Answer:
800
Step-by-step explanation:
Given:
Consider the below figure attached with this question.
The value in the given figure are:
To find:
The exponential regression equation for the given values (Rounded to three decimal places).
Solution:
The general form of exponential regression equation is:
...(i)
Where, a is the initial value and b is the growth/decay factor.
The given values are:
Round these numbers to three decimal places.
Putting in (i) to find the exponential regression equation.
Hence, the correct option is C.
To find the total number of combinations possible, multiply each choice by each other:
2 x 3 x 2 x 9 x 2 = 216 different cars
Explanation:
There may be a more direct way to do this, but here's one way. We make no claim that the statements used here are on your menu of statements.
<u>Statement</u> . . . . <u>Reason</u>
2. ∆ADB, ∆ACB are isosceles . . . . definition of isosceles triangle
3. AD ≅ BD
and ∠CAE ≅ ∠CBE . . . . definition of isosceles triangle
4. ∠CAE = ∠CAD +∠DAE
and ∠CBE = ∠CBD +∠DBE . . . . angle addition postulate
5. ∠CAD +∠DAE ≅ ∠CBD +∠DBE . . . . substitution property of equality
6. ∠CAD +∠DAE ≅ ∠CBD +∠DAE . . . . substitution property of equality
7. ∠CAD ≅ ∠CBD . . . . subtraction property of equality
8. ∆CAD ≅ ∆CBD . . . . SAS congruence postulate
9. ∠ACD ≅ ∠BCD . . . . CPCTC
10. DC bisects ∠ACB . . . . definition of angle bisector
Answer:
a. The graph has a constant of variation of 3, so it represents a direct variation.
Step-by-step explanation:
We have been given a graph and we are asked to find whether our given graph represents direct variation or not.
Since we know that a direct variation is an equation in slope-intercept form, which passes through origin (0,0) and constant of variation equals to the slope of the line.
Direct variation equation is in form: , where k= constant of variation.
Slope intercept equation of line is in form: , where m= slope and b= y-intercept.
Let us find equation of our given line in slope-intercept form.
We can see from our given graph that our line passes through the origin, so y-intercept (b) equals zero.
Let us find slope of our given line.
Upon substituting m=3 and b=0 in slope intercept form of equation we will get: . Upon comparing our line with direct variation equation we can see that k=3, therefore, option a is the correct choice.