Appreciation is when money increases

~Deperciation is when money decreases

Hope this helps !!!

pls answer. and show your solution.​

Answers

Answer:

23, - 46, 57, 10, 12

Step-by-step explanation:

(a)

2x + 5 = 2(9) + 5 = 18 + 5 = 23

(b)

4x - 2 = 4(- 11) - 2 = - 44 - 2 = - 46

(c)

x² + 21 = (- 6)² + 21 = 36 + 21 = 57

(d)

[tex]\sqrt{x}[/tex] - 1 = [tex]\sqrt{121}[/tex] - 1 = 11 - 1 = 10

(e)

[tex]\frac{x}{8}[/tex] + [tex]\sqrt[3]{x}[/tex] = [tex]\frac{64}{8}[/tex] + [tex]\sqrt[3]{64}[/tex] = 8 + 4 = 12

The line given by y=2x+1,and the circle given by (x+1)^2+y^2=1 are graphed.

Answers

Answer:hhfff

Step-by-step explanation:

The required solutions to the line intersecting the circle at the points are x = -1, y = -1, and x = -0.2; y =0.6.

What is the equation of a circle?

The equation of a circle with center (h,k) and radius r is :

r² = (x−h)² + (y−k)²

The graph correctly defines one solution.

The straight line intersects the circle at point A in the third quadrant.

The coordinates of point A are (-1,-1).

Hence, the solution is: x = -1,and  y = -1

(x+1)² + y² = 1 and y=2x+1

Solving for 'x'

(x+1)² + (2x+1)= 1

x²+1+2x + 4x² + 1 + 4x =1

5x² + 6x + 1 = 0

(x+1/5)(x+1) = 0

(x+1/5) = 0 and (x+1) = 0

x = -1/5 and x = -1

For x = -1

y = 2(-1) +1 = -2+1 = -1

For x = -1/5

y = 2(-1/5) +1 = -2/5 + 1 = 3/5

Hence, the solution is : x = -0.2 and y =0.6

Learn more about the equation of a circle here:

brainly.com/question/1554214

#SPJ2

The question seems to be incomplete the missing part has been attached below

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