The inequalities are among the constraints for this situation include the following;
x + y ≥ 50
x ≥ 5y
y ≤ 30
How to write the required system of inequalities?In order to write a system of inequalities to describe this situation, we would assign variables to the number of key chains and number of thumb drives respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of key chains.Let the variable y represent the number of thumb drives.Based on the information provided, we can logically deduce that there are three (3) inequalities with respect to the constraints for this situation.
Since Sarah needs to make at least (greater than or equal to) 60 gift bags for an event with each gift bag containing at least 1 thumb drive or 1 key chain, we have;
x + y ≥ 50
By using at least 5 times as many key chains as thumb drives, we have;
x ≥ 5y
Lastly, Sarah has 30 thumb drives and 200 key chains;
y ≤ 30
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Write an equation of a line that is perpendicular to y = 4x + 8 and passes through (−8, 4).
y equals negative one-fourth times x minus 7
y equals negative one-fourth times x plus 2
y = 4x + 24
y = 4x + 36
The equation the line perpendicular to the line given is y = -x/4+2
What is slope?The slope of a line is a number that describes both the direction and the steepness of the line.
Given that, a line is perpendicular to y = 4x + 8 and passes through (−8, 4).
The equation of general line is; y = mx+c, where m is the slope.
We know that, two lines perpendicular to each other will have slope negative reciprocal of each other.
Therefore, the slope of the asked line is -1/4
Finding for c,
4 = -1/4x(-8)+c
c = 4-2
c = 2
Therefore, equation will be; y = -x/4 +2
Hence, The equation the line perpendicular to the line given is y = -x/4+2
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Veronica is choosing between two health clubs. After how many months will the total cost for each health club be the same?
In 4 months, the total cost of Yoga Studio A would equal that of Yoga Studio B
What is total ?
Total refers to an entire or complete amount, and the verb "to total" means to combine two numbers or to destroy anything. In mathematics, you add integers to get the total; the outcome is the total. The result of adding 8 and 8 is 16.
The cost of Yoga Studio A at any given month can be represented as:
= Membership fee + (Monthly fee x Number of months)
Assuming number of months is x, the formula would be:
= 24 + (21.50 × x)
= 24 + 21.50x
Yoga Studio B would be:
= 41 + (17.25 × x)
= 41 + 17.25x
In order to find the month that these costs would be equal, equate both formulas:
24 + 21.50x = 41 + 17.25x
21.50x - 17.25x = 41 - 24
4.25x = 17
x = 17 / 4.25
x = 4 months
In conclusion, their costs would be the same in the 4th month.
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I begggggg Pls help asappppppp !!!!!!!
Answer:
Translation, then reflection. E
Step-by-step explanation:
E is correct because 1 and 2 have a reflection meanwhile number 3 has a translation.
5. Max wants to start his own lemonade stand. It cost him $3 to make each cup of lemonade plus he has
to pay a $35 renters fee for his stand. He sells the lemonade for $5 per cup.
a. Write a system of linear equations for his cost and his revenue.
The linear equations for cost price and selling price are c = 3x + 35 and y = 5x.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Let Max make x cups of lemonade cup.
According to given conditions,
Cost of 1 cup of lemonade = $3.
Also, Max pay for renters fee = $35.
The cost of x cups of lemonade = 3x
The total cost c = 3x + 35
Since, Max sells lemonade for $5 per cup.
Let the selling price is represented by y,
Then selling price y = 5x
Hence, linear equations for cost price and selling price are c = 3x + 35 and y = 5x.
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Moussa decides to estimate the volume of a coffee cup by modeling it as a right cylinder. He measures its height as 7.7 cm and its radius as 3.2 cm. Find the volume of the cup in cubic centimeters. Round your answer to the nearest tenth if necessary.
Answer:
247.7 cm³
Step-by-step explanation:
V = πr²h
V = 3.14159 × (3.2 cm)² × 7.7 cm
V = 247.70808 cm³
Answer: 247.7 cm³
anova is to be used in a research study using two therapy groups. for each group, scores will be taken before the therapy, right after the therapy, and one year after the therapy. how many different sample means will there be? a. two b. three c. five d. six
If Anova is used in a research study using two therapy groups , then there will be 6 different sample means , the correct option is (d) .
In the question ,
it is given that ,
Anova is used in a research study using two therapy groups ,
for each group , scores will be taken
(i) before the therapy,
(ii) right after the therapy, and (iii) one year after the therapy.
that means ,
the number of therapies group = 2 and
the number of times the measurement is taken is = 3 .
So , the number of sample means is = 2 × 3 = 6 .
Therefore , there will be 6 different sample means .
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Someone Help me please.
Answer: 64 ounces
Step-by-step explanation:
Let's start with what we know:
1 pound = 16 ounces, so
4 pounds would equal
64 ounces!
Answer:
64 oz
Step-by-step explanation:
1lb =16oz so you multiply 16 by 4 and you get 64
can you give me one more day?
Answer:
sure
Step-by-step explanation:
just ask
Answer:
Only if you get it done by 11:59 tomorrow
Step-by-step explanation:
multicollinearity exists when a variable is correlated to other variables. group of answer choices true false
The given statement is true, multicollinearity exists when a variable is correlated to other variables.
What is multicollinearity ?
Correlations between two or more independent variables in a multiple regression model can be referred to as multicollinearity. When a researcher or analyst tries to figure out how well each independent variable can be utilized to predict or comprehend the dependent variable in a statistical model, multicollinearity can result in skewed or misleading conclusions.
When two or more explanatory variables in a multiple regression model have strong linear relationships with one another but not with the dependent variable, this is referred to as multicollinearity.
Since a variable is multicollinear when it is correlated with other variables, the offered statement in the question is true.
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write the coordinates of the vertices after a reflection over the line y= -2
k'(4, -7)
L'(9, -7)
M'(6, -5)
N'(5, -5) are the new coordinates of the vertices.
Coordinates of a point:
A point's coordinates are a pair of numbers that pinpoint where it is precisely on a two-dimensional plane.
Remember that the x and y axes are two axes that are at right angles to one another and make up the coordinate plane.
A particular point's coordinates show how far along each axis it is situated.
The coordinate's sign is crucial. A positive number indicates moving upward or to the right (x) (y).
Negative numbers indicate turning left (x) or falling (y).
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a tree contains some number of leaves (degree 1 vertices) and four non-leaf vertices. the degrees of the non-leaf vertices are 10, 7, 4, and 4. how many leaves does the tree have?
The total number of leaves the tree has is :
19 where the degrees of the non-leaf vertices are 10, 7, 4, and 4.
Given:
a tree contains some number of leaves (degree 1 vertices) and four non-leaf vertices.
the degrees of the non-leaf vertices are 10, 7, 4, and 4.
how many leaves does the tree have = ?
The degree of the non leaf vertices are 10, 7, 4, 4
let the number of leaves be = k
So the tree has 4+k vertices.
and hence (4+k)-1 edge ⇒ 3+k
so ∑ deg(v) = 10+7+4+4+1k
= 25+k
and 2[E(T)] = ∑ deg(v)
2(3+k) = 25+k
6 + 2k = 25+k
2k-k = 25-6
k = 19
Hence the number of leaves the tree have is 19.
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how do I graph 0.75x+5 and what are the pairs
What are the 3 types of equations?
Linear equation , quadratic equation and polynomial equation are the three types of equation.
1. Linear Equations: These equations have one or more variables and can be written in the form of y = mx + b, where m is the slope and b is the y-intercept.
2. Quadratic Equations: These equations have one variable and can be written in the form of ax^2 + bx + c = 0, where a, b and c are constants.
3. Polynomial Equations: These equations have one or more variables and can be written in the form of a polynomial, such as ax^n + bx^n-1 + ... + c = 0, where a, b, c, and n are constants.
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please help me with this!!!
Answer:
Answer =6/100
=3/50
hope it's help uhh
Where is the vertex in ABC?
The vertex in triangle ABC is at point A, B, and C.
Step by Step explanation :
Given triangle is represented by ΔABC
Triangle is representation of three line segment , three vertices , and three angles enclosed in it.Two rays meet at one point forms a vertex.When side AB and AC intersect each other at point A , point 'A' is known as vertex.When side BA and BC intersect each other at point B , point 'B' is known as vertex.When side CA and CB intersect each other at point C , point 'C' is known as vertex.Therefore, the vertex of the given triangle ABC is given by point A, B , and C.
The complete question is:
Where is the vertex in triangle ABC?
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refer to scenario 5.2. colin decided to apply some of the things he had learned in his marketing research class to his business. the first thing he should do is to which will help him a. collect secondary data; contact the appropriate respondents. b. develop a questionnaire; collect the necessary data. c. conduct store exit interviews; give him an idea of the problem. d. define the problem to be researched; determine his data needs. e. identify a sample frame; contact the appropriate respondents.
The first thing he should do is to define the problem to be researched and determine his data needs.
what is scenario?scenario (plural scenarios) a description of the storyline of a play or book. The actual screenplay, as well as any related treatments or outlines. An example of an expected or alleged series of events, expressed as an outline or model.
Intentionally casual, unfinished, and incomplete narrative depictions of significant use circumstances occurring throughout time are called scenarios. A usage scenario describes how someone might use a present system or product. The utilization of a system or product that is currently being developed is described in a design scenario.
The first thing he should do is to define the problem to be researched and determine his data needs.
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A force does work on a 50 g particle as the particle moves along the following straight paths in the xy-plane: 25 j from (0 m, 0 m) to (5 m, 0 m); 35 j from (0 m, 0 m) to (0 m, 5 m); -5 j from (5 m, 0 m) to (5 m, 5 m); -15 j from (0 m, 5 m) to (5 m, 5 m); and 20 j from (0 m, 0 m) to (5 m, 5 m).
1) It is a conservative force, yes.
2) At (5m, 5m), the potential energy is 20 J.
1) If the work that a force performs when moving an item depends only on the object's initial and final positions and not on the path travelled, the force is said to be conservative.
Let's verify if this condition is met for the force in this problem:
- For moving from (0 m, 0 m) to (5 m, 5 m), the work done is 20 J (A)
Then we can go from (0 m, 0 m) to (5 m, 5 m) through a different path:
- from (0 m, 0 m) to (5 m, 0 m) (work done: 25 J)
- from (5 m, 0 m) to (5 m, 5 m) (work done: -5 J)
Total work done in the second path: 25 J + (-5 J) = 20 J --> same as (A)
We can also go from (0 m, 0 m) to (5 m, 5 m) through a different path:
- from (0 m, 0 m) to (0 m, 5 m) (work done: 35 J)
- from (0 m, 5 m) to (5 m, 5 m) (work done: -15 J)
Total work done in the third path: 35 J + (-15 J) = 20 J --> same as (A)
So, the force is conservative, since the work done does not depend on the path taken.
2) For a conservative force, the change in potential energy of the object moved by the force is equal to the work done by the force in moving the object from A to B.
Here have:
Point A: (0m, 0m)
Point B: (5m, 5m)
In this problem, the potential energy at the origin (point A) is zero, so,
[tex]W = U_{b} - U_{a}[/tex]
Also we know that the work done is W = 20 J
So, we find
[tex]U_{b} = W + U_{a}\\=20 + 0\\= 20J[/tex]
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Correct Question:
A force does work on a 50 g particle as the particle moves along the following straight paths in the xy-plane: 25 J from (0 m, 0 m) to (5 m, 0 m); 35 J from (0 m, 0 m) to (0 m, 5 m); -5 J from (5 m, 0 m) to (5 m, 5 m); -15 J from (0 m, 5 m) to (5 m, 5 m); and 20 J from (0 m, 0 m) to (5 m, 5 m).
Is this a conservative force?
If the zero of potential energy is at the origin, what is the potential energy at (5m, 5m)?
inequality question? Ryan planning a party for his parents' anniversary. The caterer charges a delivery fee of $14 on an additional $5.25 per person. If he can spend no more than $350, how many people can he invite?
Answer:47
Step-by-step explanation:
Answer:
Your answer is 47, hope it helps.
If the 1st person save 1/4 of total , 2nd person saves 2/3 and 3rd person saves 1/10 , which fraction left to pay for the birthday party.
After solving the fractions, we can conclude that the fraction left for the pay birthday party is 17/3.
What are fractions?An element of a whole is a fraction.
The number is represented mathematically as a quotient, where the numerator and denominator are split.
Both are integers in a simple fraction.
A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
So, calculate as follows:
1 * 1/4 = 1/4 ...(1)
1/4 * 2/3 = 2/12 ...(2)
2/12 * 1/10 = 2/120 ...(3)
Fraction left to pay:
1 - (1/4 + 2/12 + 2/120)
1 - (30+20+2/120)
1 - (52/120)
1 - 13/30
30-13/30
17/30
Therefore, after solving the fractions, we can conclude that the fraction left for the pay birthday party is 17/3.
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Help please, it’s for an assignment
{30,40,50} data set has the greatest sample standard deviation.
What is Statistics?Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.
The formula for Standard deviation is
σ=√∑(x-µ)²/n
µ is the mean.
For data set: {102,105, 108}
Mean=105
S.D=√∑(102-105)²+(105-105)²+(108-105)²/3
=√9+9/3=√18/3=√9×2/3=3√2/3=√2
For data set: {55,60,65}
Mean=60
S.D=√∑(55-60)²+(60-60)²+(65-60)²/3
=√25+25/3=5√2/3
For data set: {120,121,122}
Mean=121
S.D=√(120-121)²+(121-121)²+(122-121)²/3
=√1+1/3=√2/3
For data set: {30,40,50}
Mean=40
S.D=√(30-40)²+(40-40)²+(50-40)²/3
=√200/3
=10√2/3
Hence, {30,40,50} data set has the greatest sample standard deviation.
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What is the value of x x if x3=3.4
x3
=3.4 answer as a decimal in the
The value of x in the expression, x³ = 3.4 is x = 1.50369.
What is an expression?A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations.
Given:
x³ = 3.4
Calculate the value by taking the cube root of both sides as shown below,
x = ∛3.4
x = 1.50369
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a tar heel basketball player makes 80% of his free throw attempts. among 3 attempts he has, the probability that he at least misses one is equal to
The probability that he at least misses one is equal to 61/125.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given in the question
basketball player makes 80% of his free throw attempts i.e.
P(Success) = 4/5 or 0.8
P(Miss the attempt) = 1 - 0.8 = 0.2 or 1/5
Number of sample (n) = 3
We need to calculate probability that he at least misses one i.e.
P(X > = 1) = 1 - P(X < 1) = 1 - P(X = 0)
Here we will use binomial probability distribution which can be calculated as
P(X = n |N, p)= NCn x (p^n) x (1-p)^(N-n)
P(X > = 1) = 1 - P(X < 1) = 1 - P(X = 0) = 1 - 3C0 x (1/5)^0 x (1 - 1/5)^(3-0)
= 1 - (1 x 1 x 64/125) = 1 - 64/125 = 61/125
Hence, the probability that he at least misses one is equal to 61/125.
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Blank is the mother of the daughter of the mother of Mia's daughter?
Mia's is the mother of the daughter of the mother of Mia's daughter.
What is athematic?
Athematic is a type of language that does not use inflectional morphology. This means that words do not change their form to indicate different aspects of meaning, such as tense, person, number, gender, case, and mood. Instead, the meaning of a sentence is conveyed through the use of different words and word order. Many languages, such as English, Chinese, and Japanese, are athematic. Additionally, some languages, such as Russian, have both athematic and inflectional forms.
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Complete Question:
_____ is the mother of the daughter of the mother of Mia's daughter.
A) Mia
B) Emely
C) Tena
D) Anna
Shayla’s family room measures 20 ft by 17 ft. There is an area rug centered in the room, 3 ft away from each wall. Shayla wants to pay a company to steam clean just the area outside the rug. If they charge $10 per square foot, how much will Shayla have to pay?
Shayla will pay a sum of $1020 for cleaning the remaining area.
What is Area?
The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.
Solution:
Area of Rectangle = Length * Breadth
Area of the Room = 20*17 = 340 sq. ft.
Area of the Rug = 17*14 = 238 sq. ft.
Area Left = 340 - 238 = 102 sq. ft.
Total Charges will be $10*102 = $1020
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Solve for x.
x+(−1.8)=−5.37
Enter your answer as a decimal in the box.
x =
Answer:
x = -3.57
Step-by-step explanation:
First, subtract the answer and the other interger: -5.37 - (-1.8). Two negatives equal a negative. So, your answer would be -3.57
To double check, you would add -3.57 + (-1.8) [-+-=-] Equals, -5.37.
I hope this helped you!
68 miles+10 fewer miles+85 miles equal what?
The value of the expression will be;
⇒ 211 miles
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 68 miles + 10 fewer miles + 85 miles
Now,
Since, The expression is,
⇒ 68 miles + 10 fewer miles + 85 miles
Hence, We get;
⇒ 68 miles + 10 fewer miles + 85 miles
⇒ 68 + (68 - 10) + 85
⇒ 68 + 58 + 85
⇒ 211
Thus, The value of the expression = 211 miles
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What is range in relation and function?
The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.
In the given question we have to explain what is range in relation and function.
The range refers to all the entities (output) that result from a relation or function. The Range set is made up of all used output values (dependent values).
The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.
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What are the 3 examples of equation?
1. y = 2x + 3
2. y = x^2 + 5x - 3
3. y = -2x^2 + 7x – 4
are the 3 examples of equation with y intercept.
1. The first example is a linear equation, which has the form of y = mx + b, where m is the slope and b is the y-intercept.
2. The second example is a quadratic equation, with the form of y = ax^2 + bx + c, where a, b, and c are coefficients.
3. The third example is also a quadratic equation, with the form of y = ax^2 + bx + c, where a, b, and c are coefficients.
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Please help!
Determine which integer in the solution set will make the equation true.
6x − 8 = 2(2x + 3)
S: {−2, 0, 7, 9}
−2
0
7
9
The integer in the solution set will make the equation true is 7.
What is integer?The integer is a whole number which can be negative or positive or zero, they are written in fraction formate.
Given is an equation, 6x − 8 = 2(2x + 3)
Checking for x = -2, we get,
LHS = -2x6 - 8 = -12-8 = -20
RHS = 2(-2x3+3) = 2(-4+3) = 2x-1 = -2
LHS ≠ RHS
Checking for x = 0, we get,
LHS = 6x0-8 = -8
RHS = 2(2x0+3) = 2x3 = 6
LHS ≠ RHS
Checking for x = 7, we get,
LHS = 6x7-8 = 42-8 = 34
RHS = 2(2x7+3) = 2x17 = 34
LHS = RHS
Therefore, when x =7, both the expressions are equal.
Hence, the equation is true for the x =7
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a new superman mastercard has been issued to 2000 customers. of these customers, 1500 hold a visa card, 500 hold an american express card and 40 hold a visa card and an american express card. find the probability that a customer chosen at random holds a visa card, given that the customer holds an american express card.
The probability that a customer chosen at random holds a Visa card, given that the customer holds an American Express card, is 40/500 = 0.08.
How does one determine probability?The number of possible outcomes is divided by the total number of possible outcomes to determine probability. Odds are not the same as probability. Odds are calculated by dividing the chance of a given event by the probability that it won't.
Why does probability matter?Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.
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