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The amount of caffeine present in the human body after consumption can be modelled by an exponential function of the form C= AxB^t where t is the elapsed time, in hours, and C is the amount of caffeine remaining, in milligrams. In the morning, Steve drinks a Monster Energy ™ and in the evening he prefers Code Red Mountain Dew© before he plays Pokémon®. The equations of the exponentials functions that model Steve’s caffeine consumption are shown below.
Monster Energy C= 55 (1/2)^t Mountain Dew C=110 (1/2)^T
Using the numerical values in the functions above, compare the information that these values provide
clare decided to celebrate her birthday with children from orphanage aside from the packed meals she bought 125 cookies and 600 candies as prizes from games how many prizes can she make answer
Paleontology – The following table shows the length, in centimeters, of the humerus and the total wingspan, in centimeters, of several pterosaurs, which are extinct flying reptiles
a. Find the equation of the least – squares line for the data. Round constants to the nearest hundredth.
b. Use the equation from part a to determine, to the nearest centimeter, the projected wingspan of a pterosaur if its humerus is 54 cm.
Represent 0.000001235432 and 257890000012 as floating point numbers in normalised form using chopping for first number and rounding for second number.
Determine the truth value of the following conditionals and biconditionals.
1. If x is an even integer, then x2 is an even integer.
2. If all frogs can dance, then today is Monday.
3. If 4 < 3, then 8 = 8.
4. x2 = 9 if and only if x = 3.
5. 4 = 7 if and only if 2 = 3.
Write each symbolic statement as an English sentence. Use p, q, r, s and t as defined below.
p: Taylor Swift is a singer.
q: Taylor Swift is not a singer.
r: Taylor Swift is an actress.
s: Taylor Swift plays the piano.
t: Taylor Swift does not play the guitar.
(p r) q
s (p )
t (r )
Substitute the value of time t=2 and k=10.
d=k t
d=(10)(2)
d=20
If x = e^ty^2 , t= V cos v , y= v sin v. Find dx/dv at v= 3.142/2
Customers’ establishing new bank accounts at the BSP bank in Suva are expected to average 10 minutes each. Numerous observations of these samples were taken, as presented below. From the sample data given, construct the relevant control charts. Do the results suggest that the process is in control? Why or why not? Explain
Sample 1
9.5
10.3
9.9
10.3
Sample 2
9.6
10.2
8.4
9.9
Sample 3
10.5
10.4
10.9
8.9
Sample 4
9.8
10.2
9.9
10.8
Sample 5
10.8
9.7
10.3
10.5
Sample 6
10.8
10.6
10.1
10.5
Use the polya's problem solving strategy.
1. Mr. Jonas has a total of 25 chickens and cow on his farm. How many of each does he have if all together there are 76 feet?
2. Karen is thinking of a number. If you double it and subtract 7 you obtain 11. What id karen's number?
Using polya's strategy solve the given problem
In consecutive turns of a monopoly game, stacy first paid 800 pesos for a hotel. She then lost half of her money when she landed on boardwalk. Next, she collected 200 pesos for passing GO. She then lost half her remaining money when she landed on Illinois avenue. Stacy now has 2500 pesos. How much did she have just before she purchased the hotel?
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