The vertex of the parabola below is at the point (5, -3). Which of the equations
below could be the one for this parabola?-ہے
A. y=-3(x-5)^2-3
B. x=3(y-5)^2-3
C. x=3(y+3)^2+5
D. x=-3(y+3)^2+5
Answers
None of the available options match the parabola's equation.
Which might be the parabola's equation?To determine the equation of a parabola, we can utilize the vertex form. Assuming we can read the coordinates (h,k) from the graph, the aim is to utilize the coordinates of its vertex (maximum point, or minimum point), to formulate its equation in the form y=a(xh)2+k, and then to determine the value of the coefficient a.
A parabola's vertex form is given by:
\(y = a(x-h)^2 + k\)
where (h,k) is the parabola's vertex.
\(y = a(x-5)^2 - 3\)
These values are substituted into the equation to produce:
\(-15 = a(2-5)^2 - 3\)
\(-15 = 9a - 3\)
\(-12 = 9a\)
\(a = -4/3\)
\(y = (-4/3)(x-5)^2 - 3\)
This equation is expanded and simplified to produce:
\(y = (-4/3)x^2 + (32/3)x - 53\)
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Related Questions
4. a picture can be added to a text in nine different locations on a page. if four different pictures are to be placed in the text, how many different designs are there?
Answers
As per the combination method, there are 3,024 different designs that can be created with four different pictures placed in nine different locations on a page.
There are seven options for the third picture and six options for the fourth picture.
To determine the total number of designs, we can use the multiplication principle, which states that the number of ways two or more independent events can occur together is equal to the product of the number of ways each event can occur individually.
Therefore, the total number of designs that can be created by placing four different pictures in nine different locations on a page can be found by multiplying the number of options for each picture:
9 x 8 x 7 x 6 = 3,024
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-2(n+3) = -12
Solve each equation
Please explain the steps so i can also understand. thank you!
Answers
Answer:
3
Step-by-step explanation:
-2(n+3) = -12
-2n -6= -12
-2n = -12 +6
-2n = -6
2n =6
n =6/2
n is 3
Answer:
n = 3
Step-by-step explanation:
- Expand the numbers in the brackets
-2(n+3) = -12
-2n - 6 = -12
- Add 6 to both sides of the equation.
-2n = -6
- Divide both sides by -2 to isolate the n variable.
n = 3
The high school decided to buy new uniforms for the girls' and boys' basketball teams. They plan to buy 35 uniforms with a total cost of $1,235. The store offers discounts based on the number of items the school buys, as shown. What will the discounted price be for the high school?
Answers
Answer:
1049.75
Step-by-step explanation:
take 15% off of 1235 or 1235 divided by 15%
The discount will be 15% and the discounted price is $1049. 75
What is discount?A discount is a price reduction you offer a customer. There are also other methods that you can use to attract customers.
Given:
price for 35 uniforms = 1235
as, there is 15% discount for the items 25- 49 items.
So, there is 15% discount for 35 uniforms
Thus, the discounted price is
=1235 (1- 15%)
=1235 (1- 0.15)
=1235 x 0.85
= $1049. 75
Hence, the discounted price is $1049. 75.
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There are 31 fish in a tank. The fish are either orangr or red. There are 7 more orange fish than half the number of red fish. How many fish are orange? How many fish are red?
Answers
There are 19 orange fish and 12 red fish in the tank. This was found by setting up and solving a system of equations based on the given information.
We can set up a system of equations. Let x be the number of red fish in the tank. We know that the total number of fish is 31, so the number of orange fish must be 31 - x.
We also know that there are 7 more orange fish than half the number of red fish, which can be written as: 31 - x = 7 + 0.5x. Solving for x, we get: 1.5x = 24. x = 16
Hence, there are 16 red fish in the tank. To find the number of orange fish, we can substitute x = 16 into the equation we derived earlier: 31 - 16 = 15. 15 = 7 + 0.5(16). 15 = 15. Hence, there are 15 orange fish in the tank.
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Find the mean of the data in the dot plot below.
Answers
Answer:
2.5
Step-by-step explanation:
Add up all the numbers, then divide by the total amount of the numbers
1+2+3+4=10
10/4=2.5
Answer:
I think 2.5 years
Step-by-step explanation:
Since mean is the same thing as average,
I added them together
1+2+3+4 = 10
then divided by the amount of numbers there are
10÷4=2.5
I WILL GIVE BRAINLIEST PLS HELP!
Melissa and Jaime are playing a game in geometry class. Melissa draws the shape below on plain white paper and has to give Jaime directions to draw a congruent shape.
I. The location of each vertex on a coordinate plane
II. The shape is a triangle. Its two longest sides measure 6 inches and 3√3 inches.
III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches
Which of the following descriptions of Melissa's triangle is adequate for Jaime to draw a congruent shape?
Answers
Answer:
III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches
Step-by-step explanation:
It´s lll Because to make a congruent shape one angle should be 90 and the longest side should be 6 inches. one angle should equal angle ELM.
So, by AAS criteria it would be congruent.
---------------------------
hope it helps...
have a great day!!
Answer:
III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches
Step-by-step explanation:
hope it helps you...
manufacturer of automobile transmissions uses three different processes. management ordered a study of the production costs to see if there is a difference among the three processes. a summary of the findings is shown next. process 1 process 2 process 3 total process totals ($100s) 137 108 107 352 sample size 10 10 10 30 sum of squares 1,893 1,188 1,175 4,256 in an anova table, what are the total degrees of freedom?
Answers
The total degrees of freedom for this ANOVA table is 29. The total degrees of freedom for an ANOVA table related to the production costs of automobile transmissions using three different processes.
Here's a concise explanation using the provided data:
In an ANOVA table, the total degrees of freedom (DF) are calculated by summing the degrees of freedom between groups and the degrees of freedom within groups.
Degrees of freedom between groups (DFb) is calculated as the number of groups (processes) minus 1:
DFb = (3 processes) - 1 = 2
Degrees of freedom within groups (DFw) is calculated as the total sample size minus the number of groups:
DFw = (30 total samples) - (3 processes) = 27
Now, we can find the total degrees of freedom by adding DFb and DFw:
Total DF = DFb + DFw = 2 + 27 = 29
So, the total degrees of freedom for this ANOVA table is 29.
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76. 6 25. 5 10. 87 =
What wa Sela' etimate and what i the actual um of the number?
Answers
The estimate for the sum of the numbers is 230, and the actual sum of the numbers is 209.
To estimate the sum of the numbers, we can round each number to the nearest ten and then add them together. When rounding off to the nearest tens, we look at the number at the tenth position. If it is five and above, we round it off to the next nearest tens number and if it is below five, we round it off to the previous nearest tens number.
76 rounds to 80 since 6 is above 5
6 rounds to 10 since 6 is above 5
25 rounds to 30 since 5 is located at 5 and above interval
5 rounds to 10 since 5 is located at 5 and above interval
10 rounds to 10 since 0 is below 5
87 rounds to 90 since 7 is above 5
So, the estimate for the sum of the numbers is: 80 + 10 + 30 + 10 + 10 + 90 = 230
To find the actual sum of the numbers, we simply add them together without rounding:
76 + 6 + 25 + 5 + 10 + 87 = 209
The complete question is: 76. 6 25. 5 10. 87 =
What was Sela's estimate and what is the actual sum of the number?
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PLEASE SOLVE I WILL MARK BRAINLIEST HURRY PLEASE
Answers
Applying the Pythagorean theorem, the missing lengths in the right triangles are:
1. √19 ≈ 4.4
2. √96 ≈ 9.8
3. √60 ≈ 7.7
4. √231 ≈ 15.2
5. √21 ≈ 4.6
6. √24 ≈ 4.9
What is the Pythagorean Theorem?The Pythagorean theorem is a formula that can be used to find the leg of a right triangle, and is given as: c² = a² + b², where a and b are the smaller legs and c is the longest leg/hypotenuse.
1. missing leg = √(10² - 9²) = √19 ≈ 4.4
2. missing leg = √(11² - 5²) = √96 ≈ 9.8
3. missing leg = √(8² - 2²) = √60 ≈ 7.7
4. missing leg = √(16² - 5²) = √231 ≈ 15.2
5. missing leg = √(5² - 2²) = √21 ≈ 4.6
6. missing leg = √(7² - 5²) = √24 ≈ 4.9
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Find the quotient.
1,747 divided by 16
1,747 divided by 16 =?R?
Answers
Answer:
109.19
Step-by-step explanation:
\(\frac{1747}{16}\)= 109.1875
∴ R is 109.19
Assume tuition at Penn State cost $6,142 (per semester) in 2007 and $7,562 in 2012. If the price index was 207.34 in 2007 and 226 in 2012, then we could say:
Answers
Based on the given information, we can conclude that tuition at Penn State has increased more rapidly than inflation.
The price index measures the average change in prices of a basket of goods and services over time. In this case, the price index increased from 207.34 in 2007 to 226 in 2012, indicating an overall inflation rate of approximately 9% over that period. On the other hand, tuition at Penn State increased from $6,142 to $7,562, representing an increase of approximately 23%.
When comparing the rates of increase, we can see that tuition has outpaced inflation. This implies that the cost of education at Penn State has been rising more rapidly than the general increase in prices for goods and services. It suggests that factors specific to the education industry, such as rising costs of resources, facilities, and personnel, have contributed to the higher tuition rates.
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The complete question is:
Assume tuition at Penn State cost $6,142 (per semester) in 2007 and $7,562 in 2012. If the price index was 207.34 in 2007 and 226 in 2012, then we could say:
has increased more slowly than inflation.suffers from menu costs due to inflation,has increased more rapidly than inflation.has increased at about the same rate as inflation.is an inferior good.Dispersion Calculate the i) dispersion relation, as well as both the ii) group and iii) phase velocities for the following equation: 82y(x, t) 8t2 84y(x,t) = -2 8x4
Answers
i) The dispersion relation for the given equation is ± (v / 6) * k.
ii) The group velocity for the given equation is ± v / 6.
iii) The phase velocity is ± v / 6.
To find the dispersion relation, as well as the group and phase velocities for the given equation, let's start by rewriting the equation in a standard form:
82y(x, t) - 8\(t^2\) + 84y(x,t) = -2 * 8\(x^4\)
Simplifying the equation further:
8(2y(x, t) - \(t^2\) + 4y(x,t)) = -16\(x^4\)
Dividing both sides by 8:
2y(x, t) - \(t^2\) + 4y(x,t) = -2\(x^4\)
Rearranging the terms:
6y(x, t) = \(t^2\) - 2\(x^4\)
Now, we can identify the coefficients of the equation:
Coefficient of y(x, t): 6
Coefficient of \(t^2\): 1
Coefficient of \(x^4\): -2
(i) Dispersion Relation:
The dispersion relation relates the angular frequency (ω) to the wave number (k). To determine the dispersion relation, we need to find ω as a function of k.
The equation given is in the form:
6y(x, t) = \(t^2\) - 2\(x^4\)
Comparing this with the general wave equation:
A * y(x, t) = B * \(t^2\) - C * \(x^4\)
We can see that A = 6, B = 1, and C = 2.
Using the relation between angular frequency and wave number for a linear wave equation:
\(w^2\) = \(v^2\) * \(k^2\)
where ω is the angular frequency, v is the phase velocity, and k is the wave number.
In our case, since there is no coefficient multiplying the y(x, t) term, we can set A = 1.
\(w^2\) = (\(v^2\) / \(A^2\)) * \(k^2\)
Substituting the values, we get:
\(w^2\) = (\(v^2\) / 36) * \(k^2\)
Therefore, the dispersion relation for the given equation is:
ω = ± (v / 6) * k
(ii) Group Velocity:
The group velocity (\(v_g\)) represents the velocity at which the overall shape or envelope of the wave propagates. It can be determined by differentiating the dispersion relation with respect to k:
\(v_g\) = dω / dk
Differentiating ω = ± (v / 6) * k with respect to k, we get:
\(v_g\) = ± v / 6
So, the group velocity for the given equation is:
\(v_g\) = ± v / 6
(iii) Phase Velocity:
The phase velocity (\(v_p\)) represents the velocity at which the individual wave crests or troughs propagate. It can be calculated by dividing the angular frequency by the wave number:
\(v_p\) = ω / k
For our equation, substituting the dispersion relation ω = ± (v / 6) * k, we have:
\(v_p\) = (± (v / 6) * k) / k
\(v_p\) = ± v / 6
Therefore, the phase velocity for the given equation is:
\(v_p\) = ± v / 6
To summarize:
(i) The dispersion relation is ω = ± (v / 6) * k.
(ii) The group velocity is \(v_g\) = ± v / 6.
(iii) The phase velocity is \(v_p\) = ± v / 6.
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Sandra knows that the corresponding angles of two triangles are congruent. She claims that the two triangles must be congruent. Do you support or refute her claim? Why?
A
Helga is correct since three angles determine one unique triangle, so the two triangles must be congruent.
B
Helga is incorrect since the two triangles must also have congruent corresponding sides to be congruent.
C
Helga is correct since all that is needed to prove that triangles are congruent are two corresponding angles.
D
Helga is incorrect since only similar triangles, but not congruent triangles, have congruent corresponding angles.
Answers
The correct statement is option (C) Helga is correct since all that is needed to prove that triangles are congruent are two corresponding angles
Sandra knows that the corresponding angles of two triangles are congruent.
If the two triangles are said to be congruent then the shape and size of the two triangle will be equal.
Here two angles of the one triangle is equal to the two angles of the other triangle. We know that the sum of angle in a triangle is 180 degrees, therefore if two angle of the two triangles are equal then the third angle will be equal
If all three angles of the first triangle is equal to the three angles of the second triangle then the two triangle is said to be congruent
Therefore, the Helga is correct since all that is needed to prove that triangles are congruent are two corresponding angles
Hence, the correct statement is option (C) Helga is correct since all that is needed to prove that triangles are congruent are two corresponding angles
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-4x +11y =5
4x - 11y = -5
Answers
Answer:
Infinitely many solutionsKind Note:
This question is incomplete. You need to provide the question in order to get the best answer on brainly. In this answer, I will tell you how many solutions are in this system of equations.
Step-by-step explanation:
This question involves the use of 'system of equations'.
=> -4x + 11y = 54x - 11y = -5
=> (-4x + 4x) + (11y - 11y) = (5 - 5)=> 0 + 0 = 0=> 0 = 0Hence, this system of equations has infinitely many solutions.
Hoped this helped!
Answer: -4x +11y =5
4x - 11y = -5
Step-by-step explanation:
Find the union and the intersection of the given intervals I₁=(-2,2]; I₂=[1,5) Find the union of the given intervals. Select the correct choice below and, if necessary, fill in any answer boxes within your choice A. I₁ UI₂=(-2,5) (Type your answer in interval notation.) B. I₁ UI₂ = ø Find the intersection of the given intervals Select the correct choice below and, if necessary, fill in any answer boxes within your choice. A. I₁ ∩I₂ (Type your answer in interval notation) B. I₁ ∩I₂ = ø
Answers
To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.
The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:
I₁ U I₂ = (-2, 2] U [1, 5)
To find the union, we combine the intervals while considering their overlapping points:
I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)
So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).
Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:
I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)
To find the intersection, we consider the overlapping range between the two intervals:
I₁ ∩ I₂ = [1, 2]
Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].
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Find the surface area of each figure. Round your answers to the nearest tenth, if necessary.
Answers
Answer:
5: 52 m
6: 600 inches
7: 352 yards
8: 43 cm
Step-by-step explanation:
5: 5x5=25. 4x3/2=6. 5x3=15. 4x3/2=6
25+6+15+6=52
6: It is a cube that has 10 length sides. Each side's area is 10x10=100
There are 6 sides, so 6x100=600
7: Top and bottom: 8x8=64 (There are 2, one is top, one is bottom)
Sides (4 of them): 7x8=56
2(64)+4(56)=
128+224=
352
8: 4x3=12. 5x3/2=7.5. 5x3/2=7.5. 4x4=16.
12+7.5+7.5+16=
43 cm
Pls mark me brainliest if it helps :), have a very nice day/night!
Answer:
1. 254
2.100.8
Step-by-step explanation:
What is the value of x in the figure below?
Answers
Answer:
x = 125°
Step-by-step explanation:
180° - 55° = 125°
125°
If my answer is incorrect, pls correct me!
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-Chetan K
It is recommended to drink 8 glasses of water per day. A glass of water contains approximately 237 mL. If Carmelo drank 7 glasses, approximately how many liters of water did he drink?
H. 3,059 L
B. 16. 59L
C. 1,359 L
D. 1,659 L
Answers
Answer:
d Because I just took the test and got it right
Find the slope of a line parallel to 2x – 3y = 5 ?a. -2/3b. 2/3C. -3/2d. 3/2
Answers
Answer
Slope of the line is 2/3
Step-by-step explanation:
Given the slope-intercept equation
2x - 3y = 5
The standard form of the slope-intercept equation is
y = mx + b
where m = slope of the line
b = intercept of the y-axis
Rearrange the above equation
2x - 3y = 5
-3y = 5 - 2x
-3y = -2x + 5
Divide through by -3
-3y/-3 =-2x/-3 + (5/-3)
y = 2x/3 - 5/3
Hence, the slope of the line is 2/3
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite directior
The number b varies directly with the number a. For example b
22 whena=-2Which equation represents this
direct variation between a and b?
Ob=-a
Ob--a
Ob-a=0
O b-a) =0
Answers
Answer:
b=-a
Step-by-step explanation:
Becaude when b is positive a will be negative
And when b is negative a will be positive.
dani rode her bike for 10 hours a day for 8 days . in this time she covered 576 miles. how many miles per day day did did dani average
Answers
Answer:
72 miles per day
Step-by-step explanation:
Step one data
we are told that Dani rode for 10 hours per day for 8 days
hence per day, the time taken is = 10 hours
Also,
Hence the average distance covered per day is
=total number of miles/total number of days
=576/8= 72 miles per day
what is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations? (round your answer to three decimal places.)
Answers
0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations
To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.
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I have the answers I just need someone to work it out I’ll mark as brainlesttt
Answers
Answer:
Look Below
Step-by-step explanation:
The formula for a circle is πr².
Therefore, we can divide the area of the circle by 3.14, and then square root it. 490.63/3.14=156.25... If you square root that, you get 12.5. Same thing with the other circle. 219.45/3.14=69.888... If you square root that, you get 8.36. Now that we have the radius, we can multiply that by two to find the diameter. And we're done.
Feel free to tell me if I did anything wrong! :)
3.We-Haul rents a moving truck for 20.00$.and 0.45$.per mile. You-Haul rents the same size moving truck for 1.00$.per mile but with no upfront charge.
Part A:Write two equations to represent the situation.
Part B:What is the rate of change for each? What do they represent?
Part C: Whatdo the -intercepts of each line represent?
Part D: Use the substitution method to help the renter determine when the two truck rentals will cost the same amount.
Answers
Answer:
$20.45
Step-by-step explanation:
Multiply 1 1/3 * 1 3/4
Answers
Answer:
2 1/3
Step-by-step explanation:
define the linear transformation t : rn →rm by t (v) = av. (a) find the dimensions of rn and rm, (b) find t (1, 2, 3, −1), and (c) find the preimageof (3, −6, 12
Answers
The linear transformation t: R^n → R^m defined by t(v) = av has dimensions n and m for the vector spaces R^n and R^m, respectively. In other words, n represents the number of components in the input vector v, while m represents the number of components in the output vector av.
To find t(1, 2, 3, -1), we multiply the input vector by the scalar a. To find the preimage of (3, -6, 12), we need to find the vector v in R^n such that t(v) = (3, -6, 12).
(a) The dimensions of R^n and R^m represent the number of components in the vectors of those spaces. For R^n, the dimension is n, and for R^m, the dimension is m.
(b) To find t(1, 2, 3, -1), we multiply the input vector (1, 2, 3, -1) by the scalar a. The result is av, where each component is obtained by multiplying the corresponding component of the input vector by a.
(c) To find the preimage of (3, -6, 12), we need to find the vector v in R^n such that t(v) = (3, -6, 12). This means we need to find a vector v such that av = (3, -6, 12). To solve for v, we divide each component of the output vector by the scalar a, resulting in v = (3/a, -6/a, 12/a).
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Nancy hits golf balls off the practice tee with an initial velocity of 180 ft/sec with four different clubs. How far down the fairway does the ball hit the ground if it comes off the club making the specified angle with the horizontal? (a) 15
(b) 20
(c) 25
(d) 30
Answers
Based on these observations, option (d) 30 seems to be the most reasonable choice for a longer distance down the fairway.
To determine how far down the fairway the ball hits the ground, we need to consider the horizontal range of the golf ball. The range is the horizontal distance traveled by the ball before it hits the ground.
The range can be calculated using the formula:
Range = (Initial Velocity)² * sin(2 * Launch Angle) / g
Where:
Initial Velocity is the initial velocity of the golf ball (180 ft/sec).
Launch Angle is the angle at which the ball is hit off the tee.
g is the acceleration due to gravity (approximately 32.2 ft/sec²).
Since you haven't provided the launch angle for each club, we cannot determine the exact range for each one. However, we can make some general observations based on the given answer choices:
(a) 15: This option implies a lower launch angle, which would likely result in a shorter range.
(b) 20: Similar to option (a), a lower launch angle would generally result in a shorter range.
(c) 25: This option suggests a moderate launch angle, which could correspond to a reasonable range.
(d) 30: A higher launch angle typically leads to a longer range, so this option may result in a greater distance.
Based on these observations, option (d) 30 seems to be the most reasonable choice for a longer distance down the fairway.
However, without specific launch angles for each club, we cannot determine the exact answer.
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The real estate term lake frontage refers to the distance along the edge of a piece of property that touches a lake.
a. Find the lake frontage ( to the nearest tenth) of each lot shown.
b. In general, the more lake frontage a lot has, the higher its selling price. Which lot(s) should be listed for the highest price?
c. Suppose that lot prices are in the same ratio as lake frontages. If the least expensive lot is $250,000 what are the prices of the other lots? Explain your reasoning.
Answers
Part a) The lake frontage of lot A is 50.9 yd
Part b) The lake frontage of lot B is 58.4 yd
Part c) The lake frontage of lot C is 64.7 yd
Part d) The prices of the other lots, from least to greatest, are $286, 836.94 and $317,779.96
we know that
If two figures are similar, then the ratios of its corresponding sides is equal
Find the lake frontage (to the nearest tenth) of each lot shown
we have that
174/(48+55+61) = A/48 = B/55 = C/61
174/164 = A/48 = B/55 = C/61
step 1
leak frontage of lot A
174/164 = A/48
A = 174 × 48/164 = 50.9 yd
Step 2
leak frontage of lot B
174/164 = B/55
A = 174 × 55/164 = 58.4 yd
step 3:
leak frontage of lot C
174/164 = C/61
A = 174 × 61/164 = 64.7 yd
step 4:
the prices of other lots = ?
we know that the price of the lot A is $250,000
so by proportion:
250,000/50.9 = $B/58.4
B = 250,000 × 58.4/50.9
= $286,836.94
250,000/50.9 = $C/64.7
C = 250,000 × 64.7/50.9
= $317,779.96
The prices of the other lots, from least to greatest, are $286,836.94 and
$317,779.96
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Use the image below to get the measure of ∠w
Answers
Answer:49
Step-by-step explanation:
What is the value of pi based on the equation for the best-fit line?.
Answers
The line of best fit is used to illustrate a linear regression.
The value of pi based on the equation for the best-fit line is 3.0017
How to determine the value of piThe equation of the line of best fit is given as:
\(C = 3.0017 D + 0.3268\)
Where:
C represents the circumferenceD represents the diameterThe circumference of a circle is calculated as:
\(C = \pi D + k\)
Where k represents a constant.
By comparison, we have:
\(\pi D = 3.0017D\)
Cancel out D
\(\pi = 3.0017\)
Hence, the value of pi is 3.0017
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