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Aneli [31]
3 years ago
15

In science class, the students were asked to create a container to hold an egg. They would drop this container from a window tha

t is 25 feet above the ground. If the equation of the container's pathway can be modelded the equation h=-16t^2+25 , how long will it take the container to reach the ground?
Mathematics
1 answer:
Rama09 [41]3 years ago
6 0

Answer:

7.8 seconds

Step-by-step explanation:

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The average heights of x number of girls and 15 boys is 123. if the average heights of boys is 125 and that of girls is 120.find
mamaluj [8]

Answer:

x = 10. In other words, there number of girls is 10.

Step-by-step explanation:

The average of a number of measurements is equal to the sum of these measurements over the number of measurements.

\displaystyle \text{Average} = \frac{\text{Sum of measurements}}{\text{Number of measurements}}.

Rewrite to obtain:

\begin{aligned}& \text{Sum of measurements}= (\text{Number of measurements}) \times (\text{Average}) \end{aligned}.

For this question:

\begin{aligned}& \text{Sum of heights of boys} \\ &= (\text{Number of boys}) \times (\text{Average height of boys}) \\ &= 15 \times 125 = 1875\end{aligned}.

\begin{aligned}& \text{Sum of heights of girls} \\ &= (\text{Number of girls}) \times (\text{Average height of girls}) \\ &= x \times 120 = 120\, x\end{aligned}.

Therefore:

\begin{aligned}& \text{Sum of boys and girls} \\ &= \text{Sum of heights of boys} + \text{Sum of heights of girls}\\ &= 1875 + 120\, x\end{aligned}.

On the other hand, there are (15 + x) boys and girls in total. Using the formula for average:

\begin{aligned}& \text{Average height of boys and girls} \\ &= \frac{\text{Sum of heights of boys and girls}}{\text{Number of boys and girls}} \\ &= \frac{1875 + 120\, x}{15 + x}\end{aligned}.

From the question, this average should be equal to 123. In other words:

\displaystyle \frac{1875 + 120\, x}{15 + x} = 123.

Solve this equation for x to obtain:

1875 + 120\, x= 123\, (15 + x).

(123 - 120)\, x = 1875 - 123 \times 15.

x = 10.

In other words, the number of girls here is 10.

5 0
3 years ago
Help please this is do soon I will mark brainliest
Fed [463]

Answer:

(-3,2)

Step-by-step explanation:

when reflecting over the y axis all you have to do is flip the signs on the x values so it would be (-3,2)

4 0
2 years ago
Explain how to use absolute value to find the distance between (-2,-2) and (-2,5)
dem82 [27]
The absolute value of a number is its distance away from zero. Depending on how far away a number is, it has a less or greater absolute value. (-2,-2) have the same absolute value while (-2,5) have a different absolute value. Which has a greater absolute value? -25 or 6? The answer: -25, it is farther away from zero.
6 0
3 years ago
the graph shows the equation x^2+y^2=5 use the slider for a to move the vertical line on the graph based on the vertical line te
SSSSS [86.1K]

Answer:

Not a function.

Step-by-step explanation:

The vertical line touches the graph at more than one point at once.

4 0
1 year ago
Identify the slope in -4x+3y=26​
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-4 is the slope in the equation
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3 years ago
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