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Alex17521 [72]
3 years ago
7

Convert 25 feet per second to miles per hour, with work show.

Mathematics
1 answer:
bulgar [2K]3 years ago
5 0

we  know there are 5280 feet in 1 mile, and there are 3600 seconds in 1 hour.


\bf \cfrac{25 \underline{ft}}{sec}\cdot \cfrac{mi}{5280 \underline{ft}}\cdot \cfrac{3600 \underline{sec}}{hr}\implies \cfrac{25\cdot 3600}{5280}\cfrac{mi}{hr}\implies \cfrac{375}{22}\cfrac{mi}{hr}\implies 17.0\overline{45}\frac{mi}{hr}

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Determine whether the graph represents a function . If it does represent a function , give its domain and range.
laiz [17]

Answer:

A function is a relationship that maps elements from a set (the domain) into elements from another set (the range)

Such that each element in the domain can be mapped into only one element from the range.

Let's see graphs 18, 20,24 and 30.

Remember that the axis that represents the domain is the horizontal one (usually represented with x), and the vertical axis represents the range (usually represented with y)

18) Here we can see that the point x = 1 his mapped into two different values of y.

we have the pair (1, 2) and the pair (1, -3)

And something similar happens for x = 2.

Then we can conclude that this is not a function.

20) Here we have a linear relationship.

Linear relationships are almost always functions, the only case when these are not functions is when the linear equation is something like x = a.

Linear equations can be written as:

y = a*x + b

So x can be any value, and thus y also can be any value.

Then the domain is the set of all real numbers, and the range is the set of all real numbers.

24) Here we have a quadratic function whose arms go down.

This is a function, now let's see the domain and range.

Quadratic functions are written as:

y = a*x^2 + b*x + c

There is no value of x can cause some problem in this equation, then this function works for all values of x, then the domain is the set of all real numbers.

Now, let's look at the graph.

We can see that the function goes up, reaches a maximum, and then goes down again.

Then the range will be the set of all the values smaller than the maximum we can see in the graph, this is:

y ∈ (-∞, 15]

or simply:

y ≤ 15.

30) Here again, we can see that for x = 0 there are two different values of y.

the same happens for x = -1, x = -2, and a lot of other values.

Then this is not a function, because it is mapping values of the domain into different values of the range.

3 0
3 years ago
10) Answer as a mixed number (if<br> possible).<br> 1/3 + 1/2 =
scoundrel [369]

Answer:

5/6

Step-by-step explanation:

1/3 = 2/6

1/2 = 3/6

2/6+3/6= 5/6

4 0
3 years ago
Read 2 more answers
Shannon is paid £1150 a month after deductions.what is her net annual salary?(a year=12 months )
-Dominant- [34]

Answer:

£13800

Step-by-step explanation:

1150*12=£13800

6 0
3 years ago
Read 2 more answers
The limit as h approaches 0 of (e^(2+h)-e^2)/h is ?
Whitepunk [10]
<span>If you plug in 0, you get the indeterminate form 0/0. You can, therefore, apply L'Hopital's Rule to get the limit as h approaches 0 of e^(2+h),
which is just e^2.
</span><span><span><span>[e^(<span>2+h) </span></span>− <span>e^2]/</span></span>h </span>= [<span><span><span>e^2</span>(<span>e^h</span>−1)]/</span>h

</span><span>so in the limit, as h goes to 0, you'll notice that the numerator and denominator each go to zero (e^h goes to 1, and so e^h-1 goes to zero). This means the form is 'indeterminate' (here, 0/0), so we may use L'Hoptial's rule:
</span><span>
=<span>e^2</span></span>
3 0
3 years ago
A company is interested on average wages of employee and variance. A sample of 20 workers is taken and it is found that mean wag
vfiekz [6]
Given that the mean is $9.5 and the standard deviation is $1.30, the standard error will be given by:
σ/√n
where
σ-standard deviation
n=sample size

thus, we shal have:
1.30/√20
=0.2906
Next we find the margin error
0.2906*2=0.581
thus the confidence interval will be:
(9.5+0.581, 9.5-0.581)
=(10.081,8.919)
6 0
3 years ago
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