Answer: 109.1 degrees
Step-by-step explanation:
To find the angle between the given vectors, we will use the formula below:
Cos(θ) = (U.V)/ |U|.|V|
Where
U = 13i - 8j
V = 2i + 9j
U.V = (2x13) + (-8×9)
U.V = 26 - 72
U.V = - 46
|U| = sqrt ( 13^2 + 8^2)
= sqrt ( 233) = 15.264
|V| = sqrt( 2^2 + 9^2)
= sqrt ( 85 ) = 9.22
Substitute all the value of the parameters into the formula
Cos ø = -46 / (15.3 × 9.2)
Cos ø = - 46 / 140.72
Cos Ø = - 32687
Find the cos inverse of the value
Ø = cos^-1( -32687)
Ø = 109.079 degrees
Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees
Using <u>linear function concepts</u>, it is found that the correct option is:
The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.
A linear function is modeled by:

In which:
- m is the slope, which represents by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- The explanatory variable fat is the input.
- The response variable calories is the output.
The equation is:

- The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.
- The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.
Thus, the correct option is:
The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.
A similar problem is given at brainly.com/question/16302622
Answer:
B,C,E
Step-by-step explanation:
Done this before. A is the first and so on and so forth
Answer:
Yes
Step-by-step explanation:
12 divided by 2 = 6, 24 divided by 4 = 6, 36 divded by 6 = 6, 48 divded by 8 = 6, 60 divided by 10 = 6.
All answers have 6 so yes it is proportional.
Answer:
Exact Form:
−4/11
Decimal Form:
−
0.36
Step-by-step explanation:
Subtract 5/11 from 9/11 to get your answer.
Simplify the expression.
<em>-kiniwih426</em>