Answer:
Step-by-step explanation:
We have the following function
y = 12^x, and we need to find the inverse function.
To find the inverse function we should solve the equation for "x". To do so, first, we need to:
1. Take the logarithm in both sides of the equation:
lg_12 (y) = log _12 (12^x)
(Please read lg_12 as: "Logarithm with base 12")
From property of logarithm, we know that lg (a^b) = b*log(a)
Then:
lg_12 (y) = x*log _12 (12)
We also know that log _12 (12) = 1
Then:
x = log_12(y).
Then, the inverse of: y= 12^x is:
Answer:
170 children
74 students
85 adults
Step-by-step explanation:
Given
Let:
For the capacity, we have:
For the tickets sold, we have:
Half as many as adults are children implies that:
Required
Solve for A, C and S
The equations to solve are:
-- (1)
-- (2)
-- (3)
Make C the subject in (3)
Substitute in (1) and (2)
-- (1)
Make S the subject
-- (2)
Substitute
Solve for A
Recall that:
Recall that:
Hence, the result is:
Answer:
the one for the finding the height is 3.3, the one with 7 as the height is 351.86, and the one with 3 as the height is 150.8
Step-by-step explanation:
h=V
πr2=41.5
π·22≈3.30247
V=πr2h=π·42·7≈351.85838
V=πr2h=π·42·3≈150.79645
Two of the forms used for filing individual federal income tax returns<span> are IRS </span>Form 1040A<span> and IRS Form </span>1040EZ. Trhe third one is the complex IRS Form 1040. <span>Form 1040EZ is the briefest version of the 1040. You can't itemize deductions or claim any adjustments to income or tax credits except for the </span>Earned Income Credit<span>, and you can't have any income from self-employment, </span>alimony<span>, dividends or </span>capital gains<span>. </span><span>
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Answer:
20 and 90
Step-by-step explanation: