Cost of goods manufactured= $905,000 Overhead cost applied to Work in Process and hence option c is correct
To calculate the cost of goods manufactured, we need to use the following formula:
cost of goods manufactured= beginning WIP + direct materials + direct labor + allocated manufacturing overhead - Ending WIP
Schedule cost of goods manufactured:
Beginning WIP= 40,000
Direct materials used= 20,000 + 400,000 - 30,000= 390,000
Direct labor= 60,000
Allocated manufacturing overhead= 485,000
Ending WIP= (70,000)
Cost of goods manufactured= $905,000
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michael and angelo are both artists who can create sculptures or paintings each day. the following table describes their maximum outputs per day. what is michael’s opportunity cost of a sculpture?
Michael's opportunity cost of a sculpture is 2 paintings per sculpture.
According to the table, Michael can produce either 3 sculptures or 6 paintings in a day. Therefore, the opportunity cost of producing one sculpture for Michael is 2 paintings, as he could have produced 2 additional paintings instead of the sculpture.
Opportunity cost represents the trade-off between two options and helps decision makers understand the benefits and drawbacks of different choices. In this case, by choosing to produce a sculpture, Michael is forgoing the opportunity to produce 2 paintings.
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Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena starts with $10 in her savings account and adds $20 each week.
After four weeks, who has more money in their savings account? Explain how you know.
After how many weeks will Andre and Elena have the same amount of money in their savings accounts?
Answer:
Andre has more money in his savings account.
Step-by-step explanation:
We need to have equations for both Andre and Elena. Andre starts with $100 in his savings and adds $5 per week. Based on this, Andre's equation will be y = 5x + 100. Elena starts with $10 and adds $20 per week. Based on this, Elena's equation will be y = 20x + 10.
Andre: y = 5x + 100
Elena: y = 20x + 10
We have to figure out who will have more money in their account after 4 weeks. To do that, we plug in 4 into x because x is the number of weeks.
Andre: y = 5(4) + 100
y = 20 + 100
y = 120
Andre has $120 after 4 weeks.
Elena: y = 20(4) + 10
y = 80 + 10
y = 90
Elena has $90 after 4 weeks.
Which is greater? $120 or $90? That's right, its $120. Andre has more money in his savings account. I hope this helps!
What is the quotient?
733 ÷ 4
This model describes the division calculation.
Enter a number in each box to correctly complete the model and quotient.
The quotient of the given division expression is 183.25
The division is multiplying one number by any other number to produce a different number. Consequently, the dividend is the number that is divided in this instance. A number's divisor is the one that divides the given number. The quotient is the sum of the two numbers we arrive at as a result. A number is called a "remainder" when a divisor produces a result that does not divide a given number entirely.
formula for dividing
Dividend Divisor = Quotient is how division is performed.
You may alternatively write the expression above as:
Dividends times quotients is a divisor.
In this instance, the divisional symbol is "." However, sometimes, the symbol "/" is used instead, as in
Divisor / Dividend = Quotient
733 ÷ 4= 183.25
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A first number plus twice a second number is 10. Twice the first number plus the second totals 14. Find the numbers
Answer:
Below
Step-by-step explanation:
x + 2y = 10 given
2x + y = 14 given multiply this equation by -2 to get :
-4x - 2y = - 28 add to top equation to get
-3x = -18 so x = 6
x + 2y = 10 so y = 2
on a piece of paper , graph c(x)=3x+200. Then determine which answer matches the graph you drew, including the correct axis labels.
Therefore , the solution of the given problem of function comes out to be the graph of option D and c(x)=3x+200 match.
How can a function graph be created?If the function under consideration whose graph needs to be drawn is
Typically, the output values are represented on the vertical axis while the values of "x" (also known as the input variable, independent
variable, and independent variable) are plotted on the horizontal axis.
Here,
Given: They are plotted together on this point.
=> (x,y) = (x,f(x))
The functions are typically written as:
=> y = f (x) because of this (x)
In this instance, the cost of taxi ride is determined by the number of minutes that are used.
For this reason, we design the graph so that the horizontal axis receives values for x (the amount of minutes elapsed) and the vertical scale receives values for c(x), which is the cost.
The number of mins can be any amount over zero but cannot be lower than zero.
The required graph will be produced by calculating c(x) for the at least one or two values and combining the line segment that does not extend below x= 0.
=> x c(x) = 2x + 2
=> 0 = 0 + 2 = 2
=> 1 = 2 + 2 = 4
Plot the two points (0,2) and (1,4), link them, and go on to the left, not back behind x = 0.
Using the notions discussed above, we arrive at the graph shown below:
As a result, the graph of option D and c(x)=3x+200 match.
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The complete question is " The cost, c(x), for a taxi ride is given by c(x) = 2x + 2.00, where is the
number of minutes.
On a piece of paper, graph c(x) = 2x + 2.00. Then determine which answer
matches the graph you drew, including the correct axis labels."
Triangle RST has coordinates:
R (-2, 1)
Si-8, 2)
T-4,5)
Draw the translation of RST 8 units
right and 4 units down on your
recording sheet.
What are the coordinates of R'?
A. R' (-3, 6)
B. R' (0,-2)
C. R' (6,-3)
D. R' (4,1)
The correct option is option D. That is, R'(4,1). The RST coordinates of the given point is: (4,1).
The midpoint is the spot that is in the center of a line that connects two locations. The two reference points that make up a line's endpoints are where it finds its middle. At the halfway point, the line that links these two locations is evenly divided in half. Additionally, if a line is drawn to split the line that links these two points, the midway point is achieved. The midpoint formula may be used to determine the midpoint between two locations when we know their coordinates. The midpoint formula may be used to determine the coordinates of the other endpoint if we know the midpoint's coordinates as well as those of the other endpoint. RST coordinate is (4,1).
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What is the simplified form of the expression the quantity x squared minus 4x minus 21 end quantity divided by 4 times the quantity x minus 7 end quantity?.
The algebraic expression is (x² - 4x - 21)/4(x - 7) , we need to find the simplified value of it . Therefore , the simplified form is (x + 3)/4 .
What is simplification?
Rules are typically rewritten to achieve this simplicity. Systems for computer algebra use them in a methodical way. Associative operations, such as addition and multiplication, can be challenging. It is common practice to approach associativity by assuming that addition and multiplication can have any number of operands, such that the symbol for a + b + c is "+." (a, b, c). It follows that a + (b + c) and (a + b) + c are both condensed to "+"(a, b, c), which is shown as a + b + c.
In the question ,it is given that ,
the algebraic expression is (x² - 4x - 21)/4(x - 7) ,
we need to find the simplified value of it .
we first simplify the
numerator
that is x² - 4x - 21 ,
By using the split the
middle term method ,
we get ,
= x² - 7x 3x - 21
= x(x - 7) 3(x - 7)
= (x 3)(x - 7)
Writing the simplified numerator in the expression ,
we get ,
= (x 3)(x - 7)/4(x - 7)
cancelling out the common term (x-7) , we get
= (x 3)/4
Therefore , the simplified form is (x + 3)/4 . It is important to take into account different classes of rewriting rules. The easiest are formulas like E E 0 or sin(0) 0 that always make the expression smaller.
Complete question
What is the simplified form of the expression
(x² - 4x - 21)/4(x - 7) ?
(a) (x+3)/4
(b) (x-3)/4
(c) (x+3)/(x-7)
(d) (x-3)/(x-7)
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Caleb owns two types of dogs. The difference in height of his Yorkshire Terrier and his Great Dane is at least 25 inches. Caleb’s Yorkshire Terrier has a height of 6 ¼ inches. Write and solve an inequality to determine the possible height of the Great Dane. Then interpret the solution
The inequality to determine the height of Great Dane can be expressed as [tex]b-6\frac{1}{4}\geq 25 inches[/tex] and according to that the height of the dog should atleast be 31.25 inches
Let us assume the height of Great Dane as b
if the height of Yorkshire Terrier is 6.25 inches and is atleast 25 inches smaller than Great Dane then the inequality can be represented as
[tex]b-6\frac{1}{4}\geq 25 inches[/tex]
now, on solving this inequality the height of great dane comes out to be atleast 31.25 inches
[tex]b\geq 25+6\frac{1}{4}[/tex] = 31.25 inches
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Let Q(t) = t^2. find a formula for the slope of the secant line over the interval [3,t]. (express numbers in exact form. use symbolic notation and fractions where needed.)
The slope of the secant line over the interval [3, t] for the curve Q(t) = t² is given by the formula m = (t² - 9) / (t - 3).
The slope of a line is a measure of how steep the line is. It tells us how much the line is rising or falling as we move from left to right.
The secant line is a line that passes through two points on a curve. In this case, the curve is Q(t) = t².
To find the slope of the secant line over the interval [3, t], we need to find the slope of the line that passes through the points (3, 9) and (t, t²).
The slope of the line passing through two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
So, using this formula, we can find the slope of the secant line over the interval [3, t]:
m = (t² - 9) / (t - 3)
This formula gives us the exact slope of the secant line over the interval [3, t]. We can simplify it if needed, but the answer will always be in exact form.
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Kareem make muffin uing a ratio of 3. 5 cup of flour for every 1. 75 cup of ugar. If he ha 3. 5 cup of ugar, how much flour doe he need to make the muffin?
Kareem make muffin using a ratio of 3. 5 cup of flour for every 1. 75 cup of sugar. If he ha 3. 5 cup of sugar, flour doe he need to make the muffin is 7 cups.
The ratio that Kareem uses to make the muffin is 3.5 cups of flour for every 1.75 cups of sugar .
let the number of cups of flour be "y" and
the number of cups of sugar be "x" .
So , y ∝ x ,
y = k*x , where k is the constant of proportionality .
From the given data ,
3.5 = k*1.75
k = 3.5/1.75
k = 2 .
we have to find the cups of flour that Kareem needs , if he has 3.5 cups of sugar .
the equation becomes ,
y = 2*3.5
y = 7
Therefore , Kareem needs 7 cups of flour .
Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other.
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what is x - 3 equal to evaluate
The equation x - 3 = 2 when evaluated is x = 5
How to evaluate the equationFrom the question, we have the following parameters that can be used in our computation:
x - 3 equal to 2.
Express the equation properly
So, we have the following representation
x - 3 = 2
Add 3 to both sides of the equation
This gives
x - 3 + 3 = 2 + 3
Evaluate the like terms
x = 5
Hence, the solution is x = 5
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Complete question
What is x - 3 equal to 2.
Evaluate
3-4-5 Triangles in Real Life
Carpentry frequently employs 3-4-5 triangles to verify that angles are 90°
What is the 3-4-5 triangle rule?
The 3-4-5 triangle rule states that you must multiply 3, 4, and 5 by the same amount in order to accomplish this.
The theorem demonstrates the effectiveness of the 3-4-5 approach and the fact that multiplying the 3-4-5 triangle, as opposed to using the formula to determine the length, will yield the missing side.
A ratio can be conceived of as the lengths 3, 4, and 5. To obtain triangles with varying lengths but the same proportion, this ratio can be scaled.
A real life example of the 3-4-5 triangle rule is carpentry, where it is frequently employed to verify that angles are 90°.
Hence, carpentry employs 3-4-5 Triangles in Real Life.
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How do you calculate normal CDF?
The symbol for the common normal CDF is. The function represents the CDF of the standard normal distribution.
What is CDF?
The probability function that X will have a value less than or equal to x is known as the Cumulative Distribution Function (CDF) of a real-valued random variable X, evaluated at x. It is employed to describe a table's random variables' probability distribution. And using these data, we can quickly make a CDF plot in an Excel spreadsheet.
So, CDF determines the cumulative probability for the specified value. Under specific circumstances, it is used to compare the probability between values and to ascertain the probability of a random variable. For continuous distribution functions, CDF provides the area under the probability density function up to the specified value, and for discrete distribution functions, it provides the probability values up to what we specify.
F(x)=P(X≤x)=x∫−∞f(t)dt, for x∈R, In other words, integrating the pdf yields the cdf for a continuous random variable. It should be noted that the Fundamental Theorem of Calculus implies that cdf differentiation can be used to determine the pdf of a continuous random variable.
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Joshua invested $750 in an account paying an interest rate of 3 % compounded
quarterly. Josiah invested $750 in an account paying an interest rate of 25 %
compounded annually. After 18 years, how much more money would Joshua have in
his account than Josiah, to the nearest dollar
Rounding to the nearest dollar, Joshua would have $4,129 more in his account than Josiah after 18 years.
To find the amount of money in the account after 18 years,
We can use the formula:
A = P * (1 + r/n)^(nt),
where A is the amount of money in the account,
P is the principal amount ($750),
r is the interest rate (3% or 25%),
n is the number of times the interest is compounded per year (4 or 1), and t is the number of years (18).
For Joshua's account:
A = 750 * (1 + 0.03/4)^(4 * 18)
= 750 * (1.0075)^72
= $1417.15
For Josiah's account:
A = 750 * (1 + 0.25)^18 = 750 * (1.25)^18
= $5547.01
The difference in the amount of money in the two accounts will be
=$5547.01 - $1417.15 = $4129.86.
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For The Following Frequency Distribution, How Many Individuals Had A Score Of X = 5? Х F 2 5 4 4 3 2 3 A)1 B)2 C)3D)4
By looking at the frequency of each value, we can see how many individuals had a score of X = 5, which is 4 individuals.
Frequency distribution is a way of organizing data by counting how many times each value appears in a set of data.
In this specific frequency distribution, the value of X = 5 appears once. The frequency, F, for X = 5 is 4, which means that 4 individuals had a score of 5.
This information can be found by looking at the row where X = 5. The frequency distribution allows us to see a pattern in the data, in this case, the frequency of scores.
By analyzing the frequency distribution, we can see that there are more individuals with scores of 2 and 4 compared to those with scores of 3 and 5.
Therefore option (d) is correct.
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a matrix consisting entirely of zeros is called a
A matrix consisting entirely of zeros is called a zero matrix, or an all-zero matrix.
It is denoted with the symbol O and can be written in a matrix form, such as O = [0 0 0 0] where the number of columns and rows depends on the size of the matrix. A zero matrix is a matrix which has all its elements equal to zero. It has a number of special properties that make it useful in linear algebra. For instance, the sum of any two zero matrices is a zero matrix, and any scalar multiple of a zero matrix is a zero matrix. Additionally, the product of two zero matrices is a zero matrix, and the product of a zero matrix and an identity matrix is a zero matrix. These properties make it useful in solving systems of linear equations where all the coefficients are zero. Finally, the inverse of a zero matrix does not exist since its determinant is zero.
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What is the sum?
4x+9+5x+6
Answer:
9x+15
Step-by-step explanation:
if d1 +d2 = 7.0d3, d1-d2 = 3.0d3 and d3= 1.3i +4.6j ,then what are (a) the x component of d1 (b) the y component of d1 (c) the x component of d2 (d) the y component of d2?
The values of the x component of d1 is 6.5, the y component of d1 is 23 the x component of d2 is 2.6 and the y component of d2 is 9.2
Given that,
d1 +d2 = 7.0d3, (1)
d1-d2 = 3.0d3 (2)
and d3= 1.3i +4.6j (3)
Adding equation 1 and equation 2
d1 +d2 +d1 -d2 = 7 d3 + 3 d3
2d1 = 10 d3
d1 = 5d3
and we also have that d3= 1.3i +4.6j
substitute the given d3 in d1 = 5d3
therefore , d1 = 5(1.3i +4.6j)
d1 = 6.5i + 23 j
here the x component of d1 is 6.5
subtract 2 from 1
d1+d2-d1+d2 = 7d3-3d3
2d2 = 4d3
d2 = 2d3
d2 = 2(1.3i +4.6j)
= 2.6 i + 9.2j
here the x component of d2 = 2.6
the y component of d2 = 9.2
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Factor the perfect square trinomial. y^2-16y+64
Answer:
(y-8)(y-8)
(y + 8)^2
Step-by-step explanation:
To factor the perfect square trinomial "y^2-16y+64" into two binomials, we need to find two binomials that multiply to give the trinomial.
Let's use the formula (y + n)(y + m), where n and m are integers.
If we set n = 8 and m = 8, we get:
(y + 8)(y + 8) = y^2 + 16y + 64
So, the perfect square trinomial y^2 - 16y + 64 can be factored into the binomials (y + 8)^2.
The function g(x) = x2 is transformed to obtain function h: h(x) = g(x) + 1. Which statement describes how the graph of h is different from the graph of g? A. The graph of h is the graph of g vertically shifted up 1 unit. B. The graph of h is the graph of g horizontally shifted left 1 unit. C. The graph of h is the graph of g vertically shifted down 1 unit. D. The graph of h is the graph of g horizontally shifted right 1 unit. Reset Next
A statement which best describes how the graph of h is different from the graph of g include the following: A. The graph of h is the graph of g vertically shifted up 1 unit.
What is a translation?In Mathematics, the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image or function.
In Mathematics, a horizontal translation to the left is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent a function.In this scenario, the function g(x) = x² is translated upward by 1 units to produce h(x) = g(x) + 1.
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Each new shaded triangle is half the size of the smallest
shaded triangle in the previous step. If the pattern continues,
what percent of the square will be shaded in step 5?
step 1
step 2
step 3
A 96. 9%
B 75. 0%
C 87. 5%
D 92. 7%
Percent of the square will be shaded is 96.9%. Option A -96. 9%
In mathematics, a percentage (from Latin: per centum, "by a hundred") is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used.
Percent is from the Latin adverbial phrase per centum meaning “by the hundred.”
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step 1 : 50%
step 2 : 50% + 25% = 75%
step 3 : 50% + 25% + 12.5% = 87.5%
step 4 : 50% + 25% + 12.5% + 6.25% = 93.75%
step 5 : 50% + 25% + 12.5% + 6.25% + 3.125% = 96.9%
Thus, percent of the square will be shaded is 96.9%. Option A -96. 9%
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Percent of the square that will be shaded is 96.9%. Option A -96. 9%
In mathematics, a percentage (from Latin: per centum, "by a hundred") is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" is also used.
Percent is from the Latin adverbial phrase per centum meaning “by the hundred.”
For the Complete Question with the Diagram, please refer attached image below
step 1 : 50%
step 2 : 50% + 25% = 75%
step 3 : 50% + 25% + 12.5% = 87.5%
step 4 : 50% + 25% + 12.5% + 6.25% = 93.75%
step 5 : 50% + 25% + 12.5% + 6.25% + 3.125% = 96.9%
Thus, the percentage of the square will be shaded is 96.9%. Option A -96. 9%
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POINTS AND BRAINLIEST! IF U ANSWER THIS! :)
Answer:
68%
Step-by-step explanation:
So we had 34 filets and 16 steaks.
We can add these two together to find the total amount of items sold.
[tex]34 + 16 = 50[/tex]
So 50 total, but we're dealing with filets which is at 34
A percentage can be found by dividing 50 and 34
[tex]34\div 50[/tex]
Giving us 0.68, also known as 68%
PLEASE HELP!!!
Begin by graphing the absolute value function, . Then use transformations of this graph to graph the given function.
h(x)=lxl+3
What transformations are needed in order to obtain the graph of h(x) from the graph of f(x)? Select all that apply.
A. Vertical stretch/shrink
B. Horizontal stretch/shrink
C. Reflection about the x-axis
D. Vertical translation
E. Horizontal translation
F. Reflection about the y-axis
The transformation that is needed in order to obtain the graph of h(x) from the graph of f(x) is D. Vertical translation
How to determine the transformationFrom the question, we have the following parameters that can be used in our computation:
f(x) = |x|
h(x) = |x| + 3
Using the above as a guide, we have the following:
h(x) = f(x) + 3
This means that the function f(x) is translated 3 units up to get the function h(x)
See attachnent for the graph
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Evaluate {( 6
7
)
3
}
2 X {( 6
7
)
2 }
2 ÷
36
49
and expre it a a power of 2
Since 4.286766 is closer to 4 than it is to 8, we can write the final result as: 4.286766 ≈ 2²
We can start by evaluating each bracketed expression first:
{(67)3} = 67 * 67 * 67 = 42,949,769
{(67)2} = 67 * 67 = 4489
Next, we evaluate the first part of the expression:
(67)3 * 2 = 42,949,769 * 2 = 85,899,538
Next, we evaluate the second part of the expression:
(67)2 * (67)2 = 4489 * 4489 = 20,067,961
Finally, we divide the result of the first part by the result of the second part:
85,899,538 / 20,067,961 = 4.286766
To express this result as a power of 2, we find the nearest power of 2 and write it in exponential form:
2² = 4
Thus, Since 4.286766 is closer to 4 than it is to 8, we can write the final result as: 4.286766 ≈ 2²
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Since 4.286766 is closer to 4 than it is to 8, we can write the final result as: 4.286766 ≈ 2²
We can start by evaluating each bracketed expression first:
{(67)³} = 67 * 67 * 67 = 42,949,769
{(67)²} = 67 * 67 = 4489
Next, we evaluate the first part of the expression:
(67)³ * 2 = 42,949,769 * 2 = 85,899,538
Next, we evaluate the second part of the expression:
(67)² * (67)² = 4489 * 4489 = 20,067,961
Finally, we divide the result of the first part by the result of the second part:
85,899,538 / 20,067,961 = 4.286766
To express this result as a power of 2, we find the nearest power of 2 and write it in exponential form:
2² = 4
Thus, Since 4.286766 is closer to 4 than it is to 8, we can write the final result as: 4.286766 ≈ 2²
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what is 20 liters increased by 60%?
Therefore , the solution of the given problem of percentage comes out to be 32 liters after 60% increased.
Define percentage.Any value that may be expressed as a fraction of 100 is referred to as a percentage in mathematics. The acronyms "pct.," "pct," or "pc" are also occasionally used. However, the "%" symbol is typically used to denote it. The proportional amount has no dimensions and is flat. Percentages can be viewed as fractions because their numerator is 100. To indicate that a number is a percent, it needs to be followed by the percent symbol (%).
Here,
Given:
=> 20 liters is the given volume
It is increased by 60% ,
then the final volume is :
=> 20 + 60/100 *20
=> 20 + 0.6*20
=> 20 + 12
=> 32 liters
Therefore , the solution of the given problem of percentage comes out to be 32 liters after 60% increased.
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24687abc is divisible by 125. what is the sum of the digits of all possible values of ‘a’?
To find the sum of the digits of all possible values of 'a', we need to add the sum of the digits of each value of abc. The sum of the digits for all possible values of a would be 8 + 7 + 15 + ... + 27, which can be calculated further.
The divisibility rule for 125 states that a number is divisible by 125 if the last three digits are divisible by 125. In the case of 24687abc, we know that the last three digits (abc) must be divisible by 125. This means that abc must be a multiple of 125. The smallest multiple of 125 is 125, and the largest is 999, so the possible values of abc are 125, 250, 375, 500, ..., 999.
The sum of the digits of each possible value of a can be calculated by adding the individual digits of each value of abc. For example, for the value 125, the sum of the digits is 1 + 2 + 5 = 8. For the value 250, the sum of the digits is 2 + 5 + 0 = 7. For the value 375, the sum of the digits is 3 + 7 + 5 = 15.
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(1-1/2).(1-1/3).(1-1/4)...(1-1/20)
Acill
The value of the expression (1 - 1/2) × (1 - 1/3) × (1 - 1/4)...(1 - 1/20) will be 1/20.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ (1 - 1/2) × (1 - 1/3) × (1 - 1/4)...(1 - 1/20)
Simplify the expression, then we have
⇒ (1 - 1/2) × (1 - 1/3) × (1 - 1/4)...(1 - 1/20)
⇒ (1/2) × (2/3) × (3/4)...(19/20)
⇒ 1 / 20
The value of the expression (1 - 1/2) × (1 - 1/3) × (1 - 1/4)...(1 - 1/20) will be 1/20.
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simplify. Express your answer as a single term exponents.
The simplified answer as a single exponent is (122)¹¹.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as follows -
(122)⁴ . (122)⁷
The given expression is -
(122)⁴ . (122)⁷
(122)⁴ ⁺ ⁷
(122)¹¹
Therefore, the simplified answer as a single exponent is (122)¹¹.
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{Complete question -
simplify. Express your answer as a single term exponents -
(122)⁴ . (122)⁷}
A wimming pool i being drained. The number of gallon of water in the pool change with time t according to the equation G = -4t 100
The equation that correctly solves the given equation for t is C) t = (100 - G) / 4
To solve for t in the equation G = -4t + 100, we need to isolate t on one side of the equation. To do this, we start by subtracting 100 from both sides:
G - 100 = -4t + 100 - 100
Simplifying the right side:
G - 100 = -4t
Finally, dividing both sides by -4:
t = (100 - G) / -4
So, option C) t = (100 - G) / 4 correctly represents the equation for t in terms of G.
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Your question is incomplete but most probably the full question was:
A swimming pool is being drained. The number of gallons of water in the pool changes with time t according to the equation G = -4t + 100.
Which equation correctly solves the given equation for t?
A) t = 4G - 100
B) t = -4G + 100
C) t =
100 - G
4
D) t =
G - 100
4
The graph represents a relation where x represents the independent variable and y represents the dependent variable.
What is the domain of the relation?
{−3, −2, −1, 0, 1, 2, 4}
{−3, 0, 1, 4}
{−2, −1, 0, 1, 4}
{−3, −1, 0, 2, 4}
The correct option representing the domain of the relation is given as follows:
{−3, −1, 0, 2, 4}
How to obtain the domain of the relation?The domain of a function is the set that contains all the input values of the function, hence on the graph it is the values of x, representing the number of years.
The values of x are the values of x for which there is a dot, hence they are given as follows:
x = -3.x = -1.x = 0.x = 2.x = 4.Meaning that the fourth option represents the correct option.
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