Answer:
Step-by-step explanation:
The formula for projectile motion in this case where we're dealing the "American" measure of gravity in feet per second squared, is
where s(t) is the height of the object after a certain amount of time has gone by, v₀ is the initial vertical velocity (our unknown in this case), and h₀ is the initial height.
For us, the initial height is 0 because the ball started off on the ground. What we are being asked is what is v₀, when after 2 seconds have gone by and the ball is 94 feet in the air. 94 feet in the air is the position of the ball, s(t) after t seconds go by. What we are being asked to find then, is v₀ when s(2) = 94
which simplifies to
94 = -64 + 2v₀ and
158 = 2v₀ so
v₀ = 79 feet per second
Answer: Choice C
The pink equation is y = 2x-3
The yellow equation is y = -2x+1
Notice how the pink equation crosses the y axis at (0,-3) or at -3 on the y number line. This tells us that the pink equation has a y intercept of -3. So b = -3
This only happens with the equation y = 2x-3. The other equations do not have a y intercept of -3. So this quickly rules out the other choices leaving C as the only answer.
An alternative is to find two points on the pink line, such as (0,-3) and (1,-1). Then find the slope of the line through those points. You should find the slope to be m = 2. So m = 2 and b = -3 leads to y = 2x-3. Follow similar steps for the yellow line as well.
<span>343 pi in^3 ; exact volume
1078 in^3 ; Approximate volume
Since it's not specified, I will assume the axis of rotation will be one edge of the square. With that in mind, here's the solution.
Since the shape specified is a square with an area of 49 in^2, the length of any edge will be sqrt(49) = 7 inches.
Since we're rotating along one edge, we will create a cylinder with a radius of 7 inches and a height of 7 inches. The volume will be the area of a circle with a 7 inch radius multiplied by the height of the cylinder. So
V = pi*h*r^2
V = pi*7*7^2
V = pi*7*49
V = pi*343
V = 343pi
V = 1077.56628; approximately.
So the exact volume is 343pi in^3 and an approximate volume is 1078 in^3</span>
Answer:
B
Step-by-step explanation:
Simple interest is based on the principal amount of a loan or deposit.
The mistake is that they subtracted 21 instead of adding it. you would have had to added 21 to the left side to cancel it out and added 21 to the right side to get p= 55