Answer:
14/33
Step-by-step explanation:
The total amount of beads is 8+4 = 12. 8 of these are black beads, so that is what we want, so 8/12 or 2/3. For the second one, one black bead is already taken so 8-1 = 7 are left and for the total 12 - 1 = 11 are left, so 7/11. Multiply this by 2/3 and we get 14/33.
Answer:

Step-by-step explanation:
We are given,
Cameron buys 2.45 pounds of apple and 1.65 pounds of pears.
Also, the cost of apples and pears is 'c' dollars per pound.
Thus, the cost of 2.45 pounds of apple is
dollars and the cost of 1.65 pounds of pear is
dollars.
Since, the total cost after using a coupon is $4.12.
So, we get the equation representing the situation is,
Total cost = Total cost of apples + Total cost of pears.
i.e. 
i.e. 
i.e. 
i.e. c = 1 dollar
Hence, the required equation to find c is
.
Answer:
the required equation is; y = 21 sin(πt/6)
Step-by-step explanation:
Given the data in the question;
Water rises above sea level = 21 ft
Water drops below sea level = 21 ft
so
maximum = 21 ft and also
minimum = 21 ft
Amplitude = ( maximum + minimum ) / 2
Amplitude = ( 21 + 21 ) / 2
Amplitude = ( 21 + 21 ) / 2 = 42/2 = 21 ft
Period = 12 hours
and we know that; period = 2π/b
so
12 = 2π/b
12b = 2π
b = 2π / 12
b = π/6
Standard equation for simple harmonic is; y = asin(bt)
we substitute
y = 21 sin(πt/6)
Hence the required equation is; y = 21 sin(πt/6)
Answer:
Yes
Step-by-step explanation:
56 is the answer so it's A, C and E.