What is the equation for f(x)

Answer: [tex]2+i5,\ 29[/tex]

Step-by-step explanation:

Given

Complex number is [tex]2-i5[/tex]

Its conjugate is obtained by changing the sign of the original number i.e. [tex]2+i5[/tex]

The product of the two numbers is

[tex]\Rightarrow (2-i5)(2+i5)=2^2-(5i)^2\quad \quad [(x+y)(x-y)=x^2-y^2]\\\\\Rightarrow (2-i5)(2+i5)=4-25i^2\\\\\Rightarrow (2-i5)(2+i5)=4+25=29[/tex]

Answer:

156.9

Step-by-step explanation:

∠x=4(∠y)

Angles in a triangle add to 180:

∠x+∠y+90=180

4(∠y)+∠y=90

5(∠y)=90

∠y=18

The left side of the parallelogram is opposite ∠y, which we know, and we know the adjacent (marked as 57) so we can use tan:

tanA=opposite/adjacent

tan18=(side)/57

side=18.5204226853

Similarly, we can find the base of the shape using cos:

cosA=adjacent/hypotenuse

cos18=57/(base)

base=59.9333467816

Perimeter = 2(side)+2(base)

=2(18.5204226853)+2(59.9333467816)

=37.0408453706+119.866693563

=156.907538934

≈156.9

Answer:

area = 41 ft²

Step-by-step explanation:

area = (3x3) + (4x8) = 41 ft²

9514 1404 393

Answer:

  6.5 ft wide by 8 ft long

Step-by-step explanation:

We can let x represent the width of the rectangle. Then the length is ...

  L = 2x -5

and the area is ...

  A = LW = (2x -5)(x) = 52

  2x² -5x -52 = 0 . . . . . put in standard form

  (2x -13)(x +4) = 0 . . . . factor

  x = 6.5, -4 . . . . . . . . . . values that make the factors zero

The length is then ...

  L = A/W = 52/6.5 = 8

or

  L = 2W -5 = 2(6.5) -5 = 13 -5 = 8

The rectangle is 6.5 feet wide and 8 feet long.

Answer:

Step-by-step explanation:

The average is 81 a low B, but if you throw out the low score it rises to 88.8, a high B.

I would use the median 88, 89 since it is higher and is a more accurate representation of the majority of the class

A) Yes, we can say that the class did well.

B)I would choose median to describe the data.

How to find mean, median and mode?

Mean simply means average of the data given, Here,

[tex]Mean=\dfrac{89+87+93+90+12+91+88+87+83+91}{10} =80.9[/tex]

Median is the value of data set (when arranged in ascending order) that divides it into two sets and is often called the middle number. When no. pf values in data set is even, the median is N/2.

Here,

[tex]Median=\dfrac{10}{2} ^{th}=5^{th} term=88[/tex]   (data taken in ascending order)

Mode is the value which has largest frequency among the all the other values.

Here, Mode is 87 and 91.

A) The class did well if we consider the data from point of view of its median and mode, but the average value is a bit low as we have a drastically low value that is 12.

B) I would describe the data by median because the class mean is very low and as there are 2 mode values, it is not the best representation of the score. The median of the set is a high and singleton value, therefore the most accurate measure of central tendency would be median.

To know more about mean, median, mode refer:https://brainly.com/question/25750771

#SPJ2

Answer:

8:15

or 8/15

Step-by-step explanation:

8 out of 15

Answer:

8:15

Step-by-step explanation:

There are 8 red apples and total of 15 apples

9514 1404 393

Answer:

  60

Step-by-step explanation:

Gavin has 20/4 = 5 times as many sweets as his corresponding number of ratio units. The total number of ratio units is 4+5+3 = 12, so the total number of sweets is 5×12 = 60.

There are 60 sweets altogether.

_____

They are divided as ...

Answer:

Step-by-step explanation:

ìť ìś the 2ńď òñè

This question is incomplete, the complete question;

The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologists based on their academic degree and years of experience. 36 psychologists responded who had a just received their masters degree in 2003. The average was $48,800 with a standard deviation of $16,800.

The 95% Confidence Interval is ($, $ )

Answer:

at 95%, confidence interval is ( $43312, $54288 )

Step-by-step explanation:

Given the data in the question;

sample size n = 36

mean x' = 48,800

standard deviation σ = 16,800

at 95% confidence level;

∝ = 1 - 95% = 1 - 0.95 = 0.05

∝/2 = 0.05 / 2 = 0.025

z critical value, [tex]Z_{\alpha/2[/tex] = 1.96

now, confidence interval for population mean is given by the formula

x' ±  [tex]Z_{\alpha/2[/tex]( σ/√n )

so we substitute

⇒ 48800 ±  1.96( 16800/√36 )

⇒ 48800 ±  1.96( 2800 )

⇒ 48800 ±  5488

⇒ 48800 -  5488, 48800 +  5488

⇒ ( 43312, 54288 )

Therefore, at 95%, confidence interval is ( $43312, $54288 )

Answer:

25

Step-by-step explanation:

(50 cm (centimeters))/(20 mm (millimeters))

Result:

25 m/m (meters per meter)

25

2500%

Unit conversions:

15.53 mi/km (miles per kilometer)

25 mi/mi (miles per mile)

25 squares

Interpretation:

length ratio

Answer:

1: 3/32. 2: 3/8. 3: 1/20

my dear

Answer:

33 ft²

Step-by-step explanation:

The area of the outdoor carpet = area of trapezoid + area of rectangle + area of triangle

✔️Area of trapezoid = ½(a + b)h

Where,

a = 6 ft

b = 3 ft

h = 11 - 9 = 2 ft

Area of trapezoid = ½(6 + 3)*2 = 9 ft²

✔️Area of rectangle = L*W = 7 *3 = 21 ft²

✔️Area of triangle = ½bh

b = 2 ft

h = 3 ft

Area = ½*2*3 = 3 ft²

✅Area of the outdoor carpet = 9 + 21 + 3 = 33 ft²

Answer:

2.5 times 4.5 times .5 = 5.625 ft squared

Step-by-step explanation:

Lets look at our Formula

.5 times base of triangle (b) times height of triangle (h)

Based on the photo, the height is 4.5 feet and the base is 2.5 feet.

4.5 times 2.5 times .5 (the 1/2 in the formula) = 5.625 ft squared.

Remember that it is 1/2 times the base and height, b/c triangle is half of square. Ft squared because ft times ft equals ft squared

Answer:

(C)

Step-by-step explanation:

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Answer:

22.78

Step-by-step explanation:

22 x 0.05 = 1.1

22 - 1.1 = 20.9

20.9 x 0.09 = 1.881

20.9 + 1.881 = 22.781

Answer:

1) 102/21

2) 21/51

3) 21/24

Step-by-step explanation:

Answer:

3. X = (-4, -5), Y = (0, -3), Z = (-1, -7)

4. Refer back to my explanation.

5. a. Refer back to my explanation.

5. b. 28 units^2; please solve for the other rectangle.

5. c. No, because translation means moving the figure, not changing the shape or size.

Step-by-step explanation:

Warning in advance: the picture is very blurry when looking at the numbers on the graph so I have tried my best to decipher them.

3.

First, write down the ordered pairs for X, Y, and Z.

X = (-1, 4)

Y = (3, 6)

Z = (2, 2)

Note that horizontal movement (moving left or right) affects only the x coordinate. If you are moving to the left, you will subtract from the x coordinate. If you are moving to the right, you will add to the x coordinate.

Vertical movement (moving up or down) affects only the y coordinate. If you are moving up, you will add to the y coordinate. If you are moving down, you will subtract from the y coordinate.

Apply this concept to the ordered pairs:

Moving left = subtraction from x coordinate

Moving down = subtraction from y coordinate

X2 = (-1 - 3, 4 - 9) = (-4, -5)

Y2 = (3 - 3, 6 - 9) = (0, -3)

Z2 = (2 - 3, 2 - 9) = (-1, -7)

Your new image should have X at (-4, -5), Y at (0, -3), and Z at (-1, -7).

4.

After reading the concepts and seeing my explanation and demonstration, please try number 4 on your own. If you have any questions, feel free to ask me for help.

5. a.

The same goes for this problem since it is the same concept.

5. b.

To find the area of a rectangle, use the equation length × width, also known as l × w. In order to figure out what the length and width are equal to, count the units on the graph. JK is 7 units wide. Since this is a rectangle, ML will be the same width, 7 units. KL is 4 units long so JM will also be 4 units long. Now that we know the number of units, we can plug the numbers into the formula:

4 units × 7 units = 28 units^2

The question asks to solve for the area of each rectangle so please try the same for the rectangle you create from problem 5. a.

5. c.

The area of a figure will not change after translation because translation does not affect the figure's size or shape. If the figure is only moved, then no part of its area is changed so no, the area of a figure will not change.

Step-by-step explanation:

We have four fundamental operations on integers. They are addition, subtraction, multiplication, and division.

Answer:

f

Step-by-step explanation:

<x=102°

Step-by-step explanation:

<x+78=180 being supplementary

<x=180-78=102

Answer:

b = 5

Step-by-step explanation:

- add -65 at the two members:

65-65 -2b = 55-65

-2b = -10

- divide the two members for -2

b = 5

Answer:

2 and 3/5

Step-by-step explanation:

5 can go into 13 twice and u have 3 left over which equals 2 and 3/5

hope this helps

Answer:

D

Step-by-step explanation:

7/10 + 3/10 = 1

Answer:

D

Step-by-step explanation:

Answer:

y=1x+20

Step-by-step explanation:

character requirement

Answer:

Step-by-step explanation:

The zeroes are the values of such that

m² - 11m + 18 = 0

Quadratic formula:

m = [11 ± √(11² - 4∘1∘18)]/[2∘1]

= [11 ± √49]/2

= [11 ± 7]/2

= 9, 2

Answer:

hiii

Step-by-step explanation:

hiii

Answer:

20 days

Step-by-step explanation:

Answer:

12% or 13% rounded

Step-by-step explanation:

.25 of 2.00 is .125 or 12% or 13% rounded

Answer:

[tex]a_{20} = 1/1048576[/tex]

Step-by-step explanation:

Given

[tex]Sequence: -1/2;1/4;-1/8;1/16[/tex]

Required

Determine [tex]a_{20[/tex]

Since it is a geometric sequence, first we need to calculate the common ratio (r)

[tex]r = \frac{a_2}{a_1}[/tex]

From the sequence:

[tex]a_2 = 1/4[/tex]

[tex]a_1 = -1/2[/tex]

[tex]a_1[/tex] is the same as [tex]a[/tex]

So:

[tex]r = \frac{a_2}{a_1}[/tex]

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

[tex]r = -1/2[/tex]

[tex]a_{20[/tex] is then calculated as:

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

Where

[tex]n = 20[/tex]

[tex]a_{20} = ar^{20-1}[/tex]

[tex]a_{20} = ar^{19}[/tex]

[tex]a_{20} = (-1/2) * (-1/2)^{19}[/tex]

Apply law of indices

[tex]a_{20} = (-1/2)^{1+19}[/tex]

[tex]a_{20} = (-1/2)^{20}[/tex]

Evaluate the exponent

[tex]a_{20} = 1/1048576[/tex]

Answer:

-1

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The highest/exponent of the variable is the degree of the polynomial.

[tex]9m^{4} - 4m^{3} + 8m - 5[/tex]

Here, the highest degree of the variable m is 4

So, degree of the polynomial = 4