Answer:
y=4.8710 is the missing value
Step-by-step explanation:
The first step in approaching this question is determining the exponential equation that models the set of data. This can easily be done in Ms.Excel application. We first enter the data into any two adjacent columns of an excel workbook. The next step is to highlight the data, click on the insert tab and select the x,y scatter-plot feature. This creates a scatter-plot for the data.
The next step is to click the Add chart element feature and insert an exponential trend line to the scatter plot ensuring the display equation on chart is checked.
The exponential regression equation for the data set is given as;
To find the missing y value, we simply substitute x with 2 in the regression equation obtained;
Lets calculate linear equation
assume
y = f(x)= mx +b
now given
f(0) = 2
m×0+b = 2
b = 2
so b = 2
given f(4) = 0.125 = 1/8
m×4 + 2 = 1/8
4m = 1/8-2= -15/8
m = -15 /(8×4) = -15/32
so linear equation is
y = mx + b = -15x/32 + 2
exponential equation is same as you have written
y = 2(0.5)^x
now put values of x in each equation to get value of y
x =0
linear y = -15×0/32+2 = 2
exp y = 2(0.5)^0 = 2×1 = 2
x =1
linear y = -15×1/32+2 = 2-15/32= 49/32
exp y = 2(0.5)^1 = 2×1/2 = 1
x =2
linear y = -15×2/32+2 = 2-30/32= 17/16
exp y = 2(0.5)^2 = 2×1/4 = 0.5
x =3
linear y = -15×3/32+2 = 2-45/32= 19/32
exp y = 2(0.5)^3 = 2×1/8= 0.25
x =4
linear y = -15×4/32+2 = 2-60/32= 4/32 = 0.125
exp y = 2(0.5)^4= 2×1/16 = 1/8= 0.125
3/5
15/5=3
3*3=9
9 students packed lunches
The value of [x] in the figure given is 54.
<h3>What are Alternate interior angles?</h3>
Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal.
Given are two parallel lines.
The two lines are parallel and are intersected by a transversal. Assume
that -
∠1 = (x +3)°
∠2 = (2x - 61)°
Now, the angle at the vertically opposite position with respect to ∠2 will have same measurements. Let's call this ∠3 = (2x - 61)°.
Now, ∠3 and ∠1 are alternate interior angles and their measures will be equal. So, we can write -
∠1 = ∠3
x + 3 = 2x - 61
3 + 61 = 2x - x
x = 64
The value of [x] is 54
Therefore, the value of [x] in the figure given is 54.
To solve more questions on finding unknown angles, visit the link below-
brainly.com/question/7153708
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