LM is the directed line segment from L(2, 4) to M (8, 10) Find the coordinates for point K along the directed line segment LM so that the ratio is 5/1
NEED ANSWERS ASAP!!
Answers
The solution is : The coordinates of K are (7,9)
Given that,
LM is the directed line segment from L(2, 4) to M (8, 10) Find the coordinates for point K along the directed line segment LM so that the ratio is 5/1
Here, we simply want to divide the line segment in the given ratio
We can use the internal division formula here;
The coordinates of Q will be;
(x,y) = (nx1 + mx2)/(n + m) , (ny1 + my2)/(n + m)
here, we have,
m = 5, n = 1
(x,y) = (1(2) + 5(8))/(5 + 1) , (1(4) + 5(10)/(5 + 1))
(x,y) = (2 + 40)/6 , (4 + 50)/6
(x,y) = 42/6, 54/6
(x,y) = (7,9)
so, The coordinates of K are (7,9)
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Related Questions
Find SY and XY. Will Give Brainliest for correct answer.
Answers
Answer:
SY = 16
XY = 12
Step-by-step explanation:
15/20 = 12/SY
15SY = 240
SY = 16
15/20 = 9/XY
15XY = 180
XY = 12
Your cellphone company charges a $18 monthly fee, plus $0.11 per minute of talk time. One month your cell phone bill was $70.80. How many minutes did you spend talking on the phone that month?
Answers
Answer:
480 minutes would be the answer
Step-by-step explanation:
Answer:
480 minutes
Step-by-step explanation:
We can write this relationship as \(y=0.11x+18\) and then solve for x when y=70.80:
\(y=0.11x+18\\\\70.80=0.11x+18\\\\52.80=0.11x\\\\480=x\)
Therefore, you spent 480 minutes talking.
What is the effective annual rate for 18 percent compounded semi-annually? a. 9.00% b. 19.25% c. None of the listed items is correct d. 39.24% e. 18.81%
Answers
The correct answer is b. 19.25%.The effective annual rate (EAR) is the annual interest rate that accounts for compounding effects.
To calculate the EAR, we use the formula: EAR = (1 + i/n)^n - 1, where i is the nominal interest rate and n is the number of compounding periods per year. In this case, the nominal interest rate is 18% and it is compounded semi-annually, which means there are two compounding periods per year. Substituting these values into the formula, we get: EAR = (1 + 0.18/2)^2 - 1 = 0.1925, or 19.25%.
Therefore, the correct answer is b. 19.25%. This represents the effective annual rate for an 18% nominal interest rate compounded semi-annually, taking into account the compounding effects over the course of a year.
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Simplify the following algebraic expression:-
\(\mathrm {\cfrac{2}{3}\:y -2(\cfrac{4}{3}\:y+z)}\)
Answers
\(\huge\text{Hey there!}\)
\(\huge\textbf{ORIGINAL equation:}\)
\(\mathsf{\dfrac{2}{3}y - 2(\dfrac{4}{3}y + z)}\)
\(\huge\textbf{DISTRIBUTE \boxed{\rm{\bf -2}} within the}\\\\\huge\textbf{parentheses:}\)
\(\mathsf{\dfrac{2}{3}y - 2(\dfrac{4}{3}y + z)}\)
\(\mathsf{= \dfrac{2}{3}y - 2(\dfrac{4}{3}y) - 2(z)}\)
\(\mathsf{= \dfrac{2}{3}y - \dfrac{8}{3}y - 2z}\)
\(\huge\textbf{COMBINE the like terms:}\)
\(\mathsf{= (\dfrac{2}{3}y - \dfrac{8}{3}y) - (2z)}\)
\(\mathsf{= \dfrac{2}{3}y - \dfrac{8}{3}y - 2z}\)
\(\mathsf{-2y - 2z}\)
\(\huge\text{Therefore your answer should be:}\)
\(\huge\boxed{\mathsf{-2y - 2z}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
A paint can has a diameter of 17 centimeters and a height of 24 centimeters. What is the surface area of the can? 2.775 76 cm 2 o 1734 85 cm 2 O 1494 64 cm2 4.377 16 cm 2
Answers
Answer:
1734.85
Step-by-step explanation:
Answer:
the correct answer is 1,734.85cm2
Step-by-step explanation:
i did the assignment and got it right
The sum of squares ________ measures the amount of variation between each data value and the grand mean.
Answers
The sum of squares(SS) measures the amount of variation between each data value and the grand mean.
The sum of squares(SS) is a statistical measure that quantifies the amount of variation or dispersion in a dataset. It specifically calculates the sum of the squared differences between each data value and the grand mean.
To calculate the sum of squares, the following steps are typically followed:
1,Find the grand mean by summing all the data values and dividing by the total number of values.
2.For each data value, calculate the difference between the value and the grand mean.
3. Square each of these differences.
4.Sum up all the squared differences.
The resulting sum of squares represents the total amount of variation in the dataset, reflecting how much each individual data value deviates from the grand mean.
The sum of squares is a useful measure for assessing the spread or dispersion of data, providing insights into the variability within the dataset.
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1
Rebecca is following the recipe to make biscuits
2 c flour
1 tsp sugar
1 tbsp baking powder
1 tsp salt
8 tbsp butter
3/4 c milk
The recipe makes 24 biscuits. If Rebecca needs that many biscuits, how
much milk should she use?
Answers
Answer:
she will need 18 cups of milk
I invested $800,000 in a cattle ranch and I sold that ranch for $2,500,000 ten years later. What was my annual percentage rate return? Question : How much can I borrow for the purchase of my first home if I can afford to make monthly payments of $500, and the annual interest rate is 6 percent on a 30 -year mortgage?
Answers
Based on the given information, you can borrow approximately $89,227.46 for the purchase of your first home if you can afford to make monthly payments of $500 with a 6% annual interest rate on a 30-year mortgage.
APR = \((FV / PV)^1^/^n\) - 1
Where:
APR = Annual Percentage Rate
FV = Future Value ($2,500,000)
PV = Present Value or initial investment ($800,000)
n = number of years (10 years)
Plugging in the values, we have: APR = \(($2,500,000 / $800,000)^1^/^1^0\) - 1
Calculating this expression, we find: APR ≈ 0.1153 or 11.53%
Therefore, the annual percentage rate of return on your investment in the cattle ranch is approximately 11.53%.
Regarding your question about how much you can borrow for the purchase of your first home, given that you can afford to make monthly payments of $500 and the annual interest rate is 6% on a 30-year mortgage, we can use the formula for loan amount calculation:
Loan Amount = (Monthly Payment / Monthly Interest Rate) * (1 - \((1 + Monthly Interest Rate)^-^N^u^m^b^e^r^ o^f^ M^o^n^t^h^s\))
Where:
Monthly Payment = $500
Annual Interest Rate = 6% or 0.06
Monthly Interest Rate = Annual Interest Rate / 12
Number of Months = 30 years * 12 months
Plugging in the values, we have:
Loan Amount = ($500 / (0.06 / 12)) * (1 - (1 + \((0.06 / 12))^-^3^0^ *^ 1^2\))
Calculating this expression, we find: Loan Amount ≈ $89,227.46
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What is System Effectiveness, if Operational Readiness is 0.89, Design Adequacy is 95%, Availability is 98%, Maintainability is 0.93, and Mission Reliability is 0.99? a. 0.763 b. 0.881 c. 0.837 d. 0.820
Answers
The System Effectiveness is approximately 0.763.
To calculate the System Effectiveness, we need to multiply the values of Operational Readiness, Design Adequacy, Availability, Maintainability, and Mission Reliability.
System Effectiveness = Operational Readiness * Design Adequacy * Availability * Maintainability * Mission Reliability
Plugging in the given values:
System Effectiveness = 0.89 * 0.95 * 0.98 * 0.93 * 0.99
System Effectiveness ≈ 0.763
Therefore, the System Effectiveness is approximately 0.763.
The correct answer is a. 0.763.
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4\(\sqrt{-5^2-3^2\\}\)
Answers
![4[tex]\sqrt{-5^2-3^2\\}[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/iwB6YDcSz9gRXwD06E2gg8OzNEJFnbua.png)
Ethan is watering his plants. He starts with a watering can filled with 32 ounces of water, and he pours 3.5 ounces onto each plant. When Ethan finishes watering his plants, he has 14.5 ounces of water left. How many plants does he have? Write and solve an equation to find the answer.
Answers
The number of plants Ethan has are 5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the number of plants Ethan has.
Ethan uses 3.5 ounces of water for each plant, so he will use a total of 3.5p ounces of water.
If he starts with 32 ounces of water and ends up with 14.5 ounces
Total of 32 - 14.5 = 17.5 ounces of water.
As given the amount of water used is equal to the amount of water per plant times the number of plants:
3.5x = 17.5
Divide both sides by 3.5
x=5
Hence, , Ethan has 5 plants.
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Assume that the amount of time that it takes an employee to service a car at an oil change facility follows the uniform probability distribution between 21 and 38 minutes. What is the mean of this distribution
Answers
The mean of the distribution that follows the uniform probability distribution is 29.5 minutes.
What is the mean?The mean is the average or the most common value in a data set of numbers.
Since the distribution follows the uniform probability distribution, which is a type of probability distribution that gives all outcomes equal chances, it implies that the set of 18 values between 21 and 38 can result in a total value of 531 minutes.
Data and Calculations:The total value between 21 and 38 minutes = 531 minutes
The total number of values = 18
The average or mean = 29.5 (531/18)
Thus, the mean of the distribution that follows the uniform probability distribution is 29.5 minutes.
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show 1^3 2^3 ⋯ n^3= 〖[n(n 1)/2]〗^2, where n is any positive integer.
Answers
To show that 1^3 + 2^3 + ... + n^3 = [n(n+1)/2]^2 for any positive integer n, we can use the method of mathematical induction.
Step 1: Base Case
For n = 1, the left-hand side of the equation is 1^3 = 1, and the right-hand side is [(1)(1+1)/2]^2 = (1*2/2)^2 = 1^2 = 1. So the equation is true for n = 1.
Step 2: Inductive Step
Assume that the equation is true for some positive integer k, that is, 1^3 + 2^3 + ... + k^3 = [k(k+1)/2]^2. We need to show that the equation is also true for k+1, that is, 1^3 + 2^3 + ... + k^3 + (k+1)^3 = [(k+1)(k+2)/2]^2.
Step 3: Proof
Starting from the left-hand side of the equation for k+1, we can substitute the equation for k and simplify:
1^3 + 2^3 + ... + k^3 + (k+1)^3 = [k(k+1)/2]^2 + (k+1)^3 = (k^2+k)^2/4 + (k+1)^3 = (k^4+2k^3+k^2)/4 + (k^3+3k^2+3k+1) = (k^4+4k^3+6k^2+4k+1)/4 = [(k+1)(k+2)/2]^2
Thus, the equation is true for k+1. By the principle of mathematical induction, the equation is true for any positive integer n.
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A basic set of drawing pencils costs $8. 98. A professional set of drawing pencils costs $27. 49. How much more does the professional set cost than the basic set?
Answers
The professional set of drawing pencils costs $18.51 more than the basic set. This is a significant difference in price and may be worth the additional cost depending on the user's needs.
First, we need to calculate the difference in price between the professional set and the basic set of drawing pencils. To do this, we will subtract the cost of the basic set ($8.98) from the cost of the professional set ($27.49).
We can write this difference as an equation:
Difference = Professional Set Cost - Basic Set Cost
Difference = 27.49 - 8.98
Next, we can solve for the difference in price by subtracting the two values.
Difference = 18.51
Therefore, the professional set of drawing pencils costs $18.51 more than the basic set. This is a significant difference in price and may be worth the additional cost depending on the user's needs.
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factorise x²-49
please solve this answer
Answers
Answer:
(x+7)(x-7)
Step-by-step explanation:
x²-49
=x²-7²
=(x+7)(x-7)
Answer:
(x+7) (x-7)
Step-by-step explanation:
\(\sqrt x^{2}\)-49
\(\sqrt x^{2}\) - \(\sqrt{49}\) = (x+7) (x-7)
I need help with this
Answers
The value of the function (f - g)(x) would be \((f-g)(x)=x^2-11x+4\).
Option (A) is correct.
What are composite functions?
A composite function is generally a function that is written inside another function. The composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”.'
Given:
\(f(x)=4x^2-5x\\\\g(x)=3x^2+6x-4\)
Now by using the definition of composite functions we can write,
\((f-g)(x)=f(x)-g(x)\\\\(f-g)(x)=4x^2-5x-(3x^2+6x-4)\\\\(f-g)(x)=4x^2-5x-3x^2-6x+4\\\\(f-g)(x)=x^2-11x+4\)
Hence, the value of the function (f - g)(x) would be \((f-g)(x)=x^2-11x+4\).
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What type of variable is the number of auto accidents reported in a given month q?
Answers
Answer:
Discrete
Step-by-step explanation:
Discrete is the type of variable in which the number of auto accidents reported in a given month q
Discrete data is a count that uses integers and has a finite number of potential values. This sort of information can't be broken down into smaller chunks. Discrete data consists of finite, numeric, countable, and non-negative integers with discrete variables.
As we know that the number of auto accidents that can be reported in a month will be always a whole number, therefore, the number of accidents can be represented as 0, 1, 2,..., 1000, etc.
Thus, the type of variable is the number of auto accidents reported in a given month is Discrete.
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A number of squares are connected in a row to form a rectangle. The table shows the relationship between the number of squares, x, and the perimeter, y, of the rectangles they form. Select all the true statements about this relation. Number of squares, x 1 2 3 4 perimeter, y 8 12 16 20.
Answers
Perimeter is directly proportional to number of squares, x and is 4x where x is the number of squares.
What is perimeter ?
Perimeter is the distance around the edge of a two-dimensional shape. It is the sum of the lengths of all the sides of a shape. It is commonly used to measure the size of a closed shape such as a square, rectangle, or circle. The formula for perimeter depends on the shape in question.
The statements that are true about the relation between the number of squares and the perimeter of the rectangles they form are:
As the number of squares increases, the perimeter of the rectangle also increases.
The perimeter of the rectangle is 4 times the number of squares.
The perimeter increases by 4 for every increase in 1 square.
The perimeter is calculated by multiplying the number of squares by 4.
The perimeter is directly proportional to the number of squares.
Perimeter is directly proportional to number of squares, x and is 4x where x is the number of squares.
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The population of a certain species of insects in a nearby farm increases exponentially according to themodel, () = 1840^0.145where P is the number of insects and t is the time in weeks since the originalcolony settled in the farm.A. Find the number of insects in the original colony that settled in the farm.B. Find the rate of increase of the insect population for each week that passed by.C. How many insects would you expect to be in the colony after 16 weeks if the population growthfollows the model? Round off to the nearest whole number.D How long will it take for the population to reach 12000
Answers
Continuous Exponential Model
It's an equation that models the growth of a certain variable in time. If P(t) is the number of insects in a colony at a time t, and Po is the initial number of insects of the colony, then the model can be written as:
\(P(t)=P_oe^{kt}\)Where k is the growth rate.
We are given the model equation:
\(P(t)=1840e^{0.145t}\)Where the time is in weeks.
A. This corresponds to an original number of insects of Po = 1840
B. The rate of increase can also be determined with the equation. k = 0.145. This corresponds to a rate of 14.5% each week.
C. Now we find the number of insects for t = 16:
\(\begin{gathered} P(16)=1840e^{0.145*16} \\ Calculating: \\ P(16)=1840e^{2.32} \\ P(16)=18723 \end{gathered}\)It's expected to be 18723 insects in the colony after 16 weeks.
D. For the colony to have 12000 insects, we need to solve the equation:
\(1840e^{0.145t}=12000\)\(1840e^{0.145t}=12000\)Dividing by 1840:
\(e^{0.145t}=\frac{12000}{1840}\)Applying logs on each side:
\(0.145t=\log\frac{12000}{1840}\)Dividing by 0.145:
\(t=\frac{\log\frac{12000}{1840}}{0.145}\)Calculating:
t ≈ 13 weeks
It will take approximately 13 weeks for the population to reach 12000
The first equation of the system is multiplied by 2. By what number would you multiply the second
equation to eliminate the y variable by adding?
4x – 3y = 6
6x + 2y = 10
Answers
Answer:
we will have to multiply the second equation by 3 to eliminate the y variable by adding.
Step-by-step explanation:
Given the equations
4x – 3y = 6 → (1)
6x + 2y = 10 → (2)
As the first equation is multiplied by 2,
2(4x – 3y) = (2)6
8x - 6y = 12 → (3)
As we have to eliminate y,
so multiply the second equation by 3,
6x + 2y = 10
3(6x + 2y) = 3(10)
18x + 6y = 30 → (4)
So now adding the new equations (3) and (4) will eliminate the y variable by adding
8x - 6y = 12
18x + 6y = 30
--------------------
26x + 0y = 42
26x = 42
x = 42/26
x = 21/13
Therefore, we will have to multiply the second equation by 3 to eliminate the y variable by adding.
What's the area of a slice of pizza from a large pizza with radius 9 inches cut into 6 equal slices?
Question 19 options:
A)
9 inches2
B)
9π inches2
C)
54 inches2
D)
13.5π inches2
Answers
Solution:
Step-1: Find the area of the pizza.
Area of pizza = πr²=> πr² = π x 9 x 9=> 81π = Area of pizzaStep-2: Find the area of the slice.
= 81π/6 = Area of slice=> 27π/2 = 13.5π = Area of sliceOption D is correct.
how do I find measure of angles
Answers
Answer:
you are going to need a protractor
Step-by-step explanation:
Write the interval as an inequality
[-5,5]
Answers
Answer:
\(-5\leq x\leq 5\)
Step-by-step explanation:
-5<x<5
both of the < need lines under them
GIVE LOTS OF POINTS FOR ANSWER
Money paid only on the principal. Found by using the formula I = Prt is called Simple Interest.
Group of answer choices
True
or
False
Answers
Yes. The money paid only on the principal using the formula I = Prt is called Simple Interest
Is the money paid only on the principal using the formula I = Prt called Simple Interest?
Simple interest is a type of interest that is paid only on the principal amount of a loan or investment. It is calculated using the formula I = Prt,
where I is the interest, P is the principal, r is the interest rate, and t is the length of time for which the interest is being calculated.
For example, if you borrow $1000 at an interest rate of 5% per year for a period of 3 years, the simple interest would be calculated as follows:
I = 1000 × 0.05 × 3 = $150
This means that the total amount of money that you would pay back would be $1000 + $150 = $1150.
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What is "seven less than a number cubed"?
Answers
Answer:
n³ - 7
Step-by-step explanation:
number = n
because 7 is less then the number cubed it's being subtracted by n³
Which set of ordered pairs has a range of
{0,1,4}?
A. (0, 0), (0, 1), (4, 1)
B. (0, 2), (1, 2), (4, 2)
C. (0, 0), (0, 1), (0, 2), (0, 4)
D. (−1, 0),(0, 1),(2, 1),(3, 4)
Answers
I need help with number 4 please you don't need to explain
Answers
The box plot below represents some data set. What percentage of the data values are greater than 65?
Answers
Answer: Unfortunately, without further context, I can't answer your question. Please post the box plot from the question first.
Write this in numbers : two hundred and fifty million nine hundred and three thousand and seven. Please help
Answers
Answer:
$250,903,007
Step-by-step explanation:
Writing two hundred and fifty million nine hundred and three thousand and seven.
: $250,903,007
hope it helps :)
what does the adjusted r squared tell us about the relationship between sales, price, and advertising? the model explains about 90% of the variance in sales. the model explains about 60% of the variance in sales. the model explains about 80% of the variance in sales. the model explains about 70% of the variance in sales.
Answers
The modified r squared tells us more about the relationship among sales, price, as well as advertising by explaining approximately 60% of a variance in sales.
Define the term adjusted r squared?R-squared (R2) would be a statistical measure that quantifies the proportion of the variation explained from an independent variable other variables within a regression model for a dependent variable.
R-squared describes how much the variance with one variable describes the variance of the other. So, if a model's R2 is 0.50, the model's inputs can explain roughly half of a observed variation.A score of 70 to 100 shows that a specific portfolio closely reflects the underlying stock index, whereas a score of 0 to 40 indicates a relatively poor correlation the with index.Higher R-squared scores also suggest that beta measurements are more reliable. The volatility of either a security or portfolio is measured by beta.Thus, the modified r squared tells us more about the relationship among sales, price, as well as advertising by explaining approximately 60% of a variance in sales.
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