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alexira [117]
3 years ago
10

Convert 0.15 g/mL to the unit g/L.

Mathematics
1 answer:
maxonik [38]3 years ago
4 0
To convert milliliters to liter, multiply a converson factor of \frac{1000ml}{L} which means that for every 1 Liter, there is exactly 1000 mL. Converting 0.15 g/mL, multiply the conversion factor to cancel out the unit of milliliters, as shown in the solution below:

0.15  \frac{g}{mL} ( \frac{1000 mL}{L} ) = 150 g/L

The answer is 150 g/L
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Identify the graph of 9X^2+4xy+5y^2-40=0 and find theta to the nearest degree.
lubasha [3.4K]

Answer:

The answer is ellipse; 23° to the nearest degree ⇒ answer (d)

Step-by-step explanation:

* At first lets talk about the general form of the conic equation

- Ax² + Bxy + Cy²  + Dx + Ey + F = 0

∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.

∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.

∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.

* Now we will study our equation:

- 9x² + 4xy + 5y² - 40 = 0

∵ A = 9 , B = 4 , 5 = 5

∴ B² - 4 AC = (4)² - 4(9)(5) = -164 < 0

∴ B² - 4AC < 0

∴ If a conic exists, it will be either a circle or an ellipse.

* To find the type of the graph lets check;

- If A and C are nonzero, have the same sign, and are not

 equal to each other, then the graph is an ellipse.

- If A and C are equal and nonzero and have the same

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∵ A and C have same signs and are not equal

∴ The graph is an ellipse

* If we have term xy ⇒ B ≠ 0

∴ The graph is rotate by angle Ф

* To find the angle of rotation use the rule:

- cot(2Ф) = (A - C)/B

∵ A = 9 , B = 4 , C = 5

∴ cot(2Ф) = (9 - 5)/4 = 4/4 = 1

∴ tan(2Ф) = 1

∴ 2Ф = 45°

∴ Ф = 22.5° ≅ 23° to the nearest degree

* The answer is ellipse; with angle of rotation = 23°

4 0
3 years ago
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bixtya [17]

Answer:

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Step-by-step explanation:

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-10 - (-16) = 6 units between and there are 2 spaces

6/2 = 3

We are going down so it is negative

-16 -3 =-19

then the dot is on the next line

-19 -3 = -22

7 0
3 years ago
Use the diagram to find the angle measures of triangle recall that the sum of the angle measures of a triangle 180
ahrayia [7]

Answer:

x=19º

x+9=28º

7x=133º

Step-by-step explanation:

x+9+x+7x=180

9x+9=180

9x=180-9

9x=171

x=19

4 0
2 years ago
Read 2 more answers
Suppose the population of a town is 8,200 and is growing 4% each year, what is the population expected to be in 10 years
miv72 [106K]

Answer:

12,138 people

Step-by-step explanation:

Create an equation using the basic exponential growth equation:

y = a(1 + r)^t, where a is the initial amount, r is the growth rate as a decimal, and t is the amount of time in years.

Plug in the values we know

y = a(1 + r)^t

y = 8200(1 + 0.04)^10

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8 0
3 years ago
(7/3,4/3),(-1/3,2/3)
nevsk [136]
How is this a question?
5 0
3 years ago
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