Answer:
11 months
Step-by-step explanation:
The initial number of baseball cards that Chris has is 20.
This is like the first term of a sequence.
If Chris is adding 3 baseball cards per month, then there will be a constant difference of 3.
The number of baseball cards after months is given by the formula;
where
Similarly, Kyle initially has 40 baseball cards and adds one base ball card per month to his collection;
The number of his baseball cards after months is given by the formula;
To determine the number of months that will pass before Kyle and Chris have the same number of base ball cards, we equate both equations to get;
We group like terms to get;
Therefore Chris and Kyle will have the same number of baseball cards after 11 months.
By setting equal the linear expressions for how many baseball cards Chris and Kyle have after a given number of months, we find that it will take 10 months for them to have the same number.
The question is essentially asking how long it will take for Chris and Kyle to have the same number of baseball cards. It's a problem about linear expressions, rooted in mathematics. Chris starts with 20 baseball cards and adds 3 per month. We can express this as C = 20 + 3m, where m is the number of months. Kyle starts with 40 baseball cards and adds 1 per month. We express this as K = 40 + m.
We want to find out when Chris and Kyle will have the same number of cards, so we set C = K, which results in 20 + 3m = 40 + m. By solving this equation, we can condense it to 2m = 20 or m = 10. Therefore, it will take 10 months for Chris and Kyle to have the same number of baseball cards.
#SPJ12
b. (g o f)(x)
c. (f o g)(-2)
d. (g o f)(-2)
1.6 ft
9.8 ft
19.6 ft
Approximately, how long does it take until the soccer ball hits the ground again?
0.6 sec
0.8 sec
1.6 secs
2.8 secs
Answer:
Maximum height=9.8 ft and Time taken by soccer ball will be 0.8 secs
Step-by-step explanation:
Since, the ball kicked will take the motion of projectile, therefore using the equation: h(t)= , where h(t) is the height of the soccer ball, a is the acceleration whose value is -16 ft/sec^2 and v= 35 feet and d is the starting height which is equal to zero.
Therefore, h(t)= (1)
Differentiating this equation with respect to t,
=
=
=
Substituting the value of t in equation (1),
=
=
≈9.8ft
Hence, option C is correct.
Now, In order to determine the time taken until the soccer ball hits the ground, we take the equation:
Since, when the ball hits the ground, the height will become equal to zero, therefore we have, h(t)=0
Now,
Then, one solution is t=0 and the other is:
≈
Hence, option B is correct.
Answer:
9.8 ft for the maximum height
1.6 sec for the time it’ll take for the ball to hit the ground again
I just took a test and it shows me what I got wrong alongside the correct answers. And this was a question it asked.