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djverab [1.8K]
3 years ago
9

Adrienne answered all 21 multiple choice questions correctly on her science test, if her teacher decides to let one of the quest

ions count as a bonus,with the same number of points as the other problems on the test,what was Adrienne's score write your answer as a decimal and as a percent.
Mathematics
1 answer:
trapecia [35]3 years ago
4 0
105.0, 105%.
If one question is bonus, there are technically 20 questions on the test; 100/20 is 5, so each question is worth 5 points. 105 is 105% of 100.
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Math question #1 please show steps
-Dominant- [34]

Answer:

C

Step-by-step explanation:

An approximation of an integral is given by:

\displaystyle \int_a^bf(x)\, dx\approx \sum_{k=1}^nf(x_k)\Delta x\text{ where } \Delta x=\frac{b-a}{n}

First, find Δx. Our a = 2 and b = 8:

\displaystyle \Delta x=\frac{8-2}{n}=\frac{6}{n}

The left endpoint is modeled with:

x_k=a+\Delta x(k-1)

And the right endpoint is modeled with:

x_k=a+\Delta xk

Since we are using a Left Riemann Sum, we will use the first equation.

Our function is:

f(x)=\cos(x^2)

Therefore:

f(x_k)=\cos((a+\Delta x(k-1))^2)

By substitution:

\displaystyle f(x_k)=\cos((2+\frac{6}{n}(k-1))^2)

Putting it all together:

\displaystyle \int_2^8\cos(x^2)\, dx\approx \sum_{k=1}^{n}\Big(\cos((2+\frac{6}{n}(k-1))^2)\Big)\frac{6}{n}

Thus, our answer is C.

*Note: Not sure why they placed the exponent outside the cosine. Perhaps it was a typo. But C will most likely be the correct answer regardless.

5 0
3 years ago
What is the problem of 200 and 400
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3 years ago
S19for 11 + 19 + 27 + 35 +...
MrRissso [65]

8 is the answer because it goes 11 and if you add 8 it becomes 19 add 8 it becomes 27 add 8 35 add 8 43

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3 years ago
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