Answer:
Step-by-step explanation:
To solve this equation, one must apply the following logarithmic property:
if
then
Applying it to the problem at hand:
The solutions to the problem are 4/7 and -4/7.
*Note that this solution was pretty straight forward because log2(16) = 4 is a known value, otherwise, a change of base to a base ten log would be required.
<u>Answer</u>
First diagram shows 1 and 2 vertical angles
<u>Explanation</u>
From the all four diagrams,we get the diagram first shows the vertically opposite angles.
angle 1 and angle 2 are vertically opposite angles
vertically opposite angles are equal in measurements. when two lines are intersect each other form four angles, out of this four angles two pairs of vertically opposite angles are there.
All other figures angle 1 and 2 shows adjacent angles.
<span> The difference between the observed </span>value<span> of the dependent variable (y) and the predicted </span>value<span> (ŷ) is called the </span>residual<span> (e). When x is equal to 3, the value of y from the best fit line would be 0.8. Therefore, the residual would be -1 - 0.8 = -1.8. Option A is the correct answer.</span>
Answer: the number of VHS movie rentals in 2011 is expected to be 1.13 million.
The table was not provided, but it is not necessary since the exponential regression equation was provided.
The exponential regression equation is the exponential function that best fits the set of data and it is given in the form:
y = a · bˣ
where:
a = initial value of the model
b = exponential grow or decay
x = time passed from the beginning
In our case,
y = 9.92 · (0.8208)ˣ
where:
a = 9.92
b = 0.8208
Since 0 < b < 1 we have an exponential decay, confirming that the number of VHS is decreasing with time.
We can then use this equation to infer the number of VHS movies in 2011.
As a first thing, calculate how many years from the beginning (2000) would pass:
x = 2011 - 2000 = 11
Now, substitute this value in the equation:
<span>y = 9.92 · (0.8208)</span>¹¹
= 1.13
In 2011 we can predict there will be only 1.13 million VHS movie rentals.
Answer:
Rina is 1/4 feet taller than Ryan
Step-by-step explanation:
(height of Rina)-(height of Ryan)
6x+3/8-(5x+1/8)
6x+3/8-5x-1/8
x+3-1/8
x+2/8
x+1/4
