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Sever21 [200]
3 years ago
8

What is the kinetic energy of an object of mass of 30 K moving with a speed of 15 M/S2

Mathematics
1 answer:
ale4655 [162]3 years ago
5 0

You literally need to apply the formula

K=\dfrac{1}{2}mv^2

where m is the mass and v is the speed

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If a number is added to itself and the sum is multipled by 2 , the product is 4
Step2247 [10]
The number is 1

1 + 1 = 2

2(2) = 4

1 is your answer

hope this helps
8 0
3 years ago
3. A ladder is placed 5ft away from a building. The ladder comes up to 12 ft on the side of the
irina [24]

Answer:

13 feet long

Step-by-step explanation:

This situation forms a right triangle, where the ladder is the hypotenuse, the distance away from the building is the short leg, and the height to the side of the building is the long leg.

Use the pythagorean theorem, and solve for c, the hypotenuse:

a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 = c²

13 = c

So, the ladder is 13 feet long

8 0
2 years ago
Read 2 more answers
The number of newly reported crime cases in a county in New York State is shown in
JulsSmile [24]

Answer:

The linear regression equation that represents  the set of data is:

y=1083.48+23.73x

The predicted number of new cases for 2013 is 1368.

Step-by-step explanation:

The general form of a linear regression is:

y=a+bx

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>a</em> = intercept

<em>b</em> = slope

Compute the values of <em>a</em> and <em>b</em> as follows:

\begin{aligned}        a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 6857 \cdot 55 - 15 \cdot 17558}{ 6 \cdot 55 - 15^2} \approx 1083.476 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 6 \cdot 17558 - 15 \cdot 6857 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 23.743\end{aligned}

The linear regression equation that represents  the set of data is:

y=1083.48+23.73x

Compute the predicted value of the number of new cases for 2013 (i.e. <em>x</em> = 12) as follows:

y=1083.48+23.73x

  =1083.48+(23.73\times12)\\\\=1083.48+284.76\\\\=1368.24\\\\\approx 1368

Thus, the predicted number of new cases for 2013 is 1368.

8 0
3 years ago
Simplify this expression
qaws [65]

Answer:

10

Step-by-step explanation:

25-10+3-8

15+3-8

18-8

10

6 0
3 years ago
Suppose that the revenue function for a certain product is given by R(x) = 17(2x + 1)−1 + 34x − 17 where x is in thousands of un
REY [17]

Answer:

Step-by-step explanation:

Given that:

R(x) = \frac{17}{2x+1} + 34x − 17

As we know that derivative of revenue function is marginal revenue function .

We will use following rules of derivative

=> dR/ dx = \frac{-17*2}{(2x+1)^{2} } + 34

=> R' (x) =   \frac{-34}{(2x+1)^{2} } + 34

=> R '(2000) =  \frac{-34}{(2*2000+1)^{2} } + 34 = 34

The revenue when 2000 units are sold is:

R(2000) = \frac{17}{2*2000+1} + 34*2000 − 17 = $69,783

3 0
3 years ago
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