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Anni [7]
3 years ago
15

Stuart Rosenblatt earned a gross salary of $800 in one week. He received a paycheck that showed that taxes and other deductions

of $206.75 were subtracted from his gross salary.
What was the net amount of Stuart’s paycheck
Mathematics
1 answer:
melisa1 [442]3 years ago
5 0
Hdidhdusojsgejsidhdhefudjdmjd
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A Ferris Wheel is built such that the height in feet above ground of a seat on the wheel at time t seconds can be modeled by h(t
MAVERICK [17]

Answer:

at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

Step-by-step explanation:

Data provided in the question:

height in feet above ground of a seat on the wheel at time t seconds is

modeled as

h(t) = 53 + 50\sin((\frac{\pi t}{16} - \frac{\pi}{2})

now,

at height 53 above the ground, we get the equation as:

53 = 53 + 50\sin(\frac{\pi t}{16} - \frac{\pi}{2})

or

50\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 53 - 53

or

\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

also,

sin(0) = 0

and,

sin(π) = 0

therefore,

(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

or

\frac{\pi t}{16} = \frac{\pi}{2}

or

t = 8 seconds

and,

(\frac{\pi t}{16} - \frac{\pi}{2}) = π

or

\frac{\pi t}{16}= \pi + \frac{\pi}{2}

or

\frac{\pi t}{16}= \frac{3\pi}{2}

or

t = 24 seconds

Hence,

the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

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3 years ago
Ayita made 5 1/2 cups of trail mix. She want to divide the trail mix into 3/4 cup servings.How many servings will she have?
lara [203]

Answer:

7

Step-by-step explanation:


3 0
3 years ago
TriangleA′B′C′ is the image of triangleABC after a dilation.
hammer [34]

Answer:

Step-by-step explanation:

The image A’B’C’ is scaled down by a factor of 1/3

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Please help asap. 45 points
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Write the next three terms in the pattern. What is each pattern rule?
Lelechka [254]
-70, -100, +20


Step by step explanation: Follow the pattern.
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