Answer:
Option B.
Step-by-step explanation:
The general equation of best fit line is
\(y=ax+b\)
where, a is the slope of best fit line and b is y-intercept.
Using graphing calculator a=-4.54762 and b=43.7143. So equation of best fit line is
\(y=-4.54762x+43.7143\)
Here,
\(Slope=-4.54762\)
\(Slope\approx -4.5\)
Note: In alternate method, you can use the below formula to find slope.
\(m=\dfrac{\overline{x}\cdot \overline{y}-\overline{xy}}{(\overline{x})^2-\overline{x^2}}\)
Therefore, the correct option is B.
Answer:
B: -4.5
Step-by-step explanation:
edg2021
y ≈ -4.548x + 43.714 is the entire equation. So -4.548 or -4.5 is the slope.
Which expression is equivalent to 2(4t)
Answer:
something
Step-by-step explanation: they need numbers
Consider the binomial theorem to expand (2 x+2 y)^{4} . What is the coefficient of the x^{2} y^{2} term? You must illustrate use of the binomial theorem for full credit.
The coefficient of the x2y2 term in the expansion of (2x + 2y)4 using the binomial theorem is 216.
Binomial Theorem:
The binomial theorem is a mathematical equation that defines the expansion of powers of a binomial expression.
In algebra, the binomial theorem is utilized to calculate the expansions of expressions (x + y) raised to the nth power, where n is a non-negative integer.
For the term x²y² to appear in the expansion of (2x + 2y)4 , we require two x’s and two y’s.
For each x, we can choose any one of the 2 x’s in (2x) and for each y, we can choose any one of the 2 y’s in (2y).
Thus, the coefficient of the x²y² term is the number of ways we can choose two x’s from four x’s and two y’s from four y’s.
Therefore, applying the binomial theorem for the expansion of (2x + 2y)4 , we obtain:
(2x + 2y)4 = 4C04!(2x)4+ 4C14!(2x)3(2y)+ 4C24!(2x)2(2y)2+ 4C34!(2x)(2y)3+ 4C44!(2y)4
Simplifying the above equation we get the following expression:
(2x + 2y)4 = 16x4+ 96x3y+ 216x2y²+ 216xy³+ 16y4
Therefore, the coefficient of the x2y2 term is 216.
Therefore, the coefficient of the x²y²term in the expansion of (2x + 2y)4 using the binomial theorem is 216.
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7) What is the SECOND step in simplifying the equation below?
4 - 3y = 31
Answer:
subtract 4 from both sides
Step-by-step explanation:
you will then get -3y=27 as your equation then you just divide each side by -3 and your answer will be y = -9
Answer:
Step-by-step explanation:
4 - 3y = 31
Step 1: Subtract 4 from both sides
-3y = 31 -4
-3y = 27
Step 2: Divide both sides by (-3)
\(\dfrac{-3y}{-3}=\dfrac{27}{-3}\)
y = -9
Which is the best estimate of -14 1/9 (-2 9/10)?
Answer:
45.43
Step-by-step explanation:
12x + 25 < 6 +5 what is x < than
Answer:
x < -7/6
Step-by-step explanation:
In a equation that show a greater than or less than sign can be a equal sign .
Y=5x
A proportional relationship
Yes, the equation y = 5x represents a proportional relationship
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is y=5x.
In a proportional relationship, the ratio of y to x is constant.
In the given equation the variable x and y has a proportional relationship.
The equation is in the form of y=mx+b
the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.
Hence, Yes, the equation y = 5x represents a proportional relationship
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Fernanda and Jose were working on an assignment in their geometry class in which they were to write the equation of the graph below.Explain and analyze each students equation in relation to the graph. Please show work
Answer:
yes they both are wrong
Step-by-step explanation:
Center of the Circle is (h,I) which is (4,-3)
so h= 4 and k = -3
radius is 4 units (3+1)
Equation for circle
\((x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} \)
substitute all the values in this equation
\((x - 4) { }^{2} + (y - ( - 3)) {}^{2} = 4 {}^{2} \\ (x - 4) {}^{2} + (y + 3) {}^{2} = 16\)
Which club has the greater initial value? Which club has the greater rate of change?
Describe what this means in the context of the problem.
3 Lesson 7 Compare Functions
2
Downloaded by F. Rumble at 18K066 PS 66. This resource expires on 6/30/2023.
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Copying
The initial value of A is 3, The initial value of B is 2.25 and club B has a greater rate of change.
What is function?Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.
Given:
The graph of club A and the values of club B is given,
Calculate the initial value of A and B as shown below,
The initial value of A = 3,
The initial value of B = 2.25
Hence, A has a greater initial value,
Calculate the rate of change as shown below,
The rate of change for club A = 3.75 / 2.25
The rate of change for club A = 1.67
The rate of change for club B = 4 / 3
The rate of change for club B = 1.33
Thus, the rate of change is higher for club B.
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Lakisha’s employer pays $2,150 in health insurance and $86 in life insurance per year. she also gets $3,520 in paid time off per year. her monthly gross pay is $4,370. what are lakisha’s total job benefits per year? a. $5,756 b. $10,126 c. $52,440 d. $58,196 please select the best answer from the choices provided a b c d
Lakisha's total job benefits per year are (D) $58,196.
What are employees' benefits?Employee perks and benefits in kind are non-wage compensation provided to employees in addition to their regular income or salary. A "salary package" or "salary exchange" arrangement is one in which an employee exchanges salaries for some other type of compensation.To find Lakisha's total job benefits:
If Lakisha's employer pays $2,150 in health insurance and $86 in life insurance per year, and she also gets $3,520 in paid time off per year, then Lakisha's total job benefits per year are equal to:
Total Benefits = Health Insurance + Life Insurance + Paid Time Off + Annual Gross Pay
Total Benefits= $2,150+$86+$3,520+12($4,370)Total Benefits= $2,150+$86+$3,520+$52,440Total Benefits=$58,196Therefore, Lakisha's total job benefits per year are (D) $58,196.
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Answer The answer is D
Step-by-step explanation:
I got it correct on edg
An advertising company is purchasing a new industrial-sized color printer. The company has been approved for a $75,000 loan at two different
banks. The terms of each loan are:
Offer 1: 4.99% annual simple interest, with a total account balance of $91,529.38 after a 53-month term
Offer 2: 3.5% annual interest compounded monthly for a 62-month term
Assuming no payments are made, what is the difference in the account balances at the end of the loan terms. Round your answer to the nearest
penny.
O $1,624.49
$1,686.87
$1,894.02
O $2,207.67
The difference in the account balances at the end of the loan terms is given as follows:
$1,686.87.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
In which:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.The parameters for the offer 2 are given as follows:
P = 75000, r = 0.035, n = 12, t = 62/12.
Hence the balance of the offer 2 is given as follows:
B = 75000 x (1 + 0.035/12)^(12 x 62/12)
B = $89,842.51.
The balance of Offer 1 is of $91,529.38, hence the difference in the balances is given as follows:
91529.38 - 89842.51 = $1,686.87.
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andy's lawn has twice as much area as beth's lawn and three times as much area as carlos' lawn. carlos' lawn mower cuts half as fast as beth's mower and one third as fast as andy's mower. if they all start to mow their lawns at the same time, who will finish first?
In the given word problem, they all start to mow their lawns at the same time, Beth will finish first.
Let's assume that Beth's lawn has an area of x, so Andy's lawn has an area of 2x, and Carlos' lawn has an area of (1/3) × 2x = (2/3)x. Let's also assume that Beth's lawn mower can mow at a rate of 1 unit of area per hour, so Carlos' mower can mow at a rate of 1/2 = 0.5 units of area per hour, and Andy's mower can mow at a rate of 1/3 units of area per hour. We can calculate the time it will take each person to mow their lawn by using the formula:
Time = Area / Rate.
Beth's time = x / 1
= x hours
Carlos' time = (2/3)x / 0.5
= (4/3)x hours
Andy's time = 2x / (1/3)
= 6x hours
According to these facts, it is quite clear that Beth would finish first followed by Carlos and Andy would finish last.
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Find the missing angle measure.
Answer:
x=83º
Step-by-step explanation:
The interior angle sum of a Hexagon is 720º
146+169+59+129+134+x=720
x=720-637
x=83
In a bag of Christmas treats,there are 3 red candy canes for every 5 gingerbread men. If there are a total of 40 treats, how many are candy canes?
Answer:
Candy canes are a classic Christmas treat, traditionally white with red stripes and flavored with peppermint. They have been popular since the 1600s and are thought to have originated in Germany. Today, 90 percent of all candy canes are sold between Thanksgiving and Christmas.
In a bag of Christmas treats, there are 3 red candy canes for every 5 gingerbread men. If there total is 40 treats, then the number of candy canes will be 24. This can be calculated by taking 40 divided by 8 (5+3) which equals 5, and then multiplying this by 3 which equals 15. Therefore, 24 candy canes are included in the bag of 40 Christmas treats.
Step-by-step explanation:
A line passes through the point (3,-1) and has a slope of -2/3. Which of the following points also lies on this line?
A. (9,5)
B. (-3,1)
C. (6,3)
D. (-9,7)
Answer:
I think its D. -9,7
Step-by-step explanation:
Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less.
Starting from a full tank, can Diego’s family drive the car for 25 days without the warning light coming on? Explain or show your reasoning.
I don't understand this and I need this quick
Answer:
no
Step-by-step explanation:
Helppppppppp !!!!!!!!!!!
Answer:
The length of AB is 4, the measure of angle RQP is defense
For the shown frame, if member fal has distribution factor of 0.25 and member CD had distribution factor of 0.21, what is the distribution factor for member CC1 and CC2. knowing they are equal? *
The distribution factor for members CC1 and CC2 in the given frame is 0.27.
To find the distribution factor for members CC1 and CC2 in the given frame, we need to use the principle of virtual work or the method of consistent deformations.
Since member CD has a distribution factor of 0.21, it means that when a unit load is applied at joint C, member CD carries 0.21 units of that load. Similarly, member CF carries 0.25 units of the load applied at joint C.
Since members CC1 and CC2 are equal, we can assume that they carry an equal proportion of the load applied at joint C. Let's denote the distribution factor for members CC1 and CC2 as x. Therefore, the load carried by member CC1 would be x units, and the load carried by member CC2 would also be x units.
According to the principle of equilibrium, the total load applied at joint C should be equal to the sum of the loads carried by each member connected to it. In this case, we have:
0.21 + 0.25 + x + x = 1
Simplifying the equation:
0.46+2x=1
Subtracting 0.46 from both sides:
2x=1−0.46
2x=0.54
Dividing both sides by 2:
x=0.27
Therefore, the distribution factor for members CC1 and CC2 in the given frame is 0.27.
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I am between 30 and 50.
The sum of my digits is 10.
My ones digit is greater than
my tens digit. I am not 37.
Who am I?
This is the table im working with. It cut off the left side of the screen. The top row is smartphone players, the second row is console player, and the last row is pc players. My question is "Jacob is male and Leslie is female. Which of the following is more likely? The probability that Jacob prefers to play on smartphone or the probability that Leslie prefers to play on smartphone?"
Answer:
The probability that Jacob prefers to play on smartphone
Step-by-step explanation:
male is 52 whereas female is only 48, in fact, female is lower on all of them.
52% more likely for Jacob and only 48% likely for Leslie.
Sorry if wrong....
Gross profit margin (GPM) measures the amount of gross profit (GP) generated with net sales. It gives us the company’s ability to earn profit on its inventories. Higher the ratio, more favorable it is. Compute it as follows:
Gross Profit Margin (GPM) is a metric used to calculate the percentage of gross profit earned by a business on its sales. The gross profit is calculated as revenue minus cost of goods sold (COGS), and the formula for gross profit margin is:(Gross Profit ÷ Revenue) x 100%.
The gross profit margin reveals the percentage of sales that turn into gross profit. A company with a higher gross profit margin has a better chance of generating a good profit than one with a lower gross profit margin. The gross profit margin formula allows companies to determine how much revenue is remaining to cover operating expenses and net profit. In computing gross profit margin, the following steps should be taken:
First, calculate gross profit as follows: Revenue - Cost of Goods Sold (COGS) = Gross Profit.
Then, use this formula to compute gross profit margin: Gross Profit ÷ Revenue x 100%.
The gross profit margin is an important ratio used to assess a company's profitability. It is important because it reflects the percentage of sales that contribute to covering operating expenses and generating net profits. A higher gross profit margin ratio indicates that a company is earning enough on sales to cover its operating expenses and generate profits.However, one of the major drawbacks of using gross profit margin as a profitability metric is that it does not account for operating expenses. This is why it is important to calculate other profitability metrics, such as operating profit margin, to gain a complete picture of a company's profitability.It is also important to compare gross profit margins over time and with industry averages to determine how a company is performing relative to its peers. A declining gross profit margin may indicate increasing costs, pricing pressures, or a shift in product mix. Conversely, an increasing gross profit margin may suggest that the company has a competitive advantage, pricing power, or is reducing its costs.
In summary, the gross profit margin measures the percentage of revenue that contributes to gross profit. A higher gross profit margin indicates that a company is earning enough on sales to cover its operating expenses and generate profits. However, it is important to compare gross profit margins over time and with industry averages to determine how a company is performing relative to its peers. Finally, it is important to use other profitability metrics, such as operating profit margin, to gain a complete picture of a company's profitability.
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i)
\(3 \sqrt{3} \times \sqrt{3} \)
Answer:
9Step-by-step explanation:
\(3\sqrt{3}\times\sqrt{3}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a\\\\\sqrt{3}\sqrt{3}=3\\\\=3\times\:3\\\\=9\)
given that f(x)=x*x -1 find f(5)
Answer: 24
Step-by-step explanation: 5(5)-1=24
Answer: 24
Step-by-step explanation: I help ;)
a sample of a population taken at one particular point in time is categorized as:
Answer:
Cross-Sectional Study
Step-by-step explanation:
Ex2. Prime Numbers ( 40 points) You will implement in this exercise an ancient Greek algorithm for finding the prime numbers less than a given number. (ask your instructor about the name of the algorithm after class!) Reminder: A prime number is a positive integer greater than 1 that is divisible only by itself and by 1 . Here is how the algorithm works assuming we would like to find the prime numbers ≪=20 : 1. Initially, assume that all the numbers are prime by marking them with 1 (0 means not prime). 2. For each number that is marked as prime, starting at 2, mark all of its multiples as not prime. which marks all the multiples of num in the array (of size n ) as not prime (excluding num). 2. Write a program that prints the prime numbers κ=150 : a) Create and initialize an array for marking the numbers with 0 (not prime) or 1 (prime). b) For every number 2<=i<150, use function cross_multiples_out to mark all of its multiples as not prime. c) Pass through the array and print the numbers marked as prime.
Previous question
The code efficiently identifies prime numbers using the ancient Greek algorithm. It initializes an array, marks the multiples of each prime number as non-prime, and then prints the prime numbers.
This algorithm demonstrates a straightforward and efficient method for finding prime numbers within a given range.The ancient Greek algorithm for finding prime numbers less than or equal to a given number is implemented in the provided Python code. The algorithm follows a simple approach of marking numbers as prime or non-prime.
It starts by assuming all numbers as prime and then proceeds to mark the multiples of each prime number as non-prime. The code initializes an array where each element represents a number and marks them all as prime initially. Then, it iterates over each number from 2 to the given number, checking if it is marked as prime. If it is, the algorithm crosses out all its multiples as non-prime. Finally, it prints the numbers that remain marked as prime.
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$9, 100 is invested in an account earning
3% interest (APR), compounded quarterly.
Write a function showing the value of the
account after t years, where the annual
growth rate can be found from a constant
in the function. Round all coefficients in
the function to four decimal places. Also,
determine the percentage of growth per
year (APY), to the nearest hundredth of a
percent.
Answer: A = P(1 + r/n)^(nt)
Where
A is the future value of the account
P is the initial principal amount, which is $9,100
r is the annual interest rate, which is 3%
n is the number of times the interest is compounded per year, which is 4 (quarters)
t is the number of years
So the function for the value of the account after t years is:
A = 9100(1 + 0.03/4)^(4t)
To determine the percentage of growth per year (APY), we can use the formula:
APY = ( (A/P)^(1/t) - 1) * n
In this case,
APY = ( (A/9100)^(1/t) - 1) * 4
APY represents the annual percentage yield, which is the interest rate taking compounding into account.
Please note that in the above expression the coefficient 0.03 is rounded to four decimal places as instructed.
Step-by-step explanation:
3x−1/5 = x+1/3 plz help me
Answer:
\(\huge\boxed{\sf x = 2 }\)
Step-by-step explanation:
\(\sf \frac{3x-1}{5} = \frac{x+1}{3} \\\\Cross \ Multiplying \\\\3(3x-1) = 5(x+1)\\\\9x - 3 = 5x+5\\\\Combining \ like \ terms\\\\9x-5x = 5+3\\\\4x = 8 \\\\Dividing \ both \ sides \ by \ 4\\\\x = \frac{8}{4}\\\\\boxed{\sf x = 2 }\\\\\rule[225]{225}{2}\)
Hope this helped!
~AnonymousHelper1807Which of the following choices lists the values of the side lengths of a triangle with 45-45-90 degree angles and a hypotenuse = 24?
√2, √2, 24
24√2, 24√2, 12
24, 24, 24√2
12√2, 12√2, 24
The sides of the triangle are (d) 12√2, 12√2, 24
How to determine the side lengths?The given parameters are:
Hypotenuse = 24Angle = 45-45-90 degree anglesIn a 45-45-90 degree angle triangle, we have:
Hypotenuse = Opposite√2 and Hypotenuse = Adjacent√2
This means that:
Opposite =Adjacent
So, we have:
24 = Adjacent√2
Divide both sides by √2
Adjacent = 24/√2
Evaluate
Adjacent = 12√2
This means that:
Opposite = 12√2
Hence, the sides of the triangle are (d) 12√2, 12√2, 24
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Rewrite the equation: y-3 = -1/2(x + 2), in slope-intercept form.
Find the area of a semicircle with a diameter of 24 inches. Round your answer to the nearest hundredth.
Answer:
18.84 in²
Step-by-step explanation:
The area of a circle is:
\(A=\pi r^2\)
Therefore the area of a semicircle (half a circle) would be:
\(A=\frac{1}{2}\pi r^2\)
First, let's start by finding the radius. Since the radius is half of the diameter then it is:
\(\frac{1}{2}*24=\frac{24}{2}=12\)
Now, let's plug this into the equation and solve for the area (I will use 3.14 for π as the question asks for a decimal approximation):
\(A=\frac{1}{2}*12*3.14\\A=6*3.14\\A=18.84\ in^2\)
or the circle below, find the equation that represents that circle.
The general form for the equation of a circle is given by:
\((x-x_0)^2+(y-y_0)^2=r^2...(1)\)Where (x₀, y₀) are the coordinates of the center, and r is the radius. From the problem, we identify:
\(\begin{gathered} (x_0,y_0)=(1,0) \\ r=3 \end{gathered}\)Finally, using (1):
\(\begin{gathered} (x-1)^2+(y-0)^2=3^2 \\ \\ \therefore(x-1)^2+y^2=9 \end{gathered}\)