simplify and express in a + bi form: (12 + 3i) - (3 - 1)

Answer:

The answer is C which is 15

Step-by-step explanation:

M decreased by 12 is equal to negative 6

That means:

12 - M = -3

or, 12 - (-3) = M

or, M = 12 + 3

. °. M = 15 Ans

Answer:

m=15

Step-by-step explanation:

m-12=3

add 12 both sides

m=15

Answer:

Step-by-step explanation:  

Answer:

66

Step-by-step explanation:

Red counters: 120/4=30

Blue counters:120/5=24

Green counters:30+24=54, 120-54=66

Step-by-step explanation:

42.4

-

7.32

----

move the decimal

42.40

07.32

-------

35.08

Answer:

I would say the answer would be B if wrong sorry .

Step-by-step explanation:

Answer: 1/3

Step-by-step explanation:

Answer:

I got this question too! I'm not sure

Step-by-step explanation:

Answer: $170.25 + $3.78x = $586.05

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Okay so im going to gudie you thru So what it is asking you is to Count all the cubic squares looking things so what i can see is that You circled 169 aka C that would be correct because it cant be 11 cause it dosent look like 11 square units  lol you get what im saying so the answer is C hope this HELPSS!!

By the way follow my insta. exotic. jaliyah if you need anymore help

Answer:  The Length of the rectangle is 18 feet.

The width is 8 feet

Step-by-step explanation:  Perimeter is 2w + 2L

Length here is 2w + 2   Substitute this value for L in the equation.

P = 2w + 2L

52 = 2w + 2(2w + 2)  distribute and add

52 = 2w + 4w + 4

52 = 6w + 4    Subtract 4 from both sides, Then divide both sides by 6 to solve  for w

48 = 6w

8 = w  The width is 8 ft

Substitute into the original expression for Length

Length here is 2w + 2 :  2(8) + 2   16 + 2 = 18

The Length is 18 feet.

Check:   in the original equation P = 2w + 2L

52 = 2(8) + 2(18)

52 = 16 + 36  TRUE!

Answer:

The length would be 18ft the width would be 8ft

Step-by-step explanation:

Answer:

Act 2 of the Christmas Carol begins with Scrooge getting a visit from the ghost of Christmas present. This spirit is a jolly man filled with happiness and laughter. ... Scrooge sees Bob Cratchit's crippled son, Tiny Tim, who shows so much kindness towards everyone that it warms Scrooge's heart.

Step-by-step explanation:

your welcome

Answer:

4

Step-by-step explanation:

Answer:

4.

Step-by-step explanation:

Answer:

(a+k(x-a), b+k(y-b))

I = (5, 5)

N = (8, 3)

R' = (5, 3)

O' = (9, 1)

S' = (11, 9)

Step-by-step explanation:

Answer:

a. Assuming gallons of unleaded regular is denoted by r; and unleaded premium by p.

Revenue from one gallon of unleaded regular is $1.299 and from unleaded premium is $1.379.

Revenue function = 1.299r + 1.379p

b. Cost of one gallon of unleaded regular is $1.219 and for unleaded premium is $1.289.

Cost function = 1.219r + 1.289p

c. Total profit = Revenue - Cost

= 1.299r + 1.379p - 1.219r - 1.289p

= 1.299r - 1.219r + 1.379p - 1.289p

= 0.08p + 0.09p

d. If station sells 100,000 gallons of unleaded regular and 40,000 of unleaded premium;

= (0.08 * 100,000) + (0.09 * 40,000)

= 8,000 + 3,600

= $11,600

Answer: The answer is 7-b=-y

Step-by-step explanation: You subtract b from one side to the other, and then do the same with y

Answer:

10i

Step-by-step explanation:

The square root of negative 100 is not equal to 10. If 10 was the square root of negative 100, then 10 squared would be equal to negative 100. But in fact, 10 squared is 10*10, which is obviously (positive) 100, not negative 100.

To determine the actual value of the square root of negative 100, we can proceed as follows:

Let s be the square root of negative 100.

Then s^2 = -100.

So s^2 = 100×(-1) = (10^2)×(i^2) =10×10×i×i = 10×i×10×i =(10i)^2.

So s = 10i.

So the square root of negative 100 is equal to 10i.

Note that the square of -10i is also equal to negative 100. 10i is the principle square root of negative 100.

Answer:

10i

Step-by-step explanation:

Since, it's a negative square root you have to use imaginary numbers to make it solvable. Hope this helps! :)

Answer: (0.809, 0.891)

Step-by-step explanation:

Let p = population proportion for a snack foods that contain more fat grams and was indicated on the snacks nutritional information .

As per given , we have

Sample size : n= 205

Sample proportion: [tex]\hat{p}=\dfrac{174}{205}\approx0.85[/tex]

z-value for 90% confidence = 1.645

Confidence interval for p: [tex]\hat{p}\pm z^* \sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]0.85\pm (1.645)\sqrt{\dfrac{(0.85)(1-0.85)}{205}}\\\\=0.85\pm (1.645)\sqrt{\dfrac{0.85\times0.15}{205}}\\\\= 0.85\pm (1.645)\sqrt{0.000621951219512}\\\\=0.85\pm0.041\\\\=(0.85-0.041,\ 0.85+0.041)\\\\= (0.809,\ 0.891)[/tex]

Hence, the required confidence interval = (0.809, 0.891)

Answer:                                            

p(x)=x^3-4x^2+5x-2

=(2)^3-4(2)^2+5(2)-2

=8-4(4)+10-2

=8-16+10-2

=0

hope it helps mark as brainliest

Answer:

remainder is zero  

quotient is x^2-2x+1

Step-by-step explanation:

Step-by-step explanation:

P(two green candies)

15 candies in total

5 green/15 total

which is equal to 1/3

left over candies= 13 because we are removing 2 green from the total

Answer:

Step-by-step explanation:

B

Answer:

d 11x + 24

Step-by-step explanation:

Perimeter = 5x + 3 + 2x + 6 + 4x + 15

                 = (5x + 2x + 4x) + (3 + 6 + 15)

                 = 11x + 24

the bottom. 1/23 something it that one

Answer:

a = 29

b = 20

Step-by-step explanation:

2a - 1 = 57

    + 1     + 1

2a = 58

/ 2    / 2

a = 29

2a - 1 + 7b - 17 = 180

2 (29) - 1 + 7b - 17 = 180

58 - 1 + 7b - 17 = 180

57 + 7b - 17 = 180

7b + 40 = 180

      - 40     - 40

7b = 140

/ 7      / 7

b = 20

Answer:

[tex]Sum = (k+1)(k+2)[/tex]

Step-by-step explanation:

Given

k + 1 even numbers

Required

Their sum

This question will be solved using the sum of nth term of an AP

[tex]S_n = \frac{n}{2}(2a + (n - 1)d)[/tex]

Where

a = the first even number

[tex]a = 2[/tex]

n = number of terms

[tex]n =k +1[/tex]

d = difference between consecutive even numbers

[tex]d = 2[/tex]

So, the expression becomes:

[tex]Sum = \frac{k+1}{2}(2 * 2 + (k + 1 - 1) * 2)[/tex]

[tex]Sum = \frac{k+1}{2}(2 * 2 + (k) * 2)[/tex]

[tex]Sum = \frac{k+1}{2}(4 + 2k)[/tex]

[tex]Sum = \frac{(k+1)(4 + 2k)}{2}[/tex]

Factorize 4 + 2k

[tex]Sum = \frac{(k+1)*2*(2 + k)}{2}[/tex]

[tex]Sum = (k+1)*(2 + k)[/tex]

[tex]Sum = (k+1)*(k+2)[/tex]

[tex]Sum = (k+1)(k+2)[/tex]

Answer:

There were 423 adult tickets sold.

Step-by-step explanation:

Let x = the number of adult tickets sold

Let x + 65 = the number of student tickets sold

x + x + 65 = 715

2x = 715

x = 357.5

x + 65 = 422.5 (round up)

Answer:

adults=325& students=390

Step-by-step explanation:

let me the tickets for adults be x

for students will be x+65

x+x+65=715

2x+65=715

2x=715-65

2x=650

x=650÷2

x=325

Answer:

Answer is 11⅔

Step-by-step explanation:

if want convert improper fraction into mixed number you have divide numerator by denominator

35÷3=11 remainder 2

Answer:

angle 6 is 63

They are alternate to each other

Step-by-step explanation:

Here, we want to get the measure of angle 6 from the diagram

From the diagram,

angle 6 is also 63

The reason for this is because the two angle measures are alternate angles and alternate angles are congruent