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olga nikolaevna [1]
3 years ago
5

The formula a=46c gives the floor area a in square meters that can be wired using c circuit

Mathematics
1 answer:
kramer3 years ago
6 0
a=46c
\\
\\c= \frac{a}{46} 
\\
\\
\\a=322
\\
\\c= \frac{322}{46} 
\\
\\c=7
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A number, y, is five times another number, x. The sum of the two numbers is 42. Write the system of equations.
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Answer:

5x+x=42

6x=42

x=7

Step-by-step explanation:

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The blank spaces about the passage can be filled with the following correct vocabulary respectively.

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<h3>Inequality</h3>

An <u>inequality</u> is a relation between two numbers and/or expressions that are related via <, >, ≥ or ≤ sign.

A <u>strict inequality</u> is an expression that uses < and >. It tells us that one side is only more or less than the other side.

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A pumpkin is launched directly upwards at 72 feet per second from a platform 24 feet high. The pumpkins height, h, at time t sec
STALIN [3.7K]

Answer: Maximum height =  105 feet

And, It takes 9/4 seconds to reach that point.

Step-by-step explanation:

Here the given function that shows the height of the pumpkin,

h(t) = -16t^2 + 72t + 24 --------(1)

Where t is the time in second.

Differentiating equation (1) with respect to t,

We get,    h'(t) = -32 t + 72

Again differentiating above equation with respect to t,

We get,   h''(t) = -32

For maximum or minimum,    h'(t) = 0

- 32 t + 72 = 0

32 t = 72

t = \frac{9}{4}

At t = 9/4 , h''(t) = Negative value,

Therefore, At t = 9/4 seconds, h(t) is maximum,

And, the maximum value is,

h(\frac{9}{4} ) = -16(\frac{9}{4})^2 + 72(\frac{9}{4}) + 24

h(\frac{9}{4} ) = -16(\frac{81}{16})+ 72(\frac{9}{4}) + 24

h(\frac{9}{4} ) = -81 + 162 + 24=105

Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds

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