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disa [49]
3 years ago
13

If y varies directly as​ x, find the constant of variation k and the direct variation equation for the situation. y= 10 x=50

Mathematics
1 answer:
Anna007 [38]3 years ago
6 0
K= 1/5 8s the constant variation
You might be interested in
Is -2x-6=2x+6 no soulution
Olegator [25]

Answer:

No

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x−6=2x+6

Step 1: Subtract 2x from both sides.

−2x−6−2x=2x+6−2x

−4x−6=6

Step 2: Add 6 to both sides.

−4x−6+6=6+6

−4x=12

Step 3: Divide both sides by -4.

−4x/−4 = 12/-4

=

x=−3

6 0
3 years ago
Read 2 more answers
Ln a+3 + ln a-3 = ln 16
Lilit [14]
\bf log_{{  a}}(xy)\implies log_{{  a}}(x)+log_{{  a}}(y)\\\\
and\qquad \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-----------------------------\\\\
ln(a+3)+ln(a-3)=ln(16)\implies ln[(a+3)(a-3)]=ln(16)
\\\\\\
ln[a^2-3^2]=ln(16)\impliedby \textit{removing ln() from both sides}
\\\\\\
a^2-9=16\implies a^2=16+9\implies a^2=25
\\\\\\
a=\pm\sqrt{25}\implies a=\pm 5
7 0
3 years ago
I need helpPlssssssssssssss
Semmy [17]

The correct answer would be B because .47 is bigger than 42/100 or .42

8 0
3 years ago
Larry is building a frame around a rectangular picture. He will need 42 inches of wood to do the entire frame. If the frame is 1
Anton [14]

The width would be 9 inches. Here's how I got the answer:

Double 12

Subtract from total

Take your difference and divide by two.

That will give you the width.

8 0
3 years ago
The children in my subdivision were bored one summer and decided to hold a competition to see who could run to the end of the st
Ainat [17]

Answer:

6.7% of children who finished the race in under 45 seconds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 75 seconds

Standard Deviation, σ =  20 seconds

We are given that the distribution of time of completion is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(finished the race in under 45 seconds.)

P(x < 45)

P( x < 45) = P( z < \displaystyle\frac{45 - 75}{20}) = P(z < -1.5)

Calculation the value from standard normal z table, we have,  

P(x < 45) = 0.067 = 6.7\%

6.7% of children who finished the race in under 45 seconds.

4 0
4 years ago
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