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Cloud [144]
3 years ago
10

A. 5pi/6 B. 8pi/6 C. 3pi/6 D. 13pi/6

Mathematics
1 answer:
MakcuM [25]3 years ago
8 0

Answer:

Step-by-step explanation:

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Find the average value of the function f(x)=−4sin(x) on the interval [π2,3π2] and determine a number c in this interval for whic
Ber [7]

Answer:

Step-by-step explanation:

The average value theorem sets:

if f (x) is continuous in [a, b] and derivable in (a, b) there is a c Є (a, b) such that

\frac{f(b)-f(a)}{b-a}=f'(c) , where

f(a)=f(π/2)=-4*sin(π/2) = -4*1= -4

f(b)=(3π/2)=-4*sin(3π/2) = -4*-1 = 4

\frac{4-(-4)}{(3\pi/2)-(\pi/2)}=f'(c)

\frac{8}{\pi }=f'(c)

f'(x)=-4cos(x) ⇒

f'(c)=-4cos(c)=\frac{8}{\pi }\\c=acos(\frac{-2}{\pi })\\

c≅130

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3 years ago
If a student didn’t understand proportional relationships, how would you explain it to them?
kirill [66]

Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent.

Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

I really recommend watching Khan Academy's video over proportional relationships, the speaker explains it very well!!

7 0
3 years ago
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Can you find the values of A and B please.
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3z

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Step-by-step explanation:

8 0
2 years ago
I NEED HELP ASAP PLEASE NO LINKS!!!
Ludmilka [50]

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1/8

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I looked it up lol

8 0
3 years ago
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Your English teacher has decided to randomly assign poems for the class to read. The syllabus includes four poems by Shakespeare
Tresset [83]
The probability of event A and B to both occur is denoted as P(A ∩ B) = P(A) P(B|A). It is the probability that Event A occurs times the probability that Event B occurs, given that Event A has occurred.

So, to find the probability that you will be assigned a poem by Shakespeare and by Tennyson, let Event A = the event that a Shakespeare poem will be assigned to you; and let Event B = the event that the second poem that will be assigned to you will be by Tennyson.

At first, there are a total of 13 poems that would be randomly assigned in your class. There are 4 poems by Shakespeare, thus P(A) is 4/13.
After the first selection, there would be 13 poems left. Therefore, P(B|A) = 2/12
Based on the rule of multiplication,
P(A ∩ B) = P(A) P(B|A)P(A ∩ B) = 4/13 * 2/12
P(A ∩ B) = 8/156
P(A ∩ B) = 2/39

The probability that you will be assigned a poem by Shakespeare, then a poem by Tennyson is 2/39 or 5.13%.
6 0
3 years ago
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