Answer:
IV
Step-by-step explanation:
All of the other ones are pointing towards the square. As you can see, the arrow is not pointing towards the square in IV, therefore that is your answer.
A 5-pack of tickets to the zoo costs $51.90. What is the unit price?
Answer:I think it is 10.38 not 100%
Step-by-step explanation:
you divide 51.90 by 5
Answer:
$10.38
Step-by-step explanation:
5pack= $51.90
1 pack = $51.90÷5
= $10.38
what is the constant of proportionality equation y=2.5x
How many bananas are there in B ?
1) Find the measure of ∠θ. Round to one decimal place.
2) Then, find the measure of AB Round to one decimal place.
Answer/Step-by-step explanation:
Reference angle = θ
Opposite side = 11.9
Adjacent side = 10
Applying the trigonometric ratio, TOA, we have:
Tan θ = opp/adj
Tan θ = 11.9/10
θ = tan^{-1}(11.9/10)
θ = 49.9584509° ≈ 50.0° (to one d.p)
Apply pythagorean theorem to find AB:
Thus:
AB = √(11.9² + 10²)
AB = √241.61
AB ≈ 15.5 (to 1 d.p)
A football club is the only one in its region and is therefore able to behave like a monopolist. It sells tickets to Adults (a) and Juniors (j), whose demand curves are given by:
Pa = 200 − Qa
Pj = 160 − Qj
Additionally, the club’s total costs are given by = 20Qi
The club hires an economist to consider its pricing strategy and receives the advice that it should charge different prices to each type of supporter. Find the prices it sets in both markets, the sales (output) in each and its overall level of profit and illustrate profit maximising outputs and prices of each consumer type on a graph (one graph for each type of consumer). Calculate consumer surplus in this case.
Answer:
Adult market
price: 110sales: 9900profit: 8100consumer surplus: 9000Junior market
price: 90sales: 6300profit: 4900consumer surplus: 5600Total profit: 13000
Total consumer surplus: 14600
Step-by-step explanation:
Given Adult (a) and Junior (j) demand equations Pa = 200 -Qa and Pj = 160 -Qj, and cost equation C = 20Q, you want to find the price in each market that maximizes profit, the sales in each market, and the consumer surplus, and a graph of profit-maximizing sales and prices.
RevenueEach demand equation is of the form P = Pmax -Q, where P is the price that will result in sales of Q tickets. The revenue (R) in each case is the product of numbers of tickets sold (Q) and the price at which they are sold (P).
R = QP = Q(Pmax -Q)
ProfitThe profit is the difference between revenue and cost.
Profit = R - C = Q(Pmax -Q) -20Q
Profit = Q(Pmax -20 -Q)
Writing the demand equation in terms of P, we find ...
Q = Pmax -P
Substituting this into the Profit equation gives ...
Profit = (Pmax -P)(Pmax -20 -(Pmax -P))
Profit = (Pmax -P)(P -20)
The profit function describes a downward-opening parabolic curve with zeros at P=Pmax and P=20. The maximum profit is on the line of symmetry of this curve, halfway between these values of P:
Price for maximum profit = (Pmax +20)/2 = Pmax/2 +10
PricesIn the adult market, Pmax = 200, so the profit-maximizing ticket price is ...
Pa = 200/2 +10 = 110 . . . . price for maximum profit in Adult market
In the Junior market, Pmax = 160, so the profit-maximizing ticket price is ...
Pj = 160/2 +10 = 90 . . . . price for maximum profit in Junior market
SalesUsing the revenue equation, we find the sales in each market to be ...
Qa = 200 -Pa = 200 -110 = 90
Ra = Qa·Pa = 90(110) = 9900 . . . . sales in Adult market
Qj = 160 -Pj = 160 -90 = 70
Rj = Qj·Pj = 70(90) = 6300 . . . . sales in Junior market
Overall ProfitThe profit in each market is ...
Adult market profit = 90(110 -20) = 8100
Junior market profit = 70(90 -20) = 4900
The overall profit will be the sum of the profits in each market:
Overall profit = 8100 +4900 = 13000
Consumer surplusThe consumer surplus in each market is the area below the demand curve and above the price point. It is half the product of the maximum price and the quantity actually sold.
CSa = (1/2)(200)Qa = 100(90) = 9000
CSj = (1/2)(160)(Qj) = 80(70) = 5600
The total consumer surplus is ...
CS = CSa +CSj = 9000 +5600 = 14,600 . . . . total consumer surplus
Graph
The first attachment shows the sales (output) in each market (red=Adult, purple=Junior) as a function of ticket price. It also shows the corresponding profit (orange=Adult, blue=Junior). The profit-maximizing price point is marked on each curve. You will note that it is different from the output-maximizing price point.
The second attachment illustrates the consumer surplus in each market. That graph has price on the vertical axis, and quantity on the horizontal axis. The colors correspond to the colors on the graph in the first attachment.
The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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You have 660 grams AP apples. What is your EP weight if the yield is 75 percent?
ron goes to a shop to buy some notebooks. the shopkeepers informs him that 2 notebooks would cost $90. can you find the cost of 5 notebooks with the help of unitary method
Answer: $225
Step-by-step explanation:
Each Notebook costs 45 dollars, this can be found by taking the cost of 2 (90$) and dividing it by 2
Now just take the cost per notebook (45) and multiply it by the amount wanted (5) and your total should come out to $225
- Gage Millar, Algebra 2 Tutor
Answer:
$225 = 5 note books.
45 = 1 note book
Step-by-step explanation:
90/2 = $45 EACH
Unitary method means find 1 part first.
Therefore,
1 part = 45
45 x 5 = 225
$225 = 5 note books.
help with this immediately
x= 2
Step-by-step explanation:
The answer for what does x= is,
x = 2
Lines MN and GH are parallel. If the measure of angle 6 is 45°, what is measure of angle 4?
Answer: It will be A that is the best answers
Solve for x.
37°
8 cm
x = [?] cm
X
Round to the nearest hundredth.
X
The measure of side length x in the right triangle is approximately 6.03 cm.
What is the measure of side length x?The figure in the image is a right triangle having one of its interior angle at 90 degrees.
From the figure:
Angle θ = 37 degrees
Adjacent to angle θ = 8 cm
Opposite to angle θ = x
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( θ ) = opposite / adjacent
Plug in the given values and solve for x:
tan( 37 ) = x / 8
x = tan( 37 ) × 8
x = 6.03 cm
Therefore, the value of x is 6.03 cm.
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I need help I have to get this done by tomorrow
Answer:
204768
Step-by-step explanation:
You just need to multiply 3762 with 54
Which function has the same range as \(f(x)= - 2\sqrt{x} =-3 + 8\\\)
Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].
To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).
The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.
In other words, the range of f(x) is (-∞, 5].
So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.
Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.
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Your teacher asks the class to evaluate the expression (3³)¹. Your classmate gives an incorrect answer of 81. Evaluate the expression. Then find the likely error.
The most likely error is that, the student multiplied 27 by 3, after the first computation
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the error in the calculation?The expression is given as
(3^3)^1
As a general rule, we start by evaluating the expression in the inner bracket
So, we have
(3^3)^1 = (3 x 3 x 3)^1
Evaluate the products
So, we have
(3^3)^1 = (27)^1
Next, we evaluate the exponent
So, we have
(3^3)^1 = 27
The above implies that the value of the expression is 27 and not 81 as the student solved
The most likely error is that, the student multiplied 27 by 3, after the first computation
Hence, the value of the expression is 27 and not 81 and the most likely error is that, the student multiplied 27 by 3, after the first computation
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What is the radius of the circle if the area is 50π and the angle is 80 degrees?
15
1) Considering that the sector of a circle can be found through the proportion:
\(\begin{gathered} 360^{\circ}------\pi\cdot r^2 \\ 80^{\circ}------50\pi \\ 80\cdot\pi\cdot r^2=360\cdot50\pi \\ 80\pi r^2=18000\pi \\ r^2=\frac{18000\pi}{80\pi} \\ r^2=225 \\ \sqrt[]{r^2}=\sqrt[]{225} \\ r=15 \end{gathered}\)Note that, the area of a circle corresponds to 360º and 50pi to 80º in this question. The angle has been given in degrees.
2) SO, the measure of the radius is 15 units
please help.
definitions: 1. definition of right triangle
2. definition of isosceles TrianglesReflexive
3. HL
4. definition of perpendicular
5. CPCTC
6. reflexive
From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC
How to solve two column proof problems?The two column proof to show that ∠BAC ≅ ∠DAC is as follows:
Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD
Reason 1: Given
Statement 2: AB ≅ AD
Reason 2: Definition of isosceles Triangles
Statement 3: ∠1 and ∠2 are right angles
Reason 3: Definition of perpendicular
Statement 4: AC ≅ AC
Reason 4: Reflexive Property
Statement 5: ΔABC and ΔADC are right triangles
Reason 5: Definition of right triangle
Statement 6: ΔABC ≅ ΔADC
Reason 6: HL Congruency
Statement 7: ∠BAC ≅ ∠DAC
Reason 7: CPCTC
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The vectors v and w lie in the coordinate plane such that their initial points are at the origin. Vector v has a magnitude of 2 and direction of 45° North of East. Vector w has a magnitude of 2 and a direction of 45° South of East. What is the magnitude of the vector v+w?
The vector v+w has a magnitude of 2√2 and its direction is along the positive x-axis.
What is meant by vector?
A vector is a quantity that has both magnitude and direction. It is represented as an arrow with its length representing the magnitude and its direction representing the direction of the quantity.
What is meant by the x-axis?
The x-axis is the horizontal line on a coordinate plane that is used as a reference for plotting and describing the positions of points in two-dimensional space. It is often referred to as the "horizontal axis" or the "abscissa".
According to the given information
Here the vector v has a magnitude of 2 and a direction of 45° so the components of vector v are:
v_x = 2 cos 45° = √2
v_y = 2 sin 45° = √2
Vector w has a magnitude of 2 and a direction of 45° South of East. This means that the angle between vector w and the positive x-axis is 45°, and the angle between vector w and the negative y-axis is 45°. Therefore, the components of vector w are:
w_x = 2 cos 45° = √2
w_y = -2 sin 45° = -√2
Now we can add the components of vectors v and w to find the components of the vector v+w:
(v+w)_x = v_x + w_x = √2 + √2 = 2√2
(v+w)_y = v_y + w_y = √2 - √2 = 0
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Simplify your answer as much as possible.
By using the substitution method, we will see that the value of y is 23.
How to solve the system of equations?Here we have a system of linear equations, the system is:
y - x = 11
x = 12
The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:
y - 12 = 11
Now we can solve this for y, we will get:
y = 11 + 12
y = 23
That is the value of y.
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Write down the 3rd term in the sequence given by: T(n) = n2 + 4 pls explain how to do It plsss
Answer:
T(3) = 13
Step-by-step explanation:
If we are trying to find the 3rd term of this specific sequence, then we simply plug in 3 as n.
T(3) = (3)² + 4
T(3) = 9 + 4
T(3) = 13
However, this isn't proper notation for an arithmetic or geometric sequence.
Answer:
13
Step-by-step explanation:
T(n) = n² + 4
Put n as 3 to find the third term.
T(3) = (3)² + 4
Solve for the powers.
T(3) = 9 + 4
Add the terms.
T(3) = 13
Part F
What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?
THIS IS THE QUESTION I WANT YOU TO ANSWER PLEASE
The graph of the equations (y = 10x + 100), (y = 10x), and (y = 12.5x) can be drawn by using the rules of transformation.
Given :
y = 100 + 10x
y = 10x
y = 12.5x
The following steps can be used to sketch the graph of the given line
(y = 100 + 10x):
Step 1 -
First sketch the graph of (y = x).
Step 2 -
Then Multiply the x-axis by a factor of 10. The resulting graph is the graph of (y = 10x)
Step 3 -
Then find the y-intercept from the given equation. Then draw the line that passes through (0,100). The resulting line is the graph of
(y = 100 + 10x).
The following steps can be used to sketch the graph of the given line
(y = 10x):
Step 1 -
First sketch the graph of (y = x).
Step 2 -
Then Multiply the x-axis by a factor of 10. The resulting graph is the graph of (y = 10x)
The following steps can be used to sketch the graph of the given line
(y = 12.5x):
Step 1 -
First sketch the graph of (y = x).
Step 2 -
Then Multiply the x-axis by a factor of 12.5. The resulting graph is the graph of (y = 12.5x)
The graph of all the equations together is attached below.
Red line shows the graph of (y = 10x + 100).
Blue line shows the graph of (y = 10x)
Green line shows the graph of (y = 12.5x)
Complete Question:
Go to your math tools and open the Graph tool to graph Gwen's and Tristan's equations. Hint: To create the graph, select the correct relationship and then enter the values for the variables. You will need to change the scales for the x- and y-axes. When deciding the scale, ask yourself what x and y stand for, and what would be reasonable amounts for their minimum and maximums.
Do the two lines intersect? Why or why not? What does this mean in terms of the situation? If the lines intersect, at what point do they intersect
and what does this point mean in terms of the situation? Paste a screenshot of your graph in the space provided.
I just need help on graphing the equation I can take the screen shot my self. The equation for Gwen is Y = 100+10x
The equation for Kieth is Y = 10x
The equation for Tristan is Y = 12.5x
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Answer:guys like please the picture is down there just copy and paste and bro the answers in words are given stop ignoring experts
Step-by-step explanation:
The equation for Gwen is Y = 100+10x
The equation for Kieth is Y = 10x
The equation for Tristan is Y = 12.5x
credits to
jaiswaljyoti
Evaluate the expression
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Answer:
11
Step-by-step explanation:
Substituting the values of x, y, and z into the expression, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.
Answer:
11
Step-by-step explanation:
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Substituting the given values of x, y, and z, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.
BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).
Identify the terms coefficients and constant 6m + 8+4+3m
Answer:
Below
Step-by-step explanation:
6m + 8+4+3m <==== 6 and 3 are coefficients 8 and 4 are constants
9m + 12 <===== 9 is a coefficient 12 is a constant
Answer:
The coefficients are 6 and 3
The constants are 8 and 4
Step-by-step explanation:
coefficients are the numbers before the letters.
Constants do not have letters.
A: The perimeter of a rectangular garden is 376 m. If the length of the garden is 99 m, what is its width?
B: The area of a rectangular window is 7007 cm If the width of the window is 77 cm, what is his length?
Answer:
A) the width is 89
B) if area is 7007, the length is 91
Step-by-step explanation:
Answer:
A: 89 m
B: 91 m
Step-by-step explanation:
A: P=2(L+W)
P=2L+2W
P=2(99)+2W
2W=376-198=178
W=178/2=89m
B: A=L×W
7007=L×77
L=7007/77=91
L=9l m
Rewrite the following expression: x^-7
Suppose the diameter of a circle is 16 units. What is its circumference?
Use 3.14 for π and enter your answer as a decimal.
Answer: 50.24
Step-by-step explanation:
The formula to find the circumference of a circle is two pi r. So we just have substituted value into our formula. So we have To multiply by pi, so let's use 3.14 multiplied by our sequence to eight, so this is equal to 16, multiply by 3.14, which is equal to 50.24.
which is the right one???
Ston:A
ep-by-step explnswer:
anati
I need the answers for the table below.
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
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what’s the correct radical form of b^1/5
The correct radical form of b^1/5 is 5^√b.
What is the radical form?Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.
A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
Explanation:
Convert to radical form using the formula
a^x/n=n^√a^x
5^√b.
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Need help Asap please
Answer:
Summer for 9th Graders: 0.14
Fall for 10th Graders: 0.15
Spring overall total: 0.36
Summer overall total: 0.22
Fall overall total: 0.33
Winter overall total: 0.09
Step-by-step explanation:
Relative frequencies are related to percentages so you can find the answer through that given the total from each grade.
However, adding or subtracting makes the process easier (in my opinion) to find the relative frequency
How do I solve for x?
Answer:
x = 4.8
Step-by-step explanation:
Since quadrilateral JKLM and PQRS are similar toe ach other, therefore the ratio of their corresponding sides are equal.
Thus:
QP/KJ = PS/JM
Substitute
8/5 = x/3
Cross multiply
5*x = 3*8
5x = 24
x = 24/5
x = 4.8