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svp [43]
2 years ago
9

Cindy shoots a bottle rocket straight up into the air such that its height h, in feet, at time t, in seconds, is given by the fu

nction h of t = negative 16 times t squared plus 85 t + 5.. During what interval will the rocket be at least 43 feet above the ground?
Mathematics
1 answer:
dezoksy [38]2 years ago
6 0

Answer:

t = [0.493,4.2]

Step-by-step explanation:

The height of the rocket straight up into the air is given by :

h(t)=-16t^2+85t+5

We need to find the interval the rocket be at least 43 feet above the ground.

43\ge -16t^2+85t+5\\\\t\ge 0.493\ and\ t\le 4.82\ s

So, the required interval during which the rocket is at least 43 feet above the ground is [0.493,4.2].

You might be interested in
i need help with this questions asap please. A grocery clerk is making a display of oranges. The numbers of oranges in the layer
ahrayia [7]

Answer:

If there is 1 at the top, then you have 1, then 2, then 3, etc.

total number of oranges equals:

1 + 2 + 3 + ... + 16 + 17 + 18 <-- stop at  18 because this is the number of oranges at the base

You can use the formula:

sum of first n numbers = n*(n + 1)/2

-->

18*19/2 = 9*19 = 171

or you can figure it out (basically derive the above formula):

you have:

1 + 18 = 19

2 + 17 = 19

3 + 16 = 19

...

How many pairs do you have?  Well, it's just the number of numbers: 1-18 = 18 numbers (divide by 2) = 9 pairs)

9 pairs of 19 = 9 * 19 = 171

Hope this helps!

Step-by-step explanation:

3 0
3 years ago
Which expression has the same value as 9,381x5?
elena55 [62]

Answer: C) (9000x5) + (300x5) + (8~5) + (1x5)

Step-by-step explanation:

First Find what 9381 times 5 is.

9381x5=46108

Now Find out all the equations.

9000x5= 45000

300x5=1500

8-5=3

1*5=5

Now Add it all up.

45000+1500=46100

46100+3=46103

46103+5=46108

So, Your Answer is (C)

Your Welcome.

3 0
2 years ago
An observer stands 25 feet from the base of a flagpole and watches a flag being lowered at a rate of 5 ft/sec. Determine the rat
Sedaia [141]

Answer:

0.1 rad/s

Step-by-step explanation:

Since the distance from or to the flagpole is not given, I will assume. And my assumption is 50 ft

Now, the elevation angle A = 45 degrees, converting to radians, we have π/4 radians

Remember that the tan of an angle is OPP/HYP, and so

tan A = h/25, on differentiating, we have

d tan A/dA = sec^2 A = (1/25) dh/dA

Next, we have

25 sec^2 A * dA/dt= dh/dt = 5

Making dA/dt the subject of formula, we have

dA/dt = (1/5) cos^2 A

but cos^2 A from trigonometry = 1/2, this means that

dA/dt = .1 radians/second

If you want to convert to degrees, your have

.1 Rad/s( 180 deg/rad) = 18 degrees/second

3 0
2 years ago
Dan sold 40 concert tickets in 5 days. Each day he sold 3 tickets more than the previous day the number of tickets he sold on th
adoni [48]
56
step my step:
multiply add divide
5 0
2 years ago
If angle 1 = angle 2 and angle 2 = angle 4, what property allows you to state that angle 1 = angle 4
Gnesinka [82]

Answer:

Transitive Property

Step-by-step explanation:

You can use it for example: a = b. b = c. So a = c (Transitive Property).

6 0
3 years ago
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