The problem "125×64" in expanded-form is written as (100 × 60) + (100 × 4) + (20 × 60) + (20 × 4) + (5 × 60) + (5 × 4).
In mathematics, the "Expanded-Form" is defined a way of representing a number as a sum of its constituent parts, usually using place value notation.
It involves expressing a number as the sum of its individual-digits or place value components, such as units, tens, hundreds, thousands, etc., multiplied by their respective place value powers of 10.
We have to write the product "125 × 64" in the expanded form,
So, the product "125 × 64" in expanded form can be written as :
⇒ 125 × 64 = (100 + 20 + 5) × (60 + 4),
⇒ (100 × 60) + (100 × 4) + (20 × 60) + (20 × 4) + (5 × 60) + (5 × 4),
Therefore, the expanded form of 125 × 64 is: (100 × 60) + (100 × 4) + (20 × 60) + (20 × 4) + (5 × 60) + (5 × 4).
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Two students, Ariana and Arun, line up one behind the other. How many different ways can they stand in line?
Answer:
2 ways
Step-by-step explanation:
Two students, Ariana and Arun, line up one behind the other. How many different ways can they stand in line?
2 ways Ariana in front and Arun in back or Arun in front and Ariana in back, doesn't seem like a school assignment
In the expression 30+40+70, Jillian added 30 and 40 and then 70, while Samuel added 30 and 70 and then 40. Who is correct? Explain your reasoning
As per the mathematical operation both Jillian and Samuel are correct.
Given expression = 30+40+70,
The methodology by Jillian = added 30 and 40 and then 70
The methodology by Samuel = added 30 and 70 and then 40.
Determining the result of the given equation:
30 + 40 + 70
= 140
Reviewing the operations of both Jillian and Samuel
Jillian
He added 30 and 40 and then 70:
30 + 40 = 70
70 + 70 = 140
Samuel
He added 30 and 70 and then 40
30 + 70 = 100
100 + 40 = 140
The result of both mathematical operations is 140. Thus, it can be stated that both are correct.
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Asap!! step by step pls! After a new firm starts in business, it finds that it’s rate of profit (in hundreds of dollars) after t years of operations is given by P’(t)=3t^2+10t+6. Find the profit in year 4 of the operation.
Answer:
$ 7800
Step-by-step explanation:
P'(t) = 3t² + 10t + 6
\(P(t) = \int\limits^a_b {P'(t)} \, dt\)
For the 4th year, the limits are [3,4]
\(P(t) = \int\limits^4_3 {3t^2 + 10t + 6} \, dt\\\\= [\frac{3t^3}{3} + \frac{10t^2}{2} + 6t]^{^4}__{3}\\\\\)
\(=[\frac{3(4)^3}{3} + \frac{10(4)^2}{2} + 6(4)]-[\frac{3(3)^3}{3} + \frac{10(3)^2}{2} + 6(3)]\\\\=[\frac{3(64)}{3} + \frac{10(16)}{2} + 24]-[\frac{3(27)}{3} + \frac{10(9)}{2} + 18]\\\\= [64 + 5(16) + 24]-[27+5(9) + 18]\\\\= 168-90\\\\= 78\)
= $ 7800
simplify 8a⁵b⁸c³/2ab³c⁵
Answer: 4a^4b^5/ c^2
Step-by-step explanation:
8a⁵b⁸c³/2ab³c⁵
When dividing powers, they subtract
8/2 = 4
a⁵-a = a^4
b^8 - b^3 = b^5
c^3 - c^5 = c^-2
If a power is negative, they are moved to the denominator and the negative is dropped
= 4a^4b^5/ c^2
A bag contains only red, green, brown and yellow marbles.
The probabilities of selecting each colour are shown below.
The probability of choosing a red marble is the same as choosing a yellow marble.
Colour Red Green Brown Yellow
Probability 0.2 0.58
Find the probability of selecting a brown or yellow marble.
I think I know but I dont think it's going to be the right answer. But good luck anyway!
In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. in the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. which expression represents the total number of points the player scored in the game? 2x 3x 9 2x 3 9 2x 3x 9x 2 3x 9
The expression represents the total number of points the player scored in the game: 2x+ 3x + 9
The correct option is A.
What is mathematical expression?A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-dependent principles.
When something is expressed, the methods of expression change it in the process of communication. extracted from the Cambridge English Corpus. There were two conceivable orthographic expressions for this awareness.
According to the given information:Let x=number of 2-point attempts.
Free throws made equal 9 points.
A point is scored when x 2-point attempts are made.
After the break,
Number of 3-pointers divided by first-half 2-point attempts equals x
Point scored in x 3-point attempts equals 3 times.
Consequently, the player's overall point total during the contest is provided by : 2x+ 3x + 9
Consequently, the formula that denotes the total amount of points each player scored during the game is as follows: 2x+ 3x + 9
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I understand that the question you are looking for is:
In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?
A. 2x + 3x + 9
B. 2x + 3 + 9
C. 2x + 3x + 9x
D. 2 + 3x + 9
The entries in the index of the National Codes are listed under one main term. True or False?
it helps to organize and categorize large amounts of information, making it more accessible and manageable. This organizational structure helps users to locate specific codes and information efficiently. indexing system True.
The National Codes index lists entries under one main term, which is usually a broad topic or subject area. Under each main term, there may be several subentries that provide more specific details or categories related to the main term. This type of indexing system allows users to quickly and easily find information related to a specific topic, without having to search through an entire document or database. Additionally, it helps to organize and categorize large amounts of information, making it more accessible and manageable.
In the index of the National Codes, entries are listed under one main term to ensure easy navigation and understanding of the content. This organizational structure helps users to locate specific codes and information efficiently.
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Solve the given differential equation by finding an appropriate integrating factor. y(8x+y+8)dx+(8x+2y)dy=0
The given differential equation is y(8x + y + 8)dx + (8x + 2y)dy = 0.
To solve this equation, we can use the integrating factor method. First, we identify the coefficients of dx and dy, which are y(8x + y + 8) and (8x + 2y), respectively. Then, we compare the equation with the standard form of a first-order linear differential equation, which is M(x, y)dx + N(x, y)dy = 0.
In our equation, M(x, y) = y(8x + y + 8) and N(x, y) = (8x + 2y). We can see that the coefficient of dy is not a function of x only, so we need to find an integrating factor.
The integrating factor (IF) can be found by multiplying both sides of the equation by the appropriate function. In this case, the integrating factor is \(e^{(f(N - M)/N dx).\)
By substituting the given values of M(x, y) and N(x, y) into the formula for the integrating factor, we can calculate the integrating factor and proceed with solving the differential equation.
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Could someone do this real quick
Answer: x= 5/7 or x= 0.714285
Step-by-step explanation:
The recipe for wedding punch calls for 6 quarts of lemonade, 5 pints of orange sherbet, and 7 pints of vanilla ice cream. To these ingredients, Jasmine will add enough ginger ale to fill the 4-gallon punch bowl. How much ginger ale does Jasmine need to make one bowl of punch? Responses 9 quarts 9 quarts 7 pints 7 pints 7 quarts 7 quarts 14 quarts
Answer:
7 quarts.
Step-by-step explanation:
First, let's convert all the units to quarts. There are 2 pints in 1 quart, so 5 pints of orange sherbet is equivalent to 5/2 = 2.5 quarts. Similarly, 7 pints of vanilla ice cream is equivalent to 7/2 = 3.5 quarts. The recipe calls for 6 quarts of lemonade and 2.5 quarts of orange sherbet, for a total of 6 + 2.5 = 8.5 quarts of liquid. Since the punch bowl holds 4 gallons, which is equivalent to 4 * 4 = 16 quarts, Jasmine needs to add 16 - 8.5 = 7.5 quarts of ginger ale to the punch bowl. Since 1 quart is equivalent to 2 pints, Jasmine needs to add 7.5 * 2 = <<7.5*2=15>>15 pints of ginger ale to make one bowl of punch. Thus, the correct answer is 7 quarts.
Tell me if this helped :)
The Delta Insurance Company is having a policyholder subsystem which has started giving trouble. Over the years, the application evolved from using fixed length, multi-record type files to using a hierarchic database to using a relational database. The programs did not change much, but the data structures changed radically. Program code was patched to provide for the new data structure. The amount of people-time allocated to policyholder maintenance grew 15% per year over the last five years and is now costing as much per year as it did in 1980 to develop the original application. No one ever considered reevaluating the subsystem for redevelopment, but they would like to now. Upon inspection, the documentation was found to be up-to-date and includes flow charts and data flow diagrams. There are no current diagrams of the data structure. There are also no historical files of decisions or of changes. Apply the concepts of change management to discuss how should the company get this application in order? What type( s) of maintenance should they consider for the next set of changes?
By applying change management concepts and selecting appropriate maintenance types, the Delta Insurance Company can successfully redevelop their policyholder subsystem and achieve a more efficient and cost-effective solution.
The Delta Insurance Company is facing a challenge with their policyholder subsystem and it is clear that they need to reevaluate the system for redevelopment. The amount of people-time allocated to policyholder maintenance has been increasing at a significant rate of 15% per year over the last five years, and this is now costing as much per year as it did in 1980 to develop the original application.
In order to get the application in order, the company should start by analyzing the current data structures and identifying any areas that need improvement. It is important to document all decisions and changes made during this process, as this will be useful in the future. The company should consider using change management principles to ensure that all stakeholders are aware of the changes being made and are involved in the decision-making process.
As for the next set of changes, the company should consider implementing a proactive maintenance approach. This could involve regular updates and improvements to the system, rather than just fixing problems as they arise. They should also consider implementing a data-driven approach to maintenance, using data to identify areas that need improvement and to make decisions about the best course of action. Ultimately, the company should strive for a system that is flexible, efficient, and easy to maintain, in order to avoid similar issues in the future.
It's crucial for the Delta Insurance Company to get their policyholder subsystem in order, considering the increasing amount of people-time allocated to its maintenance. To achieve this, they should consider reevaluating the subsystem and applying change management concepts.
First, the company needs to establish a clear understanding of the current state of the subsystem by analyzing the available documentation, flow charts, and data flow diagrams. Since there are no current data structure diagrams, creating these should be a priority to visualize the subsystem's structure and identify areas for improvement.
Next, they should set specific goals for redevelopment, such as reducing people-time costs and streamlining the maintenance process. This can be done by identifying inefficiencies in the existing code and data structures, and considering alternative solutions like updating technology or redesigning processes.
Once a plan is in place, the company should implement the necessary changes in a controlled manner, closely monitoring the progress and impact of the modifications. They should also ensure clear communication among all stakeholders and provide training as needed.
Regarding maintenance types, the company should consider adaptive, corrective, and perfective maintenance for the next set of changes. Adaptive maintenance involves adjusting the system to accommodate changes in the environment or business requirements. Corrective maintenance focuses on fixing any errors or bugs in the system. Perfective maintenance aims to improve the system's performance, usability, or maintainability.
By applying change management concepts and selecting appropriate maintenance types, the Delta Insurance Company can successfully redevelop their policyholder subsystem and achieve a more efficient and cost-effective solution.
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The ratio of boys to girls in Ella's class is 3 to 4. The ratio of boys to girls in Minh's class is 4 to 5. Each class has a total of 20 girls. How many boys are in each class? *
Answer:
15 and 16
Step-by-step explanation:
i hop it helps
There are 15 boys in Ella's class and 16 boys in Minh's class.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, The ratio of boys to girls in Ella's class is 3 to 4. The ratio of boys to girls in Minh's class is 4 to 5.
Each class has a total of 20 girls and assuming each class has a total of x students.
∴ 4x/7 = 20.
4x = 140.
x = 35.
No. of boys = 15.
5x/9 = 20.
5x = 180.
x = 36.
No. of boys = 16.
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what is the length and width of a basketball court
The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).
A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:
The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.
The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.
These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.
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Find the total cost of tiling a triangular area having a base
length of 3 meters and a height of 9 meters if it costs $9.71 to
tile one square meter. Round to the nearest cent
The total cost of tiling a triangular area having a baselength of 3 meters and a height of 9 meters is $131.29.
Given base length of triangular area is 3 metersHeight of triangular area is 9 metersCost of tiling one square meter = $9.71 We need to find the total cost of tiling the triangular area. The area of a triangle is given by the formula as shown below,
Area of a triangle = 1/2 × base length × height, Therefore, Area of the given triangle = 1/2 × 3 meters × 9 meters= 13.5 square meters. Now, the total cost of tiling the triangular area can be found by multiplying the area by the cost per square meter. Total cost of tiling triangular area = 13.5 square meters × $9.71/square meter = $131.29 (approx)
Hence, the total cost of tiling a triangular area having a baselength of 3 meters and a height of 9 meters is $131.29.
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Boubacar is driving on a long road trip. He created the graph below to represent the of gas left in his tank. What is the meaning of the point ? Time ()
of gas in the tank after .
The change in the number of of gas in the tank for every one additional .
How long it takes Boubacar to run out of gas.
The number of of gas initially in the tank.
The meaning of the point (1,10) on the graph of the function is given as follows:
10 gallons of gas in the tank after one hour.
How to interpret the point?All the points in the graph of a function have the format presented as follows:
(x,y).
In which:
x is the input variable.y is the output variable relative to the input variable x.For this problem, the input and output variables are given as follows:
Input: number of hours.Output: number of gallons of gases in the tank.Hence the interpretation of point (1,10) is that there are 10 gallons of gas in the tank after one hour.
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A cylinder has a height of 13 meters. It's volume is 4,082 cubic meters. What is radius of the cylinder?
Answer: A cylindrical water storage tank has an inside base radius of 7m and depth of 11 m. ... Let the depth of the tank be h metres.
Step-by-step explanation:
Answer:
the radius is 10 m apprx
Step-by-step explanation:
height of the cylinder = \(\pi r^{2} h\) = 4082 \(m^3\)
then \(r^{2}= \frac{4082}{13\pi } = 99.9493\)
r= \(\sqrt{99.9493}\) =10.0 m
What is half of the world’s population
Answer:
3,900,000,000
Step-by-step explanation:
The current global population is 7,800,000,000.
Half of this is 3,900,000,000.
there are 2400 students in a school. 17% of the students in the school wear glasses. how many of student wear glasses?
Answer: 408 students wear glasses
how do you know of an exponential fuction is reflected across the x-axis?
Answer:
Step-by-step explanation:
A reflection over the x-axis changes all the y-values. The reflection is modeled as -f(x)
For example:
\(\sqrt{x}\) would look like --\(\sqrt{x}\) .
If the negative sign is outside of the bracket ( what it's called sorry), then it is a reflection over the x-axis
However if the negative sign was inside the bracket: \(\sqrt{-x}\) then this would be a reflection over the y axis.
Hope this helps!
Explain the difference between finding the vertex of a function written in vertex form and finding the vertex of a function written in standard form.
The equation in the vertex form will be y = (x + b/2a)² - b²/4a² + c/a and the equation in the standard form will be ax² + bx + c = 0.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
Convert the standard equation into a vertex form, then we have
x² + (b/a)x + (c/a) = 0
x² + (b/a)x + b²/4a² - b²/4a² + c/a = 0
(x + b/2a)² - b²/4a² + c/a = 0
Put h = - b/2a and k = - b²/4a² + c/a, where (h, k) be the vertex of the parabola. Then the equation will be
(x - h)² + k = 0
The function written in vertex form will be y = (x - h)² + k and in the standard form will be ax² + bx + c = 0.
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pls help ty
What is the equation of the line that is horizontal and passes through point (−7.8, 2.9)? Answer: __________
Answer:
y = 2.9
Step-by-step explanation:
Horizontal lines have the same y-values for any x-value, so if the line passes through the point (-7.8, 2.9) it must have the same y-value of 2.9 for every other x-value, hence y = 2.9
Calculate ∬x^2 z , where S is the cylinder (including the top and bottom) x^2+y^2 = 4, 0 ≤ z ≤ 3.
Answer:
The value of the integral is 12π.
Step-by-step explanation:
We can use cylindrical coordinates to integrate over the given cylinder. In cylindrical coordinates, the equation of the cylinder becomes:
r^2 = x^2 + y^2 = 4
Thus, the cylinder has a radius of 2. Also, 0 ≤ z ≤ 3, so we can set up the integral as follows:
∬x^2 z dV = ∫0^3 ∫0^2π ∫0^2 (r^2 cos^2 θ) z r dz dθ dr
We integrate with respect to z first:
∫0^3 zr (r^2 cos^2 θ) dz = 1/2 (r^2 cos^2 θ) z^2 ∣0^3 = 9/2 r^2 cos^2 θ
Next, we integrate with respect to θ:
∫0^2π 9/2 r^2 cos^2 θ dθ = 9/4 r^2 π
Finally, we integrate with respect to r:
∫0^2 9/4 r^2 π dr = 9/4 π (r^3/3) ∣0^2 = 12π
Therefore, the value of the integral is 12π.
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Jason has 48 muffins, which he needs to box up into dozens. How many boxes does he need?
Answer:
4 boxes bc they're 12 in a dozen
Answer: 4 boxes
Step-by-step explanation: A dozen = 12
48 / 12 = 4
The numbers in this sequence increase by 8 each time.
14
22
30
38...
The sequence is continued wwith the same rule.
Which number in the sequence will be closest to 100?
Answer:
Step-by-step explanation:
The measures of two supplementary angles are 4x° and 2x°. Write and solve an equation to find the measure of each angle.
Equation: ________________________
Answer: _____________________________
Equation: \( 4x\degree + 2x\degree = 180°\)
Answer:
120°, 60°
Step-by-step explanation:
Since, sum of any two Supplementary angles is always 180°.
\( \therefore 4x\degree + 2x\degree = 180°\\
\therefore 6x\degree = 180°\\
\therefore 6x = 180\\\\
\therefore x = \frac{180}{6}\\\\
\therefore x = 30\\
\implies \\
4x° = (4\times 30)° = 120°\\
\&\\
2x° = (2\times 30)° = 60°\\
\)
2. Which equation describes a line that has
a slope of (4/5) and a y-intercept of (2/5)?
A) 5y + 4x = 2
C) Sy - 4x = 2
B) 4x5y = 2
D) -5y - 4x = 2
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = \(\frac{4}{5}\) and c = \(\frac{2}{5}\) , then
y = \(\frac{4}{5}\) x + \(\frac{2}{5}\) ( multiply through by 5 to clear the fractions )
5y = 4x + 2 ( subtract 4x from both sides )
5y - 4x = 2 → C
Answer:
c,5y-4x=2
Step-by-step explanation:
y=mx+b
y=4/5x+2/5
so m=4/5, and y intercept x=0 so y=2/5
help asap if you can pls!!!!!!
The following statements can be concluded if ∠ABC and ∠CBD are a linear pair:
B. ∠ABC and ∠CBD are supplementary.
D. ∠ABC and ∠CBD are adjacent angles.
What is the linear pair theorem?In Mathematics, the linear pair theorem states that the measure of two angles would add up to 180° provided that they both form a linear pair. This ultimately implies that, the measure of the sum of two adjacent angles would be equal to 180° when two parallel lines are cut through by a transversal.
According to the linear pair theorem, ∠ABC and ∠CBD are supplementary angles because BDC forms a line segment. Therefore, we have the following:
∠ABC + ∠CBD = 180° (supplementary angles)
m∠ABC ≅ m∠CBD (adjacent angles)
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ay went to an amusement park. The park charges an entrance fee of $10.50 and $4.50 for every ride. Jay spent $46.50 on entrance fees and rides. Which fuction can be used to find the number of rides he went on?
Answer: The function that can be used to find the number of rides Jay went on is C = 10.50 + 4.50r, where C is the total cost and r is the number of rides. In this case, we know that Jay spent a total of $46.50 on entrance fees and rides, so we can plug this value into the equation and solve for r:
46.50 = 10.50 + 4.50r
Subtracting 10.50 from both sides, we get:
36 = 4.50r
Dividing both sides by 4.50, we find that Jay went on r = 8 rides.
the set of all n-tuples of real numbers that have the form, (x,x,x,...x) with the standard operations on R^n.i have read that n-tuple is a list of elements that are greater than or equal to 0 (non-negative). however, they say its an n-tuple of real numbers. does this mean that the n-tuple (x,x,x,....x) can have negative values (-x,-x,-x...-x)?
To answer the question, no, the n-tuple (x,x,x,....x) does not necessarily have to consist of non-negative values.
An n-tuple is a sequence of n elements, and in mathematics, it can refer to a sequence of real numbers, complex numbers, or other types of mathematical objects. In the case of the given set of n-tuples, it specifies that the n-tuple consists of real numbers and that all the elements in the tuple have the same value, which is denoted by x.
The definition of the set only specifies that the elements are real numbers and that they are all equal to each other. Therefore, the elements in the tuple can be positive, negative, or zero.
However, if the context of the problem or application requires the elements to be non-negative, then this restriction should be explicitly stated.
For example, if the n-tuple represents a set of quantities that cannot be negative, such as lengths, areas, or volumes, then it is appropriate to specify that the elements are non-negative real numbers.
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Is the opposite of 32, is 32?
Answer:
Step-by-step explanation:
NO i think