Answer:
107
Step-by-step explanation:
f(x)=7x^(2)-5
f(4) means that x=4
f(4)=7*4^(2)-5
= 7 * 16 -5
= 112 -5
= 107
Answer:
5√3 ft/s
Step-by-step explanation:
Let h represent the horizontal distance of the kite from the person. Let s represent the string length. Then the Pythagorean theorem tells us ...
s^2 = 100^2 + h^2
2s·ds/dt = 0 + 2h·dh/dt
ds/dt = (h/s)·dh/dt
So, we need to know the horizontal distance when s=200.
200^2 = 100^2 + h^2
40000 -10000 = h^2
h = 100√3
Substituting known values into the equation for ds/dt, we have ...
ds/dt = (100√3)/(200)(10 ft/s) = 5√3 ft/s
The string must be let out at 5√3 ft/s when it is already 200 ft long.
Answer:
see explanation
Step-by-step explanation:
Since a hexagon has 6 interior angles and the measure of one is 120°, then
sum of interior angles = 6 × 120° = 720°
exterior angle = 180° - interior angle = 180° - 120° = 60°
Nayeli - 4x19= 76 total candies
jayden- 5x15= 75 total candies
so nayeli has 1 more piece of candy than jayden does.
