<h3>Answers:</h3>
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Explanation:
x = number of seconds that elapse
y = altitude (aka height) of the plane
The equation for plane A is
y = 20.25x+2652
because it starts off at 2652 ft in the air, and then adds on 20.25 feet per second which is what the 20.25x describes
The equation for plane B is
y = 75.5x
The y intercept is zero because plane B starts on the ground, aka height 0.
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The system of equations is
If we want to know when they'll reach the same height (y), then we can set the two right hand sides equal to each other and solve for x.
75.5x = 20.25x+2652
75.5x-20.25x = 2652
55.25x = 2652
x = (2652)/(55.25)
x = 48
The two planes reach the same altitude at exactly <u>48 seconds</u>
That altitude is <u>3624 feet</u> because
- y = 20.25*x + 2652 = 20.25*48+2652 = 3624
- y = 75.5*x = 75.5*48 = 3624
Notice I plugged x = 48 into each equation and I got the same y value of y = 3624. This helps confirm the answers.
Answer:
No it cannot be concluded.
Step-by-step explanation:
The probability of getting the disease in the first attempt is 50%
The probability of getting the disease in the second attempt is 50%
Thus the probability of getting the disease in either of the turns is 50%+50%=100% (which may seem to be true)
BUT
The probability of not getting the disease in the first attempt is 50%
The probability of not getting the disease in the second attempt is 50%
Thus the probability of not getting the disease in either of the turns is 50%+50%=100% (which is also true for this case)
Thus the probability of getting the disease in either of the 2 contacts is still 50%
You have a 33.33% chance to get it right each time
multiply 33.33%*33.33%*33.33%= .3333*.3333*.3333
it equals about 4%
Answer:
Your answer is B
Step-by-step explanation:
There are 3 kids ages 9-10, so that's the first 3.
There are 10 kids ages 10-11, so that's the second 10.
There are 6 kids ages 11-12, so that's the third 6.
add those kids up and you get 19
"Completing the square" is a step in the solution of quadratic equations. It can be accomplished without the guesswork or trial-and-error associated with methods like factoring, and it always leads to a solution. It is the method by which the quadratic formula is derived.
