Perform the indicated operation and express the result as a simplified complex number in the form a+bi. Do not put any spaces between your characters. If your answer includes a number that is not an integer type it as a decimal rounded to the nearest hundredth.
(3+4i)/(2-i)
simplifies to a+bi where:

A=

B=

Answer: C. Is true 7/8>-0.78

Answer:

[tex]\frac{c}{4} +5 = 7[/tex]

Step-by-step explanation:

The wording, "the quotient of a number and 4," can be displayed as c/4. C would be our variable for the number because the question asks specifically for it. 5 more would demonstrate that we're adding 5 more to our equation. Which would result in c/4 + 5. However, since it equals 7, just add that portion to create the following equation:

[tex]\frac{c}{4} +5 = 7[/tex]

Answer:

c / 4 + 5 = 7

Hope this helps!

Step-by-step explanation:

5 + ( more )  than the quotient ( division ) of a number and ( + ) 4 is ( = ) 7

5 + c / 4 = 7

c / 4 + 5 = 7

The spin of the wheel by the contestant is an illustration of a sine function whose equation is [tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]

The wheel is 1.5 m above the floor, and the peg reaches a maximum height of 2.75 m.

So, the amplitude is:

[tex]\mathbf{A = 1.5 - 2.75}[/tex]

[tex]\mathbf{A = -1.25}[/tex]

The vertical shift is the minimum height of the peg.

So, we have:

[tex]\mathbf{D = 0.25}[/tex]

The period (T) equals one circumference.

So, we have:

[tex]\mathbf{T = (max-min)\pi}[/tex]

This gives

[tex]\mathbf{T = (2.75-0.25)\pi}[/tex]

[tex]\mathbf{T = 2.5\pi}[/tex]

The frequency (B) is then calculated as:

[tex]\mathbf{B = \frac{2\pi}{T}}[/tex]

This gives

[tex]\mathbf{B = \frac{2\pi}{2.5\pi}}[/tex]

Divide

[tex]\mathbf{B = 0.8}[/tex]

A sine function is represented as:

[tex]\mathbf{y =A sin(B(x + C)) + D}[/tex]

Substitute the calculated values

[tex]\mathbf{y =-1.25 sin(0.8(x + C)) + 0.25}[/tex]

The horizontal shift (C) is 0.

So, the function becomes

[tex]\mathbf{y =-1.25 sin(0.8x) + 0.25}[/tex]

See attachment for the graph of the equation

Read more sine function at:

https://brainly.com/question/11904902

Answer:1/4

Step-by-step explanation:

Answer:

158 feet

Step-by-step explanation:

24 inches = 2 feet

79 x 2 = 158

Answer:

Step-by-step explanation:

You need an image for problem to be solved, please repost it with a image, so it can be solved

Answer:

No solution

Step-by-step explanation:

1.Simplify

3(x+5)-3 = 2(3x+1) -3x

3x+15-3=6x+2-3x

2.Simplify

3x+12=3x+2

3. Combine like terms

3x-3x+12-2=3x-3x+-2

10 does not equal 0

No solution

Answer:

[tex]\boxed{\boxed{\sf No\:Solution}}[/tex]

Step-by-step explanation:

[tex]\sf 3\left(x+5\right)-3=2\left(3x+1\right)-3x[/tex]

Expand: Apply distributive property:

[tex]\sf 3(x+5)-3[/tex]

[tex]\sf 2(3x+1)[/tex]

[tex]\sf 3x+12=3x+2[/tex]

Subtract 12 from both sides:

[tex]\sf 3x+12-12=3x+2-12[/tex]

[tex]\sf 3x=3x-10[/tex]

Subtract 3x from both sides:

[tex]\sf 3x-3x=3x-10-3x[/tex]

[tex]\sf 0=-10[/tex]

Sides are not equal, so therefore there is no Solution.

___________________________________________

Answer:

Your answer is 150 units!

Answer:

Cylinder and cube are three dimensional shape

Answer:

triangular prism

rectangular prism

Step-by-step explanation:

Answer: [tex]\geq[/tex] 9 lawns, assuming Fiona spends 1 hour per lawn.

Step-by-step explanation:

Let Y = the amount earned from mowing a lawn.  Let z be the number of hours worked on that lawn.

Y = $10 + $5(z)

We need to know the number of hours, z, for any particular lawn to be able to make this a valid equation.  Not having that, we really can't set up a valid equation.  

But let's assume z=1 for each and every lawn and see what we'd have.

Y = $10 + $5

Y = $15/lawn.

Fiona needs at least $135 for her Broadway ticket.

Let L be the number of lawns mowed.  We need:

L*($15/lawn) [tex]\geq[/tex] $135

L  [tex]\geq[/tex] 9 lawns

Answer:

7/10

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Twenty divided by four is five. You would divide fifteen by five to get three. so X=3.

Answer:

304 divided by 8 in decimal = 38

304 divided by 8 in fraction = 304/8

304 divided by 8 in percentage = 3800%

Step-by-step explanation: You just simply divide.

Answer: 6

Step-by-step explanation:

The typical way to solve this problem is with the Pythagorean Theorem, which states that a^2 + b^2 = c^2, where a and b are the legs of the right triangle, and c is the hypotenuse.  Unfortunately, due to a lack of a diagram, I am forced to infer.

Because the most famous Pythagorean triplet is 3, 4, 5, and 8 and 10 are multiples of the latter two terms, I can infer that the final side length is 6.

Hope it helps :) and if it is wrong, please let me know, and repost another question with the provided diagram.

Answer:

5x, -2x, and x

Step-by-step explanation:

Like terms share the same variable and powers. This means that the options with 'x' as an variable would be the like terms of 3x.

5x , -2x  , and x are like terms because they share the same variable, 'x'.

Hope this helps.

the correct answer is B

hope I helped

Answer:

x=5

Step-by-step explanation:

i'm assuming the upper left expression is x-1 and that the 3 horizontal lines are parallel

the three horizontal lines seem to be parallel, so we have (x-1)/6 = 6/(x+4). cross multiply to get (x-1)(x+4) = 36, or x^2 +3x - 4 = 36. subtract 36 from both sides to get x^2 + 3x -40 = 0, factor or use the quadratic formula to get (x+8)(x-5)=0, so x=-8 or x=5, since we are looking for a length x can't equal -8, so x=5,

Answer:they are only 2

Step-by-step explanation:

3/5 + 3/5 = 6/10 so you need a 6/5 + 3/5 and it will equal 9/10

Answer:

1

Step-by-step explanation:

3/5's = 6/10 and 6/10 plus 6/10 would be 12/10 so only 1 3/5's can fit.

Answer:

y=-3x+6

Step-by-step explanation:

Using slope formula

Answer:

3.5 hours

Step-by-step explanation:

8.75/2.5=3.5

Answer:

3.5 miles

Step-by-step explanation:

Answer:

9.96

Step-by-step explanation:

12 * .83

Answer:

10 hours

Step-by-step explanation:

83% of 12 hours = 0.83 * 12 hours = 10 hours

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The Correct choice is ~

Refer to attachment for solution ~

Answer:

21

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Answer:

answer C. 3x + 9

Step-by-step explanation:

3(x + 5) - 6 =

3x + 15 - 6 =

3x + (15 - 6 ) =

3x + 9

3(x+5)-6

Multiply 3 by the inside parenthesis:

3x+15-6

Subtract

3x+9

This means our answer is C) 3x+9

I hope this helps! :)

Answer:

Step-by-step explanation:

Image result for what is the pattern you notice when dividing 10,100,1000

When dividing by ten, move the decimal point one place to the left. Place value is the value of a digit based on its location in the number. When dividing by 100, move the decimal place two places to the left. And, remember, if there's no decimal point, assume that the decimal falls at the end of the number.

Answer:

when you divide those numbers the place value shifts by 1.

Step-by-step explanation:

1000.0 to 100.00 to 10.000 to 1.0000 to .10000

Answer:

A. 5/6

Step-by-step explanation:

Since our denominators match, we can add the numerators.

3 + 7 = 10

So 10/12 the answer but simplified would give 5/6

Answer:

(-6,6)

Step-by-step explanation:

Answer:

Rachel ends up with 9 chocolate bars.

Step-by-step explanation:

16 - 4 = 12

quater is 1/4, so

12 / 4 = 3

12 - 3 = 9

Answer:

9 chocolate bars

Step-by-step explanation:

Rachel had 16 chocolate bars and Tracy takes (minus) 4.Now she has 12.

Tracy asks for the remaining (12) quarter. A quarter is 1/4, and a quarter of 12 is 3.

That leaves Rachel with 9, because 12 - 3 is 9.