Y=-4 is linear, anything not linear would be a quadratic in this instance
Answer: The first outcome shall be 0.33 or 33%.
The second outcome would be 0.5 or 50%
Step-by-step explanation: The bag contains exactly one yellow, one red and one green marble. So when he draws the first marble the sample space shall be the total possible outcomes, which is three, since he has three (3) marbles altogether. When he draws the first time without looking, all three marbles have an equal probability of being picked which can be derived thus;
P(Red) = Number of required possibilities/Number of all possibilities
P(Red) = 1/3
P(Red) = 0.33
Note that there is only one marble of each color which means P(Yellow) and P(Green) is also 0.33 respectively.
After choosing the first marble, without replacing the first one he now chooses another marble. The sample size would have reduced to 2 (since one marble has been drawn). Hence, the outcome when he draw a second marble can be calculated as follows;
P(Red) = Number of required outcomes/Number of possible outcomes
P(Red) = 1/2
P(Red) = 0.5
Use the sin(a - b) formula.
<span>sin(90 - x) = </span>
<span>sin90 cosx - cos90 sinx = </span>
<span>1 cosx - 0 sinx = </span>
cosx
Answer:
b. $31.44
Step-by-step explanation:
The tank holds 11.75 gallons. Tim will need to get half of this amount to bring the tank back up to half full; this is
11.75/2 = 5.875
The gas costs $4.50 per gallon; this means the cost is
5.875(4.50) = 26.4375 ≈ 26.44.
There is also a $5 refueling charge; this makes the total cost
26.44+5 = 31.44
You are not right on #46. Since he is going 50 miles in 50 minutes, that means that he is going a mile a minute. That means in an hour, he will have gone 60 miles. That means he will have been going 60 mph, so the correct answer is (4)
I cannot help you with 47 because you did not include the picture it shows.
