Type the correct answer in each box.
,
then a = and b = .
Answer:
a = 0, b = -15
Step-by-step explanation:
Given the following complex number;
x1 = 3(cosπ+isinπ)
x2 = 5(cosπ/2 - isinπ/2)
x1x2 = 15(cosπcosπ/2 - icosπsinπ/2+isinπcosπ/2 -i²sinπsinπ/2)
x1x2 = 15(0 - i(-1)+0 -0)
x1x2 = 15(-i)
x1x2 = -15i
x1x2 = 0-15i
Since
0 - 15i = a+ bi
Compare
a = 0
-15- = bi
b = -15
Hence a = 0, b = -15
There is a bag filled with 2 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?
Answer:
Question:
A bag with 2 blue (B), 4 red (R) and 5 green (G) marbles (total 11 marbles).
Two are drawn at random without replacement.
Find probability of getting two marbles of same colour.
Solution:
We can get either 2B, 2R or 2G as successful outcomes.
To get two blue marbles (2B),
probability of the first one being blue = P(B)=2/11
probability of the second blue marble = P(-B)=1/10 (one left out of 10 left)
Probability that both are blue (use multiplication rule)
P(2B)=(2/11)(1/10)=2/110
Similarly, for two red marbles
P(2R)=(4/11)(3/10)=12/110
and for two green marbles
P(2G)=(5/11)(4/10)=20/110
Since all three events 2B, 2R and 2G are mutually exclusive, the probability
that any one can happen is the sum of the individual probabilities, thus
probability of getting two marbles of the same colour (without replacement)
=P(2B)+P(2R)+P(2G)
=2/110 + 12/110 + 20/110
=34/110
= 17/55
Step-by-step explanation:
4/11
hope this helps
A swimmer is racing to the other side of the
pool. The pool is 75 feet long. The
swimmer travels 2.5 feet per second. Create
a graph to represent the swimmer's distance
to the other side of the pool with relation
to time.
The graph of the equation y = -25x + 75 is attached.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Since the pool is 75 feet long, hence b = 75. Also the swimmer travels 2.5 feet per second to the other side, hence m = -25
The equation becomes:
y = -25x + 75
The graph of the equation y = -25x + 75 is attached
Find out more at: https://brainly.com/question/13911928
At a sale, coats were sold for 52% of their original price. If the coats originally cost $200 each, how much did a coat cost on sale?
Answer is 104
Step-by-step explanation:
PLEASE HELP WILL ADD BRAINLIEST!!!!!!
The area of a rectangle can be represented by the expression
x^2+2x-3
If the dimensions of the rectangle are known to be the factors of the expression, write each dimension of this rectangle as a binomial. (Write the two binomial factors that you are mulitplying together to get the area).
Answer:
I believethe answers are (x-1)(x+3)
Step-by-step explanation:
x^2 + 2x - 3 can be simplified to
(x+3)(x-1)
The factors of this expression are therefore (x+3) and (x-1)
The binomial of each dimension is:
x+3
x-1
Please help me! I’m giving brainliest to whoever is right first
Answer:
y = 10
x = 17
Step-by-step explanation:
4y - 3 = 37
4y = 37 + 3
4y = 40
y = 40 / 4
y = 10
3x - 9 = 42
3x = 42 + 9
3x = 51
x = 51 / 3
x = 17
Hope that helps!
Answer:
x = 17
y = 10
Step-by-step explanation:
Parallel sides are equal in length, so set them equal to each other.
3x - 9 = 42 --> Add 9 to both sides.
3x = 51 --> Divide both sides by 3.
x = 17
4y - 3 = 37 --> Add 3 to both sides.
4y = 40 --> Divide both sides by 4.
y = 10
Pls help pls pls pls pls URGENT!!!!!!!!
PLS SOMEONEEEEE
Answer:
1. 51
2. 30
Step-by-step explanation:
Solve for the nearest whole number
Solve for the missing angle
Answer:
33°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{11}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{6}{11}[/tex] ) = 33° ( to the nearest whole number )
Find AB, BC, and BC. Round to the nearest tenth
Answer:
i need more space to send the pic i did the math tho
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
20%
Step-by-step explanation:
9/45
To conduct an experiment, researches randomly select six students from a class of 20. How many different groups of six students are possible?
Answer:
3.33
Step-by-step explanation:
20 divided by 6 equals 3.33333333333
Round that you get 3.33
Multiply. Express in lowest terms. If you can simplify, what is the GCF you used ? what is 18 x 1/3
Answer:
Question 2 is 6
Step-by-step explanation:
I don’t understand what your asking on if you can simplify what is the GCF
Reagan grew 30 plants with 6 seed packets. With 7 seed packets, how many total plants can
Reagan have in her backyard? Assume the relationship is directly proportional.
plants
Submit
Answer:
35
Step-by-step explanation:
6 x 5 = 30
We can assume each seed packet has 5 seeds
6 x 7 = 35
Please help guys I don’t need nomore scammers
I need some help on this if possible
where C is the circumference, d is the diameter and r is the radius.
The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. The radius of the circle is a line segment from the center of the circle to a point on the circle. The diameter of a circle is twice the length of its radius.
If you are given the diameter then use the formula C = πd
If you are given the radius then use the formula C = 2πr
Step-by-step explanation:
Two similar triangles are shown. Triangle X Y Z is reflected across a line and dilated to form smaller triangle Q A G. ΔXYZ was dilated, then _____________, to create ΔQAG. translated reflected dilated rotated
Answer:
The answer is reflected . Triangle XYZ was dilated, then reflected to create triangle QAG. Explanation :-A dilation is a rigid transformation which creates a similar image as the real shape but with different size. A reflection is a rigid transformation which creates a mirror image of the original shape without changing its size.
Step-by-step explanation:
Answer
Reflected
Step-by-step explanation:
Took test EDGE 2021X
Question 7 of 10
What is the slope of the line shown below?
10+
O A. -2
5+
B. 6
(2, 2)
5
10
15
.102
SUBMIT
Answer:
Slope = 2Step-by-step explanation:
co-ordinates = (2,2) and (-1,-4)
Slope = (y² - y¹) / (x² - x¹)
= (-4 - 2) / (-1 - 2)
= -6 / -3
= 6/3
= 2
How to graph absolute value functions?
Answer:
DJthresh
ugh yet the wasn't Hagel
help asap i will give brainly to first person to anwser
Answer:
The answer is 8
Step-by-step explanation:
7x-9=4x+15
7x-4x=15+9
3x=24
x=24/3
x=8
pls mark BRAINLIEST
Answer:
m<ABC=<7x-9=7×8-9=47° is your answer
Step-by-step explanation:
4x+15=7x-9 vertically opposite angle
15+9=7x-4x
x=24/3=8
Please help me with the question please ASAP ASAP please please help ASAP ASAP please please help please
Answer:
x = 15 ft
Step-by-step explanation:
Triangle ACD is similar to triangle ABE based on the information given, therefore we can set up a proportion to compare the sides:
side AE / side EB = side AD / side DC
4/6 = 10/x
Solve for x
x = (10)(6) / 4
x = 60 / 4
x = 15 ft
What is the midpoint of the line segment with endpoints (-2,-2) and (4, 6)? O A. (2,4) O B. (1,4) O C. (1,2) O D. (2, 2)
Answer:
C) (1, 2)
Step-by-step explanation:
Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]
[tex]= (\frac{-2+4}{2},\frac{-2+6}{2})\\\\=(\frac{2}{2},\frac{4}{2})\\\\=(1,2)[/tex]
A right rectangular prism is shown with some measurements given in units. The length of the diagonal from point a to point B is 13 units
Answer:
Step-by-step explanation:
The diagonal of a three dimensional rectangle is defined as
d^2=x^+y^2+h^2 solving for h
h^2=d^2-x^2-y^2
h^2=13^2-3^2-4^2
h^2=169-9-16
d^2=144
d=12
What is the vertex of the function h(x) = (x+ 6 + 3? O A. (-6,-3) O B. (-6,3) OC. (6,3) OD. (6,-3)
Answer:
The vertex is ( -6, 3)
Step-by-step explanation:
h(x) = |x+ 6| + 3
Inside the absolute value is the h or the x coordinate of the vertex
Outside is the k or the y value of the vertex
It is in the form
h(x) = |x-h| + k where (h,k) is the vertex
h(x) = |x - -6| + 3
The vertex is ( -6, 3)
Answer:
B. (-6, 3)Step-by-step explanation:
Given function:
h(x) = |x + 6| + 3This is the translation of f(x) = |x|, 6 units left and 3 units up
So the vertex is (-6, 3)
Correct choice is B
Determine which function has a greater initial value and explain how you know.
function 1: y=2(1/3)^x
Answer - Function 2
Function 1 - y = 2x (1/3)^x x = 0 =2*0*1 = 0
Function 2 have the value for 3 for x = 0
Function 2 is greater
8. You are building a word bank for math word problems. A synonym that may be
used in a word problem involving additions might be:
A) sum
B) product
Ο Ο Ο Ο
C) quotient.
D) difference
Solve the system of equations below.
{X – y= 7
{2 – y= -4
O (5,2)
O (2,5)
O Ø
O Infinite
Answer:
fewaaaaa
Step-by-step explanation:
What improper fraction is equal to 8 1/6?
Answer:
Conversion a mixed number 8 1/6 to a improper fraction: 8 1/6 8 1/6 / 1 7/8 = 196/
45
= 4 16/
45
≅ 4.3555556
hope this helps you
Step-by-step explanation:
Use your knowledge of special cases to solve the problem.
( 3a - 2b )2 = ??
a) 9a^2 + 12ab + 4b^2
b)9a^2 - 4b^2
c)9a^2 - 12ab + 4b^2
Answer:
C
Step-by-step explanation:
We want to simplify:
[tex](3a-2b)^2[/tex]
Recall the perfect square trinomial pattern:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
Let a = 3a and b = -2b. Thus:
[tex](3a-2b)^2=(3a)^2+2(3a)(-2b)+(-2b)^2[/tex]
Simplify:
[tex]=9a^2-12ab+4b^2[/tex]
Our answer is C.
Find the interest
earned:
$4,000 for 4 years at
5% annual simple
interest
Answer:
Step-by-step explanation:
Answer:
I = $ 800.00
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 4000 × 0.05 × 4 = 800
I = $ 800.00
The simple interest accumulated
on a principal of $ 4,000.00
at a rate of 5% per year
for 4 years is $ 800.00.
hope it helps :)
D 122x - 123y + 124
An ice cream shop sells 24 scoops of vanilla ice cream and 42 scoops
of chocolate ice cream. What is the ratio of vanilla scoops to total scoops
of ice cream sold?
Answer:
24:66
Step-by-step explanation: