-6a - 4a + 7a = -10a + 7a = -3a, that isn't 5a;
b. False
Answer:
4 m/s downwards
Step-by-step explanation:
Velocity is given by dividing the distance by time taken to cover the diatance. Therefore, expressed as v=d/t
The distance is given as 24 m but the time given covers only half the distance. Therefore, the distance is 0.5*21=12 m
Time taken is given as 3 s
Substituting 12 m for d and 3 s for t then
V=12/3= 4 m/s
Velocity must have direction component hence velocity is 4 m/s downwards
(x^9/5 × x^2/5) / x^1/5 = x^11/5 / x^1/5 = x^(11/5-1/5) = x^10/5 = x^2 (ans)
Answer:
<em>The time allotted is 46 minutes for an annual checkup and 29 minutes for a sick visit</em>
Step-by-step explanation:
<u>System of Equations</u>
It's required to write and solve a system of equations to model the situation of Dr. Jensen. Let's call the following variables:
x = time allotted for annual checkups
y = time allotted for sick visit
Dr. Jensen has 3 annual checkups and 1 sick visit for a total of 167 minutes on her schedule, thus:
3x + y = 167 [1]
It's also given she has 1 annual checkup and 1 sick visit on her schedule for a total of 75 minutes, thus:
x + y = 75 [2]
We'll solve the system formed by equations [1] and [2] using the elimination method.
Subtract [1] and [2]:
3x - x = 167 - 75
2x = 92
Divide by 2:
x = 46
Substitute in [2]:
46 + y = 75
Subtract 46:
y = 75 - 46 = 29
y = 29
The time allotted is 46 minutes for an annual checkup and 29 minutes for a sick visit