z = 73i - 32
What is the real part of z ?
What is the imaginary part of z?

Answer:

B

Step-by-step explanation:

The range of the function is {0, 3}.

The range of a function on a graph is the set of all possible output values (y-values) that the function can take. To find the range of the given function, we need to determine the y-values corresponding to the points where the function is defined.

Let's analyze the points provided:

The line crosses the x-axis at (-4, 0). This means the function's y-value is 0 when x = -4.

The line turns at (-1, 3). This point is on the line, so the function's y-value is 3 when x = -1.

The line crosses the y-axis at (0, 2). This means the function's y-value is 2 when x = 0.

The line crosses the x-axis again at (2, 0). This means the function's y-value is 0 when x = 2.

Now, let's consider the intervals between these points:

a) When x < -4 (to the left of -4): The function's y-value is 0, as the line is horizontal at y = 0.

b) When -4 ≤ x < -1: The function's y-value starts at 0 and increases to 3, as the line rises from (−4, 0) to (−1, 3).

c) When -1 ≤ x ≤ 2: The function's y-value remains constant at 3, as the line is horizontal at y = 3 between (−1, 3) and (2, 3).

d) When x > 2 (to the right of 2): The function's y-value decreases from 3 to 0, as the line descends from (2, 3) to (2, 0) and further to the right.

So, the range of the function is {0, 3}.

In mathematical notation, the range is written as:

Range = {y | y = 0 or y = 3}

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Answer:

19000%

Step-by-step explanation:

i hope this correct

Answer:

The answer is "[tex]\bold{11, \ 13, \ 15, \ 17, \ 19}[/tex]".

Step-by-step explanation:

In word problem, it is solved by 2k+1, among the most common forms of even an, unlike number.

Let another odd integer become 2k+1.....(a)

(2K+1)+(2k+3)+(2k+5)=(2k+7)+(2k+9)+3(to take the left side 3 extra)  

Quality for the k:

[tex]\to 6k+ 9 = 4k +19 \\\\\ \to 6k-4k= 19+9 \\\\ \to 2k = 10 \\\\ \to k = \frac{10}{2}\\\\ \to K = 5[/tex]

put the value of k, in the equation (a):

[tex]\to 2k+1 \\ \to 2(5)+ 1 \\ \to 10 + 1\\\to 11\\[/tex]

There are also 11, 13, 15, 17, and 19 episodes.  

Let's test it! Let's test it. 11+13+15=39  

17+ 19 = 36.  

So we're right, the first 3 integer numbers are 3 more than the last 2.

Answer:

11,13,15,17,19

I checked the RSM thingy

:)

Answer:

60 dollars

Step-by-step explanation:

We can write a ratio to solve

4 tickets          5 tickets

--------------  = ----------------

48 dollars      x dollars

4x = 5*48

Divide each side by 4

x = 5*48/4

x = 60

Answer:

[See Below]

Step-by-step explanation:

4 tickets equals 48 so to get the price for each ticket divide:

* 48 / 4 = 12

So then just add now:

* 48 + 12 = 60.

So the cost of 5 tickets is 60$.

Answer:

[tex]\frac{4}{3}[/tex] x² - [tex]\frac{19}{9}[/tex] x + [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Given

(2x - [tex]\frac{5}{3}[/tex] )([tex]\frac{2}{3}[/tex] x - [tex]\frac{3}{2}[/tex] )

Each term in the second factor is multiplied by each term in the first factor, that is

2x([tex]\frac{2}{3}[/tex] x - [tex]\frac{3}{2}[/tex] ) - [tex]\frac{5}{3}[/tex] ([tex]\frac{2}{3}[/tex] x - [tex]\frac{3}{2}[/tex] ) ← distribute both parenthesis

= [tex]\frac{4}{3}[/tex] x² - 3x - [tex]\frac{10}{9}[/tex] x + [tex]\frac{5}{2}[/tex]

= [tex]\frac{4}{3}[/tex] x² - [tex]\frac{27}{9}[/tex] x - [tex]\frac{10}{9}[/tex] x + [tex]\frac{5}{2}[/tex]

= [tex]\frac{4}{3}[/tex] x² - [tex]\frac{37}{9}[/tex] x + [tex]\frac{5}{2}[/tex]

Answer:

c = 2

Step-by-step explanation:

To solve this equation, you need to combine like terms and then divide by the coefficient of the variable on both sides of the equation.

To start, add 12c and 6c because they are like terms.

12c + 6c = 18c

Then, divide by 18 on both sides of the equation to solve for c.

18c = 36

----     ----

18      18

c = 2

Answer:

Slope=  

2.000

2.000

​  

=1.000

x−intercept=  

−1

1

​  

=−1.00000

y−intercept=  

1

1

​  

=1.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(x+1)=0  

STEP

1

:

Equation of a Straight Line

1.1     Solve   y-x-1  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-x-1  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 1/1 so this line "cuts" the y axis at y= 1.00000

 y-intercept = 1/1  =  1.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x=-1.00000

 x-intercept = 1/-1  = -1.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - 1.000 = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  2.000/2.000 =  1.000  

Geometric figure: Straight Line

1.  Slope = 2.000/2.000 = 1.000

2. x-intercept = 1/-1 = -1.00000

3.  y-intercept = 1/1 = 1.00000

The equation of the line that passes through the given points will be y=1.5x-4.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that the line passes through (0,4) and (2,7)

The slope of the line is,

m = (7-4)/(2-0)

m=3/2

m=1.5

The equation of the line passes through the points (0,4) and (2,7) and has a slope of 1.5 will be,

y-4=1.5(x-0)

y-4=1.5x

y=1.5x-4

Thus, the equation of the line that passes through the given points will be y=1.5x-4.

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Step-by-step explanation:

The mean is 27 and the standard deviation is 4.

23 is 1 standard deviation below the mean, and 31 is 1 standard deviation above the mean.  According to the empirical rule, 68% of the population is between -1 and +1 standard deviations.

68% of 1200 is 816.

19 is 2 standard deviations below the mean, and 35 is 2 standard deviations above the mean.  According to the empirical rule, 95% of the population is between -2 and +2 standard deviations.

95% of 1200 is 1140.

Answer:

5.75

Step-by-step explanation:

9-32÷4

23÷4

5.75

Answer:

1

Step-by-step explanation:

PEMDAS

9-32 / 4

9-8

1

Answer:

[tex]\huge \boxed{\mathrm{C=\pi d}}[/tex]

Step-by-step explanation:

To find the circumference of a circle, you can multiply the value of the diameter of the circle with the value of pi.

[tex]\sf Circumference = \pi \times diameter[/tex]

[tex]\mathrm{C=\pi d}[/tex]

C=2•π•r

hope it helps;)

Answer: 5.57

Step-by-step explanation:

The square root of 31 is 5.56776436 and if you round that 2 decimals places you get 5.57 bc anything higher than 5 gets rounded up to the next number.

Answer:

The third image is the correct answer.

Step-by-step explanation:

Answer:

3rd graph

Step-by-step explanation:

The answer is the 3rd graph.

The third graph has all the given characteristics.

It decreases from negative infinity to 3.

It increases from 3 to infinity.

It has a minimum value of -2.

It has a y-intercept of (0, 7).

Answer:

Vertical opposite angles are the same so the answer is D.

Answer:

144 is:

Natural

Whole

Integer

Rational

[tex]\sqrt{144}[/tex] is:

Irrational

Step-by-step explanation:

Natural-All positive integers (144 applies) ([tex]\sqrt{144}[/tex] does not apply)

Whole-All positive integers and zero (144 applies) ([tex]\sqrt{144}[/tex] does not apply)

Integer- All positive and negative whole numbers and zero (144 applies)  ([tex]\sqrt{144}[/tex] does not apply)

Rational-All integers, fractions, and non-repeating decimals (144 applies)  ([tex]\sqrt{144}[/tex] does not apply)

Irrational-A real numbers that are NOT rational (144 does not apply)  ([tex]\sqrt{144}[/tex] applies)

Now if you want to find which groups [tex]\sqrt{144}[/tex] belongs to, you must ask if this applies to any rules.

Answer: -6x^7

Step-by-step explanation:

 2x^3 × (-3x^4)

=(2×-3) · (x^3 × x^4) ⇔ multiply the like terms

=-6 × [x^(3+4)] ⇔ the multiplication of exponents works as addition if same base

=-6x^7

Answer:

[tex]-6x^7[/tex]

Step-by-step explanation:

So when doing this equation, you multiply the numbers, which is 2 × -3, and add the exponents, which is 3 + 4, so then you get the answer, and that is [tex]-6x^7[/tex].

Answer:

h = -7

Step-by-step explanation:

I hope this helps!

Answer: 1508 hours of sleep

Step-by-step explanation:

the arm gets 29 more hours of sleep than the plat per week

52 x 29 is 1508

Answer:

y = 2x

Step-by-step explanation:

Step-by-step explanation:

Let

y ----> the height in inches

x ----> the time in hours

we have the ordered pairs

(1, 2), (2, 4), and (3, 6).

step 1

Find the slope

take two points to calculate the slope

(2, 4), and (3, 6)

The formula to calculate the slope between two points is equal to

m = 2 in/h

step 2

Find the equation of the line in point-slope form

we have

m =2

point (2,4)

Convert to slope-intercept form

isolate the variable y

y = 2x

Answer:

x = -7

Step-by-step explanation:

This is a multi-step equation in algebra. We are expected to isolate the given variable and find the constant value that it is equal to. In order to do this, we can follow some steps:

1x - 15 = 5x + 13 Subtract 5x on both sides of the equation.

-4x - 15 = 13 Add 15 to both sides of the equation.

-4x = 28 Divide by -4 on both sides of the equation.

x = -7

You can input this value and make sure that the answer is correct.

1(-7) - 15 = 5(-7) + 13

-7 - 15 = -35 + 13

-22 = -22

-22 equals -22, so x = -7 is the solution to the equation.

Answer:

x= -7

Step-by-step explanation:

We are given the equation:

1x-15=5x+13

We want to solve for x. Therefore, we must isolate x on one side of the equation.

First, let’s move all the terms with variables to one side. Subtract 1x from both sides.

1x-1x-15=5x-1x+13

-15= (5x-1x)+13

-15=4x+13

Next, move all the constants, or terms without variables to one side. Subtract 13 from both sides.

-15-13=4x+13-13

-15-13=4x

-28=4x

Finally, divide both sides by 4. We should divide because x is being multiplied by 4 and the inverse of multiplication is division.

-28/4=4x/4

-28/4=x

-7=x

Let’s check our solution. Plug -7 in for x and solve.

1x - 15 = 5x + 13

1(-7) - 15 = 5(-7) + 13

-7-15=5(-7)+13

-22= 5(-7)+13

-22= -35+13

-22=-22

This checks out, so we know our solution is correct.

The solution to 1x - 15 = 5x + 13 is x= -7

Answer:

d= -13

Step-by-step explanation:

-4 ( -d - 4 ) = - 4d + 6 (2d + 6 )

4d - 16 = -4d + 12d + 36

4d - 16 = 8d + 36

- 4d        - 4d

- 16 = 4d + 36

-36          -36

-52 = 4d

-52/4  4d/4

-13 = d  

Answer:

n-10+2n-5

to me it look like it equal 3n-5

Step-by-step explanation

step one:

add n+2n which equal to 3n

step 2:

-10+5

you add 5 do -10 which equal to -5

and when u put them together the answer will be

3n-5

Answer:

B. 1-third

Step-by-step explanation:

The formula for probability = Number of favorable outcomes/ Total number of outcomes

From the question, we are told that:

Owen knows he only has three pencils in his backpack, and they are all yellow. Hence, total number of outcomes = 3

He reaches into his backpack without looking and takes out a pencil.

Hence, total number of favorable outcomes = 1

What is the probability that the pencil was yellow?

Probability ( That the pencil is yellow) =

Number of favorable outcomes/ Total number of outcomes

= 1/3

Therefore, the probability that the pencil was yellow is 1/3 or one - thirds

Step-by-step explanation:

The 1st rectangle

16 *7=112

next triangle

find details

13-7=6

16-8=8

6*8

48÷2

24+112

136

Ansdwer:

D

Step-by-step explanation:

Answer:

Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.

Step-by-step explanation:

Edge

Answer:

8

Step-by-step explanation:

[tex]2x + 4x = x + 10 \\ 6x - x = 10 \\ 5x = 10 \\ x = 10 \div 5 \\ x = 2 \\ kl = 4x \\ 4 \times 2 = 8 \\ kl = 8[/tex]

If the value of x will be 2. Then the length of KL will be 8 units.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Point K is on line segment JL. Given JL = x + 10, KL = 4x, and JK = 2x.

Then the value of x will be

     JL = JK + KL

x + 10 = 2x + 4x

    5x = 10

      x = 2

Then the length of KL will be

KL = 4x

KL = 4 (2)

KL = 8 units

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Answer: 1. hypothesis: line is horizontal

Conclusion: has a slope of 0

2. If a line is vertical, then it has an undefined slope.

Hypothesis : line is vertical

Conclusion: has undefined slope.

Step-by-step explanation:

Answer:

Rational Numbers.

Step-by-step explanation:

Rational numbers ( these can be written as a/v where a and b are integers, b not 0)

Answer;

m<EAD=29°

m<CAB=119°

Step-by-step explanation:

Angles on a straight line sum up to 180°

This implies that,

61°+90°+EAD=180°

151°+EAD=180°

Subtracting 151° from both sides,we obtain,

EAD=180°-151°

EAD=29°

Angles on a straight line add up to 180°.

this implies that,

CAB+61°=180°

Subtracting 61° from both sides,we obtain

CAB=180°-61°

CAB=119°

Thus,m<EAD=29° and m<CAB=119°

Answer:

29° and 119°

Step-by-step explanation:

Since CF is a straight line, then

90° + ∠ EAD + 61° = 180°, that is

∠ EAD + 151° = 180°  ( subtract 151° from both sides )

∠ EAD = 29°

and

∠ CAB + 61° = 180° ( subtract 61° from both sides )

∠ CAB = 119°

Answer:

42

Step-by-step explanation:

[(7-3)2+6]3... [(4)2+6]3...[8+6]3....14(3)=42

Answer:

It should be c 42.

Step-by-step explanation:

Because [(7-3)2+6]3

               [(4)2+6]3

               [8+6]3

               [14]3

               42

 Sorry if it's long