2. Definition of midpoint
3. Given
4. Transitive property
h(t)=(t+3) 2 +5 h, left parenthesis, t, right parenthesis, equals, left parenthesis, t, plus, 3, right parenthesis, squared, plu
lesya692 [45]
Answer:
1
Step-by-step explanation:
If I understand the question right, G(t) = -((t-1)^2) + 5 and we want to solve for the average rate of change over the interval −4 ≤ t ≤ 5.
A function for the rate of change of G(t) is given by G'(t).
G'(t) = d/dt(-((t-1)^2) + 5). We solve this by using the chain rule.
d/dt(-((t-1)^2) + 5) = d/dt(-((t-1)^2)) + d/dt(5) = -2(t-1)*d/dt(t-`1) + 0 = (-2t + 2)*1 = -2t + 2
G'(t) = -2t + 2
This is a linear equation, and the average value of a linear equation f(x) over a range can be found by (f(min) + f(max))/2.
So the average value of G'(t) over −4 ≤ t ≤ 5 is given by ((-2(-4) + 2) + (-2(5) + 2))/2 = ((8 + 2) + (-10 + 2))/2 = (10 - 8)/2 = 2/2 = 1
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Answer:
She asked 10 friends to buy tickets.
Step-by-step explanation:
If each ticket sells for 3 dollars, you can get the amount of people that bought the tickets by taking the amount earned divided by the price of the ticket.
$18 / $3 = 6
If 6 friends bought tickets and 4 friends did not, add the two together and you will get how much people Monica asked.
6 + 4 = 10
She asked 10 friends to buy tickets.
Answer:
a_{n} = a_{1} + (n-1)d
a_n = the nᵗʰ term in the sequence
a_1 = the first term in the sequence
d = the common difference between terms
The general term of an arithmetic sequence can be written in terms of its first term a1, common difference d, and index n as follows: an=a1+(n−1)d. ... The nth partial sum of an arithmetic sequence can be calculated using the first and last terms as follows: Sn=n(a1+an)2.
It will take 83 1/3 tiles to fill the wall.
Let x be the entire wall:
3/5x = 50
Divide both sides by 3/5:
x = 50 ÷ 3/5
x = 50/1 ÷ 3/5
x = 50/1 × 5/3
x = 250/3 = 83 1/3
