A point P has coordinates (-8, -2). What are its new coordinates after reflecting point P across the x-axis?
Answer:
(-8,2)
Step-by-step explanation:
This is because when you reflect a point across the x-axis, the x-coordinate fo the point remains the same and the y-coordinate's sign gets switched.
(x,y) --> (x,-y)
(-8,-2) --> (-8,2)
Solve for a. Show your work (ALL steps must be shown): 3(a+3)+6=30
Answer:
a = 5
Step-by-step explanation:
3(a+3)+6 = 30
subtract 6 from both sides
3(a+3) = 24
divide both sides by 3
a+3 = 8
subtract 3 from both sides
a = 5
Match each value with its formula for ABC.
The solution to the question is:
c is 6 = \(\sqrt{a^{2} + b^{2} -2abcosC }\)
b is 5 = \(\sqrt{a^{2} + c^{2} -2accosB }\)
cosB is 2 = \(\frac{a^{2} + c^{2} - b^{2} }{2ac}\)
a is 4 = \(\sqrt{b^{2} + c^{2} -2bccosA }\)
cosA is 3 = \(\frac{b^{2} + c^{2} -a^{2} }{2bc}\)
cosC is 1 = \(\frac{b^{2} + a^{2} - c^{2} }{2ab}\)
What is cosine rule?it is used to relate the three sides of a triangle with the angle facing one of its sides.
The square of the side facing the included angle is equal to the some of the squares of the other sides and the product of twice the other two sides and the cosine of the included angle.
Analysis:
If c is the side facing the included angle C, then
\(c^{2}\) = \(a^{2}\) + \(b^{2}\) -2ab cos C-----------------1
then c = \(\sqrt{a^{2} + b^{2} -2abcosC }\)
if b is the side facing the included angle B, then
\(b^{2}\) = \(a^{2}\) + \(c^{2}\) -2accosB-----------------2
b = \(\sqrt{a^{2} + c^{2} -2accosB }\)
from equation 2, make cosB the subject of equation
2ac cosB = \(a^{2}\) + \(c^{2}\) - \(b^{2}\)
cosB = \(\frac{a^{2} + c^{2} - b^{2} }{2ac}\)
if a is the side facing the included angle A, then
\(a^{2}\) = \(b^{2}\) + \(c^{2}\) -2bccosA--------------------3
a = \(\sqrt{b^{2} + c^{2} -2bccosA }\)
from equation 3, making cosA subject of the equation
2bcosA = \(b^{2}\) + \(c^{2}\) - \(a^{2}\)
cosA = \(\frac{b^{2} + c^{2} -a^{2} }{2bc}\)
from equation 1, making cos C the subject
2abcosC = \(b^{2}\) + \(a^{2}\) - \(c^{2}\)
cos C = \(\frac{b^{2} + a^{2} - c^{2} }{2ab}\)
In conclusion,
c is 6 = \(\sqrt{a^{2} + b^{2} -2abcosC }\)
b is 5 = \(\sqrt{a^{2} + c^{2} -2accosB }\)
cosB is 2 = \(\frac{a^{2} + c^{2} - b^{2} }{2ac}\)
a is 4 = \(\sqrt{b^{2} + c^{2} -2bccosA }\)
cosA is 3 = \(\frac{b^{2} + c^{2} -a^{2} }{2bc}\)
cosC is 1 = \(\frac{b^{2} + a^{2} - c^{2} }{2ab}\)
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Find the ratio of men to women in a bowling league containing 12 men and 8 women. Write in lowest terms
Answer:
\(\frac{3}{2}\)
Step-by-step explanation:
Divide the top and bottom on the fraction by 4
Find the circumference of this circle
using 3 for T.
C = ?
Answer:
72
Step-by-step explanation:
C = pi* d
pi= 3 (given in the problem)
d=24(the diameter is given in the picture)
C= 3*24 = 72
question is in picture above^^
Answer:
ca = 14
Step-by-step explanation:
Study the outcrops of the Mesozoic (green) and Cenozoic (yellow) rocks in the map area. What structures are indicated by these map patterns
The structures indicated by the map patterns of Mesozoic (green) and Cenozoic (yellow) rocks can provide insights into the geological history and tectonic activity of the area.
The presence of linear or curvilinear patterns in the map may suggest the occurrence of faults or fractures in the rocks. Faults are fractures along which rocks on either side have moved relative to each other. These structures can be associated with the movement of tectonic plates and the deformation of the Earth's crust.
Additionally, the map patterns may reveal the presence of folds in the rocks. Folds are bending or flexing of rock layers caused by compressional forces in the Earth's crust. They can result in the formation of anticlines (upward folds) and synclines (downward folds) that can be observed in the map patterns.
The interpretation of the map patterns in terms of specific structures requires careful analysis and additional geological data. Field observations, cross-sections, and geophysical techniques are often employed to gain a better understanding of the geological structures present in the area.
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A Zoo Has a Elephant to giraffe ratio of 1 to 5. There are 18 Total animals. How many are giraffes? (Please Answer Quickly i really need this!!!)
There are 15 giraffes in the zoo.
Let the Elephant be E.Let the Giraffe be G.Given the following data:
Total animals = 18 animalsRatio of E to G = 1:5 Total ratio= 1 + 5 = 6To find how many of the animals are giraffes:
\(G = \frac{Ratio \; of \; giraffe}{Total \; ratio}\) × \(Total \; animals\)
Substituting the values, we have;
\(G = \frac{5}{6}\) × \(18\)
\(G = \frac{90}{6}\)
Giraffe, G = 15 giraffes
Therefore, there are 15 giraffes in the zoo.
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Use the data tab of the graphing tool to display the data from Luther’s table in a scatter plot, with x representing the number of pitches thrown and y representing the average speed of the pitches. Select the relationship tab to add the best fit linear function to the graph.
What are the equation of the line of best fit and the absolute value of the correlation coefficient?
line of best fit: y = x +
|correlation coefficient| =
The equation of the line of best fit is y = 0.2365x + 66.134, and the absolute value of the correlation coefficient is 0.197.
Given, the relationship between number of pitches and the average speed of the pitches can be shown through a scatter plot as follows. Using the given data, the scatter plot is shown below: From the graph, we observe that the points form a somewhat linear pattern.
Thus, we can add a line of best fit to the graph to understand the relationship between the two variables better. To determine the line of best fit, we will use the linear regression tool on the graphing calculator. For that, we need to select the “Relationship” tab and then select “Linear Regression” from the drop-down menu.
The equation of the line of best fit and the absolute value of the correlation coefficient are given as follows. Line of best fit: y = 0.2365x + 66.134|Correlation Coefficient| = 0.197. Therefore, the equation of the line of best fit is y = 0.2365x + 66.134, and the absolute value of the correlation coefficient is 0.197.
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(9,−7) after a dilation by a scale factor of 4 centered at the origin?
The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:
Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).
In conclusion, the coordinates of the image after a dilation are (36, -28).
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Please Help! ASAP. Will give Brainliest
Answer:
3 Not too sure though
Step-by-step explanation:
don't input my answer, i'm not too sure!
6) A TV and external speakers cost $1,020. The cost of the TV is double that of the speakers.
How much do the TV and the speakers cost? Show your work.
convert -:
1.4*10^9 km^3 to m^3
Answer:
1.4×10¹⁸ m³
Step-by-step explanation:
You want 1.4×10⁹ km³ expressed in terms of m³.
Conversion1 km = 10³ m. Substituting that value for km in the given expression, we find the volume is ...
1.4×10⁹ km³ = 1.4×10⁹×(10³ m)³ = 1.4×10¹⁸ m³
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Therefore, The given value of 1.4 × 109 km3 is converted into m3 by multiplying it with the conversion factor of (109 m3/km3), which gives 1.4 × 1018 m3.
The given value is 1.4 × 109 km3 to be converted into
m3.1 km = 1000 m.
Hence,
1 km3 = (1000 m)3 = 109 m3.
Therefore,
1.4 × 109 km3 = 1.4 × 109 × (109 m3/km3) = 1.4 × 1018 m3.
Hence, 1.4 × 109 km3 is equal to
1.4 × 1018 m3.
To convert
1.4 × 109 km3
into m3, the given value is multiplied by
(109 m3/km3), as 1 km3 = (1000 m)3 = 109 m3.
Therefore,
1.4 × 109 km3 = 1.4 × 109 × (109 m3/km3) = 1.4 × 1018 m3.
Hence, the conversion factor from km3 to m3 is 109, and this factor is multiplied by the given value. In the final answer, the value is expressed as 1.4 × 1018 m3.
Therefore, The given value of 1.4 × 109 km3 is converted into m3 by multiplying it with the conversion factor of (109 m3/km3), which gives 1.4 × 1018 m3.
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Which of the following correctly describes the relationship between a parameter & a statistic?
a) A statistic is calculated from sample data and it's generally used to estimate a parameter.
b) statistics are a group of subjects selected according to the parameters of the study.
c) A parameter is calculated from sample data and is generally used to estimate a statistic.
d) A perimeter and a statistic are not related.
(a) correctly describes the relationship between a parameter and a statistic.
The correct description is:
a) A statistic is calculated from sample data and is generally used to estimate a parameter.
In statistics, a parameter refers to a characteristic or measure that describes a population, while a statistic is a characteristic or measure calculated from sample data. Statistics are often used to estimate or infer the corresponding parameters of the population. Therefore, option (a) correctly describes the relationship between a parameter and a statistic.
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HL=
Help me asap!! Thanks so much I appreciate it :)
The value of length HL is 8.
How to find HL when two secant intersect outside a circle?A secant is a line that intersects a circle in exactly two points
When two secants intersect outside a circle, the circle divides the secants into segments that are proportional with each other.
Therefore,
(EF + FL)FL = HL(GH + HL)
(10 + 14)10 = (HL + 30 - HL)HL
240 = 30(HL)
divide both sides by 30
Hence,
240 / 30 = 30HL / 30
8 = HL
Therefore,
HL = 8
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can someone help me out plsss!
Step-by-step explanation:
-15+4= -11
0+4=4
25+4=29
10. For which of the following utility functions will there always be only a corner solution? a. U(X,Y)=min(X,3Y) b. U(X,Y)=X
2
+Y
2
c. U(X,Y)=X
2
Y
2
d. U(X,Y)=5X+2Y c. None of the above
The utility function for which there will always be only a corner solution is option a, U(X,Y) = min(X, 3Y).
A corner solution occurs when the optimal choice lies on the boundary of the feasible region rather than in the interior. In option a, U(X,Y) = min(X, 3Y), the utility function takes the minimum value between X and 3Y. This implies that the utility depends on the smaller of the two variables. As a result, the optimal choice will always occur at one of the corners of the feasible region, where either X or Y equals zero.
For the remaining options, b, c, and d, the utility functions are not restricted to the minimum or maximum values of X and Y. In option b, U(X,Y) = X^2 + Y^2, the utility is determined by the sum of the squares of X and Y. Similarly, in option c, U(X,Y) = X^2Y^2, the utility is a function of both X and Y squared. In option d, U(X,Y) = 5X + 2Y, the utility is a linear combination of X and Y. These functions allow for non-zero values of X and Y to be chosen as the optimal solution, resulting in solutions that do not necessarily lie at the corners of the feasible region. Therefore, option a is the only one that guarantees a corner solution.
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the proper way to construct a stem-and-ieaf display for the data set {62,67,68,73, 73, 79,91,94,95,97} is to
The proper way to construct a stem-and-leaf plot to display the data set {62,67,68,73, 73, 79,91,94,95,97} is to include a stem labeled ‘8’ and enter no leaf on the stem. So, the correct choice is option (b).
A stem and leaf graph is like a special table where each data value is separated into a "stem" (the first number) and a "leaf" (usually the last number). Leaves are sorted in ascending order from left to right. We have a data set with values {62,67,68,73, 73, 79,91,94,95,97}. Now, to construct the stem- leaf plot for our data.
Stem | Leaf
6 | 2 7
7 | 3 3 9
9 | 1 4 5 7
For stem and leaf diagram if some values are not present for some stem, then no leaf should be added to that stem. If we skip that stem than it would distort the shape of distribution of the data.
stem | leaf
6 | 2 7
7 | 3 3 9
8 |
9 | 1 4 5 7
Hence, include a stem labeled 8 and enter no leaves on the stem.
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Complete question:
The proper way to construct a stem-and-leaf display for the data set {62, 67, 68, 73, 73, 79, 91, 94, 95, 97} is to
a)exclude a stem labeled ‘8
b)include a stem labeled ‘8’ and enter no leaves on the stem.
c) include a stem labeled ‘(8)’ and enter no leaves on the stem.
d) include a stem labeled ‘8’ and enter one leaf value of ‘0’ on the stem.
One independent survey showed that 70% on people asked like coffee. Another independent survey showed that 80% of people like tea. What is the upper and lower bound of peoples who likes both coffee and tea?
The range of people who like both coffee and tea is between 75% and 75%, with the total number of people who like both being 75%.
If 70% of people like coffee, and 80% of people like tea, the minimum number of people who like both coffee and tea is the smaller percentage, which is 70%. The maximum number of people who like both coffee and tea is the smaller of the two percentages, which is 80%.
Therefore, the range of people who like both coffee and tea is 70% to 80%.
To calculate the actual range, you must first calculate the difference between the two percentages:80% - 70% = 10%
Then divide that difference by 2 and subtract and add it to the smaller number:
10% ÷ 2 = 5%
Lower bound: 70% + 5% = 75%
Upper bound: 80% - 5% = 75%
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The price for pumpkin last year is $1.40 per kilogram. The price for pumpkin this
year is increased by $0.80 per kilogram. What is the price for pumpkin this year?
Answer:
1.40×0.80=1.12 or 1.40/0.80=1.75
XºBDIf mzC = 49, find the values of x and y.
SOLUTION
The triangle in the picture has two sides to be equal. This means that the triangle is an isosceles triangle.
The base angles of an isosceles triangle are equal.
This implies that angle C = B = 49 degrees
So both angles B and C are 49 degrees each.
Now let's find angle A
A + B + C = 180 degrees (sum of angles in a triangle)
Then
\(\begin{gathered} A+49+49=180 \\ A+98=180 \\ A=180-98 \\ A=82^o \end{gathered}\)The line bisects angle A into two equal triangles, that is angle y and the angle at the other side
This means that
\(\begin{gathered} y=\frac{82}{2} \\ \\ y=41^o \end{gathered}\)Now let's find x.
Angles x, y, and B make up a triangle. This means that
\(\begin{gathered} x^o+y^o+B^{}=180 \\ x+41+49=180 \\ x+90=180 \\ x=180-90 \\ x=90^o \end{gathered}\)Therefore, x = 90, and y = 41
Charlie's bill at the diner was $18.75. He left a tip of $3.40. What percentage of a tip did he leave? (Round to the nearest whole number) *
whoever answers this first gets 16 points and a brainliest
Answer:
18.1333%
Step-by-step explanation:
I THINK this is the answer,
Determine the length of the chord that is 8 inches from the center of a circle with a radius of 17 inches?
Answer:
30 in
Step-by-step explanation:
See attached image.
The length of AB is 17 (radius). The length of AC is 8 (given info).
AC splits segment BD in half, so point C is the midpoint of segment BD.
AC is perpendicular to the chord, so triangle ABC is a right triangle. You now have a right triangle with a leg of length 8 and hypotenuse of lenght 17.
The Pythagorean Theorem: (leg)^2 + (leg)^2 = (hypotenuse)^2.
\(8^2+(BC)^2=17^2\\\\64+(BC)^2=289\\\\(BC)^2=225\\\\BC=\sqrt{225}=15\)
That's half the length of the chord, so double that to get 30 inches for the full length of the chord BD.
Write an equation representing how much Keith paid.
After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
Answer:
Let x represents the entry fees
y represent the cost of each ticket
Gwen equation
x + 10y = 30 ... (i)
Tristan equation
x + 15y = 40 ...... (ii)
Keith equation
x + 10y = 30 .......... (iii)
By solving eq. (ii) and (iii), we get
x = 10
y = 2
Hence entry fees = $10
cost of each ticket = $2
Step-by-step explanation:
Can sum1 help please?
Answer: x=3
y=9
Step-by-step explanation: im about 75.94 percent sure about this, i hope it helps
If 4 hours are required to type 16 pages, how many hours would be required to type 28 pages?
ANSWER
112
EXPLAINATION
28÷16 = 7
7×16 = answers
Please Help! Evaluate this expression 10.82-9.99
A. 0.53
B. 0.83
C. 1.01
D. 1.23
A rectangular area of 28,000 ft2 is to be fenced off. Two types of fencing material are being considered: Metal fencing which costs $2 per ft and Wooden fencing which costs $5 per foot. You will be finding the dimensions (length and width) and the minimum total cost for fencing the area for three different scenarios. In each case you should find the exact value of both dimensions and an approximation to the nearest foot, as well as the total cost for fencing the area (to the nearest dollar).
The minimum total cost for fencing the area with metal fencing is $1,347.68 (approx.) and the minimum total cost for fencing the area with wooden fencing is $6,738.40
Scenario 1: The rectangular area is a square.
Let the side of the square be x. Then, the area of the square is x^2 = 28,000.
Solving for x, we get:
x = sqrt(28,000) = 167.32 ft (approx.)
The total cost for fencing the area with metal fencing is: 4x($2 per ft) = 4(167.32)($2) = $1,338.56 (approx.)
The total cost for fencing the area with wooden fencing is:
4x($5 per ft) = 4(167.32)($5) = $6,693.12 (approx.)
Therefore, the minimum total cost for fencing the area with metal fencing is $1,338.56 (approx.) and the minimum total cost for fencing the area with wooden fencing is $6,693.12 (approx.). The dimensions are 167.32 ft by 167.32 ft (approx.).
Scenario 2: The rectangular area has a length that is twice its width.
Let the width of the rectangle be x. Then, the length of the rectangle is 2x. The area of the rectangle is: A = length x width = 2x^2 = 28,000
Solving for x, we get: x = sqrt(14,000) = 118.32 ft (approx.)
The length of the rectangle is: 2x = 2(118.32) = 236.64 ft (approx.)
The total cost for fencing the area with metal fencing is: 2(2x + 236.64)($2 per ft) = 2(2(118.32) + 236.64)($2) = $1,341.28 (approx.)
The total cost for fencing the area with wooden fencing is: 2(2x + 236.64)($5 per ft) = 2(2(118.32) + 236.64)($5) = $6,706.40 (approx.)
Therefore, the minimum total cost for fencing the area with metal fencing is $1,341.28 (approx.) and the minimum total cost for fencing the area with wooden fencing is $6,706.40 (approx.). The dimensions are 118.32 ft by 236.64 ft (approx.).
Scenario 3: The rectangular area has a length that is three times its width.
Let the width of the rectangle be x. Then, the length of the rectangle is 3x. The area of the rectangle is:
A = length x width = 3x^2 = 28,000
Solving for x, we get:
x = sqrt(9,333.33) = 96.55 ft (approx.)
The length of the rectangle is:
3x = 3(96.55) = 289.66 ft (approx.)
The total cost for fencing the area with metal fencing is:
2(3x + 289.66)($2 per ft) = 2(3(96.55) + 289.66)($2) = $1,347.68 (approx.)
The total cost for fencing the area with wooden fencing is:
2(3x + 289.66)($5 per ft) = 2(3(96.55) + 289.66)($5) = $6,738.40 (approx.)
Therefore, the minimum total cost for fencing the area with metal fencing is $1,347.68 (approx.) and the minimum total cost for fencing the area with wooden fencing is $6,738.40 (approx.). The dimensions are 96
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Dylan and mackenzie are 230 feet apart when they start walking toward one another. mackenzie walks twice as fast as dylan so whenever dylan travels x feet, mackenzie travels 2 x feet. let x represent the number of feet dylan has traveled since he started walking toward mackenzie.
The total distance between Dylan and Mackenzie is reduced by x feet each time Dylan travels x feet, since Mackenzie travels 2x feet during that time. Therefore, their combined distance of travel is x + 2x = 3x feet.
Since their starting distance apart was 230 feet, and their combined distance of travel is 3x feet, we can write an equation to represent the situation:
230 = 3x
To find the distance each person travels, we can solve for x by dividing both sides of the equation by 3:
230 / 3 = 3x / 3
x = 230 / 3 = 76.67 feet
So, Dylan travels x = 76.67 feet and Mackenzie travels 2x = 2 * 76.67 = 153.33 feet.
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what is perpendicular line calculator online
A perpendicular line calculator online is a tool used to find the equation of a line that is perpendicular to a given line and passes through a given point.
A perpendicular line calculator online is a math tool used to find the equation of a line that is perpendicular to a given line and passes through a given point. To use this calculator, users input the slope and y-intercept of the given line, as well as the x- and y-coordinates of the given point.
The calculator then uses the formula for the slope of a perpendicular line to find the slope of the new line and calculates the y-intercept by plugging in the given point. This tool is useful in many applications, such as finding the equation of a perpendicular bisector, a perpendicular tangent line, or a perpendicular distance between two points.
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