The location that has same walking distance in each of the main locations is the circumcenter
What is circumcenter?The circumcenter is the center point of the circumcircle of a triangle.
The circumcircle is the circle that passes through all three vertices of the triangle.
The circumcenter is the point where the perpendicular bisectors of the sides of the triangle intersect. In other words, the circumcenter is equidistant from the three vertices of the triangle.
To find the circumcenter of a triangle, you can follow these steps:
Identify the three vertices of the triangle.
Find the midpoint of each side of the triangle.
Find the slope of each side of the triangle.
Find the perpendicular bisector of each side of the triangle.
Find the intersection point of any two perpendicular bisectors.
This point is the circumcenter of the triangle.
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6th Grade Math, Help Please! (Adding and Subtracting Rational Numbers)
HELPPPPPPP PLEAAASEEEEE
Answer:
6.8
Step-by-step explanation:
8÷3+7.5+3=8.0.hence 5× 5×1=5+3=8÷3+7.5+-3×1=-3+6=3. 5+8+7.5+-3+3=6.8.
Select the correct answer. Rewrite the following expression.
The solution of the expression, \(x^{\frac{9}{7} }\) is \(\sqrt[7]{x^{9} }\).
How to solve an expression?An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.
Therefore, let's rewrite the expression to it's equivalent expression.
An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same.
Therefore, using indices rule
\(x^{\frac{9}{7} }\) = \(\sqrt[7]{x^{9} }\)
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Solve for the balloon volume using the
equation below where:
volume = v
circumference = c
V=
The volume of the balloon is 1441.64cm³.
How to calculate the volume?To calculate the volume these are few ways
Solve for Volume by space. All physical objects occupy space, and you can find the volume of some of them by measuring their physical dimensions. Solve for Volume by Density and Mass. Density is defined as an object's mass per a given unit of volume. Solve for Volume by Displacement.The radius of the balloon is given as 7 cm. Also, the equation to calculate the volume is given as c³/6π²
The circumference c will be:
= 2πr = 2 × 22/7 × 7
= 44
The volume will be:
= c³/6π²
= 44³/(6 × 3.14²)
= 85284/(59.1576)
= 1441.64
Therefore, volume of the balloon will be 1441.64 cm³.
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21.7.3 Quiz: Intersecting Lines and Proofs
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
R
P
T
D
B
The pairs of angles that are vertical angles in the figure are R and T.
In the figure provided, vertical angles are formed by the intersection of two lines. Vertical angles are always congruent (equal in measure) to each other.
Looking at the given options:
R and T are vertical angles because they are formed by the intersection of lines.
P and D are not vertical angles. They are adjacent angles formed by the intersection of lines, but they are not directly opposite each other.
Therefore, the pairs of angles that are vertical angles in the figure are:
R and T
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A contractor is building a new subdivision. A rectangular piece of land for a new house and yard
is 60 feet wide. The length of the land is longer than the width by a distance of n feet. Which
equation represents the area of the land?
OAA = 3,600 + 60m
OB A = 60n
OC A = 3,600+ n
OD. A = 240 + 2n
The area of the land is 3600 + 60n.
What is area?
Area is a mathematical concept that expresses the size of a region on a plane or curved surface. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.
Given: A contractor is building a new subdivision.
A rectangular piece of land for a new house and yard is 60 feet wide.
The length of the land is longer than the width by a distance of n feet.
So, width = 60 feet
and length = 60 + n feet
Since, the area of rectangular piece of land (A)
Area = length x width
Area = (60 + n) x 60
Area = 3600 + 60n
Hence, the area of the land is 3600 + 60n.
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Optimal Chapter-Flight Fare If exactly 212 people sign up for a charter flight, Leisure World Travel Agency charges $292/person. However, if
more than 212 people sign up for the flight (assume this is the case), then each fare is reduced by $1 for each additional person. Determine how
many passengers will result in a maximum revenue for the travel agency. Hint: Let x denote the number of passengers above 212. Show that the
revenue function R is given by R(x) = (212+x)(292-x).
passengers
What is the maximum revenue?
$
What would be the fare per passenger in this case?
dollars per passenger
Answer:
Dollars per passenger would be $252.
The maximum revenue is $63,404.
Step-by-step explanation:
Let's define the number of passengers above 212 as x.
The revenue function is given by R(x) = (212 + x)(292 - x).
We can expand and simplify the revenue function:
\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)
= \(61804 - 212x + 292x - x^2\)
= \(-x^2 + 80x + 61804\)
The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.
To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).
\(x=\frac{-80}{2*(-1)}\)
\(= \frac{80}{2}\)
\(= 40\)
Therefore, the number of passengers above 212 for maximum revenue is 40.
Substitute x = 40 into the revenue function to find the maximum revenue:
\(R(x) = -(40)^2 + 80(40) + 61804\)
\(= -1600 + 3200 + 61804\)
\(= 61804 + 1600\)
\(= 63404\)
Hence, the maximum revenue is $63,404.
To determine the fare per passenger, subtract x from the base fare of $292:
Fare per passenger = Base fare - x
\(= 292 - 40\)
\(= 252\) Dollars per passenger.
How many meters are in 214 cm
what is proof?
where/when/how was it created?
How is it used?
Answer: I did a lot of research for this :)
Step-by-step explanation:
Proof is reasoning that an equation or expression works. It is used in Geometry and Calculus. It is likely first created as an ancient greek mathematics reasoning. Thales was one of the first text books featuring geometry proof(624–546 BCE). It is used to prove that the equation matches.
Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is
shown:
RS = √(-4) (-3))² + (7 − 5)²
= √(-1)² + (2)²
= √1 + 4
= √5
-
What error, if any, did Heather make?
A. She substituted incorrectly into the distance formula.
B. She subtracted the coordinates instead of adding them.
C. She made a sign error when simplifying inside the radical.
OD. She made no errors.
The distance between points R and S is \(\sqrt{ (185)\). The correct answer is D. She made no errors.
Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:
RS = √(-4) (-3))² + (7 − 5)²
= √(-1)² + (2)²= √1 + 4
= √5
The error is with the order of subtraction in the formula for the distance between two points.
Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.
The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;
dAB = \(\sqrt{ ((x^2 - x1)^2 + (y2 - y1)^2)\)
Comparing the given question with the formula above, we have;
A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.
Therefore, we have;
RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)
On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS
= \(\sqrt{ (8^2 + 11^2)RS\)
= \(\sqrt{ (64 + 121)RS\)
= \(\sqrt{ (185)\)
Therefore, the distance between points R and S is \(\sqrt{ (185)\).
From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.
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One of the Starbucks managers strongly believes that the primary functions are to make valued or desired rewards available in the
workplace and clarify for the subordinate the kinds of behavior that will lead to goal accomplishment and valued
rewards Accordingli he is referring to - motivational theory, which is part of the --- motivational perspective/theories
A Substitute, Content
(B) Substitute, Process
Expectancy. Content
D) Expectancy, Process
Answer:
eyeyywhwywhwhehehhehehehehhehe the answer is a
- What is the equation and the slope of the line shown on the grid?
Answer:Undefined
Step-by-step explanation: The line is going straight so it makes it undefined
what are the 30 variables i need to put in the spss stats data editor to get this output? and pls just the 30 variables to get the same output.
One-Sample t-test: Data set: A real dataset from Kaggle on the heights of students in a university. The research question is whether the average height of students in the university is significantly different from 170 cm. The hypothetical study includes a random sample of 30 students from the university, and their heights are measured in cm.
Hypotheses: Null hypothesis: The mean height of the population is equal to 170 cm (µ = 170)
Alternative hypothesis: The mean height of the population is not equal to 170 cm (µ ≠ 170)
Alpha level: 0.05
SPSS Output:
N Mean Std. Deviation Std. Error Mean
30 172.2 6.43 1.18
One-Sample Test Test Value = 170 95% Confidence Interval of the Difference t df Sig. (2-tailed) Mean Difference Lower Upper
2.10 29 0.046 2.20 0.09 4.31
The output includes the sample size (N), mean, standard deviation, and standard error mean for the height variable. It also shows the results of the one-sample t-test, including the test value, t-value, degrees of freedom (df), p-value (Sig.), and the mean difference with its 95% confidence interval (Lower and Upper).
Since the p-value is less than the alpha level of 0.05, we can reject the null hypothesis and conclude that there is sufficient evidence to suggest that the average height of students in the university is significantly different from 170 cm.
Step-by-step explanation:
To get the same output in SPSS, you would need to input the following 30 variables in the data editor:
ID
Height1
Height2
Height3
Height4
Height5
Height6
Height7
Height8
Height9
Height10
Height11
Height12
Height13
Height14
Height15
Height16
Height17
Height18
Height19
Height20
Height21
Height22
Height23
Height24
Height25
Height26
Height27
Height28
Height29
In this case, "ID" represents the identification number of each student, and "Height1" to "Height29" represent the height of each student in the sample.
To perform the one-sample t-test and obtain the output, follow these steps in SPSS:
Go to "Analyze" > "Compare Means" > "One-Sample T Test"
Select the variable "Height1" to "Height29" and move them to the "Test Variable(s)" box
Enter "170" in the "Test Value" box
Click "OK"
The output should then appear in the "Output Viewer" window.
The table below represents favorite ice cream of the freshman and sophomores at
Eastern High School.
What is the approximate probability that a student's favorite is oreo ice cream?
Answer: 43%,
Step-by-step explanation:
i did it in my search bar but its just 112 percent of 378 which is 43
Subtract t⁴-3t²+7 from 5t³-9.
Answer:
t⁴+5t³-3t²-2
Step-by-step explanation:
You can't subtract a variable with a different exponent:
Example:
CAN'T BE SUBTRACTED - 3x²-3x⁴
CAN BE SUBTRACTED - 4x²-2x²=2x²
\(\sf -t^{4}+5t^{3} +3t^{2} -16.\)
Step-by-step explanation:1. Write the expression.\(\sf (5t^{3} -9)-(t^{4}-3t^{2} +7 )\)
2. Remove the parenthesis.Beware of the terms of the right hand side parenthesis, as we'll have to change the symbol of all of them because of the minus (-) symbol infront of the parenthesis.
\(\sf 5t^{3} -9-t^{4}+3t^{2} -7\)
3. Work with like terms.Like terms are terms that contain the same variables and can be added and subtracted simply. For example, 7x and 2x are like terms, because they are both expressed in terms of x. However, 7x and x² are not like terms, because one os expressed in terms of x and the ither in terms of x².
• Note: All natural numbers not being multiplied by any variables are like terms.
So now let's identify those like terms:
From this expression: \(\sf 5t^{3} -9-t^{4}+3t^{2} -7\)
Only -9 and -7 are like terms. And, since -9-7= -16, the resulting expression should be the following:
\(\sf 5t^{3} -t^{4}+3t^{2} -16\)
4. Order the terms correctly.So even though the last expression is the answer to this problem, we can polish it a little bit by ordering the terms. In math and other exact sciences, terms are normally ordered alphabetically and from greatest to least of it's the same variable with different exponents. Therefore, the final answer is:
\(\sf -t^{4}+5t^{3} +3t^{2} -16.\)
The height h of an object thrown from the top of a ski lift 1240 feet high after t seconds is h=-16t2 +32t+1240. For what times is the height of the object at least 1000 feet?
←
The height of the object is at least 1000 feet from seconds to seconds.
Check the picture below.
so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.
\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)
now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.
So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark happened between 0 and 5 seconds.
Rewrite the expression with a single base and exponent. (3^2*3^3)^3
The expression can be rewritten by given term as; 3^15
We need to simplify the expression below:
(3^2 x 3^3)^3
Remember that we can add these exponents, so we get:
(9 x 9)^3 = 81^3
Then we can rewrite this as:
531441
Takin the product between the exponents we will get:
(3^5)^3
Thus, the solution is 3^15
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An ice-cream shop uses the following ingredients to make one sundae.
Ingredients. Amount
Ice-cream- 2 scoops
Sprinkles- 4 spoonful's
Whipped Cream- 2 tablespoons
If the ice-cream shop used 14 scoops of ice-cream, calculate the amount of sundaes made.
Answer:
7
Step-by-step explanation:
If each sundae requires 2 Ice-cream scoops, and you have 14, then you can find the number of sundaes by dividing 14/2
14/2 = 7
Answer:
7 sundaes
Step-by-step explanation:
To make one sundae, 2 scoops of ice cream are used.
If 14 scoops of ice cream are used, then since 14/2 = 7, 7 times the amount of ice cream needed for 1 sundae was used, so 7 sundaes were made.
The bowling average of the players in the Capital Three bowling tournament is 158 with variance of 121. If Dr. Baker bowls an average of 169 during the tournament. Compute the appropriate statistic.
Answer: 1
Step-by-step explanation:
The formula for the Z-score is:
Z = (X - μ) / σ
where:
- X is Dr. Baker's bowling average
- μ is the mean bowling average of the players in the tournament
- σ is the standard deviation of the bowling averages of the players in the tournament
From the problem, we know that:
- μ = 158
- σ^2 = 121
- X = 169
Therefore, σ = sqrt(121) = 11.
Now we can plug in the values into the Z-score formula:
Z = (169 - 158) / 11 = 1
This means that Dr. Baker's bowling average is 1 standard deviation above the mean bowling average of the players in the tournament.
So the appropriate statistic is the Z-score, which is 1.
help please!
x+2/2x-2 = 7/x+3
Answer:
im sorry I don't know I didn't do this in school
What is the sin B?
/21
B
5
2
sin (B) =
[?]
Answer:
Step-by-step explanation:
sin (B) = \(\frac{2}{5}\)
Need some help I’m stuck!!!!
Answer:
I think it’s
False
True
True
True
True
False
True
False
In a diamond problem solver what is 3.25 and 4 I need help ASAP
Answer:12 I believe
Step-by-step explanation:
Which ordered pairs represent points on the graph of this equation? Select all that apply. y = 2x - 3 a)3-3 b) 0,-3 c) 5,7 d) -2,-7 e) 2,1 or f) 4,5
The ordered pairs that represent points on the graph of y = 2x - 3 are (0,-3), (5,7), (-2,-7), (2,1), and (4,5).
What is equation?An ordered pair is a pair of numbers written in a specific order (x,y) that represents a point in the coordinate plane.
What is graph?A graph is a visual representation of data or a mathematical function that is plotted on a coordinate plane, usually with an x and y-axis. It is used to analyze trends and relationships between variables.
According to the given information:
To determine whether a given ordered pair represents a point on the graph of the equation y = 2x - 3, we need to substitute the values of x and y into the equation and see if the equation is true.
a) (3,-3):
y = 2x - 3
-3 = 2(3) - 3
-3 = 3
This is not true, so (3,-3) is not on the graph.
b) (0,-3):
y = 2x - 3
-3 = 2(0) - 3
-3 = -3
This is true, so (0,-3) is on the graph.
c) (5,7):
y = 2x - 3
7 = 2(5) - 3
7 = 7
This is true, so (5,7) is on the graph.
d) (-2,-7):
y = 2x - 3
-7 = 2(-2) - 3
-7 = -7
This is true, so (-2,-7) is on the graph.
e) (2,1):
y = 2x - 3
1 = 2(2) - 3
1 = 1
This is true, so (2,1) is on the graph.
f) (4,5):
y = 2x - 3
5 = 2(4) - 3
5 = 5
This is true, so (4,5) is on the graph.
Therefore, the ordered pairs that represent points on the graph of the equation y = 2x - 3 are: (0,-3), (5,7), (-2,-7), (2,1), and (4,5). Answer: b), c), d), e) and f).
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3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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4(1-x)<16 solve and graph
Answer: (x > -3).
Step-by-step explanation:
To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:
4(1 - x) < 16
Distribute the 4:
4 - 4x < 16
Subtract 4 from both sides:
-4x < 12
Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:
x > -3
The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.
To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:
The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).
here's the graph for 4(1-x)<16
How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
giving brainlist
Select all the numbers that are Irrational.
2.35496...
5.4
1.329538...
4.77777...
multi choice*
Answer:
A,C,D
Step-by-step explanation:
Irrational number that keep going and never stop that DONT have a pattern
For example
1/3=0.3
It keeps going on BUT it repeats therefore its rational
Another example
The square root of 13 is 3.6055.......
it keeps going on BUT it doesn't have a pattern therefore its irratianal
A package of 8-count AA batteries costs $6.16. A package of 20-count AA batteries costs $15.60. Which statement about the unit prices
is true?
The 8-count pack of AA batteries has a lower unit price of $0.77 per battery.
The 20-count pack of AA batteries has a lower unit price of $0.77 per battery.
The 20-count pack of AA batteries has a lower unit price of $0.78 per battery.
Answer:
it would be within the range of $0.77 <x< $0.78
Mathematics
Find the rate
What percent of 200 is 50?
What percent of 50 is 40?
What percent of 10 is 6?
200 is what percent of 200?
What percent of 800 is 200?
Show your solution, HELP PLS ASAP!!!
I'LL GIVE 20 POINTS!!
Answer:
Step-by-step explanation:
25%
80%
60%
100%
25%
Tina had $15.73 • She purchased 3 plastic bracelets for $1.88 each and 1 hair ribbon for $1.23 • There was no sales tax How much money did Tina have after her purchases? (m) $6.40 ki $8.86 $12.62 $15.08 $ ОА OB OC OD
Answer:
B. $8.86
Step-by-step explanation:
$1.88 * 3 plastic bracelets = $5.64
$1.23 for one hair ribbon
$5.64 + $1.23 = $6.87
$15.73 - $6.87 = $8.86