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denpristay [2]
3 years ago
14

When the piggy bank was opened, it yielded $4.75 in nickels and pennies. If there were 175 coins in all, how many were nickels a

nd how many were pennies
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
8 0
100 were pennies : $1
75 were nickels: $3.75
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Simplify fully V8 x V18
MariettaO [177]

Answer:

12

Step-by-step explanation:

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\sqrt{144}=12

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3 years ago
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Design a sine function with the given properties:
Rom4ik [11]

Answer:

f(x)=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13.

Step-by-step explanation:

Given information:

Period = 24 hr

Maximum = 16 at t=16 hr.

Minimum = 10 at t=4 hr.

The general sin function is

y=A+\sin(B(x-C))+D        .... (1)

where, |A| is altitude, \frac{2\pi}{B} is period, C is phase shift and D is midline.

Period is 24 hr.

24=\dfrac{2\pi}{B}\Rightarrow B=\dfrac{\pi}{12}

Altitude is

A=\dfrac{Maximum-Minimum}{2}=\dfrac{16-10}{2}=3

D=\dfrac{Maximum+Minimum}{2}=\dfrac{16+10}{2}=13

The function is minimum at t=4 and maximum at t=16,phase shift is

C=\dfrac{16+4}{2}=10

Substitute these values in equation (1).

y=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13

Therefore, the required function is f(x)=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13.

8 0
3 years ago
PLS PLS I NEED HELP I HAVE NO TIME I'LL MARK YOU BRAINLIST !!!
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Answer:

1) y = 5/2x - 3/2

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Step-by-step explanation:

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(1, 1) and (3, 6)

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m= (6 - 1)/(3-1)

m= 5/2

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2)

(2, 0) and (7, 2)

m = (y2 - y1)/(x2 - x1)

m= (2 - 0)/(7 - 2)

m = 2/5

y - y1 = m(x - x1)

y - 0 = 2/5(x - 2)

y = 2/5x - 4/5

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2 years ago
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Vlad1618 [11]

Answer:

The answer is point C

Step-by-step explanation:

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storchak [24]

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