Answer:
a) OA = 1 unit
b) OB = 3 units
c) AB = √10 units
Step-by-step explanation:
<u>Given function</u>:

<h3><u>Part (a)</u></h3>
Point A is the y-intercept of the exponential curve (so when x = 0).
To find the y-value of Point A, substitute x = 0 into the function:

Therefore, A (0, 1) so OA = 1 unit.
<h3><u>Part (b)</u></h3>
If BC = 8 units then the y-value of Point C is 8.
The find the x-value of Point C, set the function to 8 and solve for x:

Therefore, C (3, 8) so Point B is (3, 0). Therefore, OB = 3 units.
<h3><u>Part (c)</u></h3>
From parts (a) and (b):
To find the length of AB, use the distance between two points formula:


Therefore:





25 is the answer to question 4 traveld by a passenger in one full rotation
Answer:
it is 1
Step-by-step explanation:
Answer:
1.2 kilometers per minute; 6 kilometers in 5 minutes
Step-by-step explanation:
To find the KM per minute, divide the speed per hour (72) by 60 (minutes in one hour)
72/60 = 1.2 KM per minute
To find the KM for 5 minutes, multiply the KM per minute (1.2) times 5 minutes: 1.2*5 = 6 KM
Answer:
Step-by-step explanation:
Given
<u>Functions:</u>
- S(t) = –0.122t³ + 3.49t² – 14.6t + 136
- H(t) = –0.115t³ + 3.71t² – 20.6t + 124
<u>Finding the difference between S(5) and H(5)</u>
- S(5) - H(5) =
- –0.122t³ + 3.49t² – 14.6t + 136 - (–0.115t³ + 3.71t² – 20.6t + 124) =
- (-0.122 + 0.115)*5³ + (3.49 -3.7)*5² - (14.6 -20.6)*5 + 136 - 124 = 35.875
Answer is 35.875 grams