the expression 16t^2 models the distance in feet that an object falls during t seconds after being dropped. what distance will an object fall in 4 seconds?
Answers
The distance an object falls in 4 seconds is 256 feet.
Given,
The expression 16t² models the distance in feet that an object falls during t seconds after being dropped.
We need to find out what distance will an object fall in 4 seconds.
What is a function?
A function has an input and an output.
Example:
f(x) = x + 1
x = 1
f(1) = 1 + 1 = 2
Input = 1
Output = 2
Find the expression that describes the distance at t seconds.
= 16t²
Find the distance at t = 4.
We have,
= 16t²
= 16 x 4²
= 16 x 16
= 256
Thus the distance an object fall in 4 seconds is 256 feet.
Learn more about finding distance at 2 seconds from a given expression here:
#SPJ2
1. it fell in 2 seconds so plug the "t" with 2
2. 16*4² ⇒ 4² = 16
3. 16*16 = 256
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Answers
Answer:
The correct answer is second option 16C₁₄ = 120
Step-by-step explanation:
Formula:-
nCr = (n!)/r!(n - r)!
To find the value of 16C₁₄
By the formula we can write,
16C₁₄ = 16!/14!(16 - 14)!
= 16!/14!2!
= (16 * 15 * 14!)14!2!
= (16 * 15)/(1 * 2 )
= 8 * 15
= 120
Therefore the correct answer is second option 16C₁₄ = 120
Answer:
120
Step-by-step explanation:
we use the combinations formula
16!/((16-14)!(14!))
Answers
So for the a's you have to do 3-3 and get 0.
8a
For the b's you have to do 2-2
3b
The final answer is 8A-3B
100 – 36x2y2
16x2 + 24xy + 9y2
49x2 – 70xy + 10y2
Answers
Answer:
C.
Step-by-step explanation:
We have been given 4 expressions and we are asked to choose the expression that is a perfect square trinomial.
We know that a perfect square trinomial is in form: .
Upon looking at our given choices we can see that option C is the correct choice as we can write as:
Therefore, option C is the correct choice.
A perfect square trinomial is found in the expression where both the leading coefficients and the constant are both perfect squares. That only is the case with the third choice above. 16 is a perfect square of 4 times 4, and 9 is a perfect square of 3 times 3. We need to set it up into its perfect square factors and FOIL to make sure, so let's do that. Not only is 16 a perfect square in that first term, but so is x-squared. Not only is 9 a perfect square in the third term, but so is y-squared. So our factors will look like this:
(4x + 3y)(4x + 3y). FOIL that out to see that it does in fact give you back the polynomial that is the third choice down.
Answers
Answer:
Problem 1:
The student is wrong, the lines have NO SOLUTION, infinite solutions, because the lines don't intersect in any areas.
Problem 2:
The student is correct, because the lines intersect at (-3,-2)
Step-by-step explanation:
Answers
Answers
We can reduce the fraction by dividing
the numerator and denominator by 36
and get our simplified answer
252 ÷ 36 / 288 ÷ 36=
7 /8
If you notice they are both divisible by any number, divide them both by this number to simplify until they share no common factors.
252 and 288 are both divisible by 2.
252/288 = 126/144
126 and 144 are both divisible by 2.
126/144 = 63/72
63 and 72 are both divisible by 3.
63/72 = 21/24
21 and 24 are both divisible by 3.
21/24 = 7/8