Answer:
0.5 seconds
Step-by-step explanation:
Equation: h(t) = -5t²+5t=10
Where h(t) is in meter, t is in seconds.
The driver will reach maximum height when d[h(t)]/d(t) = 0
From the equation,
d[h(t)]/d(t) = -10t+5
Therefore,
-10t+5 = 0
Solve for t
-10t = -5
10t = 5
t = 5/10
t = 0.5 seconds.
Hence the height will be maximum in 0.5 seconds.
Answer:
-1
Step-by-step explanation:
Think of the slope as the number in front of x
You have to ask yourself “how many half hours segments are in 2 hours?” The answer is 4. Now, since you want to find out how many miles the boat can travel in half an hour, divide 27 by 4 (because there are four half hours in 2 hours). 27 divided by 4 equals 6.75. The boat travels 6.75 miles in half an hour.
Answer:
180.6 cubic inches. (Nearest tenth is the same as 1 decimal place)
Step-by-step explanation:
The volume of a cylinder formula is:
V
=
π
r
2
h
The diameter is
10
inches, well half of the diameter is
5
inches which is the radius. Radius is half of the diameter.
If you want the diameter back, just double it.
5
+
5
=
10
.
So we can now plug the numbers into the formula.
V
=
π
(
5
2
)
(
2.3
)
V
=
π
(
25
)
(
2.3
)
(5 Squared =25)
V
=
57.5
π
But if you didn't want it in terms of
π
, so you multiply:
57.5
×
3.14
=180.55
but rounding that to the nearest tenth is the same as rounding to
1 decimal place so you get
180.6 cubic inches.
Answer:
It's very simple. In 4 decimal digits there are 10,000 (0000 to 9999) possible values. The odds of any one of them coming up randomly is one in 10,000. A specific "4 digit number" would have 1/9000 chance, since there are 9000 4 digit numbers (1000-9999).
Step-by-step explanation:
