Answer:
Danalya napped 1 7/20 hours.
Step-by-step explanation:
Rewriting our equation with parts separated
=3+3/4−2−2/5
Solving the whole number parts
3−2=1
Solving the fraction parts
3/4−2/5=?
Find the LCD of 3/4 and 2/5 and rewrite to solve with the equivalent fractions.
LCD = 20
15/20−8/20= 7/20
Combining the whole and fraction parts
1+7/20= 1 7/20
vi is going in the positive direction (up). (That's my choice). a (acceleration) is going in the minus direction (down). The directions could be reversed.
Givens
vi = 160 ft/s
vf = 0 (the rocket stops at the maximum height.)
a = - 9.81 m/s
t = ????
Remark
YOu have 4 parameters between the givens and what you want to solve. Only 1 equation will relate those 4. Always always list your givens with these problems so you can pick the right equation.
Equation
a = (vf - vi)/t
Solve
- 32 = (0 - 160)/t Multiply both sides by t
-32 * t = - 160 Divide by -32
t = - 160/-32
t = 5
You will also need to solve for the height to answer part B
t = 5
vi = 160 m/s
a = - 32
d = ???
d = vi*t + 1/2 a t^2
d = 160*5 + 1/2 * - 32 * 5^2
d = 800 - 400
d = 400 feet
Part B
You are at the maximum height. vi is 0 this time because you are starting to descend.
vi = 0
a = 32 m/s^2
d = 400 feet
t = ??
formula
d = vi*t + 1/2 a t^2
400 = 0 + 1/2 * 32 * t^2
400 = 16 * t^2
400/16 = t^2
t^2 = 25
t = 5 sec
The free fall takes the same amount of time to come down as it did to go up. Sort of an amazing result.
Answer:
Make coordinates with this table.
Step-by-step explanation:
What I think from these tables is that you can make coordinates with these points. Here are the instructions for you to follow-
- See the "y" and "x". These are the axis. So make coordinates with these. Ex- (0,3), (1,5) and so on
- Plot these coordinates in a graph paper.
- After plotting them, you might find the shape it made.
I hope it helps you.
Answer:
the answer is 16 hours
Step-by-step explanation:
i just multiplied 12(the amount he gets from tutoring) and multiplied it by different numbers to see which one gets him past $190
Answer: a) degree and sign
b) end behavior: left side → +∞, right side → -∞
c) x-intercepts: x = -1.3, 0.3, 1.0
<u>Step-by-step explanation:</u>
end behavior can be determined by two things:
1) the degree of the polynomial:
- if the degree is an even number, then the end behavior will be the same for both the left and right sides.
- if the degree is an odd number, then the end behavior will be different for both the left and right sides.
2) the sign of the leading coefficient:
- If the leading coefficient is positive, then the end behavior of the right side goes to positive infinity
- If the leading coefficient is negative, then the end behavior of the right side goes to negative infinity
W(x) = -5x³ + 7x - 2
Degree: 3 (odd)
Leading Coefficient: negative
So, end behavior is: right side goes to negative infinity, right side goes to positive infinity.
See attachment for x-intercepts. <em>I set the x-axis to represent tenths </em>
