2/3 cup of oatmeal - 10 granola bars
When the number of cups of oatmeal increases, the number of granola bars also increases.
If you use for example twice as many cups of oatmeal, you'll make twice as many granola bars.
Therefore, the first step is to calculate how many times 20 cups of oatmeal is more than 2/3 cup of oatmeal. To do it, divide 20 by 2/3.
![20 \div \frac{2}{3} = 20 \times \frac{3}{2}=\frac{60}{2}=30](https://tex.z-dn.net/?f=20%20%5Cdiv%20%5Cfrac%7B2%7D%7B3%7D%20%3D%2020%20%5Ctimes%20%5Cfrac%7B3%7D%7B2%7D%3D%5Cfrac%7B60%7D%7B2%7D%3D30)
You have 30 times as many cups of oatmeal, so you'll make 30 times as many granola bars.
![10 \times 30= 300](https://tex.z-dn.net/?f=10%20%5Ctimes%2030%3D%20300)
300 granola bars can be made with 20 cups of oatmeal.
Answer: 15
<u>Step-by-step explanation:</u>
small: 5 12 13
middle: __ 36 39
large: 45 108 117
Notice that to get from the small to the large, multiplied by 9
5(9) = 45 12(9) = 108 13(9) = 117
That is because the sides are proportional
To get from small to middle, multiply by 3
5(3) = 15 12(3) = 36 13(3) = 39
To solve it using proportions:
![\dfrac{5}{x}=\dfrac{12}{36}\\\\\\\text{Cross Multiply and solve for x:}\\5(36)=12x\\\\\dfrac{5(36)}{12}=x\\\\5(3)=x\\\\\large\boxed{15}=x](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7Bx%7D%3D%5Cdfrac%7B12%7D%7B36%7D%5C%5C%5C%5C%5C%5C%5Ctext%7BCross%20Multiply%20and%20solve%20for%20x%3A%7D%5C%5C5%2836%29%3D12x%5C%5C%5C%5C%5Cdfrac%7B5%2836%29%7D%7B12%7D%3Dx%5C%5C%5C%5C5%283%29%3Dx%5C%5C%5C%5C%5Clarge%5Cboxed%7B15%7D%3Dx)
Answer:
(2, -4)
Step-by-step explanation:
I did some research.
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<Jayla>
Answer:
![\bf cos(x)\approx1-\displaystyle\frac{x^2}{2}+\displaystyle\frac{x^4}{4!}=\\\\=1-\displaystyle\frac{x^2}{2}+\displaystyle\frac{x^4}{24}](https://tex.z-dn.net/?f=%5Cbf%20cos%28x%29%5Capprox1-%5Cdisplaystyle%5Cfrac%7Bx%5E2%7D%7B2%7D%2B%5Cdisplaystyle%5Cfrac%7Bx%5E4%7D%7B4%21%7D%3D%5C%5C%5C%5C%3D1-%5Cdisplaystyle%5Cfrac%7Bx%5E2%7D%7B2%7D%2B%5Cdisplaystyle%5Cfrac%7Bx%5E4%7D%7B24%7D)
The polynomial is an approximation with an error less than or equals to <em>0.002652</em> for x in the interval
[-1.113826815, 1.113826815]
Step-by-step explanation:
According to Taylor's theorem
with
for some c in the interval (-x, x)
In the particular case f
<em>f(x)=cos(x)
</em>
<em>
</em>
we have
therefore
and the polynomial approximation of T5(x) of cos(x) would be
In order to find all the values of x for which this approximation is within 0.002652 of the right answer, we notice that
for some c in (-x,x). So
and we must find the values of x for which
Working this inequality out, we find
Therefore the polynomial is an approximation with an error less than or equals to 0.002652 for x in the interval
[-1.113826815, 1.113826815]
Answer:
35
Step-by-step explanation:
15 plus 10 equals 25.
25 plus 10 equals 35.
Hope it helps!