Select all the correct expressions in the table which expressions are equivalent to the given complex number 45+2i

The expressions are given below:

Complex numbers are numbers that consist of two parts — a real number and an imaginary number.

Given:

45+ 2i

9+4 i + 2( 4 + 7i)(1- 2i)

= 9 +4i + 2( 4 - 8i + 7i +14)

=9 + 4i + 36 - 2i

= 45 - 2i

and,

(9 + 4i )+ (36 - 2i)

=45 + 2i

Hence, learn more about complex number here:

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Harriet is making loaves of bread for her grandmothers bakery. She has 12 1/12 cups of flour. The recipe calls for 5 1/2 cups of flour to make 3 loaves of bread. Which equation can be used to find L, the total number of loaves of bread that Harriet can make?

7 11/6 x 6 2/5

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2 Solve the equation for t. Show your work.
5(2t - 3) – 7.5t = 0.5(12 – t)
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Solve 2x + 6 < 10 or 2x + 8 > 20.

At what interest rate will P20,000 accumulate to P26,080 in 8 years time?

1. A baseball team sells snacks at their games to raise money. At their last game, they
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Did they make more money at their first or last game? Explain how you know.

What is the scale factor of ABC to DEF?

A circular table top has a radius of 3 feet. A decorative trim is placed along
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6.28 feet
18.84 feet
12.56 feet
25.12 feet

The sum of three times a number and eight is 23. Find the number.

why do people purge or clean out their financial records instead of keeping every financial document they receive?​

How do I do this using long division . Please help!!

A 6 ft tall person walks away from a 10 ft lamppost at a constant rate of 3 ft/s. What is the rate (in ft/s) that the tip of the shadow moves away from the pole when the person is 15 ft away from the pole

Frank bought 4.3×10^4 yards of carpet to install in the new house. His wife said "We needed 5,000 yards! You didn't buy enough!"

Who is correct, Frank or his wife? Demonstrate with math to show your answer.

When water freezes and becomes a solid, the atoms
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upike 5 1/2 miles from your house to a skatepark you travel one half of that distance in the woods Buck along the bank of a stream for the last half of the woods on how many miles of your trip do you bike along the bank of the stream ​

How much does kaylynn earn per week if she makes $8.75 per hour and works 37.5 hours?

Marcus corrió 5 millas en 45 minutos.

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1 . What do you need to find ?
2. Write an equation to represent the problem?
3. What is the solution to the problem?

Simplify 4 ×[2+1(47−5)÷7]

is 12/4 and 21/7 proportional?

Which best describes how to find an equation of the line shown?

A. The slope m is rise over run, so y over x =m. Solve for Y to get y=mx.

B. The slope m is run over rise, so x over y=m. Solve for x=ym.

C. The slope m is run over rise, so x over y=m. Solve for y to get y= x over m.

D. The slope m is rise over run, so x over y=m. Solve for x to get x=ym.

11. Which of the following is the correct journal entry to record the purchase of $7,500 of inventory on account under the perpetual inventory system?
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At the local bakery, Ariel bought 2 oatmeal cookies for $1.50. Mei bought 12 dozen oatmeal cookies for $4.50.
Becky bought 8 oatmeal cookies for $6.00.

Part A
Which graph represents the situation?
A graph showing cost in dollars on the y axis and number of cookies on the x axis. A line begins at the origin and passes through the points 1 point 5 comma 1 point 7 5, 5 comma 6, and 6 comma 7 point 5 0.
A graph showing cost in dollars on the y axis and number of cookies on the x axis. A line begins at the origin and passes through the points 1 comma 1 point 6, 3 comma 5 point 2 5, and 4 comma 7 point 5 0.
A graph showing cost in dollars on the y axis and number of cookies on the x axis. A line begins at the origin and passes through the points 2 comma 1 point 5, 6 comma 4 point 5, and 8 comma 6.
A graph showing cost in dollars on the y axis and number of cookies on the x axis. A line begins at the origin and passes through the points 2 comma 0 point 7 5, 6 comma 2 point 2 5, and 8 comma 3.
Part B
Look at the graph you chose in Part A. Do the number of cookies and the cost have a proportional relationship?
Use the drop-down menus to show and explain your answer.



Choose...
; the graph
Choose...
a straight line through the
Choose...
.

Part C
What does the point (1, 0.75) represent in this situation? What does the point (0, 0) represent?



1 cookie costs $0.75; no cookies cost $0



1 cookie costs $7.50; no cookies cost $0



0.75 dozen cookies cost $1; 0 dozen cookies cost $0



1 dozen cookies cost $0.75; 0 dozen cookies cost $0

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(02.07)A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.

A triangle ABC is shown. The base of the triangle extends into a straight line. The angle formed between this straight line and the edge of the triangle is marked as p. The angle adjacent to p is marked as o, and the other two angles inside the triangle are marked as m and n.

Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p − m∠o = 90 degrees (alternate interior angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p

In which step did the student first make a mistake and how can it be corrected?

Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)

Ken made $14,500 in five months at his new job. How much can he make in two years if his pay remains constant?

Zoe and Maria plan to hike at a rate of 3 miles per hour and canoe at a rate of 6 miles per hour. They want to travel no more than 8 hours and cover at least 40 miles in one day. Which system of inequalities models the situation?