Answer:
The amount of money in his paycheck was $ 225.
Step-by-step explanation:
Given that Li put $ 75 into his savings account, and said money was 1/3 of his paycheck, to determine which equation could be used to find the amount of money, p, in dollars, on his paycheck, the following reasoning must be performed mathematical:
75 / (1/3) = P
75 / 0.333 = P
225 = P
Thus, the amount of money in his paycheck was $ 225.
Answer:
The particle changes its direction 2 times within the time -3<t<3
Step-by-step explanation:
The particle is moving only in a single dimension (x-axis), and whenever the particle changes its direction it also means that it's velocity while changing the direction will be zero.
Hence,
v(t) = 0
but since we're not concerned with the actual values of t when v(t)=0, we'll only consider how many times does the particle changes its direction.
for that we'll simply plot the curve using half-steps from -3 to 3.
t, v(t)
-3, 115
-2.5, 23.9375
-2, -16
-1.5, -25.0625
-1, -19
-0.5, -9.0625
0, -2
0.5, -0.0625
1, -1
1.5, 1.9375
2, 20
2.5, 68.9375
3, 169
What we need to check is at what points does the sign of v(t) values change (because only between those points will v(t) cross the x-axis, hence it's value would've crossed 0)
so there are two points!
between the intervals t = [-2.5,2] and [1,1.5]
so there are two points where the particle changes its directions and those points lie somewhere between these two aforementioned intervals.
9514 1404 393
Answer:
- 2/5 cups oats per cup water
- 2.5 cups water per cup oats
Step-by-step explanation:
The denominator of the fraction is the unit you want 1 of.
(6 cups oats)/(15 cups water) = (6/15) cups oats/(1 cup water)
= (2/5 cups oats)/(1 cup water)
1 cup of water would need 2/5 cups of oats.
__
Obviously, the other ratio is the reciprocal of this.
(1 cup water)/(2/5 cups oats) = (5/2 cups water)/(1 cup oats)
1 cup of oats would need 2.5 cups of water
Answer:
x = -6
-18+4y=0 => 4y=18 =>y=18/4=9/2
Y=5
3x+20=0 => x=3x= -20=> x= -20/3
Step-by-step explanation:
Answer:
B
sqrt of 1000= 31.6m
A=pi r2
1000pi= pi r2 (pi cancels)
1000=r2 (take square root of both sides)
r= 31.6m
Step-by-step explanation:
