Answer:
B
y = 3 cos (pi/12x - pi/4) + 17
Step-by-step explanation:
First find the average temperature which is 20 + 14/2 = 17
Find the amplitude
20 - 17 = 3
This means that that at noon, the shift is 3hrs past
the best equation that represents this scenario is 
Answer:
0.3 hour or 18 minutes
Step-by-step explanation:
How long means, we are to calculate the time(t)
Hence,
Speed × time = Distance
For Neil , 11 × t
For Charlie = 9 × t
11t + 9t = 6
20t = 6
t = 6/20
t = 0.3 hour
Converting to minutes
1 hour = 60 minutes
0.3 hour = x
x = 0.3 × 60 minutes
x = 18 minutes
Therefore, it will take 0.3 hour or 18 minutes for these two to meet.
Answer:
64
Step-by-step explanation:
Since 64 is a multiple of itself and of all the other numbers, the answer is 64.
Answer:
Step-by-step explanation:
We observe that the difference of terms is 4, 7 and 15 and next level difference is 4. It means the sequence is quadratic.
<u>We can compare this with simple quadratic sequence </u>
<u>and find out that doubling each term gives us </u>
This is close to our sequence, write the terms as follows to find exact rule
<u>The first term: </u>
- a₁ = 4 = 2*1² + 2 = 2*1² + 1 + 1
<u>The second term</u>
- a₂ = 11 = 2*2² + 3 = 2*2² + 2 + 1
<u>The third term:</u>
- a₃ = 22 = 2*3² + 4 = 2*3² + 3 + 1
<u>The fourth term:</u>
- a₄ = 37 = 2*4² + 5 = 2*4² + 4 + 1
<u>The nth term as per observation above is:</u>
Let's do subtraction by first starting with the ones place and then the tenths place of the subtrahend.
45-4=41; 44, 43, 42, 41
41-.5= 40.5; 40.9, 40.8, 40.7, 40.6, 40.5
45-4.5=40.5
We can check by using addition.
40.5+4.5=
44+1=
45
