a company manufactures commercial and domestic heating systems at two plant sites, it can produce no more than 1300 units per month, and it needs to fill orders at least 500 commercial units and 650 domestic units.
a)write the system of inequalities that describes the constraint on the production for these orders.
b) graph the solution sets of this system of inequalities.
The system of inequalities are : C + D ≤ 1300 ; C≥500 and D≥650
The graph can be made using these three inequalities.
How do you describe linear inequality with two variables?
The solution(s) of a linear inequality in two variables like mx + ny > p is value in pair (x, y) that satisfies the inequality when the values of x and y are substituted into that inequality. The graph of that inequality in two variables is the set of points that represents all roots to the inequality.
Let the commercial units be represented by C and Domestic units by D,
Given that both units are not more than 1300.
Means, C + D ≤ 1300
Also Given that, Commercial units are atleast 500 i.e, C≥500
Similarly, for domestic D≥650
a)The system of inequalities are:
C+D ≤1300
C≥500
D≥650
b)Graph for the above inequalities
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Refer to the graph attached with solution.
Anita said, "I'm leaving school today at 1:15."
Frank replied, "I was able to fool the nurse into letting me leave early once, but I got in trouble when she found out I was faking.
What form of punctuation is missing?
A.
quotation marks
B.
There is no missing punctuation.
C.
a semicolon
D.
a colon
Answer:
A
Step-by-step explanation:
The quotation mark is missing at the very end of the last quote right after:
I was faking.
Answer:
i think A
Step-by-step explanation:
The quotation mark is missing at the very end
Write an expression showing the sum of 8 and a number f.
Show Your Work
Answer:
8+f
Step-by-step explanation:
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answer:
G(x) = x^2 -10x +25
Step-by-step explanation:
To translate F(x) 5 units to the right, replace x with (x-5).
G(x) = F(x-5) = (x -5)^2
G(x) = x^2 -10x +25
This??? What is wrong with it?
Answer:
15.8 sq. in. of paper will be required.
Step-by-step explanation:
The problem is that a drinking cup does not have a cover, so only the lateral surface area counts.
I.e. We need only the first term.
A = pi r l = pi * 1.5 * sqrt(3^2+1.5^2)
= 15.81 sq. in.
use the distributive property to simplify -2.5(-9 q + 16)
Answer:
Step-by-step explanation:
22.5q - 40
Notice that the number in in front of the q is +. That's because there are two minus signs multiplied and that makes a plus.
There is only 1 minus sign in front of 2.5 * 16 and that makes 40 minus.
A town’s athletic league contains 18 baseball teams. The board members of the league want to survey adults attending games to determine if they believe the athletes are showing good sportsmanship. The board members attended one game and surveyed an equal number of adults supporting each of the two teams. Which best explains the validity of the results?
invalid because of biased sampling
invalid because the sampled adults are not part of the population
valid because an equal number of adults supporting both teams were surveyed
valid because adults are the target population
It is not possible to determine the validity of the survey based solely on the information provided, and we cannot conclude whether the survey is valid or invalid.
What is a survey?A survey is a method of collecting information or data from a group of people or a population. The purpose of a survey is to gather information about people's opinions, attitudes, preferences, behaviors, or demographic characteristics.
According to question:The statement "valid because an equal number of adults supporting both teams were surveyed" is not sufficient to ensure the validity of the survey.
The validity of a survey depends on various factors, such as the sampling method, sample size, representativeness of the sample, and the accuracy of the survey questions.In this case, the sampling method is not specified, so we cannot determine whether it was random or biased. Also, the sample size is not mentioned, so we cannot evaluate whether it is large enough to be representative of the population. Additionally, the statement does not indicate whether the adults surveyed are a good representation of the target population or not.Therefore, it is not possible to determine the validity of the survey based solely on the information provided, and we cannot conclude whether the survey is valid or invalid.
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Answer:
A. invalid because of biased sampling
Step-by-step explanation:
Bonnie volunteers to bring bags of candy to her child’s class for the Halloween party this year. She buys one bag of candy A containing 150 pieces of candy, one bag of candy B containing 210 pieces of candy, and one bag of candy C containing 330 pieces of candy. She needs to use all the candy to create identical treat bags. How many treat bags can Bonnie make so that each one has the same number and variety of candy? How many of each type of candy will be in each bag?
Answer:
345 bags and would each have 2
In the xy-coordinate plane, the points (4, 2) and (-1, k) are on a line that is perpendicular to the line y=2x+1 . What is the value of k
A line of two points (4, 2) and (-1, k) is perpendicular to the line y=2x+1, then k = 9/2.
Given a line with equation y = mx + c, the slope is denoted by m.
Given 2 points with slopes m₁ and m₂, those two lines are perpendicular if:
m₁ x m₂ = -1
The given line equation is: y = 2x+1
Hence,
m₁ = 2
Compute the slope from 2 points: (4, 2) and (-1, k)
m₂ = (k - 2) / (-1 - 4)
m₂ = (-1/5) (k - 2)
Use the condition for perpendicular lines:
m₁ x m₂ = -1
2 x (-1/5) (k - 2) = -1
2k - 4 = 5
2k = 9
k = 9/2
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Sandra Had 1/4 of a roll of ribbon if she makes 3 bows how much ribbon did she use on each roll
Let's begin by listing out the information given to us:
Sandra has 1/4 of a roll of ribbon
To make 3 bows, she will use the amount of ribbon shown below:
\(n=\frac{1}{4}\cdot3=\frac{3}{4}RibbonRoll\)It is known that 25 % percent of Americans identify themselves as republican . In a random sample of n=20 Americans , what is the expected number of republicans ? It is known that 25 % percent of Americans identify themselves as republican . In a random sample of n=20 Americans , what is the standard deviation of the number of republicans ? ( Round to 2 decimal places )
Using percentages, we know that out of 20 people, 5 people that is 25% of the random sample consider themselves as republicans.
What is the percentage?A percentage is a figure or ratio stated as a fraction of 100 in mathematics.
We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.
As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200.
So, we have a random sample of 20 people.
n = 20
And we also know that 25% of Americans identify themselves as republicans.
Then the number of republicans in 20 people would be:
20/100 * 25
.2 * 25
5
Therefore, using percentages, we know that out of 20 people, 5 people that is 25% of the random sample consider themselves as republicans.
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Can someone help me with this?
Answer:
Step-by-step explanation:
We need to find the error first.
We can do this by subtracting, to find the difference
2.4-1.9 = 0.5
the difference, or error, is 0.5
Now we find a percentage that describes how much more 2.4 is than 1.9
We can create an equation to solve this
2.4 = 1.9 Times x
Now we need to find the value of x
x= 1.2632
now we double check
1.9 Times 1.2632 = 2.4
Now we round to a whole number
1.2632 = 1
To convert a number to a percentage, you need to bring the number over a decimal point.
so 1 becomes .1, or 10 percent
HELP PLEASE! I need to derive an identity from a different identity and I do not know how!
Derive: \(sin^2x+cos^x=1\) from \(cos(x+y)=cosxcosy-sinxsiny\) using cos(0)=1
Answer:
cos(0) = cos(x-x)=cos(x)*(cos-x)-sin(x)*sin(-x)=cos^2(x)-(-sin^2(x)) = sin^2(x)+cos^2(x) = cos(0) = 1
What is the answer to this?
The values of x, measure of A, B and D are 13, 29°, 151° and 61° respectively.
What is the value of x, measure of A, B and D?Given the data in the diagram;
Angle A and Angle C are vertical angles, hence they are congruent.
Hence
Angle A = Angle C
3x - 10 = x + 16
Solve for x
3x - x = 16 + 10
2x = 26
x = 26/2
x = 13
Hence, measure of angle A will be;
Angle A = 3x - 10
Plug in x = 13
Angle A = 3(13) - 10
Angle A = 39 - 10
Angle A = 29°
Angle C = x + 16 = 13 + 16 = 29°
Angle D and Angle C forms a complimentary angle
Hence
Angle D + Angle C = 90°
Angle D + 29° = 90
Angle D = 90 - 29
Angle D = 61°
Angle B is vertical to Angle D + 90°
Hence;
Angle B = 61° + 90°
Therefore, Angle B equals 151°.
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8
y
Type:
0
16
Equation:
1
20
2
25
3
314/
4
39
16
Answer:
Step-by-step explanation:
Write the equation that describes the line with slope = 2 and y-intercept = in slope-intercept form. 312. Jy = 2x+. D.) x = 2y+ 2/2. 14x ...
help please:) its a quick question
20 pointss
Answer:
1rst one
Step-by-step explanation:
Answer:
1st
Step-by-step explanation:
3.98 + 4.25 + 5.92 + 8.6 + _____ = 34.16
Answer:
11.41
Step-by-step explanation
step 1: 3.98 + 4.25 + 5.92 + 8.6= 22.75
step 2: subtract 22.75 from 34.16=
step 3: after subtracting your difference will be 11.41
3.98 + 4.25 + 5.92 + 8.6 + 11.41 = 34.16
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
Answer:
83 kids total
Step-by-step explanation:
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
girls = 54
boys = 54 - 25 = 29
54 + 29 = 83 kids total
kids that are on the playground are 83.
What is the sum?Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.
The total number of girls that are present is 54
The data given is that there are
25 fewer boys taht are4 present
The total number of boys will be
boys = 54 - 25 = 29
The number of kids that are present will be the total of boys and girls that are present.
Kids = boys + girls
54 + 29 = 83 kids total
The quantity of kids that are present in the playground is 83.
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4x+12 is greater than or equal to 4x-4
Answer:
20/:&&:/$/686th
Step-by-step explanation:
ggbnk
The volume of this prism is 2 1/2 cubic centimeters.
Its height is 1/3 of a centimeter.
What are possible values for its length and width?
One of the Possible values of length and width of the prism are 15 cm and 0.5 cm
What is the volume of the prism?In geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.
Given here: The volume of the prism is 2¹/₂=2.5 cm³
And the height is 1/3 cm
let the length and breadth of the prism is x and y respectively.
We know the volume of the prism as
1/3 × x×y=2.5
x×y=7.5
Thus possible values of length and breadth are the factors of 7.5
out of which one of the pair whose length is 15 cm and width 0.5 cm
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Please help me with my homework!!
(btw i choosed A randomly but it doesn't mean it's correct bc it's green it turns green for all all them so don't be confused about that)
Answer: B
Step-by-step explanation:
12 1/3
Which equation demonstrates the additive identity property?
(7 + 4 i) + (7 minus 4 i) = 14
(7 + 4 i) + 0 = 7 + 4 i
(7 + 4 i) (1) = 7 + 4 i
(7 + 4 i) + (negative 7 minus 4 i) = 0
Answer: The second one
Source: trust me bro
Answer:
B is the correct answer (7 + 4 i) + 0 = 7 + 4 i
Step-by-step explanation:
hope this helps!! have an amazing day <3
Choose the best graph that represents the linear equation:
-x = 2y + 1
The line slants downward from left to right, indicating that as x increases, y decreases.
The given linear equation is -x = 2y + 1. To represent this equation graphically, we need to rearrange it into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.Rearranging the given equation, we get:2y = -x - 1
Dividing both sides by 2:y = (-1/2)x - 1/2
The slope of the line is -1/2, which means that for every unit increase in x, y decreases by 1/2 unit. The y-intercept is -1/2, indicating that the line intersects the y-axis at (0, -1/2).
Based on this information, the best graph that represents the linear equation y = (-1/2)x - 1/2 is a straight line with a negative slope of -1/2, starting at the point (0, -1/2) and extending infinitely in both directions.
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A cylinder has a height of 10 centimeters. It's volume is 5306.6 cubic centimeters. What is the radius of the cylinder
Answer: 13
Step-by-step explanation: r=V
πh=5306.6
π·10≈12.9967
Solve the formula for the specified variable.V=ZRS for ZZ=
The given equation is
\(V=\text{ZRS}\)Let's divide the equation by RS.
\(\begin{gathered} \frac{V}{RS}=\frac{\text{ZRS}}{RS} \\ Z=\frac{V}{RS} \end{gathered}\)Therefore, the answer is\(Z=\frac{V}{RS}\)Que tiempo emplea un carro que viaja a 420km/h para recorrer una distancia de 120km
El carro tarda aproximadamente 0.29 horas o 17.4 minutos en recorrer una distancia de 120 km a una velocidad de 420 km/h.
Para calcular el tiempo que emplea un carro que viaja a una velocidad constante de 420km/h para recorrer una distancia de 120km, podemos utilizar la fórmula de la velocidad promedio, que es distancia dividida por el tiempo.
Despejando el tiempo, obtenemos que el tiempo es igual a la distancia dividida por la velocidad, es decir:
tiempo = distancia / velocidad
Sustituyendo los valores, tenemos:
tiempo = 120km / 420km/h
Realizando la división, obtenemos:
tiempo = 0.2857 horas
Podemos convertir esto a minutos multiplicando por 60, lo que nos da:
tiempo = 17.14 minutos
Por lo tanto, el carro tarda aproximadamente 17 minutos y 8 segundos en recorrer una distancia de 120km a una velocidad constante de 420km/h.
Hola, para calcular el tiempo que emplea un carro en recorrer una distancia de 120 km a una velocidad de 420 km/h, debes utilizar la fórmula:
Tiempo = Distancia / Velocidad
En este caso:
Tiempo = 120 km / 420 km/h = 0.2857 horas
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How to find the domain and range of numbers
Answer:
m a g i c t h a t ' s h o w
how long is each side of the box
Based on the information in the image, it can be inferred that the sides of the box measure 5 cm each.
How to find the measure of the sides of the box?To find the measure of the sides of the box we must carry out the following mathematical procedure:
As we know the volume of a cube is the equivalent to the length of its sides raised to the cube (raised to the 3). In this case, to identify the value of the sides we must find the cube root of the volume and the result is the length of the sides.
So this cube has a volume of 125cm³, so its sides would be the cube root of 125.
\(\sqrt[3]{125} = 5\)
According to the above, the length of the sides is 5 taking into account that all the sides are equal.
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Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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Arthur wants to make a raised rectangular frame, shown below, to grow basil plants. The basil plants are transplanted, with their soil, from 2-in.-wide pots into the frame. The diagram at the right below shows a top-down view of the frame. Each circle represents a transplanted basil plant with its soil. Arthur will add more soil to the frame until the soil is 3x in. deep. A cuboid with a height of 3x inches. A rectangle with six circles of two inches diameter placed at equal distance in two rows consisting of three circles each. The distance between each circle and the sides of the rectangle is marked as x inches. Write a polynomial function V to represent the volume of soil in the frame in terms of x. Explain.
9514 1404 393
Answer:
V = 36x^3 +102x^2 +(72 -18π)x cubic inches
Step-by-step explanation:
The frame contains 6 pots of diameter 2 inches, so their total area is ...
A = 6(πr^2) = 6(π(1 in)^2) = 6π in^2
The dimensions of the frame, in inches are ...
length: 4x +6
width: 3x +4
The area of the pots will subtract from the area of the frame to give the area covered by soil. The other dimension of the frame is ...
height: 3x
So the volume of soil in the frame is ...
V = (LW - 6π)(3x)
V = ((4x +6)(3x +4) -6π)(3x) = 3x(12x^2 +34x +24 -6π)
V = 36x^3 +102x^2 +(72 -18π)x . . . . cubic inches