Answer:
<u>-21844</u>
Step-by-step explanation:
<u>Finding n</u>
- -16384 = -4(4)ⁿ⁻¹
- 4ⁿ⁻¹ = 4096
- 4ⁿ⁻¹ = 64²
- 4ⁿ⁻¹ = (8²)²
- 4ⁿ⁻¹ = (4³)²
- n - 1 = 6
- n = 7
<u>Finding The Sum</u>
- S₇ = -4(4⁷ - 1) / 4 - 1
- S₇ = -4 (16383) / 3
- S₇ = -65536/3
- S₇ = <u>-21844</u>
I think the correct answer from the choices listed above is the second option. Combining probabilities is a function of mutually exclusive events. Joint probability<span> is a measure of two events happening at the same time, and can only be applied to situations where more than one observation can be occurred at the same time.</span>
Use the trig ratio which
gives you the most information. Here we have opposite and hypotenuse
relative to angle x, so think sin( x ) = 14.1 / 27.9<span>Now we want to solve for x, but x is stuck inside the sine function
So how do we do this?
We can 'undo' the sine function by using the inverse sine. apply the inverse Sin to both sides of the equation.
sin^-1 ( sin(x) ) = sin^-1 ( 14.1 / 27.9)
the left side 'cancels' , leaving you with x
x = sin^-1 ( 14.1 / 27.9)</span><span>Now you need a calculator.
Make sure you are in degree mode.
Calculators can give you answer in radian or degree.
If you get a decimal answer, you are probably in radian mode.
Round up if you want nearest hundredth
30.3563 ≈ 30.36
Round up again if you want nearest tenth
30.36 ≈ 30.4
Hope this helps! :)
</span>
Answer:
Correct option:
"The total cost of renting a jet ski for $25 per hour plus a fee of $50."
Step-by-step explanation:
Proportional relationships are associations between two variables where the ratio of these two variables are correspondent. Or, in a proportional relationship, one variable is a constant value times the other variable. This constant is known as the "constant of proportionality".
The first three options represents a proportional relationship.
But the last option does not.
"The total cost of renting a jet ski for $25 per hour plus a fee of $50."
That is,
TC = 25·<em>h</em> + 50
The relationship is linear not proportional.
Given:
Let x be the number of tickets sold
Let y be the price of tickets sold
(0,0)(1,20)(2,40)(3,60)(4,80)
These points show that 1 ticket costs 20.
y = 20x
y = 20(0) = 0
y = 20(1) = 20
y = 20(2) = 40
y = 20(3) = 60
y = 20(4) = 80
The price of tickets sold is in direct variation to the number of tickets sold. This means that the increase in the number of tickets sold will correspond to an increase in the price of tickets sold at a constant rate of variation.
