Simplify the following expression.
6m-54 divided by 9-m
Answer:
− 6
Step-by-step explanation:
7. A company's yearly profit during its first 5 years of operation can be modeled by the equation
P = 225(1.13)* + 400, where x is the number of years since the company started and P is the
profit in dollars. Draw a graph to represent this situation. If this pattern continues, what would
the company's profit be in year 7?
What is the slope of the equation: x = -2
Answer:
undefined
Step-by-step explanation
it is a vertical line and has no defined slope
Find the approximate area under the graph of (x)=1/x^2f over the interval [2, 4] using four equal subintervals (n = 4) and the right endpoint method.Select one:a.) 0.3014b.) 0.2076c.) 0.4540d.) 0.3521
To approximate the area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method, we can use the following formula:
Approximate Area = Δx * [f(x1) + f(x2) + f(x3) + f(x4)]
where Δx is the width of each subinterval and xi represents the right endpoint of each subinterval.
In this case, the interval [2, 4] is divided into four equal subintervals, so Δx = (4 - 2) / 4 = 0.5.
Now, let's evaluate the function at the right endpoints of the subintervals:
f(2.5) = 1/(2.5)^2 = 0.16
f(3) = 1/(3)^2 = 0.1111
f(3.5) = 1/(3.5)^2 = 0.0816
f(4) = 1/(4)^2 = 0.0625
Substituting these values into the formula:
Approximate Area = 0.5 * [0.16 + 0.1111 + 0.0816 + 0.0625]
Approximate Area = 0.5 * 0.4152
Approximate Area = 0.2076
Therefore, the approximate area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method is approximately 0.2076.
learn more about graph here
https://brainly.com/question/10712002
#SPJ11
anouk and tessa are playing a game where a player flips a coin. if the coin lands on heads, the player receives 111 point. if the coin lands on tails, the player receives 222 points.the expected value of a turn is 1.51.51, point, 5 points.which of the following statements are true?
The expected value of a turn in this game is 166.5 points. This means that, on average, a player would expect to gain 166.5 points per turn. The statement "the expected value of a turn is 1.51.51, point, 5 points" is not accurate, as our calculation demonstrates that the correct expected value is 166.5 points.
The expected value of a turn in this game is calculated by multiplying the probability of getting heads (0.5) by the point value for heads (111) and adding it to the probability of getting tails (also 0.5) multiplied by the point value for tails (222). This gives us an expected value of 166.5 points per turn.
Therefore, the following statements are true:
- If Anouk and Tessa play this game for many turns, the average number of points they will earn per turn will be close to 166.5.
- On average, a player is more likely to receive 222 points per turn than 111 points per turn.
- The expected value of a turn is greater than both the point values for heads and tails individually.
It is important to note that while the expected value can help us understand the average outcome of a game, it does not guarantee that a player will always receive this exact amount in any given turn. The outcome of each flip is still subject to chance.
In the game Anouk and Tessa are playing, a coin is flipped, awarding 111 points for heads and 222 points for tails. To determine the expected value of a turn, we must calculate the probability-weighted average of the possible outcomes.
There are two possible outcomes when flipping a coin: heads and tails. Since a coin has two sides, the probability of getting heads is 1/2, and the probability of getting tails is also 1/2. We can now use these probabilities to calculate the expected value.
Expected Value (EV) = (Probability of Heads × Points for Heads) + (Probability of Tails × Points for Tails)
EV = (1/2 × 111) + (1/2 × 222)
EV = (55.5) + (111)
EV = 166.5 points
Thus, the expected value of a turn in this game is 166.5 points. This means that, on average, a player would expect to gain 166.5 points per turn. The statement "the expected value of a turn is 1.51.51, point, 5 points" is not accurate, as our calculation demonstrates that the correct expected value is 166.5 points.
To learn more about expected value, click here:
brainly.com/question/29093746
#SPJ11
if 1 case of 500 20oz. cups cost 48.38 how much does one cup cost (show all work)
Answer:
Step-by-step explanation:
if 500 cups costs 48.38
than one cup will cost
48.38/500=0.096 cents per cup
Sonya is baking cookies. The table below shows the relationship between the number of batches of cookies she bakes and the number of cups of sugar she uses Number of Batches 1 2 3 Number of Cups of Sugar 2-7 47/17 6²2/2 Based on the relationship shown in the table, how many more cups of sugar does Sonya use to bake 9 batches of cookies than to bake 3 batches of cookies?
a6
b12
c13 1/2
d19 1/4
To find the difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies, we need to calculate the amount of sugar used for each case.
From the table, we can see that:
- For 1 batch of cookies, Sonya uses 2-7 cups of sugar.
- For 2 batches of cookies, Sonya uses 47/17 cups of sugar.
- For 3 batches of cookies, Sonya uses 6²2/2 cups of sugar.
To calculate the amount of sugar used for 9 batches of cookies, we can use the pattern observed in the given values:
- For 4 batches of cookies, Sonya uses 2-7 cups of sugar.
- For 5 batches of cookies, Sonya uses 47/17 cups of sugar.
- For 6 batches of cookies, Sonya uses 6²2/2 cups of sugar.
- For 7 batches of cookies, Sonya uses 2-7 cups of sugar.
- For 8 batches of cookies, Sonya uses 47/17 cups of sugar.
- For 9 batches of cookies, Sonya uses 6²2/2 cups of sugar.
Therefore, to find the difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies, we subtract the amounts:
Amount of sugar for 9 batches - Amount of sugar for 3 batches
[(2-7) + (47/17) + (6²2/2)] - [(2-7) + (47/17) + (6²2/2)]
Simplifying the expression, we get:
[(2-7) + (47/17) + (6²2/2)] - [(2-7) + (47/17) + (6²2/2)]
= 6²2/2 - 6²2/2
= 0
Therefore, the correct answer is:
d) 19 1/4
There is no difference in the number of cups of sugar used to bake 9 batches of cookies compared to 3 batches of cookies.
Drag the costs to the table to classify them as direct operational costs or costs
covered by business insurance.
Costs Covered by
Business Insurance
Direct Operational Costs
Rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.
What are operating expenses?A continuing cost for maintaining a system, a business, or a product is known as an operating expense, operating expenditure, operational expenditure, operational expenditure, or OPEX.
The expense of creating or providing non-consumable pieces for the system or product is known as capital expenditure (capex).
For instance, the annual costs of paper, toner, power, and maintenance for a photocopier are opex, while the cost of the photocopier itself is capex.
Additional running costs for a service-based business could include rent, insurance, commissions, and other costs.
The majority of these costs are routine daily spending.
Costs that weren't directement necessary for those activities are referred to be non-operating expenses.
Therefore, rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.
Know more about operating expenses here:
https://brainly.com/question/14697297
#SPJ1
Correct question:
A service business may have some additional operating expenses like rent, insurance, commissions, and so on. Most of these expenses are incurred on a ___ basis.
What is the answer for (3m-n)(3m+n)
Answer:
Step-by-step explanation:
9m^2 + 3mn - 3mn - n^2
9m^2 - n^2
A large bucket contains 1 2/3 pounds of dough. How many loaves of bread can be made if you need 4/5 a pound of dough omf or each loaf?
We can make 3 loaves of bread with 1 2/3 pounds of dough.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
To find out how many loaves of bread can be made, we need to divide the total amount of dough by the amount of dough needed for each loaf.
The bucket contains 1 2/3 pounds of dough, which we can rewrite as an improper fraction:
1 2/3 = (3 x 1 + 2)/3 = 5/3
So, the bucket contains 5/3 pounds of dough.
Each loaf requires 4/5 of a pound of dough.
To find the number of loaves that can be made, we need to divide the total amount of dough by the amount of dough per loaf:
Number of loaves = Total amount of dough / Amount of dough per loaf
Number of loaves = (5/3) / (4/5)
To divide by a fraction, we can multiply by its reciprocal:
Number of loaves = (5/3) x (5/4)
Number of loaves = 25/12
Since we cannot make a fraction of a loaf, we need to round the result up to the nearest whole number.
Therefore,
We can make 3 loaves of bread with 1 2/3 pounds of dough.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ1
In circle C, to the right, if a=7, what would the
circumference of C be?(to nearest
tenth)
Answer: 44
Step-by-step explanation:
We know that a is a radius so 2a=b because b is the diameter. Then we substitute 7 for a so it is 14=b since the diameter is 14 then the formula for circumference is 2 pi r or pi d so the circumference is 14pi and to simplify that I will assume pi is 3.14 so 14(3.14)=43.96 and rounding to the nearest tenth would give me 44
If f(x) = 2x + 3, what is f(-2)?
Answer:
7
Step-by-step explanation:
Answer:
no answer
Step-by-step explanation:
2(-2)+3=-2
simplify
-4+3=-2
simplify
-1=-2
No answer
If there's something along the lines of no answer and it's multiple choice click that.
please help will give brainliest
Answer:
m= 1/4
Step-by-step explanation:
6 - 5 = 1
6 - 2 = 4 1/4
Answer:
m=1/4
Step-by-step explanation:
Which are true and which are false?
The correct statement is: the volume of the cylinder is 8 cubic inches more than that of the cone.
What is the Volume of a Cone and Volume of a Cylinder?The volume of cone (V) = 1/3 * πr²h
Volume of cylinder (V) = πr²h
Where, r is the radius of their bases.
The base area formula for the cone = πr²
Calculate the area of the base of the cone that has a radius (r) of 2.5 in:
Area of the base of the cone = π(2.5)² ≈ 19.6
The volume of the cone (V) = 1/3 * πr²h = 1/3 * π * 2.5² * 6.5
≈ 42.5 cubic inches
Volume of cylinder (V) = πr²h = π * 2² * 4
≈ 50.3 cubic inches
The difference in volume = 50.3 - 42.5
= 7.8 ≈ 8 cubic inches
Therefore, the only statement that is true is: the volume of the cylinder is 8 cubic inches more than that of the cone.
Learn more about the Volume of cylinder on:
https://brainly.com/question/20307843
#SPJ1
Which of the following is an equivalent form of the equation of the graph shown in the xyxyx, y-plane above, from which the coordinates of vertex AAA can be identified as constants in the equation
The equivalent form of the equation y=\(x^{2} -2x-15\)given is y=(x+3)(x-5).
Given an equation y=\(x^{2}\)-2x-15 and we are required to find the equivalent form of the equation.
Equation is like a relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation, quadratic equation, cubic equation or any other equation depending on the powers of the variable.
To find the equivalent equations we are required to form factors of the equation. Equivalent equation are those equations which when solved gives the same solution as the equation when solved gives.
y=\(x^{2}\)-2x-15
y=\(x^{2}\)-5x+3x-15
y=x(x-5)+3(x-5)
y=(x+3)(x-5)
Hence the equivalent form of the equation y= \(x^{2}\)-2x-15 given is
y=(x+3)(x-5).
Learn more about equation at https://brainly.com/question/2972832
#SPJ4
Question is incomplete as question should includes the equation
y= \(x^{2}\)-2x-15.
Dan and Joe are responsible for cutting the grass on the local high school soccer field. Joe cuts a diagonal line through the field, as shown in the diagram below, and says that each person is responsible for cutting the grass on one side of the line. Dan says that this is not fair because he will have to cut more grass than Joe. Is Dan correct? Why or why not?
Answer:
Step-by-step explanation:
For each figure, complete the statement a/b = ?/?.
Answer:
r/r+s
Step-by-step explanation:
a/b is essentially a/a+x, where x is (b-a) + a
so,
a/b = r/r+s
A professor tells his class that the mean score on their first exam was 50 (there is no possible maximum value). He announces that he will add 20 points to each student's score. What is the new mean after each student has received those extra 20 points
Answer:
It will add 20
Step-by-step explanation:
If the mean is 50, we can make the guess that maybe there are 10 children with all 50. If we add 20 then the mean becomes 70.
A polygon that undergoes a series of transformations that the image has the corresponding sides and angles of equal measure to those of the original, it can be said that the original and the image are congruent. true or false?
What did the answer end up being?
Find the sum.
x²
y
1
xy²
+
Enter the correct answer.
The sum of given function \((1/(xy^2)) + (x^2/y)\) is \((x^3 + 1)/x(y^2).\)
What is sum?
In mathematics, the sum refers to the result of adding two or more numbers or quantities together. For example, the sum of 2 and 3 is 5, and the sum of 4, 5, and 6 is 15. The symbol used to represent a sum is "∑" (sigma).
What is function?
In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output.
According to given information:To find the sum of \((1/(xy^2)) + (x^2/y)\), we need to first get a common denominator.
The denominator of the first fraction is \(xy^2\), while the denominator of the second fraction is y. The least common multiple of these two denominators is \(xy^2\), so we can rewrite the two fractions with this denominator:
\((1/(xy^2)) + (x^2/y) = (1/(xy^2)) * (y/y) + (x^2/y) * (xy/xy)\)
Simplifying each term in the sum, we get:
\(= (y/(xy^3)) + (x^3y/(xy^3))\\= [(x^3y + y)/(xy^3)]\\= [(x^3 + 1)/x(y^2)]\)
Therefore, the sum of \((1/(xy^2)) + (x^2/y)\) is \((x^3 + 1)/x(y^2).\)
To learn more about sum visit:
https://brainly.com/question/24205483
#SPJ9
If each shelf can hold at most 20 books, what is the least number of shelves needed to store the 175 books?
Answer- 9 shelves
In order to find out how many shelves are need we must divided 175 into 20. 175 divided by 20 is 8.75. But, because you cannot have have .75 of a shelf, you have to round this to a whole. This means that 9 shelves will be the least needed number of shelves need to store 175 books. To check this answer 20 books X 8 shelves is 160 books, which means eight shelves can only store 160 books, we will need and additional shelf to store the last 15 books.
HOPE THIS HELPS & GOOD LUCK!
factor a 7 from the numerator and a 6 from the denominator. this will give us the following. f(x) = 7 6 − x
To factor a 7 from the numerator and a 6 from the denominator of f(x) = 7/6 - x, we can rewrite the expression as f(x) = 7/(6(1 - x/6)).
To factor out a common factor from a fraction, we need to find the greatest common factor of the numerator and denominator. In this case, the greatest common factor of 7 and 6 is 1, so we cannot factor it out. However, we can factor out a 6 from the denominator by dividing both the numerator and denominator by 6, which gives us f(x) = 7/6(1 - x/6). Then, we can simplify this expression by factoring out a 7 from the numerator, which gives us f(x) = 7/(6(1 - x/6)).
We can factor a 7 from the numerator and a 6 from the denominator of f(x) = 7/6 - x by rewriting the expression as f(x) = 7/(6(1 - x/6)). This is useful for simplifying the expression and solving equations involving it.
To learn more about denominator visit:
https://brainly.com/question/7067665
#SPJ11
if i was o dived 3 by 2 what woud it be
Answer:
it would be zero
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
Guided practice (page 4)
Previous page
Distance from the ground in floors
11+
10+
of
8+
74
1
...
C
8 9 10
Which of the following statements are true about the elevator? Select all that apply.
Elapsed time in seconds
The elevator stayed 3 floors above the ground initially, then went to a lower floor.
The elevator stayed 3 floors above the ground initially, then went to a higher floor.
The elevator appeared to be moving faster when going up than when going down.
The elevator stayed 7 floors above the ground for 2 seconds.
Hint
Submit Answer
The correct statements of the given statements are -
The elevator stayed 3 floors above the ground initially, then went to a lower floor.The elevator appeared to be moving faster when going up than when going down.What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is the distance of the elevator from the ground in floors.
The elevator stayed 3 floors above the ground initially, then went to a lower floor.The elevator appeared to be moving faster when going up than when going down.Therefore, the correct statements of the given statements are -
The elevator stayed 3 floors above the ground initially, then went to a lower floor.The elevator appeared to be moving faster when going up than when going down.To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ1
A company expects that the number N(x) of a product sold during a week is related to the amount spent on advertising by the function N(x)=-6x3+180x²+2250x + 13,000, where x (with 0 ≤x≤25) is the amount spent on advertising in thousands of dollars. What is the point of diminishing returns?
The point of diminishing returns is
(Simplify your answer. Type an ordered pair. Do not use commas in the individual coordinates.)
The point of diminishing returns is (20.98, 21247.3).
The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.
Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.
The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:
0 = -18x² + 360x + 2250
Dividing by -18 simplifies the equation:
0 = x² - 20x - 125
Using the quadratic formula, we find the solutions to the equation:
x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)
x₁,₂ = 10 ± 5√5
Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.
To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:
N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8
N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8
From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.
To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).
Hence, the point of diminishing returns is approximately (20.98, 21247.3).
Learn more about diminishing returns
https://brainly.com/question/30766008
#SPJ11
Use the Central Limit Theorem to find the probability of the indicated event, assuming that the distribution of the population data is unknown. In a certain city, employees work an average of 18.9 hours of overtime every month, with a standard deviation of 7.8 hours. What is the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours? Provide a solution showing your calculations and submit your work for marking. Include a sketch as part of your complete solution. P(X > 20)=
The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.
To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.
Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).
For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.
To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.
In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.
Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.
Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.
Here's a sketch to visualize the calculation:
|
|
|
| **
| * *
| * *
| * *
| * *
| * *
| * *
-------------------|--------------------------
18.9 | 20
The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.
for more such questions on probability visit:
https://brainly.com/question/251701
#SPJ8
I will give brainliest for correct answer!
Answer:
you forgot the question
Step-by-step explanation:
Answer:
where is the question? we need the question lol
What is the surface area of this shape?
Answer:
SA : 253.5
Step-by-step explanation:
2(6.5)(6.5) + 2(6.5)(6.5) + 2(6.5)(6.5)
84.5 + 84.5 + 84.5 = 253.5
The Baldwin family walked 4/5 of a mile in 4/9 of an hour. What is their unit rate in miles per hour?
Answer:
1.8mph
Step-by-step explanation:
you must multiply both fractions by the reciprocal of 4/9 which is 9/4
(4/5 * 9/4) / (4/9 * 9/4)
(36/20) / (36/36)
9/5 or 1.8 / 1/1 or 1
1.8/1 = 1.8 mph
The combined perimeter of an equilateral triangle and square is 13.
Find the dimensions of the triangle and square that produce a minimum total area.
The measurement of square on each side
The measurement of triangle on each side
Find the dimensions of the triangle and square that produce a maximum total area.
The measusrement of square on each side
The measurement of triangle on each side
To minimize the total area of an equilateral triangle and square, the side length of the square should be 2.167 and the side length of the triangle should be 3.833.
To find the dimensions that minimize the total area, we can set up equations based on the given information. Let's denote the side length of the square as 's' and the side length of the equilateral triangle as 't'. The perimeter of the square is 4s, and the perimeter of the equilateral triangle is 3t. Given that the combined perimeter is 13, we have the equation 4s + 3t = 13.
To minimize the total area, we need to consider the formulas for the areas of the square and equilateral triangle. The area of the square is given by A_square = \(s^2\), and the area of the equilateral triangle is given by A_triangle = (\(\sqrt{(3)}\)/4) *\(t^2\).
To find the values that minimize the total area, we can substitute s = (13 - 3t)/4 into the equation for A_square and solve for t. By finding the derivative of the total area with respect to t and setting it equal to zero, we can find the value of t that minimizes the area.
Similarly, to find the dimensions that maximize the total area, we follow the same process but this time maximize the total area by finding the value of t that maximizes the area.
Performing the calculations, we find that to minimize the total area, the side length of the square is approximately 2.167 and the side length of the triangle is approximately 3.833. To maximize the total area, the side length of the square is approximately 4.333 and the side length of the triangle is approximately 1.667.
Learn more about equilateral triangle here:
https://brainly.com/question/30176141
#SPJ11