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dolphi86 [110]
3 years ago
8

An airplane on autopilot took 5 hours to travel 3,470 kilometers. What is the unit rate for kilometers per​ hour?

Mathematics
1 answer:
VladimirAG [237]3 years ago
8 0
We can find the unit rate for kph by dividing distance by time.

3470 / 5 = 694

The airplane on autopilot traveled 694kph.
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A trampolinist steps off from 15 feet above ground to a trampoline 13 feet below. The function h (t) = -16 t 2 + 15, where t rep
kondor19780726 [428]

Answer:

Trampolinist will land on the trampoline after 0.9 seconds.

Step-by-step explanation:

The function h(t) = -16t² + 15 represents the relation between height 'h' above the ground and the time 't' of the trampolinist.

We have to find the time when trampolinist lands on the ground.

That means we have to find the value of 't' when h(t) = 15 - 13 = 2

[Since trampoline is 2 feet above the ground]

When we plug in the value h(t) = 2

2 = -16t² + 15

2 + 16t² = -16t² + 16t² + 15

16t² + 2 = 15

16t² + 2 - 2 = 15 - 2

16t² = 13

\frac{16t^{2}}{16}=\frac{13}{16}

t^{2}=\frac{13}{16}

t = \sqrt{\frac{13}{16}}

t ≈ 0.9 seconds

Therefore, trampolinist will land on the trampoline at 0.9 seconds.

5 0
3 years ago
What is the solution to the system of equations?<br><br> -4y – 3x = -11<br><br> x – 2y = 17
LekaFEV [45]

Answer:

Step-by-step explanation:

4 0
3 years ago
What percent is 24 or 96
KIM [24]

Answer:

.25 or 25%

Step-by-step explanation:

24/96=.25

6 0
3 years ago
If a x 10^n is scientific notation, then a must be between 1 and
Yanka [14]

Answer:

  A)  10

Step-by-step explanation:

In the US, a number in scientific notation will have a mantissa (a) such that ...

  1 ≤ a < 10

That is, the value of "a" must be between 1 and 10 (not including 10).

_____

<em>Comment on alternatives</em>

In other places or in particular applications (some computer programming languages), the standard form of the number may be a×10^n with ...

  0.1 ≤ a < 1

In engineering use, the form of the number is often chosen so that "n" is a multiple of 3, and "a" is in the range ...

  1 ≤ a < 1000

This makes it easier to identify and use the appropriate standard SI prefix: nano-, micro-, milli-, kilo-, mega-, giga-, and so on.

4 0
3 years ago
Solve the inequality. 2(4+2x)≥5x+5<br> x≤−2 <br> x≥−2 <br> x≤3<br> x≥3
KATRIN_1 [288]
<h2>Answer:</h2>

The solution of the inequality is:

                       x\leq 3

<h2>Step-by-step explanation:</h2>

We are given a inequality in terms of variable x as:

2(4+2x)\geq 5x+5

Now we are asked to find the solution of the inequality i.e. we are asked to find the possible values of x such that the inequality holds true.

We may simplify this inequality as follows:

On using the distributive property of multiplication in the left hand side of the inequality we have:

2\times 4+2\times 2x\geq 5x+5\\\\i.e.\\\\8+4x\geq 5x+5\\\\i.e.\\\\8-5\geq 5x-4x\\\\i.e.\\\\x\leq 3

The solution is:      x\leq 3

8 0
3 years ago
Read 2 more answers
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