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Gnesinka [82]
3 years ago
6

All ball is thrown into the air with an upward velocity of 24 ft/s. Its height h in feet after t seconds is given by the functio

n h=-16t^2+24t+7. a. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball's maximum height?
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
7 0
//I'm going to use differentiation to show you how to do this, although I would normally use mechanics.

dh/dt = -32t + 24
-32t + 24 = 0 when maximum
32t = 24
t = 24/32
t = 3/4

//To find the maximum height just substitute "t" in

h = -16 (9/16) + 24(3/4) + 7
h = -9 + 18 + 7
h = 16ft
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please help me answer this please! I need it fast I need all three of these answers and please show your work! Thank you very mu
mars1129 [50]
15. In a similar figure the sides are proportional. So you have to say which ratio of sides is also proportional or which sides are equal to the fraction 44/35.2

it would be c because :
44/35.2 = 132/105.6

16. same thing with similar triangles. if the length of sides are similar then so is perimeter. So so we find the ratio of the side lengths. We we know sq is 6 and qt is 24. So st is 30. So so the line st and sq are matching and similar so we compare their lengths and get a ratio
sq * x = st
6 * x = 30
x = 5

So so the perimeter is 5 times more than small triangle so
5 * 20 = 100

17.similar side is 0.5 and 3.6 so ratio is 3.6/0.5. we know she is 1.8 talk so
1.8 * 3.6/0.5 = 12.96
5 0
3 years ago
Fill in the blanks to explain how Harry can check whether his solution is correct
Tresset [83]

<u><em>Answer is in bold</em></u>

Harry can first substitute 30 for t. He can then multiply \frac{1}{3} by 30 to get a product of 10. Since 15 is equal to 30 × 1/2, Harry's solution is not correct.

Hope this helps :)

Have a great day!

5 0
2 years ago
Use a benchmark fraction to compare 7 10 ths and 5 12 ths. Explain how you found the answer
elixir [45]
<span>Benchmark fractions are created when we make two different fractions have the same numerator or denominator. In thisi case, we will produce the same denominator. The LCM of 10 and 12 is 60. So the fractions become 42/60 and 25/60. Since the fraction with the larger numerator has a larger value when the denominators are the same, 7/10 is larger than 5/12.</span>
5 0
3 years ago
The value of polynomial 5x-4x^2+3, when x=-1<br>​
Alchen [17]

Answer:

-6

Step-by-step explanation:

\text{Given that,}\\\\5x-4x^2 +3 \\\\\text{When}~ x = -1,\\\\~~~5(-1) -4(-1)^2 +3 \\\\=-5-4(1)+3\\\\=-5-4+3\\\\=-5-1\\\\=-6

8 0
2 years ago
What the answer to this?
garik1379 [7]

Answer:

<h2>13</h2>

Step-by-step explanation:

9-5\div (8-3)\times 2+6\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(8-3\right)\::\quad 5\\=9-5\div \:5\times \:2+6\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:5\div \:5\times \:2\::\quad 2\\=9-2+6\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:9-2+6\:\\:\quad 13

7 0
3 years ago
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