Answer:
The instantaneous velocity at 
is 
.
Step-by-step explanation:
We have the position as the function
As we know that the velocity is the rate of change of position over time, so it is basically the derivative of the function.
so finding the derivate of
∴ 
The instantaneous velocity at
Therefore, the instantaneous velocity at is .
Please note that the negative value indicates the direction of movement, in this case, it would be backward.
The answer to this problem would be B. Here are the steps:
So, the dimensions of the prism are: 9,3, and 7.
Multiply them all: 9×3×7=189
Lastly: you multiply 189×1/3=63 yd^3
Incase you are wondering, since each cube is 1/3 in length you multiply that by the volume of the prism.
Hope this helps (:
We are trying to find the number that when added to 19, gives us less than 42. We can set up this simple inequality:
19 + x < 42
Now, subtract 19 from both sides:
x < 23
Our number can be anything less than 23.
Rent for 6 hours = 21
rent for a hour = 21/6
= $3.5
Answer:
24
Step-by-step explanation:
Let the number of mangoes owned by Tulsa be T and that by Julie be J
If Tulsa has 4 times as many mangoes as Julie then
T = 4J
Tulsa bought 6 more mangoes. She now has 5 time as many mangoes as Julie
T + 6 = 5J
Solve both equations simultaneously by substitution
4J + 6 = 5J
Collect like terms
6 = 5J- 4J
J = 6
Since
T = 4J
T = 4 * 6
= 24
Hence Tulsa had 24 mangoes at first
