What is the real part of this complex number :

2i^28 - 3i^25

Answer:

x = 1.19258 and x = −4.19258

Step-by-step explanation:

The given equation is :

[tex]x^2+3x-5=0[/tex]

Keep x terms on the left and move  the constant to the right side  by adding it on both sides.

[tex]x^2+3x=5[/tex]

Take half of the x term and square it.

[tex](3\times \dfrac{1}{2})^2=\dfrac{9}{4}[/tex]

then add the result to both sides

[tex]x^2+3x+\dfrac{9}{4}=5+\dfrac{9}{4}\\\\(x+\dfrac{3}{2})^2=\dfrac{29}{4}\\\\(x+\dfrac{3}{2})=\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}+\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}-\sqrt{\dfrac{29}{4}}[/tex]

So,

x = 1.19258 and x = −4.19258

Hence, this is the required solution.

Answer:

x = 35

y = 95

Step-by-step explanation:

(For y) The measure of a line is 180 degress. 180 - 95 - 50 = 35.

(For x) The measure of a triangle is 180 degress. 180 - 50 - 35 = 95.

Answer:

x = 85, y = 45

Step-by-step explanation:

solving for x:

180 - 95 = 85

solving for y:

85 + 50 = 135

180 - 135 = 45

Good luck on your schoolwork

Answer:

220

Step-by-step explanation: a p e x

There are 220 ways to choose the paintings.

"Combination  determines the number of possible arrangements in a collection of items where the order of the selection does not matter."

[tex]^{n}C_r=\frac{n!}{r!(n-r)!}[/tex]

For given example,

There are 12 paintings at an art show.

⇒ n = 12

Three of them are chosen randomly to display in the gallery window.

⇒ r = 3

So, using the formula for combination, the number of possible ways to choose the paintings would be,

[tex]\Rightarrow~ ^{n}C_r=\frac{n!}{r!(n-r)!}\\\\\Rightarrow~ ^{12}C_3=\frac{12!}{3!(12-3)!}\\\\\Rightarrow~ ^{12}C_3=\frac{12!}{3!\times 9!}\\\\\Rightarrow~^{12}C_3=220[/tex]

Therefore, there are 220 ways to choose the paintings.

Learn more about combination here:

https://brainly.com/question/13387529

#SPJ2

I think it is 10 miles.

I hope this helps! :)

Answer:

?

Step-by-step explanation:

What grade is this for?

Answer:

the answer is 0.11067

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

12^2+x^2=(x+6)^2

144+x^2=x^2+12x+36

12x=108

x=9

Answer:

Hello! answer: 20

Step-by-step explanation:

circumference is just diameter × pi so If we do circumference ÷ pi we will get our diameter so

125.6 ÷ 3.14 = 40 But remember diameter is just twice the radius so all we have to do is divide by 2 to get our radius so

40 ÷ 2 = 20 So 20 is the radius Hope this helps!

Answer:

the answer is 20 feet

Step-by-step explanation:

divide the circumference by 3.14 gives you the diameter then divide the diameter by 2 to get the radius.

Given:

Point D is the midpoint of line segment CE.

To find:

The correct statement from the given options.

Solution:

It is given that the point D is the midpoint of line segment CE. It means point D bisects the line segment CE.

In other words, point D divides the line segment CE into two congruent or equal parts.

[tex]\overline{CD}\cong \overline{DE}[/tex]

Therefore, the correct option is C.

Answer:

0 + 1=0

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

(/480/) is the answer I just took the test

Step-by-step explanation:

The number of square inches of papar we need for the bedroom is 480.

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

For this case, the scale drawing is converting

1 foot (of real world) : 2 inches (on drawing paper).

Thus, 1 sq. ft area = 2^2 = 4 sq. inch area on paper. (we squared 2, since the square whose sides are 1 ft in real world, will haves sides of 2 inches in drawing, so a side of 2 inches sq. has 4 sq. inch area.)

The area of the floor is 120 sq. ft (some parts are missing in the question statement).

So, as 1 sq. ft : 4 sq. inches on paper,

thus, 120 sq. ft : 120 × 4 = 480 sq. inches area on paper.

Thus, to draw the whole bedroom (which is based on the floor), we need at least 480 sq. inches of paper.

Learn more about scale factors here :

https://brainly.com/question/8765466

Answer:

(n * ⅕) - 6 ≤ 99

Step-by-step explanation:

Translating the word problem into an algebraic expression, we have;

(n * ⅕) - 6 ≤ 99

Opening the bracket, we have;

n/5 - 6 ≤ 99

Rearranging the equation, we have;

n/5 ≤ 99 + 6

n/5 ≤ 105

Multiplying both sides by 5, we have;

5 * n/5 ≤ 105 * 5

n ≤ 525

Answer:

d should be correct, I hope this helps!

Step-by-step explanation:

:D

Answer:

c

Step-by-step explanation:

Answer: The Given plane region is missing attached below is the plane region

answer : 24 π  or 75.40 sq. units

Step-by-step explanation:

Given data :

Height of plane region = 3

base of plane region  = 4

When we revolved the plane region completely we will we forming a cone hence we will calculate for the surface area of a cone

Radius of the new cone = 3

Height of the cone = 4

slant height of the cone ( l )  = [tex]\sqrt{4^2 +3^2}[/tex]  = 5

surface area of cone = πr^2 + πrl

                                   = π ( 3 )^2  + π (3 ) ( 5 )

                                   = 24 π  or 75.40 sq. units

Answer:

yes there is a problem

Step-by-step explanation:

The ranking should start from 0 n u can see its started from5

Answer:

(A) Yes, the vertical axis should begin at 0, not at 5.

Step-by-step explanation:

I just took the AP Stat Unit test on Edg2022 and got 100%.

When the vertical axis does not start at 0, it makes the graph look misleading.

Don't forget to press that THANKS button!

Answer:

que que

Step-by-step explanation:

que

Answer:

1) Z = -1.8592

2) t = 1.7139

3) p = 0.0062

Step-by-step explanation:

1) Area: (93.7+100)/2 = 193.7/2 = 96.85

Z = invNorm(0.9685,0,1) = 1.8592, but since the test is one-tailed at the lower tail, Z is actually -1.8592

2) Area: (90+100)/2 = 190/2= 95 where df=n-1=24-1=23

t = invT(0.95,23) = 1.7139

3) Since the population standard deviation is known, our test statistic is z=-2.5, making the p-value for the test p=normalcdf(-1e99,-2.5,0,1) = 0.0062

Answer:

[tex] {\huge{\boxed{\underbrace{\pink{here \: is \: your \: solutio}}}}} \\ \\ {\huge{\boxed{\mathcal{\green{0.58x = 2.3316}}}}} \\ \\ {\huge{\boxed{\mathcal{\green{x = 2.3316 \div 0.58 }}}}} \\ \\ {\huge{\boxed{\mathcal{\green{x = 4.02}}}}} \\ \\ \huge\mathfrak\blue{ Hope \: it \: helps...}[/tex]

Answer:

The base of the ladder is 2.58 m.

Step-by-step explanation:

Given that,

The angle of elevation for a ladder from the ground is 75°.

The length of a ladder, H = 10 foot

We need to find the distance from the house should you place the base of the latter. Let the base of the ladder is b. Using trigonometry,

[tex]\cos\theta=\dfrac{B}{H}\\\\B=H\times \cos\theta\\\\B=10\times \cos(75)\\\\B=2.58\ m[/tex]

So, the base of the ladder is 2.58 m.

Answer:

Question 1: The amount of students that Yolanda kept track of doesn't add up to her sample space.

Question 2: The sample space is 237. I know this because it said in the question she was asking all of the students at their Middle School which happened to be 237. A sample space is the group that you are taking information from. They are taking information from 237 students.

Answer:

rational number.................

Don't worry I'm sure there'll be great people that would love to be friends with her!, you can also try to call everyday after she finishes her classes^^

Step-by-step explanation:

Advice;

Advice for you; ( I know it wasn't asked of )

Alright, hope this was helpful! Need a little more insight? Feel free to ask.

9514 1404 393

Explanation:

A. The given equation will have a solution when the value of x makes the left-side expression equal to the right-side expression.

The value of the left-side expression for a given value of x is the y-value of y=4^x. The value of the right-side expression for a given value of x is the y-value of y=2^(x-1). The left-side expression will be equal to the right-side expression for a given value of x when the graph of y=4^x and the graph of y=2^(x-1) have the same y-value. That is, the graphs will be of the same point for that x-value. That is what we mean when we say the curves will intersect at that point.

The x-coordinate of the point of intersection is the value that makes the expressions equal, hence it is the solution to the equation.

__

B. The tables are included in the first attachment. We have used f(x) to represent the left-side expression, and g(x) to represent the right-side expression.

__

C. As described in Part A, the graphs will cross at the solution point. Hence the equation can be solved graphically by graphing the left-side expression and the right-side expression and seeing where the graphs cross. (That is at the point (-1, 0.25) on the attached graph.)

Alternate graphical method

The solution can also be found graphically by graphing the difference of the expressions: y = 4^x -2^(x-1). This difference will be zero at the value of x that makes the two expressions equal. That is, the x-intercept of the graph of this difference will be the solution value. The second attachment shows this sort of graphical solution. (It works nicely because many graphing calculators will display the value of the x-intercept.)

Answer:

9

Step-by-step explanation:

12/9=1.33 repeating and 8/6=1.33 repeating

Answer: $2184

Step-by-step explanation:

(6800)(0.028)(12) = 2184

Answer:

14

Step-by-step explanation:

Absoloute value means the distance from 0, so the distance of -14 from 0 is 14

Answer:

absolute value:14