Answer:
The percent decrease is [tex]37.5\%[/tex]
Step-by-step explanation:
we know that
[tex]8\ tickets[/tex] ------> represent the [tex]100\%[/tex]
so
by proportion
Find the percent decrease
[tex]\frac{100}{8}\frac{\%}{tickets} =\frac{x}{(8-5)}\frac{\%}{tickets} \\ \\x=100*(8-5)/8\\ \\x=100*3/8\\ \\x=37.5\%[/tex]
Which is the graph of the function f(x) = x2 + 2x – 6? Mark this and return
The graph of the function f(x) = x² + 2x − 6 is an upward-opening parabola with the vertex at (-1, -7) and a y-intercept at (0, -6). There are no asymptotes for this quadratic function.
Explanation:To find the graph of the function f(x) = x² + 2x − 6, we need to look at the characteristics of this quadratic equation. This is a parabola that opens upward because the coefficient of x² is positive. We can find the vertex of this parabola by using the formula -b/2a for the x-coordinate of the vertex.
Here, a = 1 and b = 2. Applying the formula, we get the x-coordinate of the vertex as -b/2a = -2/(2×1) = -1. Now, we plug this value back into the function to get the y-coordinate of the vertex: f(-1) = (-1)² + 2(-1) − 6 = 1 - 2 - 6 = -7. Therefore, the vertex of the parabola is at (-1, -7). The parabola will intersect the y-axis when x = 0, which gives us the y-intercept f(0) = -6. No asymptotes are present in this quadratic function.
The graph of f(x) is symmetrical about the line x = -1 and has a y-intercept at (0, -6). The vertex at (-1, -7) is the lowest point on the graph since the parabola opens upwards. Thus, we are looking for a graph with these characteristics to represent the function f(x) = x² + 2x − 6.
Which equation represents a direct variation? y = 2x y = x + 4 y = x y =
Gomez runs a small pottery firm. he hires one helper at $15,000 per year, pays annual rent of $6,500 for his shop, and spends $23,000 per year on materials. he has $40,000 of his own funds invested in equipment (pottery wheels, kilns, and so forth) that could earn him $6,000 per year if alternatively invested. he has been offered $20,500 per year to work as a potter for a competitor. he estimates his entrepreneurial talents are worth $5,000 per year (input cost for organizing resources). total annual revenue from pottery sales is $82,000. calculate the accounting profit and the economic profit for gomez's pottery firm.
The accounting profit for Gomez's pottery firm is $37,500, calculated by subtracting explicit costs from total revenue. The economic profit is $6,000, figured out by subtracting both explicit costs and implicit costs from total revenue.
Explanation:To calculate the accounting profit for Gomez's pottery firm, we subtract all explicit costs (money spent) from the total revenue. In this case, we subtract the salary of the helper ($15,000), the rent of the shop ($6,500), and the amount spent on materials ($23,000) from the total annual revenue from pottery sales ($82,000). Therefore, the accounting profit is $82,000 - $15,000 - $6,500 - $23,000 = $37,500.
On the other hand, to obtain the economic profit, we need to also subtract implicit costs, which are the opportunity costs of using the resources in one way rather than the next best alternative way. Gomez could have made $6,000 by investing his own $40,000 elsewhere, and he could have earned $20,500 by working for a competitor, so these are both implicit costs. Additionally, he estimates his entrepreneurial talents to be worth $5,000. Therefore, "the economic profit is $37,500 (accounting profit) - $6,000 (returns from alternative investment) - $20,500 (salary from competitor) - $5,000 (value of his entrepreneurial talents) = $6,000".
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Simplify.
16.3 – (–4.2) + 15.9
16.3 - (-4.2) +15.9 =
16.3 + 4.2 + 15.9 =
36.4
Line s is the perpendicular bisector of JK. If line s intersects JK at point L, which of the following statements must be true? Check all that apply. A. Line s is perpendicular to JK B. JL = KL C. Line s is parallel to JK D. Point L is the midpoint of JK E. Line s intersects JK at a 180 angle
Line s, being the perpendicular bisector of JK, must be perpendicular to JK at point L, making JL equal to KL and meaning that point L is the midpoint of JK.
Explanation:If line s is the perpendicular bisector of segment JK and intersects it at point L, we can determine several truths about the geometric relationship between these elements:
A. Line s is perpendicular to JK: Yes, this is true because by definition, a perpendicular bisector not only cuts a line segment into two equal parts but also does so at a 90° angle.B. JL = KL: This statement must also be true. Since line s is a bisector, it divides JK into two equal parts, hence JL (the length from J to L) is equal to KL (the length from K to L).D. Point L is the midpoint of JK: True again, as the point where the perpendicular bisector intersects the line segment is known as the midpoint, implying that point L is equidistant from both J and K.Statements C and E are incorrect. Line s cannot be parallel to JK as it intersects it, and a 180° angle refers to a straight line, not the angle formed by a perpendicular intersection.
Liliana takes 4 breaths per 10 seconds during yoga. At this rate, about how many breaths would Liliana Take in 2 minutes of yoga?
On Anne's bicycle, the ratio of pedal turns to rear- wheel turns in second gear is 4 to 7. If her rear wheel turns 875 times per mile, how many times does she turn the pedal in one mile? HINT: Set up and solve as a proportion to find x.
Please answer ASAP: Determine which of the following situations can be modeled by the ratio 7/2. Select all situations that apply
For every twenty-eight cats, there are 4 dogs
Sara runs an average of fourteen miles every four days.
An online clothing store charges $7.50 to ship ten clothing items
A recipe calls for 3 cups of flour for every 1 cup of sugar.
Bottled water is on sale this week for a rate of $1.50 for two bottles
the only one that applies is:
Sara runs 14 miles every 4 days = 7 miles every 2 days = 7/2
Find the absolute value of the jacobian, ∣∣∂(x,y)∂(s,t)∣∣, for the change of variables given by x=s+5t,y=3s+8t
It takes a boat 2 hours to travel 22 miles downstream and 4 hours to travel 20 miles upstream. What is the speed of the boat in still water?
What is the simplified form of the following expression
To simplify the given expression, factor out the common factors from the denominator and rewrite the expression using the factored form.
Explanation:To simplify the given expression, we first need to simplify the denominator. This can be done by factoring out a common factor of 4 from each term:
(4a + 2)(2a - 3)
Next, we can rewrite the expression using the factored form:
1 / (4a + 2)(2a - 3)
This is the simplified form of the given expression.
The answer is c. [tex]$\frac{\sqrt[3]{20 x}}{5}$[/tex]
Separate the cube root: We can break down the cube root of a fraction into the cube root of the numerator divided by the cube root of the denominator:
[tex]\sqrt[3]{\frac{4 x}{5}} = \frac{\sqrt[3]{4 x}}{\sqrt[3]{5}}[/tex]
Simplify the cube root of 5: Since 5 is a perfect cube (5 = 1 * 5 * 5), its cube root is simply 5:
[tex]\frac{\sqrt[3]{4 x}}{\sqrt[3]{5}} = \frac{\sqrt[3]{4 x}}{5}[/tex]
Rationalize the denominator: To make the expression look more simplified, we can eliminate the cube root in the denominator. We do this by multiplying both the numerator and denominator by the cube root of 5:
[tex]\frac{\sqrt[3]{4 x}}{5} \times \frac{\sqrt[3]{5}}{\sqrt[3]{5}} = \frac{\sqrt[3]{4 x} \times \sqrt[3]{5}}{5 \times \sqrt[3]{5}}[/tex]
This simplifies to:
[tex]\frac{\sqrt[3]{20 x}}{5}[/tex]
Therefore, the simplified form of the expression is [tex]$\frac{\sqrt[3]{20 x}}{5}$[/tex].
Complete Question:
What is the simplified form of the following expression?
[tex]\sqrt[3]{\frac{4 x}{5}}[/tex]
a. [tex]$\frac{\sqrt[3]{4 x}}{5}$[/tex]
b. [tex]$\frac{\sqrt[3]{20 x}}{5}$[/tex]
c. [tex]$\frac{\sqrt[3]{100 x}}{5}$[/tex]
d. [tex]$\frac{\sqrt[3]{100 x}}{125}$[/tex]
Andrew has 10 more goldfish than todd.together they have 50 goldfish.how many goldfish each boy have?
Answer:
Andrew has 30 goldfish and Todd has 10 goldfish
Step-by-step explanation:
Lets call A the number of goldfish Andrew has and T the number of goldfish Todd has.
Andrew has 10 more goldfish than Todd:
A = T + 10
Together they have 50 goldfish:
A + T = 50
Lets replace A = (T + 10) in the las equation:
T + 10 + T = 50
Lets solve T in this equation:
2T + 10 -10 = 50 -10
2T /2 = 40 /2
T = 20
Todd has 20 goldfish
Now lets calculate A = T + 10 = 20 + 10 = 30
Andrew has 30 goldfish
Opening up the monthly cell phone bill can be alarming due to the uncertainty of the bill. suppose the amount of minutes used per month is distributed normally with a mean of 700 minutes and a standard deviation of 120 minutes. what is the probability that more than 940 minutes were used?
Answer:
the required probability = 0.25
Step-by-step explanation:
Mean = 700 minutes , Standard Deviation = 120 minutes
To find : the probability that more than 940 minutes were used.
Solution : First find the z-score for 940 minutes and then find the area under the curve to the right of associated standard deviations from the mean.
[tex]z-score=\frac{\mu_2-\mu_1}{\sigma}\\\\\mu_1=700,\mu_2=940,\sigma=120\\\\\implies z-score=\frac{940-700}{120}\\\\\implies z-score=2[/tex]
Now, calculate the area under the curve to the right of 2 standard deviations from the mean.
Take confidence level to be 95%.
The area to the right of 2 standard deviations is 0.5 that is half the area under the standard normal curve.
[tex]\implies Area < \frac{0.95}{2}\\\\\implies Area<0.475[/tex]
Now, to find the probability that more than 940 minutes were used = 0.5 - 0.475 = 0.25
Hence, the required probability = 0.25
which of the following three dimensional objects has Rotational symmetry about a line A.a car. B.a set of rectangular stairs. C. a rolling pin. D.a stapler
Answer:
C. a rolling pin.Step-by-step explanation:
A rolling pin has a cylindric shape, which is a revolution surface. This means that the rolling pin is symmetric about a line or axis, therefore, it can be rotated around it.
A rolling pin has rotational symmetry about its longitudinal axis, making it the correct answer, while a car, a set of rectangular stairs, and a stapler do not demonstrate this symmetry.
Explanation:The question relates to the concept of rotational symmetry in three-dimensional objects, which is a part of the study of Physics, specifically dealing with rotational motion. The answer to which of the listed objects has rotational symmetry about a line is C. a rolling pin. A rolling pin has rotational symmetry because when it rotates about its longitudinal axis, its appearance is unchanged after a certain angle of rotation. In contrast, objects like a car, a set of rectangular stairs, and a stapler do not exhibit this symmetry because their appearance changes visibly when they are rotated about any line.
which number line represents the solutions to |-2x|=4?
The formula for the circumference C of a circle, in terms of the radius, is C=2πr, where r stands for the radius. Rearrange the quantities in this formula to give a new formula for the radius of a circle in terms of the circumference.
A. r= 2C/3.14
B. r=3.14/2C
C. r=C/2(3.14)
D. r= 1/2(3.14)C
To get the radius of a circle in terms of circumference, divide the formula for the circumference by 2π, thus r=C/(2π). The correct option is C: r=C/2(3.14), considering 3.14 is the approximate value of π.
Explanation:The formula for the circumference of a circle is given by C=2πr. We are asked to rearrange this formula to make the radius (r) the subject of the formula. To achieve this, we divide both sides of the equation by 2π.
So, dividing both sides of the equation by 2π gives r=C/(2π).
Looking at your options, Option C: r=C/2(3.14), is correct if we consider 3.14 to be the value of π. Therefore, the radius of a circle in terms of the circumference is given by r=C/(2π).
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14.4% of what is 10.44
Which function represents the graph of f(x)=|2x| after it is translated 5 units to the left?
g(x)=|2(x−5)|
g(x)=|2x+5|
g(x)=|2x−5|
g(x)=|2(x+5)|
Answer:
g(x) = |2(x+5)|
Step-by-step explanation:
To translate a function left 5 units, replace x with (x+5). In this function, that means
2x ⇒ 2(x+5) . . . . . matches the last choice
Which of the following numbers are divisible by 2? 74 , 296, 1110, 148, 370, 666, 9324, 111, 37, 555 , or 333?
a rectangle has a side length 2x+9 and side width x. If the perimeter is 36 cm, what is the value of x?
One evening, 2/3 of the students in Rick's class watched television.
Anyone knows??? And like to help
Mr. and mrs. harris have six kids aged 5, 6, 8, 10, 16, and 19. the median age of the harris children is _____.
Answer:
The median age is 9 years old
Step-by-step explanation:
We can find the median by getting the average of the center number of the middle two numbers
8 and 10 are the two middle numbers in this scenario. 8 + 10 = 18
18/2 = 9
Which is the most accurate way to estimate 23% of 70?
what is 16 divided by 7? and give me a real answer.
Frank's Factories has a staff of sales people like Anthony, who receives a monthly salary of $2,750.00 plus an incremental commission based on the table below. If he sells $27,300.00, what is his total gross pay for the month?
The total gross pay for the month is $3,930.80 if Frank's Factories has a staff of salespeople like Anthony, who receives a monthly salary of $2,750.00.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Frank's Factories has a staff of salespeople like Anthony, who receives a monthly salary of $2,750.00 plus an incremental commission based on the table below. If he sells $27,300.00,
Fixed monthly salary = $2,750.00
First commission = 4.1% of 15,000 = $615.00
Second commission = 4.6% of (27300 - 15000) = $565.00
Total gross pay for the month = $2,750.00 + $615.00 + $565.80
= $3,930.80
Thus, the total gross pay for the month is $3,930.80 if Frank's Factories has a staff of salespeople like Anthony, who receives a monthly salary of $2,750.00.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
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To calculate Anthony's total gross pay for the month, consider his base salary and incremental commission based on sales, resulting in a total gross pay of $4,934.00.
To calculate Anthony's total gross pay for the month, we need to consider his base salary and incremental commission based on sales.
Base salary: $2,750.00
Commission on $27,300.00 sales: Using the incremental commission table, the commission percentage for sales between $27,194-$31,479 is 8%. Thus, commission = $27,300.00 * 8% = $2,184.00
Total gross pay = Base salary + Commission = $2,750.00 + $2,184.00 = $4,934.00
There were 36,000 people at a ballgame in los angeles. the day's receipts from $12 reserved seats and $6 general-admission seats were $258,000 how many of each type of seat were sold?
A pinewood derby car can be at most 2 3/4 inches wide. About how many pinwood derby cars can be displayed side-by-side on a shelf that is 31 1/2 inches long?
About 5 11/22 pinewood derby cars can be displayed side-by-side on a shelf that is 31 1/2 inches long.
Explanation:To find out how many pinewood derby cars can be displayed side-by-side on a shelf, we need to divide the length of the shelf by the width of each car. The shelf is 31 1/2 inches long, and each car can be at most 2 3/4 inches wide. So we divide 31 1/2 by 2 3/4:
Therefore, about 5 11/22 pinewood derby cars can be displayed side-by-side on the shelf.
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Which of these story problem describes the sum 19 + (-12)? Check all that apply. Show your work to justify your answer.
Please help..click on picture...I rrally need help