Answer:

Step-by-step explanation:
The equation of a periodic function is in the form:
y = Asin(Bx + C) + D
Where A = amplitude, B = 2π / period, D = vertical shift, phase shift = -C / B.
Given that:
amplitude: 4, period 4 phase shift = vertical shift = -2
Hence:
A = amplitude = 4, B = 2π / period = 2π / 4 = π / 2, D = vertical shift = -2.
Phase shift = -C / B
C = -phase shift * B = - * -2 * π / 2 = π.
Therefore substituting gives:

Answer: 7,8,9
Step-by-step explanation:
Let the numbers be a, a+1 and a+2. Therefore, based on the question, this will be:
= (a + 1)(a + 2) = 72
a² + 2a + a + 2 = 72
a² + 3a + 2 - 72 = a
a² + 3a - 70 = 0
a² + 10a - 7a - 70 = 0
a(a + 10) - 7(a + 10)
a - 7 = 0
a = 7
Since a = 7
a + 1 = 7+1 = 8
a + 2 = 7+2 = 9
The numbers are 7,8 and 9
Answer:
= 1/2
Step-by-step explanation:
From the question: 1 bag contains
4 cotton candy lollipops
3 cherry lollipops
6 butterscotch lollipops
1 orange lollipops
Total number of possible outcomes =
14
The probability of randomly choosing a cotton candy or orange lollipops is calculated as:
P(Cotton candy) + P(Orange)
= 4/14 + 3/14
= 7/14
= 1/2
x-4>15.5
x>15.5+4
x>19.5
i suppose the answer is D since it is the closest to ^.
Answer:
B: 8 7/8 Lbs
Step-by-step explanation:
answer = 
step 1 find a common denominator
common denominator - 8
* apply *

now we have

step 2 make each fraction a improper fraction
We can do this my multiplying the big number by the denominator and adding that to the numerator.

now we have

Now we can subtract
remember when subtracting fractions you only subtract the numerators. ( so we keep the denominator as 8 )
so 121 - 28 - 22 = 71
so the answer is 
finally we want to change the answer back into a mixed fraction
To do this we divided 71 and 8
8 can go into 71 8 times
8 * 8 = 64
71 - 64 = 7
We're left with 