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Using the multiplication operation, the population of the species in 30 years would be 8 times the current population. Hence, the population at the time would be [tex] 5.44 \times 10^{10}[/tex]

Therefore, 8 times the current population can be calculated thus :

[tex] 6.8 \times 10^{9} \times (8) = 54.4 \times 10^{9}[/tex]

Therefore, the population at the time would be [tex] 5.44 \times 10^{10}[/tex]

Learn more : https://brainly.com/question/25411212

Let

[tex]x = 6 + \dfrac1{2 + \dfrac1{6 + \dfrac1{2 + \cdots}}}[/tex]

Then

[tex]x = 6 + \dfrac1{2 + \dfrac1x}[/tex]

and solving for x gives

[tex]x = 6 + \dfrac x{2x + 1}[/tex]

[tex]x = \dfrac{13x + 6}{2x + 1}[/tex]

[tex]x(2x+1) = 13x + 6[/tex]

[tex]2x^2 + x = 13x + 6[/tex]

[tex]2x^2 - 12x - 6 = 0[/tex]

[tex]x^2 - 6x - 3 = 0[/tex]

By the quadratic formula,

[tex]x = 3 \pm 2\sqrt{3}[/tex]

but x must be a positive number, so only the positive square root solution is valid.

[tex]x = 3 + 2\sqrt{3}[/tex]

We identify a = c = 3 and b = 2, so a + b + c = 8.

9514 1404 393

Answer:

  a) 37

  b) n+d

Step-by-step explanation:

This is a reading comprehension problem. You are asked to understand what you are reading, and to think about what question is being asked.

Given:

  a) someone bought 20 notebook computers and 17 desktop computers

  b) someone bought n notebook computers and d desktop computers

Find:

  a) the total number of computers bought

  b) the total number of computers bought

Solution:

a) The total number bought is found by adding together the numbers of each kind:

  20 +17 = 37 . . . total computers

__

b) The total number bought is found by adding together the numbers of each kind:

  n + d . . . total computers

Answer:

8/90

Step-by-step explanation:

hope this helps

Answer:

It's 38/45

Step-by-step explanation:

I don't really have a step-by-step explanation. I just looked it up! ;) good luck

Answer:

20.5

Step-by-step explanation:

Given that shapes are similar:

45 = 2x + 4 subtract 4 from both sides

41 = 2x divide both sides by 2

20.5 = x

Answer:

2

Step-by-step explanation:

because resetting the graph means it has to be a reflection

Step-by-step explanation:

it is an isoceles triangle (equally long legs).

there is a right angle at W, so YW is the height of the isoceles triangle XYZ.

that means W splits XZ in half.

therefore,

ZW = XZ/2 = 38/2 = 19

Answer:

120

Step-by-step explanation:

If you graph out the two triangles, you can see that the rotation is close to an angle of 90 - 120 degrees. And the rotation is going counterclockwise into the positives (graph quadrant IV).

a) Samsung Ltd will record these Journal Entries from July 2016 to June 30, 2021, using the straight-line and revaluation methods of depreciation:

July 1, 2016 Debit Equipment $1,502,000

Credit Cash $1,502,000

June 30, 2017 Debit Depreciation Expense $150,000

Credit Accumulated Depreciation $150,000

June 30, 2018 Debit Depreciation Expense $150,000

Credit Accumulated Depreciation $150,000

June 30, 2019 Debit Accumulated Depreciation $300,000

Credit Revaluation Reserve $300,000

June 30, 2019 Debit Revaluation Reserve $198,000

Credit Revaluation Surplus $198,000

June 30, 2020 Debit Revaluation Expense $400,000

Credit Revaluation Reserve $400,000

June 30, 2021 Debit Revaluation Reserve $500,000

Credit Revaluation Surplus $500,000

Data and Calculations:

Cost of machine on July 1, 2016 = $1,502,000

Estimated Residual Value = $2,000

Depreciable amount = $1,500,000

Estimated useful life = 10 years

Based on the straight-line method the depreciation expense for each year = $150,000 ($1,500,000/10).

Value of Machine at:

June 30, 2019 - $1,400,000

June 30, 2020 = $1,000,000

June 30, 2021 = $1,500,000

Learn more: https://brainly.com/question/19908089

Answer:

x = 120°

Step-by-step explanation:

the 165 degree obtuse angle forms a straight line with the upper left angle inside the triangle, therefore this angle measures 15 degrees

we know two of the three angle measures so we add all three together to find the unknown angle

x + 15 + 45 = 180

x + 60 = 180

x = 120°

Answer:

44

Step-by-step explanation:

√4×-6+8×6+8=2×-6+48+8

-12+48+8

=48

Hey there!

4x^2 - 8x + 8

= 4(-6)^2 - 8(-6) + 8

= 4(6)(6) - 8(-6) + 8

= 4(36) - (-48) + 8

= 144 - (-48) + 8

= 144 + 48 + 8

= 192 + 8

= 200

Therefore, your answer is: 200

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

what is the question where is the rest of the equation

Step-by-step explanation:

if you respond I will give you the right answer but hope you have a great rest of your night :)❤

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

-1

Step-by-step explanation:

Set y=0.

[tex]5 {x}^{2} + 7x + 2 = 0 \\ x = \frac{ - 7± \sqrt{ {7}^{2} - 4(5)(2)} }{2(5)} \\ x = \frac{ - 7± \sqrt{ 9} }{10} \\ x = \frac{ - 7±3}{10} \\ x = - \frac{2}{5} \: \: \: \: or \: \: \: \: - 1[/tex]

The x-intercepts are - 0.4 and - 1.

The other x-intercept is - 1.

Answer: 1,0

Step-by-step explanation:

Answer:

Working out 20% of 30

If you are using a calculator, simply enter 20÷100×30 which will give you 6 as the answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

what is 20% of 30? how would you calculate it?

30 : 100 * 20 = 6

or

30 * 0.20 = 6

Answer:its 22 and 7...........................

Step-by-step explanation:

Answer: All real numbers

Step-by-step explanation:

It depends on if the horizontal line goes on infinitely but I'd assume it does. It should be all real numbers.

Answer: 32 hours

Step-by-step explanation: 51/6 = 8.5

So, Erica makes 8.5 dollars per hour. 272/8.5 = 32. Thus, Erica will need 32 hours.

Brainliest?

Answer:

45 90 135 180 dkdhwjuwuhd

Answer:

x=2, y=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Seems like your question might be missing some parts.

If Not, Then

a line through the given points would have the form

y = mx + b

where m is the slope and b the y intercept

m = Δy/Δx = (-2 - 2) / (2 - (-2)) = -1

y = (-1)x + b

y = -x + b

now plugging in either point to find b

2 = -(-2) + b

b = 0

y = -x + 0

y = -x

Answer:

Step-by-step explanation:

(-2 - 2)/(2 + 2) = -4/4= -1

y - 2 = -(x + 2)

y - 2 = -x - 2

y = -x

Answer:

150 eye level hight above sea level

Step-by-step explanation:

270-120=150

Answer:

1

Step-by-step explanation:

[tex] \frac{6}{12} + \frac{1}{2} \\ = \frac{1}{2} + \frac{1}{2} \\ = \frac{2}{2} \\ = \frac{1}{1} \\ = 1[/tex]

Answer:

  (d)  x < 2

Step-by-step explanation:

Subtract 5 from both sides of the inequality, the same way you would if it were an equation.

  x +5 < 7 . . . . . . given

  x +5 -5 < 7 -5 . . . . . show subtraction of 5

  x < 2 . . . . . the solution

it is a polygon and it would be a decagon since there are 10 sides

Answer:

It is a polygon, hexagon.

Step-by-step explanation:

Types of polygons include: Triangle, quadrilateral, Pentagon, hexagon, heptagon, octagon, nonagon, and decagon. a hexagon has 6 sides this has 8 so it isn't a hexagon but it can be a decagon so it's the second answer.