The answer is $80 because it's $40 per person so two people is $80
The total number of possible fivey sequences are; 6
<h3>How to solve a sequence?</h3>
We are told we are dealing with a fivey sequence which means that all the terms of the sequence must be positive integers and they must add up to 5.
Now, the possible numbers that can be used are;
1, 2 and 3.
If we start with 3, number of possible sequences is; 1
If we start with1, number of possible sequences is; 3 ways
If we start with 2, number of possible sequences is; 2 ways
Thus;
Total number of fivey sequences is 1 + 2 + 3 = 6 possible sequences
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Answer:
Time,t that it will elapse before the concerntration of the dye in the tank reaches1% of its original value is 460.52 seconds
Step-by-step explanation:
Let Q(t) = amount of dye for all time,t.
Let Q'= rate in - rate out.
But Q/200 = concerntration of dye
Therefore rate out= Q/200 ×2.
Q'/Q = - 1/100
Dividing by Q gives
Ln/Q/ + c = -1/100t + c1
Integrating both sides with respect to t
Ln/Q/ = -1/100t + c2.
c1 and c1 are just another constants
Q= c3e^-t/100
Exponentiating both sides will cause the absolute values to get absorbed into the constants giving rise to a new constant c3
200= c3-0/100
c3= 200
2= 200e^-t/100
Ln1/100= - t/100
Ln0.01 = - t/ 100
Cross multiply
t= Ln0.01 × 100
t = 4.6052 ×100
t = 460.52seconds
Answer:
Step-by-step explanation:
When given a point and a slope, the best equation to use is the point-slope formula, y - k = m(x - h)
which here becomes:
y - 0 = m(x + 1), or y = (-2/3)(x + 1), or y = (-2/3)x - 2/3
If you want this in standard form, first clear the fractions by multiplying all terms by 3: 3y = -2x - 2
Now add 2x to both sides, obtaining: 2x + 3y = -2 (in "standard form."
17 . Find the values of g(9) and h(-14) and add them together.
The function equations are given to find their values substitute 9 in g(x) and -14 in h(x)
20. They said f(x) = 2x + 9 and f(x) = 15 , which means they are equal to each other.
So write them as 2x + 9 = 15 , and solve the equation to find the value of x.
25. Here all you have to do is substitute 4 into the f(x) equation to find f(4)and you will have your answer.
Hope this helped!
