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4 years ago

What’s equivalent to x^-2

Mathematics

1 answer:

lesantik [10]4 years ago

5 0

1/x^2. Remember that any number raised to a negative power is the reciprocal.

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Which is the graph of f(x) =1/4(4)^x?

choli [55]

Answer:

The third choice

Step-by-step explanation:

I graphed it in desmos, this is what comes up:

5 0

3 years ago

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A car driving at 20m/s accelerates at 3m/s2 for 3s. What is its final velocity? How far will it travel during this time?

-BARSIC- [3]

Answers:

Final velocity = 29 m/s

Distance traveled = 73.5 meters

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

Work Shown:

The given data is

$v_i = 20 \text{ m}/\text{s} = \text{initial velocity}\\\\a = 3 \text{ m}/\text{s}^2 = \text{acceleration}\\\\t = 3 \text{ s} = \text{time duration}\\\\$

This leads to

$v_f = v_i + a*t\\\\v_f = 20 + 3*3\\\\v_f = 20 + 9\\\\v_f = 29\\\\$

The final velocity is 29 m/s.

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We can use that final velocity to find the distance traveled.

$x = 0.5*(v_i+v_f)*t\\\\x = 0.5*(20+29)*3\\\\x = 0.5*(49)*3\\\\x = 24.5*3\\\\x = 73.5\\\\$

The distance traveled is 73.5 meters.

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An alternative way to calculate the distance is to do this

$x = \frac{(v_f)^2 - (v_i)^2}{2a}\\\\x = \frac{(29)^2 - (20)^2}{2*3}\\\\x = \frac{841 - 400}{6}\\\\x = \frac{441}{6}\\\\x = 73.5\\\\$

Or you could do this

$x = v_i*t + 0.5*a*t^2\\\\x = 20*3 + 0.5*3*3^2\\\\x = 20*3 + 0.5*3*9\\\\x = 60 + 13.5\\\\x = 73.5\\\\$

For more information, check out the Kinematics equations.

7 0

2 years ago

Help!! Don’t really understand this!!

tekilochka [14]

Answer:

Step-by-step explanation:

You find the square root of 5 and 3 then square the answers you get which just undos the square root so in the end you just have 5 times 3 which is 15.

7 0

3 years ago

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Express in lowest terms.

netineya [11]

Answer:

3x^3

Step-by-step explanation:

57/19=3

x^5 - x^2 = x^3

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3 years ago

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Please help meeeeeeeeeeeeeeeee please

Harman [31]

9514 1404 393

Answer:

2.1 ft³

Step-by-step explanation:

Put the given radius and height into the volume formula and do the arithmetic.

V = 1/3πr²h

V = 1/3(3.14159)(1 ft)²(2 ft) ≈ 2.094 ft³

Rounded to tenths, this is 2.1 cubic feet.

The picture cuts off your rounding requirements. If it is hundredths, you need to use 2.09 ft³. If it is thousandths, your answer will depend on the value of pi you are asked to use.

4 0

3 years ago