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Nat2105 [25]
3 years ago
7

Which of the following is a composite number? 61 , 13 , 63 , 31

Mathematics
1 answer:
Jet001 [13]3 years ago
4 0
It's 63, all the others are prime numbers.
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Need some help with table 2.Fill up tables of proportional relationships with missing Values.
schepotkina [342]

Proportional Relationships

If the variables x and y are in a proportional relationship, then:

y = kx

Where k is the constant of proportionality that can be found as follows:

k=\frac{y}{x}

If we are given a pair of values (x, y), we can find the value of k and use it to fill the rest of the table.

For example, Table 1 relates the cost y of x pounds of some items. We are given the pair (2, 2.50). We can calculate the value of k:

k=\frac{2.50}{2}=1.25

Now, for each value of x, multiply by this factor and get the value of y. For example, for x = 3:

y = 1.25 * 3 = 3.75

This value is also given and verifies the correct proportion obtained above.

For x = 4:

y = 1.25 * 4 = 5

For x = 7:

y = 1.25 * 7 = 8.75

For x = 10:

y = 1.25 * 10 = 12.50

Now for table 2, we are given the pair (3, 4.5) which gives us the value of k:

k=\frac{4.5}{3}=1.5

Apply this constant for the rest of the table.

For x = 4:

y = 1.5 * 4 = 6

For x = 5:

y = 1.5 * 5 = 7.50

For x = 8:

y = 1.5 * 8 = 12

The last column doesn't give us the value of x but the value of y, so we need to solve for x:

y=k\cdot x\text{  }=>\text{ }x=\frac{y}{k}

For y = 15:

x=\frac{15}{1.5}=10

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10 months ago
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You can line up 9 tables for the water station.
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3 years ago
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SOLVE THIS <br>VERY IMPORTANT QUESTION​
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Answer:

Step-by-step explanation:

\dfrac{Cos \ A}{1 + Sin \ A}=\dfrac{Cos \ A *(1-Sin \ A)}{(1+Sin \ A)(1 - Sin \ A)}\\\\\\=\dfrac{Cos \ A *(1 - Sin \ A)}{1^{2}-Sin^{2} \ A}\\\\\\=\dfrac{Cos \ A *(1 - Sin \ A)}{Cos^{2} \ A}\\\\\\=\dfrac{1-Sin \ A}{Cos \ A}------(I)

LHS =\dfrac{Cos \ A}{1+Sin \ A}+\dfrac{1+Sin \ A}{Cos \ A}\\\\\\ = \dfrac{1-Sin \A}{Cos \ A}+\dfrac{1+Sin \ A}{Cos \ A} \ [from \ equation \ (I)]\\\\\\=\dfrac{1-Sin \ A + 1 - Sin \ A}{Cos \ A}\\\\=\dfrac{2}{Cos \ A}\\\\\\=2*Sec \ A = RHS

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2 years ago
M=-3,(-2,9)<br> what is this equation in point-slope form?<br> and please explain how
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Answer:

y-9= -3(x+2)

Step-by-step explanation:

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y1= 9

X1= -2

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