It is true that the pond will be filled up after 13 hours of pumping at the same rate of sump pump.
What is rate?A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.
Let the volume of the pond be x cubic unit
The rate of the pumping pipe is x/5 cubic unit/hour
The rate of the draining pipe = x/8cubic unit / hour.
after 13hours
The volume pumped into the pond =
x/5 × 8 = 13x/5 cubic unit
The volume of water drained =
x/8 × 13 = 13x/8 cubic unit.
Therefore the volume of water left =
13x /5 - 13x/8 = (104x - 65x)/40
= 39/40 of x
= 0.975 of x.
approximately to the nearest cubic units = 1 of x
Therefore it is true that the pond will be filled up after 13 minutes.
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How do you find the area of a hexagonal?
The Area of Hexagon can be calculated by using the formula [tex]\frac{3\sqrt{3}s^{2} }{2}[/tex] , where the length of side of the hexagon is "s" .
What is a Hexagon ?
A hexagon is defined as a two dimensional closed figure made up of 6 sides .
A Regular hexagon has : 6 equal sides and 6 equal angles and 6 vertices.
Sum of interior angles is equal to 720° ;
A regular hexagon is made by combination of 6 equilateral triangles.
So , formula to find area of Hexagon is given as : [tex]\frac{3\sqrt{3}s^{2} }{2}[/tex] , where "s" is side length of the hexagon .
Another formula to calculate the Area of hexagon is :
Area = [tex]\frac{1}{2}[/tex] × Apothem × (Perimeter of hexagon) .
The given question is incomplete , the complete question is
How do you find the area of a Hexagon ?
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10 points
Determine the solution to the inequality.
|2x − 6| ≥ 4
x ≤ 0 or x ≥ 6
x ≤ 1 or x ≥ 5
x ≤ −5 or x ≥ 5
x ≥ −5 or x ≤ 4
To solve this inequality, we need to split it into two cases based on the sign of 2x - 6.
If 2x - 6 is nonnegative, then the inequality becomes 2x - 6 >= 4, which simplifies to x >= 5.
If 2x - 6 is negative, then the inequality becomes -(2x - 6) >= 4, which simplifies to x <= 1.
Therefore, the solution to the inequality is x <= 1 or x >= 5, which is the same as the second answer choice x ≤ 1 or x ≥ 5.
The other answer choices are not valid solutions because they do not include all values of x that satisfy the inequality.
Which of the following methods is the best way to compare the lengths of two line segments?
A
Comparison by observation
B
Comparison by tracing, using a tracing paper
C
Comparison using a ruler and divider
D
None of these
The best method to compare the lengths of two line segments is by using a ruler and divider.
The most precise way to measure a line segment is by penetrating the two needles of a divider at its ends, then set it next to a ruler without moving the divider's arms once they have been fastened at the ends of the line segment.
A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places.
The difference between a line and a line segment is that a line has no endpoints and can go on forever in any direction.
Thus, The best method to compare the lengths of two line segments is by using a ruler and divider.
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1. What is the volume of this object? 3 ft 7 ft 5 ft 5 ft 2 ft 7 ft
Answer:175ft cube is the volume of the figure.
Step-by-step explanation:The volume of lower part is,
V=L*B*H
V=5*7*2
V=70ft cube
Volume of upper grade part is,
V2=L*B*H
V2=3*5*7
V2=105ft cube
Therefore total volume=V+V2
=175 ft cube
q5 ANSWER FOR 30 POINTS
Jack's maximum and minimum time to fold his laundry is |x - 30| = 10: option is D.
How to illustrate the equation?Remember that the statement says Jack's time can vary from the average of 30 minutes by 10 minutes. By implication it means that the maximum and minimum time will be 30 minutes plus or minus 10 minutes, or 40 minutes and 20 minutes, respectively. We can represent these values using the variable x.
The maximum time will be represented by x + 10 and the minimum time will be represented by x - 10. We can use the absolute value function to represent the difference between these two values and the average time of 30 minutes.
The absolute value function is represented as |x|. The absolute value of x is the distance between x and 0 on a number line. For example, the absolute value of -5 is 5, because the distance between -5 and 0 on a number line is 5 units.
Using the absolute value function, we can represent the difference between the maximum and minimum times and the average time of 30 minutes as follows:
|x + 10 - 30| = |x - 30| = 10
|x - 20| = 10
|x - 30| = 10
Therefore, the correct equation is |x - 30| = 10.
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Calculate the pay for the following day of a
weekly time card given a wage of $14/hr.
Name
Week of:
Morning
Afternoon
In
Out
In
Out
Monday | 08:00
12:15
13:00
17:15
pay = $[?]
Round your answer to the nearest hundredth.
Answer: $119.00
Step-by-step explanation:
To calculate the pay for the day, we need to determine the number of hours worked in the morning and the number of hours worked in the afternoon.
The morning shift starts at 8:00 AM and ends at 12:15 PM, which is a total of 12:15 - 8:00 = 4 hours and 15 minutes. The afternoon shift starts at 1:00 PM and ends at 5:15 PM, which is a total of 5:15 - 1:00 = 4 hours and 15 minutes.
Since there are 60 minutes in an hour, the total number of hours worked in the morning is 4 hours + 15 minutes / 60 minutes = 4.25 hours. The total number of hours worked in the afternoon is also 4.25 hours.
The total number of hours worked on the day is 4.25 + 4.25 = 8.5 hours.
To find the pay for the day, we need to multiply the number of hours worked by the wage rate:
Pay = 8.5 hours * $14/hour = $119
Rounding this number to the nearest hundredth gives us $119.00.
can someone help me please with the ixl problem ???
If x < 0 and y < 0, where is the point (x, y) located?
Answer: Quadrant III
Step-by-step explanation:
If both numbers are less than 0, both are negative. If both numbers are negative, this point will be in the bottom left-hand quadrant, known as Quadrant III.
I have attached an image from Cuemath that gives a good visual of the four quadrants.
The graph below shows the amount of money that Scott has to pay for extra labor for someone to help him work on his property. He hired his nephew to work after school and on weekends.
Scott’s Funds for Extra Labor
Money Available (dollars)
Time Worked (hours)
Which statement correctly describes the graph?
Responses
A Scott pays his nephew $15 per hour, and he initially had $900 for extra labor.Scott pays his nephew $15 per hour, and he initially had $900 for extra labor.
B Scott pays his nephew $10 per half-hour, and he initially had $900 for extra labor.Scott pays his nephew $10 per half-hour, and he initially had $900 for extra labor.
C Scott pays his nephew $10 per hour, and he initially had $900 for extra labor. Scott pays his nephew $10 per hour, and he initially had $900 for extra labor.
D Scott pays his nephew $20 per hour, and he initially had $900 for extra labor.
The statement that describes the graph is (c) Scott pays his nephew $10 per hour, and he initially had $900 for extra labor.
How to determine the statement that describes the graphFrom the question, we have the following parameters that can be used in our computation:
The graph (added as an attachment)
The equation is a linear equation and a linear equation is represented as
y = mx + c
Where
m = slope of the linec = y-intercept of the line.From the graph, the two points are (0, 900) and (800, 10).
So, we start by calculating the slope using
slope = (y₂ - y₁)/(x₂ - x₁)
Substitute the known values in the above equation, so, we have the following representation
m = (900 - 800) / (0 - 10)
m = - 100 / 10
Evaluate
m = -10
So, we have
y = -10x + c
Substitute (0, 900) in y = -10x + c
900 = -10 x 0 + c
So, we have
c = 900
Then the equation becomes
y = - 10x + 900
This means that Scott pays his nephew $10 per hour, and he initially had $900 for extra labour.
Hence, the correct option is C.
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Write the equation of a line that passes through (5,-3) and (7,-5)
The equation of a line that passes through (5,-3) and (7,-5) is x + y -2 = 0
What is the equation of a straight line?The equation of a line in the coordinate plane can be expressed in two point form. Depending on the facts at hand, there are different ways to find a line's equation. One of the ways is the two-point form. When two locations along a line are known, this is used to determine the equation of the line.
One of the significant forms used to express a straight line algebraically is the two point form. Each point on the line fulfils the equation for the line, which means that the equation for the line represents every single point on the line.
The two-point form of a line passing through these two points is
(y - y₁) = [(y₂ - y₁)/(x₂ - x₁)] * (x - x₁)
The equation of a line that passes through (5,-3) and (7,-5) is
(y + 3) = [(-5 + 3)/(7 - 5)] * (x - 5)
⇒ (y + 3) = (-2/2)* (x - 5)
⇒ (y + 3) = (-1)* (x - 5)
⇒ (y + 3) = (-x + 5)
⇒ y + 3 + x - 5 = 0
⇒ x + y - 2 = 0
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What parts of a circumcenter are congruent?
The circumcenter is the point of intersection of three perpendicular bisectors of the sides of a triangle. All three of the perpendicular bisectors are congruent, and the circumcenter itself is congruent to itself.
The circumcenter of a triangle is the point of intersection of all three perpendicular bisectors of the sides of the triangle. It is the center of the circumcircle which is the circle that passes through all three vertices of the triangle. The perpendicular bisectors of the sides of the triangle are all congruent, meaning that they are all the same length and have the same angle of inclination. Additionally, the circumcenter itself is congruent to itself, meaning that it has the same location and coordinates. This is because it is the point of intersection of all three perpendicular bisectors, which all have the same coordinates. The circumcenter is an important concept in geometry and trigonometry as it is the center of the circumcircle and provides insight into the properties of the triangle.
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The parts of circumcenter that are congruent are all the three perpendicular bisectors and the circumcenter itself .
What is Circumcenter ?
The Circumcenter of a triangle is defined as the point of intersection of all the three perpendicular bisectors of the side . It is the center of circumcircle which is the circle that passes through the vertices of the triangle.
the parts of circumcenter that are congruent are :
(i) The Perpendicular bisectors of sides of triangle are all congruent, which means they are of the same length and have the same angle of inclination .
(ii) The Circumcenter of the circle is congruent to itself, because it has the same location and coordinates because it is point of intersection of all three perpendicular bisectors, all of which have the same coordinates .
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katie made a bag of trail mix with 1/2 cup of raisins , 3/5 cup of banana chips , and 3/8 cup of peanuts . About how much trail mix did Katie make ?
Answer:
1 [tex]\frac{19}{40}[/tex]
Step-by-step explanation:
Rewire with 40 as the common denominator
[tex]\frac{20}{40}[/tex] + [tex]\frac{24}{40}[/tex] + [tex]\frac{15}{40}[/tex] = [tex]\frac{59}{40}[/tex]
This can be rewritten
[tex]\frac{40}{40}[/tex] + [tex]\frac{19}{40}[/tex] another name for [tex]\frac{40}{40}[/tex] = 1
1[tex]\frac{19}{40}[/tex]
Let f be a function such that lim h->0 ( f(2+h)-f(2) / h ) = 5. Which of the following are true?I) f is continuous at x=2II) f is differentiable at x=2III) The derivative of f is coninuous at x=2
I) and II) are true because the limit of the function at x=2 is 5, which implies that f is continuous and differentiable at x=2. III) is false because the derivative of f does not need to be continuous at x=2.
Let f be a function such that lim h→0 (f(2+h) - f(2)) / h = 5.
We can calculate this limit as follows:
lim h→0 (f(2+h) - f(2)) / h = lim h→0 (f(2+h) / h) - (f(2) / h)
= lim h→0 f(2+h) / h - lim h→0 f(2) / h
= lim h→0 f(2+h) / h - 0
= lim h→0 f(2+h) / h
= 5
Therefore, I) and II) are true because the limit of the function at x=2 is 5, which implies that f is continuous and differentiable at x=2. III) is false because the derivative of f does not need to be continuous at x=2.
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Please answer quick and correct i will give you brainliest
The value of investment after 2 years is found to be $43.
Define the term equation of the line?The formula for a straight line reads y=mx+c where c is the elevation from which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.Thus,
Two points taken from graph are-
(x1 , y1) = (0,25)
(x2, y2) = (1, 25.75)
slope m = (25.75 - 25) / (1 - 0)
m = 0.75
Equation of line,
y - y1 = m(x - x1)
y - 25 = 0.75(x - 0)
y - 25 = 0.75x
y = 0.75x + 25 ...eq 1
Thus, the price after 2 years or 24 months,
Put x = 24 in eq 1
y = 0.75*24 + 25
y = 43
Thus, the value of the investment after 2 years is found to be $43.
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Which natural disaster occurs over an extended period of time?
O Tornado
O Volcanic eruption
O Drought
O Landslide
Drought is a natural disaster that occurs over an extended period of time. It is a condition in which there is a lack of sufficient water for a long period of time, usually due to a lack of rain or other natural sources of water. This can lead to a variety of problems, such as crop failure, dehydration, and other negative effects on the environment and economy. It is important to be prepared for droughts and to take steps to conserve water during these times.
what numbers will you add to get 214,907,000
Answer:
I don't really understand this question. But i hope it helps.
Step-by-step explanation:
214,000,000
+ 907,000
Answer:
Answer Below
Step-by-step explanation:
Let us take the variables as x,x+1
x+x+1 = 214907000
2x+1 = 214907000
2x = 214906999
x = [tex]\frac{214906999}{2}[/tex]
x = 107453499.5
1st number = x = 107453499.5
2nd number = x + 1 = 107453499.5 + 1 =107453500.5
Hence , the number that need to be added to get 214,907,000 are 107453499.5 and 107453500.5
A rental car company charges $53.75 per day to rent a car and $0.12 for every mile driven. Jaya wants to rent a car, knowing that:She plans to drive 125 miles.She has at most $230 to spend.
The number of days for which Jaya can rent the car as calculated from the given data is 4 days.
Jaya is planning to drive 125 miles, replacing y's value and solving for x we get,
53.75x+0.12(125)≤230
53.75x+15≤230
53.75x≤230-15
53.75x≤215
x≤215/53.75
x≤4
Therefore , as calculated Jaya can rent the car for 4 days.
Inequality is a mathematical statement that uses the symbol of inequality to indicate the relationship between any two given expressions. Both sides of an inequality sign have different expressions.
It signifies that the expression on the left should be more or smaller than the expression on the right and the reverse is also true. Literal inequalities occur when the relationship between two algebraic expressions is defined using inequality symbols.
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Use synthetic division and the factor theorem to determine whether x - 4 is a factor of f(x).
f(x) = 4x3 - 21x2 + 26x - 24
Complete the first row of the synthetic division table.
The expression x - 4 is a factor of the polynomial f(x) = 4x³ - 21x² + 26x - 24 as f(4) = 0. And (x - 4)(4x² - 5x + 6) is the product of two factors for f(x).
The factor theorem in polynomialThe factor theorem states that: if f(x) is divisible by x - a if and only if f(a)=0.
We shall evaluate f(4) to know if x - 4 is a factor of the polynomial f(x) as follows;
f(4) = 4(4)³ - 21(4)² +26(4) - 24
f(4) = 256 - 336 + 104 - 24
f(4) = 360 - 360
f(4) = 0
The first row of the synthetic division is derived as follows:
4x³ divided by x equals 4x²
x - 4 multiplied by 4x² equals 4x³ - 16x²
subtract 4x³ - 16x² from 4x³ - 21x² + 26x - 24 will result to -5x² + 26x - 24
Thus x - 4 is a factor and we will divide the polynomial expression 4x³ - 21x² + 26x - 24 exactly to get the quotient 4x² - 5x + 6.
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You install solar panels for a solar energy company and earn an annual gross pay of $48,840. You are married with 3 dependents. How much is withheld from your monthly paycheck for state income tax?
The monthly paycheck for state income tax is $1,356.67
How determine how much is withheld from the monthly paycheck for state income tax?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
Given:
Annual Gross pay = $48,840
He is married with 3 dependents.
So, every month he earns:
monthly earnings = $48,840/12
= $4,070
Also, he has 3 dependents
= $4,070/3
= $1,356.67
Thus, his monthly paycheck for state income tax is $1,356.67
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You travel 2640 feet in thirty seconds while in a 65 mi/h zone. (There are 5280 ft in one mi). Your average speed is:
If you travel 2640 feet in 30 seconds in a 65 mi/h zone then the average speed is (b) less than speed limit .
The Distance travelled in 30 seconds is = 2640 feet ,
Average Speed can be calculated by formula; Speed = Distance / Time ,
So , the speed of the person in feet per second will be = 2640/30 ft/sec .
we know the conversion rate that 1 mile = 5280 feet and 1 hr = 3600 sec ,
So , On converting the speed to mi/hr ,
it can be written as = (2640 × 3600)/(5280 × 30)
= 60 mi/hr .
The Speed Limit is given as 65 mi/hr .
On comparing we get the average speed of the person is less than the speed limit .
Therefore , The Average Speed is Less than the Limit .
The given question is incomplete , the complete question is
You travel 2640 feet in thirty seconds while in a 65 mi/h zone. (There are 5280 ft in one mi). Your average speed is:
(a) exactly the speed limit.
(b) less than the speed limit.
(c) larger than the speed limit.
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Your average speed is 98.667 miles per hour, which is calculated by taking the distance traveled (2640 feet) and dividing it by the time taken (thirty seconds) multiplied by the speed limit (65 mi/h). This is based on the fact that there are 5280 feet in one mile.
Step 1: Convert 2640 feet to miles.
1 mile = 5280 feet
2640 feet / 5280 feet = 0.5 miles
Step 2: Calculate speed.
Speed = Distance / Time
Speed = 0.5 miles / (30 seconds/60 seconds)
Speed = 0.5 miles / 0.5 minutes
Speed = 1 mile / 0.5 minutes
Speed = 2 miles/minute
Speed = 2 miles/minute * 60 minutes/hour
Speed = 120 miles/hour
Speed = 120 miles/hour * 65 mi/h
Speed = 78 miles/hour
Speed = 98.667 miles/hour
The average speed is calculated by dividing the distance traveled (2640 feet) by the time taken (thirty seconds) and then multiplying it by the speed limit (65 mi/h). This is based on the fact that there are 5280 feet in one mile. First, the distance (2640 feet) was converted to miles (0.5 miles). Then, the speed (0.5 miles/30 seconds) was calculated, which was then multiplied by the speed limit (65 mi/h) to get the final result of 98.667 miles/hour.
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Dry concrete can be made by mixing sand gravel and cement. The ratio of 1:2:4 if you want 14,000 kg of dry concrete how much would you need?
Step-by-step explanation:
Add up 1,2,4 which is 7. Then do 14,000/7 which gives you 2,000kg. Then multiply the 2,000kg with each number in the ratio. It can be tricky to grasp this method at first, but believe me when I say that after practice it becomes almost second nature.
Answer:
2,000kg X 1 = 2,000kg
2,000kg X 2 = 4,000kg
2,000kg X 4 = 8,000kg
2,000kg X 1 = 2,000kg
2,000kg X 2 = 4,000kg
2,000kg X 4 = 8,000kg
Suppose your friends parents invest 25,000 in an account paying 5% compounded annually. What will the balance be after 10 years?
On solving the provided question, we can say that - the interest ant the end of the time will be 4500
what is interest ?Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.
here,
P = 100000
R = 4.5
T = 1
SI = PRT/100
SI = 100000 X 4.5 X 1/100 = 4500
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Find the value of x in the equation 3x + 1 = x + 9
Answer:
x=4
Step-by-step explanation:
To find the value of x in equation 3x + 1 = x + 9, we need to solve for x.
First, we can subtract x from both sides of the equation: 3x + 1 - x = x + 9 - x
This simplifies to: 2x + 1 = 9
Next, we can subtract 1 from both sides of the equation: 2x + 1 - 1 = 9 - 1
This simplifies to 2x = 8
Finally, we can divide both sides of the equation by 2: 2x / 2 = 8 / 2
This simplifies to: x = 4
So the value of x in equation 3x + 1 = x + 9 is 4.
damien paints 1/5 of a room in 5/12-hour what unit rate describes the situation
please explain step by step, thanks
The unit rate of the situation is 12/25 per hour
How to determine the unit rate of the situationFrom the question, we have the following parameters that can be used in our computation:
Size of the room painted = 1/5 of a room
Time spent painting the room = 5/12-hour
The unit rate of the scenario is then calculated using the following unit rate equation
Unit rate = Size of the room painted/Time spent painting the room
Substitute the known values in the above equation, so, we have the following representation
Unit rate = (1/5)/(5/12)
Evaluate the quotient
So, we have the following representation
Unit rate = 12/25
Hence, the unit rate is 12/25 per hour
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A(3,1) B(3,4) C(-4,1) D(-4,5)
slope of (line AB):
slope of (line CD):
Types of line: Parallel or Perpendicular lines
Using the points A(3,1) B(3,4) C(-4,1) D(-4,5) the following deductions are made
slope of (line AB): undefined
slope of (line CD) undefined
type of line parallel lines
How to identify the slope of the linesThe slope, m of the linear function is calculated using the points A(3,1) and B(3,4)
m = (y₀ - y₁) / (x₀ - x₁)
m = (1 - 4) / (3 - 3)
m = (-3) / (0)
m = undefined
The slope, m of the linear function is calculated using the points C(-4,1) and D(-4,5)
m = (y₀ - y₁) / (x₀ - x₁)
m = (1 - 5) / (-4 - (-4))
m = (-4) / (0)
m = undefined
The slope ae equal and undefined hence they are vertical parallel lines
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(144-4)×(12÷4)+3=???
423
To solve the above equation follow the BODMAS rule
That is,
Brackets of Division Multiplication Addition Subtraction
BODMAS rule states that mathematical expressions with multiple operations need to be solved from left to right in the order of BODMAS.
so,
first, calculate the value in the brackets
(144-4)*(12/4)+3 = (140)*(12/4)+3
=140*(3)+3
According to the rule, a division operation is to be performed but there is no division operation in the equation we skip this step and proceed to the next operation
so, multiply 140*3
=420+3
the next operation is the addition
=423
the next operation according to the rule is subtraction which is not required to be performed in the equation.
therefore,
(144-4)*(12/4)+3 = 423
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A company can choose to package 12 cans into 3rows of 4 or in rows 6 rows of 2 which packaging uses more material? Why would a company choose to package 12 cans one way instead of another
The packaging that will use more material would be the 6 rows in 2.
What is packaging?Packaging is a method used by companies to present a finished product to the population in such a way that their products can be easily accessed.
The first choice of packaging= 3 rows in 4 which means that it's only three packages that would be used.
The second choice of packaging = 6 rows in 2 which means that it's up to six packages that would be used.
Therefore, it would be better for the company to chose the 3 rows in 4 which is the first choice as it will save up materials for them.
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A house on the market was valued at $378,000. After several years, the value decreased by 19%. By how much did the house’s value decrease in dollars? What is the current value of the house?
well, what's 19% of 378000?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{19\% of 378000}}{\left( \cfrac{19}{100} \right)378000}\implies 71820~\hfill \underset{current~value}{\stackrel{378000-71820}{\text{\LARGE 306,180}}}[/tex]
Write an equation in the form y=mx+b. Then solve each problem.
1. A contractor's crew can frame 3 houses in week. how long will it take them to frame54 houses if they frame the same number each week?
2. A water tank holds 18,000 gallons. How long will it take for the water level to reach 6000 gallons if the water is used at an average rate of 450 gallons per day?
Answer:
1) y = 3x + 0
54 houses = 3 houses/week * x weeks
x = 18 weeks
2) y = -450x + 18000
6000 gallons = -450 gallons/day * x days + 18000
x = 10 days
μ is an example of a:
O sample statistic
O population parameter
O population variance
O mode
O none of the above answers is correct
μ is a population parameter, it represents the mean of a population.
In statistics, μ (also denoted as "mu") is a symbol commonly used to represent the population mean. The population mean is a measure of central tendency that describes the average value of a given set of data, calculated by summing all the values in a population and dividing by the total number of observations in that population. Therefore, μ is a population parameter, as it describes a characteristic of the entire population, not just a sample of it. It is important to note that when working with samples, we use mean of samples which is denoted as (x-bar) instead of μ.
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Complete the statement to explain how the lengths of the sides of the arrays shown on the grid are related. Enter your answer in the box.
Four arrays are shaded on a grid: an array with side lengths of 1 and 8, an array with side lengths of 4 and 2, an array with side lengths of 2 and 4, and an array with side lengths of 8 and 1.
The lengths of the sides of each array are factors of
.
