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3 years ago

I walk 5.5 miles in five hours what point on the graph represent miles per hour for this situation

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

3 0

Answer:

you walk 1.1 miles per hour

Step-by-step explanation:

if you walk 5.5 miles in five hours and you want to figure out how many mile(s) you walk per hour then divide the number of miles you walk by the number of hours its takes.

If you are graphing this than the hours will on bottom (x-axis) and the miles will be on the side (y-axis)

5.5÷5=1.1

5.5: #of miles walked in 5 hours

5: #of hours spent walking

1.1: #miles per hour spent walking

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Is f(x) continuous at x equals 4? Why or why not? A. No, f(x) is not continuous at x equals 4 because ModifyingBelow lim Wit

soldier1979 [14.2K]

Corrected Question

Is the function given by:

$f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right$

continuous at x=4? Why or why not? Choose the correct answer below.

Answer:

(D) Yes, f(x) is continuous at x = 4 because $Lim_{x \to 4}f(x)=f(4)$

Step-by-step explanation:

Given the function:

$f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right$

A function to be continuous at some value c in its domain if the following condition holds:

f(c) exists and is defined.

$Lim_{x \to c}$ f(x)$ exists.

$f(c)=Lim_{x \to c}$ f(x)$

At x=4

$f(4)=\dfrac{1}{4}*4+1=2$

$Lim_{x \to 4}f(x)=2$

Therefore: $Lim_{x \to 4}f(x)=f(4)=2$

By the above, the function satisfies the condition for continuity.

The correct option is D.

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3 years ago

Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).

sesenic [268]

The perpendicular line is x=-4

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3 years ago

Read 2 more answers

suppose 60% of kids who visit a doctor have a fever, and 20% of kids with a fever have sore throats. what's the probability that

kkurt [141]

Answer:

0.12

Step-by-step explanation:

Suppose there are 100 kids

60% have fever, so what is 60% of 100?

We convert percentage to decimal and multiply:

60/100 = 0.6

0.6 * 100 = 60 have fever

20% of the people having fever (60 of them) have sore throats, so,

What is 20% of 60?

We convert percentage to decimal and multiply:

20/100 = 0.2

0.2 * 60 = 12 have sore throat

So, how many people are there with fever AND sore throat, that is 12. We took initially there to be 100 people. Hence, the probability is:

$\frac{12}{100}=0.12$

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Answer:

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Step-by-step explanation:

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