The value of z₁ / z₂ = (4 - j) / (2 + 5j) in euler form given as \(0.766e^{54.2j\)
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
z₁ / z₂ = (4 - j) / (2 + 5j)
= [ (4 - j) / (2 + 5j)] * [ (2 - 5j) / (2 - 5j)] = 0.448 + 0.62j = 0.766∠54.2°
The value of z₁ / z₂ = (4 - j) / (2 + 5j) in euler form given as \(0.766e^{54.2j\)
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given that F(x)=3x^2+10 what is the value of f(-2)?
In one week there were three rainy days and four sunny days. If a day is selected at random, what is the probability it was a sunny day? Round the answer to the nearest hundredth.
Answer:
0.57
Step-by-step explanation:
3:4
4/7 =0.57
Consider the equation: f (x) = 4/x-3+2. Please explain where the vertical asymptote would be algebraically and graphically. Why are asymptotes important when explaining the graph of a rational function? What are the horizontal and vertical shifts from this function compared to the parent function, and how do you know?
A polynomial is considered rational if it can be written as a polynomial divided by a polynomial.
What is meant by rational function?Any function that can be expressed as a rational fraction in mathematics—an algebraic fraction in which the numerator and denominator are both polynomials—is referred to as a rational function.
Here,
Given :f (x) = 4/x-3+2.
=> vertical asymptotes :
=> 4/x
and
horizontal asymptotes :
=> -1
The rational function is (x/y)where y≠ 0
So,
x≠0.
can be a rational function for them.
Oblique, vertical, and horizontal asymptotes are the three forms of asymptotes that make up the different types of rational functions. The maximum number of horizontal or oblique asymptotes for a rational function is one, although there can be multiple vertical asymptotes.
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Zales sells diamonds for $1,100 that cost $800. What is Zales’s percent markup on selling price? Check the selling price.
Zales's percent markup on the selling price as required in the task content is; 37.5%.
Percentages and markup priceIt follows from the task content that the percent markup on the selling price be determined according to the given data.
Since the cost of diamonds is; $800 while the diamonds sell for $1,100. It follows that the markup on the selling price of the diamonds is;
Markup = Selling price - Cost price.
Hence, we have;
Markup = 1,100 - 800.
Therefore, the markup is; $300.
On this note, the percent markup can be determined as follows;
= (300/800) × 100%.
= 37.5%.
Ultimately, the percent markup on the diamonds is: 37.5%.
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Which expression is equivalent to 3(2t + 6) – 4t?
A. 8t
B. 20t
C. 2t +6
D. 2t +18
HELP PLS
Answer:
b part 20 t or i think c part 2t +6
-13=m-7 please help!
Answer:
20
Step-by-step explanation:
Answer:
m= -20
Step-by-step explanation:
-20--7=-13
hope this helps!!!
-6/11 × (x/y) = -1/11what is the missing fraction
The missing fraction would be the result of divide -1/11 by -6/11
\(\frac{-1}{11}\colon\frac{-6}{11}=\frac{-11}{-66}=\frac{1}{6}\)Complete the following table given this information: (Do not round intermediate calculations.) Cost of machine $ 94,000 Residual value $ 4,000 Useful life 5 years Estimated units machine will produce 100,000 Actual production: Year 1 60,000
Year 2 15,000 Use MACRS table.
Straight line method?
Units of production?
Declining balance?
MACRS (5-year class)
The completion of the following table under different depreciation methods is as follows:
Depreciation Expense:Method Year 1 Year 2
Straight line $18,000 $18,000
Units of production $54,000 $13,500
Declining balance $37,600 $22,560
MACRS (5-year class) $18,800 $30,080
Data and Calculations:Cost of machine = $94,000
Residual value = $4,000
Depreciable value = $90,000 ($94,000 - $4,000)
Estimated useful life = 5 years
Depreciation expense:
Straight-line method = $18,000 ($90,000/5)
Estimated units of produciton = 100,000
Unit depreciation rate = $0.90
Actual production Depreciation
Year 1 = 60,000 $54,000 ($0.90 x 60,000)
Year 2 = 15,000 $13,500 ($0.90 x 15,000)
Declining Balance:
Year 1 = $37,600 ($94,000 x 40%)
Year 2 = $22,560 ($94,000 - $37,600) x 40%
MACRS:
Year 1 = $18,800 ($94,000 x 20%)
Year 2 = $30,080 ($94,000 x 32%)
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A certain type of kickboard scooter comes in silver, red, 2
or purple with wheel sizes of 125 millimeters or 180
millimeters. Determine the total number of color-wheel size combinations.
(This is probability and I’m having such a hell of a time figuring it out pls help)
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.
Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:
Total combinations = Number of color options × Number of wheel size options
Total combinations = 4 colors × 2 wheel sizes
Total combinations = 8
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
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The probability that a freshman entering a university will graduate after a 4-year period is 0.64. If 8 freshmen are selected at random, find the probability that at least 3 of them will graduate after a 4-year period
Answer:
This is a binomial probability problem with n=8, p=0.64, and we want to find the probability of at least 3 successes (graduating) out of 8 trials (freshmen).
One way to solve this is to use the complement rule: the probability of at least 3 successes is equal to 1 minus the probability of 0, 1, or 2 successes.
P(at least 3 successes) = 1 - P(0 or 1 or 2 successes)
Using the binomial probability formula, we can calculate the probability of each of the three cases:
P(0 successes) = C(8, 0) * 0.64^0 * (1-0.64)^8 = 0.0002
P(1 success) = C(8, 1) * 0.64^1 * (1-0.64)^7 = 0.0037
P(2 successes) = C(8, 2) * 0.64^2 * (1-0.64)^6 = 0.0286
Therefore,
P(at least 3 successes) = 1 - (0.0002 + 0.0037 + 0.0286) = 0.9675
So the probability that at least 3 out of 8 freshmen will graduate after a 4-year period is approximately 0.9675 or 96.75%.
Decide whether the data in the table represent a linear function or an exponential function explain how you know
I am giving out 45 points to whoever answers
Answer: B
Step-by-step explanation:
The data in the table represents a linear function
What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.
b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.
Given;
y= 16 8 0 -8 -16
x= 1 2 3 4 5
Here, all the so components in x are multiple of 8
Therefore, data shown will be a linear function.
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8r/9 - 15 when r = 27
Answer:
9
Step-by-step explanation:
8x27/9-15
8x27= 216
216/9-15
216/9= 24
24-15=9
=9
Answer:
Your answer is nine
9
Solve xy - 3 = k solve for x
Answer:
x=(k+3)/y
Step-by-step explanation
First, we simplify by adding 3 to both sides of the equation
xy-3+3=k+3
Now it's xy=k+3
To get x we divide both sides by y
So x=(k+3)/y
Answer:
\(x = \frac{k + 3}{y} \)
Step-by-step explanation:
Do all u can to make x stand alone.
Just obey the rules of fhe operations when they cross the equal sign.
MODELING REAL LIFE The diagram shows the prices of two
types of ground-cover plants. A gardener can afford to buy 125
vinca plants and 60 phlox plants.
$1.20/plant Vinca $2.50/plant Phlox
a. Write an equation in standard form that models the possible
combinations of x vinca plants and y phlox plants the gardener
can afford to buy.
An equation that models the possible combinations is:
___ = 300.
Please help!
a.
A gardener can afford to buy 125 vinca plants and 60 phlox plants. $1.20/plant Vinca $2.50/plant Phlox.
The equation in standard form that models the possible combinations of x vinca plants and y phlox plants the gardener can afford to buy is
⇒ $1.20*x + $2.50*y
b.
An equation that models the possible combinations is
⇒ $1.20*125 + $2.50*60 = 300
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If you had 2 angles that equal 180 degrees and you was given a angle of
117. What degree is the missing angle? *
Answer:
angle=63°
I hope it's helps you
About 70,000 people live in a 6-mile radius of a city's town hall. Find the population density in people per square mile. Round your answer to the nearest whole number.
The population density is about _
people per square mile.
Answer:
The population density is 618.93 per square mile.
Step-by-step explanation:
It is given that,
No. of people, N = 70,000
The radius of a city's town hall, r = 6 miles
We need to find the population density. It can be calculated by the formula i.e. number of people divided by area of land such that,
\(P=\dfrac{N}{A}\\\\P=\dfrac{N}{\pi r^2}\\\\P=\dfrac{70000}{\pi (6)^2}\\\\P=618.93\ \text{per square mile}\)
So, the population density is 618.93 per square mile.
PLEASE SOMEONE HELP QUICK I WILL GIVE BRAINLIEST
Answer:
134 deg
Step-by-step explanation:
x + 46 = 180
v + 46 = 180
Solve
6000 dollars is invested in a bank account at an interest rate of 6 per cent per year, compounded continuously. Meanwhile, 16000 dollars is invested in a bank account at an interest rate of 5 percent compounded annually. To the nearest year, when will the two accounts have the same balance?
9514 1404 393
Answer:
87 years
Step-by-step explanation:
The balance (A) in the continuously compounded account will be ...
A = P·e^(rt)
A = 6000·e^(0.06t)
__
The balance (A) in the annually compounded account will be ...
A = P(1 +r)^t
A = 16000(1 +0.05)^t
These balances are equal when ...
6000·e^(0.06t) = 16000(1.05^t)
We can divide by 6000 to simplify this a little bit.
e^(0.06t) = 8/3(1.05^t)
Taking the natural logarithm gives ...
0.06t = ln(8/3) +t·ln(1.05)
t(0.06 -ln(1.05)) = ln(8/3) . . . . subtract t·ln(1.05) and factor)
t = ln(8/3)/(0.06 -ln(1.05)) ≈ 0.980829/0.0112098 ≈ 87.497
Rounded to the nearest year, the balances will be the same after 87 years.
_____
The balances will be about 1.14 million dollars.
Divide. Express your answer in simplest form. ○14 ○ 49 ○98 ○28
Answer: 49
see below for work
Answer:
gang gang
Step-by-step explanation:
Look at the following set of four whole numbers. 4 9 10 12 Find another set of four whole numbers so that: the range has increased by 2, • the mean remains the same, • the median has decreased by 1. ● You may use some of the numbers from the orignal set, but not exactly the same four numbers. My four numbers are
The required set of numbers 5, 9, 11, and 14 satisfies all the given conditions.
What is Set?In mathematics, a set is a logically arranged group of items that can be represented in either set-builder or roster form. Sets are typically denoted by curly brackets; for instance, A = 1, 2, 3, 4 is a set.
According to question:a set of four whole numbers that satisfies the given conditions:
5, 9, 11, 14
To check that this set meets the requirements:
The range of the original set (12 - 4 = 8) increased by 2 to become 10 (14 - 4 = 10).
The mean of the original set ((4 + 9 + 10 + 12) / 4 = 8.75) remains the same in the new set ((5 + 9 + 11 + 14) / 4 = 8.75).
The median of the original set is 9.5 (the average of 9 and 10), and the median of the new set is 10 - 1 = 9.
Therefore, the set of numbers 5, 9, 11, and 14 satisfies all the given conditions.
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A positive angle less than 360 degrees that is coterminal with -5 degrees is
Answer:
\(\theta = 355\)
Step-by-step explanation:
Given
Let the angle be \(\theta\)
\(\theta < 360\)
\(\theta\) is co-terminal with -5
Required
Find \(\theta\)
Start by dividing 5 by 360 (ignore the negative)
\(\frac{5}{360} = 0.0138\)
The nearest integer greater than 0.0138 is 1.
This implies that if you were to draw for this problem, the circle you would draw to show -5 degrees would go around 1 time
So, \(\theta\) is calculated as:
\(\theta = -5 + 1*360\)
\(\theta = -5 +360\)
\(\theta = 355\)
If two angles are complementary then the sum of their measures is _______.
(Answer with a number ONLY)
If the two angles are complementary, then their sum is 90 degrees.
The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
If the two angles are complementary, then their sum is 90 degrees.
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The length of a side of an equilateral triangle is 10 cm. Find the height of the triangle
Answer:
h = 5√3
Step-by-step explanation:
h = (√3/2)a
h = 10
h = (√3/2)10
h = 5√3
How is multiplying 3/9 and 6/9 different from adding the two fractions
By multiplying the two fractions we get 2 / 9, and by adding we get 1.
In arithmetic, a product is the result of multiplication or an expression that identifies elements to be improved.
In math, multiply the method to add equal corporations. Whilst we multiply, the range of factors in the institution will increase. the two factors and the product are parts of a multiplication problem. Within the multiplication trouble, 6 × 9 = 54, the numbers 6 and 9 are the factors, at the same time as the range 54 is the product.
Multiplication is defined as calculating the end result of repeated additions of two numbers. An instance of multiplication is 4 instances 2 equals 8.
By multiplying the two fractions,
= 3 / 9 * 6 / 9
= 2 / 9
By adding the two fractions,
= 3 / 9 + 6 / 9
= 9 / 9
= 1
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Please please please help
9514 1404 393
Answer:
a) max height: 210.25 feet
b) time: 7 seconds
Step-by-step explanation:
Since this is about graphing quadratics, it seems appropriate to use a graph produced by a graphing calculator. It shows ...
maximum height: 210.25 feet
time to hit the ground: 7 seconds
X=Y+Y xy So, x=X-Y/Yy True False
The statement X = Y + Yxy is True.
The equation given is:
X = Y + Yxy
To find x = (X- Y) / Yy we have to substitute the value of x in X = Y + Yxy as
X = Y + Yxy
X = Y + Yy (X-Y) / Yy
To solve for x, we can rearrange the equation as:
X = Y + X - Y
X = X
Thus, the statement is True.
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contracts for two construction jobs are randomly assigned to one or more of three firms, a, b, and c. the joint distribution of y1, the number of contracts awarded to firm a, and y2, the number of contracts awarded to firm b, is given by the entries in the following table. y1 y2 0 1 2 0 1 9 2 9 1 9 1 2 9 2 9 0 2 1 9 0 0 find cov(y1, y2). (round your answer to three decimal places.) cov(y1, y2)
The value of covariance cov(y1, y2) is -0.222
y1
y2 0 1 2 Total
0 1/9 2/9 1/9 4/9
1 2/9 2/9 0 4/9
2 1/9 0 0 1/9
Total 4/9 4/9 1/9 1
marginal distribution of y2:
y2 P(y2) y2P(y2) y2^2P(y2)
0 4/9 0.0000 0.0000
1 4/9 0.4444 0.4444
2 1/9 0.2222 0.4444
total 1 0.66667 0.88889
E(y2) = 0.6667
E(y2^2) = 0.8889
Var(y2) = E(y2^2)-(E(y2))^2=0.4444
marginal distribution of y1
y1 P(y1) y1P(y1) y1^2P(y1)
0 4/9 0.0000 0.0000
1 4/9 0.4444 0.4444
2 1/9 0.2222 0.4444
total 1.00 0.6667 0.8889
E(y1) = 0.6667
E(y1^2) = 0.8889
Var(y1)= σy = E(y1^2)-(E(y1))^2 = 0.4444
E(XY) =∑xyP(x,y)=0.2222
Cov(y1,y2) = -0.222
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A school's principal wanted to give a special 'Good Luck' pencil for each student in the fifth grade. If there are 105 kids in the fifth grade, and there are 12 pencils in each box, how many boxes will he need to buy?
Answer:
9
Step-by-step explanation:
He would need to by 9 boxes. There might be some left over pencils.
Does "greater than" sign and "not equal to" sign denote the same thing?
Hello!
The "greater than sign" means one number is greater than the other.
Example: 4>2 (4 is greater than 2)
The "not equal to sign" means one number is not equal to another one.
Example: 15\(\neq\)17 (15 is not equal to 17)
Hope this helps!
~Just a determined gal
#CarryOnLearning
\(MysteriousNature\)
no they dont
greater than sign denotes that the first digit is greater than the other digit
what is the answer to 3(x + 3) - 2(x + 6
Answer:
-3 + x or x -3
Step-by-step explanation:
Start with the brackets one by one
3(x + 3) Multiply the 3 outside the bracket to everything inside
3 × x = 3x
3 x 3 = 9
3x + 9 -2(x + 6)
-2(x + 6) = -2x - 12
3x + 9 -2x - 12 = x -3