Answer:
Option BStep-by-step explanation:
Given:
4 - 3iConjugate of the given number is:
4 + 3iDivide the given number by its conjugate:
(4 - 3i) / (4 + 3i) = (4 - 3i)(4 - 3i) / (4 + 3i)(4 - 3i) =(16 + 9i² - 24i) / (16 - 9i²) = (16 - 9 - 24i) / (16 + 9) = (7 - 24i) / 25 = 7/25 - 24i/25Correct choice is B
A jar contains 6 red marbles, 3 green marbles, 5 white marbles, and 7 yellow marbles. Find the probability of drawing a green marble. All answers should be given as a fraction in simplest form!
Any help is appreciated! Thanks!
Answer:
simple - 1/21 chance
Step-by-step explanation:
since its asking for the probability of "a" marble, and not all the green marbles, you add everything up and slap what outcome (1 in this case) on top of the 21
here is cat
Answer:
3 is for green marbles
21 is the total of all marbles
Step-by-step explanation:
you only have 1 event so I think we don't need some formula or something
the formula is this if the event A and B has no intersection P( A U B)= P(A)+P(B)
and if it has intersection, the formula is like this P( A ∩ B)=P(A)+P(B)-P( A ∩ B)
11 times z=121
(11xz=121
Answer:
z will be11
11z = 121
z = 121/11
z= 11
Answer:
1=121= 11
Step-by-step explanation:
how many times can 495 go into 156
Answer:
0
Step-by-step explanation:
Answer:
0.315 times
Step-by-step explanation:
156÷495 ≈ 0.315
Have a good day :)
There are two bags of oranges on sale. The prices are shown below: Bag A: $2400 containing 12 oranges Bag B: $3000 containing 20 oranges Which is the better buy?
Answer:
Bag B which is $150 for one orange
Step-by-step explanation:
In ,bag A 12 oranges cost 2400
The price of one orange in bag A is
= 2400/12
= $200
In bag B 20 oranges cost $3000
The cost of one orange in bag B is
= 3000/20
= $150
Hence the better buy is bag B which goes for $150 for one orange
The axis of symmetry for the graph of the function f(x)=3x2+bx+4 is What is the value
of b?
-18
-9
9
18
Answer:
B.) -9
Step-by-step explanation:
The value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9
How to calculate the axis of symmetry of a function?The standard equation of a function in vertex form is given as:
f(x) = (a + x)^2 + h
Given the function f(x)=3x^2+bx+4 with an axis of symmetry of 3/2, the vertex is expressed as:
3/2= -b/2a
-b/2(3)=3/2
-b/6=3/2
Cross multiply
-2b = 18
-b=9
Hence the value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9
Learn more on axis of symmetry here: https://brainly.com/question/21191648
Please help brainiest to correct answer
Answer:
x = 1+sqrt(69)/8 about 2.0383
or
x = 1-sqrt(69)/8 about -0.0383
Step-by-step explanation:
Use the quadratic formula:
(Move 17 to the left side first though)
(-b±√(b²-4ac))/2a
(1±sqrt(1-4*1*-17))/2(4)
x = 1±sqrt(69)/8
The most efficient method is the quadratic equation because the equation is not easily factorable and a!=1.
A farmer has 200 feet of fencing to use for a chicken pen. He wants the width of the pen to be 27 feet. What will the length be?
Answer:
Length will be 173
Step-by-step explanation:
ASAP!!!!
In a class of 30 students, 17 have a brother and 14 have a sister. There are 8 students who have a brother and a sister. What is the probability that a student chosen randomly from the class does not have a brother?
Answer:
[tex]\frac{14}{30} = 7/15[/tex]
The probability that a randomly selected student has a brother given they have a sister is 11/30.
We have given that,
Of 30 students in a class, 17 have a brother, 20 have a sister, and 11 have a brother and a sister.
What is the formula for probability?The Probability of an event is the ratio of the number of favorable events divided by the total number of outcome in the sample space.
Since there are 30 students in total, and 11 of them have both a brother and a sister,
Then 11/30 (11 out of the 30 students) would be the probability of a student having a brother given that they have a sister.
To learn more about the probability visit:
https://brainly.com/question/24756209
#SPJ2
Find the equation of a straight
line passing through the point of
intersection of the lines
y = 2x +3 and x +y = 3 and
parallel to the line y = -5x +7
Answer:
y = -5x + 3.
Step-by-step explanation:
We can find the point of intersection by solving the system:
y = 2x + 3 .... 1
x + y = 3 ...... 2 from this:
y = 3 - x ....... .3
Equating equations 1 and 3:
2x + 3 = 3 - x
3x = 0
x = 0 so y = 2(0) + 3 = 3.
So the point of intersection is (0, 3).
So the required equation has slope -5 and passes through (0, 3) and, using the point-slope form of a straight line, we have:
y - 3 = -5(x - 0)
y - 3 = -5x
y = -5x + 3.
Two similar cylinders have radii of 15 inches and 6 inches. What is the ratio of the surface area of the small cylinder to the surface area of the large cylinder.
Answer:
4:25
Step-by-step explanation:
Given that,
r₁ = 15 inches, r₂ = 6 inches
The area of the cylinder is given by :
[tex]A=2\pi rh+2\pi r^2[/tex]
The ratio of surface areas of two cylinders,
[tex]\dfrac{S_2}{S_1}=\dfrac{2\pi r_2h_2+2\pi r_2^2}{2\pi r_1h_1+2\pi r_1^2}\\\\\dfrac{S_2}{S_1}=(\dfrac{r_2}{r_1})^2\\\\=\dfrac{6}{15}^2\\\\=\dfrac{4}{25}[/tex]
Hence, the required ratio is 4:25.
An equilateral triangle has perimeter P. The length of one side is P/3. Which expression is equivalent to the length on one side
Answer: [tex]3\times \dfrac{P}{3}=P[/tex]
Step-by-step explanation:
Given
The perimeter of one equilateral triangle is P
The lengths of the equilateral triangle are equal
Suppose x is the length of each side
[tex]\therefore 3\times x=P\\\\\Rightarrow x=\dfrac{P}{3}[/tex]
i.e.
[tex]\Rightarrow 3\times \dfrac{P}{3}=P[/tex]
What is the solution to
(y = 3x - 30
x2 + y2 = 100
Answer:
x = 20
y = 30
Step-by-step explanation:
Answer:
x = 20
y = 30
Step-by-step explanation:
y = 3x - 30
2x + 2y = 100
2x + 2(3x - 30) = 100
2x + 6x - 60 = 100
8x - 60 = 100
8x = 160
x = 20
y = 3(20) - 30
y = 60 - 30
y = 30
A bag contains 5 red marbles, 3 blue marbles and 6 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be green?
Answer:
15/91
Step-by-step explanation:
P(G,G) = 6/14 x 5/13 = 15/91
Please help I’ll give 5 stars
What is a explication for linear relationship?
Step-by-step explanation:
A linear equation in two variables can be described as a linear relationship between x and y, that is, two variables in which the value of one of them (usually y) depends on the value of the other one (usually x). In this case, x is the independent variable, and y depends on it, so y is called the dependent variable
Ben walks to the zoo, and then walks to the city park. What is the least number of blocks Ben walked?
Solution :
It is given in the question that Ben goes to the zoo by walking and then he walks down to the city park. He moves several blocks while walking from his home to the zoo and then to the city park.
The figure is provided below.
So from the picture, the least number of blocks that Ben had walked from his home to the city park can be found out by counting the number of blocks he moved.
So the least number of blocks will be = 19
Which two triangles below are similar?
Answer:
Triangle A and B
Step-by-step explanation:
Both triangles have two same angles.
If Triangle A is rotated like Triangle B, they would be the same.
Vice versa, if Triangle B is rotated like Triangle A, it would be the same.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
It rains 7 out of every 10 days.
What is the chance of rain on one day?
Answer:
if it rains 7 out of 10 days the chance of rain for one day is 70%
Step-by-step explanation:
Write the equation of the line in slope-intercept form.
Answer: The equation of the line in slope-intercept form is “y = 4/3x + 4.”
If 2y =a and y =3x +12 what is a?
Step-by-step explanation:
2y=a
y=a/2
putting value of y
y=3x+12
a/2=3x+12a=6x+24stay safe healthy and happy ...You have a piggy bank that contains 2 pennies, 4 nickels, 8 dimes, and 6 quarters. Find the probability of picking a coin worth more than 10 cents. .
Answer:
The probability is 3/10
Step-by-step explanation:
So a quarter is the only coin that’s worth more than 10¢ so 6/20 = 3/10
in a school ,the number of boys who play cricket is 3 times as much as a number of boys who play tennis. if 12 boys, who play cricket, play tennis instead, the number of boys who play each of these sports would be the same. find the number of boys who play tennis
Answer:
The number of boys who play tennis is 36.
Step-by-step explanation:
Let the number of boys who play tennis is x.
number of boys who play cricket = y
x = 3 y..... (1)
12 boys plays both cricket and tennis.
According to the question,
x - 12 = y + 1 2
3 y - 12 = y + 12
2 y = 24
y = 12
So, the number of boys who plays tennis is x = 3 x 12 = 36.
I need help immediately!!!!!!!
Answer:
y = -2/3x - 5
Step-by-step explanation:
PLEASE HELPPPP THE DROP DOWN MENUES ARE ALL THE SAME
Answer:
a) distributive property
b) combining like terms
c) commutative property of addition
+
Find the missing side to the nearest tenth 23 and 19
Question 3
What is the slope of the line?
Please
Answer:
2
Step-by-step explanation:
the product of gordan’s age and 4 is 52
Helpppppppppopppppopjompmpnkbkbkbkhhhhhhhhhhhhhhhhhhhhhhhhhhhhghhhghhhhhhhh
The heights of the girls on a basketball team are shown in the table.
pls hurry
A 7 character computer password is made up of 3 letters followed by 4 numbers. How many different passwords are possible?
Answer:
the answer is 456,976,000
Answer:
✅ C. 456,976,000⬇️ i got it right
A lampshade has a height of 12cm and upper and lower diameters of 10cm and 20cm A)what area of material is required to cover that curved surface of the frustum B)what is the volume of the frustum (Give both answers in terms of pie)
Answer:
[tex](a)\ Area = 195\pi[/tex]
[tex](b)\ Volume = 700\pi[/tex]
Step-by-step explanation:
Given
[tex]h = 12[/tex]
[tex]d_1 = 10[/tex] --- lower diameter
[tex]d_2 = 20[/tex] --- upper diameter
Solving (a): The curved surface area
This is calculated as:
[tex]Area = \pi l(r_1 + r_2)[/tex]
Where
[tex]r_1 = 0.5 * d_1 = 0.5 * 10 = 5[/tex] --- lower radius
[tex]r_2 = 0.5 * d_2 = 0.5 * 20 = 10[/tex] --- upper radius
And
[tex]l = \sqrt{h^2 + (r_1 - r_2)^2[/tex] ---- l represents the slant height of the frustrum
[tex]l = \sqrt{12^2 + (5 - 10)^2[/tex]
[tex]l = \sqrt{12^2 + (-5)^2[/tex]
[tex]l = \sqrt{144 + 25[/tex]
[tex]l = \sqrt{169[/tex]
[tex]l = 13[/tex]
So, we have:
[tex]Area = \pi l(r_1 + r_2)[/tex]
[tex]Area = \pi * 13(5 + 10)[/tex]
[tex]Area = \pi * 13(15)[/tex]
[tex]Area = 195\pi[/tex]
Solving (b): The volume
This is calculated as:
[tex]Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))[/tex]
This gives:
[tex]Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))[/tex]
[tex]Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))[/tex]
[tex]Volume = \frac{1}{3}\pi * 12 * (175)[/tex]
[tex]Volume = \pi *4 * 175[/tex]
[tex]Volume = 700\pi[/tex]
Exponential functions are in the form f(x)=a(b)x−h+k. What does a negative "a" value do the graphed equation?
Moves the equation "a" spaces right
Moves the equation "a" spaces right
Moves the equation "a" spaces left
Moves the equation "a" spaces left
The "a" value can't be negative
The "a" value can't be negative
Reflects the graph over the y-axis
Reflects the graph over the y-axis
Reflects the graph over the x-axis
please answer as soon as possible for brainlist