Remember PEMDAS (Parenthesis, Exponents, Multiplication, Divison, Addition and Subtraction)
Also note that Multiplication and Division needs to be done left to right and the same goes for Addition and Subtraction.
So in your problem, the first operation we need to do is division.
68 - (18/3) x 6
68 - 6 x 6
Now we do multiplication
68 - 6 x 6
68 - 36
Finally we do subtraction because that's the only operation we have left to do
68 - 36 = 32
So your answer should be 32.
Answer: The first option.
Explanation: 376/93 = 4 4/94, while 376/93.01 = 4.04257606709....., which is less than 4 4/94, therefore the first option has the greatest quotient.
Answer:
(5,7)
Step-by-step explanation:
Substitute 2x-3 for y in the 2nd equation, obtaining: x + 2x - 3 = 12. Then 3x = 15, and x = 5. Subbing 5 for x in the 1st equation results in: y = 2(5) - 3 = 7. The solution is therefore (5,7).
For question 11, you essentially need to find when h(t) = 0, since that is when the height of the ball reaches 0 (ie touches the ground).
For question 12, it is asking for a maximum height, so you need to find when dh/dt = 0 and taking the second derivative to prove that there is maximum at t. That will find you the time at which the ball will hit a maximum height.
Rinse and repeat question 12 for question 13
Answer:
Sample space = {(MTR), (MTV) (MPR) (MPV) (ATR) (ATV) (APR) (APV)}
Step-by-step explanation:
When they ask for the sample space they want to know all the possible combinations for:
Toppings Meats Dressings
M = Mushrooms T = Turkey R = Ranch
A = Asparagus P = Pepperoni V = Vinaigrette
The easiest way to see all the combinations is doing a tree diagram in which you put all the posible options, as in the image.
After that you just follow each of the lines to make all the posible combinations form which we get:
Sample space = {(MTR), (MTV) (MPR) (MPV) (ATR) (ATV) (APR) (APV)}
