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Mamont248 [21]
3 years ago
7

What factor is paired with 6 to give 24

Mathematics
2 answers:
Natalka [10]3 years ago
8 0
6 and 4 would be paired to make 24
Ivanshal [37]3 years ago
4 0
<em>It is 4 since 6 * 4 = 24
</em>
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Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo
Marianna [84]

There are 21 ways Tim choose 2 books from the 7 recommended book

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

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

<em><u>The formula for combinations is:</u></em>

n C_{r}=\frac{n !}{r !(n-r) !}

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

<em><u>Substituting values in above formula, we get</u></em>

\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}

For a number n, the factorial of n can be written as,

n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1

Therefore, we get

7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21

Thus there are 21 ways Tim choose 2 books from the 7 recommended book

7 0
3 years ago
What is the slope of the line passing through the points (-1,-7) and (-9, -2) ?​
Dominik [7]
The equation for slope is:
(y2 - y1) / (x2 - x1)

-2 -(-7) = 5
-9 -(-1) = -8

Slope of the line:

5/-8 or -5/8
7 0
2 years ago
Read 2 more answers
The graph of the function f(x) is shown below.
faust18 [17]
Remember, parenthaees are like < and > and brackets ar like ≤ and ≥

domain is how far the x values go
x is left to right

we see they go from -3 to 5, with a filled in dot at -3 and empty dot at 5
means include -3 but not including 5
so like -3≤x<5
or in interval notation
[-3,5) is the domain



range
highest to lowest y value

range is from y=3 to y=-1
we gots full dots so we use brackets
range is [-1,3]



Domain=[-3,5)
Range=[-1,3]


B. read above and understand it
5 0
3 years ago
You just got a free ticket for a boat ride, and you can bring along 2 friends! Unfortunately, you have 6 friends who want to com
ladessa [460]

Answer:

10

Step-by-step explanation:

5 0
2 years ago
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6.8 * 10(2)<br> *keep in note that "2" is an exponent in this question*
Virty [35]

Answer:

68

Step-by-step explanation:

6.8 × 10^2

= 68

5 0
2 years ago
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