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2 years ago

You jog 2 kilometers in 12 minutes.At this rate,how long will it take you to complete a 5 kilometer race?

Mathematics

1 answer:

wlad13 [49]2 years ago

4 0

30 minutes
you are welcome in advance

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Write the system in a matrix equation. Then, find the determinant of the matrix containing the coefficients.

Shtirlitz [24]

Answer:

See below for the matrix

D = 100

Step-by-step explanation:

$\left[\begin{array}{cccc}3&2&1&-8\\-1&-2&4&7\\1&-6&-3&15\end{array}\right]$

3 2 1

D = -1 -2 4 = 3(-2)(-3) + 2(4)(1) + 1(-1)(-6)

1 -6 -3

- 1(-2)(1) - 3(4)(-6) - 2(-1)(-3)

= 18 + 8 + 6 + 2 + 72 - 6

= 100

Sorry, I can't type the vertical bars.

I hope this is what you are looking for.

5 0

2 years ago

Figure ABCD has verticies A(-4, 1) B(2, 1) C(2, -5) D(-4-3). What was the area of Figure ABCD.

JulijaS [17]

area: 18 units^2

Step-by-step explanation:

the shape is a quadrilateral, with one slanted side, so I separated the shape into a rectangle and triangle, and and calculated their area respectively, then added the products up. please correct me if I'm wrong. hope this helped. :)

8 0

2 years ago

Read 2 more answers

Two trains started moving at the same time, train A from Boston to New York, and train B from New York to Boston. The distance b

Ede4ka [16]

Answer:

After 1.7 hours

Explanation:

1. Calculate the average speed of train B

60mph = 3/4 (s) ⇒ s = 60 (4/3) mph = 80 mph

2. Build a table

When the two trains meet:

Train Average speed Distance time (distance/average speed)

mph

A 60 x x/60

B 80 240 - x (240 - x) / 80

3. Write the equation

The time, when the two trains meet, is the same for both trains:

$\dfrac{x}{60}=\dfrac{240-x}{80}\\ \\ \\ 80x=14,400-60x\\ \\ 80x+60x=14,400\\ \\ 140x=14,400\\ \\ x=14,400/140\\ \\ x=102.85miles$

4. Calculate the time:

x/60 = 102.86 / 60 = 1.7 hours

The two trains will meet after 1.7 hours

7 0

2 years ago

Which of these statements is true for f(x)=5x(6)^x

bonufazy [111]

Answer:

The answer if B. Hope this helps.

Step-by-step explanation:

3 0

2 years ago

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Explain how, in general, riemann sum approximations to the area of a region under a curve change as the number of subintervals

Lyrx [107]

As you increase the subintervals the area will be closer and closer to the real value. In other words your approximation gets better.

As you increase the intervals, there will be more rectanagles and the added area of these rectangles are converging towards the actual area under the curve.

5 0

2 years ago