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Anika [276]
3 years ago
8

What constant acceleration is required to increase the speed of a car from 30 mi/h to 52 mi/h in 5 seconds? (Round your answer t

o two decimal places.)
Mathematics
1 answer:
Alenkasestr [34]3 years ago
6 0

Answer:

a = 9.84 m/s^2

Step-by-step explanation:

Given:

Initial speed (Vi) = 30 mi/h = 67.1 m/s

Final speed (Vf) = 52 mi/h  = 116.32

Time period(t) = 5 seconds

We know the formula of acceleration in terms of initial speed, final speed and time:

a = \frac{Vf -Vi}{t}

a = \frac{116.32-67.10}{5}

a = 9.84 m/s^2

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Maria is m inches tall. Blaire is 2 inches taller than Maria. If Blaire is 52 inches tall, which equation could be used to find
Setler79 [48]
The answer would be C. m+2=52
7 0
2 years ago
Read 2 more answers
Sergei says that 10% of a number will always be less than 20% of any other number.
11111nata11111 [884]
That's false.
Let's see an instance:
10% of 300=30
20% of 100=20
It doesn't work here so it's false

5 0
3 years ago
If you roll a fair six-sided die and a fair four-sided die, what is the probability that neither die shows a 1?
Masja [62]
For the first die, 5 out of 6 are not 1. 
That is 5/6. 
For the second die, 3 out of 4 are not 1. 
That is 3/4.  
Multiply 5/6 by 3/4 to get the probability.
5/6 x 3/4 = 20/72 
Simplify once to get 10/36. 
Do it again to get 5/18. 
In decimal form it is 0.2777 and in percent form it is 27.77%. 
Hope this helps!

3 0
3 years ago
Find x for equation 10 points
alexgriva [62]

Hi!

3x - 30 = x + 10

<h3>Solve by isolating x on one side. </h3><h3>Add 30 to both sides. </h3>

3x - 30 + 30 = x + 10 + 30

3x = x + 40

<h3>Subtract x from both sides. </h3>

3x - x = x - x + 40

2x = 40

<h3>Divide by 2 on both sides</h3>

2x/2 = 40/2

<u>x = 20</u>

<h2>The answer is x = 20</h2>

Hope this helps! :)

-Peredhel

6 0
3 years ago
Orlando invests $1000 at 6% annual interest compounded daily and Bernadette invests $1000 at 7%
Montano1993 [528]

Answer:

6 Years

Step-by-step explanation:

Orlando invests $1000 at 6% annual interest compounded daily.

Orlando's investment = A=1000(1+\frac{0.06}{365})^{(365\times t)}

Bernadette invests $1000 at 7% simple interest.

Bernadette's investment = A = 1000(1+0.07×t)

By trail and error method we will use t = 5

Bernadette's investment will be after 5 years

1000(1 + 0.07 × 5)

= 1000(1 + 0.35)

= 1000 × 1.35

= $1350

Orlando's investment after 5 years

A=1000(1+\frac{0.06}{365})^{(365\times 5)}

   = 1000(1+0.000164)^{1825}

  = 1000(1.000164)^{1825}

  = 1000(1.349826)

  = 1349.825527 ≈ $1349.83

After 5 years Orlando's investment will not be more than Bernadette's.

Therefore, when we use t = 6

After 6 years Orlando's investment will be = $1433.29

and Bernadette's investment will be = $1420

So, after 6 whole years Orlando's investment will be worth more than Bernadette's investment.

8 0
3 years ago
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