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3 years ago

A train is traveling at a constant speed. The diagram represents the train's distance and time. What is the speed of the train?

Mathematics

2 answers:

Over [174]3 years ago

6 0

240÷6=40 so the answer would be "The train is traveling 40 miles per hour."

exis [7]3 years ago

4 0

Answer:

40 miles (Also, I know its imagine math nice try)

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I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ

Dmitrij [34]

Answer:

$V = \frac{450L - 6 L^{3} }{10}$

Step-by-step explanation:

The volume of a cuboid can be determined simply by the formula: V= LWH

(where: L is length, H is height and W is width).

In this particular case the base is a square, which means the length and width are equal. Hence we can modify the equation of volume:

$V = L^{2} H$

Now we need to find the value of H in terms of L. For this we can develop the equation for cost incurred in building the storage shed. We find the area of each side of the cuboid, and then we multiply it by cost per square feet to find the total cost incurred; as shown below:

Area:

Base: $L$ × $L = L^{2}$

Roof: $L$ × $L = L^{2}$

Side: $4 H$ × $L = 4HL$ (we have considered all four sides)

Cost:

Base: 4 $L^{2}$

Roof: 2 $L^{2}$

Side: $2.50 * 4HL = 10 HL$

Total cost:

4 $L^{2}$ + 2 $L^{2}$ + 10 $HL$ = 450

We simplify this equation further:

6 $L^2$ + 10HL = 450

10HL = 450 - 6 $L^2$

$H = \frac{450- 6 L^2}{10L}$

We now have the value of H, which we can substitute in the formula of Volume we deduced earlier:

substituting $H = \frac{450-6L}{10L}$ in $V = L^{2} H$ :

$V = L^2$ × $\frac{450 - 6L }{10L}$

Simplifying it further:

$V = L$ × $\frac{450 - 6L}{10}$

$V= \frac{450L - 6L^3}{10}$ is the final answer.

3 0

3 years ago

What value of x is in the solution set of 3(x - 4) 5x + 2? O -10 05 05 O 10

djverab [1.8K]

Id have to say 5
Explanation: distributive property
Sorry if that’s wrong

-HOPE THAT HELPED!! <3

5 0

3 years ago

Change equation into y=mx+b 3x+2y=12

Sedbober [7]

Y=-3/2x + 2 this is because of algebra

6 0

3 years ago

Read 2 more answers

Martin can travel 174 miles in 3 hours. At this rate, how far can he travel in 7.

Blizzard [7]

Answer:

I believe the answer is 406 miles.

Let me know of this is the correct answer

7 0

3 years ago

Determine whether the statement is true or false. If f and g are positive increasing functions on an interval I, then fg is incr

Leno4ka [110]

Answer: false

Step-by-step explanation:

If f and g are increasing on I, this implies that f' > 0 on I and g' > 0 on I. That is both f' and g' have a positive slope. However,

Using product rule;

(fg)' = fd(g) + gd(f)

(fg)' = f * g' + f' * g

and although it is given that g' and f' are both positive we don't have any information about the sign of the values of the functions themselves(f and g). Therefore, if at least one of the functions has negative values there is the possibility that the derivative of the product will be negative. For example;

f = x, g = 5x on I = (-5, -2)

f' = 1 and g' =5 both greater than 0

f and g are both lines with positive slopes therefore they are increasing, but f * g = 5x^2 is decreasing on I.

6 0

3 years ago