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marusya05 [52]
2 years ago
9

Complete the equation describing how x and y are related.

Mathematics
1 answer:
shusha [124]2 years ago
7 0

Answer:

y=-5.5x+-5

Step-by-step explanation:

<em>the slope is -5.5</em>

<em>the y-intercept is what the y-axis is when the x-axis is zero</em>

<em>therefore the y-intercept is -5</em>

hope this helps

have a nice day!!

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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
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.

4 0
3 years ago
I know they are similar because of equivalent angles but im not sure how to explain
o-na [289]
In ΔDCE + ΔGFH,
∠C = ∠F (given)
∠D = ∠C (angle sum of a triangle)
∠H = ∠E (angle sum of a triangle)
∴ ΔDCE is similar to ΔGFH
Hope this helps!
6 0
3 years ago
Daniella is solving 8/9 divided by 4. find her mistake and correct it.​
Korolek [52]

Answer:

the answer is 2/9.

Step-by-step explanation:

8/9÷4

= 8/9 × 1/4

= 8/36

=2/9

6 0
3 years ago
A house costs £284,009.what is 5% of this?<br> What is 75% of £80?
zepelin [54]
5.68018 million UK£60 UK£
6 0
3 years ago
True or False: Cold air is more dense than warm air, causing it to sink and hover near the ground.
GuDViN [60]

Answer:

True! :)

Step-by-step explanation:

3 0
3 years ago
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