Answer:
see below
Step-by-step explanation:
(a + bi)²
= a² + 2abi + b²i² (This is because (a + b)² = a² + 2ab + b²; in this case, a = a and b = bi)
= a² + 2abi + b² · (-1) (This is because i² = -1)
= a² - b² + 2abi (Simplify, rearrange)
= (a + b)(a - b) + 2abi (This is because a² - b² factors to (a + b)(a - b))
Hope this helps!
Answer:
Step-by-step explanation:
(a + bi)²
= a² + 2abi + b²i²
a² + 2abi + b² · (-1)
a² - b² + 2abi
(a + b)(a - b) + 2abi
Meredith borrows $12,560 and pays 2% simple interest each year for 4 years. What is the total amount of interest that she will pay on the loan?
Answer:
A = $13,564.80
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 2%/100 = 0.02 per year.
Solving our equation:
A = 12560(1 + (0.02 × 4)) = 13564.8
A = $13,564.80
The total amount accrued, principal plus interest, from simple interest on a principal of $12,560.00 at a rate of 2% per year for 4 years is $13,564.80.
Answer:
its b
Step-by-step explanation:
In how many different ways can you arrange 6 flower vases on a table?
Answer:
720
Step-by-step explanation:
To solve a problem like this, you do: !6
This basically means 6*5*4*3*2*1
6*5 = 30
30*4=120
120*3=360
360*2=720
720*1=720
3.5x + 4y if x=3 and y = 7
4 6x-42 if x =4 and 2
5.83 +4 ry if y=2 and y= 100
3,5× 3 + 4 × 7 =3 8,5
46*4-42=143 46* 2- 4 2= 50
5,83+4*2=13,83 5,83+4*100=405,83
Question is below thanks
Answer:
33.51
Step-by-step explanation:
There's a formula using the value of the angle but I don't remember it so the most easy way is:
A circle has an angle of 360°
so our section has an angle of 60
and we know that 360=60*6
so the area of the circle we divide it by 6 and we get the area we want
[tex]A=\pi r^2\\\\A=\pi (8)^2\\\\A=64\pi[/tex]
divide this by 6
[tex]A_1=A/6=64\pi/6\approx 33.51[/tex] units squared
Answer:
33.51
Step-by-step explanation:
hope it helps
Order the side lengths HI, IK, HJ, IJ, and K J from least to greatest.
Answer:
I think it's IH, IJ, JK, HJ, IK.
Help me on this questionnnn
Answer: 2,3,5
Step-by-step explanation:
1 poll
Olivia is 4 feet 10 inches tall. She compared her height with her younger
sister, Susan, and found that Susan is 15 inches shorter than she is. What is
Susan's height, in inches?
Answer:
Step-by-step explanation:
4 feet = 48 inches, add 10 inches = 58 inches
if susan is 15 inches shorter, 58- 15 = 43
43/12 = 3 feet 5 inches
1, 4, 16, 64, ______what follows
Answer:
[tex]256[/tex]
Step-by-step explanation:
[tex]We\ observe\ that,\\For\ every\ number\ n\ in\ the\ sequence, the\ number\ next\ to\ it\ is\ 4n.\\Hence,\\In\ order\ to\ continue\ the\ sequence:\\1,4,16,64,256[/tex]
Answer:
1, 4, 16, 64, 256
Step-by-step explanation:
The sequence follows the rule: n * 4
1 * 4 = 4
4 * 4 = 16
16 * 4 = 64
Multiply 64 by 4.
64 * 4 = 256
Hope this helps.
m&D = 65; m&C = 45; m&F = 55; m_H = 60; .
Find the measure of XE and &G.
Determine if ACDE - AFGH
rewrite in standard form y-2=4/3(x-1)
Answer:
y= 4/3x + 2/3
Step-by-step explanation:
distribute the 4/3 into the parenthesis. Rearrange and solve
Evaluate the following absolute value function for x=-1
y = 5|x+4|
Answer:
y=15
Step-by-step explanation:
y = 5|-1+4|
y=5|3|
y=15
Suppose an ice cream cone is 10 cm deep with a diameter of 4cm. How much ice cream can fit into the cone without it overflowing?
Answer:
6 inches tall and has a diameter of 2 inchces
Step-by-step explanation:
If Zuri continues to travel at 0.2 miles per minute. how far will she travel in one hour?
Answer:
1.2 miles yr welcome
A pair of boots has an original price of $95. They are on sale for 35 percent off. What number can you multiply $95 by to equal the discounted price of $61.75? 0.35 0.60 0.65 0.95 I WILL GIVE BRANLIEST
Answer:
it will be 0.65
Step-by-step explanation:
Answer:
The Answer is .35 or 35%
Step-by-step explanation:
Find the volume of a right circular cone that has a height of 11.1 in and a base with a
circumference of 17.6 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
V = 0.8 in^3
Step-by-step explanation:
Formula:
V = πr^2(h/3)
C = 2πr
Given:
h=11.1
C = 17.6
C = 2πr
17.6 = 22πr
0.8/π = r
V = πr^2(h/3)
V = π(0.8/π)^2((11.1)/3)
V = π(0.0648455575)(3.7)
V = 0.8 in^3
Dario spends 3 1/2 hours on the phone with technical support and pays $10. What is his unit rate?
Answer:
20/7 dollars per hour
Step-by-step explanation:
He pays 10 dollars per 3 1/2 hours. To find the unit rate, we divide the two.
10 / (3 1/2) =
10 / (7/2) =
(10/1) x (2/7) =
20/7
What is the difference of the polynomials?
I will give 40 points
Answer:
im answering this for the points and also u lied about how many points i would be getting. -.-
Step-by-step explanation:
answer is C i think
Answer:
7x^{2} +3y^{2} -4x
Step-by-step explanation:
12-5=7
-11-(-14)=3
-13-(-9)= -4
so it will be [tex]7x^{2} +3y^{2} -4x[/tex]
a(x+b)=c+d
Solve for x. Step by step.
Answer:
x= (c+d-ab)/a
Step-by-step explanation:
ax+ab=c+d
ax=c+d-ab
x= (c+d-ab)/a
Find the distance represented by x
the distance of X is 180ft
A U.S. government survey in 2007 said that the proportion of young Americans that earn a high school diploma is 0.87. a)Suppose you took a simple random sample of 100 young Americans. We know because of sampling variability that the sample proportion of those who earned a high school diploma would vary each time you took a sample. Assuming the value above can be taken as the population proportion (i.e. as a parameter), what model can be used to describe how these sample proportions would vary
Answer:
normal distribution can be used to model the sample proportions
Step-by-step explanation:
N ( sample size ) = 100
probability of earning high school diploma (p) = 0.87
probability of not earning high school diploma ( q ) = 0.13
hence ;
∈( P ) = p = 0.87
Var ( p ) = [tex]\frac{pq}{n}[/tex] = [tex]\frac{0.86 * 0.13 }{100}[/tex] = 0.001131
therefore ; p ~ N = ( 0.87 , 0.001131 )
Evaluate the limit, if it exists. PLEASE SHOW WORK
lim x 5 x^2-3x-10\2x-10
Answer:
-350
Step-by-step explanation:
5×2-3×-10/2×-10
=10-3×-50
=7×-50
=-350
the FCMS basketball team has 21 wins and 14 losses write the ratio of wins to total in simplest form. Answer Choices: 21/14 21:35 3/5 3/2.
Answer:
d. 3/2
Step-by-step explanation:
Which statements are true about triangle XYZ? Select three options.
XY measures units.
YZ measures units.
ZX measures units.
XYZ is a right triangle.
XYZ is a scalene triangle.
First, second and fourth options are true about triangle XYZ.
XY measures [tex]\sqrt{26}[/tex] units.
YZ measures [tex]\sqrt{52}[/tex] units.
ZX measures [tex]\sqrt{26}[/tex] units.
XYZ is a right triangle.
What is right triangle?A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.
Given X (-1, 5), Y (4, 4), Z (-2, 0)
Distance between two points D = [tex]\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1}) ^{2}}[/tex]
|XY| = [tex]\sqrt{(4-5)^{2} +(4+1)^{2} } =\sqrt{1^{2}+5^{2} } =\sqrt{26}[/tex]
|YZ| = [tex]\sqrt{(0-4)^{2} +(-2-4)^{2} } =\sqrt{4^{2}+6^{2} } =\sqrt{52}[/tex]
|XZ| = [tex]\sqrt{(0-5)^{2} +(-2+1)^{2} } =\sqrt{5^{2}+1^{2} } =\sqrt{26}[/tex]
[tex]|XY|^{2} +|XZ|^{2} =|YZ|^{2}[/tex]
So, XYZ is a right triangle.
So, the first, second and fourth options are correct.
Find out more information about right triangle here
https://brainly.com/question/6322314
#SPJ3
Answer: a and d
Step-by-step explanation:
edge
what is the relationship of the angles
Answer:
Alternate Interior Angles
Answer:
a
Step-by-step explanation:
f(x)=2x 5 −13x 4 +22x 3 −187x 2 −160x+336
Answer:
i think 3
Step-by-step explanation:
WILL MARK BRANLIEST TO THE CORRECT ANSWER!
You decide to invest $250 in an account that yields a return of approximately 4% each year. What is the value of you investment after 15 years if you make no further deposits or withdrawals?
Answer:
$450.24
Step-by-step explanation:
According to my quiz...
HELP DUE IN 2 MIN
The ratio of boys to girls in a classroom is 6 to 5. If
there are a total of 18 boys in the classroom, find
the number of girls in the classroom.
Answer:
15
Step-by-step explanation:
18/3=6
15/3=5
Answer:
15
Step-by-step explanation:
If the ratio is 6:5 and we know the boys are 18, we have 18:?
18/6=3, so we have to do 5*3. 5*3=15.
The ratio is 18:15, the number of girls in the classroom is 15
A computer's hard disk holds 7.5 * 107 bytes of information. Jaden adds an extra memory stick so he can store a total of 7.75 X 107 bytes of information. The memory stick holds mx 109 bytes of information, where mis and n is
Answer:
I believe that the awnser is 2.5 and 6
Step-by-step explanation:
Answer:
The other person is right
Step-by-step explanation:
I need help urgently! Will mark the brainliest
Answer: 100
Step-by-step explanation:
4(5)^5
4 x 5^5
4 x 25
100
Grade 4 Mathematics- Checkpoint #3
In 2008 the total number of cell phone users in Indonesia was about 140,578,000. Which expression has the same value as 140,578,000?
Answer:
2^4 x 5^3 x 70289
Step-by-step explanation:
16 x 125 x 70289=140,578,000