His discount and final price be $280 for his order of 140 boxes.
What is Discount ?A discount is a drop in a product's or service's price.
It is frequently provided as a perk to customers to entice them to buy. Discounts are often stated as a percentage or dollar amount off the list price.
Depending on the sort of discount and the situation, discounts can be computed in a variety of ways.
For instance, a product that costs $100 would have a discounted price of $80 with a 20% discount applied. Similar to this, a product that costs $50 would have a discounted price of $40 if it received a $10 reduction.
In marketing and sales, discounts are frequently used to draw customers and boost sales volume.
What percentage is it?The denominator of a percentage (also known as a ratio or fraction) is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his maths test.
In ratio form, it is expressed as 30:100 and in fraction form as 30/100. In this case, the percentage symbol "%" is read as "percent" or "percentage."
This percent symbol can always be changed to a fraction or decimal equivalent by using "divided by 100."
Exampe of Percentage :-
10% = 10/100 ( = 1/10 (or) 0.1)
25% = 25/100 ( = 1/4 (or) 0.25)
According to question
Lee qualifies for a 20% discount because his order of 140 boxes falls within the range of 100-200 boxes.
Since each box originally cost $2.50, the full price of 140 boxes, after any discounts, is:
140 * $2.50 = $350
The 20% Lee discount is determined as follows:
20% * $350 = $70
Lee's discount is therefore $70, and his adjusted price is as follows:
$350 - $70 = $280
Therefore, Lee will ultimately pay $280 for his order of 140 cartons.
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need help! please give example if can
The two statements are;
The area of sector 1 is 20n² + 15n square meters
The total distance around the garden is 20n + 2 meters
Option A and C
How to determine the valueThe formula for the area of a rectangle is expressed as;
A = lw
Such that the parameters are;
A is the area of the rectangle l is the length of the rectanglew is the width of the rectangleFor the first sector, we have that;
Length = 4n + 3
Width = 6n - 2 - 5n = n - 2
Substitute the values
Area of sector 1 = (4n + 3)(5n)
expand the expression
Area of sector 1 = 20n² + 15n square meters
Area for the sector 2
Area = (3n - 3)(n -2)
expand the bracket
Area = 3n² - 6n - 3n + 6 = 3n² - 9n + 6
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Find the measures of angle a and B. Round to the nearest degree.
The measure of angle A and angle B are 28.61 and 61.39 rounded to two decimal place, using trigonometric ratio of tangent for the respective angles.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
tan B = 6/11 {opposite/adjacent}
B= tan⁻¹(6/11) {cross multiplication}
B = 28.6105.
tan A = 11/6 {opposite/adjacent}
A= tan⁻¹(11/6) {cross multiplication}
A = 61.3895.
Therefore, the measure of angles A and B are 28.61 and 61.39 rounded to two decimal place, using trigonometric ratio of tangent for the respective angles.
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Our school raises $150 for six charities. Each charity gets 1/6 of the amount raised. How much did each charity get
The amount that each charity gets is $25.
The charity raise simply define as we raise funds in the form of small amounts of money from a huge crowd of people within a specific period of time.
For example, if 100 people donate $50 each to your crowdfunding campaign in two weeks, you will be able to raise $5000.
To find the amount that each charity got, we have to divide the total charity amount raised in the proportion given, i.e., 1/6.
Each charity gets 1/6 of the total amount raised, which is $150.
So, we need to divide $150 by 6:
$150 ÷ 6 = $25
Therefore, each charity received $25.
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Help solve this! ASAP
Answer:
2
Step-by-step explanation:
You want the average rate of change of f(x) = -x² -2x +6 on the interval [-7, 3].
Average rate of changeThe average rate of change of f(x) on the interval [a, b] is computed as ...
m = (f(b) -f(a))/(b -a)
For the given function f(x), this is ...
m = (f(3) -f(-7))/(3 -(-7)) = (-9 -(-29))/10 = 20/10 = 2
The average rate of change of f(x) on the interval [-7, 3] is 2.
__
Additional comment
The derivative of the function is f'(x) = -2x -2. The midpoint of the interval is x = (-7 +3)/2 = -2. The value of the derivative at the midpoint is equal to the average rate of change on the interval:
-2(-2) -2 = 4 -2 = 2 . . . . average slope between x=-7 and x=3.
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anova with replication is also known as? repeated measures between-group design mixed design one-way anova
this is "Repeated measures ANOVA, which is a statistical test used to analyze data from experiments in which the same participants are measured multiple times under different conditions.
What is a repeated measures ANOVA ?A repeated measures ANOVA is a statistical test used to analyze data from experiments in which the same participants are measured multiple times under different conditions. This design is sometimes referred to as a "within-subjects design" because each participant is measured within the same group.
Here are the steps for conducting a repeated measures ANOVA:
State the null and alternative hypotheses.Check the assumptions of the test, which include normality, sphericity, and homogeneity of variance.Calculate the within-subjects sum of squares (SSW), the between-subjects sum of squares (SSB), and the total sum of squares (SST).Calculate the degrees of freedom (df) for each of these sums of squares.Calculate the mean square (MS) for each source of variance by dividing the sum of squares by the degrees of freedom.Calculate the F ratio by dividing the between-subjects MS by the within-subjects MS.Determine the critical value for the F ratio using a table or software.Compare the calculated F ratio to the critical value. If the calculated F ratio is greater than the critical value, reject the null hypothesis and conclude that there is a significant effect of the independent variable on the dependent variable.If the null hypothesis is rejected, follow up with post hoc tests to determine which conditions differ significantly from each other.
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question 1 options: as a quality control inspector: you have previously believed a claim that 3.2% of items made on your production line are defective. to see if you should still believe this claim: you decide to do a two-sided significance test, with a significance level of 2%. you then randomly sample 420 items from the production line, and find that 22 of the items are defective. in percentage form, and rounded to four digits past the decimal point: what is the approximate p-value of your test? answer: the approximate p-value of this test is % state your answer in percentage form. a percentage symbol is already provided. round your answer to four digits past the decimal point. include all four digits past the decimal point, even if some digits are zeros. include only your number for the answer. do not include any other information (such as another percentage symbol, or equal symbol, words, spaces, etc).
The approximate p-value is 5.1250%.
P-value is the probability of obtaining a test statistic as or more extreme than what was actually observed, given that the null hypothesis is true.
Two-sided significance test, with a significance level of 2%. you then randomly sample 420 items from the production line, and find that 22 of the items are defective.
The approximate p-value for this two-sided significance test, with a significance level of 2%, is 5.1250%.
This is the probability of observing 22 or more defective items given that the true rate is 3.2%.
This was calculated using a binomial test, which takes into account the sample size and the expected rate of defects.
This p-value indicates whether or not the observed rate of defects is significantly different from the expected rate.
In this case, the p-value is the probability of observing 22 or more defective items given that the true rate is 3.2%.
This can be calculated using a binomial test.
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If you spin the spinner 36 times, what is the best prediction possible for the number of times it will not land on yellow?
The best prediction possible for the number of times the spinner will not land on yellow is 18.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
Assuming that the spinner is fair and all outcomes are equally likely, we can calculate the probability of the spinner not landing on yellow in one spin by adding up the probabilities of all other outcomes, which are green, blue, and red.
The probability of the spinner not landing on yellow in one spin is:
P(not yellow) = P(green) + P(blue) + P(red)
= 1/6 + 1/3 + 1/6
= 1/2
Therefore, the expected number of times the spinner will not land on yellow in 36 spins is:
E(not yellow) = 36 x P(not yellow)
= 36 x 1/2
= 18
So the best prediction possible for the number of times the spinner will not land on yellow is 18. However, it's important to note that this is just a prediction based on probabilities, and the actual number of times the spinner doesn't land on yellow in 36 spins may vary.
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The life, in years, of a certain type of electrical switch has an exponential distribution with an average life betaequals3. If 300 of these switches are installed in different systems, what is the probability that at most 70 fail during the first year?
The probability that at most 70 switches fail during the first year is low, at around 1.3%.
The problem involves the use of the exponential distribution to model the lifetime of a certain type of electrical switch. Specifically, we are given that the average life of these switches is beta = 3.
The exponential distribution is often used to model the time between occurrences of a certain event, such as the failure of a component. In this case, we can use it to model the time between failures of the electrical switches.
To answer the question, we need to find the probability that at most 70 switches fail during the first year. Let X be the number of switches that fail during the first year. We know that X follows a Poisson distribution with parameter lambda = (1/3)*300 = 100.
This is because the expected number of failures per year for each switch is 1/3 (since the average life is 3 years), and there are 300 switches installed.
Therefore, we can use the Poisson distribution to calculate the probability that at most 70 switches fail during the first year:
P(X <= 70) = e^(-100) * (100^0/0!) + e^(-100) * (100^1/1!) + ... + e^(-100) * (100^70/70!)
This can be calculated using a calculator or software such as Excel. The answer is approximately 0.013, or 1.3%. This suggests that the switches are fairly reliable, and that it is unlikely that a large number of them will fail in a short period of time.
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math help i beg anything will do just pleas help
Answer: 1. 48.356 2. 75.3982236862
Step-by-step explanation:
Radias*2 pi
Add. Express your answer in simplest form. 2/5 + 5/6
A. 1/3
B. 7/11
C. 7/30
D. 1 7/30
Answer:
d. 1 7/30...............
Answer:
D
Step-by-step explanation:
2/5 + 5/6
Make the denominator same
(2×6)/30 + (5×5)/30
12+25/30
37/30
1 7/30
Juan can run 38 yards in 5 seconds. If he keeps the same pace, how many yards can he run in 30 seconds? Responses
Answer: 228 yards
Step-by-step explanation:
Answer:
228
Step-by-step explanation:
assume the mapping t w p2 ! p2 defined by t a0 c a1t c a2t 2 d 2 a0 c .3 a1 c 4 a2/t c .5 a0 6 a2/t 2 is linear. find the matrix representation of t relative to the basis b d f1; t; t 2 g.
So, the matrix representation of T relative to the basis B = {f1, t, t²} is:
| 2.5 3 0 |
| 0 4 0 |
| 0 0 6 |
To find the matrix representation of the linear transformation T relative to the basis B = {f1, t, t²}, we need to apply T to each element of the basis and then express the result as a linear combination of the basis elements.
Let's apply T to each element of the basis B:
1. T(f1) = T(1) = 2(1) + 0.5(1) = 2.5
2. T(t) = T(c) = 3(c) + 4(c²) = 3f1 + 4t
3. T(t²) = T(c²) = 6(c²) = 6t²
Now, we can express the results as linear combinations of the basis elements:
1. T(f1) = 2.5f1 + 0t + 0t²
2. T(t) = 3f1 + 4t + 0t²
3. T(t²) = 0f1 + 0t + 6t²
Finally, we can form the matrix representation of T relative to the basis B by using the coefficients of the linear combinations as the columns of the matrix:
T matrix = | 2.5 3 0 |
| 0 4 0 |
| 0 0 6 |
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The matrix representation of t with respect to the basis b = [tex]{f1, t, t^2}[/tex] is:
[1/2 -4/3 1 ]
[1 8/3 0 ]
[0 -5/2 3/2 ].
To find the matrix representation of the linear transformation t with respect to the given basis, we need to apply t to each of the basis vectors and represent the result as a linear combination of the basis vectors.
The coefficients of these linear combinations will form the columns of the matrix representation.
First, we apply t to each of the basis vectors:
[tex]t(1) = a0 + a1t + a2t^2 = a0 + a1f1 + a2t - (a1/2)f1 - (3a2/2)t^2[/tex]
[tex]t(t) = a0 + (4/3)a1t + (5/6)a2/t = a0 + (4/3)t + (5/6)t^2 - (4/3)f1 - (5/2)t^2[/tex]
[tex]t(t^2) = a0 + (3/2)a2/t^3 = a0 + (3/2)t^2 - (3/2)f1[/tex]
Next, we represent these results as linear combinations of the basis vectors:
[tex]t(1) = (a0 - a1/2)f1 + (a1 + a2)t - (3a2/2)t^2[/tex]
[tex]= 1f1 + 0t + 0t^2 + (-1/2)f1 + 1t + 0t^2 + 0f1 - (3/2)t^2[/tex]
[tex]= (1/2)f1 + 1t - (3/2)t^2[/tex]
[tex]t(t) = (-4/3)f1 + (a0 + 4/3)t + (5/6)t^2[/tex]
[tex]= 0f1 + 1t + 0t^2 + (-4/3)f1 + (4/3)t + (5/6)t^2 + 0f1 + 0t - (5/2)t^2[/tex]
[tex]= (-4/3)f1 + (8/3)t - (5/2)t^2[/tex]
[tex]t(t^2) = f1 + (a0 - 3/2)t^2[/tex]
[tex]= 0f1 + 0t + 1t^2 + 1f1 + 0t + 0t^2 + 0f1 + (1/2)t^2[/tex]
[tex]= 1f1 + 0t + (3/2)t^2[/tex]
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a student willing to participate in a debate competition is required to fill out a registration form. answers to the follow questions on the form are what type of data?
A student willing to participate in a debate competition is required to fill out a registration form.
Form filling in two types of data i.e.,
Quantitative dataCategorical dataQuantitative data :
Quantitative data is data that can be counted or measured in numerical values. The two main types of quantitative data are discrete data and continuous data. Height in feet, age in years, and weight in pounds are examples of quantitative data. Qualitative data is descriptive data that is not expressed numerically.
Categorical data:Categorical data is a collection of information that is divided into groups. i.e., if an organization or agency is trying to get a biodata of its employees, the resulting data is referred to as categorical.
a. What is your date of birth?
Quantitative.
b. Have you participated in any debate competition previously?
Categorical.
c. If yes, how many debate competitions have you participated so far?
Quantitative.
d. Have you won any of the competitions?
Categorical.
e. If yes, how many have you won?
Quantitative.
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The given question is incomplete, complete question is:
A student willing to participate in a debate competition required to fill a registration form. State
whether each of the following information about the participant provides categorical or quantitative
data.
a. What is your date of birth?
b. Have you participated in any debate competition previously?
c. If yes, how many debate competitions have you participated so far?
d. Have you won any of the competitions?
e. If yes, how many have you won?
Please write answer in two parts. A. Main answer (correctly paraphrased, addressing all aspect of the question) B. Explanation (Step-by-step explanation)
Help me pls........................
All the possible angle measures are given as follows:
25º and 35º.
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:
Sine of angle = length of opposite side to the angle divided by the length of the hypotenuse.Cosine of angle = length of adjacent side to the angle divided by the length of the hypotenuse.Tangent of angle = length of opposite side to the angle divided by the length of the adjacent side to the angle.On the first quadrant, we have that:
The cosine is greater than the sine for angles that are less than 45º.The cosine is equals to the sine for an angle of 45º.The cosine is less than the sine for angles that are greater than 45º.More can be learned about trigonometric ratios at brainly.com/question/24349828
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Which expression can be used to find the surface area of the following rectangular prism? Choose 1 answer: (Choice A) A 15+15+10+10+6+615+15+10+10+6+615, plus, 15, plus, 10, plus, 10, plus, 6, plus, 6 (Choice B) B 10+10+6+610+10+6+610, plus, 10, plus, 6, plus, 6 (Choice C) C 15+15+10+10+615+15+10+10+615, plus, 15, plus, 10, plus, 10, plus, 6 (Choice D) D 10+610+6
The expression used to calculate the surface area of the rectangular prism is given by option b. 2×6 + 2×10 + 2×15.
Let us consider 'l' be the length of the rectangular prism.
'w' be the width of the rectangular prism .
'h' be the height of the rectangular prism.
From the attached figure we have,
Length of the rectangular prism l = 3 units
Width of the rectangular prism w = 2 units
Height of the rectangular prism h = 5 units
Surface of the rectangular prism = 2(lw + wh + hl )
Substitute the values in the formula we get,
⇒Surface of the rectangular prism = 2 (3×2 + 2×5 + 5×3 )
⇒Surface of the rectangular prism = 2 ( 6 + 10 + 15)
⇒Surface of the rectangular prism = 2×6 + 2×10 + 2×15
Therefore, the surface area of the rectangular prism with given dimensions is equal to option b. 2×6 + 2×10 + 2×15.
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The above question is incomplete, the complete question is:
Which expression can be used to find the surface area of the following rectangular prism?
Attached figure.
Can someone help me fast with this please!?!?!
If s(d) represents the number of songs downloaded in a year d, what is the interpretation of s(2020) = 5,220,000.
A. 5,220,000 songs were downloaded in the year 2020.
B. There is not enough information to interpret the information.
C. In the year 2020 $5,220,000 was earned from downloaded songs.
D. 2,020 songs were downloaded at a cost of $5,220,000.
the correct answer is A.
5,220,000 songs were downloaded in the year 2020.
If s(d) represents the number of songs downloaded in a year d, what is the interpretation of s(2020) = 5,220,000?The interpretation of s(2020) = 5,220,000 is "5,220,000 songs were downloaded in the year 2020".
Therefore, the correct answer is A. 5,220,000 songs were downloaded in the year 2020.
Interpretation refers to the process of explaining or giving meaning to information, data, or phenomena. It involves analyzing and making sense of information to draw conclusions or make decisions based on the findings.
Interpretation can involve subjective judgment and may depend on the perspective, assumptions, or biases of the interpreter.
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TIME SENSITIVE! please help !
Consider the word PENCIL. If all the letters are used, and the first letter can’t be N or L, how many ways can the letters be arranged?
A) 720
B) 480
C) 360
D) 96
The number of ways to arrange the letters of PENCIL when the first letter can't be N or L is option (B) 480.
The word PENCIL has 6 letters, here we have to use permutation method. If all the letters are used, there are 6! = 720 ways to arrange them. However, the first letter can’t be N or L. This means that there are only 4 choices for the first letter (P, E, C, or I). After choosing the first letter, there are 5 letters left to arrange,
So there are 5! = 120 ways to arrange them.
Therefore, the total number of ways to arrange the letters of PENCIL when the first letter can’t be N or L is
4 x 5! = 4 x 120 = 480
Therefore, the correct option is (B) 480.
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es meet at right angles.) 6 m 2 m 3 m 5 m grass cement 2 m 4 m square meters
The area of the cement part is 24 m².
What is area?Area is the region bounded by a plane shape.
To calculate the area of the part with cement. we use the formula below
Formula:
Area of the part with cement = Area of the backyard-Area of the grassA = LW-lw....................... Equation 1Where:
A = Area of the part with cementL = Length of the backyardW = Width of the backyardl = Length of the cementw = Width of the cementFrom the question,
Given:
L = 5 mW = 6 ml = 3 mw = 2 mSubstitute these values into equation 1
A = (5×6)-(2×3)A = 30-6A = 24 m²Hence, the area is 24 m².
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find the volume of a cylinder with a diameter of 22 yd and a height of 7 yd
V=π(d
2)2h=π·(20.12
2)2·6.4≈2034.42618m
Can someone help me asap? It’s due tomorrow.
Answer:
I would say convenience sampling. It's hard to tell. Sampling every other person is like systematic sampling, BUT convenience sampling would be to sample people that are easy to reach.
Graph y ≥ -x2 - 1.
Click on the graph until the correct graph appears.
Answer:
To graph this inequality, you can start by graphing the related function y = -x^2 - 1. This is a downward-facing parabola that opens downwards and has a vertex at (0, -1).
To graph the inequality y ≥ -x^2 - 1, you need to shade the region above the graph of the parabola. This is because any point above the parabola will have a y-coordinate that is greater than or equal to the corresponding y-coordinate on the parabola.
So, to graph the inequality, you can shade the region above the parabola. You can use a dotted line to represent the boundary of the inequality, since the inequality includes the possibility of equality (y = -x^2 - 1).
I hope this helps!
the major flaw of the linear probability model is that a. the actuals can only be 0 and 1, but the predicted are almost always different from that. b. the regression r2 cannot be used as a measure of fit. c. people do not always make clear-cut decisions. d. the predicted values can lie above 1 and below 0.
The major flaw of the linear probability model is, Option d, which allows predicted values to range from above 1 to below 0
The binary dependent variable, which accepts values of 0 and 1, and the independent variables are assumed to have a linear relationship under the linear probability model.
The anticipated values from the linear probability model, however, can range from 0 to 1, and in some circumstances, they can be either above or below 0. This goes against the dependent variable's probabilistic character and can produce inaccurate forecasts.
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Mr. Yara has 200 acres of land available to plant for three types of fruit trees (lemon, peach and
cherry). Based on the market survey, lemon has a selling price of $2 per kg; peach has a selling
price of $1. 5 per kg and cherry has a selling price of $4 per kg. The average yield per acre for
lemon, peach and cherry is 4, 6 and 2 tonne, respectively. The fertilizer requires per acre for
lemon, peach and cherry is 100, 100 and 50 kg, respectively. An acre of lemon and cherry
requires 10 labour hours each whereas an acre of peach requires 12 labour hours. Maximum
availability of labour is 20,000 hours. The cost of fertilizer is $2 per kg and the cost of labour is
$40 per hour. What is the optimal allocation of acre to the three types of fruit trees?
[1 tonne = 1000kg]
(a) Formulate a linear programming model to maximize the profit.
(b) Find the optimal solution by using simplex algorithm.
(a) The linear programming model to maximize the profit is written as,
Maximize Z = 2(4x1)(100) + 1.5(6x2)(100) + 4(2x3)(1000) - 2(100x1 + 100x2 + 50x3) - 40(10x1 + 12x2)
(b) The optimal solution is x1 = 0, x2 = 8/3, x3 = 8, x4 = 0, and the maximum profit is $40.
(a) Linear programming model:
Let x1, x2, and x3 be the number of acres allocated to lemon, peach, and cherry trees, respectively. Then, the objective function we want to maximize is:
Maximize Z = 2(4x1)(100) + 1.5(6x2)(100) + 4(2x3)(1000) - 2(100x1 + 100x2 + 50x3) - 40(10x1 + 12x2)
The first term represents the revenue from selling lemons, the second term represents the revenue from selling peaches, the third term represents the revenue from selling cherries, the fourth term represents the cost of fertilizer, and the last term represents the cost of labor.
The constraints are:
x1 + x2 + x3 ≤ 200 (total available land)
10x1 + 12x2 + 10x3 ≤ 20000 (total available labor hours)
x1, x2, x3 ≥ 0 (non-negativity constraints)
(b) Simplex algorithm:
Convert the linear programming model into standard form by introducing slack variables and expressing all variables in terms of these variables.
Maximize Z = 2(4x1)(100) + 1.5(6x2)(100) + 4(2x3)(1000) - 2(100x1 + 100x2 + 50x3) - 40(10x1 + 12x2)
Subject to:
x1 + x2 + x3 + x4 = 200
10x1 + 12x2 + 10x3 + x5 = 20000
x1, x2, x3, x4, x5 ≥ 0
In this case, the entering variable is x1, as it has the highest coefficient in the objective function.
Step 5 (continued):
1.6 0.1 0 1 -48 32 <- Z
0.4 0.9 1 1/10 0 40 <- x1
8.4 3.3 0 -1/10 1 1840 <- x5
The entering variable is x3, as it has the highest coefficient in the objective function.
The leaving variable is x1, as it has the smallest ratio of RHS to its coefficient in the x3 column.
x2 x1/12 x3 x5/120 x4 RHS
2.5 1/5 0 -1/60 0 40 <- Z
0.5 -1/5 1 1/60 0 8 <- x3
0.5 2/15 0 1/60 1/10 8/3 <- x2
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help please its due in a few minuets
Answer:
use desmos graphing calculator it helps alot
Step-by-step explanation:
x^{2}-x-6=0 has two zeros/solutions
x^{2}-x-6=0 has 1 zero/solution
x^{2}-x-6=0 has no zero/solution
(15 POINTS) HELP ASAP TY!!
How are solving systems of two linear equations or inequalities and solving systems of two quadratic equations or inequalities alike? How are they different?
Divide. Write the missing
numbers.
62) 5,472
1
9
16
R
62 5 4 7 2
"
R
9
1 6
(Type whole numbers.)
we get the quotient as 161 and remainder as 11.So the missing numbers are:R = 11
9, 1, 6
What is long division method ?First divide the greater number by the smallest number and then divide the smaller number by the remainder. We continue the process until we get 0 remainder. The divisor is the HCF of the given numbers.
To divide 5,472 by a two-digit number, we can use long division method as follows:
34) 5 4 7 2( 34
- 4 0
______
1 4 7
- 1 3 6
_______
1 1
Therefore, we get the quotient as 161 and remainder as 11.
So the missing numbers are:
R = 11
9, 1, 6
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The function V(t) = 30000(0.85) value V(t) represents the values v(t) of Nancy's car after t years. What is the depreciation rate of Nancy's car?
The depreciation rate of Nancy is 15%.
What is known by depreciation?Depreciation is the reduction in the value of an asset over time due to wear and tear, obsolescence, or other factors. It is a non-cash expense that is recorded on a company's income statement, which reflects the decrease in the asset's value during its useful life. Depreciation is commonly used in accounting to allocate the cost of an asset over its useful life, and it helps businesses to accurately reflect the true value of their assets on their financial statements.
Define function?In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output.
The given function V(t) = [tex](30000*0.85)^{t}[/tex]represents the value of Nancy's car after t years.
Depreciation rate is the rate at which the value of an asset decreases over time. In this case, the depreciation rate of Nancy's car is 1 - 0.85 = 0.15 or 15%.
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In Circle C, the diameter AB bisects the chord EF.
If m
In the circle the mesaure of ∠ACF is 7
What do you mean by Diameter ?The distance from the centre of a circle to any point on the boundary is called the radius. The radius is half of the diameter; 2r=d 2 r = d . The line segment that joins two points on the circle is a chord.
If diameter of a circle bisects a chord ,then it must be perpendicular to the chord.
∴ m∠ACF = 90°
(8x + 34)° = 90°
8x = 90 - 34
x = 56/8
x = 7
Hence,mesaure of ∠ACF = 7
Complete question : In Circle C, the diameter AB bisects the chord EF.
If m∠ACF = (8x+34)°, enter in the correct value of x.
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The function f(x) = -4(3)-4+3 represents the value of a savings account in dollars, x months after the individual opened
the account.
In how many months will be account have a balance of $0?
O 0.26 months
O 2.46 months
O 3.74 months
O 4.26 months
NEED HELP ASP
Answer: A
Explanation:
Noah is visiting his aunt in Texas. He wants to buy a belt buckle whose price is $25. He knows that the sales tax in Texas is 6.25%.
How much will the tax be on the belt buckle?
The tax on the belt buckle is $1.56
What is Rate?
In general terms, a rate is a measure of the relationship between two quantities that are measured in different units. A rate expresses how much of one thing there is per unit of another thing. For example, miles per hour is a rate that expresses how many miles are traveled in one hour.
To calculate the tax on the belt buckle, we need to multiply the price of the belt buckle by the sales tax rate:
Tax = Price x Tax rate
In this case, the price of the belt buckle is $25 and the sales tax rate is 6.25%. To convert the tax rate from a percentage to a decimal, we need to divide it by 100:
Tax rate = 6.25% ÷ 100 = 0.0625
Now we can calculate the tax on the belt buckle:
Tax = Price x Tax rate
= $25 x 0.0625
= $1.56
Therefore, the tax on the belt buckle is $1.56. The total cost of the belt buckle including tax would be $25 + $1.56 = $26.56.
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