Simplify the following: (3 + 10i) - (-9 - 4i)

*PLEASE INCLUDE EXPLANATION

Answer:

Your answer is 1 more student.

Step-by-step explanation:

For the class to be held it need 16.25 students.

I got that number by multiplying 25 by .65

Because we can't have .25 of a student, and were talking about the minimum requirement. Having less than 16.25 would mean that we wouldn't have the class, so we need 17 students.

The graph of the function f(x) = 2x² + 2x - 2 is plotted and attached

The graphs of the function is plotted by making a table of value for a number of the x values and the corresponding y values as done below

Using the function the table is created as f(x) = 2x² + 2x - 2

For x = -4, y =  2 * (-4)² + 2 * (-4) - 2 =  22

For x = -2, y =  2 * (--2)² + 2 * (-2) - 2 =  4

For x = 0, y =  2 * (0)² + 2 * (0) - 2 =  -2

For x = 2, y =  2 * (2)² + 2 * (2) - 2 =  10

For x = 4, y =  2 * (4)² + 2 * (4) - 2 =  38

The table of values

x     y

-4   22

-2   4

0    -2

2     10

4    38

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The gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1)

This gradient is a vector that points in the direction of the greatest rate of increase of the function f(x, y, z) = log(x2 + y2 + z2). To evaluate this gradient, the partial derivatives of the function with respect to x, y, and z must be calculated.

The partial derivative of the function with respect to x is (2x / (x2 + y2 + z2)). When x is 1, this simplifies to 2/1. Similarly, the partial derivative with respect to y is 0, and the partial derivative with respect to z is (2z / (x2 + y2 + z2)), which simplifies to 2/1 when z is 1. Therefore, the gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1).

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Answer:

Step-by-step explanation:

The steps in order are: 4, 1,  5, 6, 3, 2

Answer:

3/4

Step-by-step explanation:

The perimeter expression of a rectangle has a perimeter represented by the expression 4x−8 is 2(2x - 4)

From the question, we have the following parameters that can be used in our computation:

Perimeter = 4x - 8

Factor out 2 from the expression

So, we have the following representation

Perimeter = 2 * 2x - 2 * 4

So, we have

Perimeter = 2(2x - 4)

Hence, the perimeter is 2(2x - 4)

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Answer: 565.2cm3

Step-by-step explanation:

The volume of the cone with a height of 6 cm and a base diameter of 6 cm is 169.56 cubic cm.

Suppose that the radius of the considered right circular cone is 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

The right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

Given a cone with a height of 6 cm and a base diameter of 6 cm.

r = 3 cm

h = 6 cm

The volume of the cone

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

[tex]V = \dfrac{1}{3} \times 3.14 \times3 ^3 \times 6 \: \rm unit^3\\\\V = 3.14\times 54\\\\V = 169.56[/tex]

Therefore, the volume of the cone is 169.56 cubic cm.

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Answer:

Nitrogen is needed for plant growth the energy to grow, and produce fruit or vegetables. Nitrogen is part of the chlorophyll molecule, which gives plants their green color and is involved in creating food for the plant.

With too much nitrogen, plants produce excess biomass, or organic matter, such as stalks and leaves, but not enough root structure.

Plants take nitrogen from the soil by absorption through their roots as amino acids, nitrate ions, nitrite ions, or ammonium ions. Plants do not get their nitrogen directly from the air.From here, various microorganisms convert ammonia to other nitrogen compounds that are easier for plants to use.

Step-by-step explanation:

Answer:

Please dont delete

Explanation:

Hello. I am sorry that I can not answer your question but I am doing this so I can get answers of my own. I appreciate your understanding and I hope you get your answer soon. Good luck!

Answer:

[tex]6+ \sqrt{29},6-\sqrt{29}[/tex]

Step-by-step explanation:

The given quadratic equation is [tex]x^2-12x+7=0[/tex]

The general form of quadratic equation is given by :

[tex]ax^2+bx+c=0[/tex]

Comparing both the equations,

a = 1, b = -12 and c = 1

The solution of a quadratic equation is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Put all the values,

[tex]a=\dfrac{-(-12)\pm \sqrt{(-12)^2-4\times 1\times 7} }{2(1)}\\\\=\dfrac{12\pm \sqrt{116}}{2}\\\\=\dfrac{12\pm 2\sqrt{29}}{2}\\\\=6\pm \sqrt{29}[/tex]

So, the solutions of the given equation is [tex]6+ \sqrt{29},6-\sqrt{29}[/tex]. Hence, the correct option is (d).  

The person who has the most number 1 in UK is Elvis Presley. He has a total of 21 number 1 which is the highest in history.

The UK Singles Chart is a chart which numbers musician on the basis of their songs and their sales and streams it  was created in 1969. The records and statistics listed here, however, date back to 1952 .

The song which charted the charts was Old Town Road which was recently remixed and launched by Lil Nas X.

Elvis Aaron Presley or more commonly known as Elvis, was an American singer and actor. He dubbed the "King of Rock and Roll", and is now regarded as one of the most significant cultural figures of the 20th century.

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Answer:

D I took this today math 6th grade

Step-by-step explanation:

Answer: Five Days

Step-by-step explanation:

Isabella can hike 8 miles per day. So:

[tex]\frac{30miles}{8miles} = 3.75 days[/tex]

It will take:

[tex]\frac{70 miles}{8 miles} = 8.75 days[/tex]

..in total to hike 70 miles.

So, subtracting the two values:

[tex]8.75 - 3.75 = 5[/tex]

She still needs to hike five days in order to finish the trail.

Answer:

x = 81

Step-by-step explanation:

y = k√x

56 = k√49

56 = k(7)

Divide both sides by 7

8 = k

k = 8

------------------------

When y = 72

72 = 8√x

Divide both sides by 8

9 = √x

Square both sides

81 = x

x = 81

The condition of the parabola opening upward with a center at and a directrix will be f(x) = 1/32(x - 9)^2 + 19. so alternative D option correct.

What is the equation of the parabola?

The equation can be written as

f(x) = 1/(4p)(x -h)^2 +(k-p)

where (h, k) is the focus, and p is half the distance between focus and directrix.

Here, We have the upward parabola;

Focus at (9,27)

P/2 = 27-19 = 8        Nature of focus

P = 16

so (x-9)^2 = 2py = 32y

y = 1/32(x-9)^2 + 19

The condition of the parabola opening upward with a center at and a directrix will be f(x) = 1/32(x - 9)^2 + 19. so alternative D option correct.

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Answer:

Yes

Step-by-step explanation:

I think its yes.I think It's Yes.

Answer:

A≈96.07

Step-by-step explanation:

area of a circle is PiXr^2

Step-by-step explanation:

5 (18 - y) when y=6

5 (18 - 6)

5 × 18 - 5× 6

90 - 30

60

Answer:

-44

Step-by-step explanation:

7×-5y

7(-2)-5(6)

-14-30

-44

The if __name__ == '__main__' syntax allows a programmer to specify that certain code should only be executed when the script is run directly, rather than when it is imported as a module into another script.

This can be useful for running code that you only want to execute when you're running the script for testing or development, rather than when you're using it as a library in another program. It also allows to use the same code in multiple script without running the main code.

When a Python script is run, the interpreter assigns the name __main__ to the script's global namespace. Therefore, when the script is run directly, __name__ will be set to __main__. When the script is imported as a module into another script, __name__ will be set to the name of the module, rather than __main__.

So, when a programmer uses the if __name__ == '__main__' syntax, they are essentially checking whether the script is being run directly or imported as a module. If the script is being run directly, the code within the if block will be executed. If the script is being imported as a module, the code within the if block will not be executed.

This allows the programmer to separate code that should only be run when the script is executed directly from code that is intended to be used as a library when the script is imported as a module. It also allows to use the same code in multiple script without running the main code.

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The graph that is not a straight line does not represent a direct variation.

Direct variation of a quantity {y} with respect quantity {x} means that the value of {y} increases as the the value of {x} increases. Mathematically -

y = Kx

K = y/x

where -

{K} is scale factor.

Given are the graphs representing direct variation.

Direct variation is represented by the equation -

y = kx

The graphs representing the direct variation are straight lines. Since all the graphs are not given, any graph that is not a straight line does not represent a direct variation.

Therefore, the graph that is not a straight line does not represent a direct variation.

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Answer:

So for the first one I got two answer for both actually 1( I got 12 And 120)

2( I got the same 12 and 120) sorry if it ain’t very helpful ;^;

Step-by-step explanation:

Answer:

The distance beween the points located 7 and 112 on the number line is -7 i hope this is right

Step-by-step explanation:

The combined gas law for a gas is discussed below.

Given is the combined gas law.

The ideal combined gas law is given by →

PV = nRT

Where -

{P} = pressure     {T} = temperature     {V} = volume    

{n} = number of moles   {R} = gas constant

Non ideal gases are often modelled by the Van der Waals equation as →

(p + n²a/V²)(V - nb) = nRT

Where -

{a} and {b} = constants for a particular gas

{p} = pressure       {v} = volume    

{n} = number of moles       {t} = temperature  

{R} = gas constant

Therefore, the combined gas law for a gas is discussed above.

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Answer:

Use the Pythagorean Theorem to calculate the length of the sides of a right triangle. A TV cut in half on the diagonal is a right triangle.

a^2 + b^2 = c^2

a is the width of the TV

b is the height of the TV

c is the diagonal size of the TV

a is equal to the length of b plus 15, and c is equal to 75. If we out those values into the formula, we get this:

(b+15)^2 + (b)^2 = (75)^2

Factoring that out, we get:

(b)^2 + 225 + (b)^2 = 5625

Then..

2b^2 = 5625 - 225

2b^2 = 5400

b^2 = 5400/2

b^2 = 2700

b = ✓2700

b = 51.9615242271 (round it to an even 52)

Next, we know that a = b + 15, so a = 67.

Therefore, the width of the TV is 67 inches, the height is 52 inches, the diagonal is 75 inches, and you have a very strangely shaped television with a 1.288 (approximately 5:4) aspect ratio. Older “square” TVs mostly had a 1.33 (4:3) ratio, and new TVs are usually either 16:9 (1.77) or 21:9 (2.33). While it's not impossible that you have an old square TV with a 75 inch diagonal, it's pretty unlikely…

Step-by-step explanation:

Answer:

it is option A

Step-by-step explanation:

using formula

270 degree/360 degree*pie*(r)^2

Answer:

True

Step-by-step explanation:

Substitute in x = 0 and y = 0.  If the statement is true, then (0, 0) is shaded.

y > -1/2x - 2

0 > -1/2(0) - 2 = -2

0 > -2 is true, so (0, 0) is shaded

Answer:first one .

Step-by-step explanation:

n/a

Answer:

83 1/4 sq ft

Step-by-step explanation:

let x = length or width of two identical unknown sides

2(9) + 2x = 36 1/2

18 + 2x = 36 1/2

2x = 18 1/2

x = 37/2 ÷ 2 = 37/4 or 9 1/4

therefore, multiply 9 by 9 1/4

Area is:  9/1 x 37/4 = 333/4 = 83 1/4

Answer:

2.5 feet

Step-by-step explanation:

10 feet is the length to the window this leaves us with 5 feet remaining half this to get a stable incline to the window (meaning we dont fall)

An effective sampling method is not cast doubt on the usefulness of the sample

The effective sample is a calculation of the approximate sample size needed to obtain the same degree of accuracy as a simple random sample. It is denoted mathematically by the formula n/D, where n represents the sample size and D denotes the design effect. It is employed as a means of condensing the volume of data.

Effective sample size calculations are mostly used for qualitative analyses of the sample size. The sample size calculates the total number of measurements or observations made during an experiment or survey. The effective sample size—rather than the actual sample size—is utilized in this assessment since it is thought that a sample size of 30 is necessary for an analysis to be valid.

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