12.) m=26
19-(-7)/-1-(-2)=26
13.) 14
8-(-20)/5-3=14
14.) -4/5 is the slope
Count rise over run and always make sure whether to add a negative based on the direction of the line. In this situation, the line is negative so there is a negative sign present.
Answer:
Step-by-step explanation:
The maximum is achieved at vertex of parabola.
The x- coordinate of the vertex is determined by x = - b/(2a).
The maximum height is the corresponding y- coordinate
- y = - 0.5(15²) + 15(15) = 112.5 ft
Answer:
b = 4.66666667
Step-by-step explanation:
The equation for finding the area of a triangle is
0.5b x h = a
b = base
h = height
a = area
So I calculated 14 divided by 6
And got 2.3333333
And since that number is half of the base, I multiplied it by 2
2.333 x 2 ≈ 4.66666667
Answer:
C. 2 percent cash discount if paid prior to 15 days, if customer does not take a cash discount, the balance is due in 45 days.
Step-by-step explanation:
2/15 net 45 translates as 2 percent cash discount if paid prior to 15 days, if customer does not take a cash discount, the balance is due in 45 days.
From the calculation, the growth rate is 0.88.
<h3>What is the growth rate?</h3>
To find the relative growth rate
P1 = Poe^rt
P2 = Poe^rt
Thus;
1920 = Poe^4r ------ (1)
1966080 =Poe^12r -------(2)
P2/P1 gives;
1966080/1920 = Poe^12r/Poe^4r
1024 = e^12r/e^4r
1024 =e^8r
1024 = (e^r)^8
2^10 = (e^r)^8
e^r = 2^1.25
e^r = 2.38
r = ln(2.38)
r = 0.88
The initial size of the culture is;
1920 = Poe^(0.88 * 4)
Po = 1920/e^(0.88 * 4)
Po = 57
The expression for the exact number of bacteria after t hours is
P(t) = 57e^0.08t
The growth (in bacteria per hour) after 9.5 hours is
P(t) = 57e^(0.88 * 9.5)
P(t) = 243544
For the number to reach 72,000;
72,000 = 57e^0.88t
72,000/57 = e^0.88t
ln 126 = ln[e^0.88t]
4.8 = 0.88t
t = 4.8/0.88
t = 5.5 hours
Learn more about exponential growth;brainly.com/question/13674608
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