Answer:
SSS means side-side-side
Step-by-step
how does your problem look like.
We can model this situation with an arithmetic series.
we have to find the number of all the seats, so we need to sum up the number of seats in all of the 22 rows.
1st row: 23
2nd row: 27
3rd row: 31
Notice how we are adding 4 each time.
So we have an arithmetic series with a first term of 23 and a common difference of 4.
We need to find the total number of seats. To do this, we use the formula for the sum of an arithmetic series (first n terms):
Sₙ = (n/2)(t₁ + tₙ)
where n is the term numbers, t₁ is the first term, tₙ is the nth term
We want to sum up to 22 terms, so we need to find the 22nd term
Formula for general term of an arithmetic sequence:
tₙ = t₁ + (n-1)d,
where t1 is the first term, n is the term number, d is the common difference. Since first term is 23 and common difference is 4, the general term for this situation is
tₙ = 23 + (n-1)(4)
The 22nd term, which is the 22nd row, is
t₂₂ = 23 + (22-1)(4) = 107
There are 107 seats in the 22nd row.
So we use the sum formula to find the total number of seats:
S₂₂ = (22/2)(23 + 107) = 1430 seats
Total of 1430 seats.
If all the seats are taken, then the total sale profit is
1430 * $29.99 = $42885.70
Pupils that chose Band: 60%
Pupils that chose Chorus: 40%
Boys in band: 70%
Boys in chorus: 30%
Probability of choosing boy = Probability of boy in band + Probability of boy in chorus
P = 0.6 x 0.7 + 0.4 x 0.3
P = 0.54
The answer is D.
Answer:
They are only equal on day 0, both having 10 population.
Step-by-step explanation:
Given the bacteria on the counter is initially measured at 5 and doubles every 3 days we can generate the following geometric equation:
Given the bacteria on the stove is measured at 10 and doubles every 4 days we can create another equation:
To find how many days it will take for the bacteria population to equal the same lets set both equations equal to eachother:
Divide both sides by 10
Since both exponents have the same base we can set the exponents equal to eachother and solve for x:
Multiply both sides by 3 to isolate x on the left side
Multiply both sides by 4 to remove fraction
Subtract 3x to isolate x on the left side
Plug x into one of our original equations
Solve
A ray in mathematics starts at a point and extends infinitely in one direction away from that point
it differes from a line because a line extend indefinitely in both directions
the sun ray starts from the sun and does not pass through the sun so it starts from a point (the sun's surface) and extends indefinitely into space unless it hits something (planets, black holes, endpoint)
