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Anastaziya [24]
2 years ago
6

Express the distance traveled as a function of the number of hours at the average speed. The morris family is traveling from pro

vidence to Fredericksburg. Given city traffic they will average 45 mph
Mathematics
1 answer:
shusha [124]2 years ago
6 0

Answer:

Dist = 45 m/h * x h

Step-by-step explanation:

We know a speed is a measure of distance over time:  speed = dist / time

In this case, we are looking for a distance expressed in terms of time.

So, we only need to modify the formula a bit: dist = speed * time

We don't know the time (which will be a variable), but we know their speed.  So, the formula becomes:

Dist = 45 m/h * x h

Enter the number of hours in the formula and that will give you an approximation of the distance traveled within that time (approximation since our result will be rely on an average).

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MakcuM [25]

what is this

Step-by-step explanation:

Option #1 – charges 5% simple interest per year; this is a short-term loan for only 5-years.

Option #2 – charges 7% simple interest per year; this is a short-term loan for only 3-years.

Option #3 – charges 3.2% simple interest per year; there is no time limit on this loan (as a group determine how long you think it will take you to make enough money to be able to pay back the loan with interest)

Option #4 - charges 10% simple interest per year; only lasts 10 months

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3 0
2 years ago
Read 2 more answers
1. General Trades A roofer earns $24 per hour plus $36 per hour overtime. If he puts in 40 hours of regular time during a certai
snow_tiger [21]

Answer:

He should work 6\frac{2}{3} hours in overtime.

Step-by-step explanation:

Let x represents the number of hours of regular time and y represents the number of hours of overtime,

Since, earnings are $24 per hour for regular time and $36 per hour for overtime,

Thus, total earning = (24x + 36y) dollars,

Here, x = 40 hours and total earning = $ 1200,

By substituting the values,

1200 = 24(40) + 36y

1200 = 960 + 36y

240 = 36y

⇒ y = 6\frac{2}{3}\text{ hours}

Hence, he should work 6\frac{2}{3} hours in overtime.

5 0
3 years ago
For what value of constant c is the function k(x) continuous at x = 0 if k =
nlexa [21]

The value of constant c for which the function k(x) is continuous is zero.

<h3>What is the limit of a function?</h3>

The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.

To determine the value of constant c for which the function of k(x)  is continuous, we take the limit of the parameter as follows:

\mathbf{ \lim_{x \to 0^-} k(x) =  \lim_{x \to 0^+} k(x) =  0 }

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}= c }

Provided that:

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}= \dfrac{0}{0} \ (form) }

Using l'Hospital's rule:

\mathbf{\implies  \lim_{x \to 0} \ \  \dfrac{\dfrac{d}{dx}(sec \ x - 1)}{\dfrac{d}{dx}(x)}=  \lim_{x \to 0}   sec \ x  \ tan \ x = 0}

Therefore:

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}=0 }

Hence; c = 0

Learn more about the limit of a function x here:

brainly.com/question/8131777

#SPJ1

5 0
2 years ago
For the function defined by y = StartFraction 1 Over x squared EndFraction, if x is doubled, what is the effect on y?
olchik [2.2K]

Answer:

a. y is quartered.

Step-by-step explanation:

y=1/x^2

when x is doubled, the equation becomes:

y=1/(2x)^2=1/(4x^2)

3 0
1 year ago
A package of 30 scented pencils costs $24.90. At this rate, what is the
masya89 [10]

Answer:

.83 cents

Step-by-step explanation:

8 0
2 years ago
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