Answer:
rounded to the nearest hundredth
Step-by-step explanation:
use the pythagorean theorem to find the height of the cone
you get a = 8
the formula for the volume of a cone is
plug in 6 for the radius and 8 for the height. then solve
Answer:
<h2>a) Average velocity = 278 units</h2><h2>b)
Instantaneous velocity at t = 7 seconds is 148 units</h2>
Step-by-step explanation:
a) Average velocity is the ratio of displacement to time.
We have
s(t) = t³ + t
t is in between 7 and 12
s(7) = 7³ + 7 = 350
s(12) = 12³ + 12 = 1740
Displacement = 1740 - 350 = 1390
Time = 12 - 7 = 5
Displacement = Average velocity x time
1390 = Average velocity x 5
Average velocity = 278 units
b) s(t) = t³ + t
Differentiating
v(t) = 3t² + 1
At t = 7
v(t) = 3 x 7² + 1 = 148 units
Instantaneous velocity at t = 7 seconds is 148 units
Answer:
Step-by-step explanation:
Given
Required
Interpret the slope and y intercept
The general form of an equation is:
Where
By comparison
Interpretation:
Slope represents rate and y intercept represents the number of chirps at time 0.
So, the interpretations are:
Slope: The cricket chirps at a rate of 
chirps per minute
y intercept: The initial number of chirps is 60
We first solve the angle from the given sinθ=3/5. Using a calculator in degrees mode, theta is equal to 36.87 degrees. Hence 2 theta is equal to 73.74 degrees. The value of cosine 73.74 degrees is equal to 7/25. This is the final answer.
X^2 + x = 5
hope that helps
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