Answer: N
Step-by-step explanation: The set of natural numbers is represented by the letter “N”. A natural number is a number that occurs commonly and obviously in nature. As such, it is a whole, non-negative number. The set of natural numbers, denoted N, can be defined in either of two ways: N = {0, 1, 2, 3, ...}
Pleaseeeeeee helps meeeeeeee I'd really appreciate it
Answer:
5683200
Step-by-step explanation:
Move the decimal 4 places to the right because [tex]10^4[/tex] has 4 zeros.
i’m begging can someone PLEASE help and hurry i have to turn this in soon
Given the diagram above, which is a combination of three right triangles,
27) m∠DGE = 45°
28) m∠EDG = 85°
29) FD = 10
30) GD = 14
31) EG = 19.
What is the explanation for the above answers?27) m∠DGE = 45°
This is because m∠DGE is an alternate angle to m∠BAD which is = 45°. Recall that alternate angles are congruent.
28) m∠EDG = 85° because it is the vertical opposite of ∠ADC. Note that ∠ADC = 180 - 45 - 50
= 85°
29) and 30)
Given FG=10 and m∠DGE=45°,
FD = √DG² - FG²
Since we don't have FD
We use Cos Rule
GD = FG/cos(α)
GD = 10/Cos 45°
GD = 14.1421356237
GD [tex]\approx\[/tex] 14
Thus,
FD = √14.1421356237312 - 102
FD = √100
FD = 10
31)
EG = EF + 10
EF = √(GD² - FG²
EF = √(14² - 10²)
EF = √80.982478588641
EF = 8.99903
Hence,
EG = 8.99903 + 10
EG [tex]\approx[/tex] 19
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8.5 Refer to Exercises 8.1 and consider the unbiased estimator θˆ that you proposed in Exercise 8.3. a Express MSE(θˆ ) as a function of V(θ)ˆ . b Give an example of a value of a for which MSE(θˆ ) < MSE(θ)ˆ . c Give an example of values for a and b for which MSE(θˆ ) > MSE(θ)ˆ .
After answering the prοvided questiοn, we can cοnclude that Sο, we can equatiοn chοοse values οf a and b such that Cοv(X¯, μ) < (1 − a)/2 σ/n and MSE(θˆ) > MSE(θ), like a = 0.9 and b = 0.5.
What is equatiοn?An equatiοn in mathematics is a prοcedure that affects the equaIity οf equatiοns. Twο sides οf an equatiοn are cοnnected by the algebraic οperatοr (=). Fοr instance, the claim "2x + 3 = 9" asserts that the cοmment "2x + 3" means the value "9" in tοtal. The gοal οf sοlving equatiοns is tο identify the factοr(s) that will cause the equatiοn tο be true.
Equatiοns may be straightfοrward οr cοmplex, cοnstant οr nοn-linear, and cοntain οne οr mοre variables. Examples include raising the variable x tο the pοwer οf 2 in the equatiοn "x² + 2x - 3 = 0," fοr example. In mathematics, particularly in algebra, equatiοns, and geοmetry, lines are frequently used.
MSE(θˆ) = E[(θˆ − θ)²]
= E[((X1 + · · · + Xn)/n − μ²)²]
= E[((X1 − μ) + · · · + (Xn − μ))/n]²
= V[(X1 − μ)/n + · · · + (Xn − μ)/n]
= V[(X1 − μ)/n] + · · · + V[(Xn − μ)/n] (since the Xi's are independent)
Thus, MSE(θˆ) = σ²/n
b. Fοr MSE(θˆ) < MSE(θ), we want:
We can see that this is satisfied fοr any value οf a such that 0 < a < 1.
c. Fοr MSE(θˆ) > MSE(θ), we want:
σ/n > V[(1 − a)X¯ + aμ] = (1 − a)²Var(X¯) + aVar(μ) + 2a(1 − a)Cοv(X¯, μ)
σ²/n > (1 − a)(σ²/n) + 2a(1 − a)Cοv(X¯, μ)
Cοv(X¯, μ) < (1 − a)/2 σ²/n
Sο, we can chοοse values οf a and b such that Cοv(X¯, μ) < (1 − a)/2 σ/n and MSE(θˆ) > MSE(θ), such as a = 0.9 and b = 0.5.
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Jen is studying how years of drought conditions have caused the water level of Richland Reservoir to drop. At the start of the study, the water in the reservoir was 65 meters deep. Jen observed that the depth of the water dropped by about 0.8 meters the first month of the study. She wants to know what the depth of the water will be if it continues dropping at the same rate. You can use a function to approximate the depth of the water in the reservoir x months after the start of the study. Write an equation for the function.
The equation for the function is D(x) = 65 - 0.8x. Where 65 is the initial depth of the water and 0.8x is the amount by which the depth drops after x months.
What is a linear function?
A linear function is a mathematical function that has a constant rate of change or slope between the independent variable (x) and the dependent variable (y). It is a function that can be graphically represented as a straight line.
We can use a linear function to approximate the depth of the water in the reservoir x months after the start of the study, since the depth is dropping at a constant rate of 0.8 meters per month. Let D(x) be the depth of the water in meters x months after the start of the study. Then we have:
D(x) = 65 - 0.8x
where 65 is the initial depth of the water and 0.8x is the amount by which the depth drops after x months.
Therefore, the equation for the function is D(x) = 65 - 0.8x.
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8) find the values of c that satisfy Rolle's Theorem.
SHOW STEPS
Hence the value of c = 4 in [3,5] for Rolles theorem.
Rolle's Principle
If a function f is defined in the closed interval [a, b] in a manner that meets the requirements listed below.
The interval [a, b] is closed and the function f is continuous.
ii) On the open interval, the function f can be differentiated (a, b)
iii) If f (a) = f (b), then at least one value of x exists; in this case, let's assume that this value is c, which is situated between a and b, i.e. (a c b), in such a way that f'(c) = 0.
There exists a point x = c in (a, b) such that f'(c) = 0 if a function is continuous on the closed interval [a, b] and differentiable on the open interval (a, b).
let f(x)=x²-8x+12 in [3,5]
i) f(x) is continuous in closed interval [3,5] because f(x) is algebraic function.
ii) f(x) is differentiable in the open interval (3,5) since the algebraic function is differentiable.
now f(3)=3²-8*3+12
f(3)= 9-24+12
f(3)= -3
f(5) = 25-40+12
f(5)= - 3
f(3) = f(5)
f'(x)= 2x-8
x=c ,c in [3,5]
f'(c)= 2c-8
2c-8=0
c=4
Hence the value of c = 4 in [3,5] for Rolles theorem.
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Given that ABCD is a rhombus, find the value of x. 4 (X +40) A. 75 B. 52 C. 25 D. 46 F. 26
the value of variable x in the rhombus is Option (c) 25.
Definition of a rhombusA parallelogram is a particular instance of a rhombus. opposite sides and angles of the rhombus are parallel and equal. The rhombus has equal-length sides on each side, and its diagonals meet at right angles to form its shape as square. The rhombus is sometimes called as a diamond or rhombus.
Let O be the intersection point of the line AC and the line BD in the rhombus.
This two lines intersect at a 90° angle in the center. ( Property of Rhombus)
∠AOD=90°
According to the question:∠AOD+∠OAD+∠ODA=180° (triangle sum property)
90°+x+x+40°=180°
2x=180°-130°
x=25
Hence the value of x=25.
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James wants to sort the numbers on his teddy bears from greatest to least. After he sorts the numbers. What number would come next?
If James is sorting the numbers on his teddy bears from greatest to least, the number that would come next would depend on the numbers already sorted. For example, if the numbers he has sorted are 9, 5, and 3, then the next number would be 1.
What is sort?Sort is a function used to rearrange items in a list in order of size, value or alphabetically. It is a computer algorithm that sorts a list, typically of numbers, words, or other items, into increasing or decreasing order. It is often used to arrange data so that it can be more easily analyzed or used in other applications. The simplest form of sorting is to take a list of items, compare each item to the items before it, and swap them if they are out of order. This process is repeated until all items are in the correct order. Sorting algorithms are used in many areas of computing, including data structures, artificial intelligence, databases, and programming languages.
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The numbers on teddy bears are sorted as 656, 666, 676, 686. The pattern rule is adding 10 so, the next number will be 696.
Give a brief account on data sorting.Sort is a function used to rearrange items in a list in order of size, value or alphabetically. It is often used to arrange data so that it can be more easily analyzed or used in other calculation. The simplest form of sorting is to take a list of items, compare each item to the items before it, and swap them if they are out of order. This process is repeated until all items are in the correct order.
If James is sorting the numbers on his teddy bears from greatest to least, the number that would come next would depend on the numbers already sorted.
The numbers on teddy bears are sorted as 656, 666, 676, 686.
Now, observe the pattern.
656 + 10 = 666
666 + 10 = 676
676 + 10 = 686
This indicates that the pattern rule is "adding 10", which means the next number in series is:
686 + 10 = 696
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The complete question is as follows:
Mrs lee buys 10 pounds of vegetables to make traditional kimchi. If the cabbages alone weigh 7 pounds, what is the percentage of the weight of the cabbages
Answer:
the answer is 70%
Step-by-step explanation:
if all equals 100% and theres 10 pounds that means 7 pounds is eaqual to 70%
Justin purchased his dream car worth $18500 on a finance for 4 years. He was offered 6% interest rate. Assuming no other charges and no tax, we want to find his monthly installments.
Using simple interest his monthly installments are $1243.38
What is simple interest?The amount on Simple interest is given by A = P(1 + rt) where
P = principal, r = interest rate and t = timeNow, since Justin purchased his dream car worth $18500 on a finance for 4 years. He was offered 6% interest rate. Assuming no other charges and no tax, we want to find his monthly installments.
His installments are his principal. so, making P subject of the formula, we have that
P = A/(1 + rt)
Given that
A = $ 18500r = 6% = 0.06 and t = 4 yearsSubstituting the vales of the variables into the equation, we have
P = A/(1 + rt)
P = $ 18500/(1 + 0.06 × 4)
P = $ 18500/(1 + 0.24)
P = $ 18500/1.24
P = $ 14919.35 per year
To find his monthly installments, we divide P by 12.
So, P' = P/12
= $ 14919.35/12
= $1243.38
So, his monthly installments are $1243.38
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what is the answer of 10.9% of $8.85
Answer:
To find 10.9% of $8.85 we can convert the percentage into a decimal:
10.9% = 0.109
0.109x8.85 = $0.964
=$0.96 (Rounded to 2 decimal places)
Suppose that 14% of the population of the U.S. is left-handed. If a random sample of 190 people from the U.S. is chosen,
approximate the probability that fewer than 25 are left-handed. Use the normal approximation to the binomial with a correction
for continuity.
Round your answer to at least three decimal places. Do not round any intermediate steps.
(If necessary, consult a list of formulas.)
The formula for the normal approximation to the binomial with a correction for continuity is
P(X ≤ x) ≈ Φ(z), where z = (x + ½ - μ)/σ
In this case, μ is the expected number of left-handed people in the sample, which is 0.14*190 = 26.6
σ is the standard deviation of the sample, which is (0.14*(1-0.14))^0.5*190 = 5.58
x is the desired number of left-handed people in the sample, which is 24.5 (since fewer than 25)
Therefore, z = (24.5 + ½ - 26.6)/5.58 = -1.03
The probability that fewer than 25 people in the sample are left-handed is then Φ(-1.03) = 0.1545, to at least 3 decimal places.
Ricardo took out a single payment loan for $2500 at 7.8% ordinary interest to pay his federal income tax bill. Find the maturity value of the loan if he had to pay it back after 180 days.
Answer:
Therefore, the maturity value of the loan is $2568.75.
Step-by-step explanation:
To calculate the maturity value of the loan, we need to add the interest to the principal.
First, we need to find out how much interest Ricardo will owe for the 180-day period.
The formula for calculating ordinary interest is:
Interest = Principal x Rate x Time
where:
Principal = $2500
Rate = 7.8% = 0.078 (expressed as a decimal)
Time = 180/360 (since the interest is for a 180-day period and the rate is an annual rate)
Time is expressed as a fraction of a year because the rate is an annual rate. In this case, the time is 180/360 because the loan is for 180 days, which is half of a year.
Using the formula above, we can calculate the interest as follows:
Interest = $2500 x 0.078 x 180/360 = $68.75
Therefore, Ricardo will owe $68.75 in interest for the 180-day period.
To find the maturity value of the loan, we add the interest to the principal:
Maturity Value = Principal + Interest = $2500 + $68.75 = $2568.75
Therefore, the maturity value of the loan is $2568.75.
Leo says that the product n x 4/5 is greater than 4/5 because multiplication always increases a number. Which of the following values for n shown that Leo is incorrect?
a. 2
b. 7/6
c. 5/8
d. 5/4
e. 6/6
Answer: Let's plug in each value for n and compare the results:
a. n = 2
2 x 4/5 = 8/5 which is greater than 4/5.
b. n = 7/6
7/6 x 4/5 = 28/30 which simplifies to 14/15 which is greater than 4/5.
c. n = 5/8
5/8 x 4/5 = 20/40 which simplifies to 1/2 which is less than 4/5.
d. n = 5/4
5/4 x 4/5 = 20/20 which simplifies to 1 which is greater than 4/5.
e. n = 6/6
6/6 x 4/5 = 24/30 which simplifies to 4/5.
Therefore, the answer is (c) 5/8, which shows that Leo is incorrect. In this case, the product is less than 4/5.
D) what is the domain and range of the graphed function?
E) Isabel’s competition, who sells books and no other products, charges a shipping fee of $1.99 per book plus a fixed fee of $3 for each order. Let x be the number of books purchased and f(x) be the price of shipping one order of books. Write a function that expresses f(x) and explain the value of f(x) for x = 0.
F) graph the function in part e
G) is your graph discrete or continuous? Explain.
The function that expresses f(x) is f(x) = 1.99x + 3, and its graph is continuous.
What is a Continuous Function?A continuous function is one that doesn't have any sudden or unexpected changes in value. It means that if we make small enough changes to its input, the output will also change by a small amount.
We can express the total cost of an order as a function of the number of books sold, x, using the formula:
f(x) = 1.99x + 3
This function takes the number of books sold, multiplies it by the cost per book ($1.99), and adds a fixed fee of $3.
For example, if we sold 3 books, we can use the function to find the total cost:
f(3) = 1.99(3) + 3 = 9.97
This means that selling 3 books would cost $9.97 in total.
The graph of this function is continuous, which means that as we move along the x-axis, the y-values change smoothly and without any sudden jumps.
The term "continuous" refers to a function that can take on any value between two given points and can be broken down into infinitely many fractions and decimals.
In contrast, a discrete function can only take on specific values, usually whole numbers or integers.
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Which function represents the reflection over the x-axis of f(x)=√x?
8
814
4
-4
do &
4
8
8
4
814
4
do £
O
1100
4 8
x
0
-1
-2
-4
y
0
-1
-1.41
-2
x
0
1
2
4
y
0
-1
-1.41
-2
Answer: 32 and 43
Step-by-step explanation:
which describes a quadrilateral
Answer: any shape with four sides
Step-by-step explanation:
Answer: 4 sides
Step-by-step explanation: The only qualification for a shape to be called a quadrilateral is that it has 4 sides
Hope this helps :)
The scatter plot shows the resale value of the same make
and model car and the age of the car in years. Predict the
price you would pay if you purchase one of these cars that
is 9.5 years old.
9.Weights of the NBA’s Top 50 Players Listed are the weights of the NBA’s top 50 players. Construct a grouped frequency distribution and a cumulative frequency distribution with 8 classes. Analyze the results in terms of peaks, extreme values, etc.
Frequency Distribution Table is down below.
Class Count Cumulative Frequency Table
160 - 180 3 3
181 - 201 5 8
202 - 222 14 22
223 - 243 14 36
244 - 264 10 46
265 - 285 2 48
286 - 306 1 49
307 - 327 1 50
Total 50 100
How to explain the distributionHere its peak is in between 202 to 243 frequency range. There are three extreme values that are 270, 295 and 325 pounds weight.
Median lies in the interval 223-243 and mean also lies in that interval. Maximum values lies in between 200 - 225 interval.
The distribution is left skewed.
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A cube has edges measuring 7 inches each find the volume
The volume of the cube of 7 inches when calculated is 343 cubic inches
Calculating the volume of the cubeA cube is a three-dimensional solid figure that has six faces, each of which is a square.
All the edges of a cube are of equal length. In this case, each edge of the cube measures 7 inches.
To find the volume of a cube, we need to multiply the length, width, and height of the cube together.
Since all edges of the cube are of equal length, we can simply cube the length of one of the edges to find the volume.
Therefore, the volume of this cube is calculated by multiplying the length of one edge by itself three times:
Volume = 7 x 7 x 7 = 343 cubic inches.
So, the volume is 343 cubic inches.
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Find the value of x and y in circle A.
The value of x and y Iis, x = y = [tex]35^{0}[/tex]
Here O is the center of the circle.
According to the central angle theorem, the angle subtended by an arc is always half of its central angle.Understand the problem and draw a diagram: Read the problem statement carefully and try to understand the given information, what is asked and any given constraints. Then, draw a diagram of the circle and label any given variables, angles or lengths.
Identify the relevant circle properties: Recall the properties of circles such as the radius, diameter, circumference, and central angle. You may need to use these properties to solve the problem.
Use equations and formulas: Depending on the information given and what is asked, you may need to use equations and formulas to find the values of x and y. These formulas may include the Pythagorean theorem, trigonometric ratios, or circle equations such as the equation for the circumference or area of a circle.
Simplify and solve the equations: Simplify the equations and solve for the unknown variables, using algebraic techniques. Remember to show all steps of your working and check your answers for accuracy.
Verify your answer: Once you have found the values of x and y, check your solution to ensure that it satisfies any given constraints or conditions and makes sense in the context of the problem.
Let the Central angle of arc AB is [tex]70^{0}[/tex]
∠ACB and ∠ADB are subtended by the arc AB.
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can i please get some help with this it is math
Answer:
C) Pi
Step-by-step explanation:
Pi is an irrational number, it cannot be written down as non-infinite decimal, basically meaning that in order for it to be a rational number you need an approximate value for Pi.
Anyone Want to Give me 6th Grade Inequalities?
Reward- Brainliest and 10 Tokens
Answer:
3x + 4 < 13
2y - 5 > 7
6n - 1 ≤ 23
8m + 2 ≥ 18
4a - 7 < 5a + 2
9b + 3 > 6b + 10
Step-by-step explanation:
I dunno if this is what you're asking for
Answer:
ok.....
x + 2 < 5
|x - 4| > 4
x + 7 [tex]\geq[/tex] 8
-x < -5
x - 5 < 9
5x + 18 > 2
|3x - 1| < 8
Graph Set A: {(c,y):y>2x^2+5x-3
5.7. Suppose n = 2911 and e = 11. Encrypt the following messages as in
Example (5.3).
a) "OK"
b) "HELP" (Break this up into two blocks.)
Note that,
the encrypted message for "OK" is the pair of numbers (616, 2385).
and the final encrypted message for "HELP" is the sequence of numbers (738, 1277, 1479, 2252).
To encrypt a message using RSA, we need to first represent the message as numbers using a suitable encoding scheme. For simplicity, we can use the ASCII code for each character, which is a standard encoding scheme for text.
a) To encrypt "OK", we first convert each letter to its corresponding ASCII code:
"O" = 79
"K" = 75
Next, we use the RSA encryption formula:
C ≡ [tex]M^{e}[/tex] (mod n)
For "O", we have C ≡ 79¹¹ (mod 2911) ≡ 616 (mod 2911)
For "K", we have C ≡ 75¹¹ (mod 2911) ≡ 2385 (mod 2911)
Therefore, the encrypted message for "OK" is the pair of numbers (616, 2385).
b) To encrypt "HELP", we break it up into two blocks:
Block 1: "HE"
Block 2: "LP"
For block 1, we have:
"H" = 72
"E" = 69
Using the RSA encryption formula, we get:
C1 ≡ 72¹¹ (mod 2911) ≡ 738 (mod 2911)
C2 ≡ 69¹¹ (mod 2911) ≡ 1277 (mod 2911)
Therefore, the encrypted message for "HE" is the pair of numbers (738, 1277).
For block 2, we have:
"L" = 76
"P" = 80
Using the RSA encryption formula, we get:
C3 ≡ 76¹¹ (mod 2911) ≡ 1479 (mod 2911)
C4 ≡ 80¹¹ (mod 2911) ≡ 2252 (mod 2911)
Therefore, the encrypted message for "LP" is the pair of numbers (1479, 2252).
The final encrypted message for "HELP" is the sequence of numbers (738, 1277, 1479, 2252).
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Question content area top
Part 1
In a certain country, the true probability of a baby being a boy is 0.538. Among the next seven randomly selected births in the country, what is the probability that at least one of them is a girl?
The probability that at least one of the seven next births in the country is a girl is 0.992, or 99.2%.
How to Calculate Probability?The probability of a baby being a boy is 0.538, which means that the probability of a baby being a girl is:
P(girl) = 1 - P(boy) = 1 - 0.538 = 0.462
The probability of at least one of the seven next births being a girl is the complement of the probability that all seven are boys. The probability that a single birth is a boy is 0.538, so the probability that all seven births are boys is:
P(all boys) = (0.538)^7 = 0.008
Therefore, the probability of at least one of the seven next births being a girl is:
P(at least one girl) = 1 - P(all boys) = 1 - 0.008 = 0.992 (99.2%)
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3x-4+2x+6+x=
write and solve an equation to find x
Answer:
x=-1/3
Step-by-step explanation:
3x-4+2x+6+x=0
6x+2=0
6x=-2
x=-2/6
x=-1/3
these 3 How 5. Cindy loves candy. She bought 3 candy bars and paid 9% in taxes. The cost of the candy bars are shown in the chart. How much money did she pay the cashier in total? Round your answer to the hundredths place. Giant Kit Kat $3.59 Mini Snickers $0.75 Twix TENDO $1.99
Cindy paid the cashier a total of $6.90 for the three candy bars, including taxes.
What is expression ?
Expressions can be used to represent various mathematical concepts and relationships, and they are used extensively in algebra, calculus, and other branches of mathematics.
To calculate the total cost of the candy bars with taxes, we need to first find the cost of each candy bar and then add up all three costs.
The cost of the Giant Kit Kat is $3.59, but we need to add 9% tax to get the total cost:
$3.59 + 0.09($3.59) = $3.91 (rounded to the nearest cent)
The cost of the Mini Snickers is $0.75, but we need to add 9% tax to get the total cost:
$0.75 + 0.09($0.75) = $0.82 (rounded to the nearest cent)
The cost of the Twix TENDO is $1.99, but we need to add 9% tax to get the total cost:
$1.99 + 0.09($1.99) = $2.17 (rounded to the nearest cent)
Now we can add up the total cost:
$3.91 + $0.82 + $2.17 = $6.90
Therefore, Cindy paid the cashier a total of $6.90 for the three candy bars, including taxes.
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3 A truck delivered 48 cases of drinks to a gas station. Each case contained 24
drinks. The drinks were placed in rows in the cooler. There were 16 drinks in each
row. Which equation can be used to find r, the number of rows the drinks were
placed in?
€ 48 + 16 + 24 = r
18 x 21 +16=r
Answer: A 48 x 24/16 = r
Step-by-step explanation:
48 x 24 = the total number of drinks
Since there are 16 drinks in each row you want divide to get the number of rows in each drink.
Ex: 48 x 24= 1,152 (total drinks)
16 drinks in a row
1,152/16 = 72
72 rows
3. days B) 5 days C) 4 days A can do a certain work in 15 days and B can do same work in 18 days. They work together but A had left the work after some days, and B finished the remaining work in 7 days. After how many days A had left the work?
A left the work after 3 days was solved by using work formula.
What is algebraic equation?An algebraic equation is a mathematical statement that asserts that two expressions are equal. These expressions can contain variables, which are represented by letters, and the equation states that the values of the expressions are equal for some particular values of the variables.
What is work formula?The work formula is a mathematical concept used to determine how long it will take two or more workers to complete a job together. The formula is based on the idea that the amount of work done is directly proportional to the time spent working.
In the given question,
Let's assume that A worked for x days, and therefore he left the work unfinished for (15 - x) days. During this time, B finished the remaining work in 7 days.
According to the work formula, the amount of work done by A and B together in one day is:
1/15 + 1/18 = 11/90
This means that in one day, they can complete 11/90th of the work together.
During the x days when A worked, the amount of work he did is:
x * (11/90)
And during the remaining (15 - x) days, the amount of work left undone is:
(15 - x) * (11/90)
When A left, B completed the remaining work in 7 days, so we can set up an equation:
(11/90) * 7 = (15 - x) * (11/90)
Simplifying and solving for x, we get:
x = 3
Therefore, A left the work after 3 days.
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Solve by the substitution method. (If there is no solution, enter NO SOLUTION. Use the parameters x and y as necessary.)
2x − 4y = 40
−x + 2y = −20
(x, y) =
The solution to the system of equations 2x - 4y = 40 and -x + 2y = -20 is infinitely many solutions. The solution can be expressed as (x, y) = (2y + 20, y), where y can be any real number.