The manager of a community symphony estimates that the symphony will earn -40P^2+1100P dollars per concert if they charge P dollars for tickets What price should the symphony charge in order to maximize its profits?
Answers
Answer:
$13.75
Explanation:
The estimated amount the symphony will earn is given by the expression:
\(-40p^2+1100p\)To determine what price the symphony should charge in order to maximize its profits, we first find the maximum point of the quadratic function.
The maximum point occurs at the axis of symmetry.
The equation of the line of symmetry is obtained using the equation:
\(\begin{gathered} p=-\frac{b}{2a} \\ =-\frac{1100}{2\times-40} \\ p=\$13.75 \end{gathered}\)Therefore, the symphony should charge $13.75 to maximize its profit.
Related Questions
find the approximate area of the shaded region, given that the area of the sector is approximately 13.08 square units.
Answers
The area of the shaded region is 3915 units².
We have,
Area of the sector.
= 13.08 units²
Now,
To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.
Area = √[s(s - a)(s - b)(s - c)]
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case,
The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:
Calculate the semi-perimeter:
s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units
Use Heron's formula to find the area:
Area = √[7(7 - 5)(7 - 5)(7 - 4)]
= √[7(2)(2)(3)]
= √[84]
≈ 9.165 units (rounded to three decimal places)
Now,
Area of the shaded region.
= Area of the sector - Area of the isosceles triangle
= 13.08 - 9.165
= 3.915 units²
Thus,
The area of the shaded region is 3915 units².
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Zero(s) of multiplicity one:
Zero(s) of multiplicity two:
Zero(s) of multiplicity three:
Please look at photo for the full question. Thank you.
Answers
The zeros and the multiplicities are
Zero(s) of multiplicity one: x = 6Zero(s) of multiplicity two: x = 11Zero(s) of multiplicity three: x = -6 and x = -5How to determine the zeros and the multiplicitiesfrom the question, we have the following parameters that can be used in our computation:
f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³
The power of each factor are the multiplicities
So, we have
Zero(s) of multiplicity one:
x - 6 = 0
Zero(s) of multiplicity two:
x - 11 = 0
Zero(s) of multiplicity three:
x + 6 = 0 and x + 5 = 0
When evaluated, we have
Zero(s) of multiplicity one:
x = 6
Zero(s) of multiplicity two:
x = 11
Zero(s) of multiplicity three:
x = -6 and x = -5
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What equation is graphed in this figure?
Answers
Which of the following show the factored equivalent of
f(x) = (2x^2 +7x + 3)(x - 3) and its zeros?
Answers
Answer:
the answer is "D"
(2x+1)(x+3)(x-3) //// -3,-.5,3
Step-by-step explanation:
Factored Form: y= (2x+1)(x+3)(x-3)
Answer:
D
Step-by-step explanation:
\(f(x) = (2x^2 +7x + 3)(x - 3)\) is factored into: \(f(x)= (2x+1)(x+3)(x-3)\)
That takes out the choices B and C.
The roots are -0.5, 3, and -3.
Therefore, the answer is D.
I hope this helps!
pls ❤ and mark brainliest pls!
help fast please.........................
Answers
The type of angle in which angle 3 and angle 6 are, is that they are alternate interior angles ( option C)
What are angles on parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Since line c and line b are parallel to each other and line a is the transversal that cut through both of them the angle on line a and line b will have the following characteristics;
They can be;
supplementary
alternate exterior
alternate interior
vertically opposite
and corresponding
The property between angle 3 and angle 6 is that they are alternate interior to each other.
Therefore angle 3 and angle 6 are alternate interior angles.
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which diagram below appears to show a pair of perpendicular lines Diagram A Diagram B Diagram C. Explain your Answer.
Answers
The answer for it is diagram B because it does not cross or have parallel lines
you can continue to tranform 12=5x-3 into simpler form by adding 3 to both sides to get 15=5x when x =3 do youu get true statement
Answers
Answer:
yes
Step-by-step explanation:
12+3=5x-3+3
15=5x
15=5(3)
15=15
A cylinder has a base diameter of 16 feet and a height of 4 feet.
Answers
Answer:
Step-by-step explanation:
radius = 16/2 = 8
Then you can apply the formula to calculate the base area, lateral surface or surface or even perimeter
268 cubic feet
Step-by-step explanation:
=PI 8^2 (3/4)
Help please due today
Answers
Answer:
18. 2,970 orbits.
19. 12,00 pounds
20. Vic’s town by 52,000
Step-by-step explanation:
Help 20 points (show your work)
Answers
The measure of angle ADC in the geometric system is equal to 55°.
How to determine the value of an angle related to a geometric system
In this question we find a geometric system formed by a quadrilateral and an angle vertical to a vertex of the quadrilateral. Angle CDE is supplementary to angles EDF and ADC. Two angles are supplementary whose sum of measures equals 180°. Therefore:
m ∠ CDE + m ∠ EDF = 180°
(2 · x + 1) + (x - 7) = 180°
3 · x - 6 = 180°
3 · x = 186°
x = 62
m ∠ CDE = 2 · x + 1
m ∠ CDE = 2 · 62 + 1
m ∠ CDE = 125°
m ∠ ADC = 180° - 125°
m ∠ ADC = 55°
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True or False?
(–3)^22 is greater than (–2)^33
Answers
Answer:
true
Step-by-step explanation:
(-3)^22 -> to the power of an even number -> answer is positive
(-2)^33 -> to the power of an odd number -> answer is negative
positive # > negative #
Answer:
True
Step-by-step explanation:
First let's compare them.
(-3)²² (-2)³³-3 raised to an even power will give a positive number.
-2 raised to an odd power will give a negative number.
Therefore, (-3)²² > (-2)³³ is a true statement.
On a certain hot summer day, 606 people used the public swimming pool the daily prices are 1.50 for children and 2.00 for adults the receipts for admission totaled 1042.50 how many children and how many adults swam at the public pool that day
Answers
Answer:
rsgsadfg
Step-by-step explanation:
d dhrtyeyerte
6x²-7x=20 solve the following quadratic equation
Answers
Answer:
x = -4/3 and x = 5/2.
Step-by-step explanation:
6x² - 7x = 20
6x² - 7x - 20 = 0
To solve this, we can use the quadratic formula to solve this.
[please ignore the A-hat; that is a bug]
\(\frac{-b±\sqrt{b^2 - 4ac} }{2a}\)
In this case, a = 6, b = -7, and c = -20.
\(\frac{-(-7)±\sqrt{(-7)^2 - 4 * 6 * (-20)} }{2(6)}\)
= \(\frac{7±\sqrt{49 + 80 * 6} }{12}\)
= \(\frac{7±\sqrt{49 + 480} }{12}\)
= \(\frac{7±\sqrt{529} }{12}\)
= \(\frac{7±23 }{12}\)
\(\frac{7 - 23 }{12}\) = \(\frac{-16 }{12}\) = -8 / 6 = -4 / 3
\(\frac{7 + 23 }{12}\) = \(\frac{30}{12}\) = 15 / 6 = 5 / 2
So, x = -4/3 and x = 5/2.
Hope this helps!
Answer:
\(x1 = - \frac{4}{3} \)\(x2 = \frac{5}{2} \)Step-by-step explanation:
\(6 {x}^{2} - 7x = 20\)
Move constant to the left and change its sign
\( {6x}^{2} - 7x - 20 = 0\)
Write -7x as a difference
\(6 {x}^{2} + 8x - 15x - 20 = 0\)
Factor out 2x from the expression
\(2x(3x + 4) - 15x - 20 = 0\)
Factor out -5 from the expression
\(2x(3x + 4) - 5(3x + 4) = 0\)
Factor out 3x + 4 from the expression
\((3x + 4)(2x - 5) = 0\)
When the product of factors equals 0 , at least one factor is 0
\(3x + 4 = 0\)
\(2x - 5 = 0\)
Solve the equation for X1
\(3x + 4 = 0\)
Move constant to right side and change its sign
\( 3x = 0 - 4\)
Calculate the difference
\(3x = - 4\)
Divide both sides of the equation by 3
\( \frac{3x}{3} = \frac{ - 4}{3} \)
Calculate
\(x = - \frac{4}{3} \)
Again,
Solve for x2
\(2x - 5 = 0\)
Move constant to right side and change its sign
\(2x = 0 + 5\)
Calculate the sum
\(2x = 5\)
Divide both sides of the equation by 2
\( \frac{2x}{2} = \frac{5}{2} \)
Calculate
\(x = \frac{5}{2} \)
\(x1 = - \frac{4}{3} \)
\(x2 = \frac{5}{2} \)
Hope this helps...
Best regards!!
Set up an equation for x and solve to the nearest degree
Answers
Answer:
Almost equals 28°
Step-by-step explanation:
cos(x)= 12/18
x= cos^-1 (12/18)
So it equals 48.1896°
No need of a answer anymore.
Answers
Answer:
mean score of class B = 1778/25 = 71.12
Step-by-step explanation:
This was your question : Class A has 12 pupils and class B has 25 pupils. Both classes sit the same maths test. The mean score for class A is 80. The mean score for both classes is 74. What is the mean score (rounded to 2 DP) in the maths test for class B?
mean of class A = Σfx/Σf
mean of class A = 80
Σfx = 80 × 12 = 960
Mean score for both classes = 74
where
b = Σfx of class B
960 + b/37 = 74
cross multiply
960 + b = 2738
b = 2738 - 960
b = 1778
mean score of class B = Σfx/Σf
Σfx = 1778
Σf = 25
Therefore,
1778/25 = 71.12
Find two numbers the quotient between. Then estimate the quotient. 41÷3
Answers
Answer:
The quotient is between 10 and 15, and the exact answer is 13 with the remainder of 2: 13R2.
Step-by-step explanation:
41 ÷ 3 is a very long answer so do 39 ÷ 3 which equals 13 and since you can't divide 2 by three without negatives, just do it as a remainder of 2, or R2, which means the answer is 13 with the remainder of 2, or just 13R2.
Sandra, a handler in a toy manufacturing unit needs to pack 71 identical toys in equal numbers in 3 cartons. (1). How many toys can be packed in each cartons? (2). How many toys remain unpacked after she has sorted them equally?
Answers
Answer:
1. 23.66
2. 2
Step-by-step explanation:
because 71/3=23.66 and unpacked will be 2
What would the height need to be for this curve to be a density curve?
1/5
1/4
1/2
1
Answers
For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.
Let's see how the height would need to be for this curve to be a density curve.A density curve is a statistical representation of the distribution of a dataset or population. Density curves are used to describe the distribution of continuous data and provide a visual representation of the likelihood of an event occurring within a specific range of values. It helps to determine the proportion of data that falls within a given range of values. A density curve is used to provide a graphical representation of data without showing the individual data points.To be a density curve, a curve must have the following properties:The curve should be non-negative.The area under the curve should be equal to 1.The curve should be smooth and continuous.There should be no values outside the range of the data.From the above properties, we can conclude that the height required for a curve to be a density curve depends on the data that the curve represents. As long as the curve meets the above conditions, it can be considered a density curve. So, there is no specific height required for a curve to be a density curve. The height of the curve can vary depending on the range of the data and the distribution of the data.For such more question on properties
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Simplify (a÷b)³×(b÷c)×(c÷a)³ when a=3,b=a²,c=a³
Answers
Answer:
To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.
Substituting the values of a, b, and c:
a = 3
b = a² = 3² = 9
c = a³ = 3³ = 27
Now let's simplify the expression:
(a÷b)³×(b÷c)×(c÷a)³
(3÷9)³×(9÷27)×(27÷3)³
Simplifying each term:
(3÷9) = 1/3
(9÷27) = 1/3
(27÷3) = 9
Now we can substitute the simplified values back into the expression:
(1/3)³×(1/3)×9
Simplifying further:
(1/27)×(1/3)×9
1/9
Therefore, the simplified expression is 1/9.
m grade> Y.4 Area and perimeter: word problems JFR
A rectangular garage is 6 meters wide and 7 meters long. What is its perimeter?
Answers
Answer:
26 meters
Step-by-step explanation:
To solve the perimeter you need to know the formula which is 6 + 7 x 2 and you get 26 meters
find all three-digit numbers that meet these criteria: all digits are distinct, one digit is odd, and the sum of the digits is five.
Answers
Answer:
203, 230, 320, 302, 140, 410, 104, 401
Step-by-step explanation:
To meet the criteria, we have to think of all the ways we can use three distinct numbers, with one of the numbers being odd, which adds up to 5:
1 + 4 + 0 = 5
2 + 3 + 0 = 5
Subsequently, use the numbers we found and rearrange them to form three-digit numbers.
Question
Henry has collected data to find that the
typing speeds for the students in a typing
class has a normal distribution. What is the
probability that a randomly selected student
has a typing speed of less than 51 words per
minute if the mean (u) is 47 words per
minute and the standard deviation (o) is 4
words per minute? Use the empirical rule.
• Provide the final answer as a percent.
Provide your answer below:
%
Answers
The probability that a randomly selected student has a typing speed of less than 51 words per minute if the mean (u) is 47 words per minute and the standard deviation (o) is 4 words per minute is; 68%
How to use empirical formula in statistics?The empirical rule in statistics states that for normal distributions, 68% of observed data points will lie inside one standard deviation of the mean, 95% will fall within two standard deviations, and 99.7% will occur within three standard deviations.
The formula for z-score is;
z = (x' - μ)/σ
where;
x' is sample mean
μ is population mean
σ is standard deviation
We are given;
x' = 51
μ = 47
σ = 4
Thus;
z = (51 - 47)/4
z = 1
From empirical formula at 1 standard deviation above the means, the probability is 68%.
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To find the distance AB across a river, a distance BC=290 is laid off on one side of the river. It is found that B=117degrees and C=24degrees. Find AB.
Answers
The value of distance AB is 187.5 units
What is sine rule?Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other.
sine rule can be expressed as;
a/sinA = b/sinB = c/sinC
The opposite side to angle A is BC
the opposite side to angle C is AB
therefore;
A = 180-( 117 +24)
A = 180- 141
A = 39°
290/sin 39 = x/ sin24
xsin39 = 290 × sin24
0.629x = 117.95
x = 117.95/0.629
x = 187.5
therefore the distance AB is 187.5
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A computer training institute has 625 students that are paying a course fee of $400. Their research shows that for every $20 reduction in the fee, they will attract another 50 students. Which equation could be used to represent this situation, where x is the course fee and R(x) is the total revenue?
R(x) = −2.5x2 + 1625x
R(x) = −3x2 + 1650x
R(x) = 3x2 − 1650x
R(x) = 2.5x2 − 1625x
Answers
The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²
What is an Equations?Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
N(x) = 625 + 2.5x
The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:
R(x) = (625 + 2.5x)(400 - x)
Simplifying the expression, we get:
R(x) = 250000 + 375x - 2.5x²
Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:
R(x) = 250000 + 375x - 2.5x²
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Can anyone help me with my algebra homework please ?
Answers
Answer:
She will practice 2.5 for week four
Step-by-step explanation:
The table is going by 0.5 so I added 0.5 +2 =2.5
can you guys please help me
Answers
9514 1404 393
Answer:
see below
Step-by-step explanation:
Each vertex has a single-letter label.
Each edge joins two vertices, and is named by naming those two vertices.
Each polygon is named by listing the vertices at its corners. It is a plane figure.
The base is the polygon opposite the point where all of the triangles come together.
__
16. figure: pentagonal pyramid ABCDEF
17. base: ABCDE
18. faces: ABF, BCF, CDF, DEF, AEF, ABCDE (the bottom face, or base)
19. edges: AB, BC, CD, DE, AE, FA, BF, CF, DF, EF
20. vertices: A, B, C, D, E, F
A research company wants to determine whether there is a difference in effectiveness of a brand-name ibuprofen and generic ibuprofen. What are the appropriate hypotheses for this testing scenario? Let equal the mean of the effectiveness of brand-name ibuprofen and equal the mean of the effectiveness of generic ibuprofen
Answers
The alternative hypothesis is a two-tailed hypothesis because it examines whether there is a difference in effectiveness, which can be positive or negative.
What is null hypothesis?A null hypothesis is a type of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Sample data is used to assess the viability of theories. H0 represents what is referred to as "zero" on occasion. The researchers make the assumption that there may be a relationship between the factors. The null hypothesis, on the other hand, claims that no such relationship exists. Although it may not appear to be significant, the null hypothesis is an important part of research.
The following hypotheses would be appropriate for testing the difference in effectiveness between brand-name and generic ibuprofen:
The null hypothesis (H0) states that there is no difference in the mean effectiveness of brand-name and generic ibuprofen.
Alternative hypothesis (Ha): The mean effectiveness of brand-name ibuprofen and generic ibuprofen differs.
These hypotheses can be expressed symbolically as follows:
H0: _generic = _brand-name\\
Ha: _trademark _generic
Where _brand-name denotes the population mean efficacy of brand-name ibuprofen and _generic denotes the population mean efficacy of generic ibuprofen. The alternative hypothesis is a two-tailed hypothesis because it examines whether there is a difference in effectiveness, which can be positive or negative.
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Answer:
H0: μ1 – μ2 = 0
Ha: μ1 – μ2 ≠ 0
Step-by-step explanation:
took the quiz :)
Median of 5,4,6,3,4?
Answers
Answer:
4
Step-by-step explanation:
3, 4, 4, 5, 6
Answer:
4
Step-by-step explanation:
Sort values from smallest to largest: 3, 4, 4, 5, 6
Find the center index value:
(N) = 5
Center index = \(\frac{(N+1)}{2}\)
Center index = 3
The median is the 3rd value, which is 4.
Hope that this helps!
PLEASE HELP PLEASE HELP
Answers
Answer:
B
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The Square Pyramid Has 5 Vertices.
:)
In a 30 degree, 60 degree, 90 degree triangle shortest side is 15. Find the lengths of the other sides. Will give brainliest for correct answer
Answers
Answer:
The ratio of sides in a 30-60-90 triangle is 1:√3:2. Since the shortest side is the 1 in this case the other lengths are 15√3 and 30.