Write the expression (2−3i)+5i(1−3i)
as a complex number in standard form.
Answer:
17 + 2i
Step-by-step explanation:
Given
(2 - 3i) + 5i(1 - 3i) ← distribute both parenthesis
= 2 - 3i + 5i - 15i² [ i² = - 1 ]
= 2 + 2i + 15
= 17 + 2i ← in standard form
The standard form of a complex number (2 − 3i) + 5i(1 − 3i) is 17 + 2i.
What is a complex number?
A complex number is a component of a number system that includes the imaginary unit, represented by the letter i as an extension of the real numbers.
Given:
(2−3i) + 5i(1−3i)
Use the distributive property and expand the expression,
(2 − 3i + 5i - 15i²)
2 + 2i - 15(-1) [i² = - 1]
2i + 17
Therefore, the standard form of a complex number (2 − 3i) + 5i(1 − 3i) is 17 + 2i.
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There are 12 circles and 15 triangles. What is the simplest ratio of circles to triangles
Answer:
4:5
Step-by-step explanation:
45% of _____________is 165
Answer:
366.666666Step-by-step explanation:
Let the number be x
45% of x = 165x*45/100 = 165x = 165*100/45x = 366.666666I need the answers bad
Answer:
m<1=72
m<2=72
m<4=72
Step-by-step explanation:
FINDING ANGLE MEASURES
Find x.
which of the following is a non terminating decimal ( )
a)¾ b) ⅘ c)⅓ d) none
C is a non terminating decimal.
a = 0.75
b = 0.8
c = 0.333333 (and will never terminate)
1 The ratio of boys to girls is 3-2. If
there are a total of 20 children in
Mrs. Barlow's class, how many are
girls?
Explain how you solved this problem
A 5
В. О
C. 8
D 2
can you guys help please??
Mrs. Olive used 1 2/5 quarts of syrup and 5 3/10 quarts of water to make lemonade. How many quarts of lemonade did she make? * A. 6 1/2 B. 6 7/10 C. 7 1/2 D. 8
Answer:
B. 6 7/10
Step-by-step explanation:
We solve the above y by carrying out addition.
The quarts of Lemonade she made is calculated as:
1 2/5 quarts of syrup + 5 3/10 quarts of water
= 1 + 5 + (2/5 + 3/10)
Lowest common denominator = 10
= 6 ( 4 + 3/10)
= 6 7/10 quarts of Lemonade
Mrs Olive made 6 7/10 quarts of Lemonade
Giving brainliest need help with this please
Answer:
y-intercepts: (0,5)
x-intercepts: (5/2,0)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y
What factor would you need to multiply(3x – 1) by to get922 - 12
ОА 3
B.
2
3x + 1
0
32 - 1
Answer:
32 - 1
Step-by-step explanation:
1.4 –
( ___ ) = 2
i need an answer but it wont let me paste the picture :(
Answer:
answer is -0.6
Step-by-step explanation:
Answer:
0.6
Step-by-step explanation:
1.4 - -0.6 = 2
What are the slope and y-intercept for the graph of y = -10x + 2?
Answer: slope is -10, y intercept is + 2
Step-by-step explanation:
slope is -10, y intercept is + 2
If g(x) = 2(x – 4), find the value of x if g(x) = 20. (2 points) 0 14
Answer:
x = 14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
g(x) = 2(x - 4)
g(x) = 20
Step 2: Solve for x
Substitute: 20 = 2(x - 4)Divide 2 on both sides: 10 = x - 4Add 4 to both sides: 14 = xRewrite: x = 14Graph the line with the equation y = -5x + 2.
This will generate a line quickly dropping from left to right, with an x-intercept of 0.4 and a y-intercept of 2.
See the attached image for the actual graph.
solve each system using the substitution method 6x-y=-4 and 2x+2y=15
please help its timed
Answer:
no solutions
Step-by-step explanation:
If Tomas rides his bike at a steady rate of 4 miles in 6 minutes, how much miles can he do in 1 minute? PLEASE HELP
Help plssssssssss!! Will give brainliest!! 1 and 2
Answer:
Step-by-step explanation:
5+4^2-6/3
use pemdas
Answer:hahaj
Step-by-step explanation:
Zola and her friends are going bowling. The bowling alley charges each person a $14 fee to rent shoes, plus $4.50 per game. Which equation represents the cost, y, for each friend to go bowling in terms of the number of games played, x?
Answer:
X+14=y
Step-by-step explanation:
what 25 time 358 divided by 1.6
Answer:
5593.75
Step-by-step explanation:
I will give lotta points and brainly, find the area and plz make it correct
Answer:
The area of what?? Is there a picture or something to go with this...
Step-by-step explanation:
Also the area of a rectangle, square, or parallelogram is Base x Height
The area of a triangle is (base x height) ÷ 2
The area of a circle is πr²
The area of a hexagon is ([tex]\frac{3\sqrt{3} }{2}[/tex]) x length of 1 side
The area of a trapezoid is [(base 1 + base 2) ÷ 2] x height
If there is a shape inside of another shape, find the area of the smaller shape and subtract it from the area of the larger shape.
That's all I can do to help because I don't know what you want me to find the area of :/
Joshua and Brandon buying a pizza for their math class. They will spend $77. Joshua will pay six times more then Brandon. How much will Joshua pay?
Answer:
$66
Step-by-step explanation:
For this problem, we will simply write two equations to solve how much each person will pay.
Let x represent the amount of dollars joshua pays and y represent the amount of dollars brandon pays. Then we can say the following:
x + y = 77
x = 6y
Using these two equations, we can solve for how much Joshua will pay.
x + y = 77
6y + y = 77
7y = 77
y = 11
x + y = 77
x + 11 = 77
x = 77 - 11
x = 66
Hence, Joshua pays $66 and Brandon pays $11.
Cheers.
Dominic invested $19,000 in an account paying an
interest rate of 6.1% compounded monthly. Assuming
no deposits or withdrawals are made, how much
money, to the nearest dollar, would be in the account
after 16 years?
Answer:
A≈50298
Step-by-step explanation:
Pythagorean Theorem
As part of Fort Yargo State Park's Geocaching
spectacular, Kylee, Constance, Zoe go on a GPS
treasure hunt. They start at the welcome center and
walk 250 feet due north. They then turn and walk 100
feet due east. They turn again and walk 150 feet due
south to the first geocache.
How far are Kylee, Constance, and Zoe from the
welcome center?
ANSWER ASAP
The height h of a square pyramid can be determined from the equation h = l2−(s2)2−−−−−−−−√ , where l is the slant height of the pyramid and s is the side length of the square base. What is the slant height l of the square pyramid shown?
Answer:
I believe the answer is 34 cm (I may be wrong but I'm 98% that my answer is correct)
Step-by-step explanation:
(excuse my handwriting on the ss its hard to write on a computer lol)
hope this helps :)
PLEASE HELP ASAP
Louis earns a base monthly salary of $1,200 with 5% commission on sales. For a month with $25,000 in sales, what are Louis's total earnings?
Answer:
$2,450
Step-by-step explanation:
Since Louis earns 5% commission on sales, multiply the sales by 0.05:
25,000 × 0.05 = 1,250
Add that to the base salary:
1,250 + 1,200 = 2,450
Hope this helped!
Marshall gave the cashier $100 to pay for 4 new video games. The cashier gave him $4.08 in change. Each video game cost the same amount. What is the cost in dollars and cents for each video game? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
Cost in dollars and cents for each video game = $23.98
Step-by-step explanation:
Total amount Marshall paid for four video games = $100
Total change given to Marshall = $4.08
Actual cost of the video games = Total amount Marshall paid for four video games - Total change given to Marshall
= $100 - $4.08
= $95.92
Total number of videos games bought = 4
What is the cost in dollars and cents for each video game
Cost of each video game = Actual cost of the video games / Total number of videos games bought
= $95.92 / 4
= $23.98
Cost in dollars and cents for each video game = $23.98
23 dollars .98 cent
this is a little tricky I need help
Answer:
1.5
Step-by-step explanation:
8% as a fraction in its simplest form
Answer:
8/100 Simplified is 2/25 in it's simplest form!
Step-by-step explanation:
Hope this helps! :)
Have a great day!
The number 8 % as a fraction in the simplest from is 2/25
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be represented as A
Now , the value of A is = 8 %
So , the equation will be
The value of A = 8 %
Now , the value 8 percentage can be written as a fraction of 100
So , the value of A will be
The value of A = 8/100
Now , on dividing the numerator and denominator by 4 , we get
The value of A = 2 / 25
So , the value of A in the simplest form of the number A is 2/25
Hence , The number 8 % as a fraction in the simplest from is 2/25
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This month, a marching band has 60 musicians. If the number of musicians in the band last month was 51 members, what percent of increase was this? (Round to the nearest percent)
Answer: Happy holidays!