Answer:
w=12
Step-by-step explanation:
3.6w=2(0.8w+12)
3.6w=2x0.8w+2x12
3.6w=1.6w+24
3.6w-1.6w=24
2w=24
w=12
HOPE THIS WILL HELP;)
2) x2 - 12x + 38 = 6
square Strategy
Answer:
x = 4, x = 8
Step-by-step explanation:
Given the quadratic equation, x² - 12x + 38 = 6
Subtract 38 from both sides:
x² - 12x + 38 - 38 = 6 - 38
x² - 12x = -32
You'll need to rewrite the equation in the form, x² + 2ax + a². To find the value of a:
2ax = -12x
Divide both sides by 2x to solve for the value of a :
\(\frac{2ax}{2x} = \frac{-12x}{2x}\)
a = -6
Substitute the value of a into the quadratic form, x² + 2ax + a²
x² - 12x + a² = -32 + a²
x² - 12x + (-6)² = -32 + (-6)²
x² - 12x + 36 = -32 + 36
x² - 12x + 36 = 4
Rewrite the perfect square trinomial into its binomial factors:
x² - 12x + 36 = 4
(x - 6)² = 4
To solve for x, take the square root of each side of the inequality:
\(\sqrt{(x - 6)^{2}} = +/- \sqrt{4}\)
\(\sqrt{(x - 6)^{2}} = \sqrt{2^{2} } = (x - 6) = 2\)
(x - 6) = 2For (x - 6) = 2, start by adding 6 to both sides of the equation:
x - 6 + 6 = 2 + 6
x = 8
\(\sqrt{(x - 6)^{2}} = -\sqrt{2^{2} } = (x - 6) = -2\)
(x - 6) = -2For (x - 6) = - 2, start by adding 6 to both sides of the equation:
x - 6 + 6 = - 2 + 6
x = 4
Therefore, the solutions to the quadratic equations using the perfect square strategy are: x = 4, x = 8.
Design your own statistical question that you can ask at least twenty different people. Keep in mind that the question should result in a variety of different numerical answers. What is your statistical question?
Average number of books read per month by individuals in a given community.
What is the average number of books read per month by individuals in a given community?This question aims to gather data on the reading habits of individuals within a specific community.
By asking at least twenty different people, we can collect a range of numerical answers representing the number of books read per month by each participant.
The responses may vary greatly, as some individuals may read extensively while others may read minimally.
By calculating the average of the collected data, we can determine the estimated average number of books read per month within the community.
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the product of eight and a number squared decreased by 5
The expression that can be formed by the given sentence is 8x² - 5.
What are expressions?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)So, for the expression as follows:
Eight and a number squared decreased by 5 can be:
Now, let the number be 'x'.
So, product of 8 and number squared: (8x²)Decreased by 5: (-5)Hence, the expression we obtain is:
8x² - 5
Therefore, the expression that can be formed by the given sentence is 8x² - 5.
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Astha had $5,700 in her savings account when Henry opened a savings account with zero dollars.
Astha deposited $100 into her account each week for x weeks.
Henry deposited $75 into his account each week for x weeks.
The accounts did not earn interest.
Which inequality represents this situation when the amount of money in Astha's account was greater than the amount of money in Henry's account?
Answer choices:
100x < 5,700 + 75x
75x > 5,700 + 100x
100x > 5,700 + 75x
75x < 5,700 + 100x
Astha's account was greater than the amount of money in Henry's account is:
5700 + 100x > 75x
Why Astha's account was greater?Let's start by finding the total amount of money deposited by Astha and Henry after x weeks.
Astha deposited $100 into her account each week for x weeks, so the total amount she deposited is 100x.
Similarly, Henry deposited $75 into his account each week for x weeks, so the total amount he deposited is 75x.
To find the inequality that represents the situation when the amount of money in Astha's account was greater than the amount of money in Henry's account, we need to compare the total amount of money each of them deposited.
Astha started with $5,700 and deposited $100 each week for x weeks, so the total amount of money in her account after x weeks is:
5700 + 100x
Henry started with zero dollars and deposited $75 each week for x weeks, so the total amount of money in his account after x weeks is
75x
Therefore, the inequality that represents the situation when the amount of money in Astha's account was greater than the amount of money in Henry's account is:
5700 + 100x > 75x
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Let A = {2,4,6,8,10,12} B = {3,6,9,12,15,18} C = {0,6,12,18} Find C-A. none of the choices {2,3,4,6,8,9,10,12} O {2,4,8,10) {0,18}
the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.
To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:
C = {0, 6, 12, 18}
A = {2, 4, 6, 8, 10, 12}
We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.
Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.
Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.
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there are six members on a student council. two of these members will serve on a spring formal committee. how many possible spring formal committees are there?
There are 30 different combinations of two members who can be selected to serve on the spring formal committee.
Permutation is the arrangement of elements in a specific order. In this scenario, the elements are the six members of the student council, and the order in which they are arranged is important.
To find the number of permutations, we use the formula nPk, where n is the number of elements and k is the number of elements we want to arrange.
In this case, n = 6 and k = 2,
so we have
=> 6P2 = 6!/(6-2)!
=> 6!/(4!) = 6 x 5/1 = 30.
So, there are 30 possible spring formal committees that can be formed from the six members of the student council.
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Amazon Math Flow Questions • You have 30 associates who all work an 8 hour day, 5 days a week. 2 need to be indirect-they are not on the floor producing. Your direct rate is 150 units per hour but you have two 15 minute breaks during the day. How many units can your department produce in a 40 hour week? . If you need to produce an extra 10,000 units in a given week how many extra people will it require? Question: Each sandwich takes 10 minutes to make which means in the 10 hour shift there will be a... Each sandwich takes 10 minutes to make which means in the 10 hour shift there will be a total of 60 sandwiches. The deli wants an efficient way to increase the sandwich output using the same five workers and 10 hour shift (Don't Factor Break in) to produce 75 because of the 25% increase due to the expansion of the deli. What would you do to make the the process more efficient? Where each sandwich would take 8 minutes to make instead of 10 minutes. Please answer the question throughly.
Extra people required is 50.
Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Question 1 :
Number of associates = 30
Number of direct workers = 30 - 2 = 28
You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.
Direct rate = 150 units per hour
Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week
= 37.5 hours per week
Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units
28 people produce 5625 units in a week
Let x people produce 10,000 + 5625 = 15,625 units in a week
Using proportion,
28 : 5625 = x : 15,625
28 / 5625 = x / 15,625
x = (28 × 15,625) / 5625 = 77.78 ≈ 78
Extra people required = 78 - 28 = 50
Question 2 :
Number of sandwiches made in 10 minutes = 1
Number of sandwiches made in 10 hours = 60
5 workers are there. one worker makes 60/5 = 12 sandwiches
But Deli want number of sandwiches in 10 hours = 75
One worker should make 75/5 = 15 sandwiches instead of 12.
Number of sandwiches made in 8 minutes should be 1.
So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.
Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.
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The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer in simplest form.
Answer:
17/9
Step-by-step explanation:
The scaled figure in the right is larger, thus the scale factor is greater than 1.
Find the number of possible outcomes for following situation.
A rectangle has a perimeter of 12 and integer side lengths.
To find the number of possible outcomes for a rectangle with a perimeter of 12 and integer side lengths, we can consider the different combinations of side lengths that satisfy the given conditions.
Let's denote the length and width of the rectangle as L and W, respectively. The perimeter of a rectangle is given by the formula P = 2L + 2W. In this case, we have P = 12. Substituting the values into the formula, we get 2L + 2W = 12. Simplifying further, we have L + W = 6. Now, we can explore the possible integer solutions for L and W that satisfy the equation L + W = 6. These solutions include (1, 5), (2, 4), and (3, 3). The side lengths of the rectangle are interchangeable, so (1, 5) is equivalent to (5, 1), and (2, 4) is equivalent to (4, 2). Therefore, there are three possible outcomes for the side lengths of the rectangle that satisfy the given conditions.
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Que valor en la ecuacion 3(x - 2) =7x+n tiene la solucion x=0
A. n = -6
B. n = -4
C. n = 3
D. n = 7
Answer: A. -6=n
Step-by-step explanation:
3(x - 2) =7x+n
3x-6=7x+n
-6=4x+n
-6=4(0)+n
-6=n
Let C be the curve which is the union of two line segments, the first going from (0, 0) to (4, -3) and the second going from (4, -3) to (8, 0). Compute the line integral So 4dy + 3dx. A 5-2
To compute the line integral ∮C 4dy + 3dx, where C is the curve consisting of two line segments, we need to evaluate the integral along each segment separately and then sum the results.
The first line segment goes from (0, 0) to (4, -3), and the second line segment goes from (4, -3) to (8, 0).
Along the first line segment, we can parameterize the curve as x = t and y = -3/4t, where t ranges from 0 to 4. Computing the differential dx = dt and dy = -3/4dt, we substitute these values into the integral:
∫[0, 4] (4(-3/4dt) + 3dt)
Simplifying the integral, we get:
∫[0, 4] (-3dt + 3dt) = ∫[0, 4] 0 = 0
Along the second line segment, we can parameterize the curve as x = 4 + t and y = 3/4t, where t ranges from 0 to 4. Computing the differentials dx = dt and dy = 3/4dt, we substitute these values into the integral:
∫[0, 4] (4(3/4dt) + 3dt)
Simplifying the integral, we get:
∫[0, 4] (3dt + 3dt) = ∫[0, 4] 6dt = 6t ∣[0, 4] = 6(4) - 6(0) = 24
Finally, we sum up the results from both line segments:
Line integral = 0 + 24 = 24
Therefore, the value of the line integral ∮C 4dy + 3dx is 24.
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PLEASE ANSWER URGENTLY ILL TRY AND MARK BRAINLIEST
Answer:
3, text time get a better pic
Step-by-step explanation:
No nu Use El is Constant (Assume El = 1 kN-m²) Y KN X KN 3 m 7 +4m B 10 + A 1. Determine the deviation of B with respect to the tangent at A 2. Determine the deviation of A with respect to the tangent at B 3. Determine the deviation under the load Y with respect to the tangent at A 4. Determine the deviation under the load X with respect to the tangent at A 5. Determine the deviation under the load Y with respect to the tangent at B 6. Determine the deviation under the load X with respect to the tangent at B 7. Determine the slope at A 8. Determine the slope at B 9. Determine the location of the maximum deflection from A 10. Determine the maximum deflection 11. Determine the angle in radians between the tangents at A and tangent at B 12. Determine the angle in radians between the tangents at A and tangent under the load Y 13. Determine the angle in radians between the tangents at A and tangent under the load X All units must be in kN or m in the summary. Be consistent with your units. Use ABSOLUTE values for your summary of answers
To find the deviation of point B with respect to the tangent at point A, we need to calculate the displacement of B in the direction perpendicular to the tangent at A.
To determine the deviation of A with respect to the tangent at B, we need to calculate the displacement of A in the direction perpendicular to the tangent at B.
To find the deviation under the load Y with respect to the tangent at A, we need to calculate the displacement of the point under load Y in the direction perpendicular to the tangent at A.
Similarly, to find the deviation under the load X with respect to the tangent at A, we need to calculate the displacement of the point under load X in the direction perpendicular to the tangent at A.
To determine the deviation under the load Y with respect to the tangent at B, we need to calculate the displacement of the point under load Y in the direction perpendicular to the tangent at B.
To find the deviation under the load X with respect to the tangent at B, we need to calculate the displacement of the point under load X in the direction perpendicular to the tangent at B.
To determine the slope at point A, we need to find the inclination of the tangent line at A.
Similarly, to find the slope at point B, we need to find the inclination of the tangent line at B.
To determine the location of the maximum deflection from point A, we need to find the point where the deflection is maximum along the beam.
To find the maximum deflection, we need to calculate the maximum displacement of any point along the beam.
To determine the angle in radians between the tangents at point A and the tangent at point B, we need to find the angle formed by the intersection of the two tangent lines.
Similarly, to find the angle in radians between the tangents at point A and the tangent under the load Y, we need to find the angle formed by the intersection of the tangent lines.
To find the angle in radians between the tangents at point A and the tangent under the load X, we need to find the angle formed by the intersection of the tangent lines.
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Six friends went out to lunch they each started with the same amount of money and they each spent 8$ they ended with a combined total of 48$ how much money did each of them have to start
Answer:
8
Step-by-step explanation:
need answer fast in 5 minutes
Answer:
Each term in pattern B is 9 less than the corresponding term in pattern A.
Need URGENT help with #10-#14!!
Answer:
Step-by-step explanation:
Formula for circumference = 2πr
where r = radius
π = 3.14
10. Radius = 4in
Circumference = 2πr = 2 × 3.14 × 4
= 25.12in
11. Radius = 7 yard
Circumference = 2πr = 2 × 3.14 × 7
= 43.96 yard
12. Radius = 3.6 km
Circumference = 2πr = 2 × 3.14 × 3.6
= 22.608 km
13. Radius = 1.1mm
Circumference = 2πr = 2 × 3.14 × 1.1
= 6.908mm
14. Radius = 1/4mi
Circumference = 2πr = 2 × 3.14 × 0.25
= 1.57mi
Simplificación de la raíz cuadrada de 50
Answer:\(5\sqrt{2}\)
Step-by-step explanation:
\(\sqrt{50}\) ==>
2x25 ==> El 25 lo puedes reducir más ==> 5x5
Como el 5 tiene dos numero que se multiplican por si mismo se convierte en uno solo y va fuera de la raiz cuadrada.
Como el 2 que multiplicaste por 25 ya no se puede reducir y no tiene par, va adentro de la raiz cuadrada.
Resultado:
\(5\sqrt{2}\)
Is 2x - 3y = 7 a linear or nonlinear equation? Please explain ✨
Answer:
It is a linear equation
Step-by-step explanation:
this is a linear equation because the line is going straight
If you spin the spinner 100 times, how many times do you expect it to stop at 8?
Answer:
1/100 times because for every time it spins, then it will land on 8 at least 1/100 times.
Solve for j
A = 4 j k
Answer:\(a=4jk\\isolate J: divide 4 and k\\= \frac{a}{4k} =J\)
Step-by-step explanation:
Answer:
\(a = 4jk \\ akj = a \\ \frac{akj}{4k} \: = \frac{a}{ak} \\ j = \frac{a}{4k} \\ \)
Here ur ans.
By:- Utsav Xettri
a cone-shaped pile of sawdust has a base diameter of 32 feet, and is 14 feet tall. find the volume of the sawdust pile.
The volume of the sawdust pile is 3754.667 cubic feet
A cone is a three-dimensional shape that has a circular base with tapers from the flat base into the vertex.
The formula for searching the volume of the cone can be described below :
V = \(\frac{1}{3}\) π \(r^{2}\) h
which
V = volume of the cone
r = radius of cone circular base
h = height of cone ( tall of the cone )
From the question, we have following information :\
1. Base diameter = 32 feet
Base radius = Base diameter / 2 = 32 feet / 2 = 16 feet
2. Tall / Height of the cone = 14 feet
Since the known parameter is enough to be put into the formula, we can simply subtitute the formula with known parameter
V = \(\frac{1}{3}\) π \(r^{2}\) h
= \(\frac{1}{3}\) x π x \(16^{2}\) x 14
= 3754.667 cubic feet
Hence the volume of the cone is 3754.667 cubic feet
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A 5 cm x 11 cm rectangle sits inside a circle with radius of 12 cm
Round 57.183 to the nearest whole number tenth and hundredth
Answer:
Step-by-step explanation: 57.183= to the whole number= 58.183
Tenth= 57.180
Hundredth= 57.200
Answer:
Nearest Whole Number: 57
Nearest Tenth: 57.2
Nearest Hundredth: 57.18
*Note: When rounding to a place value the number after the place value you want determines whether the place value number says the same or goes up by 1. In order for the place value number to stay the same the number after has to be less than 5 and in order for the place value number to go up by 1 the number after has to be greater than or equal to 5.
Which of the graphs below represents the equation 8x-y=-4?
Answer:
Graph X
Step-by-step explanation:
First, convert the equation into slope-intercept form. The first step is the bring the x to the right side by subtracting 8x from both sides: -y=-8x-4. Now multiply both sides by -1: y=8x+4. Now, if you know about the slope-intercept form, you'll know that 4 is the y-intercept and that \(\frac{8}{1}\) is the slope. 8 is the rise and 1 is the run, so the answer is graph X.
Help please and thanks :)
Answer:
- \(\frac{11}{3}\)
Step-by-step explanation:
Using the rules of exponents
\(\frac{1}{a^{m} }\) ⇔ \(a^{-m}\)
\((a^{m}) ^{n}\) = \(a^{mn}\)
Consider the right side
\((\frac{1}{27}) ^{a+3}\)
= \((\frac{1}{3^3}) ^{a+3}\)
= \((3^{-3}) ^{a+3}\)
= \(3^{(-3a-9)}\)
Now we have
9 = \(3^{(-3a-9)}\) , that is
3² = \(3^{(-3a-9)}\)
Since the bases on both sides are equal, equate the exponents
- 3a - 9 = 2 ( add 9 to both sides )
- 3a = 11 ( divide both sides by - 3 )
a = - \(\frac{11}{3}\)
Answer:
Your answer is - 11/3
Step-by-step explanation:
Hope this helps!
If a polygon is a square, then it is a quadrilateral.
What is the converse of this conditional statement?
Answer:
B. If a polygon is a quadrilateral ,then it is a square.
Step-by-step explanation:
• in this conditional statement:
hypothesis : the polygon is a square.
Conclusion: the polygon is a quadrilateral.
•• A conditional statement has this form :
If (hypothesis) then (conclusion).
••• To get the converse of the conditional statement, we interchange the hypothesis and the conclusion like this :
If (conclusion) then (hypothesis).
……………………………………………………
Therefore, the converse is :
If the polygon is a quadrilateral ,then the polygon is a square.
Select the correct answer from each drop-down menu. Consider function f, where B is a real number. Complete the statement describing the transformations to function f as the value of B is changed. As the value of B increases, the period of the function , and the frequency of the function . When the value of B is negative, the graph of the function .
The answer through which all the value of the given relation satisfied the relation is period decreases, frequency increases and reflected in y - axis.
What about frequency?
In mathematics, frequency is a term used in statistics to describe how often a particular value or set of values appears in a dataset. Specifically, frequency refers to the number of times a particular data point or value occurs in a dataset.
For example, consider a dataset of test scores for a class of students. The frequency of a particular score (e.g., 80%) would be the number of students who received that score. The frequencies can be used to create a frequency distribution, which is a table that shows the frequency of each value or group of values in a dataset.
According to the given information:
In the given condition as the value of B increases, the periodic function decreases and the frequency of the function increases where as, when the value of B is negative, the graph of the function reflected in y-axis.
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What is the smallest positive integer that is both a multiple of $7$ and a multiple of $4$?
The number that is both a multiple of 7 and 4 and is the smallest positive integer of the two is 28 .
What is a multiple ?A multiple in mathematics refers to the outcome of multiplying two numbers together.
This means that the multiples of 4 can therefore be found to be:
4, 8, 12, 26, 20, 24, 28, 32, 36, 40
The multiples of 7 would also be:
7 , 14 , 21 , 28 , 35 , 42 , 49
Given these list of multiples, the multiple that appears in both sets and is the smallest to appear is 28. This makes 28 the smallest positive integer that is a multiple of 7 and 4.
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Find the value of angle y?
describe the solution set for the system of equations that consists of the equation of the line shown and .y=1/2x-3
The correct statement according to the given equation is statement (D)"They have a single solution since they have various y-intercepts but the same slopes."
What is the equation?
The relationship between two terms on either side of an equal sign is easily demonstrated using a simple equation.
Additionally, one or more of the four arithmetic operations that simple equations do include addition, fundamental arithmetic, multiplication, and division.
The three possible forms of the equation system are point-slope form, standard form, and slope-intercept form.
So, given equations:
y = 1/2 * x - 3
y = - 1/2 * x - 3
As we are aware, a line's slope-intercept form is:
y = m x + c
Therefore, it is clear from equations 1 and 2 that:
m1 = 1/2 and c1 = -3
m2 = -1/2 and c2 = -3
Therefore, the correct statement according to the given equation is statement (D)"They have a single solution since they have various y-intercepts but the same slopes."
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Complete question:
A system of equations is given below. y=1/2x-3 and -1/2x-3. Which of the following statements best describes the two lines?
a. They have the same slope but different y-intercepts, so they have no solution.
b/. They have the same slope but different y-intercepts, so they have one solution.
c. They have different slopes but the same y-intercept, so they have no solution.
d. They have different slopes but the same y-intercept, so they have one solution.