Can someone help me out

[tex](9+7i)(6+3i)\\\\=54+27i + 42i + 21i^2\\\\=54+69i -21~~~;[i^2 =-1]\\\\=33+69i[/tex]

Answer:

cos(x) = ???

so the maximum cosine can be is 1 and that happens when x = 0

I'm pretty sure that's what you meant...

The value of x where the cosine function attains a maximum value is 0.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Cosine function.

The value of cos 90° is 0.

The value of cos 0° is 1.

The value of cos 30° is √3/2.

The value of cos 60° is 1/2.

We see that the cosine function has the maximum value at zero degrees.

Thus,

Cos x has the maximum value at x = 0.

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Answer:

$75 I think. Not 100% sure but like 95% sure :)

Answer:

Step-by-step explanation:

The equation ...

  (x -h)² = 4p(y -k)

is the equation of a parabola with vertex (h, k) and vertex-focus distance of p. When p is negative (as here), it means the focus is below the vertex, and the parabola opens downward. The directrix is p units on the other side of the vertex from the focus.

The vertex for equation ...

  (x -4)² = -12(y +1)

is (h, k) = (4, -1). The value of p is (-12/4) = -3, so the focus is (4, -1-3) = (4, -4), and the directrix is y = -1+3 = 2.

_____

Additional comment

As a check on the graph, you can remember that any point on the parabola is equidistant from the focus and directrix. You will notice the vertex is halfway between the focus and directrix, so you know that relationship is true there.

You will also notice that a horizontal line from the focus to the parabola intersects the same distance away from the focus as from the directrix. Thus the parabola distance relation holds at that point as well.

Answer:

30

Step-by-step explanation:

first, create two equations.

let x = Julio's number and y = answer for Julio's number substrates 17

[tex]x - 17 = y \\ y ( - 3) = - 39 \\ [/tex]

by using substitution method, you will get

[tex]x = 30 \\ y = 13[/tex]

so the answer is 30

Answer:

70

Step-by-step explanation:

Given -

the least common denominator of 10 and 14 is - *70*

Prime factor of 14 are 2 and 7

14 = 2 * 7

Prime factor of 10 are 2 * 5

10 = 2 * 5

Now Multiplying the highest exponent prime factor to calculate the LCM of 14 and 10

LCM (10,14) = 2 * 5 * 7

LCM (10,14) = 70

Answer:

y = - 100

Step-by-step explanation:

Assuming you mean

y = - 4[tex](5)^{x}[/tex] ← substitute x = 2

y = - 4[tex](5)^{2}[/tex] = - 4 × 25 = - 100

Answer:

k = 7

Step-by-step explanation:

Vertical shift down by 7units, f(x) - 7

g(x) = (0.5)x - 7

g(x) = (0.5)x - k

Comparing both equations, k = 7

Answer:

k = 7

Step-by-step explanation:

it would be 7 and not -7 because there is already a minus symbol which shows that k is being moved downwards 7 UNITS.

Step-by-step explanation:

that is really easy too easy for that many points.

it is truly simple :

the graph (and with it the function) is shifted down by 3 units.

that means everything of the function stays the same, just the functional results are consistently lowered by 3.

so, g(x) = f(x) - 3 = -2x² - 7 - 3 = -2x² - 10

that is really all there is to it.

Answer:

C.

Step-by-step explanation:

The picture I took is underneath.

Answer:

1

Step-by-step explanation:

there are 31 days in October so if he loses one each day he loses 31

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. They may also have been called the input and output of the function.)

Answer:

I believe it's written y = 1/2x - 1

Hope this helps :)

Answer: The answer is C.

Answer:

888.125

Step-by-step explanation:

(225/.25) - 11.875

(Divide 225 by .25)

900 - 11.875

888.125

Answer:

its A

Step-by-step explanation:

Answer:

Regional metamorphism

Step-by-step explanation:

(all definitions below are NOT my own definitions, but burrowed from trustworthy informational sites)

It is not Sediment Layering because Sediment Layering is sedimentary rocks layers are piled one on top of the other.

It is not Cooling of Magman because Cooling of Magman is elements within the magma combine and crystalize into minerals that form an igneous rock.

It is not Contact Metamorphism because Contact Metamorphism is metamorphism due to contact with or proximity to an igneous intrusion.

It IS regional metamorphism because it is metamorphism affecting rocks over an extensive area as a result of the large-scale action of heat and pressure.

(a) The equation for estimating the weight W of the Golden Delicious apples is W + 20 = 44.

(b) The weight of the Golden Delicious apples is 24 pounds.

The equation for estimating the weight W of the Golden Delicious apples is calculated as follows;

Weight of Golden delicous apples + Weight of Honeycrisp = Total weight of the apples

W + 20 = 44

The weight of the Golden Delicious apples is calculated as follows;

W + 20 = 44

collect similar terms together;

W = 44 - 20

W = 24 lb

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Answer:

7x+3

Step-by-step explanation:

-5x+6x+14+12x-20-6x+9

combine like terms

7x+3

Answer:

Alyssa's Sister = 18, Alyssa = 30

Step-by-step explanation:

48 = 2x-6 + x

54 = 2x + x

54 = 3x

18 = x

2(18) - 6

36 - 6

30

48 = 2(18) - 6 + 18

48 = 36 - 6 + 18

48 = 30 + 18

48 = 48

Answer:

y = [tex]\frac{1}{2}[/tex] x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 8 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (6, - 1 ) into the partial equation

- 1 = 3 + c ⇒ c = - 1 - 3 = - 4

y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of perpendicular line

Answer:

False.

Step-by-step explanation:

The diagonals are at right angles ( because of the negative reciprocal slopes)

so it could be a square or a rhombus.

The given figure can be a rhombus or square.

The square is a 4 - sided figure, each side of the square is equal and makes a right angle.

The area of a square having sided a unit can be given by a² square unit.

Given that,

A figure has equal length of opposite sides.

Also, slopes and diagonals are equal with negative reciprocals.

Since, The square and rhombus both have equal sides and equal diagonals,

But a square makes right angle on sides.

In the given question, right angle is not given.

Therefore, the figure can be square or rhombus.

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Answer:

4

-15

Step-by-step explanation:

Answer:

I'm gonna say no bones day, but I have no idea what you are talking about, so I will change my answer once you explain...

Step-by-step explanation:

Answer:Bones Day

Step-by-step explanation:

Answer:6_1/4

Step-by-step explanation:

They are different by a multiple of 3, for example, 3_1/4 * 3 = 9_3/4, etc.

This means that you just have to divide 18_3/4 bu 3, which is 6_1/4

Answer: The Third option

Step-by-step explanation:

1/36a^4b^10

Hope this is right!

The expression equivalent to the given expression is 1/36a⁴b¹⁰. Therefore, option C is the correct answer.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is ((2a⁻³b⁴)²/(3a⁵b)⁻²)⁻¹.

Now, ((2²a⁻⁶b⁸)/(3⁻²a⁻¹⁰b⁻²))⁻¹

= (2⁻²a⁶b⁻⁸)/(3²a¹⁰b²)

= (a⁶)/(3²2²a¹⁰b²b⁸)

= 1/36a⁴b¹⁰

Therefore, option C is the correct answer.

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Answer:

I believe it to be 1000 cars. Please look at solution to check if I did it the way your problem wants you to do it.

Step-by-step explanation:

Since Chevy needs to make 5,000,000 in profits, earns 25,000 per car, and had invested 20,000,000, we can set an equation with x being the number of cars:

5,000,000 = 25,000x -20,000,000

Notice how 20,000,000 is negative. This is because chevy starts with a negative amount of money (as they just spent it) and are wanting to earn it back. Anyway, lets solve this.

25,000,000=25,000x

x=1,000

we can see that chevy needs to sell more than 1000 cars to make a profit, however I'm unsure of the 25,000 part. This answer is assuming that they make 25,000 profit for each car.

Answer:

[tex]a_{15}=-268,435,456[/tex]

Step-by-step explanation:

First, find what factor each term is multiplied by to get to the next. To do this, divide the second term by the first, the third term by the second, etc

[tex]4\div-1=-4\\-16\div4=-4\\64\div-16=-4[/tex]

The common factor is 4. Using that, you can now write the equation for the geometric sequence in the form of:

[tex]a_n=a_1x^{n-1}[/tex]

It looks scarier than it is. aₙ is the nth term in the sequence, x is the factor, and n is the index in the sequence, that's all it is.

Plug in the information we have to get the equation for this sequence:

[tex]a_n=(-1)(-4)^{n-1}[/tex]

Then, you can solve for the 15th term:

[tex]a_{15}=(-1)(-4)^{15-1}\\a_{15}=(-1)(-4)^{14}\\a_{15}=(-1)(268,435,456)\\a_{15}=-268,435,456[/tex]

Basically, just raise the scale factor to the power of the term you want minus 1, then multiply that by the first number.

Answer:

150.183

Step-by-step explanation:

0.9 x (8.2 x 20.35) =

0.9 x (166.87) =

150.183