Answer:
Area = 380 square inch
Volume = 697 cubic inch
Step-by-step explanation:
Diameter = 11
=> radius = 11/2 = 5.5
A = 4πr^2 =4·π·(5.5^2) ≈ 380 square inch
V=4/3πr^3=4/3·π·(5.5^3) ≈ 697 cubic inch
Which point is a solution to the system of linear equations?
y = −x + 6
x − 3y = 18?
A) (9,-3)
B) (6,1)
C) (1,3)
D) (-1,6)
Answer:
A
Step-by-step explanation:
y = - x + 6 → (1)
x - 3y = 18 → (2)
substitute y = - x + 6 into (2)
x - 3(- x + 6) = 18 ← distribute parenthesis and simplify left side
x + 3x - 18 = 18
4x - 18 = 18 ( add 18 to both sides )
4x = 36 ( divide both sides by 4 )
x = 9
substitute x = 9 into (1) and evaluate for y
y = - x + 6 = - 9 + 6 = - 3
solution is (9, - 3 )
If w is 15 when z is 9, and w varies inversely with z, what is the value for z when w is 5?.
The value of z is 27 when the value of w is 5, when w varies inversely with z.
What is proportionality constant?The ratio of two proportional values at a constant value is the proportionality constant. When either the ratio or the product of two variables results in a constant, the connection between the two is proportional. The ratio between the two stated quantities affects the proportionality constant's value. Direct variation and inverse variation are two different sorts of this relationship.
Given that, w is 15 when z is 9, and w varies inversely with z.
This can be represented as:
w = k (1 /z)
where, k is the proportionality constant.
Substituting the value of w = 15 and z = 9 we have:
15 = k(1/9)
k = 15(9)
k = 135
Substituting the value of k and w = 5:
5 = 135(1/z)
z = 135/5
z = 27
Hence, the value of z is 27 when the value of w is 5.
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Carissa the chessplayer is a very, very slow walker. In fact, she walks at 100 meters per hour when walking uphill, 180 meters per hour when walking across flat ground, and 250 meters per hour when walking downhill. One day, Carissa walks across Boston from a café to a boba shop, and then takes the same route in reverse to return to the café. If there are equal parts of uphill, flat ground, and downhill, then what was Carissa's average speed during the entire round trip?
According to the statement, the Ship must move at an average pace of 150 meters per hour.
Is Downhill unfavorable?The variable under examination is lessened when the gradient is "downhill" (negative). When used as a gauge of how well things are doing, "downhill" denotes a downward trend. Yet, if this indicates trouble or some other unpleasant quality, the situation is improving.
The chess player Carissa walks very, very slowly. She actually moves at speeds of 100 meters per hr upward, 150 meters per hr on flat terrain, and 200 meters every hour on downhill terrain.
Here,
Carissa traverses Boston on foot from a coffeehouse to a boba store before returning over the same path.
Total distance walked = 2 [200 + 100 + 150] = 900 meter
Total time = 2 [1 + 1 + 1] = 6 hour
Average speed is calculated as distance divided by time (900 / 6 = 150 m/s),
As a result, the needed Carissa average speed is 150 meters per hr.
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A person invested $13,000, part of the money, x, was placed in a stock that paid 9% annual interest. The rest of the money suffered a 5% loss. Express the total annual income from both investments, I, as a function of x.
The total annual income from both investment is
(14x -65000)/100
What is interest?Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
I = x× 9/100
I = 9x/100
(13000 - x) × 5/100
= (65000-5x)/100
therefore the total amount annual income
= 9x /100 - (65000-5x)/100
= (9x+5x-65000)/100
= (14x - 65000)/100
therefore the total annual income = (14x -65000)/100
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In a case whereby a person invested $13,000, part of the money, x, was placed in a stock that paid 9% annual interest the total annual income from both investments, I, as a function of x is I= [ 0.14X+12350 ]
How can the total annual income from both investmentsbe expressed?The Amount that was invested =$13,000
Then the Profitable Investment which was givden as 9% can be expressed as = [ X(1.09) ]
Then from the question we can see the Negative Investment, which is -5% and can be expressed as = [ (13,000-X)(1-0.05) ]
The we can sum up as
I= [ X(1.09) ]+ [ (13000-X)(0.95) ]
This can be simplified as
I= [ 1.09X-0.95X+12350 ]
I= [ 0.14X+12350 ]
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4. Compute the unadjusted cost of goods sold for the year. Do not include any underapplied or overapplied overhead in your answer.
5. Assume that the $70,000 ending balance in Work in Process includes $24,000 of direct materials. Given this assumption, supply the information missing below:
The unadjusted cost of goods sold for the year is calculated by subtracting the ending inventory from the sum of beginning inventory and purchases. The formula is as follows:
Unadjusted Cost of Goods Sold = Beginning Inventory + Purchases - Ending Inventory
Without knowing the values for beginning inventory, purchases, and ending inventory, we cannot compute the unadjusted cost of goods sold for the year.
5. Given that the $70,000 ending balance in Work in Process includes $24,000 of direct materials, we can calculate the missing information as follows:
Direct Labor = Total Work in Process - Direct Materials - Overhead
Direct Labor = $70,000 - $24,000 - Overhead
Without knowing the value for overhead, we cannot compute the direct labor cost. However, we can rearrange the formula to solve for overhead:
Overhead = Total Work in Process - Direct Materials - Direct Labor
Overhead = $70,000 - $24,000 - Direct Labor
Without knowing the value for direct labor, we cannot compute the overhead cost.
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The graph shows a line and two similar triangles.
On a coordinate plane, a line goes through (0, 0) and (6, 4). A small triangle has a rise of 2 and run of 3. A larger triangle has a rise of 4 and run of 6.
Which expression finds the equation of the line?
A. y/x=3/2
B. y/x=2/3
C. y/2=3/x
D. y/3=x/2
As a result, option B is the equation that finds the equation of the line: y/x = 2/3.
What is equation?An equation is a mathematical statement that indicates that two expressions are equal. It is a statement of equality that contains one or more variables, which are usually represented by letters. An equation consists of two sides separated by an equal sign (=). The left-hand side (LHS) and the right-hand side (RHS) of the equation may contain different expressions, which may include numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.
Here,
To find the equation of the line that passes through the points (0,0) and (6,4), we can use the slope-intercept form of the equation of a line, which is y = mx + b, where m is the slope of the line and b is the y-intercept.
The slope of a line is given by the rise over run, or the change in y divided by the change in x, between any two points on the line.
We can use the coordinates (0,0) and (6,4) to find the slope of the line:
slope = (change in y) / (change in x)
= (4 - 0) / (6 - 0)
= 4/6
= 2/3
Therefore, the slope of the line is 2/3.
To find the equation of the line, we can use the point-slope form of the equation of a line, which is:
y - y1 = m(x - x1)
where (x1, y1) is any point on the line. We can use the point (0,0), so the equation becomes:
y - 0 = (2/3)(x - 0)
Simplifying, we get:
y = (2/3)x
Therefore, the expression that finds the equation of the line is option B: y/x = 2/3.
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Embassy Motorcycles (EM) manufacturers two lightweight motorcycles designed for easy handling and safety. The EZ-Rider model has a new engine and a low profile that make it easy to balance. The Lady-Sport model is slightly larger, uses a more traditional engine, and is specifically designed to appeal to women riders. Embassy produces the engines for both models at its Des Moines, Iowa, plant. Each EZ-Rider engine requires 6 hours of manufacturing time and each Lady-Sport engine requires 3 hours of manufacturing time. The Des Moines plant has 2100 hours of engine manufacturing time available for the next production period. Embassy's motorcycle frame supplier can supply as many EZ-Rider frames as needed. However, the Lady-Sport frame is more complex and the supplier can only provide up to 280 Lady-Sport frames for the next production period. Final assembly and testing requires 2 hours for each EZ-Rider model and 2.5 hours for each Lady-Sport model. A maximum of 1000 hours of assembly and testing time are available for the next production period. The company's accounting department projects a profit contribution of $2400 for each EZ-Rider produced and $1800 for each Lady-Sport produced. a) Formulate a linear programming model that can be used to determine the number of units of each model that should be produced in order to maximize the total contribution to profit. c)Which constraints are binding? Use Excel and include the relevant Solver Answer Report with answers. I need help on putting this in Excel.
The linear programming model that can be used to determine the number of units of each model in order to maximize the profit is x2 <= 280 (Lady-Sport Frames), 2 x1 + 2.5 x2 <= 1000 (Assembly & Test).
What is linear programming model?When a linear function is exposed to various constraints, it is maximised or reduced using the mathematical modelling technique known as linear programming. In commercial planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.
A linear programming problem can be solved by determining the best value.
a)Let x1 be number of EZ-Riders produced.
Let x2 be number of Lady-Sports produced.
The Objective is to maximize the profit contribution:
Max 2,400 x1 + 1,800 x 2
The Constraints are: Engine Manufacturing Time <= 2100 hours
Lady-Sport Frames <= 280 frames
Assembly & Test <= 1000 hours
6 x1 + 3 x2 <= 2100 (Engine Manufacturing)
x2 <= 280 (Lady-Sport Frames)
2 x1 + 2.5 x2 <= 1000 (Assembly & Test)
We also need bounds x1 and x2 => 0.
So the full model is:
Max 2,400 x1 + 1,800 x2
Subject to 6 x1 + 3 x2 <= 2100 (Engine Manufacturing)
x2 <= 280 (Lady-Sport Frames)
2 x1 + 2.5 x2 <= 1000 (Assembly & Test)
x1 => 0, x2 => 0
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A study in a journal found that 8% of children younger than age 18 in a country have at least one food allergy. Among those with food allergies, about 38% had a history of severe reaction. (Enter your answers to four decimal places.) (a) If a child younger than 18 is randomly selected, what is the probability that he or she has at least one food allergy and has a history of severe reaction? (b) It was also reported that 31 % of those with an allergy are allergic to multiple foods. If a child younger than 18 is randomly selected, what is the probabilty that he or she is allergic to multiple foods?
0.0248 is the probabilty that he or she is allergic to multiple foods .
What is probability and its formula?
The probability serves as a gauge for the possibility that an event will occur. It quantifies the certainty of the event.
The probability equation is stated by the following notation: P(E) = Number of Favorable Outcomes/Number of Total Outcomes.
P(food allergy and history of severe reaction) = 0.08 x 0.38
= 0.0304
b) P(allergic to multiple foods) = 0.08 x 0.31
= 0.0248
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Jalesia has a set of train stickers. She measures the length of the stickers. Then she makes a line plot of the data
PLS HURRY
The total length of the stickers that are more than 2 inches long is 5 1/2 inches. The Option C is correct
How do we calculate the total length of the stickers that are more than 2 inches long?A length is the measurement or extent of something from end to end; the greater of two or the greatest of three dimensions of an object.
The calculation of the total length of the stickers that are more than long is as follows:
= 2 1/4 + 2 1/2 + 2 3/4 + 3
= 9/4 + 5/2 + 11/4 + 3
= 9 + 10+ 11 + 12 / 4
= 42/4
= 10 2/4 inches
= 5 1/2 inches
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Full question "Jalesia has a set of train stickers. She measures the length of the stickers. Then she makes a line plot of the data. h of Stickers In jalesia takes all the stickers that are more than long. She lays them end to end across her folder. What is the total length of the stickers that are more than long?"
Your itinerary contains a grid map of Washington D.C., with each unit on the grid representing 0.125
miles. If the White House is located at (−8,−6)
and the Pentagon is located at (−1,10)
, what is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two buildings in miles? Round your answer to two decimal places, if necessary.
2.183 miles is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two buildings.
What is distance?Distances between two things or places can sometimes be measured qualitatively and sometimes quantitatively. A physical length or an estimate based on other criteria might be referred to as distance in physics or everyday language. The entire movement of an item, independent of direction, is called distance. No matter where an item starts or ends, distance may be described as the amount of ground it has covered.
Given that,
If the White House is located at (−8,−6) and the Pentagon is located at (−1,10).
Then, distance = √(-8-(-1))² + (-6 -10)² × 0.125
= 2.183 miles
Thus, 2.183 miles is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two buildings.
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Based on the information in the passage, which will most likely happen?
O Joelle will return to her old school and play baseball.
O Joelle's brother will become a professional baseball player.
O Elizabeth and Joelle will remain friends despite the sport they play.
O Ms. Fenner will put pressure on Joelle to try out for the softball team.
Based on the information in the passage, we will most likely expect the following to happen:
C. Elizabeth and Joelle will remain friends despite the sport they play.
What is the passage about?The passage being referred to in this question is "Sliding into Home" by Dori Hillestad Butler. It tells the story of two girls named Elizabeth Shaw and Joelle Cunningham who chose different sports but remained determined to be friends despite this.
While Joelle enjoyed playing baseball, Elizabeth was better at Softball. Despite Elizabeth's encouragement for Joelle to play Softball, Joelle insisted on her favorite game but they remained friends regardless.
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The following table lists numbers in their standard and scientific notations. Fill in the missing values.
The first two have been completed for you as examples.
Standard Notation
I
Answer:
Hope the picture helps! <3
Step-by-step explanation:
Feb 17 A zoo feeds its monkeys a mixture of fruits and biscuits. The diagram shows the ratio of fruit n mass to biscuit mass. Ratios with tape diagrams The table shows the mass, in grams, of fruit and biscuits that the zoo fed two of the monkeys. Monkey A Fruit mass Based on the ratio, complete the missing values in the table. B Biscuit mass Fruit mass (g) Biscuit mass (g) 28 45
help fast
Answer:
Fruit mass = 63.2 g
Biscuit mass = 94.8 g
Step-by-step explanation:
Since the ratio of fruit mass to biscuit mass is 2:3, the fraction of fruit mass to the total of fruit and biscuit mass is 2/5 and the fraction of biscuit mass to the total of fruit and biscuit mass is 3/5.
For Monkey A, the total of fruit and biscuit mass is 73 g, which means that the fraction of fruit mass is 2/5 × 73 g = 29.2 g and the fraction of biscuit mass is 3/5 × 73 g = 43.8 g. Therefore, the values for fruit mass and biscuit mass are:
Fruit mass = 29.2 g
Biscuit mass = 43.8 g
For Monkey B, the total of fruit and biscuit mass is 73 + 85 = 158 g, which means that the fraction of fruit mass is 2/5 × 158 g = 63.2 g and the fraction of biscuit mass is 3/5 × 158 g = 94.8 g. Therefore, the values for fruit mass and biscuit mass are:
Fruit mass = 63.2 g
Biscuit mass = 94.8 g
A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the gpa of male students are µ = 3. 5 and σ = 0. 5. Suppose a random sample of 100 male students is selected and the gpa for each student is calculated. What is the probability that the random sample of 100 male students has a mean gpa greater than 3. 42?
The probability that the random sample of 100 male students has a mean gpa greater than 3. 42 is 0.9452.
What is Standard deviation?A statistic known as the standard deviation is used to describe how volatile or dispersed a group of numerical values is. While a big standard deviation denotes that the values are scattered across a wider range, a low standard deviation indicates that the values tend to be close to the set mean.
From the given information, a scores random sample of 100 male students is selected and the GPA for each student is calculated which follows approximately normal with a mean of 3.5 and standard deviation of 0.5. That is,
µ = 3. 5 and σ = 0. 5
and the random sample of 100 male students has a mean GPA 3.42 is considered.
The z-score value is,
Z=( 3.42-3.5)/ (0.5/√100)
Z= -0.08/0.05
Z=-1.6
The value of z-score is obtained by taking the difference of x and µ. Then the resulting value is divided with the standard deviation by sample size.
The probability that the random sample of 100 male students has a mean GPA greater than 3.42 is obtained below:
The required probability is,
P(X>3.42)=P(z>-1.6)
= 1- P(Z≤-1.6)
From the “standard normal table”, the area to the left of Z=-1.6 is 0.0548.
P(X>3.42)= 1- P(Z≤-1.6)
=1-0.0548
=0.9452
The probability that the random sample of 100 male students has a mean GPA greater than 3.42 is 0.9452.
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Determine if the statement is true or false. Construct an argument that can be used to defend your solution.
An exterior angle of a triangle will always be obtuse.
The statement "an exterior angle of a triangle will always be obtuse" is actually false.
Why it is?
An exterior angle of a triangle is formed by extending one of the sides of the triangle, and it is the angle between that extended side and the adjacent side of the triangle.
The measure of an exterior angle is equal to the sum of the measures of the two interior angles that are not adjacent to it.
Now, consider a triangle with interior angles of 70, 60, and 50 degrees. If we extend the side opposite the 70-degree angle, we get an exterior angle of 110 degrees. However, 110 degrees is not obtuse, since an angle is obtuse if and only if it is greater than 90 degrees. Therefore, we have shown that an exterior angle of a triangle does not always have to be obtuse.
In summary, the statement "an exterior angle of a triangle will always be obtuse" is false, and we have provided a counterexample to show why this is the case.
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Determine if the triangles are congruent. If they are, state how you know.
*
The triangles are congruent by ''ASA congruency theorem.''
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Two triangles PQT and PZX are shown in figure.
Now, By figure;
In both triangles PQT and PZX,
⇒ ∠ QTP = ∠ PXZ
⇒ PQ = PZ
⇒ ∠ QPT = ∠ XPZ (By definition of vertically opposite angle.)
Thus, By ASA congruency theorem both triangles are congruent.
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Solve this system of equations by substitution.
x + y = 4
2x - 3y = 3
Answer
Given the 2 equations
x = y + 4 → (1)
2x - 3y = - 2 → (2)
Substitute x = y + 4 into (2)
2(y + 4) - 3y = - 2 ← distribute and simplify left side
2y + 8 - 3y = - 2
- y + 8 = - 2 ( subtract 8 from both sides )
- y = - 10 ( multiply both sides by - 1 )
y = 10
Substitute y = 10 into (1) for corresponding value of x
x = 10 + 4 = 14
Solution is (14, 10 ) → D
Step-by-step explanation:
Answer:
x=3
x=3y=1
I hope this helps!
Step-by-step explanation:
x+y=4
2x-3y=3
y = 4-x
2x-3(4-x) = 3
2x-12+3x = 3
5x = 15
x = 3
y = 4-x
4-3 = 1
y = 1
Pls help !!!! will give 100 points and brainliest
a) xᵃ/xᵇ = xᵃ⁻ᵇ
b) xᵃ x xᵇ = xᵃ⁺ᵇ
c) x⁰ = 1
d) (xᵃ)ᵇ = xᵃˣᵇ
e) x⁻ᵃ = 1/xᵃ
indices are a method used in solving a variable in which the power or exponent of a number is raised to a number of variables
These questions are part of the basic theorems or rules of indices
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The winner of the 1998 Peoria 500 (mile) race was Serge Bologna, with an average rate
of 123.362 mi per hr. What was his time (to the nearest thousandth of an hour)?
Time is 4.053 hours (to the nearest thousandth of an hour).
What is average rate?
This refers to the change in speed over a selected period of time. It depends on when you take the measurements. •
Solving for average rate:
Average Rate = 123.362 mi per hr
Distance = 500 (mile)
Time =?
Average Rate = Distance
Time
123.362 mi per hr = 500 (mile)
Time
Making time subject of the formular we have:
Time = 500 (mile)
123.362 mi per hr
Time = 4.053 hrs
Time is 4.053 hours (to the nearest thousandth of an hour).
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the question is the image
y = 14/11 x is the required equation. Option Cis correct
Direct and indirect variationIf the variable y varies directly with x, this is expressed as:
y = kx
where
k is the constant of proportionality
Given that x = 11 and y = 14, hence;
k = y/x
k = 14/11
Substitute k into the original equation
y = kx
y = 14/11 x
Hence the required equation from the given information is y = 14/11 x
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4. Leo is taking an algebra test containing computation problems worth
5 points each and application problems worth 8 points each. Leo
needs to score at least 83 points on the test to maintain his B average.
Let c represent the number of computation problems he answers
correctly and a represent the number of application problems he
answers correctly. Write an inequality to represent the constraint.
The inequality that represents the constraint faced by Leo in needing to score at least 83 points is 5 c + 8 a ≥ 83.
How to find the inequality ?Let's first find the total number of computation and application problems that Leo needs to answer correctly to score at least 83 points on the test.
Let c be the number of computation problems that Leo answers correctly, and let a be the number of application problems that he answers correctly.
Total points is therefore :
= 5 c + 8 a
To maintain his B average, Leo needs to score at least 83 points on the test. Therefore, we can add the inequality part to make it:
5 c + 8 a ≥ 83
This shows that Leo needs to score either 83 points or above that in the test.
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Match the vocabulary term to its correct definition
To match the terms to their correct definitions, we have:
Kite - A quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent.Parallelogram - A quadrilateral with both pairs of opposite sides parallelRectangle - A parallelogram with four right angles.Trapezoid - A quadrilateral with exactly one pair of parallel sides. Rhombus - A parallelogram with four congruent sides and four right angles.What is a quadrilateral?A quadrilateral refers to a two-dimensional shape that has four sides, four vertices, and four angles.
There are different categories of quadrilaterals, such as trapezium, kite, parallelogram, rectangle, rhombus, and square.
The sides of a quadrilateral can be of different lengths and the angles can be of different measures.
Some types of quadrilaterals such as squares, rectangles, rhombus, etc. are special with some of their sides and angles being equal.
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Aiden is a spice trader. He sells any amount of cumin seeds from
1
11 kilogram to
1000
10001000 kilograms. He charges
$
5
$5dollar sign, 5 for
1
11 kilogram and
$
2000
$2000dollar sign, 2000 for
1000
10001000 kilograms.
�
(
�
)
p(w)p, left parenthesis, w, right parenthesis models the price (in dollars) of
�
ww kilograms of cumin seeds in Aiden's shop.
Which number type is more appropriate for the domain of
�
pp?
Choose 1 answer:
Choose 1 answer:
(Choice A) Integers
(Choice B) Real numbers
What's the appropriate domain?
Therefore , the solution of the given problem of domain comes out to be the appropriate domain for p(w) would be [1, 1000]
Explain a domain.The domain of a function is the range of possible arguments that it can accept. The cross of the an f-like functional is represented by these numbers (x). The range of potential values to which a function can be applied is known as its domain. The value that the procedure returns after inserting the x value is part of this set. An equation for a function is Y = f, where y and x are predictor variables (x). When a given value of x can produce a single value of y, a parameter is said to be in the scope of a function.
Here,
Given :
1 kilogram to 1000 kilograms.
He charges $5 for 1 kilogram and $2000 for 1000 kilograms.
So,
The appropriate domain for p(w) would be [1, 1000]
since
Aiden sells any amount of cumin seeds from 1 kilogram to 1000 kilograms.
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The complete question is "Aiden is a spice trader. He sells any amount of cumin seeds from 1 kilogram to 1000 kilograms. He charges $5 for 1 kilogram and $2000 for 1000 kilograms.
p(w) models the price (in dollars) of w kilograms of cumin seeds in Aiden's shop. What's the appropriate domain?"
Blooming Flower Company was started in Year 1 when it acquired $60,000 cash from the issue of common stock. The following data summarize the company’s first three years’ operating activities. Assume that all transactions were cash transactions.
The recording of the transactions in the Blooming Flower Company for the Year 1 . The amount of depreciation expense on its Year 1 Income Statement is $9,000.
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
The Data Analysis as follows;
Cash $60,000 Common Stock $60,000
Equipment $40,000 Cash $40,000
Cash $72,000 Sales Revenue $72,000
Salaries Expense $25,000 Cash $25,000
Depreciation Expense - $9,000
Accumulated Depreciation $9,000 means ($40,000 - $4,000)/4
Now we have
Transaction Balance Sheet Income Statement StatemenCashFlows
Assets = Liabilities + Equity
Revenue - Expense = Net Income
1. +$60,000 = $0 + $60,000 FA
2. +40,000 - 40,000 IA
3. +72,000 = $0 + 72,000 +$72,000 OA
4. -25,000 = $0 - 25,000 - 25,000 OA
5. -9,000 = $0 - 9,000 - 9,000 N/A
$98,000 = $0 $98,000 $72,000 - $34,000 = $38,000
Where FA = Financing activity
IA = Investing activity
OA = Operating activity
N/A = Not applicable
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A number multiplied -10, subtracted from the sum of seven and three times the number.
Convert into an expression and solve
Step-by-step explanation:
let the number be 'x'
x*-10+7=3x
-10x*7=3x
-3x=3x
let x be a random variable taking values [0, 1, 2, 3] with respective probabilities [0.2, 0.5, 0.2, 0.1] (a) determine the expectation of x. (show work)
A total of 23800 cubes can fit inside the box of the given dimensions.
What is the volume of cube?The volume of a cube is given by -
Volume = a x a x a = a³
Given is that a box has a length of 10 inches, a width of 8[tex]\frac{3}{4}[/tex] inches, and a height of 4[tex]\frac{1}{4}[/tex] inches.
The volume of the box would be -
V = 10 x 8[tex]\frac{3}{4}[/tex] x 4[tex]\frac{1}{4}[/tex]
V = 10 x 35/4 x 17/4
V = 371.875 inches³
The volume of cube -
v = 1/4 x 1/4 x 1/4
v = 0.015625 inches³
Number of cubes that will fill the box would be -
n = V/v
n = 371.875/0.015625
n = 23800
Therefore, a total of 23800 cubes can fit inside the box of the given dimensions.
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Write b as a linear combination of the other matrices, if possible. (if not, enter dne in all blanks.)
B = 1 1 , A1 = 1 0 , A2 = 0 1 , A3 = 1 -1
-3 1 0 1 1 0 1 1
1 1 = (_____) 1 0 + (_____) 0 1 + (_____) 1 -1
-3 1 0 1 1 0 1 1
So, we can express matrix B as a linear combination of matrices A1 and A2 as shown above.
How do mathematical matrices work?An arrangement of integers into rows and columns is called a rectangular matrix. Every single number in a matrix is referred to as a "matrix element" or "entry." The example matrix, designated as A, has two rows and three columns.
To express matrix B as a linear combination of matrices A1, A2, and A3, we need to find coefficients x, y, and z such that:
B = xA1 + yA2 + z*A3
Substituting the matrices B, A1, A2, and A3 into this equation, we get the following system of linear equations:
x + z = 1
x - y + z = 1
-3x + y + z = 0
x + y + z = 1
Solving this system of equations, we get:
x = 1/2
y = 1/2
z = 0
Therefore, we have:
B = (1/2)*A1 + (1/2)A2 + 0A3
Substituting the values of A1, A2, and A3, we get:
B = (1/2)[1 0] + (1/2)[0 1] + 0*[1 -1]
= [1/2 1/2]
So, we can express matrix B as a linear combination of matrices A1 and A2 as shown above.
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We can write B as a linear cοmbinatiοn οf A1, A2, and A3 as:
B = 2 A2 + A3
What is a linear cοmbinatiοn οf matrices?In linear algebra, a linear cοmbinatiοn οf matrices is a sum οf scalar multiples οf thοse matrices. That is, given matrices A1, A2, ..., An and scalars c1, c2, ..., cn, their linear cοmbinatiοn is defined as:
c1A1 + c2A2 + ... + cnAn
Tο write B as a linear cοmbinatiοn οf A1, A2, and A3, we need tο sοlve the system οf linear equatiοns:
x1 A1 + x2 A2 + x3 A3 = B
where x1, x2, and x3 are the cοefficients οf the linear cοmbinatiοn.
Rewriting the matrix equatiοn, we get:
x1 + x3 = 1
x1 - x3 = 1
-3x1 + x2 + x3 = -3
x2 + x3 = 1
Sοlving this system οf equatiοns, we get:
x1 = 0
x2 = 2
x3 = 1
Therefοre, we can write B as a linear cοmbinatiοn οf A1, A2, and A3 as:
B = 2 A2 + A3
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A moving company is able to move 50 boxes per hour. Write an equation
Answer:
Step-by-step explanation:
Let's assume that x is the number of boxes that the moving company moves in a certain amount of time (in hours). Then we can write the following equation to represent the relationship between the number of boxes moved and the time taken:
x = 50h
where h is the number of hours taken to move x number of boxes.
This equation means that the number of boxes moved, x, is equal to the product of 50 boxes per hour and the number of hours, h, taken to move those boxes.
For example, if the moving company moves 200 boxes, then we can find the time taken as:
200 = 50h
h = 200/50
h = 4
Therefore, the moving company takes 4 hours to move 200 boxes.
The next dividend payment by Hoffman, Inc., will be $2.55 per share. The dividends are anticipated to maintain a groeth rate of 6 percent forever. Assume the stock currently selld for $48.70 per share.
Answer:
The dividend yield is the dividend next year divided by the current price, so the dividend yield is:
Dividend yield = D1 / P0
Dividend yield = $2.55 / $48.70
Dividend yield = .0524, or 5.24%
The capital gains yield, or percentage increase in the stock price, is the same as the dividend growth rate, so:
Capital gains yield = 6%
Five Factors Effecting the
Economic
Environment
Financial State
Ecological Environment
Production Facilities
- Personal
expertise
growth of food service industry
Answer:
environment .. pollution
growth if of food.... wealthy too much rain or no rain