Answer:
311 students prefer sushi
Step-by-step explanation:
Let
x------> the number of students who prefer pizza
y -----> the number of students who prefer sushi
we know that
-----> equation A
-----> equation B
Substitute the equation B in equation A and solve for y
P = mv
p and v are directly related. If the velocity is doubled then so is the momentum..
new momentum = 2p
Answer:
Darius is correct if only the median score is considered.
Step-by-step explanation:
Darius scores are; 96, 54,120, 87, 123
arrange the scores in increasing order;
54,87,96,120,123
mean = (54+87+96+120+123)/5 =480/5 =96
median =96
Barb's scores are 92,94,96,98,110
mean=(92,94,96,98,110)/5 =490/5=98
median score=96
⇒if the median score only is considered; then it is a tie because the score is 96 in both players.
Answer:
The correct option is A). $112295.05
Step-by-step explanation:
The equation for approximating the total cost is given to be :
y = 1.55x + 110419 , where x is the annual household's income and y is the total cost in dollars of raising a child in the united states from birth to 17 years
We need to calculate the total cost of raising a child in the united states from birth to 17 years if the annual household's income is given to be $1211
So, for this we will use the given equation and substitute x = 1211 and find the value of y which will be our total cost
⇒ Total cost , y = 1.55 × 1211 + 110419
⇒ y = 1877.05 + 110419
⇒ y = 112296.05 ≈ 112295.05
Hence, The approximate total cost of raising a child from birth to 17 years in a household with a weekly income of $1211 = $112295.05
Therefore, The correct option is A). $112295.05
Answer:
Part A: From 0 to 2 seconds, the height of the water balloon increases from 60 to 75 feet, therefore the water balloon's height is increasing during the interval [0,2]
Part B: From 2 to 4 seconds, the height of the water balloon stays the same at 75 feet, therefore the water balloon's height is the same during the interval [2,4] From 10 to 12 seconds, the height of the water balloon stays the same at 0 feet, therefore the water balloon's height is the same during the interval [10,12] From 12 to 14 seconds, the height of the water balloon stays the same at 0 feet, therefore the water balloon's height is the same during the interval [12,14]
Part C: The interval, [4,6] of the domain is when the water ballon's height decreases the fastest. The interval [4,6] decreases by 35 feet. The two other intervals that decrease are [6,8] and [8,10] which both have the same slope. They decrease by 20 feet. Therefore, this helps us conclude that the interval [4,6] decreases the fastest because 35 feet is a more significant decrease than 20 feet.
Part D: I predict that the height of the water balloon at 16 seconds is 0 feet. This is because at 10-14 seconds, the water balloon's height is 0 feet. In read-world situations, if the water balloon is on the ground which is 0 feet, it stays on the ground due to gravity.
Step-by-step explanation:
I hope this helps! I also do not know if it is all correct but I did research and everything so hopefully it is correct! Good luck!
