Answer:
84
Step-by-step explanation:
Since we are given line OP perpendicular to line DR, then angles PDR and ODR are right angles.
Angles PDA and ADR are complementary.
Angles ODU and UDR are complementary.
Angles ADR and UDR are given as congruent.
We can conclude that angles PDA and ODU are congruent.
By AA Similarity, triangles APD and UMD are similar.
DP/DM = PA/MU
3.75/10 = 4.5/MU
3.75MU = 10 × 4.5
MU = 12 (altitude of triangle DUO)
OD = OM + MD = 4 + 10 = 14 (base of triangle DUO)
area = base × height / 2
area = 14 × 12 / 2
area = 84
Answer:
3^x + 10x+2x-4
Step-by-step explanation:
f(x) = 3^x + 10x and g(x) = 2x - 4
(f + g)(x)= 3^x + 10x+2x-4
Answer:
Solution-
We know that,
Residual value = Given value - Predicted value
The table for residual values is shown below,
Plotting a graph, by taking the residual values on ordinate and values of given x on abscissa, a random pattern is obtained where the points are evenly distributed about x-axis.
We know that,
If the points in a residual plot are randomly dispersed around the horizontal or x-axis, a linear regression model is appropriate for the data. Otherwise, a non-linear model is more appropriate.
As, in this case the points are distributed randomly around x-axis, so the residual plot show that the line of regression is best fit for the data set.
Hope this helps!
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Lets calculate the points:</u>
- Art - 2 hrs - B (3) ⇒ 2*3 = 6 points
- History - 3 hrs - A (4) ⇒ 3*4 = 12 points
- Science - 4 hrs - C (2) ⇒ 4*2 = 8 points
- Math - 3 hrs - B (3) ⇒ 3*3 = 9 points
- Lab - 1 hr - A (4) ⇒ 1*4 = 4 points
<u>Totals</u>
- Total hours = 13
- Total points = 39
<u>GPA = total points/ total hours</u>
Correct option is C
Yes because 1 1/4 + 1 1/2 = 2 3/4
