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BaLLatris [955]

4 years ago

5

chris has a bag of sweets. there are more than 20 sweets in the bag he shares his sweets equally between six people chris says,

"the number of sweets in the packet was prime." is he correct? circle: yes or no, explain your answer below.

1 answer:

Likurg_2 [28]4 years ago

3 0

No, this is because a prime number is an uneven number. So it can not be prime.

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The guidance department has reported that of the senior class, 2.3% are members of key club, K, 8.6% are enrolled in AP physics,

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6 days

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3 years ago

Calculate the l4 approximation for f(x) = cos2(x) on 8 , 2 . (round your answer to four decimal places.) l4 =

BaLLatris [955]

The solution for l4 is mathematically given as

L_{4}=0.5431

<h3>What is the solution for l4?</h3>

$&\text { Given } f(x)=a \cos ^{2}(x) \quad\left[\frac{\pi}{8}, \frac{\pi}{2}\right] \text { \& } n=4\\\\&\Delta a=\frac{b-a}{n}=\frac{\pi / 2-\pi / 8}{9}=\frac{3 \pi}{32}\\\\&x_{0}=\pi / 8, x_{1}=\frac{\pi}{8}+\frac{3 \pi}{32}=\frac{7 \pi}{32}\\\\&x_{2}=\frac{5 \pi}{16}, \quad x_{3}=\frac{13 \pi}{32}, x_{4}=\pi / 2\\\\&f\left(x_{0}\right)=f(1 / 8)=0.8535\\$

$&f\left(x_{1}\right)=f\left(\frac{7 \pi}{32}\right)=0.5975\\\\\&f\left(x_{2}\right)=f\left(\frac{5 \pi}{16}\right)=0.3086\\\\\&f\left(a_{3}\right)=f\left(\frac{13 \pi}{32}\right)=0.0842\\\\\&L_{4}=\sum_{k_{0}^{=0}}^{3} f\left(x_{k}\right) \Delta x\\\\&=\Delta \\\\x\left[f\left(x_{0}\right)+f\left(x_{1}\right)+f\left(x_{2}\right)+f\left(x_{3}\right)\right]\\\\\&=\frac{3 \pi}{32}[0.8535+0.5975+0.3056+0.0842]\\\\&L_{4}=0.5431$

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3 years ago

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