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NemiM [27]
3 years ago
8

Find the Constant of Proportionality from the table

Mathematics
1 answer:
eimsori [14]3 years ago
7 0
Bye $2?3?3?4?4?4?4?4?!4$4$4&3&3!:??:?:$.!.!/!!/!3!3!3
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What is the missing number below in the solution to 968 divided by 10
Advocard [28]

Answer: 484/5

Step-by-step explanation:

For this word problem, it seems confusing with the wording but the equation would just be:

968÷10=x

solving for x, we get 484/5.

6 0
2 years ago
Suppose we want to choose 5 colors, without replacement, from 8 distinct colors.1. If the order is relevant, how many can be don
Charra [1.4K]

(1) From the information given, if we want to choose 5 colors from 8 distinct colors and the order in which the selection is made is relevant, then what we have is a permutation.

The formula is given as;

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

This formula means we need to select/arrange r items out of a total of n items and the anwer derived would be the total number of arrangements possible.

Therefore, we would have;

\begin{gathered} nP_r\Rightarrow_8P_5 \\ _8P_5=\frac{8!}{(8-5)!}\Rightarrow\frac{8!}{3!} \\ _8P_5=\frac{8\times7\times6\times\ldots1}{3\times2\times1}\Rightarrow\frac{40320}{6} \\ _8P_5=6720 \end{gathered}

Therefore, if the order is relevant, this selection can be done in 6,720 ways.

(2) If the order is NOT relevant, then what we need to calculate is a combination and the formula is;

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

The formula can now be applied as follows;

\begin{gathered} _nC_r\Rightarrow_8C_5 \\ _8C_5=\frac{8!}{(8-5)!\times5!} \\ _8C_5=\frac{8!}{3!\times5!}\Rightarrow\frac{8\times7\times6\times\ldots1}{(3\times2\times1)\times(5\times4\times\ldots1)} \\ _8C_5=\frac{40320}{6\times120} \\ _8C_5=56 \end{gathered}

If the order is not relevant, then the selection can be done in 56 ways.

3 0
1 year ago
Why does a logarithmic equation sometimes have an extraneous solution?
jonny [76]

The main reason behind this is using properties of logarithm .

like

when solving

  • log_2(x+2)+log_2(x-3)=3

There you use multiplication property and make addition to multiplication then you get extraneous solution because in plenty of cases they occur

like

  • (-2)²=(2)²

But

  • -2≠2

Same happens in case of logarithm

6 0
2 years ago
Read 2 more answers
Look at the figure. Which pair of points is coplanar with points V and W?
aleksley [76]
The answer is r and s because it’s in the same plane.
4 0
4 years ago
Read 2 more answers
16.8 - (-23.72)+(-31.3) = x
KatRina [158]

Let's solve  your equation step-by-step

16.8-(-23.72)-31.3=x

Step 1:simplify both sides of the equation

16.8-(-23.72)-31.3=x

16.8+23.72+-31.3=x

(16.8+23.72+-31.3)=x (combine like terms)

9.22=x

9.22=x

Step 2: flip the equation

Answer: x=9.22

5 0
3 years ago
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