Answer:
Plant B
Step-by-step explanation:
The only measure of variation we really need to check is the mean, or average, of tomatoes that each plant produced. This is because if Kathryn was a farmer, she would want a plant that on average, produces more tomatoes. For that reason, in this context, the mode, median and range are irrelevant. To find the mean of a data set, you simply divide the sum of all of the data by the number of data in the set. Therefore:
Mean of Plant A: (4 + 6 + 7 + 3 + 6 + 2 + 1 + 3 + 6 + 5) / 10 = 43 / 10 = 4.3
Mean of Plant B: (5 + 6 + 7 + 6 + 8 + 9 + 6 + 7 + 8 + 9) / 10 = 71 / 10 = 7.1
As you can see, the mean tomatoes Plant B produces is larger than that of Plant A, therefore, Kathryn should choose Plant B if she was a farmer.
these days more and more appliances are talking to each other and with the internet. How will all this talk help in the development of AI systems
Answer:
please mark brainliest!
Step-by-step explanation:
The internet today is driven by smartphones, tablets, and personal, given in the system Explanation, AI makes the appliances talk to each other by decoding.
Solve the equation. What is the value of x?
X-6.8= 356.3
X-
Answer:
Step-by-step explanation:
−
6
.
8
=
3
5
6
.
3
x-6.8=356.3
x−6.8=356.3
Solve
1
Add
6
.
8
6.8
6.8
to both sides of the equation
−
6
.
8
=
3
5
6
.
3
x-6.8=356.3
x−6.8=356.3
−
6
.
8
+
6
.
8
=
3
5
6
.
3
+
6
.
8
x-6.8+{\color{#c92786}{6.8}}=356.3+{\color{#c92786}{6.8}}
x−6.8+6.8=356.3+6.8
2
Simplify
Solution
=
3
6
3
.
1
x=363.1
x=363.1
Answer:
Your answer is x=363.1
Step-by-step explanation:
To solve this we have to get X alone.
We do this by doing the inverse of everything on the same side as the X.
So for x-6.8 we add 6.8 to BOTH sides of the equation. To get x=363.1
Prove that ∑i=1[infinity]2i1=1.
After using the formula for the sum of an infinite geometric series, we conclude that the given infinite series does not converge to 1.
To prove that the infinite series ∑(i=1 to ∞) 2^(i-1) equals 1, we can use the formula for the sum of an infinite geometric series.
The sum of an infinite geometric series with a common ratio r (|r| < 1) is given by the formula:
S = a / (1 - r)
where 'a' is the first term of the series.
In this case, our series is ∑(i=1 to ∞) 2^(i-1), and the first term (a) is 2^0 = 1. The common ratio (r) is 2.
Applying the formula, we have:
S = 1 / (1 - 2)
Simplifying, we get:
S = 1 / (-1)
S = -1
However, we know that the sum of a geometric series should be a positive number when the common ratio is between -1 and 1. Therefore, our result of -1 does not make sense in this context.
Hence, we conclude that the given infinite series does not converge to 1.
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a researcher reports that participants made fewer errors on a simulated air-traffic-control task when quiet background music was playing than when there was no music. for this study, the number of errors is the independent variable.
The independent variable in the researcher's study is the number of errors made by participants in the simulated air-traffic-control task. The researcher examined how this variable was influenced by the presence or absence of quiet background music.
In the study conducted by the researcher, the independent variable is the number of errors made by participants. The researcher investigated the impact of this variable on participants' performance in a simulated air-traffic-control task.
The independent variable represents the condition or factor that is intentionally manipulated or varied by the researcher. In this case, the researcher manipulated the presence or absence of quiet background music to observe its effect on the number of errors made by participants.
By manipulating the independent variable (number of errors), the researcher aimed to analyze its influence on participants' performance. The independent variable allows the researcher to explore potential cause-and-effect relationships between the experimental conditions and the observed outcomes.
It is important to note that the independent variable is not affected by other variables in the study. It is controlled by the researcher to examine its impact on the dependent variable, which is the variable being measured or observed as an outcome of the study.
In summary, the independent variable in the researcher's study is the number of errors made by participants in the simulated air-traffic-control task. The researcher examined how this variable was influenced by the presence or absence of quiet background music.
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For the linear program
Max 5A + 9B
s.t.
1A
+
2B ≤ 8
5A
+
3B ≤ 15
A,
B ≥ 0
find the optimal solution using the graphical solution
procedure. What is the value of the object
To find the optimal solution for the given linear program using the graphical solution procedure, we start by graphing the feasible region determined by the constraints.
The constraints are:
1A + 2B ≤ 8
5A + 3B ≤ 15
A ≥ 0
B ≥ 0 By plotting the lines corresponding to these constraints and shading the region that satisfies all the inequalities, we can identify the feasible region.Next, we need to determine the objective function's value at the vertices of the feasible region. The objective function is Max 5A + 9B, which represents the value we want to maximize.
We evaluate the objective function at each vertex of the feasible region and determine the vertex that yields the maximum value. The vertex with the highest objective function value represents the optimal solution.Calculating the objective function at each vertex and comparing the values, we can determine optimal solution and its corresponding objective function value.
However, since I am unable to provide visual aids or perform graphical calculations in this text-based format, I recommend using graphing software or manually graphing the feasible region to determine the optimal solution and its corresponding objective function value.
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helpppp meeee mateeee
No, Yes, No, No
-6 = (w/9) - 1
add 1 both side
-5 = w/9
multiply 9 by both sides
w = -45
Answer:
I'm pretty sure -45 is the only answer out of all of those.
Maya is taking trip to the mall to purchase
Some new Clothes. She can afford spending up
to $150. If she wants to buy a pair of
shoes that cost $49.50 and variety of Shirts
That cost $ 22.99 each, how many shirts can
Maya afford ?
Answer:
4 shirts
Step-by-step explanation: 150 - 49.5 = 100.5 / 22.99 = 4.3
Answer:
4shirt thats is correct i research it
Hey guys can anyone help??
Answer:
what do you need help with ?
William’s team won 16 games and lost 4 games. Tracey’s team won 15 games and lost 5 games. Whose team had the greater ratio of wins/losses?
Answer: William's is 16:4 and Tracey's are 15:5
Step-by-step explanation:
one degree of latitude is equal to which of the following? 10 minutes 60 seconds 30 seconds 60 minutes
Answer: one degree of latitude is equal to 60 Minutes
Steps- We Know that-
1 min = 60 sec
1 day = 24 hrs
Additionally, The hour hand measures the clock's 360 degree arcs twice throughout the day, i.e.
2*360= 720 degree
1 degree 2*360/12= 60 min
Hence proved 1 degree = 60 Minutes
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Name the marked angle in 2 different ways.
Answer:
∠PMN; ∠M
Hope this helps!:)
the columns of exra5 are vectors in r4 . do they form a basis for r4? if you decided that the columns of exra5 form a basis for r4 type exa5a
Yes, the columns of exra5 do form a basis for r4. A basis is a set of linearly independent vectors that span a vector space, and in this case the vector space is R4. The four columns of exra5 are linearly independent, and they span the entire R4 space, so they form a basis for R4.
Yes, the columns of exra5 do form a basis for r4. A basis is a set of linearly independent vectors that span a vector space, and in this case the vector space is R4. The columns of exra5 must be linearly independent, which means that no linear combination of them can equal the zero vector. Furthermore, the columns of exra5 must span the entire R4 space, meaning that any vector in R4 can be expressed as a linear combination of the columns of exra5. This is equivalent to saying that the columns of exra5 can be used to generate the entire vector space R4. If these two conditions are met, then the columns of exra5 form a basis for R4. In this case, both conditions are met, so the columns of exra5 do form a basis for R4. Moreover, since there are four columns, the basis for R4 is called a basis of size four. The special property of a basis of size four is that it is the smallest possible basis for R4, meaning that no other set of vectors can form a basis for R4 with fewer than four vectors.
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What is the missing reason in the proof?
Given: ∠ABC is a right angle, ∠DBC is a straight angle
Prove: ∠ABC ≅ ∠ABD
A horizontal line has points D, B, C. A line extends vertically from point B to point A. Angle A B C is a right angle.
definition of angle bisector
segment addition property
definition of congruent angles
transitive property
Answer:
ABC and ABD are congruent
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0 ≤ θ < π. Enter your answers as a comma-separated list of ordered pairs.) r = 8 cos θ Horizontal tangent (r, \Theta)= Vertical tangent (r, \Theta)=
Main Answer:The points on the given curve where the tangent line is horizontal are (8, 0), (-8, π), (8, 2π), (-8, 3π), and so on and the Vertical tangent are (0, π/2), (0, 3π/2), (0, 5π/2),so on.
Supporting Question and Answer:
How do we find points on a curve where the tangent line is horizontal or vertical?
To find points on a curve where the tangent line is horizontal or vertical, we need to determine the values of θ (or any parameter) that correspond to those points. This can be done by analyzing the derivatives of the curve equation and identifying the conditions under which the derivative is zero or undefined. Horizontal tangent lines occur when the derivative with respect to θ is zero, while vertical tangent lines occur when the derivative with respect to r is undefined or infinite.
Body of the Solution:To find the points on the curve r = 8 cos θ where the tangent line is horizontal or vertical, we need to determine the values of θ that correspond to those points.
Horizontal tangent line: A horizontal tangent line occurs when the derivative of r with respect to θ is equal to zero.Differentiating r = 8 cos θ with respect to θ, we get:
dr/dθ = -8 sin θ
Setting dr/dθ = 0, we have:
-8 sin θ = 0
Since sin θ = 0 when θ is an integer multiple of π, the values of θ that give a horizontal tangent line are: θ = 0, π, 2π, 3π, ...
For each value of θ, we can find the corresponding value of r by substituting it back into the equation r = 8 cos θ.
Vertical tangent line: A vertical tangent line occurs when the derivative of θ with respect to r is undefined or infinite.Differentiating r = 8 cos θ with respect to r, we get:
dθ/dr = -1 / (8 sin θ)
For a vertical tangent line, sin θ must be equal to zero, which occurs when θ is an integer multiple of π.
Therefore, the values of θ that give a vertical tangent line are: θ = π/2, 3π/2, 5π/2, ...
Again, for each value of θ, we can find the corresponding value of r by substituting it into the equation r = 8 cos θ.
Combining the values of θ and their corresponding values of r, we have: Horizontal tangent: (8, 0), (-8, π), (8, 2π), (-8, 3π), ... Vertical tangent: (0, π/2), (0, 3π/2), (0, 5π/2), ...
Final Answer:Thus, the points on the given curve where the tangent line is horizontal are (8, 0), (-8, π), (8, 2π), (-8, 3π), and so on, while the points where the tangent line is vertical are (0, π/2), (0, 3π/2), (0, 5π/2), and so on.
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The points on the given curve where the tangent line is horizontal are (8, 0), (-8, π), (8, 2π), (-8, 3π), and so on and the Vertical tangent are (0, π/2), (0, 3π/2), (0, 5π/2),so on.
How do we find points on a curve where the tangent line is horizontal or vertical?To find points on a curve where the tangent line is horizontal or vertical, we need to determine the values of θ (or any parameter) that correspond to those points. This can be done by analyzing the derivatives of the curve equation and identifying the conditions under which the derivative is zero or undefined. Horizontal tangent lines occur when the derivative with respect to θ is zero, while vertical tangent lines occur when the derivative with respect to r is undefined or infinite.
To find the points on the curve r = 8 cos θ where the tangent line is horizontal or vertical, we need to determine the values of θ that correspond to those points.
Horizontal tangent line: A horizontal tangent line occurs when the derivative of r with respect to θ is equal to zero.
Differentiating r = 8 cos θ with respect to θ, we get:
dr/dθ = -8 sin θ
Setting dr/dθ = 0, we have:
-8 sin θ = 0
Since sin θ = 0 when θ is an integer multiple of π, the values of θ that give a horizontal tangent line are: θ = 0, π, 2π, 3π, ...
For each value of θ, we can find the corresponding value of r by substituting it back into the equation r = 8 cos θ.
Vertical tangent line: A vertical tangent line occurs when the derivative of θ with respect to r is undefined or infinite.
Differentiating r = 8 cos θ with respect to r, we get:
dθ/dr = -1 / (8 sin θ)
For a vertical tangent line, sin θ must be equal to zero, which occurs when θ is an integer multiple of π.
Therefore, the values of θ that give a vertical tangent line are: θ = π/2, 3π/2, 5π/2, ...
Again, for each value of θ, we can find the corresponding value of r by substituting it into the equation r = 8 cos θ.
Combining the values of θ and their corresponding values of r, we have: Horizontal tangent: (8, 0), (-8, π), (8, 2π), (-8, 3π), ... Vertical tangent: (0, π/2), (0, 3π/2), (0, 5π/2), ...
Thus, the points on the given curve where the tangent line is horizontal are (8, 0), (-8, π), (8, 2π), (-8, 3π), and so on, while the points where the tangent line is vertical are (0, π/2), (0, 3π/2), (0, 5π/2), and so on.
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help me my people plzzzzzzzzzzz
Answer:
31,500
Step-by-step explanation:
Hope this helps!
Suppose that the overall speedup for a program containing 12% divide operations is 1.7 when we replace the old divider by a new one that is n times faster. What is n? Round to two decimal places.
when we replace the old divider with a new one that is n times faster. The original program execution time can be expressed as T0 = t_divide + t , and the new program can be expressed as T1 = 0.12t_divide(d/n) + 0.88t. The answer is n 2.49 (rounded to two decimal places).
The question requires us to calculate the value of n when the overall speedup for a program containing 12% divide operations is 1.7 when we replace the old divider by a new one that is n times faster. We need to round the answer to two decimal places.Steps to solve the given problem:
Let's consider that the program execution time consists of two parts. One part of the execution time consists of the divide operations and the second part consists of the program.In other words, the original program execution time can be expressed as:T0 = t_divide + t Suppose the old divider was taking d seconds for performing a divide operation, and the new divider takes d/n seconds to perform the same operation. This implies the time required for the divide operation using the new divider is n times faster than the old divider.
Therefore, the time for the new program can be expressed as:T1 = 0.12t_divide(d/n) + 0.88t (Equation 1)Here, we have considered that the divide operations constitute 12% of the program.The overall speedup is given as:T0/T1 = 1.7Solving for n:n = d/T0 * T1/n
Substituting T0 and T1 in the above equation, we get:
n = d / (0.12d/n + 0.88T0/n) Multiplying the numerator and denominator of the right-hand side of the above equation with n, we get
:n = n^2d / (0.12d + 0.88T0)
Taking square root on both sides and simplifying the expression, we get:
n = √(1.7 * 100/12)
≈ 2.49
Therefore, n ≈ 2.49 (Rounded to two decimal places).Answer: n ≈ 2.49 (Rounded to two decimal places).
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how to find the missing length of a right triangle
Answer:
see below
Step-by-step explanation:
Use pythagorean theorem:
\(a^{2} +b^{2} =c^{2} \\\)
For example, if we are given the lengths:
Short side: 3
Hypotenuse: 5
and we have to find the other side length:
\(a^{2} +b^{2} =c^{2} \\3^{2} +b^{2} =5^{2} \\9+b^{2} =25\\b^{2} =16\\b=4\)
So, the missing side length would be 4.
Hope this helps! :)
= 2, when x = Show that f(x) is continuous at x = 0, tan 3x when x 70 4x 4 when x = 0 3 B 2. 7 plss answer guyss
Answer:
Step-by-step explanation:
Si
To simplify the expression, which operation should be performed first?
3+4-8.72 +9:6
I
A) 3 +4
B) 8.7
C) 72
D) 9-6
using P.E.M.D.A.S. add 3 + 4 + 9:6 then subtract what you get ---> X - 8.72
If a white birch tree and a pin oak tree each now have a diameter of 111 foot, which of the following will be closest to the difference, in inches, of their diameters 101010 years from now?
The difference between their diameters would be 0 inches.
Here, it is known that,
A force can be stated as an effect in physics that may modify the velocity of an item. It can be taken as force can be stated as: The push or pull on an object with mass causes it to change its velocity. Force which is an external agent capable of changing a body's state of rest or motion.
Force can be stated as an external agent that may change the condition of rest or motion of a body.
It has both the magnitude and a direction.
Here,
However, if we assume that the trees are growing at a rate of 1 inch per year, then in 10 years, the white birch tree would have a diameter of 1 foot + 10 inches, and the pin oak tree would have a diameter of 1 foot + 10 inches.
The difference between their diameters would be 0 inches.
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Please help! For math.
Answer:
volume = 36
Step-by-step explanation:
2 1/4 + 3 1/2 = ???
Answer:
\(5\frac{3}{4}\)
Step-by-step explanation:
You need to set bot denominators equal so multiply the second fraction by two for both the top and bottom.
\(2\frac{1}{4} +3\frac{1}{2} \\ =2\frac{1}{4} +3\frac{2}{4}\\\\ =5\frac{3}{4}\)
Pleaseee helppp mmeeee!
Answer:
They are both 45 degrees
Step-by-step explanation:
The square in the middle means a right angle (90) and 5 and 6 are equal too so they both equal 45
Write an equation in slope-intercept and standards form that has a slope of 3 and passes through (-2, 3)
The equation in standard form is:-3x + y = 9
An equation in slope-intercept and standard form that has a slope of 3 and passes through (-2, 3) can be obtained as follows:Slope-intercept form:y = mx + bwhere m is the slope and b is the y-intercept.
We are given that the slope, m, is 3. Therefore, the equation in slope-intercept form becomes:y = 3x + bwhere b is the y-intercept.
To find b, we substitute the coordinates (-2, 3) in the above equation and solve for b.3 = 3(-2) + b3 = -6 + bb = 3 + 6b = 9
Therefore, the equation in slope-intercept form is:y = 3x + 9Standard form:
Ax + By = C
where A, B, and C are integers and A is positive.We rewrite the equation in slope-intercept form as follows:
3x - y = -9Multiplying by -1 on both sides, we get:-3x + y = 9
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Your answer is INCORRECT. Suppose that you are 34 years old now, and that you would like to retire at the age of 75 . Furthermore, you would like to have a retirement fund from which you can draw an income of $70,000 annually. You plan to reach this goal by making monthly deposits into an investment plan until you retire. How much do you need to deposit each month? Assume an APR of 8% compounded monthly, both as you pay into the retirement fund and when you collect from it later. a) $213.34 b) $222.34 c) $268.34 d) $312.34 e) None of the above.
Option a) $213.34 is the correct answer.
Given that, Suppose that you are 34 years old now and that you would like to retire at the age of 75. Furthermore, you would like to have a retirement fund from which you can draw an income of $70,000 annually. You plan to reach this goal by making monthly deposits into an investment plan until you retire. The amount to be deposited each month needs to be calculated. It is assumed that the annual interest rate is 8% and compounded monthly.
The formula for the future value of the annuity is given by, \(FV = C * ((1+i)n -\frac{1}{i} )\)
Where, FV = Future value of annuity
C = Regular deposit
n = Number of time periods
i = Interest rate per time period
In this case, n = (75 – 34) × 12 = 492 time periods and i = 8%/12 = 0.0067 per month.
As FV is unknown, we solve the equation for C.
C = FV * (i / ( (1 + i)n – 1) ) / (1 + i)
To get the value of FV, we use the formula,FV = A × ( (1 + i)n – 1 ) /i
where, A = Annual income after retirement
After substituting the values, we get the amount to be deposited as $213.34.
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If a Japanese company reported an 8.8 percent increase in net profit from last year’s 426 billion yen, what would be this year’s net profit in yen?
Answer:
463,488,000,000
Step-by-step explanation:
8.8% = .088
426,000,000,000 * .088 = 37,488,000,000
426,000,000,000 + 37,488,000,000 = 463,488,000,000
y=exp(Ax)[(C1) cos(Bx) + (C2) sin(x)] is the general solution of the second order linear differential equation: (y'') + ( 18y') + ( 41y) = 0. Determine A & B.
When y = exp(Ax)[(C1)cos(Bx) + (C2)sin(Bx)] is the general solution of the second order linear differential equation: (y'') + ( 18y') + ( 41y) = 0 then the values of A and B are A = -9 / x and B = 4√10 / x.
To determine the values of A and B in the general solution of the second order linear differential equation, (y'') + (18y') + (41y) = 0, we can compare the given general solution, y = exp(Ax)[(C1)cos(Bx) + (C2)sin(Bx)], with the characteristics of the equation.
The given differential equation is a second order linear homogeneous equation with constant coefficients.
The characteristic equation associated with it is in the form of \(r^2\) + 18r + 41 = 0, where r represents the roots of the characteristic equation.
To find the roots, we can solve the quadratic equation.
The discriminant, D, is given by D = \(b^2\) - 4ac, where a = 1, b = 18, and c = 41.
Evaluating the discriminant, we get D = (\(18^2\)) - 4(1)(41) = 324 - 164 = 160.
Since the discriminant is positive, the roots will be complex conjugates. Therefore, the roots can be expressed as r = (-18 ± √160) / 2.
Simplifying further, we have r = -9 ± 4√10.
Comparing the roots with the general solution, we can equate the exponents: Ax = -9 and Bx = 4√10.
From Ax = -9, we can determine A = -9 / x.
From Bx = 4√10, we can determine B = 4√10 / x.
Thus, the values of A and B in the general solution are A = -9 / x and B = 4√10 / x.
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(a) A = = (b) A = 2 2 4 1 -2 -2 -7] -4
By multiplying matrices B and A, we obtain the product BA. Using BA, we can solve the system of equations y + 2z = 7, x - y = 3, and 2x + 3y + 4z = 17.the values of x, y, and z are -1, 2, and 1 respectively
To find the product BA, we multiply matrix B with matrix A. The resulting matrix will have the same number of rows as B and the same number of columns as A. The product BA will be used to solve the given system of equations.
The product BA can be computed by multiplying each row of matrix B by each column of matrix A and summing the results. The resulting matrix will be:
Now, we can use the product BA to solve the system of equations:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.
1 -1 2
2 3 1
0 4 2
We can rewrite this system of equations as:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.
By comparing the coefficients of x, y, and z in the system of equations with the entries in the matrix BA, we can determine the values of x, y, and z.
Solving the system of equations using matrix BA, we get:
x = -1,
y = 2,
z = 1.
Therefore, the values of x, y, and z are -1, 2, and 1 respectively.
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The complete question is:
Given A=
⎣2 2 -4|
|-4 2 -4|
|2 -1 5|
, B=
⎣1 -1 0|
⎢2 3 4|
⎢0 1 2|
, find BA and use this to solve the system of equations y+2z=7, x−y=3, 2x+3y+4z=17.
the proportions of families with various numbers of children age 18 or under in a small town are given in the following table. one family is randomly selected from this town. x 0 1 2 3 4 5 p(x) .10 .40 .13 .10 .22 .05 find the probability that the selected family has at least 3 children age 18 or under.
The probability that at least 3 children age 18 or under will be selected is 0.50
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Probability = sample space/total possible outcome
at least 3 children means x≥ 3
therefore ;
probability of atleast 3 children age 18 or under are selected =
.13+ .10 +.22 +.05
= 0.50
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in the following expression, the variable truckweight has the value 70000 and the variable weightlimit has the value 80000. truckweight < weightlimit what value does the expression evaluate to?
The expression evaluates to TRUE.
70000 < 80000 = TRUE
The expression evaluates to TRUE because when the values of the two variables, truckweight and weightlimit, are compared the value of truckweight is less than the value of weightlimit. This means that the statement represented by the expression is true. To evaluate the expression, the value of truckweight (70000) is compared to the value of weightlimit (80000). The value of truckweight (70000) is less than the value of weightlimit (80000), therefore the expression evaluates to TRUE.
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