which of the following is a non-real complex number?

Answer:

Step-by-step explanation:

45.6

Answer:

b)

p = d − 2

p = d + 1

Step-by-step explanation:

From the above question:

Interpreting the statement above to form algebraic expressions, we have:

Variable p is 2 less than variable d.

Less than means to subtract in this context

p = d - 2

Variable p is also 1 more than variable d

More than means to add in this context

p = d + 1

Therefore, the pair of equations tha best models the relationship between p and d is Option b :

p = d − 2

p = d + 1

Answer:

930 in^2

Step-by-step explanation:

Area of a parallelogram is Base x Height.

so, 30 x 31 = 930.

Answer: 930 in ^2

Step-by-step explanation:

Area is width x height.

Width = 30

Height = 31

30x31 = 930

Answer:

2n.

Step-by-step explanation:

This an arithmetic sequence with a1 = 2 and d = 2

an = a1 + d(n - 1)

= 2 + 2(n - 1)

= 2n + 2 - 2

= 2n.

Answer:

Step-by-step explanation:

Hi,

I cannot see the options but for vertical compression you need to have values of a that are 0<a<1, then the graph will be compressed.

For example, if we have g(x)= 1/2 x^2 will be compressed by factor of 1/2.

Step-by-step explanation:

3(3a+4b)+4(2a-5b)

=9a+12b+8a-20b

=17a-8b

Answer:

n = 2.43 moles

Step-by-step explanation:

Given mass, m = 97.37 grams

The mass of Argon is, M = 39.948 g/mol

We know that,

No. of moles = given mass/molar mass

[tex]n=\dfrac{97.37}{39.948}\\\\n=2.43\ moles[/tex]

Hence, there are 2.43 moles of Argon.

Answer:

Assuming each box = 1 unit, the answer is 7.2

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

We know formula to find average is,

Average=  

Numberofnumbers

Sumofnumbers

​  

Since the average of 10, so the sum of numbers is 5×10=50

As the fifth number is given 6, so rest 4 numbers will be = 50−6=44

Average of first four numbers will be Average=  

4

44

​  

=11

Answer:

1:9

Step-by-step explanation:

~Refer to the attachment for the solution.

Answer:

Below.

Step-by-step explanation:

a = 3, b = -5 and c = -12.

Answer:

C. The graph of g(x) is shifted 5 units up.

Step-by-step explanation:

The transformation shown shows a vertical translation.

[tex]f(x)=x\pm d\\\\\text{Vertical translation up/down 'd' units.}[/tex]

The graph would move f(x) five units up.

Hope this helps.

Answer:

3/16 or in decimal 0.1875

Step-by-step explanation:

Answer:

Step-by-step explanation:

Numbers that is less than 5 like 4,3,2,1,0

Answer:

1>x>-2   or -2<x<1

Step-by-step explanation:

2<3-x<5   (minus 3)

-1<-x<2     (devide by -1)

1>x>-2

Answer:

I = PRT where I is the interest, P is the principal deposited/borrowed, R is the rate as a decimal (take the number & divide by 100), and T is time in years.

The probability that one shopper, selected at random prefers either Beverage A or Beverage C; P(A or C) = 12/25.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

We are looking for the probability that one shopper, selected at random prefers either Beverage A or Beverage C.

a. A probability distribution of the experiment.

The probability of selecting Beverage A is ;

P(A) = 15/50 = 0.3

The probability of selecting Beverage B is ;

P(B) = 12/50 = 0.24

The probability of selecting Beverage C is ;

P(C) = 9/50 = 0.18

The probability of selecting Beverage D is ;

P(D) = 6/50 = 0.12

The probability of selecting Beverage E is ;

P(E) = 8/50 = 0.16

b. The probability that one shopper, selected at random prefers either Beverage A or Beverage C.

P(A or C) = 15/50 + 9/50

P(A or C) = 24/50

Thus, P(A or C) = 12/25

Learn more about probability here;

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Answer:

64

Step-by-step explanation:

height of the hypotenuse:

[tex]\sqrt{60^2-36^2} = \sqrt{3600 - 1296} = \sqrt{2304} = 48[/tex]

36 : height = height : x

36 : 48 = 48 : x

x= 48^2/36 = 64

Answer:

X = 64

Step-by-step explanation:

Pythagoras Theorem

Similar Shapes

Answer:

C.155

Step-by-step explanation:

CALCULATE IT ITS MA ANSWER

Answer:

use formula y2-y1/x2-x1

Step-by-step explanation:

=8-5/3-4

=3/-1

=-3

Answer:

-3/1

Step-by-step explanation:

(3,8)   4,5)

5-8 divided into    4-3

-3/1

Mark the point (3,8) on  the coordinate plan on graph paper. Then go 3 down,1 right, and you'll reach (4,5)      (from left to right, from 3,8 to 4,5)

3 down means  negative 3

1 right  means positive 1

Answer:

156 ft²

Step-by-step explanation:

Given :

The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet.

The 2 triangular sides have a base of 3 feet and height of 4 feet

We sum the area of each side:

Area of triangular side = 1/2 * base * height

Since there are 2 triangular sides :

Total area of triangular side = 2(1/2 * base * height)

Triangular side = 2 * 1/2 * 3 * 4 = 12 feet²

Area of rectangle sides = lengtb * width

Area 1 = 12 * 3 = 36 ft²

Area 2 = 12 * 5 = 60 ft²

Area 3 = 12 * 4 = 48 ft²

Total = 12 + 36 + 60 + 48 = 156 ft²

Answer:

x=9

Step-by-step explanation:

−4(2x+5)+5x−1= −48

-8x-20+5x-1=-48

-3x-21=-48

-3x=-27

x=-27/-3

x=9

Answer:

4 ≥ x

Step-by-step explanation:

14 ≥ 3x + 2

14 - 2 ≥ 3x

12 ≥ 3x

4 ≥ x

Solving the inequality 14 ≥ 3x+2 we get x ≥ 4.

In mathematics, an assertion of an order connection greater than, greater than, or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

Given:

14 ≥ 3x+2

Switch sides

3x+2 ≥ 14

Subtract 2 from both sides of the equation, we get

3x + 2 - 2 ≥ 14 - 2

Simplifying the above equation

3x ≥ 12

Divide both sides by 3, we get

3x/3 ≥ 12/3

x ≥ 4

Therefore, the value of x ≥ 4.

To learn more about inequality

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Answer:

DF = 9.5

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

DE × DF = DC × DB

5(5 + x) = 5(5 + 4.5) ← divide both sides by 5

5 + x = 5 + 4.5

5 + x = 9.5 ( subtract 5 from both sides )

x = 4.5

Then

DF = DE + EF = 5 + 4.5 = 9.5

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

[tex]y=2x-2[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (0,-2) and (2,2)

[tex]=\frac{2-(-2)}{2-0}\\=\frac{2+2}{2}\\=\frac{4}{2}\\=2[/tex]

Therefore, the slope of the line is 2. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=2x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=2x+b[/tex]

Plug in one of the given points and solve for b

[tex]2=2(2)+b\\2=4+b[/tex]

Subtract 4 from both sides to isolate b

[tex]2-4=4+b-4\\-2=b[/tex]

Therefore, the y-intercept of the line is -2. Plug this back into [tex]y=2x+b[/tex]

[tex]y=2x-2[/tex]

I hope this helps!