Answer:
Length = 14 inches
Width = 3 inches
Step-by-step explanation:
length * width = area
(x + 8 ) (x - 3) = 42
Use FOIL method
x*x - x*3 + 8*x - 8*3 = 42
x² -3x + 8x - 24 = 42
x² + 5x - 24 - 42 = 0
x² + 5x - 66 = 0
Sum = 5
Product = 66
Factors = 11 , (-6)
x² + 5x -66 = 0
x² + 11x - 6x - 6*11 =0
x(x + 11) - 6(x + 11) = 0
(x + 11) (x -6) = 0
x + 11 is ignored because length and width will not have negative value.
x - 6 = 0
x = 6
Length = x + 8 = 6 + 8 = 14 inches
Width = x - 3 = 6 - 3 = 3 inches
Problem
Find the mean absolute deviation (MAD) of the data in the dot plot below.
goals
22
23
23
24
25
26
27
27
Number of goals
Lottie's lacrosse scoring
in each season
Answer:
1.6 is the answer
Hope this helped!
The requried mean absolute deviation is given as 1.625.
What is Statistic?The statistic is the study of mathematics which deal with relations between comprehensive data.
Here,
Average of the given number = 25 + 23 + 23 + 24 + 25 + 26 + 27 +27 / 8
= 197 / 8
Average = 24.625
mean absolute deviation (MAD) = 1/n ∑[xi - average]
mean absolute deviation (MAD) = [|22 - 24.625| + |23 - 24.625|+|23 - 24.625|+|24 - 24.625|+|25 - 24.625|+|26 - 24.625|+|27 - 24.625|+|27 - 24.625|]/8
mean absolute deviation (MAD) = [2.625+1.625+1.625+0.625+0.375+1.375+2.375+2.375]/8
mean absolute deviation (MAD) = 13 / 8 = 1.625
Thus, the requried mean absolute deviation is given as 1.625.
Learn more about Statistics here:
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|BRAINLIEST|
Evan mixed orange honey and blueberry honey to make 1/5 liter of a honey mixture. Evan then poured an equal amount of his honey mixture into each of 3 jars. All of Evan's mixture went into the jars.
How much honey was in each jar?
1/15 L
1/5 L
3/5 L
3/10 L
Answer:
3/5 L
Step-by-step explanation:
Find the HCF of
9rºy& 3y2
Answer:
Step-by-step explanation:
hello :
9rºy=9y =3y×3
3y² = 3y ×y
HCF of
9rºy& 3y2 : 3y
Answer:
9rºy=9y =3y×3
3y² = 3y ×y
so...
HCF of
9rºy& 3y2 : 3y
Hope It Helps :)
9. According to your model, what price should you charge to maximize profit? Explain how
you know this is the best price. (Hint: Remember that x represents change in price from $22,
not price) (3 points: 1 point for price and 2 points for explanation)
Final answer:
To maximize profit, a monopolist sets the price at the highest level consumers are willing to pay for the profit-maximizing quantity of output, found where the marginal revenue curve intersects the demand curve. This ensures significant profits are realized, as seen when comparing total revenues and total costs.
Explanation:
Maximizing Profit Through Price Setting
To determine the price to maximize profit in a monopoly, we need to understand the relationship between the monopolist's pricing strategy and their profit-maximizing output level. According to the model provided, we know that the profit-maximizing price is not directly given but can be deduced by knowing that x represents the change in price from an initial price, often the base price of $22 in a given scenario. To find the optimal price, a monopolist will look at the profit-maximizing quantity of output first, which is found at the point where marginal revenue equals marginal cost.
Once they have that quantity, they will determine the price consumers are willing to pay by extending a line up from this quantity to intersect the demand curve on a graph (referred to as the 'dotted line'). The intersection on the demand curve represents the highest price consumers are willing to pay for that quantity of goods, which is the optimal price. For example, if the model shows 5 units as the profit-maximizing quantity and the average cost for producing the units is $330, then the firm would charge $800 per unit, since it's the market Willingness to pay as shown in the demand curve, leading to total revenues of 5 x $800 = $4000, with profits calculated as $4000 - (5 x $330 = $1650) = $2350. A monopolist can sustain such profits due to barriers that protect its market from entry by competitors.
Therefore, the best price to charge in order to maximize profit is one that corresponds to this profit-maximizing output on the firm's demand curve, which is above the average cost and allows the firm to realize significant profits.
Which is the equation of an ellipse centered at the origin with endpoints of Major and minor axes at: (0,-7), (0,7), (-3,0), (3,0)
Answer:x2/9+y2/49=1
Step-by-step explanation:
Plot √2 and √3 on the number line.
Which statements are true? Check all that apply.
StartRoot 2 EndRoot < 2
StartRoot 2 EndRoot < StartRoot 3 EndRoot
StartRoot 2 EndRoot > 1.5
StartRoot 3 EndRoot < 3
StartRoot 2 EndRoot is about 0.5 less than StartRoot 3 EndRoot.
StartRoot 3 EndRoot is about 0.3 greater than StartRoot 2 EndRoot.
Answer:
The statements (1), (2), (4) and (6) are true.
Step-by-step explanation:
Consider the diagram below for the number line.
The first statement is: [tex]\sqrt{2}<2[/tex]From the number line it is clear that the above statement is true.
The second statement is: [tex]\sqrt{2}<\sqrt{3}[/tex]From the number line it is clear that the above statement is true.
The third statement is: [tex]\sqrt{2}>1.5[/tex]The value of √2 is 1.414. This value is less than 1.5.
So, the above statement is false.
The fourth statement is: [tex]\sqrt{3}<3[/tex]From the number line it is clear that the above statement is true.
The fifth statement is: [tex]\sqrt{2}=\sqrt{3}-0.5[/tex]The value of √3 is 1.732. The difference between √2 and √3 is, 0.318.
Thus, the above statement is false.
The sixth statement is: [tex]\sqrt{3}=\sqrt{2}+0.3[/tex]The value of √3 is 1.732. The difference between √2 and √3 is, 0.318.
Implying, √3 = √2 + 0.318.
⇒√3 = √2 + 0.3
Thus, the above statement is true.
1,2,4,6 are the correct options.
Two lines going the exact same way that will never intersect are?
A.Triangles
B.Vertical Lines
C.Angles
D.Parallel Lines
HELP PLZZ
Answer:
These lines are parallel!
Step-by-step explanation:
So D, parallel lines :)
2. A museum has an admission fee of $14 and averages 300 visitors per day. The museum board
decides to raise the fee. Research indicates that for every $1 increase, there would be 10 fewer
visitors per day. Keeping this in mind, the museum committee has found an equation that
represents revenue compared to the number of $1 increases. This relationship can be modeled by
the function: R= -10x2 + 160x + 4200, where R represents total revenue and x represents the
number of $1 increases above the starting fee of $14.
a) What is the maximum revenue possible for the museum?
b) How many $1 ticket increases will give the museum this maximum revenue?
c) What is the museum's revenue if they do not increase their fee?
Answer:
The answer to the questions asked is:
a) The maximum possible income for the museum is $4,840 per day.
b) The increase you must make to obtain the maximum income is $8 per ticket.
c) The income of the museum without increasing the fee is $4200.
Step-by-step explanation:
To solve all the questions asked, we must take into account the provided equation:
R = -10x2 + 160x + 4200The first question asks for the maximum income, that is, the maximum amount of money that can be obtained by making increases in the rate, despite the loss of people, so you must replace the X in the equation with values until instead of increase decrease:
R = -10 (1) 2 + 160 (1) + 4200 = 4350 R = -10 (2) 2 + 160 (2) + 4200 = 4480 R = -10 (3) 2 + 160 (3) + 4200 = 4590 R = -10 (4) 2 + 160 (4) + 4200 = 4680 R = -10 (5) 2 + 160 (5) + 4200 = 4750 R = -10 (6) 2 + 160 (6) + 4200 = 4800 R = -10 (7) 2 + 160 (7) + 4200 = 4830 R = -10 (8) 2 + 160 (8) + 4200 = 4840 R = -10 (9) 2 + 160 (9) + 4200 = 4830As you can see, when the increase is $9, the income falls, so the maximum income is $4,840, while it can be seen that it occurs with an increase of $8, which answers the second question.
For the third question, that is, the income of the museum without increasing the fee, you must remember that the variable X is the increase in the fee, therefore, if you want to obtain the income without an increase, it must be given a value of zero to the variable inside the equation, with which we obtain:
R = -10 (0) 2 + 160 (0) + 4200 = 4200Write the vertex form equivalent of 3x^2-30x+73=y
Answer:
(5,-2) or y=3(x-5)^2 -2
Step-by-step explanation:
??? Idk how to do thus
Answer:
(-17)³
..........
Solve for X 3 (x+1)=9
Answer:
x=2
Step-by-step explanation:
3(x+1)=9
3x+3=9
3x=6
x=2
Lines a and b are parallel. What is the value of x?
1) 15
2) 16
3) 56
4) 64
Answer:
2) 16
Step-by-step explanation:
180 - 124 = 56
180 - 56 - 60 = 64
64 ÷ 4 = 16
x = 16
Answer:
yes it is B: 6
Step-by-step explanation:
hope this helps! have a nice day
compare 0.02 to 0.020
Answer:
They are the same.
Step-by-step explanation:Does not matter how many zeros you add it will be the same value.
0.02 to 0.020 both are the same it does not matter how many zeros you add it will be the same value.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
Expanding into fractions 0.02 to 0.020, add zeros
2/100 and 2/100
They both are the same it does not matter how many zeros you add it will be the same value.
Learn more about fractions;
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Find the surface area of the pyramid
Answer:
2100
Step-by-step explanation:
Surface area is the area of all the sides
The area of the rectangular base is W x L = 30 x 30 = 900
Then to find the area of the triangles its [tex]\frac{1}{2}[/tex]bh
A = [tex]\frac{1}{2}[/tex] 30 x 20
A = [tex]\frac{1}{2}[/tex] 600
A = 300
Since there are 4 triangle faces on a pyramid we times 300 x 4 = 1200 is the area of all the triangles
Then we add the area's
1200 + 900 = 2100
Sorry if its wrong
Look at the following model.What is incorrect in the model?
What is the probability that a number less than 6 is rolled on a number cube?
Answer:
1/6 or 1 out of 6
Step-by-step explanation:
help me please
will give best awnser
Guacamole = 18
Avocado = 6
Lime = 1
Salt = 9
Jalapeno = 3
Maria drops a hammer from an apartment that is 30 meters above the ground. The
height of the hammer in meters, h, after t seconds is modeled by the function
h(t) = -t - 2t + 30. Find the approximate number of seconds it will take for the
hammer to hit the ground. Round your answer to the nearest whole number.
A.0
B.5
C.10
D.30
Answer:
C. 10 s.
Step-by-step explanation:
When the hammer reaches the ground the height is 0 m, so:
-t - 2t + 30 = 0
-3t = -30
t = -30/-3
= 10 seconds.
Help :) ill mark as brainliest.
Answer:
C. 3,386,880 yd^3
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
At a carnival, $2,914.25 in receipts were taken at the end of the day. The cost of a child’s ticket was $20.50, an adult ticket was $29.75, and a senior citizen ticket was $15.25. There were twice as many senior citizens as adults in attendance, and 20 more children than senior citizens. How many children, adult, and senior citizen tickets were sold?
Answer:
"x" children tickets are 70, "y" adult tickets 50 and "z" senior citizen tickets 25
Step-by-step explanation:
With the information of the statement we can pose the following equations:
we have to "x" children tickets, "y" adult tickets and "z" senior citizen tickets.
20.5*x + 29.75*y + 15.25*z = 2914.25
we also have to:
z = 2*y
plus that:
x = z + 20, replacing, we have left:
x = 2*y + 20
now, we replace each other in the main equation:
20.5*( 2*y + 20) + 29.75*y + 15.25*(2*y) = 2914.25
41*y + 410 + 29.75*y + 30.5*y = 2914.25
101.25*y = 2504.25
y = 2504.25/101.25
y = 24.73
z= 2*24.73 = 49.46
x = 2*24.73 + 20
x = 69.46
"x" children tickets are 70, "y" adult tickets 50 and "z" senior citizen tickets 25
Answer:
Children tickets = 69.4667
Adult tickets = 24.7333
Senior tickets = 49.4667
(The decimal does not make sense as we cannot have a fractional amount of tickets, but with the information given, this is the correct answer)
Step-by-step explanation:
Let's call the amount of children C, the amount of adults A and the amount of seniors S. Then, we can write the following system of equations:
C*20.5 + A*29.75 + S*15.25 = 2914.25 (eq1)
S = 2*A (eq2)
C = S + 20 (eq3)
Using eq2 in eq3, we have:
C = 2*A + 20 (eq4)
Using eq2 and eq4 in eq1, we have:
(2*A + 20)*20.5 + A*29.75 + 2*A*15.25 = 2914.25
41*A + 410 + 29.75*A + 30.5*A= 2914.25
101.25*A = 2504.25
A = 2504.25 / 101.25 = 24.7333
Now using eq2, we have:
S = 2*A = 49.4667
And using eq4, we have:
C = 2*A + 20 = 69.4667
(The decimal does not make sense as we cannot have a fractional amount of tickets, but with the information given, this is the correct answer)
0.86 ? 0.140
A.>
B.=
C.<
Answer:
i think its a.
Step-by-step explanation:
What is the value of x?
A;108
B;72
C;18
D;36
The value of x is 36°.
Given Information:
- The angle at the top of the star is labeled [tex]\(72^\circ\).[/tex]
- There is an angle labeled BFC on line AFC.
Angle Sum Property:
- The sum of the angles formed on a line is [tex]\(180^\circ\).[/tex]
Equation Setup:
- The angles BFC and [tex]\(72^\circ\)[/tex] are part of the line AFC.
- So, [tex]\(BFC + 72^\circ = 180^\circ\).[/tex]
Isolate the Unknown Angle:
- Subtract [tex]\(72^\circ\)[/tex] from both sides of the equation:
[tex]\[BFC = 180^\circ - 72^\circ\].[/tex]
Expression for BFC:
- Simplify the expression to find the measure of BFC:
[tex]\[BFC = 108^\circ\].[/tex]
6. Variable x:
- The angle BFC is expressed in terms of x: BFC = 3x.
Equation Setup for x:
- Set 3x equal to the known value of BFC:
[tex]\[3x = 108^\circ\].[/tex]
Solve for x:
- Divide both sides by 3:
[tex]\[x = \frac{108^\circ}{3} = 36^\circ\].[/tex]
Therefore, the value of [tex]\(x\) is \(36^\circ\).[/tex]
Plzzzz someone help me 30 points
HELP PLEASE!!!Describe the change in the graph of the parabola f(x) when it transforms into g(x) =1/2f(x)
The parabola g(x) will open in the opposite direction of f(x), and the parabola will be narrower than f(x).
The parabola g(x) will open in the same direction of f(x), and the parabola will be narrower than f(x).
The parabola g(x) will open in the opposite direction of f(x), and the parabola will be wider than f(x).
The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).
Answer:
D
Step-by-step explanation:
These are transformations. One thing to remember is that only a sign change (like a negative sign on the new function) will change the direction in which the parabola opens.
Here, going from f(x) to 1/2 * f(x) has no sign change, so the parabola will open in the same direction as before. Eliminate A and C.
Vertical transformations are those that are done to the entire function, as opposed to horizontal transformations which are done only on the x. Here, since we're multiplying 1/2 to f(x), we have a vertical transformation.
There are different transformations. The one here would be a vertical shrink by a factor of 1/2. Vertically shrinking a function is basically the same as compressing it, which would make it wider.
The answer is thus D.
Answer:
Last one:
The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).
Step-by-step explanation:
g(x) = ½f(x)
g(x) is obtained by a vertical stretch of f(x) by factor ½ (compression)
g(x) would look like f(x), would just be wider
A store is giving out cards labeled 1 through 10 when customers enter the store. If the card is an even number, you get a 10% discount on your purchase that day. If the card is an odd number greater than 6, you get a 40% discount. Otherwise, you get a 20% discount. The table shows the results of 400 customers. What is the relative frequency for each discount? Use pencil and paper. If the manager of the store wants approximately half of the customers to receive the 20% discount, does this seem like an appropriate method? Explain.
Answer:
Step-by-step explanation:
The answer was :0.496
Trina and Seth walk 3 miles south and 5 miles east to get from their canoe to their tent. If a walkway existed between the canoe and tent, how far would they then haveto walk? Round to the nearest mile. (PLEASE SHOW WORK!!)
Answer:
6 miles
Step-by-step explanation:
The formula to find the hypotenuse of a right triangle is as follows,
[tex]\sqrt{a^{2} } +b^{2}[/tex]
The line is supposed to be longer on the rooting but it won't go any longer so we just have to make do.
Anyways, a is 1 side length and b is the other. Doesn't matter which one you make b or a.
Now you just plug in and solve
[tex]\sqrt{9} +25[/tex] (that's after you square it)
add them
[tex]\sqrt{34}[/tex]
simplify
5.83095189485
you can just stop at the hundredths place
5.83
You can estimate that it's about 6
and 6 is your answer
4x – 3y = 8 5x – 2y = -11 elimination
Answer:
x=-7 and y=-12
Step-by-step explanation:
Which two of the objects shown below could we slice diagonal to their bases/faces to create ellipse cross-
sections that aren't circles)?
Choose 2 answers:
Cone and cylinder are two of the objects shown below could we slice diagonal to their bases/faces to create an ellipse cross-section.
What is an ellipse?The asymmetrical oval shape is drawn by a spot advancing along a plane so that the sum of its distance from foci is kept the same, known as an ellipse.
A circle is created by cutting at a right angle to the axis. An ellipse is created by cutting at an angle that is more than the angle created by the side of the cone but less than the right angle to the axis.
Every plane that a circular cylinder cross is at a straight angle to its axis. The cylinder is intersected in a curve that resembles an ellipse by a plane that is neither parallel to nor at right angles to the axis.
Hence, cone and cylinder are two of the objects shown below could we slice diagonal to their bases/faces to create an ellipse cross-section.
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Mailboxes in the shape of a prism. The area of the base is 52 in.² and the height is 18 inches what is the volume of the mailbox
Answer:
936in squared
Step-by-step explanation:
Answer:
936 inches squared
Step-by-step explanation:
Helpppppp mmmeeeee please need fast
Answer:
9/5
Step-by-step explanation:
The scale factor is what do we multiply A by to get B
Take the ratio of B/A
18/10
9/5
The scale factor is 9/5