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uysha [10]
3 years ago
6

What is the slope of the equation y= 5/4x - 7/4? –7 -7/4 5/4 5

Mathematics
1 answer:
Scilla [17]3 years ago
5 0

Answer:

5/4

Step-by-step explanation:

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A sphere has a diameter of 24 units. What is its volume in cubic units?
horrorfan [7]
The volume of a sphere is a 3/4 pi r^2 so we know the radius is 12 so 12 square is 144 pi 144*3=432 /4=108. volume is 108 pi cubed units
7 0
2 years ago
The population of a certain species of fish has a relative growth rate of 1.1% per year. It is estimated that the population in
Juliette [100K]

Answer:

(a) n(t) = P(0)*e^(0.010939940t)

(b) 12,674,681 (nearest unit)

(c) 14 years (nearest year)

Step-by-step explanation:

rate = 1.1% / year = 1.011

(a)

P(0) = 12,000,000  = population in 2010

In compound interest format, after t years

P(t) = P(0)* (1.011)^t

Given format = P(0)* e^(rt)

therefore

e^(rt) = 1.011^t       use law of exponents

(e^r)^t = 1.011^t

e^r = 1.011

r = log_e(1.011) = 0.010939940   (to 9 decimal places)

required formula is

n(t) = P(0)*e^(0.010939940t)

(b)

in 2015,

P(0)=12000000, n = 5 (years after 2010)

n(5) = 12000000*e^( 0.010939940 * 5 ) = 12,674,680.6 = 12,674,681 (nearest unit)

(c)

to reach 14 million, we equate

n(t) = 14,000,000

12,000,000 *e^(0.010939940*t) = 14,000,000

e^(0.010939940*t) = 14000000/12000000 = 7/6

take log on both sides

0.010939940*t = log(7/6)

t = log(7/6) / 0.010939940 = 14.091 years = 14 years to the nearest year.

See graph attached.  Y-axis is in millions, x-axis is in years.

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3 years ago
Todd begins piano practice at 4:15 P.M. and ends at 5:50 P.M. How long does he practice?
marta [7]
If He began at 4:15 and ended at 5:50 then that would be 95 minutes
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3 years ago
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Answer:

x = 5/8 = 0.625

Step-by-step explanation:

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2 years ago
Which Expression is a factor of 16a2 − 25
kipiarov [429]

Answer:

should be (4a-5)x(4a+5)

Step-by-step explanation:

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