The values in the left column are 2:5 the values in the right column, and the last value in the left column is retained if another row is added would be 55 and the last value in the right column would be 22, making option A the only correct choice.
Based on the given information, the ratio of the values in the left column to the values in the right column is 2:5. This means that for every 2 in the left column, there are 5 in the right column.
The last value in the left column of the multiplication chart would be 55, and the last value in the right column would be 22. This information can be used to eliminate options B and D, as they provide different values for the last entries in the columns.
Therefore, the correct answer is either A or C. However, we can also see that option C contradicts the given information about the last values in the columns. Thus, the only option that is consistent with all of the given information is A.
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What is the surface area of the right rectangular prism, in square feet?
Answer:
2((7)(9) + (7)(10) + (9)(10)) = 2(63 + 70 + 90)
= 2(223) = 446 square feet
Consider the function:
f(x) = 7/2+ 2x, x less-than-or-equal-to -1
2nd row -5 + 3x Over 2, -1 less-than x less-than
3 Third row one-fourth x, 2nd column x greater-than-or-equal-to 3.
What are these values?
f(−3) =
f(−1) =
f(3) =
Answer: f(−3) = -5/2
f(−1) = -5/2
f(3) = 3/4
Step-by-step explanation: For x ≤ -1, we have:
f(x) = 7/2 + 2x
For x = -3, we have:
f(-3) = 7/2 + 2(-3)
f(-3) = 7/2 - 6
f(-3) = -5/2
For x = -1, we have:
f(-1) = -5 + 3(-1)/2
f(-1) = -5/2
For -1 < x < 3, we have:
f(x) = -5 + 3x/2
For x = 3, we have:
f(3) = 1/4 (3)
f(3) = 3/4
Plot 7/10 and 1 1/5 on the number line below.
We can plot 7/10 as 0.7 and 1(1/5) as 1.2 on the number line.
We have,
To plot 7/10, we need to divide the number line into 10 equal parts and then count 7 parts starting from 0.
We can label this point as 7/10.
To plot 1(1/5), we first note that 1 is to the left of the 1/5 mark on the number line.
We can divide the section between 0 and 1/5 into 5 equal parts and count 1 part starting from 0.
Then, we can move to the left of 1 and count 1 more part starting from the 1/5 mark.
We can label this point as 1(1/5).
Alternatively,
We can convert 1 1/5 to an improper fraction first:
1 (1/5) = (5 x 1 + 1) / 5 = 6/5
Then, we can plot 6/5 by dividing the number line into 5 equal parts and counting 6 parts starting from 0.
We can label this point as 6/5 or 1(1/5).
Thus,
We can plot 7/10 as 0.7 and 1(1/5) as 1.2 on the number line.
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Please help me!!!!! A tissue box has a volume of 1,001 in . Find the height of the tissue box, in inches, if it is 7 inches wide and 13 inches long. Provide an answer accurate to the nearest tenth.
To find the height of the tissue box, we use the formula for the volume of a rectangular prism, substituting the given values. We get a height of approximately 11.0 inches, rounded to the nearest tenth.
To find the height of the tissue box, we need to use the formula for the volume of a rectangular prism, which is:
volume = length x width x height
We are given the volume of the tissue box as 1,001 cubic inches, and its width and length as 7 inches and 13 inches, respectively. We can enter these values as substitutes in the formula to obtain:
1,001 = 13 x 7 x height
The right side of the equation is simplified, and the outcome is:
1,001 = 91 x height
Dividing both sides by 91 gives:
height = 1,001 / 91
We can evaluate this expression with a calculator to obtain:
height ≈ 11.0
Therefore, the height of the tissue box is approximately 11.0 inches, rounded to the nearest tenth.
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Completely factor the given polynomial, if possible. If the polynomial cannot be factored, indicate "Not Factorable".
cq+cw+qy+wy
The requried completely factored form of the given polynomial is (q+w)(c+y).
We can group the first two terms and the last two terms together, then factor out the common factors:
= cq+cw+qy+wy
= c(q+w) + y(q+w)
= (q+w)(c+y)
Therefore, the completely factored form of the given polynomial is (q+w)(c+y).
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Use the information given below to find the area of the triangle.
B
C
=
20
and
A
C
=
18
Answer:
Step-by-step explanation:
Triangle area formula: 1/2bh
Then use the Pythagorean theorem to find out what AB is.
AB= sqrt 76
8.72
8.72*18*1/2
78.5 approx
What would be the answer?
Answer:
40
Step-by-step explanation:
Perimeter of rectangle = 2(l + w)
L= 12
W = 8
Let's solve
2(12 + 8) = 40
So, the perimeter of the rectangle is 40
Determine if an ordered triple (x, y, z) is a solution of a system.
1. x + 2y - z = 1
2x + 7y + 4z = 11
x + 3y + z = 4
2. x + 2y - 3z = -1
x - 3y + z = 1
2x - y - 2z = 2
Neither (2, 1, 1) nor (-1, 0, -1) is a solution to the respective systems of equations.
We have,
To determine if an ordered triple (x, y, z) is a solution of a system of equations, we need to substitute the values of x, y, and z into each equation and check if the resulting equations are true.
Let's take the first system of equations:
x + 2y - z = 1
2x + 7y + 4z = 11
x + 3y + z = 4
Let's check if the ordered triple (2, 1, 1) is a solution of this system:
2 + 2(1) - 1 = 3, which is not equal to 1, so (2, 1, 1) is not a solution of equation 1.
2(2) + 7(1) + 4(1) = 17, which is not equal to 11, so (2, 1, 1) is not a solution of equation 2.
2 + 3(1) + 1 = 6, which is not equal to 4, so (2, 1, 1) is not a solution of equation 3.
Since (2, 1, 1) is not a solution of any of the equations in the system, it is not a solution of the system.
Now, let's take the second system of equations:
x + 2y - 3z = -1
x - 3y + z = 1
2x - y - 2z = 2
Let's check if the ordered triple (-1, 0, -1) is a solution of this system:
(-1) + 2(0) - 3(-1) = 2, which is not equal to -1, so (-1, 0, -1) is not a solution of equation 1.
(-1) - 3(0) + (-1) = -2, which is not equal to 1, so (-1, 0, -1) is not a solution of equation 2.
2(-1) - 0 - 2(-1) = 0, which is not equal to 2, so (-1, 0, -1) is not a solution of equation 3.
Since (-1, 0, -1) is not a solution of any of the equations in the system, it is not a solution of the system.
Therefore,
Neither (2, 1, 1) nor (-1, 0, -1) is a solution of the respective systems of equations.
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certain virus infects one in every 200 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 10% of the time if the person does not have the virus. (This 10% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive".
a) Find the probability that a person has the virus given that they have tested positive, i.e. find P(A|B). Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(A|B)= %
b) Find the probability that a person does not have the virus given that they test negative, i.e. find P(A'|B'). Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(A'|B') = %
a. The probability that a person has the virus given that they have tested positive is approximately 4.3%.
b. The probability that a person does not have the virus given that they test negative is approximately 99.0%.
What is probability?Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability.
a) We need to find the probability that a person has the virus given that they have tested positive, i.e., P(A|B). We can use Bayes' theorem to calculate this probability:
P(A|B) = P(B|A) * P(A) / P(B)
where P(B|A) is the probability of testing positive given that the person has the virus, P(A) is the prior probability of a person having the virus, and P(B) is the probability of testing positive.
From the problem statement, we know that:
P(A) = 1/200 = 0.005P(B|A) = 0.9P(B|A') = 0.1 (since the test is 10% false positive, the probability of testing positive when the person does not have the virus is 0.1)To calculate P(B), we can use the law of total probability:
P(B) = P(B|A) * P(A) + P(B|A') * P(A')
= 0.9 * 0.005 + 0.1 * (1 - 0.005)
= 0.1045
Therefore, we can compute P(A|B) as:
P(A|B) = P(B|A) * P(A) / P(B)
= 0.9 * 0.005 / 0.1045
≈ 4.3%
So, the probability that a person has the virus given that they have tested positive is approximately 4.3%.
b) We need to find the probability that a person does not have the virus given that they test negative, i.e., P(A'|B'). We can again use Bayes' theorem:
P(A'|B') = P(B'|A') * P(A') / P(B')
where P(B'|A') is the probability of testing negative given that the person does not have the virus, P(A') is the prior probability of a person not having the virus, and P(B') is the probability of testing negative.
From the problem statement, we know that:
P(A') = 1 - P(A) = 199/200 = 0.995P(B'|A) = 0.1 (since the test is 10% false positive, the probability of testing negative when the person has the virus is 0.1)P(B'|A') = 0.9 (since the test is 90% accurate, the probability of testing negative when the person does not have the virus is 0.9)To calculate P(B'), we can again use the law of total probability:
P(B') = P(B'|A) * P(A) + P(B'|A') * P(A')
= 0.1 * 0.005 + 0.9 * 0.995
≈ 0.895
Therefore, we can compute P(A'|B') as:
P(A'|B') = P(B'|A') * P(A') / P(B')
= 0.9 * 0.995 / 0.895
≈ 99.0%
So, the probability that a person does not have the virus given that they test negative is approximately 99.0%.
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if i need to find x in y=a(b^x) what would the equation look like
Answer:
[tex]x=log_b(y/a)[/tex]-------------------------
Convert the equation in below steps to solve for x:
[tex]y=ab^x[/tex]Divide both sides by a:
[tex]y/a=b^x[/tex]Log both sides with base b:
[tex]log_b(y/a)=log_bb^x[/tex][tex]log_b(y/a)=x[/tex]Here is the answer:
[tex]x=log_b(y/a)[/tex]Simplify 1/5(25x -10x)-2x please help asap!
Answer:
x
Step-by-step explanation:
[tex] \frac{1}{5} (25x - 10x) - 2x \\ = \frac{1}{5} (15x) - 2x \\ = 3x - 2x \\ = x[/tex]
#CMIIWfind the value of x
3x + 7 = 19
give full solution
Answer:
hope it helps
Step-by-step explanation:
The given equation is as follows:
3x + 7 = 19
To solve for x, we need to isolate x on one side of the equation.
First, we can start by subtracting 7 from both sides of the equation to get rid of the constant term:
3x + 7 - 7 = 19 - 7
Simplifying, we get:
3x = 12
Next, we can find x by dividing both sides of the equation by 3:
3x/3 = 12/3
Simplifying, we get:
x = 4
Therefore, the solution to the equation 3x + 7 = 19 is x = 4.
Using simplification of equations, we can find the value of x to be = 4.
Define equations?Equations are mathematical statements with the equals (=) symbol and two algebraic expressions on either side. This illustrates the equality of the relationship between the expressions printed on the left and right sides. The formula LHS = RHS (left hand side equals right hand side) is utilised in all mathematical equations. To determine the value of an unknown variable that represents an unknown quantity, you can solve equations. A statement is not regarded as an equation if it has no "equal to" symbol. It'll be regarded as a term.
This is the equation that is provided:
3x + 7 = 19
We must isolate x on one side of the equation in order to find its value.
To eliminate the constant term, we can begin by deducting 7 from both sides of the equation:
3x + 7 - 7 = 19 - 7
To put it simply, we obtain
3x = 12.
Then, by multiplying both sides of the equation by 3, we can determine x:
3x/3 = 12/3
To put it simply, we obtain x = 4.
Consequently, x = 4 is the answer to the equation 3x + 7 = 19.
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A car is purchased for $26,500 . After each year, the resale value decreases by 25% . What will the resale value be after 4 years?
Answer:
the resale value after 4 years would be 11,812.5
Step-by-step explanation:
I'm sorry if this is wrong this is based on what I know :)
Answer:
The answer to your question is $8,384.77
Step-by-step explanation:
Average annual value lost: $12,913.57
First year depreciation: $6,625.00
Total depreciation: $18,115.23
Total depreciation percentage: 68.36%
Value of vehicle at end of ownership period: $8,384.77
I hope this helps and have a wonderful day!
A boat goes 22 mph in still water, and the rate of the current is t mph. (a) What is the rate of the boat when it travels upstream? (b) What is the rate of the boat when it travels downstream?
The solution is:
a) 22-t mph; is the rate of the boat when it travels upstream.
b) 22+t mph. is the rate of the boat when it travels downstream.
Here, we have,
a) When the boat travels upstream, the current hinders the boat (the speed of the boat decreases). Thus, the speed of the boat upstream becomes
22-t mph.
b) When the boat travels downstream, the current helps the boat (the speed of the boat increases). Thus, the speed of the boat downstream becomes
22+t mph.
Hence, The solution is:
a) 22-t mph; is the rate of the boat when it travels upstream.
b) 22+t mph. is the rate of the boat when it travels downstream.
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Josephine can correct her students test papers in 7 hours, but if her teachers assistant help it would take 5 hours. How long in hours and minutes would it take the assistant to do it alone ? ( write answer in mixed units. Enter a zero in any unneeded blanks)
It would take the assistant 17 hours, 30 minutes to do it alone
What are algebraic expressions?Algebraic expressions are defined as expressions that are composed of terms, variables, constants, factors and coefficients.
They are also made up of arithmetic operations, such as;
DivisionSubtractionBracketParenthesesAdditionMultiplicationFrom the information given, we have that;
Josephine makes the correction in 7 hours
They both do it for 5 hours
Let the assistant be x, we then have;
7x/7 + x = 5
cross multiply the values
7x = 37 + 5x
collect the like terms
2x = 35
x = 35/2
x = 17. 5 hours
x =17 hours, 30 minutes
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Help if you have any idea what the answers are
The firm maximizes its profit where MR equals MC and here at quantity 9, MR equals MC.
How to solveA. 9 unit.
The firm maximizes its profit where MR equals MC and here at quantity 9, MR equals MC.
B. 7.25
In perfect competition, the price is equal to MR. Because firms are price takers. So the price will be 30.
Profit per unit =Price - ATC
=30-22.75
=7.25
C. 65.25
Profit =(Price - ATC) *quantity
=(30-22.75)*9
=65.25
A market having perfect competition involves buyers and sellers exerting no significant impact on product pricing. Such markets are composed of numerous parties possessing alike items, with easy ingress and egress from the same domain.
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PLS HELP URGENT!!!
Use the Law of Cosines to solve the problem. You must solve for BC first. Solve this problem in order.
A ship travels due west for 94 miles. It then travels in a northwest direction for 119 miles and ends up 173 miles from its original position. To the nearest tenth of a degree, how many degrees north of west (x) did it
turn when it changed direction? Show your work.
The ship moved almost 72.5 degrees north of west to arrive at its destination.
How would you sum up the Law of Cosines?1.: According to a trigonometrical rule, the square of a side in a plane triangle is equal to the sum of the squares of the other sides minus twice that amount plus the cosine of the angle between the other two sides.
BC² is equal to AB² + AC² - 2AB AC cosx
BC² = 17657 - 22068 cosx BC² = 942 + 1192 - 2 94 119 cosx
BC ≈ 105.2
cos(x) = (2 BC AB) / (BC² + AB² - AC²)
cos(x) = (105.2² + 94² - 119²) / (2 × 105.2 × 94)
cos(x)=0.301 = 72.5 degrees
As a result, the ship moved almost 72.5 degrees north of west to arrive at its destination.
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Sara is preparing to change her w4 for the 2022 tax year and she needs to determine how much she will pay in taxes for the year. Sara knows that her projected income is $124,075 for 2022 and she will be filing her taxes and standard deduction as head of household. How much money in taxes should Sara have removed from her projected income?
2022 Tax Table attatched
Sara should have $4,578 removed from her projected income of $124,075 for the year 2022.
Determine Sara's taxable income by subtracting the standard deduction for head of household from her projected income. According to the tax table, the standard deduction for head of household for 2022 is $18,650. Therefore, Sara's taxable income is:
$124,075 - $18,650 = $105,425
Find the tax bracket that Sara's taxable income falls into. According to the tax table, for head of household, the tax brackets for 2022 are:
10% on taxable income from $0 to $14,100
12% on taxable income over $14,100 to $54,200
22% on taxable income over $54,200 to $86,350
24% on taxable income over $86,350 to $164,900
32% on taxable income over $164,900 to $209,400
35% on taxable income over $209,400 to $523,600
37% on taxable income over $523,600
Since Sara's taxable income is $105,425, she falls into the 24% tax bracket.
Calculate the amount of taxes that Sara owes based on her tax bracket. To do this, we need to find the amount of taxable income that falls within the 24% tax bracket, and multiply it by the tax rate. According to the tax table, the amount of taxable income within the 24% tax bracket for head of household is:
$105,425 - $86,350 = $19,075
Therefore, Sara's tax liability is:
$19,075 x 0.24 = $4,578
So, Sara should have $4,578 removed from her projected income to cover her taxes for the year.
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Which diagrams represent the net of a rectangular prism? Select TWO answers choices.
Answer:
the first one and the second one.
can someone help me on number 1
The perimeter and the area of the rectangle are given as follows:
P = 10.4 inches.A = 22.4 in².How to calculate the perimeter and the area of a rectangle?Considering dimensions l and w, the perimeter of the rectangle is given as follows:
P = 2(l + w).
The dimensions in this problem are of 7 in and 3.2 in, hence the perimeter is given as follows:
P = 2(7 + 3.2)
P = 10.4 inches.
The area of a rectangle is given as follows:
A = lw.
Hence:
A = 7 x 3.2
A = 22.4 in².
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Two friends, Carson and William, took summer jobs. Carson earned $451.50 in 21 hours. The table below represents William's earnings in dollars and cents,
�
y, for working
�
x hours.
How much less per hour does William earn than Carson
Based on their unit rates (hourly rates), William earns $3.20 less per hour than Carson.
How are the unit rates determined?The unit rates can be determined as the quotients of the total earnings divided by the number of hours worked by each worker.
Carson:Total earnings in 21 hours = $451.50
The total number of hours worked = 21 hours
Hourly rate = $21.50 ($451.50 ÷ 21)
William's Earnings:Hours (x) Earnings (y) Hourly Rate
8 $146.40 $18.30 ($146.40 ÷ 8)
32 $585.60 $18.30 ($585.60 ÷ 32)
36 $658.80 $18.30 ($658.80 ÷ 36)
40 $732.00 $18.30 ($732.00 ÷ 40)
William's hourly rate = $18.30
Difference between Carson's and William's hourly rate = $3.20 ($21.50 - $18.30)
Thus, judging from their hourly rates, we can conclude that Carson earns more per hour than William.
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Question Completion:William's Earnings
Hours (x) Earnings (y)
8 $146.40
32 $585.60
36 $658.80
40 $732.00
1) Nikoli rolls a number cube and lets A = {1, 2, 3, 4) and B = [5, 6) represent two different events.
Which term best describes these events?
O uniform
O theoretical
O approximated
O complementary
The probability term that best describes these events is D. complementary.
What are complimentary events ?Complementary events are those that cannot occur simultaneously and are mutually exclusive and exhaustive in probability, meaning that their probabilities add up to 1. Nikoli rolls a number cube with six possible outcomes in this scenario: 1, 2, 3, 4, 5, and 6.
Because events A and b have no common outcomes and their union encapsulates all outcomes that could result from rolling a number cube, they are complimentary events.
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18 mm cylinder surface area
In the diagram below, what is the approximate length of the minor arc XY?
X
NO
23 cm 120°
OA. 36 cm
B. 48 cm
O C. 72 cm
OD. 24 cm
SUBMIT
Since the angle at the center of the circle is 120 degrees, the angle subtended by the minor arc XY at the center of the circle is also 120 degrees.
The circumference of a circle with radius r is given by 2πr, where π is the constant pi (approximately equal to 3.14).
The total circumference of the circle is 2π(23 cm) ≈ 72.4 cm.
Since the minor arc XY subtends an angle of 120 degrees at the center of the circle, it will have a length that is 120/360 = 1/3 of the total circumference.
Therefore, the approximate length of the minor arc XY is (1/3)(72.4 cm) ≈ 24.1 cm.
So the closest option to this value is option D, 24 cm.
Answer: A. 48 cm
Step-by-step explanation:
I just did it :)
Find the value of x for the following
Answer:
3√2
Step-by-step explanation:
We can find the value of x using the following equation:
x² = 2×9
This equation is based on Euclidean theorem (see attachment).x² = 2×9
Multiply left side.x² = 18
Find root of both sides.x = 3√2
The exact circumference of a circle is 14 π yards . What is the approximate of the circle ? Use 3.14 for π . Round to the nearest hundredth is necessary
Answer & Step-by-step explanation:
The Radius should be about 2.228 and the Diameter is 4.456. The area of the circle is 15.59
The volume of a rectangular pyramid is 714 units. If the length of the rectangular
base measures 9 units and the width of the rectangular base measures 14 units, find
the height of the pyramid.
The height of the rectangular pyramid is calculated as:
h = 17 units.
What is the Volume of a Rectangular Pyramid?The formula for calculating the volume of a rectangular pyramid is expressed as:
Volume (V) = 1/3 * lwh, where:
l is the length w is the width h is the heightGiven the following:
l = 9 units
w = 14 units
Volume of rectangular pyramid (V) = 714 cubic units.
Plug in the values:
714 = 1/3 * 9 * 14 * h
714 = 42h
714/42 = h
h = 17 units.
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Explain on how the following two are the same
Answer:
Step-by-step explanation:
The b is area of the base which is l x w
so if you substituted in you get V= l x w x h
So they are the same
Lindsey is solving the quadratic equation x2−2x+6=0 . Which of the following statements is true?
"The solutions to the equation are complex conjugates of each other" as Lindsey is solving the quadratic equation [tex]x^2[/tex]−2x+6=0.
To solve the quadratic equation [tex]x^2 - 2x + 6 = 0[/tex], Lindsey can use the quadratic formula:
x = (-b ± √([tex]b^2[/tex] - 4ac)) / 2a
In this case, a = 1, b = -2, and c = 6. Substituting these values into the formula, we get:
x = (-(-2) ± √([tex](-2)^2[/tex] - 4(1)(6))) / 2(1)
x = (2 ± √(-20)) / 2
Since the discriminant ([tex]b^2[/tex] - 4ac) is negative, the square root of -20 is an imaginary number.
Therefore, the two solutions to the equation are complex conjugates of each other:
x = (1 + √5i) and x = (1 - √5i)
Thus, the correct statement is: "The solutions to the equation are complex conjugates of each other."
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Enter an equation that expresses y in terms of x.
x 40 50 60 70
y 38 48 58 68
The equation is
The equation that expresses y in terms of x is y = x - 2.
To find an equation that expresses y in terms of x, we need to determine the relationship between the two variables. One way to do this is by finding the slope of the line that passes through the given points.
Using the two points (40, 38) and (70, 68), we can find the slope as:
slope = (change in y) / (change in x)
slope = (68 - 38) / (70 - 40)
slope = 30 / 30
slope = 1
This means that for every increase of 1 in x, y also increases by 1.
We can now use the point-slope form of a linear equation to find the equation of the line passing through these points:
y - 38 = 1(x - 40)
Simplifying:
y = x - 2
Therefore, the equation that expresses y in terms of x is y = x - 2.
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