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Valentin [98]
3 years ago
11

Simplify 15 to the 18th power over 15 to the 3rd power.

Mathematics
1 answer:
worty [1.4K]3 years ago
3 0
The rule for quotients of similar bases with different exponents is:

(a^c)/(a^b)=a^(c-b)  in this case:

15^18/(15^3)=15^15


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The average of six numbers is 4. If the of two of those numbers is 2, what is the average of the other four numbers?
matrenka [14]

Answer:

5

Step-by-step explanation:

total sum of the 6 numbers

= 4 ×6

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sum of numbers without the two 2s

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= 20

average of other 4 numbers

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Given the equation y = 2 x - 8, what is the slope and the y -intercept?
jeka94

Answer:

m=2 and b=-8

Step-by-step explanation:

This equation is organized in slope-intercept form, y=mx+b. In this form, m is the slope and b is the y-intercept.

When given the equation, y=2x-8, we can see that 2 is in the place of m and -8 is in the place of b. The reason the y-intercept isn't 8 is that y=2x-8 can be written as y=2x+(-8) since y=mx+b involves addition. Therefore, the slope is 2 and the y-intercept is -8.

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I hope this helps!

4 0
3 years ago
A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graph
natima [27]

Answer:

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The graph is in the image attached

Step-by-step explanation:

The function that models this growth is an exponencial function, that can be described with the following equation:

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Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).

Then, using a = 40, r = 2 and n = 2, we have:

y = 40 * 2^(x/2)

If we plot this function, we have the graph shown in the image attached,

It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.

7 0
3 years ago
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