By answering the presented question, we may conclude that from the given graph we can say that zeros are = (-3,-1 ) and (--5,-9) ; y - intercept is, y = -2x/3 + 15 and vertex are = (-0-1)
What exactly are graphs?Mathematicians use graphs to visually display or chart facts or values in order to express them coherently. A graph point usually represents a connection between two or more items. A graph, a non-linear data structure, is made up of nodes (or vertices) and edges. Glue the nodes, also known as vertices, together. This graph includes V=1, 2, 3, 5, and E=1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Statistical graphs (bar graphs, pie graphs, line graphs, and so on) are graphical representations of exponential development. a logarithmic graph shaped like a triangle.
from the given graph we can say that
zeros are = (-3,-1 ) and (--5,-9)
y - intercept is, y = -2x/3 + 15
vertex are = (-0-1)
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The mail carrier has to deliver 3 boxes. The first box has a mass of 80 kilograms, the second box has a mass of 40 kilograms, and the third box has a mass of 60 kilograms. What is the total mass of all 3 boxes in grams?
180 grams
1,800 grams
18,000 grams
180,000 grams
Answer: 180,000 g
Step-by-step explanation:
1st add all masses together:
80kg + 40kg + 60 kg = 180 kg
then we need to convert kilograms to grams:
1 kg = 1000g
180kg * (1000g / 1kg) = 180,000 g
To calculate the total mass (in grams) of the three boxes, we first need to convert their masses from kilograms to grams and then add them together.
The mass of the first box is 80 kg, which is equivalent to 80,000 grams (because 1 kg = 1000 grams).
The mass of the second box is 40 kilograms, or 40,000 grams.
The mass of the third box is 60 kilograms, or 60,000 grams.
To find the total mass of the three boxes, we add these values:
80,000 grams + 40,000 grams + 60,000 grams = 180,000 grams
Therefore, The total mass of the three boxes in gram is 180,000
The correct answer is D) 180,000
Find the value of x.
22
39
X
The value of x in the right triangle when calculated is approximately 13.8 units
Calculating the value of x in the triangleGiven the right-angled triangle
The side length x can be calculated using the following sine ratio
So, we have
sin(39) = x/22
To find x, we can use the fact that sin(39 degrees) = x/22 and solve for x.
First, we can use a calculator to find the value of sin(39 degrees), which is approximately 0.6293.
Then, we can set up the equation:
0.6293 = x/22
To solve for x, we can multiply both sides by 22:
0.6293 * 22 = x
13.8446 = x
Rewrite as
x = 13.8446
Approximate the value of x
x = 13.8
Therefore, x is approximately 13.8 in the triangle
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Each morning, Sleepwell Hotel offers its guests a free continental breakfast with pastries and orange juice. The hotel served 180 gallons of orange juice last year. This year, the hotel served 70% more orange juice than it did the previous year. How much was served this year?
The hotel served 306 gallons of orange juice this year.
To find the amount of orange juice served this year, we need to add 70% more of the amount served last year to the amount served last year. Let's denote the amount served last year as "x". Then we can set up the equation:
Amount served this year = x + 0.7xSimplifying this equation gives us:
Amount served this year = 1.7xWe know from the problem that the amount served last year was 180 gallons. Plugging this into our equation, we get:
Amount served this year = 1.7(180)Simplifying this equation gives us:
Amount served this year = 306Therefore, the hotel served 306 gallons of orange juice this year.
In summary, we used the information given in the problem to set up an equation and solve for the amount of orange juice served this year. We first found the amount served last year, and then added 70% more of that amount to get the total amount served this year.
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Lucy initially invested $1,000 in a stock. The value of the stock increased exponentially over time by a rate of 3%. After 5 years, what is the value of the stock
Answer:
Were sorry! Answer is not available right now check in later.
Step-by-step explanation:
Four pipes can fill a tank in 16 hours. How long will it take to fill the tank if twelve
pipes of the same dimensions are used ?
Answer:
5.333 hours
Step-by-step explanation:
We know
4 Pipes fill a tank in 16 hours.
How long will it take to fill the tank if 12 pipes of the same dimensions are used?
We Take
16 x 1/3 = 5.333 hours
So, it takes about 5.333 hours to fill the tank.
Can someone assist me?The cheerleading squad at Morristown High School had 20 members with the old coach. Now, with the new coach, there are 45% more members on the squad. How many members are on the squad now?
Answer:
29
Step-by-step explanation:
First, let's find out how many members are added to the squad with the new coach:
45% of 20 = 0.45 x 20 = 9
So, with the new coach, there are 9 more members added to the squad.
Now, to find the total number of members on the squad with the new coach, we just need to add the old number of members (20) to the number of new members added (9):
20 + 9 = 29
Therefore, there are now 29 members on the cheerleading squad at Morristown High School with the new coach.
Complete the recursive formula of the arithmetic sequence -16, -33, -50, -67,. −16,−33,−50,−67,. Minus, 16, comma, minus, 33, comma, minus, 50, comma, minus, 67, comma, point, point, point. C(1)=c(1)=c, left parenthesis, 1, right parenthesis, equals
c(n)=c(n-1)+c(n)=c(n−1)+c, left parenthesis, n, right parenthesis, equals, c, left parenthesis, n, minus, 1, right parenthesis, plus
The following is the recursive formula for the arithmetic sequence in this issue:
c(1) = -16.
c(n) = c(n - 1) - 17.
An arithmetic sequence is a series of numbers where each term is obtained by adding a fixed constant, known as the common difference, to the previous term. For example, in the sequence 2, 5, 8, 11, 14, 17, each term is obtained by adding 3 to the previous term.
The formula for finding the nth term of an arithmetic sequence is: a(n) = a(1) + (n-1)d, where a(1) is the first term, d is the common difference, and n is the term number. For example, to find the 10th term of the sequence 2, 5, 8, 11, 14, 17, we would use the formula a(10) = 2 + (10-1)3 = 29. Arithmetic sequences have many practical applications, such as in finance, where they can be used to calculate the interest earned on an investment over time.
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A car travels at an average speed of 100 km/h and covers a certain distance in 3 hours 40 minutes. At what average speed must it travel to cover the same distance in 3 hours and 30 minutes
show steps
The car must travel at an average speed of 105 km/h to cover the same distance in 3 hours and 30 minutes.
How to deal with the Speed and time?Let's start by calculating the distance covered by the car in 3 hours 40 minutes.
3 hours 40 minutes is equal to 3.67 hours.
Distance = Speed × Time
Distance = 100 km/h × 3.67 h
Distance = 367 km
Now, let's find the average speed the car must travel to cover the same distance in 3 hours and 30 minutes.
3 hours and 30 minutes is equal to 3.5 hours.
Distance = Speed × Time
367 km = Speed × 3.5 h
Speed = Distance / Time
Speed = 367 km / 3.5 h
Speed = 105 km/h
Therefore, the car must travel at an average speed of 105 km/h to cover the same distance in 3 hours and 30 minutes.
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Suppose the entire pink arc measures 200 degrees and the entire blue arc measures 50 degrees, what would be measure of the manilla angle be?
Move the pink point so it becomes tangent to the circle
Answer #1 within this context
The answer of the given question based on the circle on finding the measure of the manilla angle the answer will be the measure of the manila angle is 110° degrees.
What is Circle?A circle is closed, two-dimensional shape that consists of all points in plane that are equidistant from given point, called center of the circle. The distance from center to any point on circle is called radius of the circle.
The circumference of circle is distance around the circle, and it is equal to 2π times radius. Circles are fundamental concept in geometry and are used in many fields, like physics, engineering, and architecture. They are also used to represent cycles, cycles of time, and the cyclical nature of life.
If the entire pink arc measures 200° degrees and the entire blue arc measures 50° degrees, then the sum of the measures of the three arcs (pink, blue, and manila) is 360° degrees, which is the total measure of a circle.
To find the measure of the manila angle, we need to subtract the measures of the pink and blue arcs from 360° degrees:
360° degrees - 200° degrees - 50° degrees = 110° degrees
Therefore, the measure of the manila angle is 110° degrees.
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A triangle can have sides with the following measures: 1, 1, 2
True
False
Answer: false
Step-by-step explanation:
A man sells an article at rs 600and makes a profit of 20%. Calculate his profit percentage
Answer:
120
Step-by-step explanation:
20 percent of 600 is 120 so he will get 120
imagine you took an assessment on your math ability at one time point and then the same assessment a month later. if your math ability was the same between time 1 and time 2, and nothing substantial happened during that time, such as getting a tutor, which type of reliability for the math ability assessment was achieved? group of answer choices
The test has demonstrated a good level of test-retest reliability.
If a student took an assessment on their math ability at one time point and then the same assessment a month later, with no substantial changes such as getting a tutor, and their math ability was the same between time 1 and time 2, then the assessment has achieved Test-Retest Reliability.Test-Retest Reliability: Test-Retest reliability is the measure of consistency of a test over time. A test has test-retest reliability if a person performs similarly on the same test taken at two different times.A reliable test must always provide consistent results. Therefore, if the math ability was the same between time 1 and time 2, and no substantial changes occurred during that time, then the test has demonstrated a good level of test-retest reliability.
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please help me !!!!!!
The equation representing total fraction strip is ³/₃ + ¹/₃ = ⁴/₃.
option B.
What is a fraction?
A fraction is a mathematical representation of a part of a whole or a ratio between two numbers. It consists of a numerator, which represents the number of parts being considered, and a denominator, which represents the total number of parts in the whole.
For this case, 1 is divided into, and 1 divide into 3.
To obtain the total fractions, we will add the individual fractions as shown below;
For this first fraction = ¹/₃ + ¹/₃ + ¹/₃
For the second fraction = ¹/₃
Total fraction = 3(¹/₃ + ¹/₃ + ¹/₃) + ¹/₃
Total fraction = ³/₃ + ¹/₃ = ⁴/₃
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I need help on this asap!
The solutions for the systems of inequalities are:
a) (0, -50), (0, -100), (0, -125)
b) (0, 20), (0, 23) , (0, 24).
How to identify 3 solutions of each system?
When we have a system of inequalities, a solution is a point (x, y) that solves both ienqualities at the same time.
The first one is:
y ≤ x - 8
y < -3x - 9
Here y must be smaller than x, then we can define x like x = 0, and really small values for y, like y = -50, replacing that we will get:
-50 ≤ 0 - 8 = -8
-50 < - 3*0 - 9 = -9
Both of these are true, so (0, -50) is a solution, and trivially, other solutions of the system of inequalities can be things like (0, -100) and (0, -125) are other two solutions.
For the second system:
y > 5x + 1
y > 3
Let's do the same thing, x = 0 and y gets really large values, like y = 20
20 > 5* + 1 = 1 this is true.
20 > 3 this is true.
so (0, 20) is a solution, and also are (0, 23) and (0, 24).
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If r(x) is a rational function in simplest form where the degree of the numerator is 3 and the degree of the denominator is 1, then
r(x) has no horizontal asymptote
r(x) has a nonzero horizontal asymptote
r(x) has a horizontal asymptote at y=0
If r(x) is a rational function in simplest form where the degree of the numerator is 3 and the degree of the denominator is 1, a)then r(x) has a horizontal asymptote at y=0.
This is because the degree of the denominator is greater than the degree of the numerator, which means that as x gets very large or very small, the denominator will dominate the behavior of the function.
As a result, the function will approach zero, and thus, there is a horizontal asymptote at y=0. If the degree of the numerator were greater than or equal to the degree of the denominator, then the function could have a horizontal asymptote at a nonzero value or no horizontal asymptote at all.
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One of the earliest applications of the Poisson distribution was made by Student (1907) in studying errors made in counting yeast cells or blood corpuscles with a haemacytometer. In this study, yeast cells were killed and mixed with water and gelatin; the mixture was then spread on a glass and allowed to cool. Four different concentrations were used. Counts were made on 400 squares, and the data are summarized in the following table:
a. Estimate the parameter λ for each of the four sets of data.
b. Find an approximate 95% confidence interval for each estimate.
c. Compare observed and expected counts.
In conclusion, the Poisson distribution was successfully applied by Student (1907) to the study of errors in counting yeast cells or blood corpuscles with a haemacytometer. It is possible to calculate an approximate 95% confidence interval for each estimated count, as well as to compare observed and expected counts.
The Poisson distribution was first applied to the study of errors made in counting yeast cells or blood corpuscles with a haemacytometer by Student (1907). The study involved the preparation of four different concentrations of a mixture of yeast cells, water, and gelatin spread on a glass. Counts were made on 400 squares and the data summarized in the following table.
An approximate 95% confidence interval for each estimate can be calculated using the Poisson distribution. For each of the four concentrations, the lower bound of the confidence interval is given by the formula x - 1.96*sqrt(x) and the upper bound is given by the formula x + 1.96*sqrt(x), where x is the observed count for that concentration.
It is also possible to compare the observed counts with the expected counts for each concentration. The expected count for each concentration is given by the formula λ = n*p, where n is the number of squares and p is the probability of an event occurring in a single square. The expected counts can be compared to the observed counts to determine whether they are in agreement with the Poisson distribution.
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What is the value of x in the triangle to the right? (7x+3) 85 50
Answer: x = 6
Step-by-step explanation:
(7x+3)+85+50 = 180
(7x+3)+135 = 180
7x+3 = 180 - 135 = 45
7x = 45-3 = 42
x = 42 / 7 = 6
x = 6
Ryan buys some jumpers to sell on a stall. He spends £190 buying 80 jumpers. He sells 50% of the jumpers for £12 each. He then puts the rest of the jumpers on a Buy one get one half price offer. He manages to sell half the remaining jumpers using this offer. How much profit does Ryan make?
Ryan makes a profit of £240. the total sales now amount to £600. By subtracting the cost of the jumpers, i.e. £190, from the total sales, we calculate that Ryan makes a profit of £240.
Ryan spends £190 to buy 80 jumpers. He sells 50% of the jumpers, i.e. 40 jumpers, at £12 each. This brings the total sales to £480. Then, he puts the remaining 40 jumpers on a Buy one get one half price offer. He sells 20 of the remaining jumpers using this offer. Therefore, the total sales now amount to £600. By subtracting the cost of the jumpers, i.e. £190, from the total sales, we calculate that Ryan makes a profit of £240.
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find a homogeneous linear differential equation with constant coefficients whose general solution is given.
A homogeneous linear differential equation with constant coefficients has the form a_
n y^{(n)} + a_{n-1} y^{(n-1)} + ... + a_1 y' + a_0 y = 0,
where a_n, a_{n-1}, etc. are all constants. The general solution of this equation is given by y = c_1 e^{\lambda_1 t} + c_2 e^{\lambda_2 t} + ... + c_n e^{\lambda_n t}, where c_1, c_2, etc. are constants and \lambda_1, \lambda_2, etc. are the roots of the characteristic equation a_n \lambda^n + a_{n-1} \lambda^{n-1} + ... + a_1 \lambda + a_0 = 0.
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Mrs. Simpkins is buying candy for her daughters class. She wants to give each student 5 pieces of candy and there are 23 students in her daughters class. How much candy will she need to get?
Answer:
115
Step-by-step explanation:
5 times 23= answer
Instructions: After interacting on your own with the model above press the "Reset" button. Use the Demand Slider in the "Settings" to have your demand curve match the equation {Demand: P=$6.00-0.100(Qd)}.
a. What is the total revenue when the price is $2.00? $
b. What is the total revenue when the price is $1.00? $
c. Is demand price elastic, price inelastic or unit elastic between these two prices:
(Click to select)
Instructions: Use the Demand Slider in the "Settings" to have your demand curve match the equation {Demand: P=$4.80-0.060(Qd)}.
d. What is the optimal price and quantity to maximize the total revenue? P = $
, Q =
, TR = $
e. What is the total revenue when the price is $3.00 and quantity is 30? $
f. What is the total revenue when the price is $1.80 and quantity is 50? $
g. If demand is price elastic and the market price is $3.00 what can be done to increase the total revenue?
Given the demand function P=$6.00-0.100(Qd)
a) at a price of $2.00, the quantity demanded is 40 units, thus, Total Revenue = $80
b) at a price of $1.00, the quantity demanded is 50 units, thus, Total Revenue = $50
c) Since the price elasticity of demand is less than 1, demand is price inelastic between these two prices.
Given the demand function P=$4.80-0.060(Qd)
d)
The optimal price to maximize total revenue is $2.40 and the optimal quantity is 40 units. TR = $96
e) When the price is $3.00 and the quantity demanded is 30, TR = $90
f) When the price is $1.80 and the quantity demanded is 50, the total revenue = $90
g) If demand is price elastic and the market price is $3.00, total revenue can be increased by reducing the price.
A demand function is a mathematical equation that describes the relationship between the price of a good or service and the quantity of that good or service that consumers are willing and able to purchase at that price.
a. When the price is $2.00, the quantity demanded can be calculated by setting Qd equal to 2.00 in the demand equation:
Qd = (6.00 - 0.100Qd)
2.00 = (6.00 - 0.100Qd)
0.100Qd = 4.00
Qd = 40
Therefore, at a price of $2.00, the quantity demanded is 40 units. The total revenue can be calculated by multiplying the price by the quantity demanded:
Total Revenue = Price x Quantity Demanded = 2.00 x 40 = $80
b. When the price is $1.00, the quantity demanded can be calculated in the same way:
Qd = (6.00 - 0.100Qd)
1.00 = (6.00 - 0.100Qd)
0.100Qd = 5.00
Qd = 50
Therefore, at a price of $1.00, the quantity demanded is 50 units. The total revenue can be calculated as:
Total Revenue = Price x Quantity Demanded = 1.00 x 50 = $50
c. To determine the price elasticity of demand between these two prices, we need to compare the percentage change in quantity demanded to the percentage change in price.
At a price of $2.00, the quantity demanded is 40 units. At a price of $1.00, the quantity demanded is 50 units. The percentage change in quantity demanded can be calculated as:
% Change in Quantity Demanded = (New Quantity Demanded - Old Quantity Demanded) / Old Quantity Demanded x 100%
= (50 - 40) / 40 x 100% = 25%
The percentage change in price can be calculated as:
% Change in Price = (New Price - Old Price) / Old Price x 100%
= (1.00 - 2.00) / 2.00 x 100% = -50%
The price elasticity of demand between these two prices can be calculated as:
Price Elasticity of Demand = % Change in Quantity Demanded / % Change in Price
= 25% / -50%
= -0.5
Since the price elasticity of demand is less than 1, demand is price inelastic between these two prices. This means that a change in price will result in a proportionately smaller change in quantity demanded.
d). To find the optimal price and quantity to maximize total revenue, we need to take the derivative of the total revenue function with respect to quantity and set it equal to zero.
Total Revenue = Price x Quantity Demanded
TR = (4.80 - 0.060Qd)Qd
TR = 4.80Qd - 0.060Qd^2
Taking the derivative of TR with respect to Qd:
dTR/dQd = 4.80 - 0.120Qd
Setting dTR/dQd equal to zero:
4.80 - 0.120Qd = 0
Qd = 40
Substituting Qd = 40 into the demand equation to find the optimal price:
P = 4.80 - 0.060(40)
P = 2.40
Therefore, the optimal price to maximize total revenue is $2.40 and the optimal quantity is 40 units. The total revenue can be calculated as:
TR = P x Q = 2.40 x 40 = $96
e. When the price is $3.00 and the quantity demanded is 30, the total revenue can be calculated as:
TR = P x Q = 3.00 x 30 = $90
f. When the price is $1.80 and the quantity demanded is 50, the total revenue can be calculated as:
TR = P x Q = 1.80 x 50 = $90
g. If demand is price elastic and the market price is $3.00, total revenue can be increased by reducing the price. This is because the percentage increase in quantity demanded will be greater than the percentage decrease in price, resulting in a net increase in total revenue.
Therefore, the company could consider lowering the price from $3.00 to a price closer to the optimal price of $2.40 to increase total revenue.
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X: -1, 0, 1, 2
g(x): 3, 10, 17, 24
What is the rate of change over the interval [-1,2]? Explain how you know
Answer:
あたしの最後はあなたがいい (いい)
あなたとこのままおサラバするより
死ぬのがいいわ
死ぬのがいいわ
三度の飯よりあんたがええのよ
あんたとこのままおサラバするよか
死ぬのがいいわ
死ぬのがいいわ
それでも時々 浮つく
Step-by-step explanation:
Some number minus 24 is equal to the product of the number and -18
Answer:
x = 24/19
Step-by-step explanation:
Let's use algebra to solve this problem.
Let's say the number we're looking for is x.
According to the problem, "Some number minus 24" can be written as "x - 24".
And "the product of the number and -18" can be written as "x*(-18)" or simply "-18x".
So the equation we need to solve is:
x - 24 = -18x
We can solve for x by adding 18x to both sides of the equation:
x + 18x - 24 = -18x + 18x
Simplifying the left side of the equation gives:
19x - 24 = 0
Then we can add 24 to both sides of the equation to isolate the x term:
19x - 24 + 24 = 0 + 24
Simplifying the left side of the equation gives:
19x = 24
Finally, we can solve for x by dividing both sides of the equation by 19:
x = 24/19
Select all the correct answers.
Which three equations are equivalent to |2x + 1| − 10 = -3?
x = -4 or x = 3
2x − 1 = -7 or 2x − 1 = 7
|2x + 1| = 7
x = 4 or x = -3
|2x − 1| = 7
2x + 1 = -7 or 2x + 1 = 7
Answer:
|2x + 1| = 7
|2x − 1| = 7
2x + 1 = -7 or 2x + 1 = 7
Step-by-step explanation:
or if u have no time
C, E, F.
These might not be in order but hey they are correct amiright :/
What value of z should we use when making a 98% confidence interval for p? О 2.33 1.75 o It's impossible to make a 98% CI O 2.88
The z value when making 98% confidence interval for p will be 2.33.
When making a confidence interval for a proportion, we use the standard normal distribution, and the value of z depends on the level of confidence we want to achieve.
In this case, we want to make a 98% confidence interval, which means that we want to be 98% confident that the true proportion falls within our interval.
To determine the value of z, we can use a z-table or a calculator. The z-value corresponding to a 98% confidence level is 2.33. Therefore, we use 2.33 as our value of z when making a 98% confidence interval for p.
It is not impossible to make a 98% confidence interval, and the value of z is not 2.88. The z-value of 2.88 corresponds to a much higher confidence level of approximately 99.5%. Using a higher confidence level means we can be more confident that our interval contains the true proportion, but it also means that our interval will be wider, which reduces its precision.
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A 45-Seater bus is fully booked. The cost of an adult ticiket is R375 and the cost of a student ticket is R200. How many students were on the bus, If total ticket sales amounted to R9875? (The bus can seat 45 passenger
The number of students on the bus is 40.
How many students are in the bus?The first step is to form two equations that represent the information in the question:
a + b = 45 equation 1
375a + 200b = 9875 equation 2
Where:
a = number of adults in the bus
b = number of students in the bus
The elimination method would be used to determine the number of students on the bus.
Multiply equation 1 by 375
375a + 375b = 16,875 equation 3
Subtract equation 2 from equation 3
175b = 7000
Divide both sides of the equation by 175
b = 7000 / 175
b = 40
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Write the expression in complete factored form.
3b(4 - 8) - n(u - 8) =please help
Answer:
12b (1-2) -n (u-8) this is the answer
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 2y + 3z = 3.
The volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 2y + 3z = 3 is 12 cubic units.
To calculate the volume, we can use the formula V = l × w × h, where l = length, w = width and h = height.
The three faces lie on the coordinate planes, so we can use the equation x + 2y + 3z = 3 to find the coordinates of the vertex. We can solve for the values of x, y, and z and plug them into the formula.
We will use the substitution method:
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I know I'm using this app a ton today.
...A store pays $261 for a diving board and marks the price up by 45%. What is the amount of the mark-up?
Answer:
If the store marks up the price of the diving board by 45%, the selling price will be 100% + 45% = 145% of the cost price.
Let's calculate the selling price:
Selling price = Cost price + Mark-up
Mark-up = Selling price - Cost price
Mark-up = (145% of cost price) - cost price
Mark-up = 0.45 * cost price
We know that the store paid $261 for the diving board, so:
Mark-up = 0.45 * $261 = $117.45
Therefore, the amount of the mark-up is $117.45.
well, what's 45% of 261?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{45\% of 261}}{\left( \cfrac{45}{100} \right)261}\implies \text{\LARGE 117.45}[/tex]
11x + 9y=-20 x= -5y-6
Use substitution method pls
The solution to the system of equations is (x, y) = (1, -1) where the given equations are 11x+9y=-20 and x=-5y-6.
What is substitution method?The substitution method is a technique used in algebra to solve systems of equations by replacing one variable with an expression containing another variable. The goal is to eliminate one of the variables so that we can solve for the other one.
According to question:We are given the following system of two equations with two variables:
11x + 9y = -20 (equation 1)
x = -5y - 6 (equation 2)
To solve the system using the substitution method, we need to solve one of the equations for one of the variables, and then substitute the expression for that variable into the other equation. Let's solve equation 2 for x:
x = -5y - 6
Now we can substitute this expression for x into equation 1, and solve for y:
11x + 9y = -20
11(-5y - 6) + 9y = -20 (substituting x = -5y - 6)
-55y - 66 + 9y = -20
-46y = 46
y = -1
Now that we have found y = -1, we can substitute this value back into equation 2 and solve for x:
x = -5y - 6
x = -5(-1) - 6
x = 1
Therefore, the solution to the system of equations is (x, y) = (1, -1).
To know more about substitution method visit:
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