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Your basal metabolic rate is the amount of energy (in calories) your body needs to function at rest. The Harris-Benedict formula is used to estimate the basal metabolic rate. There is one formula for adult males and another for adult females. In these formulas w is your body weight in pounds, h is your height in inches, a is your age in years,
M = M(w, h, a)
is the basal metabolic rate for adult males, and
F = F(w, h, a) is the basal metabolic rate for adult females:
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The income tax T owed in a certain state is a function of the taxable income I, both measured in dollars. The formula is given below.
T(
Calculate the tax owed on a taxable income of $12,000.
$
(b) If your taxable income increases from $12,000 to $14,000, by how much does your tax increase?
$
(c) If your taxable income increases from $14,000 to $16,000, by how much does your tax increase?
$
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A roast is taken from the refrigerator (where it had been for several days) and placed immediately in a preheated oven to cook. The temperature R = R(t) of the roast t minutes after being placed in the oven is given below. R = 375 − 338e−0.007t degrees Fahrenheit
(a) What is the temperature of the refrigerator?
(b) Express the temperature of the roast 45 minutes after being put in the oven in functional notation.
Calculate the value of the above term. (Round your answer to two decimal places.)
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There is a formula that estimates how much your puppy will weigh when it reaches adulthood. The method we present applies to medium-sized breeds. First find your puppy’s weight w, in pounds, at an age of a weeks, where a is 16 weeks or less. Then the predicted adult weight
in pounds, is given by the formula
w |
a |
.
(b) Calculate the predicted adult weight for the puppy from part (a). (Round your answer to two decimal places.)
lbs
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M | = | 66 + 6.3w + 12.7h − 6.8a |
F | = | 655 + 4.3w + 4.7h − 4.7a. |
Use functional notation to express the basal metabolic rate of a 16 year old female that weighs 146 pounds and is 78 inches tall.
Calculate this value.
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City water, which is slightly chlorinated, is being used to flush a tank of heavily chlorinated water. The concentration C = C(t) of the chlorine in the tank t hours after flushing begins is given by the following formula.
(a) What is the initial concentration of chlorine in the tank?
________________________________________________
Calculate the concertraction of chlorine in the tank after 2 hours. (Round your answer to two decimal places.
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A television commerical claims that 1 out of 5 of “today’s marriages” began as an online relationship. Assuming that this is true, calculate the following for eight randomly selected “today’s marriages”
A. the probability that at least one began online
B, the probability that 2 or 3 began online
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A television commerical claims that 1 out of 5 of “today’s marriages” began as an online relationship. Assuming that this is true, calculate the following for eight randomly selected “today’s marriages”
A. the probability that at least one began online
B, the probability that 2 or 3 began online
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x |
2 − x |
+
3x + 5 |
x2 − 4 |
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The aquarium at Sea Critters Depot contains 140 fish. 80 of these fish are
green swordtails 44 female and 36 male & 60 are orange swordtails 36 female
& 24 males. A fish is randomly captured from the aquarium: (Round
your answer to 4 decimal places.)
Probability the selected fish is a green swordtail? Pobability the
selected fish is male? Probability the selected fish is a male green swordtail?
Probability the selected fish is either a male or a green swordtail?
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