Answer:
option 2
Step-by-step explanation:
Answer:
Option 2
Step-by-step explanation:
Option 2
x is 4
y is -4
In circle Y, the measure of arc CD is f radians. The length of diameter segment ED is 24.
What is the area of sector CYD in terms of f?
The area of the sector is 72f
How to determine the area of the sector?The given parameters are:
Angle = f
Diameter = 24
Start by calculating the radius
r = Diameter/2
r = 24/2
r = 12
The area of the sector is
A = (θ/2) × r^2
So, we have
A = (f/2) * 12^2
Evaluate
A = 72f
Hence, the area of the sector is 72f
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Find m/1.
130°
1
90°
t
The measure of the angle m1 is 110 degrees
How to determine the measure of angle m1?The measures of the arcs are given as:
Arc 1 = 130
Arc 2 = 90
The measure of the angle is calculated using:
Angle = 0.5 * (Arc 1 + Arc 2)
So, we have:
Angle = 0.5 * (130 + 90)
Evaluate
Angle = 110
Hence, the measure of angle m1 is 110 degrees
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Can someone pls show how to do this is with explanation
Answer:
4.16%
Step-by-step explanation:
You can use the equation below to solve such questions
\(\% \: profit = \frac{(selling \: price - cost \: price)}{cost \: price} \times 100\)
Substitute the values in the question to the equation
\( = \frac{(1250 - 1200)}{1200} \times 100\)
\( = 4.16\%\)
Answer:
Step-by-step explanation:
You basically just need to know the profit percentage equation which is
Profit % = \(\frac{Profit}{Cost Price}\) x \(100\)
Subtract the cost price from the selling price to get the profit (1250 - 1200 = 50) and then divide that by the cost price. Then multiply by 100 to get the percentage.
Profit % = \(\frac{1250-1200}{1200}\) x \(100\)
Profit % = \(\frac{50}{1200}\) x \(100\)
Profit % = 0.04166 x 100 = 4.2
Therefore, there is a 4.2 % profit.
Which of the following ordered pair could NOT be included in this set if it is a function?
{(-4, 2), (3, 6), (4,3), (x, y) }
A (x, y) = (-3, 6)
B (x, y) = (1, 2)
C (x, y) = (3,6)
D (x, y) = (4, -3)
Answer:
B is the right answer and if you add
What dose median mean
the median is the middle number in a set of numbers.
in the set 2246889, 6 would be the median
Answer:
the number that is in the middle of a list
Step-by-step explanation:
for example, if you have the numbers 5, 3, 8, 7, and 10, first you would make the list numerical from least to greatest. So the list would be 3,5,7,8,10. next, we see that it is an odd amount of numbers, there are 5 numbers. So we go see what the middle number is, which is 7. So 7 would be the median. If you're dealing with an even list, for example, 2,4,5,8. Then we would take the 2 middle numbers, 4 and 5. Add these 2 together, in this case we would get 9, and then divide by 2. So in this case, we would get 4.5! I hope this helped could i maybe get brainliest?!
Celine surveyed 14 students at her school about their favorite professional sports. Of the students surveyed, 6 said tennis was their favorite sport. What is the experimental probability that the next student Celine talks to will pick tennis?
Answer:
3/7 (simplified)
Step-by-step explanation:
The original answer would be 6/14 because 6 out of 14 people said tennis. However, you divide both by 2 to get 3/7. The percent would be 42% if that is needed.
the distance from city a to city b is 256.8 miles. the distance from city a to city c is 739.4 miles how much farther is the trip to city c than the trip to city b
Taking a difference, we can see that the trip to city C is 482.6 mi longer.
How much farther is the trip to city c than the trip to city b?
Here we know that the distance from city a to city b is 256.8 miles, and the distance from city a to city c is 739.4 miles
To find how much farther is the trip to city c than the trip to city b, we just need to take the difference between the two distances above.
That means that we need to take the distance to city c and subtract the distance to city b.
We will get:
739.4 mi - 256.8 mi = 482.6 mi
The trip to city C is 482.6 mi more than the trip to city B.
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A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. the patient currently has a bone density of 1, 500 kg / m * g ^ 3 the doctor writes an exponential function to represent the situation. which should the doctor use for a and b in a function written in the form f(x) = a * b ^ x where f(x) represents the bone density after x years ?
Answer:
a = 1500 b = .97
Step-by-step explanation:
1500 ( .97)^x = bone density after n years
3% loss leave 97% each year (.97 in decimal)
Decision Tree
Deviation from Standard
Fallacy of Composition
Six Honest Servingmen
Logic Box
So What? What if?
Solution Pentagon
Decision Diamond
Selective Perception
Meaningful Experience
Action T.N.T.
Action Path
Question 10) The manager that you replaced had implemented a policy to bring people back into the office after people had spent two years working primarily from home. Now three months later, productivity has stayed noticeably lower. Everyone is looking to you to make a decision on what we will do going forward. Which of the above best practices might help you as a supervisor make a decision on how to proceed on this policy?
Selective Perception and Action Path can help in making a decision on whether to continue or modify the policy by considering biases in perception and developing a clear plan of action based on gathered information and stakeholder input.
In the given scenario, several of the mentioned best practices can be useful for making a decision on how to proceed with the office policy. Let's explore some of them:
1. Deviation from Standard: This best practice suggests considering alternative approaches to the existing policy. You can analyze whether the current policy of bringing people back into the office is still effective and explore other possibilities, such as a hybrid model or flexible work arrangements.
This allows you to deviate from the standard approach and adapt to the current situation.
2. Six Honest Servingmen: This principle encourages asking critical questions to gather relevant information. You can apply this by gathering feedback from employees to understand their perspective on productivity, job satisfaction, and the impact of working in the office versus remotely.
By considering the opinions and experiences of your team members, you can make a more informed decision.
3. So What? What if?: This approach involves considering the potential consequences and exploring different scenarios. You can ask questions such as "What if we continue with the current policy?" and "What if we modify the policy to accommodate remote work?"
By evaluating the potential outcomes and weighing the pros and cons of each option, you can make a decision based on informed reasoning.
4. Meaningful Experience: This principle emphasizes the importance of drawing insights from past experiences. In this case, you can review the productivity data from the two years of remote work and compare it to the three months since the return to the office.
If there is a noticeable decrease in productivity, you can take this into account when deciding whether to continue with the current policy or make adjustments.
5. Action Path: This best practice involves developing a clear plan of action. Once you have considered the various factors and options, you can create an action plan that outlines the steps to be taken.
This could involve conducting surveys, seeking input from team members, analyzing data, and consulting with relevant stakeholders. Having a well-defined action path can help you make an informed decision and communicate it effectively to your team.
By applying these best practices, you can gather information, analyze the situation, consider different perspectives, and develop a well-thought-out plan for how to proceed with the office policy.
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Solve the system of equations 3x+2y= 28 x+2y=8
Answer:
y= -1 x=10
(-1,10)
consistant independent
write the correct function represented in the table below
HELP ASAP
Answer:
Step-by-step explanation:
y=X-2
show that β=3α, by calculating the infinitesimal change in volume dv of a cube with sides of length l when the temperature changes by dt.
To show that β=3α, where β represents the volumetric thermal expansion coefficient and α represents the linear thermal expansion coefficient, we can calculate the infinitesimal change in volume (dv) of a cube with sides of length l when the temperature changes by dt.
The linear thermal expansion coefficient α is defined as the fractional change in length per unit change in temperature. Similarly, the volumetric thermal expansion coefficient β is defined as the fractional change in volume per unit change in temperature.
Let's consider a cube with sides of length l. The initial volume of the cube is \(V = l^3\). Now, when the temperature changes by dt, the sides of the cube will also change. Let dl be the infinitesimal change in length due to the temperature change.
The infinitesimal change in volume, dv, can be calculated using the formula for differential calculus:
\(\[dv = \frac{{\partial V}}{{\partial l}} dl = \frac{{dV}}{{dl}} dl\]\)
Since \(V = l^3,\) we can differentiate both sides of the equation with respect to l:
\(\[dV = 3l^2 dl\]\)
Substituting this back into the previous equation, we get:
\(\[dv = 3l^2 dl\]\)
Now, we can express dl in terms of dt using the linear thermal expansion coefficient α:
\(\[dl = \alpha l dt\]\)
Substituting this into the equation for dv, we have:
\(\[dv = 3l^2 \alpha l dt = 3\alpha l^3 dt\]\)
Comparing this with the definition of β (fractional change in volume per unit change in temperature), we find that:
\(\[\beta = \frac{{dv}}{{V dt}} = \frac{{3\alpha l^3 dt}}{{l^3 dt}} = 3\alpha\]\)
Therefore, we have shown that β = 3α, indicating that the volumetric thermal expansion coefficient is three times the linear thermal expansion coefficient for a cube.
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4m exponent 2 + 5m
help please
\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)
4m exponent 2 + 5m.\( \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}\)
By.. 4m exponent 2, I'm going to assume that you meant this ⇨ 4m². If so, then here's how you should solve your question. I've included 2 ways of solving the question. You can choose your method. I'd suggest the 2nd one since it's a whole lot easier than the first method.
Method 1 :-\( \tt \: 4m ^ { 2 } +5m \\ \)
Quadratic polynomial can be factored using the transformation \(\tt\: ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right)\), where \(\tt\:x_{1} and x_{2}\) are the solutions of the quadratic equation ax²+bx+c=0.
\( \tt \: 4m^{2}+5m=0 \)
All equations of the form ax²+bx+c=0 can be solved using the quadratic formula: \(\tt\frac{-b±\sqrt{b^{2}-4ac}}{2a}\\ \). The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
\( \tt \: m=\frac{-5±\sqrt{5^{2}}}{2\times 4} \\ \)
Take the square root of 5².
\( \tt \: m=\frac{-5±5}{2\times 4} \\ \)
Multiply 2 times 4.
\( \tt \: m=\frac{-5±5}{8} \\ \)
Now solve the equation m=\(\tt\frac{-5±5}{8}\) when ± is plus. Add -5 to 5.
\( \tt \: m=\frac{0}{8} \\ \\ \tt \: m = 0\)
Now solve the equation m=\(\tt\frac{-5±5}{8} \) when ± is minus. Subtract 5 from -5.
\( \tt \: m=\frac{-10}{8} \\ \)
Reduce the fraction -10/8 to its lowest terms by extracting and cancelling out 2.
Factor the original expression using \(\tt\:ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right)\). Substitute 0 for \(\tt\:x_{1} \:and \:-\frac{5}{4} \:for\: x_{2}\).
\( \tt \: 4m^{2}+5m=4m\left(m-\left(-\frac{5}{4}\right)\right) \\ \)
Simplify all of the expressions of the form \(\tt\:p-\left(-q\right)\) to p+q.
\( \tt \: 4m^{2}+5m=4m\left(m+\frac{5}{4}\right) \\ \)
Add 5/4 to m by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.
\( \tt \: 4m^{2}+5m=4m\times \left(\frac{4m+5}{4}\right) \\ \)
Cancel out 4, the greatest common factor in 4 and 4.
\( \tt \: 4m^{2}+5m= \boxed{\boxed{\bf \: m\left(4m+5\right) }}\)
Don't worry. If this process seems long & wears you out or if you haven't learned the biquadratic formula yet, you can just use the simple method of factoring out the common term (m). Here's how you do that \(\downarrow\)
Method 2 :-\( \tt \: 4m ^ { 2 } +5m\)
Factor out m.
\( = \boxed{ \boxed{ \bf \: m\left(4m+5\right) }}\)
See, the second method is easier. But, if your question comes for a lot of marks then you might prefer using the first method.
An alloy contains zinc and copper in the ratio 7 : 9. Find the weight of copper if it has 31.5 kg of zinc
24.5 kg
first you have to divide 31.5 by 9, which is 3.5
then you multiply 7 by 3.5 to get 24.5
Find the difference between points M(6, 16) and Z(-1, 14) to the nearest tenth.
The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.
We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:
d = √((x2 - x1)² + (y2 - y1)²)
where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:
d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1
Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.
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Davis is building a wooden bench. He has 2 3/5feet of lumber in his garage and buys 8 1/2feet of lumber at the store. How many total feet of lumber does he now have?
Answer:
Below.
Step-by-step explanation:
2 3/5 + 8 1/2
= 2 + 8 + 3/5 + 1/2
= 10 + 3/5 + 1/2
The LCM of 5 and 2 is 10 so we get:
10 + 6/10 + 5/10
= 10 + 11/10
= 10 + 1 1/10
= 11 1/10 feet.
What is the greatest common factor of 96 and 72
First, do the prime factorization.
96 = 2 x 2 x 2 x 2 x 2 x 3
72 = 2 x 2 x 2 x 3 x 3
The GCF is the product of their shared factors.
They share 2, 2, 2, and 3.
2 x 2 x 2 x 3 = 24.
Their GCF is 24.
The greatest common factor of the given numbers 96 and 72 will be equal to 24.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given number for GCF in the question,
Firstly, factorize the given numbers,
96 = 2 x 2 x 2 x 2 x 2 x 3
72 = 2 x 2 x 2 x 3 x 3
The result of their shared factors is the GCF.
2 x 2 x 2 x 3 = 24.
Therefore, the GCF is 24.
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the following data were collected from a simple random sample from an infinite population. 13 15 14 16 12 the mean of the population .
The mean of the population can be estimated using the sample mean, which is the average of the data collected from a simple random sample. In this case, the sample data consists of the numbers 13, 15, 14, 16, and 12.
To find the sample mean, we add up all the values in the sample and divide it by the total number of values. In this case, the sum of the sample values is 13 + 15 + 14 + 16 + 12 = 70. Since there are 5 values in the sample, the sample mean is calculated as 70 / 5 = 14.
The sample mean is an estimate of the population mean. It provides information about the central tendency of the population based on the collected sample. In this case, the sample mean of 14 is an estimate of the mean of the entire population from which the sample was taken.
It's important to note that the sample mean may not be exactly equal to the population mean, but it provides a good estimate when the sample is representative of the population and selected through a random sampling method.
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Why is the square root of 4 only 2 and not 2?
The fact that four identical unit objects arranged in a square formation would produce a square with length 2, rather than length -2, provides the logical basis for the fact that the "principal" square root of 4 is 2 rather than -2.
What is the square root?
The factor that can be multiplied by itself to obtain a given number is known as the square root. The square root is represented by The opposite of squaring a number is finding its square root.
According to the given question:
The value of root 4 exactly corresponds to 2. However, we can say that there are always two roots for any given number, and that the roots can be either positive or negative. Consequently, the value of root 4 is 2, or +2 and -2 (positive 2 and negative 2).
Hence ,the square root of 4 only 2 and not - 2.
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please help it's due in a few minutes.
Answer:
I'm not 100% sure, but I'd say 3/1 since:
Step-by-step explanation:
6 goes into 18 three times, 5 goes into 15 three times, 8 goes into 24 three times.
True or false? When comparing the results of multiplying polynomials using the horizontal method and the vertical method, the vertical method is more accurate than the horizontal method.
Answer: FALSE
Step-by-step explanation;
how to find 3 to the power of x equals 2187?
i need a step by step detail on how to solve it.
Answer: \(x=7\)
Step-by-step explanation:
\(3^x=2187\\\\x=\log_{3} (2187)\\\\x=7\)
For conservative forces, force can be fouind as being the negative of the deriviation of?
For conservative forces, force can be fouind as being the negative of the deriviation of potential energy.
What is a conservative force?It should be noted that a conservative force simply means the force in moving a particle from a particular point to another. In this case, the force is independent of the path that's taken by the particle.
It should be noted that F = du/dr as u is the potential energy. Therefore, force is the negative derivative of the potential energy.
Therefore, for conservative forces, force can be fouind as being the negative of the deriviation of potential energy.
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Complete question
For conservative forces, force can be fouind as being the negative of the deriviation of?
momentum
kinetic energy
impulse
work
potential energy
HELLLLLPP FASSTT PLZZZZ!!!!!! U ANSWER THIS THANNNKKK YOU
Answer:
1) No
2) 4/8 or 1/2
3) 2/8 or 1/4
4) 4/8 or 1/2
5) No
6) 1/8
7) No
What are the coordinates of the vertex of the function f(x)=x2+10x-3?
(-5, -28)
(-5, 28)
(5,-28)
(5, 28)
Answer:
(-5, -28)
Step-by-step explanation:
\(f(x) = {x}^{2} + 10x - 3\)
\( = f(x) = {1x}^{2} + 10x - 3\)
= a = 1, b = 10
\( = x = \frac{10}{2 \times 1} \)
\( = x = - \frac{10}{2} \)
= x = -5
\( = f(x) = {x}^{2} + 10x - 3..x = - 5\)
\( = f( - 5) = - 28\)
= (-5, -28)
Answer:
A) -5, -28 is correct!
Step-by-step explanation:
Directions: Write the following in exponent form.Hint: To write an exponent, use the ‘carat’ sign. This can be typed by holding down the shift key and typing the number 6. (^)For example, 2^2 means 2 x 2, or 22, and 3^means 3 x 2, or 32.1) Five squared2) Eight to the 5th power3) Nine cubed4) 2 x 2 x 2 x 25) 7 x 7 x 7 x 7 x 7 x 76) 2.3 x 2.3
Given
1) Five squared
2) Eight to the 5th power
3) Nine cubed
4) 2 x 2 x 2 x 2
5) 7 x 7 x 7 x 7 x 7 x 7
6) 2.3 x 2.3
Find
Write each in exponential form
Explanation
The exponential form is the easiest way of writing repeated multiplication involving base and exponents.
1 ) Five Squared = 5^2
2) Eight to the 5th power = 8^5
3) Nine cubed = 9^3
4) 2 x 2 x 2 x 2 = 2^4
5) 7 x 7 x 7 x 7 x 7 x 7 = 7^6
6) 2.3 x 2.3 = (2.3)^2
Final Answer
Hence , the exponential form are
1 - 5^2
2 - 8^5
3 - 9^3
4 - 2^4
5 - 7^6
6 - (2.3)^2
You can think of an array as a collection of variables contained within a single variable.a. Trueb. False
The correct answer is option A - True. An array is a data structure in programming that allows you to store a collection of values of the same data type in a single variable.
Each value is assigned an index number, starting from 0, which represents its position in the array. Arrays are useful in programming because they allow you to store and manipulate multiple values using a single variable. This can help simplify code and make it more efficient.
For example, if you wanted to store the grades of 10 students in a program, you could create an array of 10 elements and assign each grade to a specific index in the array. In addition to storing data, arrays can also be used to perform calculations and manipulate data.
For example, you could use a loop to iterate through an array and calculate the average of all the values stored in the array. Overall, arrays are a powerful tool in programming that can help you organize and manipulate data.
By thinking of an array as a collection of variables contained within a single variable, you can better understand how arrays work and how to use them effectively in your programs.
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Mayerlin read 28 1/2 pages in 2/3 of an hour. At what rate, in pages per hour, did she read?
Answer: 42.75 in page per hours
Step-by-step explanation:
\(28\frac{1}{2} \ =\ \frac{2}{3} \\\\x \ = \ 1\)
Hence,
\(\displaystyle\\x=\frac{28\frac{1}{2}*1 }{\frac{2}{3} } \\\\x=\frac{\frac{28*2+1}{2} }{\frac{2}{3} } \\\\x=\frac{3*(56+1)}{2*2} \\\\x=\frac{3*57}{4} \\x=\frac{171}{4}\\\\x= 42.75\)
what the last number
Answer:
6453422487457245248525657894762356142124548769807-8569438623`53``24687805768352132446879t7458354625431`3227877976543212345678909876543211234567890987654321`234567890987654321234567890987654321234567890987654321234567890987654321234567890987654321234567890-09876543234567890987654321234567890098765432109876543212345678909876543212345678909876543212345678909876543212345678909876543212345678909876543212345678909876543212
Step-by-step explanation:
A scuba diver starts at 85 3/4 meters below the surface of the water and descends until he reaches 103 1/5
meters below sea level. How many meters did he descend?
MUST SHOW WORK
you get EXTRA points if you show your WORK!
good luck please solve this :)
Answer:
From his starting point of 85 3/4, he descended 17 9/20 meters
Step-by-step explanation:
We want to know how much farther he went down from his starting point.
103 1/5 - 85 3/4
S
tart off by making the denominators of both the numbers the same.
103 1/5 - 85 3/4
103 4/20 - 85 15/20
Make them into improper fractions
2064/20 - 1715/20 = 349/20
Make 349/20 into a mixed fraction
17 9/20