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3 years ago

A car travels at 60 mi/h. The function gives the distance the car travels in x hours. What is the range of this function?

1 answer:

5 0

Theoretically all real numbers ≥0 it just depends on hours driven

I believe the point here is that the function is continuous rather than discrete

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How many ways can six of the letters of the word ALGORITHM be selected 8. How many ways can the letters of the word ALGORITHM be

SCORPION-xisa [38]

<h2>Answer with explanation:</h2>

The number of letters in word "ALGORITHM" = 9

The number of combinations to select r things from n things is given by :-

$C(n,r)=\dfrac{n!}{r!(n-r)!}$

Now, the number of combinations to select 6 letters from 9 letters will be :-

$C(9,8)=\dfrac{9!}{6!(9-6)!}=\dfrac{9\times8\times7\times6!}{6!\times3!}=84$

Thus , the number of ways can six of the letters of the word ALGORITHM=84

The number of ways to arrange n things in a row : $n!$

So, the number of ways can the letters of the word ALGORITHM be arranged in a be seated together in the row :-

$9!=362880$

If GOR comes together, then we consider it as one letter, then the total number of letters will be = 1+6=7

Number of ways to arrange 9 letters if "GOR" comes together :-

$7!=5040$

Thus, the number of ways to arrange 9 letters if "GOR" comes together=5040

3 0

3 years ago

Charlie guesses that his dog weighs 34.5 pounds. The dog actually weighs 32.7 pounds. What is the percent error in Charlie’s gue

zhuklara [117]

The answer is 5.5 % because 34.5x5.5=32.7

4 0

3 years ago

Read 2 more answers

HELP PLEASE!!

zhenek [66]

Answer:

y = 1/2x + 1.

Step-by-step explanation:

Use the point-slope form of a straight line:

y - y1 = m(x - x1) (where m=slope and(x1,y1) is a point on line).

y - 3 = 1/2(x - 4)

y = 1/2x - 2 + 3

y = 1/2x + 1.

7 0

2 years ago

If y varies inversely as x and y=23 when x=8 find y when x=4

valina [46]

<h2>INVERSE VARIATION</h2>

EQUATION: 

$y = \frac{k}{x}$

––––––––

First, find the constant of variation k using the formula k=xy.

$23 = \frac{k}{8}$

$k = (8)(23)$

$k = 184$

––––––––

Then, find y if x is equal to four using the formula y=184/x.

$y = \frac{184}{x}$

$y = \frac{184}{4}$

$y = 46$

Final Answer:

5 0

2 years ago

How many 10 are in 64785

Molodets [167]

6478 10's. To be accurate; 6478.5

5 0

3 years ago