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julsineya [31]
3 years ago
14

Based on the data below, predict the number of square kilometers of land that will be occupied by inch worms in 50 years.

Mathematics
1 answer:
Feliz [49]3 years ago
6 0

Answer:

After 50 years, the inch worms will occupy about 1,709,102 square kilometers.

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Find the coefficient of x^4 in the expansion of (1 + 2x + 3x^3)^10?
Lesechka [4]
(1+2x+3x^3)^{10}

The only possible configurations of terms that contribute to generating the x^4 term in the expansion are given by the multinomial theorem to be

\left(\dbinom{10}{6,4,0}(1)^6(2x)^4(3x^3)^0+\dbinom{10}{8,1,1}(1)^8(2x)^1(3x^3)^1\right)x^4

where

\dbinom{10}{k_1,\ldots,k_m}=\dfrac{10!}{k_1!\cdots k_m!}

Simplifying a bit gives a coefficient of

\dbinom{10}{6,4,0}(2)^4+\dbinom{10}{8,1,1}(2)(3)
16\dbinom{10}{6,4,0}+6\dbinom{10}{8,1,1}
16\dfrac{10!}{6!4!0!}+6\dfrac{10!}{8!1!1!}
16(5\times3\times2\times7)+6(10\times9)=3900
3 0
3 years ago
A bike shop marks up a hybrid bike from $200 to $330 and discounts a road bike from 330 to 200 by what you percent is the road b
erik [133]

Answer:

39.39%

Step-by-step explanation:

There's a nice little formula that is used to find percentage change which works regardless of if it's an increase or decrease.

Percent~Change = |\frac{New~Value~-~Original~Value}{Original~Value}| * 100

1 - Understanding the equation

The '|'s which are surrounding the fraction are absolute value symbols in mathematics,

Absolute value means the positive value of anything inside

<u>Examples</u>:

| -8 | = 8

| 8 |  = 8

and

| -2 | = 2

| 2 |  = 2

the * 100 means you multiply (the * symbol means multiply) by 100.

We do this to get it into a percent.

3 - Assign numbers to the values from our equation

Original Value (What it changed from): 330

New Value (What it changed to): 200

3 - Plug in our values into our variables from our equationPercent~Change = |\frac{200-330}{330}| * 100 = |\frac{-130}{330}| = = |-0.39...| * 100 = 0.3939... *100 =

<em>Our percent change is 39.39%, and with our percent in which is discounted being the same, we have our answer.</em>

<em />

Hope this helps :)

7 0
3 years ago
How do I do this plz help me out
Nataliya [291]
It's saying that B is equal to 1, and c is equal to 4. So your gonna square B (multiply it by itself) and add c. Make sense?
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3 years ago
The graph of f(x) = log x + 3
omeli [17]

Answer:

add 3 to they coordinate

Just took this

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3 years ago
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When you draw an image in the right triangle, is it always reflected?
vitfil [10]
No, because the image can be drawn backwards
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