The velocity of a car increases from 4 m/s at 2 sec. To 32 m/s at 9 sec. What is the car's average acceleration?

Answers

Answer 1

Answer:

Acceleration, [tex]a=4\ m/s^2[/tex]

Step-by-step explanation:

Given that,

Initial speed = 4 m/s at 2 seconds

Final speed = 32 m/s at 9 seconds

We need to find car's average acceleration. We know that average acceleration is equal to the change in speed divided by the change in time. So,

[tex]a=\dfrac{v_2-v_1}{t_2-t_1}\\\\=\dfrac{32-4}{9-2}\\\\=\dfrac{28}{7}\\\\=4\ m/s^2[/tex]

So, the car's average acceleration is equal to [tex]4\ m/s^2[/tex].


Related Questions

A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 3 feet in length. How many 9-inch pieces can the dressmaker cut from 5 of these rolls of ribbon? Before you try that problem, answer the question below. How many \textbf{inches}inches of ribbon does the dressmaker have, in total?

Answers

Answer: 20

Step-by-step explanation:

First and foremost, we should know that: 12 inches = 1 foot. Therefore converting 3 feet to inches will be:

= 3 × 12 = 36 inches.

Therefore, if a dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 3 feet in length. The number of pieces will be:

= 3 feet / 9 inch

= 36 inches / 9 inches

= 4 pieces

Then, the number of 9-inch pieces that the dressmaker can cut from 5 of these rolls of ribbon will be:

= 4 × 5

= 20 pieces

ayoo could someone please help me with my math?? multiple selection answer:)
Which of the following options represents an equation that can be used to solve for the missing side of a right triangle? Select all that apply.

Answers

Answer:

choice 1) a^2+b^2 = C^2

and

choice5) c = sq rt(a^2+b^2)

PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!! PLEASE HELP ASAP!!!

Answers

Answer:

Step-by-step explanation:

T = $3b

Larry wants to purchase birthday gifts for his twin sisters. One sister likes daises which costs $2.00 per stem and the other likes tulips which costs $3.00 per stem. Which inequality could he use to determine how many of each flower he could buy if he only has $35.00 to spend? Let x represent the number of daisies and y the number of tulips. Group of answer choices

Answers

Answer: 2x + 3y = 35

Step-by-step explanation:

Let x = number of daisies

Let y = number of tulips

Since one sister likes daises which costs $2.00 per stem and the other likes tulips which costs $3.00 per stem, the inequality that could be use to determine how many of each flower he could buy if he only has $35.00 to spend will be:

2x + 3y = 35

What is the length of QR

Answers

Answer:

8

Step-by-step explanation:

Set 3n-1=5n-7.

Solve.

n=3.

Plug in 3 to 5n-7.

QR=8

Answer:

QR=8

Step-by-step explanation:

so using the fact that the two triangles are congruent, we can determine:

5n-7=3n-1

5n-6=3n

2n-6=0

n=3

so we replace all n in 5n-7 with three

5x3-7

15-7

8

Company cuz closed at $52.93 per share with a P/E ratio of 15.17 how much were earnings per share

Answers

Answer: $3.49

Step-by-step explanation:

Earnings per share shows how much of the profit of the company every share will get.

You can use it to calcutae the P/E ratio through the following formula:

P/E ratio = Share price / Earnings per share

15.17 = 52.93 / EPS

EPS * 15.17 = 52.93

EPS = 52.93 / 15.17

= $3.49

please help me tysm!
Stan has read 90% of his book. If his book is 360 pages long, which is the best estimate of how many pages he still has to read?

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Keith is 5 years older than Trina. Two times the sum of their ages is 62. Write and solve an equation to find Keith’s age.

Answers

Answer:

Trina is 13

Kieth is 18

Step-by-step explanation:

x + 5 = Kieth's age

Divide by 2 to separate the ages:

62 ÷ 2 = 31

Subtract the difference in ages:

31 - 5 = 26

Add the 5 years to Kieth's age:

31 + 5 = 36

Divide by 2 again, to eliminate the twice of their ages

26 ÷ 2 = 13

36 ÷ 2 = 18

Trina is 13

Kieth is 18

This is what i got. Sorry if i'm wrong, lmk if i am!

Hope this helps! Brainliest if i'm correct!?

. Which statement about the
function y=-3x – 2 is true?
A. As the value of x increases, the value of y increases.
B. As the value of x decreases, the
value of y stays the same.
C. As the value of x increases, the value of y decreases.
D. As the value of x decreases, the value of y decreases.

Answers

Answer:

C. As the value of x increases, the value of y decreases.

Step-by-step explanation:

The slope is -3. Negative slope means:

   As y increases, x decreases.

Therefore:

   As y decreases, x increases.

What is the area of the trapezoid? [A = 5(61 + b2)h]
202 ]

A) 1249.5 sq cm
B) 162.75 sq cm
C) 105 sq cm
D) 38.75 sq cm

Answers

Answer:

A = 105 cm²

Step-by-step explanation:

The area (A) of the trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] [ (b₁ + b₂)h ]

where h is the height and b₁, b₂ the parallel bases

Here h = 5 , b₁ = 24 and b₂ = 18 , then

A = [tex]\frac{1}{2}[/tex] [ (24 + 18)5 ]

   = [tex]\frac{1}{2}[/tex] (42 × 5)

   = [tex]\frac{1}{2}[/tex] × 210

   = 105 cm²

A scale drawing of a house shows 9cm x10cm. If
6cm=12 ft, what are the actual dimensions?

Answers

Answer:

18ft x 20ft

Step-by-step explanation:

(I'm kinda in a rush so I can't explain right now, sorry!)

Hope that helped though :)

The actual dimensions of the house is 18 feet by 20 feet.

Scaling is used to either increase or decrease the size of a figure to create an image.

Given that a scale of 6cm to represent 12 ft. Hence:

9 cm = 9 cm * (12 ft. per 6 cm) = 18 feet.

10 cm = 10 cm * (12 ft. per 6 cm) = 20 feet.

The actual dimensions of the house is 18 feet by 20 feet.

Find out more on scaling at: https://brainly.com/question/25324744

3x-12y=216 solve for y fully reduced​

Answers

3x-12y=216

-3x. -3x

-12y=216-3x

÷-12. ÷-12

Y= -18+1/4x

I think

9t + 21t - 8
It needs to be factored

Answers


I think this is the answer 2(15t−4)
I think it is 30t-8
But I don’t think I did it right

The hypotenuse of a right triangle is 10 ft long the longer end is 2 ft longer than the shorter leg. Find the side lengths of the triangle

Answers

Answer:

The sidelength of the triangles is 6 feet and 8 feet.

Step-by-step explanation:

Given that,

The Hypotenuse of a right triangle = 10 feet

Let the shorter leg is x. It means the longer leg is (x+2).

For a right triangle,

Hypotenuse²=base²+perpendicular²

So,

[tex]10^2=x^2+(x+2)^2\\\\100=x^2+x^2+4+4x\\\\100=2x^2+4x+4\\\\2x^2+4x+4-100=0\\\\2x^2+4x-96=0\\\\x^2+2x-48=0\\\\(x+8)(x-6)=\\\\x=-8,6[/tex]

The side length of a triangle can't be negative. It means that the length of the shorter length is 6 feet and that of the longer leg be 8 feet.

Answer: -8 6

Step-by-step explanation:

A store offers 20% off all items. Let x represent the original purchase price.

Answers

Answer:

what are we soposed to do?

Step-by-step explanation:

The coordinates of the vertices of a triangle are G(-4,2), O(5,-1), and T(10,8).

What is the length of the segment joining the midpoint of GT and O?​

Answers

Answer:

6.33

Step-by-step explanation:

Given the coordinates;

G(-4,2), O(5,-1), and T(10,8).

Midpoint of GT is expressed as;

M = (-4+10/2, 2+8/2)

M = (6/2, 10/2)

M = (3, 5)

Hence the midpoint of GT is (3,5)

Find the length of M and O

M (3,5) and O(5,-1)

MO = √(3-5)²+(5+1)²

MO = √2²+6²

MO = √4+36

MO = √40

MO  = 6.33

Hence the length of the segment joining the midpoint of GT and O is 6.33

The  length of the segment joining the midpoint of GT and O is 6.33.

The calculation is as follows;

Midpoint of GT is expressed as;

[tex]M = (-4+10\div 2, 2+8\div 2)\\\\ = (6\div 2, 10\div 2)[/tex]

 = (3, 5)

Hence the midpoint of GT is (3,5)

Find the length of M and O

M (3,5) and O(5,-1)

[tex]MO = \sqrt (3-5)^2+(5+1)^2\\\\= \sqrt(2^2+6^2)\\\\= \sqrt 4+36\\\\= \sqrt 40[/tex]  

= 6.33

Learn more: brainly.com/question/16911495

Write the equation of the line perpendicular to y = 6/5x + 4/5 that passes through the point (-3,2).

Answers

Answer:

The equation of the perpendicular line of the given line is

 [tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]

Step-by-step explanation:

Step(i):-

Given the equation of the line

         [tex]y = \frac{6}{5} x + \frac{4}{5}[/tex]

cross-multiplication, we get

       5y = 6x +4

The equation of the straight line is 6x - 5y +4=0

The equation of the perpendicular line to the given line is

                        b x - ay +k=0

The equation of the perpendicular line to the given line is   -5x-6y +k=0

This line passes through the point (-3,2)

    ⇒       - 5(-3) -6(2)+k=0

     ⇒       15 -12 +k=0

     ⇒              3 +k=0

       ⇒              k =-3

Step(ii):-

The equation of the perpendicular line is

                                  -5x-6y-3=0

                                  5x + 6y +3 =0

                                        6y = -5x-3

                                          [tex]y = \frac{-5}{6} x -\frac{3}{6}[/tex]

Final answer:-

The equation of the perpendicular line of the given line is

 [tex]y = \frac{-5}{6} x -\frac{1}{2}[/tex]

2xy +1 = 1
solve for x

Answers

Answer:

the answer of this question is 0

A. First, convert this equation into y-intercept form

y = 2x + 1

B. 2 is the slope: 1 is the y-intercept

Then, plug in 1 for y and solve

C. 1 = 2x + 1

Therefore, x is 0

Can someone help pls? With working out if possible :)

Answers

Answer:

x=7/2

Step-by-step explanation:

first, multiply 3/4 and 5/8 into the () to get rid of them.

3/4x -3/4 = 5/4x -5/2

next, combine like terms

5/4x -3/4x = -3/4 +5/2

1/2x = -3/4 +10/4 = 7/4

divide both sides by 1/2

x= 7/2

What’s the answer?!?!?

Answers

Answer:

24 inches

Step-by-step explanation:

You can see in the picture a triangle is formed where the sides are AB, BC, and AC.

The side lengths you have are AC = 16 and BC = 20.

You can use the Pythagorean Theorem, [tex]a^2+b^2=c^2[/tex], so:

[tex]16^2+b^2=20^2[/tex]

[tex]256+b^2=400\\b^2=144\\b=12[/tex]

This means that the length of AB = 12.

It's asking the diameter, and AB is the radius, so you have to do 12 * 2 to find the diameter = 24 inches

Which of the following expressions could be used to find the perimeter of this figure?



P = 4(18 mm) + 2(24 mm)
P = 18 mm + 24 mm
P = 2(18 mm) + 4(24 mm)
P = (18 mm)(24 mm)

Answers

Answer:

A

Step-by-step explanation:

four of the sides are equal to 18mm, so that would be the 4(18mm), and then the two other sides are equal to 24mm, which is 2(24mm). Your full equation would be:

P= 4(18mm) + 2(24mm)

A

Answer:

P = 4(18 mm) + 2(24 mm)

Step-by-step explanation:

All formula of Trignometric Identities​

Answers

[tex] \huge \purple{\tt{Answer:}} [/tex]

Trigonometric identities and relations

I'm confused on this ​

Answers

Answer:

y= -2/3x +4

Step-by-step explanation:

(0,4) and (6,0)

m= (y2-y1)/(x2-x1)

m= (0-4)/(6-0)

m= -2/3

y-y1=m(x-x1)

y-4= -2/3(x-0)

y-4= -2/3x

y= -2/3x +4

Answer:

D

Step-by-step explanation:

Almost positive it's D. When you take two points on the line, you'll get a slope of 2/3. Since it's going down left to right, it's going to be negative. SOOO -2/3. The y-intercept is 4 because, well that's where the line crosses the y-axis.

jalen lost 12 pounds in the first 3 weeks of his diet. After this point , his weight loss slowed by half. If he lost a total of 84 pounds , how many weeks did it take him?

Answers

12:3= 4 per wk in the first 3 wk
Take 4:1/2=2, 2x36=72+ 12=84
36+3= 39 wk to lose 84 pounds
Hope this helps

The Bill for dinner at Dave and Busters last night was $62.20. The waiter received an 18% tip. How much of a tip did the waiter receive?

Answers

11.196 or 11.20 is the answer

Please help!!

Raymond planted a vegetable garden containing 50 plants. There were 15 tomato plants, 10 green bean plants, 5 pepper plants, 12 zucchini plants, and 8 cucumber plants.

Use the percent that you find and multiply each times 360° to find the number of degrees for each sector of the circle graph based on this data.

Answers

108* tomato

72*green bean plants

36*pepper

86.4*zucchini

57.6*cucumber

PLEASE HELP ME WITH THIS QUESTION!!!!!!!!

Answers

I think it's a 1/2 because if you look at it and look at the points the smallest triangle would be half of that

i know the value of x is congruent to the other side, confused about the square root part

Answers

Answer:

I think it is that I'm not sure

[tex]10 \sqrt{3} [/tex]

In ∆DEF, ∠F = ∠D and EF = 4 cm and DF = 5 cm. Then find the length of DE

Answers

Answer:

DE = 4cm.

Step-by-step explanation:

The Isoscles Triangle Theorem says that:

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

The converse of this theorem is

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

Therefore, since ∠F is congruent to ∠D and are opposite sides ED and EF

while EF = 4 cm and DF = 5 cm.

DE = 4cm.

Micheal plays 1/15 of a song in 1/5 of a minute. How many minutes will it take to play the whole song?

Answers

Answer:

3 minutes

Step-by-step explanation:

To find how many minutes it will take to play the whole song, multiply 1/5 by 15

15(1/5)

= 3

So, it will take 3 minutes to play the whole song

Answer:

Given :-Micheal plays 1/5 part of song in 15 minTo Find :-

Time taken to complete whole song

Solution :-

Let the time taken be x

Now,

x = 1/5 of 15

x = 15/5

x = 3 min

Step-by-step explanation:

[tex] \\ [/tex]

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