2.25 for the first mile. That leaves 4.2 miles.
4 * 0.1 = 0.4
0.15 * 4 = $6.00
0.15 * 2 = 0.3
$6.30 + $2.25 = $8.55
$10.00 - $8.55 = $1.45
The driver's tip was $1.45.
Answer:
A) is a function
B) f(x) is greater
C) x = 12
Step-by-step explanation:
A) Yes, the relation is a function.
A function has a unique input value for each output value. There are no repeated x-values, so this relation is a function.
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B) The table says y=6 for x=6.
f(6) = 2(6)+16 = 28
f(x) has a greater value for x=6.
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C) Substituting the given information, we have ...
40 = 2x +16
24 = 2x
12 = x
The value of x is 12 when f(x) is 40.
She poured 5 servings because 5 x 4 1/2 = 22 1/2. so when you add the left over 1 1/2 to that you get 24
Given that ABC is a right triangle.
The length of AC = 10 and AB = 17
We need to determine the m∠B
<u>The measure of ∠B:</u>
The side opposite to ∠B is AC and the hypotenuse of the triangle is AB
The m∠B can be determined using the trigonometric identity,
![sin B=\frac{opp}{hyp}](https://tex.z-dn.net/?f=sin%20B%3D%5Cfrac%7Bopp%7D%7Bhyp%7D)
where
and ![hyp=AB](https://tex.z-dn.net/?f=hyp%3DAB)
Substituting, we get;
![sin B=\frac{AC}{AB}](https://tex.z-dn.net/?f=sin%20B%3D%5Cfrac%7BAC%7D%7BAB%7D)
Substituting the values, we get;
![sinB=\frac{10}{17}](https://tex.z-dn.net/?f=sinB%3D%5Cfrac%7B10%7D%7B17%7D)
![sin B=0.588](https://tex.z-dn.net/?f=sin%20B%3D0.588)
Taking
on both sides of the equation, we have;
![B=sin^{-1}(0.588)](https://tex.z-dn.net/?f=B%3Dsin%5E%7B-1%7D%280.588%29)
![B=36.015^{\circ}](https://tex.z-dn.net/?f=B%3D36.015%5E%7B%5Ccirc%7D)
Rounding off to the nearest tenth, we get;
![B=36.0^{\circ}](https://tex.z-dn.net/?f=B%3D36.0%5E%7B%5Ccirc%7D)
Hence, the measure of ∠B is 36.0°
I will assume the question is log (8x) = 4/3
This means, "The exponent we put on 10 to get 8x is 4/3"
10^(4/3) = 8x
x = [10^(4/3)]/8
x = 2.69
log (8*2.69) = 4/3 ?
log (21.52) = 4/3
1.33 = 4/3
1.33 = 1.33