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Pavel [41]
2 years ago
14

The distance from Wakefield to London is 180 miles. A train travels this distance in 2 hours 15 minutes. Calculate the average s

peed of the train.
Mathematics
1 answer:
Readme [11.4K]2 years ago
4 0

Answer:

v = 80 mph

Step-by-step explanation:

Given that,

The distance from Wakefield to London is 180 miles.

The train travels this distance in 2 hours 15 minutes.

We need to find the average speed of the train. The average speed of the train is equal to the total distance covered divided by the time taken.

v=\dfrac{d}{t}\\\\v=\dfrac{180\ miles}{(2+\dfrac{15}{60})\ h}\\\\v=80\ mph

So, the required average speed of the train is 80 mph.

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anastassius [24]

We have f(2)=2^3-2^3+2^2+3=7\neq0, so by the remainder theorem x-2 is not a factor of f(x). (The remainder would have been 0 if it were a factor.)

3 0
3 years ago
What is -3/11 as a decimal
Marianna [84]
It is possible to convert a fraction to a decimal in mathematics. First, -3/11 is a fraction. To convert a fraction which is -3/11, divide 3 by 11 which you get .272727... and you get the idea. The '27' repeats. Therefore, the answer would be -.27 with a <span>Vinculum symbol which is a horizontal line above the number to indicate its repeating. Also, don't forget to put a negative sign!</span>
6 0
2 years ago
ILL MARK AS BRAINLIEST!! AND GIVE 10 POINTS!!! Are the following lines parallel, perpendicular, or neither?
Licemer1 [7]

Answer:

b perpendicular

Step-by-step explanation:

all that is needed to do is the Y2 - y1 / X2 - X1 formula and then compare the two slopes making sure they are inverse opposites

Line 1)      -7 -8 / -3 -2  X= 3X

Line 2)      -3 - 0 / 12 - 3  X = -1 / 3X

Because they are inverse opposites of each other they are perpendicular had they had the exact same slopes they would have been parallels.  

8 0
2 years ago
F(x) = 1/x<br> g(x) = x - 4<br> Can you evaluate (gof)(0)? Explain why or why<br> not.
s344n2d4d5 [400]

(gof)(0) cannot be evaluated

<em><u>Solution:</u></em>

Given that,

f(x) = \frac{1}{x}\\\\g(x) = x - 4

A composite function is denoted by (g o f) (x) = g (f(x)).

The notation g o f is read as “g of f”

Therefore, let us find whether (gof)(0) can be evaluated or not

To find (gof)(0):

(g o f) (x) = g (f(x))

Now substitute the given value of f(x)

(g o f) (x) = g(\frac{1}{x})

\text{ Substitute } x = \frac{1}{x} \text{ in } g(x) = x - 4

(g o f) (x) = \frac{1}{x} - 4

Now to find (gof)(0), substitute x = 0

(g o f) (x) = \frac{1}{0} - 4

Since 1 divided by 0 is undefined, because any number divided by 0 is undefined

(gof)(0) cannot be evaluated

6 0
3 years ago
Read 2 more answers
A ball will be drawn from the bag containing 20 balls numbered one through 20 if each ball is equally likely to be drawn what is
son4ous [18]

Answer:

3/5

Step-by-step explanation:

There are 20 balls, numbered 1 through 20.

Of these, 10 are even, 4 are less than five, and 2 are both even and less than 5.

So the probability is:

P(even or <5) = P(even) + P(<5) − P(even and <5)

P(even or <5) = 10/20 + 4/20 − 2/20

P(even or <5) = 12/20

P(even or <5) = 3/5

5 0
3 years ago
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