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lions [1.4K]
3 years ago
14

The equation LaTeX: p=5000\cdot2^tp = 5000 ⋅ 2 t represents the population of an invasive fish species in a large lake, years si

nce 2005, when the fish population in the lake was first surveyed.
What was the population in 2005?
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
3 0

Answer:

10000 fish species

Step-by-step explanation:

Given

p=5000\cdot2^t

Required

Find the population in 2005

2005 is the first year

So: t = 1

Substitute 1 for t in p=5000\cdot2^t

p=5000\cdot2^t

p = 5000 * 2^1

p = 5000 * 2

p = 10000

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Factor the algebraic expression below in terms of a single trigonometric function. sin 2x + sin x - 2
Pie

Answer:

The factored form is (sin x +2)(sin x-1)

Step-by-step explanation:

We have been given the trigonometric function \sin^2 x +\sinx-2

We can factor this by AC method. In AC method we multiply the term a and c and then write the middle term b in such a way that the sum/difference is equal to the product 'ac'

Using the method, we can write sinx as 2sinx -sinx

\sin^2 x +2\sinx-\sin x-2

Now, we group the first two terms and the last two terms

(\sin^2 x +2\sinx)+(-\sin x-2)

Now, we take GCF from each group

\sin x(\sin x +2)-1(\sin x+2)

Factor out (sinx+2)

(\sin x +2)(\sin x-1)

Therefore, the factored form is (sin x +2)(sin x-1)

7 0
3 years ago
Read 2 more answers
Can i get some on these please?^^​
kotykmax [81]

Answer:

These should be right hopefully! Hope it helps!

Download pdf
6 0
3 years ago
Anyone please help me? tysm!
Oksana_A [137]

Answer:

6 ft

Step-by-step explanation:

The surface area of a cube is given by

SA = 6s^2

216 = 6s^2

Divide each side by 6

216/6 = 6s^2/6

36 = s^2

Take the square root of each side

sqrt(36) = sqrt(s^2)

6 =s

Each side is 6ft

7 0
3 years ago
Find the height of a triangle with an area of 42 square inches and base of 7 inches. Use the formula for the area of a triangle
disa [49]
A= 1/2bh

fill in formula with known numbers

42= 1/2(7)h
multiply numerators on right side

42= (1*7)/2h

42= 7/2h
divide both sides by 7/2

42 ÷ 7/2= h
to divide fractions, multiply by reciprocal/inverse of 7/2

42 * 2/7= h
multiply numerators

(42 * 2)/7= h

84/7= h

12 inches= h


ANSWER: The height is 12 inches.

Hope this helps! :)
7 0
3 years ago
Read 2 more answers
Pat is a 23 year old man. He earns a taxable income of $70,000.00, and the effective
Jobisdone [24]

Answer:

$12,594.71

Step-by-step explanation:

i did the test

3 0
3 years ago
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