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lina2011 [118]
3 years ago
6

The height H of a skydiver t seconds after jumping. Let T be the independent variable, and assume the skydiver jumps from a heig

ht of 12,500 feet and lands after 300 seconds of flight
Mathematics
1 answer:
Rina8888 [55]3 years ago
6 0

Answer:

25 seconds

Step-by-step explanation:

Skydiving.  

height (in feet) above the earth=h(t)= -16t^2 + 10,000

the time it would take to fall when h is 0  

-16t^2 + 10,000=0

-16t^2=-10000

16t^2=10000

t^2=10000/16=625

t=sqrt 625=25 seconds

You might be interested in
If g(x) = 3x + 8, evaluate g(2)
Mkey [24]

Answer:

g(2) = 14

Step-by-step explanation:

g(x) = 3x + 8

g(2) = 3(2) + 8

g(2) = 14

g(2)=14 Hope this helps

7 0
3 years ago
5(x+3)-7(6-3)+29=50-3(8-x)
Sveta_85 [38]

Answer:

\quad x=\frac{3}{2}

Step-by-step explanation:

7\left(6-3\right)=21, \mathrm{Expand\:}5\left(x+3\right)-21+29:\quad5x+23, \mathrm{Expand\:}50-3\left(8-x\right):\quad 3x+26, Subtract 23 and 3x from both sides and simplify: 2x=3, Divide both sides by 2 and simplify: x=\frac{3}{2}

<em>Hope this helps!!!</em>

6 0
3 years ago
The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes
11111nata11111 [884]
(a) Average time to get to school
Average time (minutes) = Summation of the two means = mean time to walk to bus stop + mean time for the bust to get to school = 8+20 = 28 minutes

(b) Standard deviation of the whole trip to school
Standard deviation for the whole trip = Sqrt (Summation of variances)

Variance = Standard deviation ^2
Therefore,
Standard deviation for the whole trip = Sqrt (2^2+4^2) = Sqrt (20) = 4.47 minutes

(c) Probability that it will take more than 30 minutes to get to school
P(x>30) = 1-P(x=30)
Z(x=30) = (mean-30)/SD = (28-30)/4.47 ≈ -0.45
Now, P(x=30) = P(Z=-0.45) = 0.3264
Therefore,
P(X>30) = 1-P(X=30) = 1-0.3264 = 0.6736 = 67.36%

With actual average time to walk to the bus stop being 10 minutes;

(d) Average time to get to school
Actual average time to get to school = 10+20 = 30 minutes

(e) Standard deviation to get to school
Actual standard deviation = Previous standard deviation = 4.47 minutes. This is due to the fact that there are no changes with individual standard deviations.

(f) Probability that it will take more than 30 minutes to get to school
Z(x=30) = (mean - 30)/Sd = (30-30)/4.47 = 0/4.47 = 0

From Z table, P(x=30) = 0.5
And therefore, P(x>30) = 1- P(X=30) = 1- P(Z=0.0) = 1-0.5 = 0.5 = 50%
8 0
3 years ago
Manchu has drawn a
timama [110]

Answer:

Height of each triangle: 14cm

Area of each triangle: 168cm²

Step-by-step explanation:

So we know that the base of the area is 24. Lets find the height.

336 ÷ 24 = 14

If he makes two triangles out of the rectangle that just means he cuts it in half.

To find the area of one triangle lets do:

336 ÷ 2 = 168

Let's double check our answer:

(14 × 24) ÷ 2 = 168

Seems great!

6 0
3 years ago
HELP!
Klio2033 [76]
It’s 50/50 hope this helps
4 0
3 years ago
Read 2 more answers
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