help needed......
step by step solution required
the correct answer will get brainliest and 30 points
Answers
Answer:
I hope this helps-How to define a logarithmic unction-
Step-by-step explanation:
Therefore, the (multiple-valued) logarithmic function of a nonzero complex variable z=reiΘ is defined by the formula logz=lnr+i(Θ+2nπ)(n∈Z).
Some basic properties of the function logz are the following:
log(z1z2)=logz1+logz2.
log(z1z2)=logz1−logz2.
There may hold Log(z1z2)≠Logz1+Logz2.
Related Questions
The empire state building in new york city is about 1,450 feet high (including the antenna at the top) and 400 feet wide. Andre wants to make a scale drawing of the front view of the empire state building on an 8 1/2 inch by 11 inch piece of paper. select a scale that you think is the most appropriate for the scale drawing.
A. 1 inch to 1 foot
B. 1 inch to 100 feet
C. 1 inch to 1 mile
D. 1 centimeter to 1 meter
E. 1 centimeter to 50 meters
F. 1 centimeter to 1 kilometer
Answers
The scale factor that is most appropriate for the scale drawing is 1 centimeter to 50 meters. (Correct choice: E)
What scale factor is the most appropriate to make an scale drawing of the Emipre State Building?
Scale factor are useful resources to make representations of huge and diminute representations of entire systems based on the application of length ratios defined below:
d / d' = r (1)
Where:
r - Length ratio, in feet per inchd - Real length, in feetd' - Scale length, in inchesNow we find the minimum reduction scale to fit the building in the paper.
Width
r' = 400 ft / 8.5 in
r' = 47.058 ft / in
Height
r' = 1,450 ft / 11 in
r' = 131.819 ft / in
The minimum reduction scale to fit the building in the paper is 131.819 ft / in (approx. 15.818 m / cm, that is 1 centimeter to 15.818 meters), that is, 1 centimeter to 131.819 feet. Then, the scale factor that is most appropriate for the scale drawing is 1 centimeter to 50 meters.
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When Alana was born, her grandma put $1000 into a money market account that earns 9% interest each year. How much will be in the account when Alana is 21?
Answers
The amount that would be in the account when Alana is 21 is $2890
How to determine the valueWe have to know the formula for simple interest.
This is expressed as;
S.I = PRT/100
Given that the parameters of the formula are enumerated as;
SI is the simple interestP is the principal amountR is the interest rateT is the time takenFrom the information given, substitute the values, we have;
SI = 1000 × 9 × 21/100
Multiply the values,
Then, divide by the denominator, we have;
SI = $1890
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if x-y = 8 and xy=5 , find x^2 + y^2
Answers
Answer:
x² + y² = 74
Step-by-step explanation:
given
(x - y) = 8 ( square both sides )
(x - y)² = 8² ← expand left side using FOIL
x² - 2xy + y² = 64 ← substitute xy = 5
x² - 2(5) + y² = 64
x² - 10 + y² = 64 ( add 10 to both sides )
x² + y² = 74
Is this correct? Please answer
Answers
Answer:
Yes it is correct (need more letters)
Answer:
yes it is correct needs more letters
{ (-2, 4), (0, 2), (-1, 3), (4, -2)}
The set of ordered pairs above:
DONE
Domain
-3
4
-1
5
Range
3
7
-2
The mapping diagram above:
DONE
y=x²
DONE
x
-3
-1
y
5
2
-1
The table above:
DONE ✔
Answers
The set of ordered pairs above: is a function.
The mapping diagram above: is a function.
y = x²: is a function.
The table above: is not a function.
What is a function?In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).
In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).
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A water tank leaked 14 gallons of water over eight hours at a constant rate what was the change in the amount of water in gallons in a tank each hour
Answers
Answer: the answer would be 1.75 gallons/hour
Step-by-step explanation: if you take the 14 gallons divided by the eight hours, you get 1.75
Answer:
7/4 gallons per hour
Step-by-step explanation:
We have to divide the amount of water lost by the lapse of time. So we get
14/8= 7/4
the 7th-grade class wants to collect empty soda pop cans to earn $50.00. If pop cans earn $0.25 per pound how many cans will they need to collect to earn the $50.00?
Answers
200 pounds need to collect to earn the $50.00. Divide the cost per pound from the total amount needed, \(\frac{50.00}{0.25}\)= 200 pounds.
Is the British pound?The official money of the U.k. and its regions is the GBP, or British pound sterling. The Pound is the earliest currency that is still accepted as legal tender in the entire world. The GBP, represented by pound sign (£), has one of the greatest trade volumes worldwide.
What makes something a "pound"?The development of the pounds sterling -The Latin word "libra," which means balance and weight, is where the name "pound sterling" comes from. During the years, the pound banknotes underwent various revisions before being initially printed by the Bank of England and over 300 years ago.
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Write the expressions for (s + r)(x) and (s - r)(x) and evaluate (sr)(3) .Suppose that the functions r and s are defined for all real numbers x as follows r(x) = x + 1 s(x) = 3x - 3
Answers
ANSWER:
\(\begin{gathered} (s+r)(x)=4x-2 \\ (s-r)(x)=2x-4 \\ (s\cdot r)(3)=24 \end{gathered}\)STEP-BY-STEP EXPLANATION:
We have the following functions:
\(\begin{gathered} r\left(x\right)=x+1 \\ s\left(x\right)=3x-3 \end{gathered}\)We calculate each operation, just like this:
\(\begin{gathered} (s+r)(x)=3x-3+x+1=4x-2 \\ (s-r)(x)=3x-3-x-1=2x-4 \\ (s\cdot r)(3)=(3x-3)(x+1)=(3\cdot3-3)(3+1)=(9-3)(4)=(6)(4)=24 \end{gathered}\)Please help me answer the question, answer problem 1 and 2
Answers
please see the attached picture for full solution
Hope it helps...
Good luck on your assignment,
find the quadratic polynomial, the sum of whose zeroes is 8 and their product is 12. hence, find the zeroes of the polynomial.
Answers
The required quadratic polynomial is \(x^{2} - 8x + 12 =0\) and roots of this quadratic polynomial are 2 and 6.
Let the roots of the quadratic equation be \(\alpha\) and \(\beta\) .
Given,
Sum of zeroes, \(\alpha +\beta = 8\)
Product of Zeroes, \(\alpha *\beta = 12\)
we know that,
Quadratic Equation can be written as :
\(x^{2} - (\alpha + \beta )x + \alpha \beta =0\)
Substituting the values in the above Equation,
\(x^{2} - (8)x + (12) =0\)
\(x^{2} - 8x + 12 =0\)
Hence, The required quadratic equation is \(x^{2} - 8x + 12 =0\) .
Now, let's factorize the equation to find its root:
\(x^{2} - 8x + 12 =0\)
\(x^{2} - 6x -2x+ 12 =0\)
\(x(x-6) -2(x-6)=0\)
\((x-6)(x-2)=0\)
⇒ \(x= 2,6\)
Therefore roots of the quadratic equation \(\alpha ,\beta\) are \(2,6\) .
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The figure above shows a store's supply-demand graph for coffee makers. If the store sells $600 worth of coffee makers, which of the following is a valid possible price for them?
A. $15
B. $30
C. $40
D. $55
Answers
The possible price for the items if the store sells $600 is (c) $40
How to determine the possible price for the items?From the question, we have the following parameters that can be used in our computation:
The supply-demand graph
If the store sells $600, then there is a supply worth of $600
The equation of the supply line is calculated as
y = mx + c
Where
c = y = 0
i.e. c = 100
So, we have
y = mx + 100
Using another point on the graph, we have
30m + 10 = 400
So, we have
m = 13
This means that
y = 13x + 100
For a supply of 600, we have
13x + 100 = 600
So, we have
13x = 500
Divide by 13
x = 38.4
Approximate
x = 40
Hence, the possible price for the items is (c) $40
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1.1.3. How many litres of milk does Lihle need to make 120 cupcakes? (2)
Answers
Lihle would need 30 liters of milk to make 120 cupcakes.
To determine the amount of milk Lihle needs to make 120 cupcakes, we can calculate the total milk requirement by multiplying the milk quantity per cupcake by the number of cupcakes.
Given that the recipe requires 250 milliliters (ml) of milk per cupcake, we can proceed with the calculation:
Convert milliliters to liters:
Since there are 1,000 milliliters in a liter, we divide 250 ml by 1,000 to get the milk quantity per cupcake in liters, which is 0.25 liters.
Multiply the milk quantity per cupcake by the total number of cupcakes: Multiply 0.25 liters (milk per cupcake) by 120 cupcakes.
0.25 liters/cupcake \(\times\) 120 cupcakes = 30 liters.
Therefore, Lihle would need 30 liters of milk to make 120 cupcakes in a US curriculum class.
It's important to note that this calculation assumes the given milk requirement of 250 milliliters per cupcake and does not consider any other ingredients or variations in the recipe.
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The complete question may be like: Assuming that the recipe requires 250 milliliters (ml) of milk per cupcake, how many liters of milk does Lihle need to make 120 cupcakes in a US curriculum class?
13.A rectangle and a square have the same perimeter 120 cm. Find the side of the square. If the rectangle has a breadth 5cm less than that of the square. Find the breadth, length and area of the rectangle.
Answers
Answer:
Step-by-step explanation:
Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.
I ABSOLUTELY NEED HELP BY TOMORROW!!! I AM GIVING 100 POINTS
Answers
3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
How to Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:
3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup
Since there are 1 cup in each term, we can rewrite it as:
3 cups + (1/2) cup
Now, we can express each term as a multiplication expression:
3 cups = 3 * 1 cup = 3
(1/2) cup = (1/2) * 1 cup = 1/2
Putting it all together, the multiplication expression is:
3 * 1 cup + (1/2) * 1 cup = 3 + 1/2
Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
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At 8% sales tax, the total price of a color TV whose marked price is $425 is
A)$451
B)$459
C)$465.25
D)$425.75
Answers
Answer:
B 459
Step-by-step explanation:
After adding the sales tax of 8% to the marked price of the TV, the price of the TV will be equal to $459. Hence, option B is correct.
What is the Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages.
In other terms, it is a relationship where the worth of the entire is always considered to be 100.
As per the given data in the question,
Sales tax on TV = 8%
Marked price of TV = $425
The total price of the TV, T = Tax + Marked Price
T = 8% × $425 + $425
T = $34 + $425
T = $459
Hence, the total price is $459.
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Michelle wants to create a triangular flower bed and border it with scraps of picketfence that she has left over from another project. One scrap is 2 feet 2 inches long, a
second scrap is 4 feet 3 inches long and the third scrap is Sfeet inches long. If she uses these three pieces of fencing as the border, what kind of triangle will for the shape
of her flower bed?
Not a triangle
Right triangle
Acute triangle
Obtuse triangle
Answers
Answer:
The answer would be an obtuse triangle.
Step-by-step explanation:
The scraps of material would make more of a lopsided shape, and if you draw it out as i have, an obtuse triangle will form.
4/5mm what are the perimeter and the area of the square
Answers
length+ breadth and 2×side
Step-by-step explanation:
4÷2 =2
5×2=10
10+2=12
12 ans
please help I will give brainiest
Answers
The value of x is equal to 8.
What are similar figures?Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.
In the similar triangles, TRS similar to DBC
TS/ SR = DC/ CB
70 / (11x - 4) = 50 / 60
Using cross products
70 (60) = 50 (11x - 4)
Distribute
4200 = 550x - 200
550x = 4200 + 200
550x = 4400
x = 8
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the wheel of a bike has a diameter of 27 inches. find the circumference of the wheel.
Answers
The circumference of the wheel of the bike given the diameter is 84.78 inches
What is the circumference of the wheel?As evident from the task content; it is required that the circumference of the bike's wheel be determined.
Given that the Diameter of the wheel = 27 inches
Recall; Radius = diameter / 2
= 27/2
= 13.5 inches
π = 3.14
Since the formula for the Circumference of the wheel which is circular = 2πr
= 2 × 3.14 × 13.5
= 84.78 inches
In conclusion, the circumference of the wheel according to the given description is 84.78 inches.
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The function f is defined by f(x)= - 1/2x^2
Write down the expression for h(x).
Answers
Answer: -1/2 (x-4)^2 + 3
Step-by-step explanation:
Since the graphs both have the same stretch of -1/2x^2, you just need to see how much they were shifted up, down, left, or right. h(x) is shifted up 3 and right 4 of f(x) so h(x) = -1/2 (x-4)^2 + 3
Answer:
\(h(x)=-\dfrac12(x-4)^2+3\)
Step-by-step explanation:
Given:
\(f(x)= - \dfrac12x^2\)
From inspection of the graph, \(f(x)\) has been translated 4 units to the right and 3 units up.
Therefore, \(h(x)=f(x-4)+3\)
\(\implies h(x)=-\dfrac12(x-4)^2+3\)
The enrollment at Alpha-Beta School District has been declining 4% each year from 1994 to 2000. If the enrollment in 1994 was 1575, find the 2000 enrollment.
Answers
Answer:
the 2000 enrollment is 1,512
Step-by-step explanation:
The computation of the 2000 enrollment is as follows;
Since the enrollment is fall by 4% each year from 1994 to 2000 so the 2000 enrollment would be
= 1994 enrollment × (1 - 0.04)
= 1,575 × 0.96
= 1,512
Hence, the 2000 enrollment is 1,512
Write an equation for the description.
Tanmayi wants to raise $150 for a school fundraiser. She has raised $100 so far. How much more (bes she
need to reach her goal? Let m be how much more is needed.
Answers
Answer:
answer
Step-by-step explanation:
step by step explanation
Sienna paid $540 simple interest on a two-year loan. She borrowed
$6000. What was the interest rate? State your answer as a percentage.
O 4.5%
O 0.045%
O 13.33%
O 3.24%
None of these are correct
Answers
The calculated value of the interest rate for the two-year loan is 4.5%
What is the interest rate?The interest rate represents the cost of borrowing. Interest is the amount that the borrower pays to the lender for use of their funds.
The interest rate determines the interest that would be paid.
Simple interest is a linear function of the amount borrowed, interest rate and the duration of the loan.
In this case, the Interest rate is calculated as
Interest rate = simple interest / (amount borrowed x duration of the loan)
By substitution, we have
Interest rate = 540 / (6000 x 2)
Evaluate
Interest rate = 0.045
Express as percentage
Interest rate = 4.5%
Hence, the interest rate is 4.5%
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Which model represents the equation 4w+3=3w+6
Answers
Answer:
w=3 (please give me brianliestt!!)
Step-by-step explanation:
4w+3=3w+6 (subtract 3 from both sides)
-3 -3
4w=3w+3 (subtract 3w on both sides)
-3w -3w
1w=3 (divide by 1)
w=3
The quotient of a number and-3 is 13. What is the equation and number?
Answers
Answer:
-39
Step-by-step explanation:
you do-3 times 13 and you get -39. -39/-3 is 13
A division is a process of splitting a specific amount into equal parts. The quotient of a number and-3 is 13, then the number is -39.
What is Division?A division is a process of splitting a specific amount into equal parts.
Division has different parts like, divisor, dividend, remainder and Quotient.
The quotient is the answer of division.
The number we obtain when we divide one number by another is the quotient.
Let the number be x.
So x/-3=13
Use cross multiplication
x=-39
Hence x/-3=13 is the equation and number is -39.
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Solve for x in the equation. The equation is added as an image below.
Answers
Answer:
x = 10
Step-by-step explanation:
You want the value of x that satisfies x -(x-1)/3 -(2x-5)/5 +(x+8)/6 = 7.
SolutionThe least common denominator is 5·6 = 30, so we can eliminate the fractions by multiplying by 30:
30x -10(x -1) -6(2x -5) +5(x +8) = 7·30
30x -10x +10 -12x +30 +5x +40 = 210 . . . . . eliminate parentheses
13x +80 = 210 . . . . . . . . . collect terms
13x = 130 . . . . . . . . . . subtract 80
x = 10 . . . . . . . . . . divide by 13
__
Additional comment
Often an equation can be nicely solved by a graphing calculator. We like to write the equation in the form f(x) = 0, and look for the x-intercepts. Those are usually labeled by the calculator. Here that rewrite is accomplished by subtracting 7 from both sides.
What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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Select the correct answer.
Estimate the solution to the following system of equations by graphing.
3x+ 5y = 14
6x – 4y = 9
Answers
Answer:
A.
General Formulas and Concepts:
Math
Fraction conversions to decimalAlgebra I
Reading a Cartesian planeCoordinates (x, y)Step-by-step explanation:
Where the 2 lines intersect is the solution to the systems of equations.
5/2 would be 2.5 and 4/3 would be approximately 1.333.
Our (x, y) for the graph is (2.405, 1.357), so our answer would be A.
The area of a circle is 127 square units. What would the circumference of the circle be?
Answers
Answer:
Area of the circle = π×r²
127 = 3.14 × r²
=> 127/3.14 = r²
=> 40.44 = r²
=> √40.44 = r
=> r = 6.35
Circumference of the circle = 2πr
= 2×22/7×6.35
=279.4/7
= 39.91
= 40 units
The water level is a number that indicates whether the level is above or below normal using positive or negative values. After a heavy storm, the water level of a river is −3.7 feet. This level is 1/2 times 2.5 feet more than the previous water level.
What was the previous water level?
A. -18.5
B. -9.9
C. -4.9
D. -4.3
Note: I think it is -4.9. If you have the actual right answer please leave it down below. Thanks.
Answers
Answer:
I also believe it is -4.9 but I may be mistaken
Step-by-step explanation: