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lora16 [44]
3 years ago
8

Find the scale factor of ABC to MNO.

Mathematics
1 answer:
timofeeve [1]3 years ago
5 0

Answer:

6/5

Step-by-step explanation:

The scale factor can be obtained by simply finding the ratio of the lenght of the side of one shape to the length of the same side of the other shape.

Thus, we can obtain the scale factor that will take us from △ABC to △MNO as illustrated below:

Original Length BC = 15 in

New Length NO = 18 in

Scale factor =?

Scale factor = New lenght NO / Original length BC

Scale factor = 18 / 15

Scale factor = 6/5

Therefore, the scale factor that will take us from △ABC to △MNO is 6/5.

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(4m + 7n) + (-3m + 12)

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(4m - 3m) + 7n + 12

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A scientist is studying the growth and development of an epidemic virus with a growth rate of 9% per month that has infected 3,1
4vir4ik [10]

Answer:

About 6,785 people will be infected about nine months.

Step-by-step explanation:

We can write an exponential function to represent the situation. The standard exponential function is given by:

\displaystyle f(x) = a(r)^x

Where <em>a</em> is the initial value, <em>r</em> is the rate, and <em>x</em>, in this case, is the time that has passed in months.

3,124 people have already been infected. Thus, our initial value <em>a</em> = 3124.

And an additional 9% will be infected per month. Therefore, our rate <em>r</em> will be 1 + 9% or 1.09.

Hence, our function is:

\displaystyle f(x) = 3124(1.09)^x

Then after nine months, the total amount of infected people will be f(9):

\displaystyle f(9) = 3124(1.09)^{(9)}

Use a calculator:

\displaystyle f(9) \approx 6785

About 6,785 people will be infected about nine months.

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