Find the difference of the complex numbers.
(2 +8i)-(-5 - 3i)

Answer:

option (1)

Step-by-step explanation:

f(x) - g(x)

= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis

= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms

= 7x² - 8x + 4

Answer:

17

Step-by-step explanation:

because 17 is the mulitple

Answer:

18a(2bc+3d)

Step-by-step explanation:

36abc + 54ad = ?

Rewrite as ;

=2*18abc+3*18ad

Factor out common term 18a

18a(2bc+3d)

I HOPE THIS HELPED!!!

Answer:

yes

Step-by-step explanation:

12/99=121212, so yes

12/100= 0.12, nope

12/90=0.13131, nope

4/33=0.121212, so yes

3/25=0.12, nope

4/30=0.131313, so nope

in conclusion, you are correct

Answer:

4

Step-by-step explanation:

took test on edge :D

Answer:

[tex]y=\frac{1}{12} cup\ of\ suger[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=3(3/4)=9/12[/tex]

Amount used [tex]x=1(2/3)=2/3[/tex]

Generally the equation for sugar lift [tex]y[/tex] is given as is mathematically given by

 [tex]y=n-x[/tex]

 [tex]y=\frac{9}{12} -\frac{2}{3}[/tex]

 [tex]y=\frac{1}{12}[/tex]

Para calcular isto, temos que dividir 28 por 4, que dá 7. Neste contexto, 7 é 1/4 de 28, o número de pontos marcad .

Resposta: Denay marcou 7 pontos durante o jogo.

Answer:

B

Step-by-step explanation:

Here’s what B has:

Min: 24

Q1: 27

Median: 31

Q3: 33

Max: 34

Although Choice A and B were really close with their five number summaries, out of the two of them, only B had a maximum value of 34, like the one in the box plot shown above.

Answer:

12.5

Step-by-step explanation:

43 ¾ ÷ 3½ = 12.5

glad to help

Answer:

22/7*1.5 square

=7.1 meter square

Answer:

Don’t Be Worried!

the formula Is A=πr2

The answer will be last option

Step-by-step explanation:

I hope you are staying safe!

Answer:

A - 36 in.

b - 8

Step-by-step explanation:

A - You marked all of it right! 10 + 10 + 10 + 6

B - The teeth are only on half of the circle that hit the chain. 10 inches of chain for the big wheel, so 1/2 of 10 is 5. Same thing for the little wheel, 1/2 of 6 is 3, and 5+3 = 8, so about 8!

Answer:

38bs

Step-by-step explanation:

multiply the number of students that each bus can hold by the no of buses 38s×b=38bs

Answer:

D. [tex]\frac{2x+1}{x-8}[/tex]

Step-by-step explanation:

[tex]\frac{x+1}{x-8} - \frac{x}{8-x} = \\\\\frac{x+1 + x}{x-8} = \\\\\frac{x+1}{x-8} +\frac{x}{x-8} =\\\\\frac{x+1+x}{x-8} =\\\\\frac{2x+1}{x-8}[/tex]

Correct choice is D

Answer:

455.1111 feet²

Step-by-step explanation:

Given that :

Array of mosaic = 8 * 8 color square tiles

Length of each tile = 2 2/3 feets long

The length of mosaic = length per tile * Number of array :

2 2/3 feets * 8 = 21.3333 feets

This corresponds to the side length of the mosaic

The Area of the whole mosaic:

Using the area of square formula = s²

Where, s = side length

s = 21.33333 ft²

s² = 21.33333²

s² = 455.1111²

Answer:

Step-by-step explanation:

Do you need help with all of the questions? Sorry I thought this was the comment box.

Answer:is that subtraction?

Step-by-step explanation:

Answer:

A= 21 m

Step-by-step explanation:

Answer:

Two shapes are similar when they have the same shape while their sizes may be the same or different

Therefore, two similar shapes are shapes that have a relationship such that the dimensions of one of the shapes can be obtained from the dimensions of the other shape by multiplying by a scale factor

All circles have the same shape and are defined by their center and radius

Given circle with center at 'x' and radius 'r' and circle with center 'y' and radius 's', then there exist a scale factor a = s/r such that we have;

r × a = s

Where a = s/r, we get;

r × s/r = s

We can therefore, obtain a circle with with the same size as the circle with center 'y' and radius 's' by multiplying the radius of the circle with center at 'x' and radius 'r' by a

Therefore the circle with center at 'x' and radius 'r' is similar to the circle with center 'y' and radius 's'

Step-by-step explanation:

Just did it! <3

Hope this helps!

Answer: x = 6

y= 6x2/13 + 5/13

Step-by-step explanation: to solve for and y: Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

C. It is likely

Step-by-step explanation:

Given

See attachment for diagram

For the square.

Let

[tex]Length = L[/tex]

So, the area is:

[tex]Area = Length^2[/tex]

[tex]A_1=L^2[/tex]

The side length of the square equals the diameter of the circle.

So:

[tex]diameter (d) = L[/tex]

The radius is:

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

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

The area is:

[tex]Area = \pi r^2[/tex]

[tex]A_2 = \pi * (\frac{1}{2}L)^2[/tex]

[tex]A_2 = \pi * \frac{1}{4}L^2[/tex]

[tex]A_2 = \frac{22}{7} * \frac{1}{4}L^2[/tex]

[tex]A_2 = \frac{22}{28} L^2[/tex]

The likelihood that a point will be common to the square and the circle is:

[tex]Pr = \frac{A_2}{A_1}[/tex]

[tex]Pr = \frac{\frac{22}{28} L^2}{L^2}[/tex]

[tex]Pr = \frac{22}{28}[/tex]

[tex]Pr = 78.57\%[/tex]

The above probability is greater than 50% but less than 100%.

Hence, it is likely

Answer:

C. Likely

Step-by-step explanation:

all the points are in the circle so it's likely to choose a point inside the circle

Answer:

Add  

2

π

to  

−

15

π

2

.

−

15

π

2

+

2

π

The resulting angle of  

−

11

π

2

is coterminal with  

−

15

π

2

but isn't positive. Repeat the step.

−

11

π

2

Add  

2

π

to  

−

11

π

2

.

−

11

π

2

+

2

π

The resulting angle of  

−

7

π

2

is coterminal with  

−

15

π

2

but isn't positive. Repeat the step.

−

7

π

2

Add  

2

π

to  

−

7

π

2

.

−

7

π

2

+

2

π

The resulting angle of  

−

3

π

2

is coterminal with  

−

15

π

2

but isn't positive. Repeat the step.

−

3

π

2

Add  

2

π

to  

−

3

π

2

.

−

3

π

2

+

2

π

The resulting angle of  

π

2

is positive and coterminal with  

−

15

π

2

.

π

2

Step-by-step explanation:

zorry if im wrong

Answer:congruent

Step-by-step explanation:

Answer:

94.985in^2

Step-by-step explanation:

Given data

Diameter= 11inches

Radius = 5.5 in i.e 11/2= 5.5inches

The  Area of a circle is given as

Area= πr^2

Substitute

Area= 3.14*5.5^2

Area= 3.14*30.25

Area= 94.985 in^2

Hence the area is 94.985in^2

The answer is 94.985in^2

rounded to neaarest hundreth 94.99in^2

Answer:

$41.04

Step-by-step explanation:

8% = 0.08

38(0.08) = 3.04

$3.04 is the tax for the jeans. Now we just have to add it to the price.

38 + 3.04 = $41.04

Answer:

$41.04

Step-by-step explanation:

0.08 (the tax converted from percentage) x 38 (initial cost) = 3.04(tax amount)

38(initial amount) + tax amount (3.04) = 41.04

the cost after tax is $41.04

understand now? To convert 8% to a decimal just move the decimal to the left twice (because we’re representing out of 100%)

Answer:

[tex] 4,220.16 \: {units}^{3} [/tex]

Step-by-step explanation:

Diameter of cone = 24 units

Radius of cone (r) = 24/2 = 12 units

Height of cone (h) = 28 units

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{ 3} \times 3.14 \times {(12)}^{2} \times 28 \\ \\ = \frac{1}{3} \times 3.14 \times 144 \times 28 \\ \\ = 3.14 \times 1,344 \\ \\ = 4,220.16\: {units}^{3} [/tex]