Which expression is equal to (−12−2i)+(2+2i)?



10−4i
−10−4i
−10
10

Answers

Answer 1
(-12 - 2i) + (2 + 2i)
= -12 - 2i + 2 + 2i
= -12 + 2 - 2i + 2i
= -10

Answer: -10
Answer 2

Answer:

-10!

Step-by-step explanation:


Related Questions

the pattern below follows the rule "starting with a value of 3, every consecutive row has a value that is 2 less than twice the value of the previous row" what is the fifth value? a. 18 b. 12 c. 34 d. 66

Answers

Answer: a. 18

Step-by-step explanation:

Given phrase : "starting with a value of 3, every consecutive row has a value that is 2 less than twice the value of the previous row"

The recursive formula for the given phrase :-

[tex]a_n=2a_{n-1}-2[/tex]

The first term : [tex]a_1=3[/tex]

The second term : [tex]a_2=2(3)-2=4[/tex]

The third term : [tex]a_3=2(4)-2=6[/tex]

The fourth term : [tex]a_4=2(6)-2=10[/tex]

The fifth term : [tex]a_5=2(10)-2=18[/tex]

Hence, the fifth value of the pattern = 18

Answer:18

Step-by-step explanation:

parallelogram ESTA has vertices E (10,0), S(14,3),T(6,9) and A (2,6). to calculate its area, Jamal will first determine the equation of the line through point E and perpendicular to ST. What is the equation of this line?

Answers

closed line for the same equation. thanks for using brainly.

if TRAP is an isosceles trapezoid what is the value of x ?

Answers

The answer I got is E. 19

the answer to this question is 19!

the expression 12x+15x-11x can be combined because of which property
A. commutative property of addition
B. distributive property
C. additive inverse property
D. multiplicative property

Answers

Final answer:

The expression 12x+15x-11x can be combined using the associative property of addition.

Explanation:

The expression 12x+15x-11x can be combined by using the associative property of addition.

First, combine the like terms which have the same variable, in this case 'x'. Add the coefficients of the like terms, which are 12, 15, and -11. 12x + 15x - 11x = (12 + 15 - 11)x = 16x.

Therefore, the simplified expression is 16x. The associative property of addition allows us to group the terms in any order and still get the same result.

Final answer:

The expression 12x + 15x - 11x can be simplified due to the associative property of addition, enabling terms to be grouped and combined to yield a simplified form of 16x. The correct option is not provided in the choices, but would be the associative property, not listed in the student's options.

Explanation:

The expression 12x + 15x - 11x can be simplified by combining like terms, which is possible because of the associative property of addition. This property allows us to group numbers in an addition expression in any way we choose without changing the result.

Therefore, using the associative property, we can group and combine the terms with 'x' to get (12x + 15x) - 11x, which simplifies to 27x - 11x, and then further to 16x.

The correct answer to the question is Option A: associative property of addition, though it is important to note that this option was not listed in the initial question provided. The commutative property allows us to change the order of the terms without changing the result, but does not directly apply to the combination of like terms.

Nevertheless, both the associative and commutative properties are used when combining like terms in algebra.

Robert bought his car 4 years ago.
Each year the value of the car has depreciated by 15%.
The car is now $6264
Calculate how much the car was worth when he bought it.

Answers

If i'm correct. it should be $10,022.40

Choose the correct slope of the line that passes through the points (−4, 8) and (−3, −6). (1 point)
7
−14
0
14

Answers

slope = (8 + 6)/(-4 + 3) = 14/-1 = -14
answer
−14

Answer:

-14

Step-by-step explanation:

Rose leaves her apartment to take her dog for a walk. She goes 3 blocks due south, 8 blocks due east, 5 blocks due north, and 8 blocks due west. At this point, where is Rose in relation to her apartment?

Answers

work shown above! in the end she is 2 blocks north of her apartment. hope this helps c:

Answer:

3 blocks due west

Step-by-step explanation:

HELP PLEASE!

What is the value of f(−1) when f(x)=2x+2 ?


Enter your answer in the box.

f(−1)= ?

Answers

f (-1)= 2(-1)+2
f (-1)= -2+2
f (-1)= 0
[tex]f(x)=2x+2 \\f(-1)=2\cdot(-1)+2 \\f(-1)=-2+2=0[/tex]

Evan earns $12 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week. Part A: Create an equation that shows the amount of money earned, M, for working x hours in a week when there is no overtime. (3 points) Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 30 hours. (3 points) Part C: Evan earned $510 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)

Answers

Part A: M = 12x. (x hours at the rate of $12/per hour) Part B: T = 12 * 30 + 15y. ( 30 hours per week at the rate of $12 per hour plus y hours at the rate of $15 per hour) Part C: Let us first find out the amount earned through regular working hours and overtime hours. Regular hours in a week is 30 at the rate of $12 per hour. It comes to 12*30 = $360 The remaining amount, 510-360 = 150, is earned through overtime. Overtime rate is $15 per hour. So the number of hours worked overtime = 150/15 = 10 Total hours worked during the week = 30 + 10 = 40.

anonymous 4 years ago A technical writer makes $45,000 per year and has just begun contributing 8% of her salary to her 401(k) plan. If her employer matches 6% of her contributions, how much will have been contributed to the 401(k) plan after 2 years?

Answers

add everything up except the 45,000 and 402(K). then subtract 45,000$ from 401. Then subtract your answers to both equations.

Answer:

$7,632 would have been contributed to the 401(k) plan after 2 years.

Step-by-step explanation:

A technical writer makes salary per year = $45,000

She contributing 8% of her salary to her 401(k) plan = 8% of 45,000

0.08 × 45,000 = $3,600

Her employer matches 6% of her contributions = 6% of 3,600

= 0.06 × 3,600 = $216.00

Total contribution for one year = 3,600 + 216.00 = $3,816

After 2 years = 3,816 × 2 = $7,632.00

$7,632 would have been contributed to the 401(k) plan after 2 years.

what is the answer to y-3.5=-2.1

Answers

y - 3.5 = -2.1 
y = -2.1 +3.5 
y =1.4

The value of variable y in y - 3.5 = -2.1 is 1.4 .

Given , equation : y-3.5=-2.1

To get the value of y isolate the variable y.

y - 3.5 = -2.1

Combine like terms,

Take -3.5 from LHS to RHS . The sign will be changed from negative to positive.

y = 3.5 - 2.1

y = 1.4

Therefore the value of y that will satisfy the equation is 1.4 .

Know more about equations,

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What is the sum of 4 times a number and 3 is bigger than 15, but also -21 at most?

Answers

4x + 3 + 15 - 21
4x + 18 - 21
4x - 3
Answer: 4x - 3

A mathematical scale in which the concentration of hydrogen ions in a solution is expressed as a number from 0 to 14

Answers

That is the pH scale
pH  = - log of the concentration of hydrogen ions in a solution.

Complete the expression so it forms a perfect-square trinomial. x² +___ x + 49 A. 14 B. 7 C. 7/2

Answers

(x + 7)(x + 7)

x^2 + 14x + 49

14x is your answer

hope this helps

The expression so it forms a perfect square trinomial is 14x.

We have given that,

The expression so it forms a perfect-square trinomial.

We have to determine the  x² +___ x + 49.

What is the factor?

A divisor of an integer n also called a factor of n, is an integer m that may be multiplied by some integer to produce n.

In this case, one also says that n is a multiple of m.

(x + 7)(x + 7)

x^2 + 14x + 49

The expression so it forms a perfect square trinomial is 14x.

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You and your family attend your brother’s championship baseball game. Between innings you decide to go to the snack stand. You go to the snack stand with $15 and find that sodas are $2.50 and that popcorn is $3.75. Write an inequality that models the number of sodas you can buy if you get a bag of popcorn too. What is the maximum number of sodas you can buy in this situation?

Answers

4 sodas if you buy a bag of popcorn, if you dont buy popcorn you can buy 6 sodas

Given: Angle 2 and Angle 3 are a linear pair. Angle 3 and Angle 4 are a linear pair. Prove Angle 2 is congruent to Angle 4.

1. Angle 2 and Angle 3 are a linear pair. Angle 3 and Angle 4 are a linear pair. Reason: Given

2. Angle 2 and Angle 3 are supplementary. Angle 3 and Angle 4 are Supplementary.
Reason: ?

3. Angle 2 is congruent to Angle 4.
Reason: ?

Answers

Final answer:

Angle 2 and Angle 4 are congruent because they form a linear pair and their sum is 180 degrees.

Explanation:

Given that Angle 2 and Angle 3 are a linear pair and Angle 3 and Angle 4 are a linear pair, we can prove that Angle 2 is congruent to Angle 4.


 Since Angle 2 and Angle 3 are a linear pair, they form a straight line and therefore their angles add up to 180 degrees. So, Angle 2 + Angle 3 = 180 degrees. (Supplementary)
 Similarly, Angle 3 and Angle 4 are a linear pair, so Angle 3 + Angle 4 = 180 degrees. (Supplementary)
 By transitive property, if Angle 2 + Angle 3 = 180 degrees and Angle 3 + Angle 4 = 180 degrees, then Angle 2 + Angle 3 + Angle 4 = 180 degrees.
 Since the sum of Angle 2, Angle 3, and Angle 4 is 180 degrees, we can subtract Angle 3 from both sides of the equation to get Angle 2 + Angle 4 = 180 degrees.
 Therefore, Angle 2 + Angle 4 = 180 degrees, and since the sum of the angles in a straight line is 180 degrees, we can conclude that Angle 2 is congruent to Angle 4.

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There are 18 boys and 60 girls working on a community service project. they work in groups where each group has the same number of boys and the same number of girls. what is the first step to finding the greatest number of groups​ possible? what is the greatest number of groups​ possible? what is the first step in finding the​ solution?

Answers

First you need to list the factors of each number

18: 1,2,3,6,9,18
60:1,2,3,4,5,6,10,12,15,20,30,60
Look for the common, in this case is 6
Solution is 6 groups, 3 boys and 10 girls on each group

two workers paint lines for angled parking spaces. One worker paints a line so that m<1= 65. The other worker paints a line so that m<2= 65. Are their lines parallel? Explain

Answers

Five questions in math for 25 points! 1. What is "a symbol for a number we don't know yet. It is often a letter like x or y." 2. What is a coefficient? 3. What is "a number on its own, it...Hans is planting a garden with snapdragons and daisies. The table shows some possible combinations of the two plants. If Hans plants 29 daisies, how many snapdragons will he plant? ANSWER If x-5 divided by x-1 and n(x) = x – 3, what function has the same domainDoes the point (, square root of 7) lie on the circle shown? ExplainWhat are Opposite Operations (Inverse Operations)?Provide a counterexample to the statement below: "If two angles are a supplementary, then they are a linear pair" A. This statement is always true, no counterexample exists. B. Two non-adjacent...

There are 300 coins of the same type in two stacks. One stack is 380 millimeters tall. The other is 220 millimeters tall. Find the thickness of one coin

Answers

Total coins = 300

Total thickness of the two stacks is
380 + 220 = 600mm

The thickness of a coin is
(600 mm)/(300 coins) = 2  mm per coin.

Answer: 2 millimeters

Mrs. Howard is hosting a catered dinner party to celebrate her daughter's graduation. The catering company she plans to use charges $13.50 per plate of food and an additional fee of $540 to cover linens and tableware. The total bill for the catering services is $1,512. Which equation can be used to determine the total number of guests, g, who attend the dinner party? 13.50g + 540 = 1,512 13.50g - 1,512 = 540 5400g + 13.50 = 1,512 540g - 1,512 = 13.50

Answers

13.50g+540=1512 

hope this helps :)

Answer:

The equation can be used to determine the total number of guests is 13.50g + 540 = 1512  and the total number of guest are 72 .

Step-by-step explanation:

As given

Mrs. Howard is hosting a catered dinner party to celebrate her daughter's graduation.

The catering company she plans to use charges $13.50 per plate of food and an additional fee of $540 to cover linens and tableware.

The total bill for the catering services is $1,512.

Total number of guests, g .

Than the equation becomes

1512 = 540 + 13.50 g

1512 - 540 = 13.50 g

972 = 13.50 g

[tex]g = \frac{972}{13.50}[/tex]

g = 72

Therefore the equation can be used to determine the total number of guests is 13.50g + 540 = 1512  and the total number of guest are 72 .

How to solve on a road map of pennsylvania, the disatance from philadelphia to washington,
d.c. is 6.8 centimeters. the map scale is 2 cm;40 mi. what is the actual distance between the cities?

Answers

the answer is 152 Miles

Heather's fish tank has 18 liters of water in it. she plans to add 4 liters per minute until the tank has more than 58 liters. what are the possible numbers of minutes heather could add water?

Answers

It tank will be filled up in 40 mins cause every min you fill in 4 liters. Don’t take my word for this make sure you check my work.

Find f(-3) if f(x) = x^2.
-9
-6
6
9

It's not -6!!

Answers

f(-3) = (-3)²
= -3 * -3
= 9

Answer:

f(-3) = (-3)²

= -3 * -3

= 9

Step-by-step explanation:

If CDEF ≅ MNPQ, then EF≅ _____



.


PQ.


QM.


MN.

NQ

Answers

Your answer would be PQ 

Final answer:

In the context of congruent polygons, side EF of polygon CDEF is congruent to side PQ of polygon MNPQ due to the corresponding order of sides in congruent figures.

Explanation:

The question refers to congruent figures in geometry, specifically congruent polygons. If polygons are congruent, all corresponding sides and angles are congruent as well. Therefore, if CDEF ≅ MNPQ, then side EF must be congruent to the side of polygon MNPQ that corresponds to EF in the order of letters given. Following the order, side EF corresponds to side PQ.

The isotope calcium-41 decays into potassium-41, with a half-life of 1.03 × 10^5 years. There is a sample of calcium-41 containing 5 × 10^9 atoms. How many atoms of calcium-41 and potassium-41 will there be after 4.12 × 10^5 years?

Answers

The decay equation is of the form
[tex]N(t) = N_{0}e^{-kt}[/tex]
where
N₀ = initial amount
k = decay constant
t = time

The half-life is 1.03 x 10⁵ years. Therefore
[tex]e^{-1.03 \times 10^{5}k} = \frac{1}{2} \\-1.03 \times 10^{5}k=ln(0.5) \\ k=- \frac{ln(0.5)}{-1.03 \times 10^{5}} =6.7296 \times 10^{-6}[/tex]

Because N₀ =  5 x 10⁹ atoms, the number of atoms remaining when t  = 4.12 x 10⁵ years is
[tex]N = (5 \times 10^{9}) e^{-(6.7296 \times 10^{-6})(4.12 \times 10^{5})} = 3.125 \times 10^{8}[/tex]

Answer: 3.125 x 10⁸ atoms

The reciprocal of a number plus the reciprocal of three times the number equals 1/3. find the number.

Answers

1/x + 1/3x = 1/3
3+1=x
x=4

which conjunction or disjunction is equivalent to the given absolute value inequality?
|x + 2| > 16

a. x + 2 > 16 and x + 2 < - 16
b. x + 2 < 16 and x + 2 > - 16

Answers

The correct answer is A.  When dealing with an absolute value inequality, you want to flip the positive to a negative sign, as well as flip the inequality sign.

Answer:

a.

Step-by-step explanation:

|x+2|>16

x+2>16 or x+2<-16

So, tecnically a and b are incorrect, but if you change the "and" to "or" the correct would be a.

Luigi is an urban planner. as an independent contractor, he charges $140 fee plus $ 25 per hour for each contract with the city.


Write a function to represent this scenario where Y represents the total amount her changes for a project and x represents the number of hours worked on a project

Answers

x = hours 25 per hour = 25x

y = total

 so y = 25x +140

Answer: y = 140+25x

Step-by-step explanation:

Since According to the question, Luigi initally charged $140.

And, per hour he charged an additional amount $25 for each contract with the city.

Here, x represents the number of hours worked on a project.

Thus the additional amount after x hours = 25x

So, the total amount he charged in x hours= 140+ 25x

And, according to the question y represents the above change.

Thus, we get a function for the given situtaion

which is , y= 140+ 25x , where x is number of hours and y is total amount charged.


Twice a​ number, increased by one​, is between negative three and seven. find all the numbers.

Answers

Final answer:

To solve the inequality -3 < 2x + 1 < 7 for the number x, subtract 1 from all parts and then divide by 2. The solution is the range of numbers greater than -2 and less than 3.

Explanation:

The problem statement here results in an inequality that can be expressed algebraically. If 'x' represents the unknown number, we can write the inequality as -3 < 2x + 1 < 7.

To solve for 'x', we will isolate the variable on one side by following the rules of inequalities similar to solving equations.

First, subtract 1 from all parts of the inequality to get the pure inequality without a constant.

-4 < 2x < 6

Now, divide all parts of the inequality by 2, which yields:

-2 < x < 3

All numbers greater than -2 and less than 3 satisfy the original problem statement. Therefore, the range of numbers that solve the inequality is from -2 to just below 3.

Planes X and Y and points J, K, L, M, and N are shown.
Exactly how many planes contain points J, K, and N?

0
1
2
3

Answers

No plane contains these points, as we can see on the image, point J does not belong to any of the shown planes.

How many planes contain points J, K, and N?

A plane contains a point if the point lies on the plane. For example, here you can see that plane X contains the points K and N.

But, if you look at the image, no plane contains the point J, then there is no plane that contains the 3 points J, K, and N, so the correct option is 0.

If you want to learn more about planes, you can read:

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