Answer:
B: 20
Step-by-step explanation:
15+
3+
2
-----
20
Find the quotient. Show all work for full credit.
Answer:
2.2 - 0.4\(i\)
Step-by-step explanation:
1. Approach
To divide by imaginary number, one must take the fraction and multiply the complex conjugate of the denominator. A complex conjugate is a complex number with its imaginary unit multiplied by (-1). Once one multiplies both the numerator and denominator by the complex conjugate, then the denominator should be a real number (this is because the complex numbers act like binomials when multiplied, and hence the difference of square property works). Now all one has to do is divide every term in the numerator by the real number in the denominator.
2. complex conjugate
As mentioned above, to solve this problem, one has to multiply the numerator and denominator by the complex conjugate of the denominator. That is the complex number in the denominator with its imaginary until multiplied by (-1).
Complex number in the denominator;
(-8 - 6i)
complex conjugate;
(-8 + 6i)
3. Multiplying
Now, one has to multiply the problem's numerator and denominator by the complex conjugate of the denominator. Since a number over itself in fraction format is the same as multiplying by (1), one is allowed to do this;
\(\frac{-2-i}{-8-6i}\)
Multiply
\(\frac{-2-i}{-8-6i} * \frac{-8+6i}{-8+6i}\)
Distribute
\(\frac{(-2)(-8) + (-2)(6i) + (-i)(-8) + (-i)(6i)}{(-8)(-8)+(-8)(6i) + (-6i)(-8) + (-6i)(6i)}\)
4. Simplifying
Now all that is left is to simplify and divide to find the quotient.
=\(\frac{(-2)(-8) + (-2)(6i) + (-i)(-8) + (-i)(6i)}{(-8)(-8)+(-8)(6i) + (-6i)(-8) + (-6i)(6i)}\)
=\(\frac{16 - 12i +8i -6i^{2}}{64-48i+48i-36i^{2}}\)
Remember the rotations of \(i\), \(i^{2} = -1\)
Simplify further
\(\frac{16-4i+6}{64+36}\\\\=\frac{22-4i}{100}\)
Divide
2.2 - 0.4\(i\)
Would a permutation or combination be used to solve this problem? matilda, tanya, and renee are auditioning for a play. In how many ways can the girls fill the roles of a grandmother, mother, and daughter? responses combination combination permutation.
Answer: the answer is Permutation
Step-by-step explanation: I took the test
Evaluate
a-4 when a=7
The value is:
Answer:
3 is the answer to this problem
Answer:
Since we know a=4 all we have to do is plug 7 in for a and get the equation
7-4
Answer: 3
Step-by-step explanation:
There are 100 dears within a circular area with a radius of 10. Find the density of deer for 400 square miles.
The density of deer for 400 square miles is around 1:4 based on stated number of deers.
The density of deer will be given by the formula -
Population density of deer = number of deer/ area
Population density is the amount or number of individuals of a population on land per unit area.
Keep the value in formula to find the population density
Population density = 100/400
Cancelling zero as common in both numerator and denominator
Population density = 1:4
Thus, there is 1 deer for every 4 square mile.
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Find the indicated partial derivative.
f(x, y) = y sin−1(xy); fy(3,1/6).
fy(3,1/6)=_______
The required value of partial derivative of the given function is,
fy(3,1/6) ≈ 1.607.
To find fy,
We have to take the partial derivative of f with respect to y while holding x constant.
Using the chain rule, we have,
⇒ f(x, y) = y sin⁻¹(xy)
⇒ ∂f/∂y = sin⁻¹(xy) + y d/dy[sin⁻¹(xy)]
= sin⁻¹(xy) + y / √(1 - (xy)²) x
So, to find fy(3,1/6),
Substitute x = 3 and y = 1/6,
⇒ fy(3,1/6) = sin⁻¹(3/6) + (1/6) / √(1 - (3/6)²) x 3
= sin⁻¹(1/2) + 1/2
≈ 1.107 + 0.5
≈ 1.607
Therefore,
fy(3,1/6) ≈ 1.607 is the required value.
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if there are three leaves of lettuce on hectors sandwich, what is the cost of lettuce on his sandwich?Explain
HInt: every leave of lettuce is $0:02
Answer:
0.06$
Step-by-step explanation:
this is an area in which objects will interact with a magnet
A quadratic relation in the form y = ax² + bx + c and has a y-intercept of (0, 1). The parabola also goes through the points (2, 9) and (-5, 16). Determine the parameters of this quadratic relation (the values of a, b, and c).
Answer:
value of
a = 1
b = 2
c =1
and equation is
y = x² + 2x + 1
Step-by-step explanation:
Given quadratic equation y = ax² + bx + c
It has y-intercept of (0, 1)
thus, point (0,1) will satisfy equation y = ax² + bx + c.
putting 1 in place of y and 0 in place of x in equation y = ax² + bx + c we have
1 = a*0² + b*0 + c
c = 1
Thus, equation until now is y = ax² + bx + 1
____________________________________________________
The parabola also goes through the points (2, 9) and (-5, 16)
point (2, 9) will satisfy equation y = ax² + bx + 1.
putting 9 in place of y and 0 in place of 2 in equation y = ax² + bx + 1 we have
9 = a*2² + b*2 + 1
9 = 4a+2b+1
=>4a+2b = 9-1 = 8
dividing both side by 2 we have
4a/2+2b/2 = 8/2
=> 2a + b = 4
b = 4-2a
____________________________________________________
The parabola also goes through the points (2, 9) and (-5, 16)
point (-5, 16) will satisfy equation y = ax² + bx + 1.
putting 9 in place of y and 0 in place of 2 in equation y = ax² + bx + 1 we have
16 = a*(-5)² + b*(-5) + 1
16 = 25a-5b+1
=>25a-5b = 16-1 = 15
dividing both side by 5 we have
25a/5-5b/5 = 15/5
=> 5a - b = 3
second equation is 5a - b = 3
substituting value of b as 4-2a from first equation we have
5a - (4-2a) = 3
=> 5a - 4+2a = 3
=> 7a = 3+4 = 7
=> a = 7/7 = 1
value of b is 4-2a
substituting value of a as 1 in 4 - 2a we have
b = 4 - 2*1 = 4-2 = 2
Thus,
value of
a = 1
b = 2
c =1
and equation is
y = x² + 2x + 1
What is -6x multiplied by y
✿ ✿ ✿ ✿ ✿ \(Hi! :)\) ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶
\(QUESTION:\)
What is -6x multiplied by y? ✱ ✱ ✱ ✱ ✱
\(ANSWER:\)
\(-6xy\)
Hope this helps you!
Good luck on your assignment & enjoy your day!
\(GraceRosalia\)
~Just an emotional teen who listens to music
1+1 =
9+10 =
6+9 =
4+20 =
Apple + Orange =
Trick questions!!!
consider an undirected random graph of eight vertices. the probability that there is an edge between a pair of vertices is 1/2. what is the expected number of unordered cycles of length three?
In this random graph, we expect to find approximately 14 unordered cycles of length three.
In an undirected random graph of eight vertices, where the probability of an edge existing between any pair of vertices is 1/2, we can calculate the expected number of unordered cycles of length three.
To determine the expected number, we need to analyze the probability of forming a cycle of length three through any three vertices.
To form a cycle of length three, we must select three distinct vertices. The probability of selecting a particular vertex is 1, and the probability of not selecting it is (1 - 1/2) = 1/2. Hence, the probability of selecting three distinct vertices is (1)(1/2)(1/2) = 1/4.
Since we have eight vertices, the number of ways to choose three distinct vertices is given by the combination formula C(8, 3) = 8! / (3! * (8 - 3)!) = 56.
Therefore, the expected number of unordered cycles of length three is the product of the probability and the number of ways to choose the vertices: (1/4) * 56 = 14.
Therefore, in this random graph, we expect to find approximately 14 unordered cycles of length three.
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find the volume
6ft
4ft
3ft
(i know it’s not 72)
Answer:
\( \fbox{Volume \: of \: pyramid \: = 24 ft³}\)
Step-by-step explanation:
Given:
shape of object = Pyramidal
length of base l= 4ft
width of base w = 3ft
height of pyramid h = 6 ft
To find:
volume of pyramid = ?
Solution:
\(Volume \: of \: pyramid= \frac{l \times w \times h}{3} \\ Volume \: of \: pyramid= \frac{6 \times 4 \times 3}{3} \\ Volume \: of \: pyramid= \frac{24 \times \not3}{ \not3} \\ Volume \: of \: pyramid= 24 \: {ft}^{3} \)
\( \fbox{Volume \: of \: pyramid \: = 24 ft³}\)
Thanks for joining brainly community!Last year a town had a population of 2000 + x . If the population increased by 25 people this year, which of the following expressions represents this years population?
Answer:
Step-by-step explanation:
If the population of the town last year was 2000 + x, then this year's population, after an increase of 25 people, can be represented by the expression:
(2000 + x) + 25
In a survey of 25 students, 15 liked football and 7 students liked cricket and -5 students liked both football and cricket.Then tabulate the data and find the following numbers by using cardinality relation of two sets. A)number of students who like only football and cricket
B)Number of friends who do not like any of these two games.
C)Number of friends who like only i) football ii)cricket
In a survey of 25 students, 15 liked football and 7 students liked cricket and -5 students liked both football and cricket the number of students who like only football is 20.
Let's denote the set of students who like football as F, and the set of students who like cricket as C. We are given the following information:
|F| = 15 (number of students who like football)
|C| = 7 (number of students who like cricket)
|F ∩ C| = -5 (number of students who like both football and cricket)
To find the desired numbers using the cardinality relation of two sets, we can apply the principle of inclusion-exclusion.
A) Number of students who like only football and cricket:
We want to find |F \ C|, which represents the number of students who like only football. We can calculate this as follows:
|F \ C| = |F| - |F ∩ C|
= 15 - (-5)
= 15 + 5
= 20
Therefore, there are 20 students who like only football and cricket.
B) Number of students who do not like any of these two games:
We want to find the number of students who do not belong to either F or C, represented by |(F ∪ C)'|. Using the principle of inclusion-exclusion:
|(F ∪ C)'| = |Universal set| - |F ∪ C|
= 25 - (|F| + |C| - |F ∩ C|)
= 25 - (15 + 7 - (-5))
= 25 - (15 + 7 + 5)
= 25 - 27
= 2
C) Number of students who like only football or only cricket:
i) Number of students who like only football (|F \ C|):
We have already calculated this value in part A. |F \ C| = 20.
ii) Number of students who like only cricket (|C \ F|):
We want to find |C \ F|, which represents the number of students who like only cricket. Using the principle of inclusion-exclusion:
|C \ F| = |C| - |F ∩ C|
= 7 - (-5)
= 7 + 5
= 12
Therefore, The number of students who like only football is 20, and the number of students who like only cricket is 12.
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Plz help asp.................
Answer:
J,L M,O R,H
Step-by-step explanation:
Answer:
J,L M,O R,H
Step-by-step explanation:
Please help with math problem!! It is due tonight! I will give brainliest!! :)
Answer:
(6,-3)
Step-by-step explanation:
;-;
104
103
Simplify.
× 10⁹ = 10[?]
To solve, we'll work left to right.
First, we have division. When we are dividing terms with exponents, given that the base is the same, then we need to subtract the exponents.
10^4 / 10^3 = 10^1
Next, we have multiplication. When we are multiplying terms with exponents, given that the base is the same, then we need to add the exponents.
10^1 x 10^9 = 10^10
Answer: 10^10
Hope this helps!
Last week 52341people attended the local high school football game this week 7769 fewer people attended the local high schoolofootball game about how many people attende the game this week
In one of the trailers the characters, narrowly escape the displacer beast by jumping into what?
The characters in the trailer would need to reach an initial velocity of at least 13.4 m/s in order to safely jump the crevice and escape the displacer beast.
In one of the trailers, the characters narrowly escape the displacer beast by jumping over a crevice. To calculate the minimum velocity required for the jump, we can use the equation for the distance of an object thrown vertically upwards:
v1 = √(2gh)
where v1 is the initial velocity, g is the acceleration due to gravity (9.81 m/s2), and h is the height of the crevice.
For example, if the crevice is 6 meters deep, the required initial velocity to safely jump over it would be:
v1 = √(2 * 9.81 * 6)
v1 = 13.4 m/s
Therefore, the characters in the trailer would need to reach an initial velocity of at least 13.4 m/s in order to safely jump the crevice and escape the displacer beast.
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Complete question:
How do you calculate the minimum velocity required to jump over a crevice to escape a displacer beast?
Sum of four consecutive multiplies of 7 is 70.Find these multiplies.
please
Answer: 7, 14, 21, 28
Step-by-step explanation:
Let first multiple = x
So, second multiple = x + 7
Third = x + 14
Fourth = x + 21
According to the question,
=>x + (x + 7)+ (x + 14) + (x + 21) = 70
=>4x + 42 = 70
=>4x = 28
=>x = 7
So, the multiples are 7(x), 14(x+7), 21(x+14), 28(x+21)
Which equation matches the table?
An equation that matches the table include the following: y = x + 5.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (6 - 5)/(1 - 0)
Slope (m) = 1/1
Slope (m) = 1.
At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = 1(x - 0)
y - 5 = x
y = x + 5
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particle of charge Q is fixed at the origin of an xy coordinate system. At t=0 a particle (m−0.888g.q−3.19μC is located on the x axis at x=20.7 cm, moving with a speed of 38.3 m/s in the positive y direction. For what value of Q will the moving particle execute circular motion? (Neglect the gravitational force on the particle.) Number Units
To make the moving particle execute circular motion, the fixed particle at the origin must have a charge of approximately 8.00 nC.
Circular motion is achieved when there is a balance between the centripetal force and the electrostatic force acting on the moving particle. The centripetal force is provided by the electrostatic force between the two particles.
Given the mass of the moving particle (m = 0.800 g), its charge (q = 4.00 μC), its speed (v = 50.0 m/s), and its position on the x-axis (x = 20.0 cm), we can calculate the required charge of the fixed particle (Q).
The centripetal force is given by F_c = m * v^2 / r, where r is the distance between the particles. In this case, r = x = 20.0 cm = 0.20 m.
The electrostatic force is given by F_e = k * (Q * q) / r^2, where k is the electrostatic constant.
For circular motion, F_c = F_e, so we have:
m * v^2 / r = k * (Q * q) / r^2
Simplifying the equation, we can solve for Q:
Q = (m * v^2 * r) / (k * q)
Substituting the given values, we have:
Q = (0.800 g * (50.0 m/s)^2 * 0.20 m) / (k * 4.00 μC)
Using appropriate unit conversions, the final answer is approximately 8.00 nC.
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Therefore, to make the moving particle execute circular motion, the fixed particle at the origin must have a charge of approximately 8.00 nC.
A particle of charge Q is fixed at the origin of an xy coordinate system. At t=0 a particle (m=0.800 g, q=4.00 muC) is located on the x axis at x=20.0 cm, moving with a speed of 50.0 m/s in the position y direction. For what value of Q will the moving particle execute circular motion?
What is the equation of the line shown in the graph?
Answer:
y = -1x -2
Step-by-step explanation:
[] First, we can tell it is negative because it is going from top-left to bottom-right
[] Next, it intercepts the y-axis at -2, so our b is -2
[] Last, since it is graphed, we can use "rise over run"
() We move down one and to the right one, this becomes 1/1, which becomes a slope of 1, so our m is -1 since it is negative
Now let's plug our pieces in
Slope-intercept form is y = mx + b
y = mx + b
y = (-1)x + b
y = -1x -2
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Sydney i cutting the crut from the edge of her andwich. The dimenion, in centimeter, of the andwich i hown. A rectangle labeled andwich. The right ide i labeled 2 x quared 9. The bottom ide i labeled 2 x quared 8. Which expreion repreent the total perimeter of her andwich, and if x=1. 2, what i the approximate length of the crut?
Repone
4x217; 21. 8 centimeter
4 x quared plu 17 ; 21 point 8 centimeter
8x234; 43. 6 centimeter
8 x quared plu 34 ; 43 point 6 centimeter
8x234; 45. 52 centimeter
8 x quared plu 34 ; 45 point 5 2 centimeter
4x217; 22. 76 centimeter
The total perimeter will be 4x^+17 and length be 22.76 cm
As per the data given in the questions,
We have, the shape of the sandwich be rectangular.
We know that, perimeter of the rectangle can be determined by using formula: 2(l+b),
where, l = length of the rectangle
and, b = breadth of the rectangle
The expression for the perimeter of the sandwich would be:
2 (2x^2 + 9) + 2 (2x^2 + 8)
= 4x^2 + 26
Now for finding the length of the crust,
we will put the value of x=1.2,
So, the value of the approximate length of the crust would be:
=4x^2 + 26
= 4 * 1.2^2 + 26
= 22.76 centimetres.
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8. P(-3, -7) and (3,-5) fine the midpoint
Answer: 0,-6
Step-by-step explanation:
Midpoint Formula x1+x2/2, y1+y2/2
-3+3= 0/2=0 -7+(-5)= -12/2 = -6
0,-6
I need the answer help pls
Answer:
Step-by-step explanation:
What equations has the steepest graph?
An equation with the steepest graph has the largest absolute value of slope.
The equation with the steepest graph is the equation with the largest absolute value of slope.
A slope is a measure of how steep a line is.
If a line has a positive slope, it is rising to the right.
If a line has a negative slope, it is falling to the right.
If the slope of a line is zero, the line is horizontal.
To multiply the square root of 2 + i and its conjugate, you can use the complex multiplication formula.
(a + bi)(a - bi) = \(a^2 - abi + abi - b^2i^2\)
where the number is √2 + i. Let's do a multiplication with this:
(√2 + i)(√2 - i)
Using the above formula we get:
\((\sqrt{2})^2 - (\sqrt{2})(i ) + (\sqrt{2} )(i) - (i)^2\)
Further simplification:
2 - (√2)(i) + (√2)(i) - (- 1)
Combining similar terms:
2 + 1
results in 3. So (√2 + i)(√2 - i) is 3.
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Whereas the prevalence of depression in japan is only 3 percent in the united state the prevalence is almost six times that:_________
The likely factor that impacts the discrepancy in the prevalence of depression between Japan and the United States is sociocultural factors,
Here,
Sociocultural factors refer to the social and cultural influences that shape the behavior and experiences of individuals within a society. Japan and the United States have different social and cultural contexts, which can contribute to differences in mental health outcomes such as depression.
In Japan, there are certain sociocultural factors that may play a role in the lower prevalence of depression. These factors include a strong emphasis on collectivism, social support networks, close-knit communities, and cultural practices such as mindfulness and meditation.
Additionally, Japan has a more collective-oriented culture that places value on harmony and conformity, which may help reduce stress and contribute to better mental health outcomes.
On the other hand, the United States has a different sociocultural context characterized by individualism, higher levels of stress, and a focus on personal achievement. These factors can contribute to higher rates of depression in the United States.
It is important to note that while sociocultural factors are likely to play a significant role, other factors such as genetic differences, rates of stress, and self-esteem can also contribute to the prevalence of depression, but they may not be the primary reasons for the discrepancy mentioned in the question.
Thus option A is correct,
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Complete question:
Whereas the prevalence of depression in Japan is only 3 percent, in the United States the prevalence is almost six times that, at 17 percent. Which of the following factors likely impacts this discrepancy?
a. sociocultural factors
b. genetic differences
c. lower rates of stress in Japan
d. higher self-esteem among people in Japan
Brian’s employer withheld $15,987.76 in federal income tax. After completing his return, Brian has determined that his tax is $18,945.22. Will Brian get a refund, or does he owe the IRS and how much? Tax refund or owed = taxes paid – taxes due
To determine whether he will receive a refund or owe money to the IRS, the result is negative, Brian owes the IRS $2,957.46.
What do you mean by federal income tax?
The federal government levies an income tax known as the federal income tax on income received by people, businesses, and other entities in the United States. The amount of tax due is determined by a progressive tax system, which means that the tax rate rises as income rises. The tax is based on the income received by an individual or company.The national military, social welfare, and infrastructure development are just a few of the government initiatives and services that are funded in part by the federal income tax. An individual's federal income tax liability is determined by their income level, filing status, and any available deductions and credits.
Brian paid $15,987.76 in federal income tax and his actual tax liability is $18,945.22.
To determine whether he will receive a refund or owe money to the IRS, we can use the formula:
Tax refund or owed = taxes paid – taxes due
Tax refund or owed = $15,987.76 - $18,945.22
Tax refund or owed = -$2,957.46
Since the result is negative, Brian owes the IRS $2,957.46.
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The least multiple of 5 which is divisible by both 3 and 4 is -
Answer:
60
Step-by-step explanation:
The least multiple of 5 which is divisible by both 3 and 4 is 60