Amaya is standing 30 ft from a volleyball net. The net is 8 ft high. Amaya serves the ball. The path of the ball is modeled by t
1 answer:
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Let us see... ideally we would like to have all equations with the same exponent or the same base so that we can compare the rates. Since the unknown is in the exponent, we have to work with them. In general, ![x^(y/z)= \sqrt[z]{x^y}](https://tex.z-dn.net/?f=x%5E%28y%2Fz%29%3D%20%5Csqrt%5Bz%5D%7Bx%5Ey%7D%20)
.
Applying this to the exponential parts of the functions, we have that the first equation is equal to:
250*(![\sqrt[5]{1.45} ^t](https://tex.z-dn.net/?f=%20%5Csqrt%5B5%5D%7B1.45%7D%20%5Et)
)=250*(1.077)^t
The second equation is equal to: 200* (1.064)^t in a similar way.
We have that the base of the first equation is higher, thus the rate of growth is faster in the first case; Choice B is correct.
Applying this to the exponential parts of the functions, we have that the first equation is equal to:
250*(
The second equation is equal to: 200* (1.064)^t in a similar way.
We have that the base of the first equation is higher, thus the rate of growth is faster in the first case; Choice B is correct.
Answer:
(3,6)
Step-by-step explanation:
Given that Mila reads at a rate of 2 paragraphs per minute. After reading for 3 minutes, she had read a total of 6 paragraphs.
This situation can be represented with a linear equation written in slope-intercept form, as
where 'x' represents the number of minutes and,
y represents the number of paragraphs.
Since y intercept is 0 i.e. 0 paras in 0 minutes we have the equation as
Since no of minutes or paragraphs cannot take negative values this line is defined only in the I quadrant where both x and y are positive
Out of the points given as follows:
(3,6) (2,3) (-3,6) or (-2,6) ,
we can remove last two since they have negative x which is impossible.
Consider (3,6) (2,3)
Out of these only I point (3,6) satisfies and second point (2,3) does not satisfy
Hence answer is (3,6)
Answer:
The number of people, of the twelve, who will win a prize is 5.
Step-by-step explanation:
In a standard deck of cards there are 52 cards.
The 52 cards are divided into 4 suits: Hearts, Diamonds, Spades and Clubs, each of 13 cards.
Each of the 12 people draws 2 cards from their standard deck of cards.
Compute the probability of selecting at least 1 diamond as follows:
P (At least 1 diamond) = 1 - P (No diamond)
The probability of selecting at least 1 diamond is 0.4412.
If a person draws at least 1 diamond he wins a prize.
The expected number of people who will win the prize is:
E (Wins a prize) = n × P (At least 1 diamond)
Thus, the number of people of the twelve who will win a prize is 5.