Answers
Answer:
-3+15i
Step-by-step explanation:
Apply complex arithmetic rule: [tex]\left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i[/tex]
[tex]\left(-3\cdot \:3-3\left(-2\right)\right)+\left(-3\left(-2\right)+3\cdot \:3\right)i[/tex]
-3 * 3 -3 (-2) = -3
[tex]-3+15i[/tex]
Related Questions
On a car trip , the number of miles driven , m , is proportional to the number of gallons of gas used , g , as shown in the table
Answers
Answer:
m = 32g
Step-by-step explanation:
The proportion between m and g can be written ...
m = kg
where k is the constant of proportionality.
__
We can find its value by dividing by g:
k = m/g
Using any pair of corresponding values from the table, we find ...
k = 64/2 = 32
The relationship between m and g can be expressed by the equation ...
m = 32g
PLEASEEE HELPPPP !!!!!!!!!!!!!!!!!!!!
Answers
Answer:
17.35
Step-by-step explanation:
All all divide by how many there were
Answer:
17.35
Step-by-step explanation:
Find the mean by adding all the numbers up and dividing by the amount of numbers in the data set
help me please, i have no idea what im supposed to be doing and my teacher isnt much help so im hoping someone else can help me
Answers
Answer:
(4, 2 ) and (2, 4 )
Step-by-step explanation:
xy = 8 → (1)
y = - x + 6 → (2)
substitute y = - x + 6 into (1)
x(- x + 6) = 8
- x² + 6x = 8 ( subtract 8 from both sides )
- x² + 6x - 8 = 0 ( multiply through by - 1 )
x² - 6x + 8 = 0 ← in standard form
(x - 4)(x - 2) = 0 ← in factored form
equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 2 = 0 ⇒ x = 2
substitute these values into (2) for corresponding values of y
x = 4 : y = - 4 + 6 = 2 ⇒ (4, 2 )
x = 2 : y = - 2 + 6 = 4 ⇒ (2, 4 )
A business may discriminate against a worker based on their nation of origin f t
Answers
Businesses are not to discriminate against their workers based on their nation of origin, but can discriminate based on age.
What is Age Discrimination for a Job ?Discrimination can simply be defined as favoring one person over another based on certain criteria or biases.
In almost all businesses, the law stipulates that certain criteria such as nation of orgin, race, disability among others should not be used against an indivdual. However, for age, certain age limit are permitted to be used by businesses to select employees.
Therefore, all business can discriminate against a worker using age.
Learn more about age discrimination on:
https://brainly.com/question/26408615
False:
A business may discriminate against a worker based on their nation of origin f t
No business are allowed to discriminate
Write down the bearing direction of ES in angle.
Answers
Answer:
045°
Step-by-step explanation:
[tex]135 - 90 = 45[/tex]
PLEASE HELP I NEED TO TURN THIS IN RIGHT NOW
James measures the water level from the top of a dock twice a day. The water level in the
morning is -2 feet. The water level in the afternoon is -6.5 feet. Which statement about the
relationship between the two measurements is true?
A. A water level of -6.5 feet is higher than a water level of -2 feet, as -6.5 > -2.
B. A water level of -2 feet is lower than a water level of -6.5 feet, as -2>-6.5.
C. A water level of -6.5 feet is the same as a water level of -2 feet, as -6.5 = -2.
D. A water level of -2 feet is higher than a water level of -6.5 feet, as -2> -6.5.
Answers
Answer:Letter D
Step-by-step explanation:If James is measuring the water level in the morning and it’s -2 feet and the water in the afternoon is -6.5 -2 is closer to the dock than -6.5 so it’s greater than -6.5 feet.
James bought a new TV. He made an initial payment of $40 to the store, and he
will pay $20 each month until the TV is paid off. Which equation represents the
relationship between x, the number of payments James has made, and y, the
total amount that James has paid the store?
-
A: y-40x+20
B: y-20
C: y - 20x-40
D: y-20x+40
Answers
Answer:
C y = 20x +40
Step-by-step explanation:
I think there is a typo in your question
monthly payment total = 20 x
total paid so far = 40 + 20x
y = 20x + 40
Use elimination to solve the system. The solution is ( , ). 3x+1/2y=3 6x-y=2
Answers
Answer:
x=13/33 and y=12/33
Step-by-step explanation:
x=13/33 and y=12/33
please help mee
Part A: If (2^6)x = 1, what is the value of x? Explain your answer. (5 points)
Part B: If (5^0)x = 1, what are the possible values of x? Explain your answer. (5 points)
Answers
(4)^x=1
(4)^0=1
1=1
X=0
(5^0)^x=1
(1)^x=1
x=(-∞,∞)
From a circular cylinder of diameter 10 cm and height 12 cm are conical cavity of the same base radius and of the same height is hollowed out. Find the volume and the whole surface of the remaining solid.
[tex](take \ \: \pi \: = 3.14) [/tex]
Answers
Step-by-step explanation:
Now, Given that:-
Diameter (d) = 10 cm
So, Radius (r) = 10/2 = 5cm
Height of the cylinder = 12cm.
[tex]volume \: of \: the \: cylinder \: = \pi {r}^{2} h[/tex]
[tex] = > \pi \times {5}^{2} \times 12 {cm}^{3} = 300\pi {cm}^{3} [/tex]
Radius of the cone = 5 cm.
Height of the cone = 12 cm.
[tex]slant \: height \: of \: the \: cone \: = \sqrt{ {h}^{2} + \: {r}^{2} } [/tex]
[tex] = > \sqrt{ {5}^{2}+{12}^{2} } cm \: = 13cm[/tex]
Volume of the cone = 1/3 *πr^2h
[tex] = > \frac{1}{3} \pi \times {5}^{2} \times 12 {cm}^{3} = 100\pi {cm}^{3} [/tex]
therefore, the volume of the remaining solid
[tex] = 300\pi {cm}^{3} - 100\pi {cm}^{3} \\ = 200 \times 3.14 {cm}^{3} = 628 {cm}^{3} [/tex]
Curved surface of the cylinder =
[tex]2\pi \: rh \: = 2\pi \times 5 \times 12 {cm}^{2} \\ = 120\pi {cm}^{2} .[/tex]
[tex]curved \: surface \: of \: the \: cone \: = \pi \: rl \\ = \pi \times 5 \times 13 {cm}^{2} \\ = 65\pi {cm }^{2} \\ area \: of \: (upper)circular \: base \: \\ of \: cylinder \: = \\ = \pi \: {r}^{2} = \pi \times {5}^{2} [/tex]
therefore, The whole surface area of the remaining solid
= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder
[tex] = 120\pi {cm}^{2} + 65\pi {cm }^{2} + 25 \pi {cm}^{2} \\ = 210 \times 3.14 {cm}^{2} = 659.4 {cm}^{2} [/tex]
Hope it helps you!!Help me please rjdjfhdhdbdbdbdbdb
Answers
Answer:
[tex]1609.1 m^{3}[/tex]
Step-by-step explanation:
The area of a triangle is 1/2 base * height.
The base of one side is 13, and the height is 30.
30 * 13 = 390
390 / 2 = 195
Now, there are six of these triangle faces, so multiply that number by six.
195 * 6 = 1170
Now, just add the area of the base:
1170 + 439.1 = 1609.1
Fifteen of the 25 students in the class are boys what percent of the students are boys
Answers
Answer:
60%
Step-by-step explanation:
15 of the 25 students are boys
number of boys over the total number of students in the class multiplied by 100% gives the percentage of boy students in the class
=15/25 ×100%
=60%
The sum of two numbers is 41. Double the first number reduced by triple the second
number is 12. What are the two numbers?
Answers
2x-3y=12
27+14=41
2•27-3•14=12
x=27
y=14
find the factors of 2x^3+x^2-13x+6.
Answers
Answer: The factors would be 1 and 2.
Step-by-step explanation:
I hope that helps!! Please correct me if I am wrong and have a great day!!
Which of the binomials below is a factor of this trinomial?
x2 + 6x-40
A. x2 + 10
B. X+6
C. *- 6
D. X-4
Answers
Answer:
D. x - 4
Step-by-step explanation:
(x - 4)(x + 10)
= x^2 + 6x - 40
A factor is something that multiplies together with something else to get a product. Here the factors are binomials and the product is a trinomial.
If you spend a spinner and toss a Penny what is the probability of getting gray and heads?
Answers
Answer:
The probability of getting gray = no. of gray shades / total
=> 2/7
The probability of getting head when we toss a penny = head / total ( head + tail )
=> 1/2
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer:
1/4
Step-by-step explanation:
read the picture please
Answers
Answer:
$49.90
Step-by-step explanation:
Thats what i got :)
Wow some people get PAID to babysit ?!!? XD
it is not 82 accidentally clicked it
Answers
Hi!
Your answer is 52.
To start off, let's start with some facts that will help us solve this:
Supplementary angles are two angles whose angle measures add up to 180 degrees. You can know that they are supplementary because they can be connected by a straight line.
Triangles (all of them) have angles that add up to 180 degrees.
We can start by using supplementary angles to solve. See where the angle of 67 degrees is? The one to the right of it is supplementary to it since they are on a straight line. That means their sum adds up to 180 degrees:
[tex]67 +?=180[/tex]
[tex]?=113[/tex]
That angle is 113 degrees.
Now, we have 2 out of 3 angles in the triangle. Since we know that triangles' angles add up to 180 degrees, we can make an equation:
[tex]15+113+x=180[/tex]
[tex]128+x=180[/tex]
[tex]x=52[/tex]
Therefore, x is equal to 52.
Write an equation for the line that is parallel to the given line and that passes though the given point
Answers
y = 4x -21 (again cool name btw) :)
y=4x-3 has slope = to the coefficient of the x term = 4
all parallel lines have the same slope.
y=4x + b, where b can be any real number, so just plug in the point (4,-5) into the general equation
y=4x+b = -5 = 4(4) + b
-5 = 16 + b
-21 = b
b = -21 = the y intercept, so the equation is
y=4x -21
There are 40 students in a class and 95% of these students passed their Chemistry text. What number of these students passed their test? Round you answer to the nearest whole number if necessary.
(Please answer, I will mark brainliest!)
Answers
Answer: 38 students
Step-by-step explanation:
To answer this question we will find 95% of 40. Keep in mind that a percent divided by 100 becomes a decimal.
95% / 100 = 0.95
0.95 * 40 = 38
38 students passed their test.
Mikayla drew 20 triangles and 25 circles on a piece of paper. What is the ratio of circles to triangles?
(no scams please!!)
Answers
Answer:
25/20 or 25:20 ( doesn't matter which)
Step-by-step explanation:
Circles :25
triangles :20
Answer:
25:20 or 5:4
Step-by-step explanation:
The ratio is the circle:triangle
Plug in the values.
25:20 = 5:4
Help me PLEASE. Im not smart T>T
Answers
Answer:
3 is D
4 is F
Step-by-step explanation:
Just multiple the numbers together
y=9x^2+162x+725 Complete the square to re-write the quadratic function in vertex form
Answers
what is the area of a 14cm square?
Answers
Answer:
The area would be 196 cm or 1.96 meters.
Step-by-step explanation:
Since it is a square, all of the sides are the same length.
So we do 14*14 to find the area.
14*14 = 196
So the answer is 196 cm or 1.96 meters.
A 64-ounce bottle costs $3.45. What is the cost per ounce? Round answer to the nearest cent.
Answers
Answer:
$0.05
Step-by-step explanation:
3.45 divided by 64
Arlo researched the starting salaries at the different companies that he applied to. Here is the data he found:
$24,640
$26,740
$23,620
$25,520
$24,710
$25,180
$25,520
$24,750
$24,710
$23,860
Find the mean, median, and mode of the data set. Show your work. (10 points)
Answers
Step-by-step explanation:
median -> $24.710+$25.180=$49.89
$49.98÷2=$24.945
mode -> $25.520 and $24.710
mean -> $24.640+$26.740+$23.620+$25.520+$24.710+$25.180+$25.520+$24.750+$24.710+$23.860= $249.25
$249.25÷10=$24.925
mean (add all your numbers together and then divide them by how many they are, here there are 10 numbers)
median (the middle one, if there are 2 in the middle, then you'd add those two numbers together and then divide by two)
mode (the number you see the most, mode *most*)
I hope all this helped, this took time. Take care!
Given the functions below, find f(2)-g(-7).
Will give brainliest :))
Answers
Answer:
49
There u go :)
Answer:
Given the functions below, f(2) - g(-7) is -34.
Step-by-step explanation:
f(2) - g(-7)
First solve f(2).
f(x) = -|3 - 8x|
Substitute variable.
f(2) = -|3 - 8(2)|
Multiply.
f(2) = -|3 - 16|
Subtract 16 from 3.
f(2) = -|-13|
Apply absolute value.
f(2) = -13
Now solve g(-7).
g(x) = x² + 4x
Substitute variable.
g(-7) = (-7)² + 4(-7)
Raise -7 to the second power.
g(-7) = 49 + 4(-7)
Multiply 4 and -7.
g(-7) = 49 - 28
Subtract 28 from 49.
g(-7) = 21
Now with those values, lets go back to our original equation.
f(2) - g(-7)
Substitute known values.
-13 - 21
Subtract 21 from -13.
-34.
solve for w and y
w=
y=
Answers
Answer:
w = 45
y = 45
Step-by-step explanation:
im really sorry if i got it wrong i just want to help
find the angle between unit vector I and a=√3i+j
Answers
Recall that for two vectors x and y,
x • y = ||x|| ||y|| cos(θ)
where θ is the angle between them.
We have
i • (√3 i + j) = √3
||i|| = 1
||√3 i + j|| = √((√3)² + 1²) = √4 = 2
Solve for θ :
√3 = 2 cos(θ)
cos(θ) = √3/2
θ = arccos(√3/2) = π/6
(Note that we assume θ is the acute angle between the vectors.)