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rosijanka [135]
1 year ago
8

The graph of a sine function g(x) is presented below.

Mathematics
1 answer:
NISA [10]1 year ago
3 0

Solution

To determine the vertical translation

We need to determine the amplitude

The amplitude is

\frac{10-4}{2}=\frac{6}{2}=3

Since the minimum is 4

Hence, the Vertical shift is 3+4 = 7

Part B

Given f(x) = 4 sin(θ - 45) + 8

The vertical translation is 8

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Solve S = 2tr(h + r) for h.
Ivanshal [37]

Answer:

7h

Step-by-step explanation:

4 0
3 years ago
3x − 6y = –6 x = 2 solve using substitution.
nordsb [41]

Answer:

y=2

Step-by-step explanation:

First, you substitute x with 2.

3(2)-6y=(-6)

Then, you multiply:

6-6y=(-6)

Next, you subtract 6 from -6. So, the first 6 gets crossed out because of inverse of operation.

-6y=-12

Finally, you divide -6 to both sides of the equation to get y=2

3 0
3 years ago
each of the 20 balls is tossed independently and at random into one of the 5 bins. let p be the probability that some bin ends u
amm1812

if p is the probability that some bin ends up with 3 balls and q is the probability that every bin ends up with 4 balls. pq is 16.

First, let us label the bins with 1,2,3,4,5.

Applying multinomial distribution with parameters  n=20  and  p1=p2=p3=p4=p5=15  we find that probability that bin1 ends up with 3, bin2 with 5 and bin3, bin4 and bin5 with 4 balls equals:

5−2020!3!5!4!4!4!

But of course, there are more possibilities for the same division  (3,5,4,4,4)  and to get the probability that one of the bins contains 3, another 5, et cetera we must multiply with the number of quintuples that has one 3, one 5, and three 4's. This leads to the following:

p=20×5−2020!3!5!4!4!4!

In a similar way we find:

q=1×5−2020!4!4!4!4!4!

So:

pq=20×4!4!4!4!4!3!5!4!4!4!=20×45=16

thus, pq = 16.

To learn more about Probability visit: brainly.com/question/29508225

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7 0
1 year ago
Write the explicit formula for the geometric sequence 2, 8, 32, 128
Alja [10]
The first term, a, is 2.  The common ratio, r, is 4.  Thus,

a_(n+1) = 2(4)^(n).

Check:  What's the first term?  Let n=1.  Then we get 2(4)^1, or 8.  Is that correct?  No.

Try this instead:

a_(n) = a_0*4^(n-1).  Is this correct?    Seeking the first term (n=1), does this formula produce 2?      2*4^0 = 2*1 = 2.  YES.

The desired explicit formula is   a_(n) = a_0*4^(n-1), where n begins at 1.


3 0
3 years ago
you and four friends go to johnny rockets. you all split the bill equally. each person share was $6.50. how much was the origina
notka56 [123]
$26 is the answer to the question
7 0
3 years ago
Read 2 more answers
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