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2 years ago

Describe proportional relationships

Mathematics

1 answer:

irga5000 [103]2 years ago

4 0

the constant of proportionality

Step-by-step explanation:

proportional relationships are relationships between two variables where there are ratios equivalent. another way to think about them is that in a proportional relationship that one variable is always constant value times the other that constant is known as the constant of proportionality

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Solve 3 ^ (x - 8) = 8 for x using the change of base formula logb y = (log y)/(log b)

Vilka [71]

Answer:

$x=3\log_3 (2) +8$

Step-by-step explanation:

Here we are using power rule first.

Power rule = The logarithm of an exponential number is the exponent times the logarithm of the base $[log(a)^{b}=b\times log(a)]$ .

For the function given.

$3^{(x-8)} = 8$ ,using log function both sides.

$(x-8)log(3)=log(8)$

Now,

$(x-8)=\frac{log(8)}{log(3)}$

Adding $8$ both sides.

$x=\frac{log(8)}{log(2)} +8$

And we know that $8=2^{3}$ so we can further write $log(8)=log(2^{3})=3log(2)$

Then we have $x=\frac{3\log(2)}{\log 3} +8$ .

Now, using change of base formula:

$\frac{\log y}{\log b}=\log_b y$

So, $\frac{\log 2}{\log 3}=\log_3 2$

Our final answer is $x=3\log_3 (2) +8$ .

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3 years ago

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How to write 1/12 as a decimal with long division?

Leto [7]

To write 1/12 as a decimal you would do 1 divided by 12. 1 goes into 12 0 times, giving you a 0 in the ones place. You would the do 120 divided by 12, giving you 10. Therefore, 1/12 as a decimal is 0.10, simplified to 0.1

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3 years ago

Team a can wash all the windows in the school in x hours. It takes team B 13 hours to do the same job. If the teams work togethe

MariettaO [177]

Answer:

it will take A 4.5 hour

Step-by-step explanation:

Say both teams are of same man power, and here we have two teams

A and B

B takes 13 hours to finish a task.

A&B takes 8.5 hours to finish same tasks

Hence it will take A 13-8.5=4.5 hours to complete the task

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3 years ago

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Look at the figure below:

Reptile [31]

Answer: third option.

Step-by-step explanation:

A tangent of a circle is defined as a line that touches that circle in exactly one point.

You can observe in the figure attached that:

The segment MN and the segment ST are not the tangent of the given circle, because this segments intersect it in two points.

The segment RO is the radius of the circle.

The segment PQ touches the circle in one point.

Therefore, the segment PQ is the tangent of the circle.

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