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sergeinik [125]
4 years ago
9

Which equation represents a direct variation?

Mathematics
2 answers:
slega [8]4 years ago
8 0

Answer:

c) y=1/2x

Step-by-step explanation:

A direct variation is a linear function that is written in the form of y=kx, so from the options that we have we have to search for linear functions, that rules out option "A", and now that is written in Y=KX in option b we have a liner function that is written y=X+B which is a constant, so that wouldn´t be and option D is Y=k/x so that one is also wrong, our correct option would be y=1/2x

lord [1]4 years ago
3 0
The answer is c) y=1/2x because a direct variation is in the formula b=ka where k is a constant. 
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Create an exponential to describe $100 at 2% interest compounded annually for x years
zysi [14]

Answer:

A=100(1.02)^{x}                  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=x\ years\\ P=\$100\\ r=2\%=2/100=0.02\\n=1  

substitute in the formula above

A=100(1+\frac{0.02}{1})^{1*x}  

A=100(1.02)^{x}  

8 0
4 years ago
Two birds sit at the top of two different trees. The distance between the first bird and a bird-watcher on the ground is 14.1 fe
Harman [31]
Use the trig ratio which gives you the most information. Here we have opposite and hypotenuse relative to angle x, so think sin( x ) = 14.1 / 27.9<span>Now we want to solve for x, but x is stuck inside the sine function
So how do we do this?
We can 'undo' the sine function by using the inverse sine. apply the inverse Sin to both sides of the equation.
sin^-1 ( sin(x) ) = sin^-1 ( 14.1 / 27.9)
the left side 'cancels' , leaving you with x
x = sin^-1 ( 14.1 / 27.9)</span><span>Now you need a calculator.
Make sure you are in degree mode.
Calculators can give you answer in radian or degree.
If you get a decimal answer, you are probably in radian mode.
Round up if you want nearest hundredth
30.3563 ≈ 30.36
Round up again if you want nearest tenth
30.36 ≈ 30.4
Hope this helps! :)


</span>
7 0
3 years ago
Judy uses 12 tiles to make a mosaic. 8 of the tiles are blue. what fraction ,in simplest form, represents the tiles that are blu
gulaghasi [49]
2/3
You do 8/12 since it’s blue to mosaic tiles and both number divide by 4 so 8 divided by 4 is 2 and 12 divided by 4 is 3 so 2/3
7 0
3 years ago
Help I need help plz!!!And tell me how you got it plz!!!!!!
Ahat [919]
You have to multiply, so you get 7 1/2

6 0
3 years ago
0.3^3÷0.9⋅20+6.4÷0.2<br>NEED ANSWER AS SOON AS POSSIBLE!!! 20 POINTS
andrezito [222]

Answer:

Step-by-step explanation:

1. 0.3 times 3 equals 0.9,

2. divided by 0.9 equals 1,

3. 1 times 20 equals 20,

4. plus 6.4 equals 26.4

5. divided by 0.2 equals

the grand total of

132!

6 0
3 years ago
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