Answer:
÷ 
Step-by-step explanation:
Evaluate 
÷ 
, then evaluate each given expression to find which of them will give us the same result.
÷
÷ 
(recall: 
÷ 
(changing from division operation to multiplication by flipping the fraction to our right upside down)
Let's compare the expressions in the given options to the value we got above:
Option 1: 3*3⁶
= 3*729 = 2,187 (this is equal)
Option 2: 3⁷ ÷ 3⁰
= 2,187 ÷ 1 (recall: x⁰ = 1, therefore, 3⁰ = 1)
= 2,187 (this is equal)
Option 3: 3³ * 3⁴
= 27*81 = 2,187 (this is equal)
Option 4: ÷
÷ 
÷
(changing from division to multiplication)
(not equal)
÷ i not equal to ÷ .
Answer:
1/2
Step-by-step explanation:
Given:
sinx=-1/2
cosy=√3/2
finding x
x=sin^-1(-1/2)
x=-π/6
x=-30°
finding y
cosy=√3/2
y=cos^-1(√3/2)
y=π/6
y=30°
Now finding cos(x-y)
cos(-π/6-π/6)
=cos(-π/3)
=1/2!
Answer:
x=3 , x=-3
Step-by-step explanation:
Add 9 on both sides
To remove base 'e' we take ln on both sides
Both sides have ln , so we make the terms equal
Take square root on both sides
x=3 , x=-3
<span>The annual depreciation expense is $9,000, calculated as follows Cost of the asset is $80,000 less $8,000 salvage value which reduces the cost to $72,000. Useful life is 8 years. To determine annual depreciation expense using straight-line method, divide asset cost of $72,000 by 8 years of useful life equals $9,000 per year.</span>
Answer:
r = 9
Step-by-step explanation:
Given that c varies directly as (r + 1) then the equation relating them is
c = k(r + 1) ← k is the constant of variation
To find k use the condition c = 8 when r = 3, then
8 = k(3 + 1) = 4k ( divide both sides by 4 )
2 = k
c = 2(r + 1) ← equation of variation
When c = 20, then
20 = 2(r + 1) ← divide both sides by 2
10 = r + 1 ( subtract 1 from both sides )
9 = r
