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Delvig [45]
3 years ago
14

Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equatio

n h=−16(t−14)2+49, where t is the time (in seconds) after he throws the marshmallow. What is the maximum height of the marshmallow? Enter your answer as the correct value, including units, like this: 42 meters Be sure to use the correct units from the context of the problem.
Mathematics
1 answer:
rosijanka [135]3 years ago
3 0

Answer:

49 ft

Step-by-step explanation:

h=−16(t−14)^2+49

The path of the marshmallow is an inverted parabola. It has symmetry with respect to its vertical axis.

We take the derivative of the height function.

dh/dt = -32(t - 14)

dh/dt = -32t + 448

We set the derivative equal to zero ti find the value of t corresponding to a maximum value of h.

-32t + 448 = 0

-32t = -448

t = 14

Maximum height occurs at t = 14 seconds.

h=−16(t−14)^2+49

t = 14

h=−16(14−14)^2+49

h = 49

Maximum height is 49 feet.

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Mama L [17]

Answer: 4

4 is the correct answer




5 0
3 years ago
a. Un equipo de tenis de mesa ganó 21 juegos y perdió 12 juegos, ¿cuál es la razón entre ganados y perdidos?
True [87]

Answer:

The ratio between won and lost is \frac{7}{4}

Step-by-step explanation:

<u><em>The question in English is</em></u>

A table tennis team won 21 games and lost 12 games, what is the ratio between won and lost?

Let

x ------> the number of games won

y -----> the number of games lost

we have

x=21\ games

y=12\ games

we know that

To find the ratio divide the number of games won by the number of games lost

so

\frac{x}{y}

substitute the values

\frac{21}{12}

Simplify

\frac{7}{4}

4 0
3 years ago
Give an equation that goes through the line 3,-1 that is parallel to 6x-5
allochka39001 [22]
Lines that are parallel have the same slope, and the given line (y = 6x - 5) has a slope of 6; we are looking for a line with a slope of 6.
To form an equation for a line, you need to know the y-intercept (the point at which the line intersects the y-axis). The first step to finding the y-intercept is to plot the given point. After you've done that, count six units up (this is our slope) and one to the right; plot the point. Lastly, draw the line by connecting the points and see where the line intersects the y-axis.
My graph shows that the line intersects the y-axis at -17. All that's left now is to put our information together into an equation. I'm assuming the problem wants the equation in slope-intercept form; slope-intercept form is y = mx + b where m is the slope and b is the y-intercept, so it would look like this:
y = 6x -17

Hope this helps.
8 0
3 years ago
Read 2 more answers
A basketball team took a total of 100 shots. One player took 70% of all 100 shots, and
NemiM [27]

The player took a total of 70 shots and missed about 28 shots.

<h3>Percentage</h3>

Percentage is used in expressing a fraction number or decimal in fraction of 100. It is expressed using the '%' sign.

Given a total shot of 100, since the player took 70% of the shot, hence:

Total shot taken by the player = 70% of 100 = 0.7 * 100 = 70 shots.

Total shot shot missed = (100% - 60%) of 70 = 40% of 70 = 0.4 * 70 = 28 shots.

The player took a total of 70 shots and missed about 28 shots.

Find out more on Percentage at: brainly.com/question/24304697

4 0
2 years ago
Read 2 more answers
Solve The Equation Below
Flura [38]

Answer:

16

Step-by-step explanation:

10 + sqrt(y) = 14

Subtract 10 from each side

10 -10+ sqrt(y) = 14-10

sqrt(y) = 4

Square each side

(sqrt(y)) ^2 = 4^2

y = 16

4 0
3 years ago
Read 2 more answers
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