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irina [24]
3 years ago
13

Eyjafjallajökull is a volcano in Iceland. Ina research reuption a projectile is ejected with an initial velcony of 304 feet per

second. The height H, in feet is given the equation H=16t^2 + 304t
Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0

Answer:

t = 9.5 seconds

Step-by-step explanation:

Given that,

The initial velocity of the projectile is 304 ft/s

The height of the projectile is given by :

H=16t^2 + 304t

For maximum height,

Put h' = 0

h'=-32t+304

or

-32t+304=0\\\\t=\dfrac{304}{32}\\\\t=9.5 \ s

So, the time taken to reach the maximum height is 9.5 seconds.

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sweet-ann [11.9K]
1] Given that the value of x has been modeled by f(x)=12500(0.87)^x, then:
the rate of change between years 1 and 5 will be:
rate of change is given by:
[f(b)-f(a)]/(b-a)
thus:
f(1)=12500(0.87)^1=10875
f(5)=12500(0.87)^5=6230.3
rate of change will be:
(6230.3-10875)/(5-1)
=-1161.2
 rate of change in years 11 to 15 will be:
f(11)=12500(0.87)^11=2701.6
f(15)=12500(0.87)^15=1,547.74
thus the rate of change will be:
(1547.74-2701.6)/(15-11)
=-288
dividing the two rates of change we get:
-288/-1161.2
-=1/4
comparing the two rate of change we conclude that:
The average rate of change between years 11 and 15  is about 1/4  the rate between years 1 and 5.
The answer is D]
2] Given that the population of beavers decreases exponentially at the rate of 7.5% per year, the monthly rate will be:
monthly rate=(n/12)
where n is the number of months
=7.5/12
=0.625
This is approximately equal to 0.65%. The correct answer is A. 0.65%

7 0
3 years ago
Which set of ordered pairs represents a function? {(0, 1), (1, 3), (1, 5), (2, 8)} {(0, 0), (1, 2), (2, 6), (2, 8)} {(0, 0), (0,
11111nata11111 [884]

Answer: {(0, 2), (1, 4), (2, 6), (3, 6)}

Step-by-step explanation:

For a relation to be considered a function, each x-value needs to have one corresponding y-value--it cannot have more than 1.

Since all the other sets of ordered pairs feature points with two x-values with different y-values, the set above is the only function of the provided options.

4 0
3 years ago
At pretend highschool there are 325 boys and 275 girls.
RideAnS [48]

Answer:

13:11

Step-by-step explanation:

325:275

If divided by 5 all through, you get 65:55, then by 5 again you get 13:11

7 0
3 years ago
Read 2 more answers
Solve for E. <br><br>h=E/mg​
nekit [7.7K]

Answer:

hmg = E

Step-by-step explanation:

Step 1: Write equation

h = E/mg

Step 2: Multiply both sides by mg

hmg = E

4 0
3 years ago
Which equations have no solution? Check all that apply.
charle [14.2K]
Remember, |n|≥0 for all real numbers n

so

-|x|=0
times -1
|x|=0
true, x=0, has a solution

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false, no negative absolute value

-|-x|=9
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x=2 or -2
true, has solutions



the ones that have no solutions are
|x|=-15
-|x|=12
-|-x|=9
5 0
3 years ago
Read 2 more answers
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