Answer:
7.15 hours or 7 hours 9 minutes.
Step-by-step explanation:
Time = distance / average speed.
= 715 / 100
= 7.15 hours.
Answer:
456.25m
Step-by-step explanation:
Since the question did not ask for what to find, we can as well look for the maximum height reached by the object
Given the height of an object thrown vertically expressed as;
s=-16t^2+100t+200.
At max height,
dS/dt = 0
-32t+100 = 0
-32t = -100
t = 100/32
t = 3.125s
Get the Max height
s(3.125) = -16(3.125)²+100(3.125)+200
s(3.125) = -156.25+312.5+200
s(3.125) = 456.25m
Hence the maximum height reached by the object is 456.25m
Answer:
D) 39
Step-by-step explanation:
There are a couple of steps to this. First, note that you must plug in the given number that replaces x into the right side's x. After you find the answers, you must then subtract both answers to get your result.
First step, find g(8):
g(x) = 3x - 2
When x = 8,
g(8) = 3(8) - 2
Remember to follow PEMDAS, the order of operations. First, multiply, then subtract:
g(8) = (3 * 8) - 2
g(8) = (24) - 2
g(8) = 22
Next step, find g(-5):
g(x) = 3x - 2
g(-5) = 3(-5) - 2
g(-5) = (3 * -5) - 2
g(-5) = (-15) - 2
g(-5) = -17
Note that you are subtracting both numbers. When there are two negative signs directly next to each other, it becomes a positive:
22 - (-17) = 22 + 17 = 39
D) 39 is your answer.
~
The 2 widths make 2x
<span>The length is (7000 - 2x) (not just x)
</span>Area = (7000 - 2x) * x
<span>Area = 7000x - 2x^2
</span>
Area = - 2(x^2 - 1,400x)
Area = -2 (x^2 - 1,400x + (1,400<span>/2)^2 ) + 7812.5 </span>
<span>Area = -2 (x - 62.6)^2 + 7812.5
</span>
The maximum area = 7812.5
<span>when </span>
<span>the width = 62.5 and </span>
<span>the length = 250 - 2*62.6 </span>
<span>the length = 250 - 125 </span>
<span>the length = 125</span>
Answer:
5
Step-by-step explanation:
[math]
U_{n} = 5n - 2 \\
Common Difference = U_{n+1} - U_{n} \\
= [5(n + 1) - 2] - [5n - 2] = [5n + 5 - 2] - [5n - 2]\\
= 5n + 5 - 2 - 5n + 2\\
= 5
[/math]