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Bezzdna [24]
3 years ago
15

a car advertisement states that a certain car can be accelerated from rest to 70 km/h in 7 seconds find the cars adverage accele

ration
Mathematics
1 answer:
jekas [21]3 years ago
6 0

Step-by-step explanation:

v=70km/h

t=7 seconds

u=0

first change the unit km/h to m/s

1000km=1m

3600seconds=1h

v=70km/h ×1000km/3600s

v=19.44m/s

acceleration =final velocity(v)-initial velocity(u)/time

acceleration=19.44m/s-0m/s=19.44m/s

19.44/7=2.78 m/s

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3.14 and
stepladder [879]

Answer:

471ft^3

Step-by-step explanation:

5^2 x 6 x 3.14

25 x 6 = 150

150 x 3.14 = 471

5 0
3 years ago
A large rectangular movie screen in an IMAX theater has an area of 8,364 square feet. Find the dimensions of the screen if it is
jeyben [28]

Answer:

The dimensions of the screen are

Length:102 feet

Width: 82 feet

Step-by-step explanation:

we know that

The area of the rectangle (movie screen) is equal to

A=LW

where

L is the length

W is the width

we have

A=8,364\ ft^2

so

8,364=LW ----> equation A

The screen is 20 feet longer than it is wide.

so

L=W+20 ---> equation B

substitute equation B in equation A

8,364=(W+20)W

solve for W

8,364=W^2+20W\\W^2+20W-8,364=0

solve the quadratic equation by graphing

the solution is W=82 ft

see the attached figure

Find the value of L

L=82+20=102\ ft

therefore

The dimensions of the screen are

Length:102 feet

Width: 82 feet

7 0
3 years ago
I need help ? which linear function is represented by the graph?​
PilotLPTM [1.2K]
<h3>Answer: f(x) = (-1/2)x+1, choice B</h3>

=================================================

Explanation:

The diagonal line passes through 1 on the vertical y axis. So the y intercept is b = 1. This means the location of the y intercept is (0,1).

Start at (0,1) and move down 1 and to the right 2 to arrive at (2,0). This is another point on the diagonal line. The motion of "down 1 and right 2" is effectively the slope

slope = rise/run = -1/2

rise = -1, run = 2

The rise being negative means we have gone downhill as we move to the right.

With m = -1/2 as the slope and b = 1 as the y intercept, we go from y = mx+b to y = (-1/2)x+1

The last thing to do is replace y with f(x) to get f(x) = (-1/2)x+1 as the final answer.

4 0
3 years ago
Read 2 more answers
A brand of grape juice that's is 25% grape juice is mixed with another brand that is 75% grape juice. The result is 7 gallons of
garri49 [273]

Answer:

5.6 gallons.

Step-by-step explanation:

If we take x gallons of 25% grape juice then it will contain \frac{x}{4} gallons of pure grape juice.

Again, if we take y gallons of 75% grape juice then it will contain \frac{3y}{4} gallons of pure grape juice.

If we mix them then the total volume will become x + y = 7 gallons  ...... (1)

Again the mixture will become 35% juice.

So, \frac{\frac{x}{4} +\frac{3y}{4} }{x+y} =\frac{35}{100}

⇒ 0.25x + 0.75y = 0.35x + 0.35y

⇒0.1x = 0.4y

⇒x = 4y........ (2)

Now, solving equations (1) and (2) we get, 5y = 7, ⇒ y = 1.4 gallons

Hence, x = 4y = 5.6 gallons

Therefore, the 25% grape juice was mixed by 5.6 gallons. (Answer)

4 0
3 years ago
What if the carrots were 50 cents less per pound how much Victoria pay for 8.5 pounds of carrots?
nikdorinn [45]
If you multiply 8.5 by 50 cents your answer will be 4.25
5 0
3 years ago
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