The measures of each term are; WS=39, WY=78, WZ=58, ZR=29, ZT=16 and YZ=32.
WE are given that Z is the centroid of triangle. Since centroid is the centre point of the object. The point in which the three medians of the triangle intersect is the centroid of a triangle.
Given WR=87 SY=39 and YT=48
WS=39
As WS=WR
WY=WS+SY
WY=39+39=78
WZ=58
Now, ZR=WR-WZ
ZR=87-48=29
ZT=16
Similalry;
YZ=YT-ZT
=48-16=32
YZ=32
Hence, the measures are; WS=39, WY=78, WZ=58, ZR=29, ZT=16 and YZ=32
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Why is it important that scientists use all of their results and not just some of them? Example: What should a scientist do if the evidence neither supports nor contradicts the hypothesis?
Why is it important for scientists to repeat each other's experiments?
Is there any scientific knowledge that it would be better not to have?
It is important for scientists to use all of their results because selective reporting can lead to biased or incomplete conclusions. Including all results helps ensure objectivity and transparency in scientific findings.
When the evidence neither supports nor contradicts the hypothesis, it is crucial for scientists to acknowledge and report this outcome. It indicates the need for further investigation and can contribute to the accumulation of knowledge. Scientists should explore alternative explanations, refine their hypotheses, or modify their experimental approaches to gain a deeper understanding of the phenomenon.
Scientists repeating each other's experiments serves as a vital aspect of the scientific process called replication. Replication helps validate or challenge previous findings, ensures the reliability of results, and identifies any potential errors or biases. It enhances the overall credibility and robustness of scientific knowledge by promoting consensus and reducing the likelihood of false or misleading conclusions.
Regarding whether there is any scientific knowledge that it would be better not to have, it is a complex question. Generally, scientific knowledge empowers humanity by expanding our understanding of the world and driving progress. However, ethical considerations may arise in certain areas, such as knowledge that could be weaponized or have harmful consequences if misused. Responsible dissemination and application of scientific knowledge, along with ethical frameworks, help ensure the benefits outweigh the potential risks.
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n math class, Sam correctly multiplied 3.625×10−8 by 500, then reported his product in scientific notation.
What was the exponent in Sam’s product?
Responses
-16
-16
-10
-10
-7
-7
-5
-5
The exponent in the Sam's product is -5 it can be extracted from the scientific notation 1.8125 x 10⁻⁵.
Scientific Notation:
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form.
Given,
In a math class, Sam correctly multiplied 3.625×10⁻⁸ by 500, then reported his product in scientific notation.
Here we need to find the exponent of the resulting scientific notation.
First, we have to multiply the terms,
For that we have to take only the whole value terms,
Like,
=> (3.625 × 500) × 10⁻⁸
=> 1812.5 × 10⁻⁸
It can be further simplified as,
=> 1.8125 × 10³ × 10⁻⁸
=> 1.8125 x 10³⁻⁸
=> 1.8125 x 10⁻⁵
Therefore, the exponent is -5 for the resulting scientific notation 1.8125 x 10⁻⁵.
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Ian is preparing for his trip to South Korea. He has a total budget of 2,192,896 won for his entire trip. If he calculates that he will need 85,210 won for an extended travel pass, 725,726 won for his plane tickets, 203,396 won for food, and 322,800 won for his hostel room, how much does he have left for spending money and miscellaneous expenses? a. 1,337,132 won b. 1,026,184 won c. 855,764 won d. 830,456 won.
An equation is formed of two equal expressions. The amount that is left with Ian to spend is 855,764 won.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The total expenses that Ian has to do are the cost of an extended travel pass, cost of plane tickets, cost of food, and cost of his hotel room. Therefore, the total cost can be written as,
Total Cost = Cost of an extended travel pass + Cost of plane tickets + Cost of food + Cost of his hotel room
Total Cost = 85,210 won + 725,726 won + 203,396 won + 322,800 won
= 1,337,132 won
The budget for the entire trip of Ian is 2,192,896 won, while his total expenditure is 1,337,132 won, therefore, the amount that will be left for spending by Ian can be written as,
Amount left for Spending = Total Budget - Total Cost
= 2,192,896 won - 1,337,132 won
= 855,764 won
Thus, the amount left with Ian to spend is 855,764 won.
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Answer:
Ian is preparing for his trip to South Korea. He has a total budget of 2,192,896 won for his entire trip. If he calculates that he will need 85,210 won for an extended travel pass, 725,726 won for his plane tickets, 203,396 won for food, and 322,800 won for his hostel room, how much does he have left for spending money and miscellaneous expenses?
a. 1,337,132 won
b. 1,026,184 won
c. 855,764 won<<<CORRECT
d. 830,456 won
Step-by-step explanation:
2022 EDGE TOPIC TEST
HELP NEEDED QUICK
Find the measure of the missing angles.
simplify
d^9 ÷ d^4 pls help
\(d^5\)
Step-by-step explanation:Recall the Law of Exponents:
\(\frac{a^m}{a^n} = a^{m -n}\\\)
Rewriting \(\frac{d^9}{d^4}\\\):
\(\frac{d^9}{d^4} \\ d^{9 -4} \\ d^5\)
HELP NOW PLEASE
Which of the following
expressions would result in a
difference of two squares?
Q. (x – 11)(x - 11)
R. (2x + 2)(2x + 2)
S. (x – 4)(x + 4)
T. All of the above
Answer:
S
Step-by-step explanation:
The 5 owners of Mei's Restaurant remodeled their business. They bought 6 tables, 48 chairs, and 4 crystal light fixtures. The cost of these purchases was divided equally among the owners. Excluding tax, how much did each owner pay?
Answer:
$391.2 per owner
Step-by-step explanation:
find the total price of the items and divide it by five
Use a calculator or program to compute the first 10 iterations of Newton's method for the given function and initial approximation.
f(x) = 4 tan x- 6x, Xo = 1,4
After performing these calculations using a calculator or a program like Python, MATLAB, or Excel, you will have the values of the first 10 iterations of Newton's method for the given function and initial approximation.
To compute the first 10 iterations of Newton's method for the given function and initial approximation, follow these steps:
1. Write down the function and its derivative:
\(f(x) = 4 * tan(x) - 6 * x
f'(x) = 4 * sec^2(x) - 6\)
2. Define the initial approximation, X₀ = 1.4.
3. Apply Newton's method formula to find the next approximation, X₁:
X₁ = X₀ - f(X₀) / f'(X₀)
4. Repeat steps 3-4 for a total of 10 iterations (X₁ to X₁₀).
Note that I'm unable to perform calculations on this platform, but I'll provide a general outline for performing the iterations:
Iteration 1 (X₁):
\(X₁ = 1.4 - (4 * tan(1.4) - 6 * 1.4) / (4 * sec^2(1.4) - 6)\)
Iteration 2 (X₂):
\(X₂ = X₁ - (4 * tan(X₁) - 6 * X₁) / (4 * sec^2(X₁) - 6)\)
Repeat these steps up to the 10th iteration (X₁₀).
After performing these calculations using a calculator or a program like Python, MATLAB, or Excel, you will have the values of the first 10 iterations of Newton's method for the given function and initial approximation.
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Picture attached help please!
The missing lengths in the triangles are h = 3/2√2 and b = 4√3
How to determine the missing lengthsTriangle a and b
From the question, we have the following parameters that can be used in our computation:
A special right triangle
For a right triangle with an angle of 45 degrees
The measure of the leg is
h = Hypotenuse/√2
So, we have
h = 3/√2
Evaluate
h = 3/2√2
For the other triangle, we have
sin(60) = b/6
So, we have
b = 6/sin(60)
Evaluate
b = 4√3
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If I have a circle that has a radius of 8inches, explain how to find the circumference of the circle?
Answer:
The circumference is 50.24 in
Step-by-step explanation:
The circumference formula is C = 2πr where C = Circumference, π = pi and r = radius. We know that r = 8 and π = 3.14 and that we're solving for C, so we can substitute those values into the equation to get C = 2 * 3.14 * 8 = 50.24 in.
anyone single i am lonely and sad... contact me if you are im a male 15 years old live in alabama hope your ready to go on a date :) but any way i am gonna add a math question to this
what is 1284×342÷9×62×4÷98×2÷106?
Answer:
2329.69 is the answer......
give me a brainliest
15. CRYSTALLOGRAPHY Crystals are classified according to seven crystal systems. The
basis of the classification is the shapes of the faces of the crystal. Turquoise belongs to
the triclinic system. Each of the six faces of turquoise is in the shape of a parallelogram.
Find the sum of the measures of the interior angles of one such face.
Answer:
360
Step-by-step explanation:
The solution is, the sum of the measures of the interior angles of one such face is 360°.
What is angle of parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure .
here, we have,
The basis of the classification is the shapes of the faces of the crystal. Turquoise belongs to the triclinic system.
Each of the six faces of turquoise is in the shape of a parallelogram.
now, we get,
This can also be calculated by the formula, S = (n − 2) × 180°, where 'n' represents the number of sides in the polygon.
Here, 'n' = 4.
Therefore, the sum of the interior angles of a parallelogram = S
= (4 − 2) × 180°
= (4 − 2) × 180°
= 2 × 180°
= 360°
Hence, The solution is, the sum of the measures of the interior angles of one such face is 360°.
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A scientist invents a car that can travel for many hours without stopp
car travels around a track at 54 miles an hour for 24 hours. At the end of the 24
hours, how far has the car traveled?
Answer:
Well 51 per hour and there is 24 hours so you just multiply the two together. Which you would get get 1,224 Miles
PLEASE HELP ASAP
Write "I say what I mean" and "I meanwhat I say" in conditional form. Pick the most accurate choice.
A)"If I mean it then I say it" and "If I say it then I mean it." These are converses of each other and definitely have the same truth value.
B)"If I mean it then I say it" and "If I say it then I mean it." These are converses of each other and don't necessarily have the same truth value.
C)"If I mean it then I say it" and "If I say it then I mean it." These are inverses of each other and definitely have the same truth value
D) "If I mean it then I say it" and "If I say it then I mean it." These are inverses of each other and don't necessarily have the same truth value.
Other:
IMAGE ATTACHED IF NEEDED
Conditional statements are statements that use the "if" word.
The correct option is:
B)"If I mean it then I say it" and "If I say it then I mean it." These are converses of each other and don't necessarily have the same truth value.
The statements are given as:
Statement 1: I say what I mean
Statement 2: I mean what I say
None of the statements represent an inverse statement, because one or both statements do not include "not".
This means that options (c) and (d) are incorrect.
From options (a) and (b), we can conclude that both statements are converse of one another.
This is also confirmed with the following proof.
The converse of if statement-1, then statement-2 is: if statement-2, then statement-1
Converse statements may or may not have the same truth value.
i.e. The truth value of the statements is not a condition of converse statements.
This means that option (b) is correct, because it highlighted that :
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For the point (r,θ), r is the _____ from O to P and θ is the _____ counterclockwise from the polar axis to the line segment ¯¯¯¯¯¯¯¯OP.
In the point (r, θ), r signifies the distance from O to P, while θ represents the angle counterclockwise from the polar axis to the line segment ¯¯¯¯¯¯¯¯OP.
For the point (r, θ), r is the distance from O to P, and θ is the angle counterclockwise from the polar axis to the line segment ¯¯¯¯¯¯¯¯OP.
In polar coordinates, a point is represented by its distance (r) from the origin (O) and the angle (θ) it forms with the positive x-axis. The distance (r) denotes the length of the line segment connecting the origin to the point P. It indicates how far the point is from the origin. The angle (θ) represents the rotation or angular position of the line segment ¯¯¯¯¯¯¯¯OP from the polar axis (positive x-axis) in a counterclockwise direction. It determines the direction in which the point is located relative to the polar axis.
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HEEEEEEEEEEEEELLLLLLPPPPP PLEASE TYSMMMMM and btw rn it’s like 9:44 FOR ME and this can’t be completed in 11:49 bc that’ll just be turned in late ACCORDING TO MY TEACHER SO PLS
SLSLS
SLSLS
LS HELP TYYY! have a good day<3!!!!!
(IM GONNA SPAM)
Answer:
5900 milliliters
Step-by-step explanation:
U just multiply?
pls answer for points
Answer:
Step-by-step explanation:
5/6 - (2/5 + 1/3)
25/30 - (12/30 + 10/30)
25/30 - 22/30 = 3/30 = 1/10
answer is b
The student council at lexington High School is making T-shirts to sell for a fundraiser, at a price of $10 apiece. The costs, meanwhile, are $5 per shirt, plus a setup fee of $50. Selling a certain number of shirts will allow the student council to cover their costs. How many shirts must be sold? What will the costs be? Selling shirts will cover the $ in costs
hi, ansewer the question
Noah says:
I am thinking of a number.
When I subtract 13 and
multiply the answer by
7, I get 63.
What is Noah's number?
Answer:
Number =22
Step-by-step explanation:
63/7 = 9
9+13 = 22
a quadrilateral has angle measures of 35.8°, 25.4°, and 178°. What is the other angle measure?
Answer:
120.8°
Step-by-step explanation:
the total angle sum is of 360 so we add and subtract
35.8+25.4+178= 239.2
360-239.2= 120.8
so the missing angle measure is 120.8°
Planes S and R both intersect plane T.
R
B
C
Mark this and return
E
Which statements are true based on the diagram?
Select three options.
Plane S contains points B and E.
The line containing points A and B lies entirely in plane
T.
Line v intersects lines x and y at the same point.
Line z intersects plane S at point C.
Planes R and T intersect at line y.
Next
Save and Exit
Submit
The statements that are true based on the diagram are:
The line containing points A and B lies entirely in plane T.Line z intersects plane S at point C.Planes R and T intersect at line y.What is the statement about?From the image attached one can see that points A and B are seen on the line v and that can also be seen on the plane T.
Still on the diagram, the line z, is known to be made up of points C and D, as it intercept or passes through the plane Z at point C.
The intersection of the planes R and T is known to be line y because, the intersection of two planes is known to appear as a line that is seen in the area of their intersection.
Therefore, The statements that are true based on the diagram are:
The line containing points A and B lies entirely in plane T.Line z intersects plane S at point C.Planes R and T intersect at line y.Learn more about intersects from
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13) Where will the hand of a clock stop, if it starts from 9 and makes 3/4 revolution, clockwise?
Answer: it will stop at the 6
If the number 4 is placed at the right end of a two-digit number BC, the value of the three-digit number thus formed is 247 more than BC. What is the original two-digit number BC?
Answer:
Thus, 40 ÷ 4 = 10 more tables are needed in between the two end tables. ... Let's list all 4 × 3 = 12 possible two-digit numbers that can be made from the four digits ... There are 3 ways to place a 4 and a 1 next to each other; as the first two digits, the middle ... Suppose we extend sides AD and BC to intersect at E, as shown.
Step-by-step explanation:
let |g| 5 15. if g has only one subgroup of order 3 and only one of order 5, prove that g is cyclic. generalize to |g| 5 pq, where p and q are prime.
To prove that the group g is cyclic, we analyze the possible values of the order |g|. We consider the cases for each possible value and demonstrate that in all cases, g is either cyclic or leads to a contradiction.
For |g| = 1, 2, 3, 5, or 7, the groups of these orders are always cyclic.
If |g| = 4, 6, 8, 9, 10, 12, or 15, we show that g cannot have the required subgroups. Assuming g is not cyclic, we find an element x of order 2 and additional elements y, z, w, etc., also of order 2. This contradicts the given conditions since g would be isomorphic to Z₂ × Z₂ or have more than one subgroup of order 3 or 5.
For composite orders |g| = pq, where p and q are prime, we generalize the analysis. By Cauchy's theorem, g has elements of order p and q, and since there is only one subgroup of each order, they are cyclic. We show that the intersection of these subgroups cannot have an order of pq, leading to a contradiction. Hence, g is cyclic.
Therefore, in all cases, g is proved to be cyclic. QED.
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a piece of licorice is to be cut into 10 equal size pieces. if the length of the piece of licorice is 2/3 yard, how long will each piece of licorice be?
Help pls!
Which rational function has zeros at x = -1 and x = 6 ?
Answer:
\(f(x) = \frac{x^{2} -5x-6}{x^{2} -4}\)
Step-by-step explanation:
Let's factorize the 1st option :
⇒ \(f(x) = \frac{x^{2} -5x-6}{x^{2} -4}\)
⇒ \(f(x) = \frac{x^{2}+x-6x-6 }{(x+2)(x-2)}\)
⇒ \(f(x) = \frac{(x+1)(x-6)}{(x+2)(x-2)}\)
===============================================================
Finding the zeros :
⇒ Factors of numerator should be equated to 0
x + 1 = 0 ⇒ x = -1x - 6 = 0 ⇒ x = 6=============================================================
Solution :
\(f(x) = \frac{x^{2} -5x-6}{x^{2} -4}\)
Answer:
first option
Step-by-step explanation:
the zeros are determined by the numerator of the rational function.
given that the zeros are x = - 1 and x = 6 , then the corresponding factors are
(x + 1) and (x - 6) , that is
(x + 1)(x - 6) ← expand using FOIL
= x² - 5x - 6
the rational function is then
f(x) = \(\frac{x^2-5x-6}{x^2-4}\)
Kyle is creating a frame for a model car. He begins by piecing two rods together, as shown in the diagram. Justify why AM = 6.
A. Definition of Perpendicular Bisector
B. Definition of Midpoint
C. Addition Property
D. Subtraction Property
The AM = 6 because of Definition of Perpendicular Bisector.
The correct option is A.
What is a perpendicular line?Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.
Given:
Kyle is creating a frame for a model car.
He begins by piecing two rods together,
as shown in the attached diagram.
A perpendicular bisector means,
a line intersects another line.
And divide into two same parts.
And angle between two lines is 90°.
Here, the if the one piece of one rod is 6.
Then that means, the rod is divided into 2 equal parts.
Therefore, the definition is the definition of Perpendicular Bisector
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Simplify 12^3/12^7
A,B,C or D....???
Answer:
1/12^4
Step-by-step explanation:
I'm pretty sure this is the answer sorry if I am wrong
Two dice are rolled. Find the probability of the following event. The first die is 6 or the sum is 8. The probability of the event "the first die is 6 or the sum is 8" is (Type an integer or a simplified fraction.)
To find the probability of the event "the first die is 6 or the sum is 8," we need to count the number of outcomes that satisfy this event and divide it by the total number of possible outcomes.
To find the probability of the event "the first die is 6 or the sum is 8," we need to consider the total possible outcomes when rolling two dice and the favorable outcomes for this event.
Total possible outcomes: 6 sides on each die, so there are 6 x 6 = 36 possible outcomes.
Favorable outcomes:
1. First die is 6: There are 6 possible outcomes (6,1), (6,2), (6,3), (6,4), (6,5), and (6,6).
2. Sum is 8: There are 5 possible outcomes (2,6), (3,5), (4,4), (5,3), and (6,2).
However, (6,2) is counted twice, so we should subtract 1 from the total favorable outcomes: 6 + 5 - 1 = 10.
Probability = Favorable outcomes / Total possible outcomes = 10/36. Simplifying the fraction gives 5/18.
So, the probability of the event "the first die is 6 or the sum is 8" is 5/18.
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Work out the value of 5 to the power of a if it equal 1/125
Answer:
a = -3
Step-by-step explanation:
Step 1: Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:
5^a = 1/125
Step 2: Take the log of both sides
log(5^a) = log(1/125)
Step 3: According to the power rule of logs, we can bring a down and multiply it by log(5):
a * log(5) = log (1/125)
Step 4: Divide both sides by log(5) to solve for a:
(a * log(5) = log(1/125)) / log(5)
a = -3
Optional 5: We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:
5^-3 = 1/125
1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator
1/125 = 1/125