Answer:
Sum of all edges of a cube = 36 cm
Length of one edge = 36/12 = 3 cm
Volume of a cube = edge X edge X edge
= 3 cm X 3 cm X 3 cm
= 27 cubic cm
The volume of the cube is 27 cubic cm
Step-by-step explanation:
Your weekly net income is $380. Your total budgeted monthly expenses $1. 550,00. Do you have a surplus or deficit balance at the end of the month?
We will have a Deficit balance of $30 at the end of the month.
"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."
Weekly net income = $380
Monthly net income = $380 * 4 weeks = $1520.
Monthly expenses = $1550
Balance = Monthly income - monthly expenses = $-30.
The negative sign shows a deficit of $30 monthly
Therefore, We will have a Deficit balance of $30 at the end of the month.
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plz help 20 points pllllllllllllllllllllllz help mee asap
Answer:
b=4 c=7
Step-by-step explanation:
I think not positive
Answer:
453+557 = 1010
hence b is 5 and c is 3
given a function f : a → b and subsets w, x ⊆ a, then f (w ∩ x) = f (w)∩ f (x) is false in general. produce a counterexample.
Therefore, f(w ∩ x) = {0} ≠ f(w) ∩ f(x), which shows that the statement f(w ∩ x) = f(w) ∩ f(x) is false in general.
Let's consider the function f: R -> R defined by f(x) = x^2 and the subsets w = {-1, 0} and x = {0, 1} of the domain R.
f(w) = {1, 0} and f(x) = {0, 1}, so f(w) ∩ f(x) = {0}.
On the other hand, w ∩ x = {0}, and f(w ∩ x) = f({0}) = {0}.
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Which decimal is greater than 0.15 and less than 0.7?
A. 0.81
B. 0.56
C. 0.76
D. 0.005
Answer:
D.? confused
Step-by-step explanation:
Q: Which decimal is greater than 0.15 and less than 0.7?
A. 0.81
B. 0.56
C. 0.76
D. 0.005 A: I think it is B. and I think it is not D.
Point B lies on a number line between points A and C. The coordinate of A is -9 and the coordinate of C is 12. The distance between A and B is 1/3 of AC. What is the coordinate of B? Write you answer as a number.
Relating the coordinates, it is found that the coordinate of B is -2.
-----------------------
The coordinate of A is -9.The coordinate of B is x.The coordinate of C is 12.The distance between A and B is: \(x - (-9) = x + 9\)The distance of A and C is: \(12 - (-9) = 12 + 9 = 21\)The distance between A and B is 1/3 of AC, thus:
\(x + 9 = \frac{21}{3}\)
\(x + 9 = 7\)
\(x = -2\)
The coordinate of B is -2.
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Given f(x) = 3x^2 - 6x + 2 find f(3)
HELP PLEASE ‼️‼️‼️
Answer: 47
Step-by-step explanation:
You simplify it giving you 47
Answer:
f(3)=11
Step-by-step explanation:
3(3)^2=27
-6(3)=-18
27-18+2=11
Check whether
(
−
3
,
−
2
)
is a solution to the system, then choose all true statements from the list.
Equation 1:
−
7
x
−
4
y
=
29
Equation 2:
3
x
=
−
7
+
y
Group of answer choices
The point satisfies both equation 1 and 2
The point satisfies only equation 2
The point is not a solution to the system
The point satisfies only equation 1
The point does not satisfy either equation
The point is a solution to the system
The point satisfies both equation 1 and 2" and "The point is a solution to the system.
What do you mean by equation?An equation is a mathematical statement that shows the equality of two expressions. Equations can be used to represent relationships between variables and to solve problems. They are written using an equal sign (=) and can include numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.
For example, the equation 2x + 3 = 7 is an equation that states that the expression on the left side (2x + 3) is equal to the expression on the right side (7). The goal is to find the value of the variable x that satisfies the equation. In this case, x = 2 is a solution to the equation.
To check whether a point is a solution to a system of equations, we can substitute the values of the variables into the equations and see if the resulting expressions are equal.
So, for the point (-3, -2), we can substitute these values into the equations:
Equation 1: -7x - 4y = 29
Substituting x = -3 , y = -2:
-7(-3) - 4(-2) = 29
21 + 8 = 29
29 = 29
Equation 2: 3x = -7 + y
Substituting x = -3 , y = -2:
3(-3) = -7 + (-2)
-9 = -9
Since both equations are true, the point (-3, -2) satisfies both equation 1 and 2, and is a solution to the system.
Therefore, the true statement from the list is "The point satisfies both equation 1 and 2" and "The point is a solution to the system".
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EOQ Model
Suppose during your college life, every year you need $5,000 cash to spend in addition to the studying expenses. Each time in need of cash, you decide to go to the bank for that. And the transportation costs you $5 (assumed amount) of going to the bank and coming back. Assume that the current saving/checking link account has an interest rate of 5%. Please find the optimal solution of the amount of cash each time for the withdraw.
The optimal solution for the amount of cash to withdraw each time to minimize transportation costs and maximize interest earnings is determined by calculating the Economic Order Quantity (EOQ) using the formula Q = √((2 * C * T) / r), and rounding the result to a convenient amount.
The Economic Order Quantity (EOQ) model is typically used for inventory management, not for optimizing cash withdrawals. However, if we assume that the question is seeking an optimal withdrawal strategy to minimize transportation costs and maximize interest earnings, we can approach it as follows:
Let's denote:
C = Annual cash need ($5,000)
T = Transportation cost per visit ($5)
r = Annual interest rate (5%)
To find the optimal solution for the amount of cash to withdraw each time, we can consider the trade-off between transportation costs and interest earnings. The objective is to minimize the total cost.
Calculate the optimal order quantity (Q) using the EOQ formula:
Q = √((2 * C * T) / r)
Round the calculated Q to the nearest convenient amount, such as multiples of $100 or $500.
The optimal solution would be to withdraw the rounded Q amount each time to minimize transportation costs while still meeting the annual cash need.
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Bookmarks are on sale at a store: buy 4, get 1 free! A teacher
bought 47 bookmarks for their students. If each bookmark
costs $1.30, how much did the teacher spend on bookmarks?
LA
Enter the answer
Answer:
Step-by-step explanation:
$52.00
Simplify (5.1)(5.12)4.
(5.1)6
(5.1)7
(5.1)8
(5.1)9
The simplified expression of (5.1)(5.1^2)^4 is (5.1)^9
How to simplify the expression?The expression is given as:
(5.1)(5.12)4
Rewrite the expression properly as follows:
(5.1)(5.1^2)^4
Rewrite the expression properly as follows:
(5.1)(5.1^2)^4 = (5.1) * (5.1^2)^4
Apply the power law of indices
(5.1)(5.1^2)^4 = (5.1) * (5.1^8)
Apply the power law of indices
(5.1)(5.1^2)^4 = (5.1)^(1 + 8)
Evaluate the sum
(5.1)(5.1^2)^4 = (5.1)^9
Hence, the simplified expression of (5.1)(5.1^2)^4 is (5.1)^9
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Calculate Ocean Freight charges in Canadian dollar
We have a shipment of two different cargos;
2 skids of Apple, 100 cm x 100 cm x 150 cm, 400 kg each
3 boxes of Orange, 35" x 25" x 30" , 100 kg each
Ocean freight rate to Mumbai: $250 USD / m3
1 USDD= 1.25 CND
1 m3=1000 kg
To calculate the ocean freight charges in Canadian dollars, we need to determine the volume of each cargo and convert the volume to cubic meters (m³) since the ocean freight rate is given in USD per m³.
Calculate the volume of each cargo: Skid of Apple: Volume = length x width x height = 100 cm x 100 cm x 150 cm = 1,500,000 cm³. Box of Orange: Volume = length x width x height = 35" x 25" x 30" = 26,250 in³. Convert the volumes to cubic meters: Skid of Apple: 1,500,000 cm³ ÷ (100 cm/m)³ = 1.5 m³. Box of Orange: 26,250 in³ ÷ (61.0237 in/m)³ ≈ 0.43 m³. Calculate the total volume of both cargos: Total Volume = (2 skids of Apple) + (3 boxes of Orange) = 1.5 m³ + 0.43 m³ = 1.93 m³. Convert the ocean freight rate from USD to CAD: Ocean Freight Rate in CAD = $250 USD/m³ × (1.25 CAD/USD) = $312.50 CAD/m³.
Calculate the ocean freight charges in Canadian dollars: Ocean Freight Charges = Total Volume × Ocean Freight Rate = 1.93 m³ × $312.50 CAD/m³. Therefore, the ocean freight charges for the given shipment in Canadian dollars will be the calculated value obtained in step 5.
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Your planing to invest $500 at 12% compounded annually how much money would you have after 10years
Feb 03, 11:54:47 PM
Solve for the value of n.
(n+6°
(2n+3)
Bu
Answer: n =
Submit Answer
attempt 1 out of 2
Help
Step-by-step explanation:
the sum of all the angles is 180° as it is a straight line.
so,
n + 6 + 90 + 2n + 3 = 180
3n + 99 = 180
3n = 180 - 99 = 81
n = 81/3 = 27
n = 27°
therefore, value of n is 27°.
hope this helps you !
What is the value of p?
Answer:
Step-by-step explanation:
Help if you can thank you
Answer:
D $175
Step-by-step explanation:
PLEASE HELP URGENT!!!!
The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expected population of each country in 2025, assuming their annual growth rates remain steady.
Answer:
Australia will have about 27 million
China will have about 1.41 billion
Mexico will have 133.35 million
Zaire will have about 100.9 million
Australia 2000 19,169,200 multiply your growth rate by 2 then divide it by your population your growth rate
China 1.2 billion in 2000 multiply your growth rate by 2 then divide it by your population your growth rate
Same for Mexico
and Zaire
Which equation represents a tangent function with a domain of all Real numbers such that x is not equal to pi over 4 plus pi over 2 times n comma where n is an integer?
The equation representing this function is y = tan(x)
The equation which represents a tangent function with a domain of all real numbers such that x is not equal to pi over 4 plus pi over 2 times n comma where n is an integer is:y = tan(x)The tangent function is one of the six trigonometric functions, which is abbreviated as tan. The inverse of the cotangent function is the tangent function. It is also referred to as the inverse tangent, arctan, or tan^-1.
It is defined by the ratio of the opposite side to the adjacent side of a right triangle. The tangent function is a periodic function with a period of π radians or 180°. Its value alternates between negative and positive infinity over each period.The tangent function is not defined at odd multiples of π/2, that is, (2n+1)π/2 for all integers n. This is because the denominator in the tangent function becomes zero, causing a vertical asymptote.
For example, the values of the tangent function for π/2, 3π/2, 5π/2, etc. are undefined. Therefore, the domain of the tangent function is all real numbers except for odd multiples of π/2. The notation for the domain is (-∞, -π/2) U (-π/2, π/2) U (π/2, 3π/2) U (3π/2, ∞).However, in this case, the domain is all real numbers except π/4 + nπ/2, where n is any integer.
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A store sells memory cards for $25 each.
a. The markup for each memory card is 25%. How much did the store pay for 50 memory cards?
The store paid __
.
Question 2
b. The store offers a discount when a customer buys two or more memory cards. A customer pays $47. 50 for two memory cards. What is the percent of discount?
The percent of discount is __
Question 3
c. How much does a customer pay for three memory cards if the store increases the percent of discount in part (b) by 2%?
The customer pays __
Answer:
1. $937.5
2. 5%
3. $46.50
Step-by-step explanation:
Question 1:
1. 25% of 25 is 6.25. To find how much the store paid for each memory card, we subtract 6.25 from 25 to get 18.75.
2. Now that we know how much the store paid for each memory card, all we have to do is multiply that value by 50. 18.75*50=937.5
Question 2:
1. Subtract the price from the original price. 50-47.5=2.5
2. Divide this number by the original price. 2.5/50=0.05
3. Multiply this number by 100. 0.05*100=5, so the discount was 5% off.
Question 3:
1. The percent of discount in part be was 5%, so adding 2% would equal a 7% discount.
2. 7% of 50 (the original price) is 3.5. 50-3.5=46.5, so the customer would pay $46.50
Evaluate the following expression: \[ 1.723 \times 10^{2}+7.38 \times 10^{3} \] Type answer:
The sum of expression \(1.723 \times 10^{2}\) and \(7.38 \times 10^{3}\) is \(7.5523 \times 10^{3}\). The numbers in scientific notation are added by summing the coefficients while keeping the exponent unchanged.
In scientific notation, numbers are expressed as a coefficient multiplied by a power of 10. To add numbers in scientific notation, we need to ensure that the powers of 10 are the same.
In this case, both numbers are already in scientific notation with powers of 10. We can directly add the coefficients while keeping the exponent the same.
Adding \(1.723 \times 10^2\) and \(7.38 \times 10^3\) gives us a sum of \(7.5523 \times 10^3\). The coefficient represents the numerical value, and the power of 10 indicates the magnitude.
Thus, the expression \(1.723 \times 10^2 + 7.38 \times 10^3\) evaluates to \(7.5523 \times 10^3\), indicating a significant increase in magnitude compared to the individual numbers.
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Find two integers whose sum is -23 and product is 132
Step-by-step explanation:
Let x and y be two integers
x * y = 132
x + y = -23
x= -23 - y
y(-23 - y) = 132
-23y - y^2 = 132
y^2 +23y + 132 = 0
(y + 11) (y + 12) = 0
y = -11 or - 12
If y = -11 then x + (-11) = -23 -> x = -12
If y = -12 then x + (-12) = -23 -> x = -11
So the two integers are -11 and -12
Evaluate 5^−4. Write your answer as a fraction in simplest form.
Can you please help me on this?
Answer:
Step-by-step explanation:
5^-4 remember that a^-b=1/a^b
5^-4=1/5^4=1/625
PLEASE HELP!! look at the image below
Answer:
A right 4 down 5
Step-by-step explanation:
counting the grid spaces from any point for example R and going to the point R' (R prime) will give you the translation
Can somebody help me
Answer:
15,000
Step-by-step explanation:
15×1000
Answer:
Look at the solution I gave properly. Not only the answer.
. What is the slope of the following line: x=-4 *
a.0
b. undefined
c.-4
d.1
Answer:
undefined
..................
question 4 a data analyst creates a scatterplot with a lot of data points. it is difficult for the analyst to distinguish the individual points on the plot because they overlap. what function could the analyst use to make the points easier to find?
The analyst could use the geom_jitter() function to make the points easier to find.
It is difficult for the analyst to distinguish the individual points on the plot because they overlap.
In this question we have been given a data analyst creates a scatterplot with a lot of data points. It is difficult for the analyst to distinguish the individual points on the plot because they overlap.
We need to find a function that could the analyst use to make the points easier to find.
We know that overplotting is caused due to discreteness in smaller datasets.
A function geom_jitter() adds a small random variation to the location of each point, which is a useful way of handling overplotting.
Whereas the function geom_point() adds a layer of points to given plot, which creates a scatterplot.
Therefore, geom_jitter() make the points easier to find.
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The analyst could use the geom_jitter() function to make the points easier to find.
It is difficult for the analyst to distinguish the individual points on the plot because they overlap.
In this question we have been given a data analyst creates a scatterplot with a lot of data points. It is difficult for the analyst to distinguish the individual points on the plot because they overlap.
We need to find a function that could the analyst use to make the points easier to find.
We know that overplotting is caused due to discreteness in smaller datasets.
A function geom_jitter() adds a small random variation to the location of each point, which is a useful way of handling overplotting.
Whereas the function geom_point() adds a layer of points to a given plot, which creates a scatterplot.
Therefore, geom_jitter() makes the points easier to find.
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Write the equation of the line in slope-intercept form.
It has a coefficient of m = -1 and passes through the point (9, 4).
Answer:
y=-x+13
Step-by-step explanation:
m=-1
m is slope
point is (9, 4)
first use point slope equation
y-y1=m(x-x1)
y-9=-1(x-4)
distribute
y-9=-x+4
isolate the y variable
y=-x+13
Drag values to complete each equation.
From power rules, the equation \((x^2)^{-2}+x^4*x^5\) is represented by \(\frac{1}{x^4} +x^9\) and the \(\frac{x^2}{x^4} -(x^2)^2\) is represented by \(\frac{1}{x^2} -x^4\).
Power RulesKnowing some of the main power rules.
Multiplication with the same base: you should repeat the base and add the exponents.Division with the same base: you should repeat the base and subtract the exponents.Power. For this rule, you should repeat the base and multiply the exponents.Exponent negative - For this rule, you should write the reciprocal number with the exponent positive.Zero Exponent. When you have an exponent equal to zero, the result must be 1.For solving this question, you should identify which power rules you will apply and after that solve the expression.
The question gives two algebraic expressions.
(1) \((x^2)^{-2}+x^4*x^5\)
(2) \(\frac{x^2}{x^4} - (x^2)^2\)
Equation 1 - \((x^2)^{-2}+x^4*x^5\)The rules that you will be applied are: multiplication, power and exponent negative.
\((x^{-4})+x^9\)= \(\frac{1}{x^4} +x^9\)
Equation 2 - \(\frac{x^2}{x^4} -(x^2)^2\)The rules that you will be applied are: division, power and exponent negative.
\(\frac{x^2}{x^4} -(x^2)^2=x^{-2}-x^4=\frac{1}{x^2} -x^4\)
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8x+4y=-3y
32+2y=7x-42
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
The equation that has the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p are as follows;
2.3p – 10.1 = 6.49p – 4 230p - 1010 = 649p - 400How to rewrite an equation?2.3p – 10.1 = 6.5p – 4 – 0.01p
The equation that has the same solution as above can be found as follows;
2.3p – 10.1 = 6.5p – 4 – 0.01p
combine like terms
2.3p – 10.1 = 6.5p – 0.01p - 4
2.3p – 10.1 = 6.49p – 4
Multiply through by 100.
Therefore,
230p - 1010 = 649p - 400
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. suppose a1, a2,... an are sets in some universal set u, and n ≥ 2. prove that a1 ∪ a2 ∪··· ∪ an = a1 ∩ a2 ∩··· ∩ an.
Every element that belongs to the union of the sets also belongs to the intersection of the sets, and vice versa. Therefore, the union and the intersection of the sets are equivalent.
To prove that a1 ∪ a2 ∪ ... ∪ an = a1 ∩ a2 ∩ ... ∩ an, we need to show that every element that belongs to the union of the sets also belongs to the intersection of the sets, and vice versa.
First, let's consider an element x that belongs to the union of the sets, i.e., x ∈ (a1 ∪ a2 ∪ ... ∪ an). By definition, this means that x belongs to at least one of the sets a1, a2, ..., or an. Without loss of generality, let's assume that x belongs to the set a1. Therefore, x ∈ a1.
Now let's consider the intersection of the sets, i.e., x ∈ (a1 ∩ a2 ∩ ... ∩ an). By definition, this means that x belongs to all of the sets a1, a2, ..., and an. Since we have already established that x ∈ a1, it follows that x also belongs to the intersection of the sets.
Therefore, we have shown that if x belongs to the union of the sets, it also belongs to the intersection of the sets.
Next, let's consider an element y that belongs to the intersection of the sets, i.e., y ∈ (a1 ∩ a2 ∩ ... ∩ an). By definition, this means that y belongs to all of the sets a1, a2, ..., and an. Since y belongs to all of the sets, it follows that y must belong to at least one of the sets a1, a2, ..., or an.
Therefore, y ∈ (a1 ∪ a2 ∪ ... ∪ an).
Hence, we have shown that if y belongs to the intersection of the sets, it also belongs to the union of the sets.
In conclusion, we have proven that a1 ∪ a2 ∪ ... ∪ an = a1 ∩ a2 ∩ ... ∩ an.
This result holds for any number of sets, as long as n ≥ 2. It is a fundamental property of set theory and is known as the "duality of union and intersection."
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