Answer:
266.6 per year
Step-by-step explanation:
53392 / 20 = 266.6
= 266.6 per year
Answer:
x = 929/126
Step-by-step explanation:
12/19(x-22)=38-6x-3
Combine like terms
12/19(x-22)=35-6x
Multiply each side by 19
19* 12/19(x-22)=19*(35-6x)
12( x-22) = 19*(35-6x)
Distribute
12x - 264 = 665 - 114x
Add 114x to each side
12x +114x - 264 = 665 - 114x+114x
126x -264 = 665
Add 264 to each side
126x-264+264 = 665+264
126x = 929
Divide each side by 126
126x/126 = 929/126
x = 929/126
Answer:
the figures are congruent because they have 3 congruent sides and three congruent angles
Answer:
<h2>
-29.61m/s</h2>
Step-by-step explanation:
Given the distance of fall of the student in term of the time t expressed by the equation s(t) = −16t² + 8√t, to get the average speed of fall of the pencil after 2.8 secs, we will need to differentiate the given function first since Velocity is the change in distance of a body with respect to time i.e
V = d(s(t))/dt
s(t) = −16t² + 8t^1/2
V = -32t+1/2(8)t^(1/2 - 1)
V = -32t+4t^-1/2
The average speed of the fall Using the fact that the pencil hit the ground in exactly 2.8 seconds, will be gotten by substituting t = 2.8 into the resulting equation.
V = -32t+4(2.8)^-1/2
V = -32t+4/√2.8
V = -32+4/1.6733
V = -32+2.391
v = -29.61m/s
<em>Hence the average speed of the fall is -29.61m/s</em>
Answer:
g(x) = -2x - 5
2x becomes -2x as a reflection across the y-axis
add on -5 to shift the function 5 units down
