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MaRussiya [10]
3 years ago
11

Find the midpoint of the line segment.

Mathematics
1 answer:
Alik [6]3 years ago
8 0

Answer:

(1, 3)

Step-by-step explanation:

The first endpoint (the one on the left) is (-3, 2). The second endpoint (the one on the right) is (5, 4). To find the midpoint, find the middle of both x and y. To do that, add the values of x and y respectively and divide by 2:

for x-value of midpoint:

(x-value of first endpoint + x-value of second endpoint) / 2

= (-3 + 5) / 2

= 2 / 2

= 1

for y-value of midpoint

(y-value of first endpoint + y-value of second endpoint) / 2

= (2 + 4) / 2

= 6 / 2

= 3

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Change 90 euros to pounds
kati45 [8]

Answer:

The exact amount of British pounds would be 81.769

Step-by-step explanation:

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3 years ago
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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
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Answer:

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

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(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
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icang [17]
The answer is 2.2108
Solution:
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2nd equation:-d + 6h = 21.77d = 6h - 21.77
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Answer:

You do Thisbe

Step-by-step explanation:

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