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Rom4ik [11]
3 years ago
8

a water balloon is tossed into the air with an upward velocity of 25 ft/s its height h(t) in ft after t seconds is given by the

function h(t) = -16t^2+25t+3 after how many seconds will the balloons hit the ground?
Mathematics
1 answer:
Montano1993 [528]3 years ago
4 0
When the height is 0 that is when it hits the ground
solve
0=-16t²+25x+3
cant factor so use quadratic formula

for
0=ax²+bx+c
x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}

so for
0=-16t²+25t+3
a=-16
b=25
c=3
so

x=\frac{-25+/-\sqrt{25^2-4(-16)(3)}}{2(-16)}
x=\frac{-25+/-\frac{625+192}}{-32}
x=\frac{-25+/-\frac{817}}{-32}
it has to be a positive time

so it will hit the ground after \frac{25+\sqrt{817}}{32} seconds
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Alexxandr [17]
What is your question?
5 0
3 years ago
I need help with #39-42, please explain.
shusha [124]

For question 39 & 40, we need to use the below equation to complete the sentence

l=m\sqrt{n}

Question 39:

When ' n ' increase, the \sqrt{n} will also increase and that multiplied with constant ' m ', the l will also increase.

Solution for question 39:

As n increases and m stays constant , l <u>increases</u>

-------

Question 40:

Solving the equation for m, we get

l = m\sqrt{n} \\ \\ m=\frac{l}{\sqrt{n}}

When ' l ' increases, the numerator increase, the denominator stays constant because 'n' stays constant, for this condition, the fraction increases.

Solution for question 40:

As l increase and n stays constant, m <em><u>increases</u></em>

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For question 41 & 42, we need to use the below equation to complete the sentence

r=s^2/t^2

Question 41:

When s is triped, the equation will be...

r=(3s)^2/t^2=\frac{3^{2}s^{2}}{t^2}   =9s^2/t^2

Solution for question 41:

If s is tripled and t stays constant, r is multiplied by <em><u>9</u></em>

--------

Question 42:

When t is doubled, the equation will be...

r=s^2/(2t)^2=\frac{s^2}{2^2 \cdot t^2}=\frac{s^2}{4t^2}\\   \\ r=0.25s^2/t^2 \; \; (or) \; \; \frac{1}{4} \cdot \frac{s^2}{t^2}

Solution for 42:

If t doubled and s stays constant, r is multiplied by <em><u>1/4 or 0.25</u></em>


3 0
3 years ago
What is the volume of a cone with diameter 21 m and height 4 m?
natima [27]

For this case we have by definition, that the volume of a cone is given by:

V = \frac {1} {3} * \pi * r ^ 2 * h

Where:

A: It is the cone radius

h: It's the height

They tell us that the diameter is 21 m, then the radius is half the diameter, that is: 10.5m. The height is 4m. Substituting the data:

V = \frac {1} {3} * \pi * (10.5) ^ 2 * 4\\V = \frac {1} {3} * \pi * 110.25 * 4\\V = 147 \pi.

Finally, the volume of the cube is147 \pi \ m ^ 3

ANswer:

Option B

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2 years ago
A pattern has 38 black squares to every 24 red squares. What is the ratio of black squares to red squares?
Nostrana [21]

Answer:

Step-by-step explanation:

38/24=19/12

6 0
1 year ago
Read 2 more answers
I need some help on this thanks!!!<br><br><br><br><br><br><br><br> -
Alexxandr [17]

Answer:

The 4th option, 10g + 24 = t

Step-by-step explanation:

It costs 24 dollars per month no matter what.

$10 * the amount of GB you want

Add those two values to get the total cost per month.

In this case you want 5 GB, so substitute the g in the equation for 5. You will get:

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So it costs 74 dollars per month to get 5 GB.

3 0
3 years ago
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