Write image as a complex number. Question 6 options: A) 3 + i B) 3 – i C) –3 + i D) –3 – i

Answer:

x=25

Step-by-step explanation:

43=2x-7 (since the midpoint separate a line into two equal halves)

43+7=2x

50/2=x

25=x

Answer:

x=25

Step-by-step explanation:

Since M is the midpoint, you can set your formula up as

43 = 2x-7

43+7=2x

50/2=x

25=x

Answer:

8

Step-by-step explanation:

by definition:

[tex]log_an=16\\\\log_a\sqrt{n}=log_a n^{\frac{1}{2}}=\frac{1}{2}log_a n=\frac{1}{2}(16)=8[/tex]

Answer:

11.4pounds

Step-by-step explanation:

(5.58+4.68)÷0.90

＝11.4(pounds)

Answer:

A sample of 752 should be taken.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

No preliminary sample is taken

This means that [tex]\pi = 0.5[/tex]

How large should the sample be to be 90% sure that the estimate is within .03 of the population proportion?

This is n for which M = 0.03. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.645*0.5[/tex]

[tex]\sqrt{n} = \frac{1.645*0.5}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2[/tex]

[tex]n = 751.7[/tex]

Rounding up:

A sample of 752 should be taken.

Answer:

Step-by-step explanation:

8 .) Probability of students has no pets in senior = No. of outcomes favourable / Total no.of outcome

= 15 / 24

9.) Probability of students has pets in junior = No.of outcomes favourable / Total no. of outcomes

= 37/52

Answer:

27%

Step-by-step explanation:

divide 6 by 22. you get .27 and then you move the decimal point to the right twice

Answer:

27%

Step-by-step explanation:

six divided by twenty two is 0.272, which is 27%

Answer:

[tex]p=0.5[/tex]

Step-by-step explanation:

A standard die has six numbers (1 through 6). That means there is a 1/6 probability of rolling any one number. There is a 3/6 probability of rolling one of the selected numbers which simplifies to 1/2 or 0.50

If s=side, then each side is 12m.

It got cut off but

12mx12m=144m^2 because mxm=m^2.

heart if helpful

Answer:

It has 5 Faces.

The 4 Side Faces are Triangles.

The Base is a Square.

It has 5 Vertices (corner points)

It has 8 Edges.

Step-by-step explanation:

btw you can choose 3

9514 1404 393

Answer:

  84 adult tickets

Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then (135-a) is the number of child tickets sold, and total revenue is ...

  5.70(135 -a) +9.40(a) = 1080.30

  3.70a = 310.80 . . . . . . . . subtract 769.50 and simplify

  a = 310.80/3.70 = 84

84 adult tickets were sold on Sunday.

Answer:

mEOP is 29°

Step-by-step explanation:

mHOP is 48° and mHOE is 19°, so to get the missing angle you subtract the smaller value from the total to get 29°

- 19-48=29

Answer:

[tex]\frac{x2}{a} - \frac{y2}{b2} = 1[/tex]

Step-by-step explanation:

A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.

The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:

[tex]\frac{X2}{16} - \frac{b}{4} = 1[/tex]

The coordinates of the foci is at (±c, 0), where c² = a² + b²

Given that  a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:

I don't feel like explaining so...

a. = 4

The foci c is at +/-2√5, using c² = a² + b²:

B = 2

Substituting the value of a and b to get the equation of the hyperbola:

[tex]\frac{x2}{a2} - \frac{y2}{b2} = 1[/tex]  

[tex]\frac{x2}{16} - \frac{b2}{4} = 1[/tex]

Answer:

A: True

Step-by-step explanation:

It's true because central tendency is defined as a branch of descriptive statistics that shows the centre of the data distribution.

This central tendency could be mean, median or mode.

Answer:

35

All angles of a triangle = 180 degrees subtract 40 from 180 and you get 140

180-40=140 because the other angles are equal with the same equation to get them divide 140 by 2 140/2=70  then you have to get h alone so you divide by the other 2 in the equation 70/2=35  h=35

Answer:

55

Step-by-step explanation:

In triangle ABC (LET'S SAY TRIANGLE IS ABC)

Angle A=40

Angle B = Angle C = x (since 2h is beside B and C both)

40+x+x=180 (Angle sum property)

40+2x=180

2x=140

x=70

2h+70=180 (Angle in a straight line=180)

2h=110

h=55

Answer:

d.156.

x+24=180 ( being staright angle)

Answer:

832.6lbs

Step-by-step explanation:

Answer:

56 dollars

Step-by-step explanation:

idfk 56 dollars is the answer tho

Step-by-step explanation:

the answer is in the above image

Answer:

(2x-4()(x-2)

Step-by-step explanation:

this is how it looks when factorised

Answer:

y=-2x^2-8x

you can use a factor form helper and from that it can show you examples on how to solve it

I = $ 1,200,000.00

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 1000000 × 0.03 × 40 = 1200000

I = $ 1,200,000.00

The simple interest accumulated

on a principal of $ 1,000,000.00

at a rate of 3% per year

for 40 years is $ 1,200,000.00.

Answer:

5 =x

Step-by-step explanation:

The top and the bottom are the same length

17 = 3x+2

Subtract 2 from each side

17-2 = 3x+2-2

15 =3x

Divide by 3

15/3 = 3x/3

5 =x

Answer:

x = 5

Step-by-step explanation:

3x + 2 = 17

3x + 2 - 2 = 17 - 2

3x = 15

3x ÷ 3 = 15 ÷ 3

x = 5

Answer:

B =53.15010235

Step-by-step explanation:

Since this is a right triangle, we can use  trig functions

tan theta = opp / adj

tan B =  20 /15

Take the inverse tan of each side

tan ^ -1 ( tan B) = tan ^-1( 20/15)

B =53.15010235

Answer:

1 9 3

Step-by-step explanation:

i think only this much

Answer:

1,3 and 9

As Nine is divisible by 1,3 and 9

Answer:

D

Step-by-step explanation:

it would be d because that's where the 3 is in the y axis

Answer:

A

Step-by-step explanation:

Graph A shows the parabola intersecting the x-axis at 1 and 3. Which are the solutions to the equation when you solve it by factoring, using the quadratic formula, the PQ formula, or completing the square.

The answer is 48 notepads.

If central angle is 360° then Arc length is circumference.

An angle with the circle's center as its vertex is referred to as a central angle. The radius refers to each side of the angle that extends outward from the center to a particular point on the circle.

A circle's perimeter is known as its circumference. It is the circumference of the circle as a whole. A circle's circumference is calculated by multiplying its diameter by the constant. This measurement of a circle's diameter is necessary for someone crossing a circular park or for enclosing a circle. The units for the circumference, which is a linear variable, are the same as those for length.

Since, when considering the circle's central angle we consider 360° which is the central angle of the whole circle.

So, when considering the arc length of a sector, we consider the arc length of the whole circle which is the circumference.

Learn more about circles here-

brainly.com/question/11833983

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[tex] \frac{x {}^{0}y {}^{ - 3} }{x {}^{2}y {}^{ - 1} } \\ = \frac{1y {}^{ - 3} }{ {x}^{2}y {}^{ - 1} } \\ = \frac{1 \times 1}{ {x}^{2} y {}^{2} } \\ \\ = \frac{1}{ {x}^{2}y {}^{2} } [/tex]

Step by Step Explanation:

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