Answer:
I know the answer
Step-by-step explanation:
go solve it by yourself, be independent
FlipFlops manufactures
revenue functions are:
E = -300p + 32000 and R = -275 P² + 6,500p.
a. Determine the profit function.
b. Determine the price, to the nearest cent, that yields the
maximum profit.
C. Determine the maximum profit, to the nearest cent.
beach sandals.
Let P(x) represent the profit function. Let R(x) represent the revenue function. Let C(x) represent the cost function. Then P(x) = R(x) - C(x).
How do you find the profit function from revenue and cost function?By deducting the cost function from the revenue function, the profit function can be calculated. Let the profit be denoted by P(x), the revenue by R(x), the cost by C(x), and x be the quantity of goods sold.
The profit function is therefore expressed as P(x) = R(x0 - C) (x). The function that depicts the profit produced by deducting the cost of revenue is known as a profit function.
The break even point of the profit function is at its x-intercept. It illustrates the point at which the sum of the costs incurred in creating a good and the sum of the proceeds from its sale are equal. A domain for the set exists in a profit function.
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number multiplied by 5, subtracted from the sum of 13 and six times the number
The solution to the algebraic word problem is; x + 13
How to solve algebra word problems?Algebraic word problems are defined as the questions that require translation of sentences to equations and then solving those equations.
Now, we are given the word problem as number multiplied by 5, subtracted from the sum of 13 and six times the number.
Let the unknown number be x and as such, we have;
number multiplied by 5 = 5x
sum of 13 and six times the number = 6x + 13
Thus, we have;
6x + 13 - 5x
= x + 13
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(Look at picture) ty btw :)!!!!! <3
When written as an exponential expression, the radical expression is represented by: 15 1/2
What is a radical equation example?When all of a radical expression's perfect squares, cubes, etc. are eliminated from the radical, the radical is in its simplest form.Radical: The sign used to represent the square root or nth root.Square-root-containing expressions are known as radical expressions.
Radicand: A number or statement contained within the radical symbol.
When written as an exponential expression, the radical expression is represented by: 15 1/2
The square root of a number is equal to the number increased to a power of 1/2 in accordance with the rule of indices.
On that point, the exponential expression given for the radical expression 15 can be represented as follows:
15^1/2.
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When Audrey runs the 400 meter dash, her finishing times are normally
distributed with a mean of 68 seconds and a standard deviation of 3 seconds.
Using the empirical rule, determine the interval of times that represents the
middle 68% of her finishing times in the
400 meter race.
Using the empirical method, the range of times that equates to the centre 68% of Audrey's 400 metre finishing times is between 67.5 and 68.5 seconds.
How does empirical rule work?The percentage all values that fall in just an interval containing 68%, 95%, and 99.7% of such values comes within one, two, or 3 different deviations of both the mean of a distribution, following the empirical rule, commonly known as the 68-95-99.7 rule.
The stated data:
Mean = 68Standard deviation = 3According to the Empirical Rule, 68% of data collected from observations of a normal distribution are within one standard deviation of its mean.
The range of times that corresponds to the centre 68% of his 400-meter finishing times is as follows:
= P(68 - 0.5 < x < 68+ 0.5)
= P(67.5 < x < 68.5)
Accordingly, the range of times that, according to the empirical rule, reflects the centre 68% of Audrey's 400 metre finishing times is the one from 67.5 to 68.5 seconds.
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can someone please explain how to do this? T-T
5y=5x-10 solve for y
Answer: y=x-2
Step-by-step explanation: Divide both sides by 5 to find y.
Answer:
y= x-2
Step-by-step explanation:
Divide 5y and 5x-10 by 5. That would be y=x-2 because 5y divided by 5 is just y. Then 5x-10 divided by 5 would just be x-2, so combined, it would be y=x-2.
Consider an arithmetic sequence which has the second term equal to 8 and the fifth term equal to 10. Determine the common difference of this sequence.
You do know that to get to the fifth term from the second term you had to add the common difference 3 times. (adding ones takes you to the 3d term, adding twice takes you to the 4th term, and adding 3 times takes you to the 5th term.
What is arithmetic sequence?An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k. This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k. Example: a1 = 25. a(n) = a(n-1) + 5.
nth term=a+(n-1)d
Where a is the first term and d is the common difference.
Now,
2nd term=a+(2–1)d=a+ d——————(1)
5th term=a+(5–1)d=a+4d—————-(2)
Now, we take (2)-(1):
5th term-2nd term=(a+4d)-(a+ d)
5th term-2nd term=3d
So:
d=(5th term-2nd term)/3
Now as all the terms are known we can find out the common difference
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I’ll give brainiest
Use the given information to find m∠A.
m∠D=121°
m∠A=(2x)°
m∠B=(x+40)°
On solving the provided question, we can say that , in the triangle x = 2x + x + 40 + 59 = 180 => x = 81/4
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here, in the triangle
m∠D=121°
m∠A=(2x)°
m∠B=(x+40)°
x = 2x + x + 40 + 59 = 180
4x = 81
x = 81/4
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Pls help I have to write statements and reasons
I'll go ahead and help you with what I can. :)
ADEG: Rectangle
What we know: all sides are 90 degree angles, opposite sides are parallel (two pairs of opposite parallel sides) by definition of a rectangle. This also means that AG is congruent/parallel to DE, and GE is congruent/parallel to AD.
Segment GE bisects (splits in half) both segments BC and AB (given).
The transitive property: GE bisects segment BC and AB, which means that the resulting two segments from AB, BG and GA, are congruent to each other. Not only this, but BE is congruent to EC. So, if we already know that BG is congruent to GA, and GA is congruent to DE, then, by transitive property of congruence, BG is congruent to DE.
So, one side (hypotenuse, longest side) done. BE is congruent to EC.
Next -- BG is congruent to DE, as we found. Two sides done.
Last but not least, you can see that BEG and DEC are vertical angles. Now you know that these angles are congruent.
Of course, by construction, you can extend AD from point D to the right and find that its exterior angle, EDC, is congruent to GAD by the corresponding angles theorem. You could also use construction again and extend AG by G upwards and find that BGE is congruent to GAD by, again, corresponding angles theorem.
What we know:
Angle BGE is congruent to EDC, both 90 degrees.
BEG and DEC are vertical angles, both congruent.
BG is congruent to DE.
BE is congruent to EC.
GBE is congruent to DEC by corresponding angles theorem.
So you can use ASA (angle B, side BG, and angle G) and (angle E, side ED and angle D) for the rest. Then make sure to use CPCTC (congruent parts of congruent triangles are congruent). :)
Good luck!
Pretend there was a plan 6 that the king of Montarek wanted to present to the peasant. This time, he
starts with 12 rubas on the first square, and he doubles that to 24 rubas on the second square. The third
square has 48 rubas, and the pattern continues to double up to 20 squares.
a. How many rubas will be on the 20th square?
b. Write an equation to represent plan 6.
Answer: 3145728
Step-by-step explanation: 6 times 2, 20 times is 3145728 the equation is 6 times 2x or 6(2x)
x representing the square the king is on
Problem 4.9 Given the following year-end account balances for Boston's Johnson Hotel, prepare: a an income statement for the period ending 30/6/20X1, b a balance sheet as at 30/6/20X1. Johnson Hotel Account Balances as at 30th June 20X1 Cash at bank Dividends paid Accounts receivable Closing inventory Depreciation expense Plant and machinery Accumulated depreciation Johnson Hotel Account Balances as at 30th June 20X1 Sales revenue Cost of sales Wage expense General operating expenses Accrued wages Accounts payable Unearned revenue Share capital Retained profits Debit 2,200 2,000 1,500 400 250 11,000 Debit 16,000 4,500 140 $37,990 Credit 1,020 Credit 26,500 100 2,200 200 4,800 3,170 $37,990
The preparation of an income statement and a balance sheet for the period ending June 30, 20X1 are as follows:
Johnson Hotel
Income StatementFor the period ending June 30, 20X1
Sales revenue $26,500
Cost of sales 16,000
Gross profit $10,500
Wage expense 4,500
General operating expenses 140
Depreciation expense 250 $4,890
Net income $5,610
Johnson Hotel
Balance SheetFor the period ending June 30, 20X1
Current Assets:Cash at bank $2,200
Accounts receivable 1,500
Closing inventory 400 $4,100
Long-term Assets:Plant and machinery 11,000
Accumulated depreciation (1,020) $9,980
Total assets $14,080
Liabilities and Equity:
Current Liabilities:Accrued wages $100
Accounts payable 2,200
Unearned revenue 200 $2,500
Equity:Share capital $4,800
Retained profits 6,780 $11,580
Total liabilities and equity $14,080
Income Statement and Balance Sheet:These two financial statements are prepared from the list of account balances (Trial Balance) at the end of the accounting period.
The income statement show the net income or loss, which is the difference between revenue and expenses.
The balance sheet summarizes the assets, liabilities, and equity of the entity at a point in time.
Johnson Hotel
Account Balances as at 30th June 20X1
Debit Credit
Cash at bank $2,200
Dividends paid 2,000
Accounts receivable 1,500
Closing inventory 400
Depreciation expense 250
Plant and machinery 11,000
Accumulated depreciation $1,020
Sales revenue 26,500
Cost of sales 16,000
Wage expense 4,500
General operating expenses 140
Accrued wages 100
Accounts payable 2,200
Unearned revenue 200
Share capital 4,800
Retained profits 3,170
$37,990 $37,990
Retained Earnings:Beginning balance $3,170
Net income 5,610
Dividends (2,000)
Ending balance $6,780
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Write the phrase "13 times the sum of 15 and x equals 11" as a variable expression:
Answer:
x=-184/13Step-by-step explanation:
13(x+15)=11(x+15)=11/13x=(11/13) - 15[tex]x = \frac{11 - 13(15)}{13} [/tex]
[tex]x = \frac{11 - 195}{13} [/tex]
[tex]x = \frac{ - 184}{13} [/tex]
In a company, 65% of the workers are women If 1,260 people work for the company who aren't women how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
Total there are 3600 people working in that company.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, in a company, 65% of the workers are women.
1,260 people work for the company who aren't women
So, here 35% of people work for the company who aren't women.
Let x be the total number of people.
Now, 35% of x=1260
35/100 ×x=1260
0.35x=1260
x=1260/0.35
x=3600
Therefore, total there are 3600 people working in that company.
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Ms. Junkin told her students that she was thinking of three different numbers between 1 and 9 that had a sum of 19. Find three possible numbers.
A 625.00 item is down by 92%
What is the cost of the item?
Factor the expression:
x²-x-12
(x + 4)(x - 3)
(x4) (x + 3)
K
L
(x-4)(x - 3)
M (x-6)(x + 2)
N (x+6)(x - 2)
J
The factorisation of x² - x -12 is (x-4)(x+3) and the factors are 4, -3.
What is factorisation ?A number or other mathematical object is factorized or factored when it is written as the product of numerous factors, often smaller or simpler things of the same sort. For instance, factorizing the number 15 as 3*5
A number is swiftly factorized into smaller numbers or factors of the number using the factorization formula. A factor is a number that evenly divides the inputted number.
The subsequent stages aid in the polynomial factoring process. The steps to factorizing a polynomial are listed below.
Check to see if the polynomial's terms have a common factor.Choose the best technique for factoring polynomials. You can determine the polynomial's components by regrouping or by using algebraic identities.Polynomial should be written as the sum of its components.The expression is x² - x -12
⇒ x² - x -12 = 0
⇒x² - 4x + 3x - 12 = 0
⇒x(x-4) + 3(x-4) = 0
⇒(x-4)(x+3) = 0
or, x-4 = 0 ⇒ x = 4 and,
x+3 = 0 ⇒ x= -3
The factorisation of x² - x -12 is (x-4)(x+3) and the factors are 4, -3
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Kadeem has $50,000 in an account that compounds interest sem-annually at a rate of 1.8%. He withdraws $5,000 semiannually from the account
Will his money last:
4.5 years (yes or no), 5 years (yes or no), 5.5 years (yes or no), 6 years (yes or no)
The time taken is 5.3 years.
What is Compound Interest?Compound interest simply refers to the fact that an investment, loan, or bank account's interest accrues exponentially over time as opposed to linearly over time. The word "compound" is crucial here.
Compound interest is when you receive interest on both your interest income and your savings.
Given:
P = 50, 000
W= 5000
r= 1.8%= 0.018
n= 2
Using, P = W (1- [tex](1+ r/n)^{-nt}[/tex]) / (r/n)
Putting all the values we get
P = W (1- [tex](1+ r/n)^{-nt}[/tex]) / (r/n)
50000 = 5000 (1- [tex](1+0.018/2)^{-2t}[/tex]) / (0.018/2)
10 = (1- [tex](1+0.009)^{-2t}[/tex]) / (0.009)
0.09 = 1 - [tex](1.009)^{-2t[/tex]
[tex](1.009)^{-2t[/tex] = 0.91
Taking log on both side
-2t log 1.009 = log 0.91
t= log 0.91/ (log 0.091) / (-20
t= 5.3
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give me the percent of the table
Here is the completed table:
Total relative frequency
Pets Men Women Total
Dogs 20% 30% 50%
Cats 13.8% 20.8% 34.6%
Birds 6.2% 9.2% 15.4%
Total 40% 60% 100%
What are the relative frequencies?
Percentage is the ratio of an amount out of a total amount. The sign that represents percentage is %. In order to convert a value to a percentage, multiply the value by 100.
Relative frequency measures how often a value appears relative to the sum of the total values.
Relative frequency of men that have dogs = (26/130) x 100 = 20%
Relative frequency of women that have dogs = (39/130) x 100 = 30%
Relative frequency of those that have dogs = 20% + 30% = 50%
Relative frequency of men that have cats = (18/130) x 100 = 13.8%
Relative frequency of women that have cats = (27/130) x 100 = 20.8%
Relative frequency of those that have cats = (45/130) x 100 = 34.6%
Relative frequency of men that have birds = (8/130) x 100 = 6.2%
Relative frequency of women that have birds = (12/130) x 100 = 9.2%
Relative frequency of those that have birds = 6.2% + 9.2% = 15.4%
Relative frequency of males = (52/130) x 100 = 40%
Relative frequency of females = (78/130) x 100 = 60%
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What is an equation of the line that passes through the points (-6, 3) and (-6, 6)?
An equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Since the line passes through the points (-6, 3) and (-6, 6), we can see that the x-coordinate is the same for both points. This means that the line is a vertical line, and has an undefined slope (division by zero).
The equation of a vertical line is x = constant, where the constant is the x-coordinate of the line. In this case, the constant is -6, so the equation of the line is:
x = -6
Sixteen socks are put into pairs. How many pairs are there?
8 pairs of socks are there.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Sixteen socks are put into pairs.
As, the pair consist two objects.
So, the number of pairs are
= 16/2
= 8 pair
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What is 219in in feet
Find the length of an arc that subtends a central angle of 12° in a circle of radius 24 mi. arc-length = mi
The length of the arc is equivalent to 5.024 miles.
What is the formula to calculate the arc length?The formula to calculate the arc length is -
L{arc} = (θ/360°) x 2πr
Given is that an arc that subtends a central angle of 12° in a circle of radius 24 miles.
We can write the length as -
L{arc} = (θ/360°) x 2πr
L{arc} = (12/360°) x 2 x 3.14 x 24
L{arc} = 1/30 x 2 x 3.14 x 24
L{arc} = 5.024 miles.
Therefore, the length of the arc is equivalent to 5.024 miles.
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Which is the y-intercept of the line represented by the equation?
x−2y=5
To find the y-intercept of a line represented by an equation in slope-intercept form (y = mx + b), we need to find the value of b. The y-intercept is the point where the line crosses the y-axis, which means that the x-coordinate is 0.
In this case the equation is not in slope-intercept form, but we can still find the y-intercept by isolating y on one side of the equation.
x - 2y = 5
Add 2y to both sides of the equation:
x = 2y + 5
Divide both sides of the equation by 2:
y = (x + 5) / 2
The y-intercept is the point (0, b) where b is the constant in the equation. In this case, the y-intercept is (0, 5/2)
So the y-intercept of the line represented by the equation x−2y=5 is (0,5/2)
Rewrite the equation in simplified slope-intercept form: 3x+y-27=14
The given equation is slope - intercept form, is y = -3x + 41.
What is slope - intercept form?
When the slope of the line being studied is known, and the given point is also the y intercept, the slope intercept formula, y = mx + b, is used (0, b). The y value of the y intercept point is represented by b in the equation.
Writing an equation for a line in the form y = mx + b is known as slope intercept form in mathematics. The m indicates the line's slope, and the b indicates the y-intercept.
Consider, the given equation 3x + y - 27 = 14
We have to write this equation is slope - intercept form of the line.
Let
3x + y - 27 = 14
Add 27 on both sides,
3x + y - 27 + 27 = 14 + 27
3x + y = 41
Subtract 3x from both sides,
3x + y - 3x = 41 - 3x
y = 41 - 3x
y = -3x + 41
Hence, the given equation is slope - intercept form, is y = -3x + 41.
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geometry dilation and translation
Dilation is the process of enlarging or contracting a figure. Dilations are transformations that result in an enlargement or a decrease.
What are dilation and translation?Dilations are transformations that result in an enlargement or a decrease. Congruence transformations called translations are movements of an object without altering its size or shape. Tracking the location of the object is often done using a coordinate plane.When we translate a figure, we move it in any direction. Flipping a figure over a line is what we mean by reflection. Rotation is the process of turning a figure a specific number of times around a point. Dilation is the process of enlarging or contracting a figure.To learn more about Dilation refer to:
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Use the Shell Method to find the volume of a solid obtained by rotating the region
about the -axis
Assume =3
and =2.
Answer:
V = 38π/3 cubic units
Step-by-step explanation:
The formula for the shell method is given by:
V = 2π ∫(y)(x)dx
where x and y are the equations of the upper and lower bounds of the region being rotated. In this case, we have:
y = x
x = 2
So, the volume is given by:
V = 2π ∫(x)(x)dx from x=2 to x=3
V = 2π (x^3/3) from x=2 to x=3
V = 2π ((3^3/3) - (2^3/3))
V = 2π (27/3 - 8/3)
V = 2π (19/3)
V = 38π/3 cubic units
Please help me I’m struggling with these-
Answer: 1 is that 10 is an exponent
Step-by-step explanation: 1 times anything is 1
Pedro has a wood stick that is 10 feet long. He needs to saw the stick into 13 equal length pieces how many feet long should each piece of wood stick be
You deposit $120 in an investment account that earns 6.4% annual interest compounded quarterly.
Write a function that represents the balance y (in dollars) of the investment account after t years.
A function that represents the balance y (in dollars) of the investment account after t years is [tex]y = 120^{1.064\times{t/4}[/tex].
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest is,
A = P(1 + r/100)ⁿ.
Where, A = amount, P = principle, r = rate, and n = time in years.
Given, You deposit $120 in an investment account that earns 6.4% annual interest compounded quarterly.
We know the formula for compound interest compounded quarterly is,
A = P(1 + (r/4)/100)⁴ⁿ.
The function can be represented as,
[tex]y = y_{0}^{1.064\times4t[/tex], As the decimal value of 6.5% is 0.064 and compounded quarterly.
[tex]y = 120^{1.064\times{t/4}[/tex].
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Find the value of Y pls helppp
The value of y, found using the vertical angles theorem is 101°
What are vertical angles?Vertical angles are the angles formed on opposite sides of the point where two lines intersect.
The angles in the question are vertical angles.
The expression representing the angles are;
(y - 212)°
(-y - 10)°
The vertical angles theorem indicates that the vertical angles formed by two lines are congruent, therefore, according to the vertical angles theorem, we get;
The angle with measure (y - 212)° is congruent to the angle with measure (-y - 10)°
The measure of two angles that are congruent are equal, therefore, by the definition of congruency, we get;
(y - 212)° = (-y - 10)° (definition of congruency)
y - 212 = -y - 10
y + y = 212 - 10 = 202
2·y = 202
y = 202 ÷ 2 = 101
The measure of angle y is 101°
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The value of y in the vertically opposite angle is 101.
How to find the angles ?When lines intersect each other, angles relationships are formed such as vertically opposite angles, linear angles etc.
Vertically opposite angles are angles that share the same vertex. In other words, vertical angles are angles that are opposite of each other when two lines cross.
Vertically opposite angles are congruent to each other.
Therefore,
y - 212 = - y - 10
y + y = -10 + 212
2y = 202
divide both sides by 2
2y / 2 = 202 / 2
y = 101
Therefore,
y = 101
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9x-12=3x
what does x equal?
x = 2
Step-by-step explanation:Like-terms are terms within an expression or equation with the same variable and degree (aka exponent). Like-terms can be combined through addition or subtraction.
Properties of Equality
To solve the equation above, we have to use properties of equality, which is often shortened to PoE. There are different types of PoE, but for this question, there is one part we need to understand. The properties of equality state, that you can do anything to the equation if you do it to both sides.
For example, we can add 3 to the left side as long as you also add 3 to the right side.
Solving For X
In any equation, to solve for a variable, you have to isolate it. The first step is combining like terms. 9x and 3x are like terms, so we should combine them on the same side of the equation.
Subtract 9x from both sides.
-12 = -6xThen, divide both sides by -6.
2 = xFor the given equation, x = 2.