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Ann [662]
3 years ago
6

Sebastion also completed the math problem, but his time is not on the timeline plot. When Sebastion's time is placed on the line

plot, the total time for all of the students combined will be 8 minutes. How many minutes did it take Sebastion to complete the math problem? Explain how you found your answer.
Mathematics
1 answer:
Alla [95]3 years ago
4 0
Can you show me the timeline plot?
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Find the trigonometric integral. (Use C for the constant of integration.)
Olin [163]

Suppose we let u=\sin\theta+\cos\theta, so that \mathrm du=(\cos\theta-\sin\theta)\,\mathrm d\theta.

Also, recall the double angle identity for cosine:

\cos(2\theta)=\cos^2\theta-\sin^2\theta=(\cos\theta-\sin\theta)(\cos\theta+\sin\theta)

So, we can rewrite and compute the integral using the substitution, as

\displaystyle\int\cos(2\theta)(\sin\theta+\cos\theta)^3\,\mathrm d\theta

=\displaystyle\int u\cdot u^3\,\mathrm du

=\displaystyle\int u^4\,\mathrm du

=\dfrac{u^5}5+C

=\boxed{\dfrac{(\cos\theta+\sin\theta)^5}5+C}

4 0
3 years ago
What is the advantage of using<br> scientific names, instead of common<br> names?
Aleksandr-060686 [28]

Answer:

the scientific name is the same name around the world and if you use common names they are different around the world

Step-by-step explanation:

8 0
3 years ago
Using the discriminatory, determine the number of real solution 2x^2+7x-15=0
Scilla [17]

Answer:

c. two real solutions

Step-by-step explanation:

x = -5 , x = 1.5

6 0
3 years ago
When three times the sum of a number and seven is increased by ten, the result is four. What is the number ?
densk [106]

Answer:

x=9   :))

Step-by-step explanation:

First set up your equation.

"3 times" is multiplication

"THE SUM of A NUMBER and seven" that is parenthesis because of the multiplication before it

"is increased by ten" that is an addition at the end

Now we have 3(x+7)+10=4

Solve your equation!

Distribute the 3 now we have 3x+21+10=4

Add like terms

now it should look like this... 3x+31=4

Subtract 31 from both sides and it looks like...

3x=27

Divide by the x-value

x=9

4 0
3 years ago
brainliest goes to whoever answers the question correctly also if you want more points answer my other questions
Sergeeva-Olga [200]

Answer:

A and B are functions

Step-by-step explanation:

for A, none of the x's repeat which makes it a FUNCTION

for B, when it starts with x^2, it will always be a FUNCTION (its a quadratic)

for C, 10 repeats for the x so it is NOT A FUNCTION

4 0
3 years ago
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