Answer:
2. 4
3. 5
4. 8
5. 9
6. 1
7. 6
8. 5
9. 7
10. 2
Step-by-step explanation:
Count the number of terms for each. Alternately, count the number of "+" and "-", and add 1.
find all real solutions of the equation. (enter your answers as a comma-separated list. if there is no real solution, enter no real solution.) 8x2 6x − 9 = 0
the real solutions of the equation 8x^2 + 6x - 9 = 0 are x = 3/4 and x = -3/2.
To find the real solutions of the equation 8x^2 + 6x - 9 = 0, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
For the given equation, the coefficients are:
a = 8
b = 6
c = -9
Plugging these values into the quadratic formula, we get:
x = (-6 ± √(6^2 - 4(8)(-9))) / (2(8))
x = (-6 ± √(36 + 288)) / 16
x = (-6 ± √324) / 16
x = (-6 ± 18) / 16
This simplifies to two possible solutions:
x₁ = (-6 + 18) / 16 = 12/16 = 3/4
x₂ = (-6 - 18) / 16 = -24/16 = -3/2
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What is 40% of 40 Million?A. 28,000,000B. 5,000,000C. 16,000,000D. 38,000,000
Answer: It is C 16,000,000
Step-by-step explanation: I am 100% sure.
If y is directly proportional to x and y = 20 when
x = 5,
(i) find an equation connecting x and y,
Answer:
Step-by-step explanation:
y = kx
y = 20
x = 4
20 = k*4 Divide by 4
20/4 = k
k = 5
The equation is y = 5x
Two trains leave stations 432 miles apart at the same time and travel toward each other one train travels at 95 mph about the other travels at 85 mph how long will it take for the two trains to meet
Answer:
1 hour
Step-by-step explanation:
Please could you help me with this. 132 people took a driving test. 80 people predicted they would pass. 64 people
didn't pass. Of these 64 people, 3 times as many people predicted they would pass
as predicated fail. Draw a frequency free to represent this information and use it to
find the probability that a person who predicted they would fail actually did.
Many doctors rely on the use of intravenous medication administration in order to achieve an immediate response of a particular drug's effects. The concentration, C, in mg/L, of a particular medication after being injected into a patient can be given by the function C of t is equal to the quantity negative 10 times t squared plus 50 times t end quantity over the quantity t squared plus 4 times t plus 3 end quantity comma where the time, t, is hours after injection. Part A: What is the domain of the function C(t) based on the context of the problem? Show all necessary calculations. (5 points) Part B: Graph the function to determine the greatest concentration of the medication that a patient will have in their body. (5 points)
Graphs are used to show the relationship between variables, where the variables are represented by a pair of axes.
The domain of the function is \(t \ge 0\) The greatest concentration of the medication is 5mg/LGiven that:
\(C(t) = \frac{-10t^2 + 50t}{t^2 + 4t + 3 }\)
(a): The domain of the function
Because the medication concentration C(t) is a function of time (t), the domain is the possible values t can take.
t, cannot take negative values (i.e. it is not possible to have a negative time).
The least possible value of t is 0
So, the domain of the function based on the context is:
\(t \ge 0\)
(b) The greatest concentration of the medication
From the graph (see attachment), the maximum y-value is 5.
Hence, the greatest concentration of the medication is 5 mg/L
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A function assigns the values. The greatest concentration of the medication that a patient will have in their body is when the time is t=1.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) Given the function of the concentration of medication in the body as to\(C(t)=\ \frac{\left(-10t^{2}+50t\right)}{t^{2}+4t+3}\) where t is the time. Since the time can not be negative, therefore, the domain of the function is t≥0.
B.) The graph of the function can be plotted as shown below. Now, the greatest concentration of the medication that a patient will have in their body is when the time is t=1.
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Hey, if you can help I would love it.
Answer:
the answer is C
Step-by-step explanation:
the number line shows the numbers 70/100 - 80/100. the x appears 6 lines after 70/100 which is 0.76
What is square root raised cosine?
SRRC is a pulse shaping filter used in digital communications to minimize intersymbol interference and improve the signal-to-noise ratio.
The square root raised cosine (SRRC) is a famous heartbeat molding channel utilized in computerized correspondences, especially in applications like advanced tweak and demodulation. It is intended to limit intersymbol obstruction (ISI) by restricting the data transmission of the sent sign while keeping a consistent envelope.
The SRRC channel is described by a reaction that is like the raised cosine channel, yet with a square root capability applied to the recurrence reaction. This outcomes in a smoother change between the passband and stopband, which assists with decreasing ISI and work on the sign to-clamor proportion.
The SRRC channel is usually utilized in correspondence frameworks that utilization quadrature sufficiency regulation (QAM) or stage shift keying (PSK) tweak plans, as it gives great ghastly control and heartbeat molding properties that are appropriate to these kinds of signs.
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used to measure the center of a set of values. good for summarizing values that are generally pretty similar to each other.
Mean is used to measure the center of a set of values. It is good for summarizing values which are generally pretty similar to each other.
What is mean and its function?Mean is more usually referred to as the average. It is calculated by adding up all of the values and dividing by the total number of values. It is a good way for summarizing the center of values which are commonly very similar to each other.
The mean is the most often used measure of central tendency since it uses all values in the data set to give us an average. For data from skewed distributions, the median is better than the mean because it is not influenced by large values.
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Although part of your question is missing, you might be referring to this full question: _________ is used to measure the center of a set of values. It is good for summarizing values that are generally pretty similar to each other.
A ______ can have one of two values, true or false, and is often used in if statements.
A boolean expression can have one of the two values, true or false and is often used in if statements.
Given: To identify what is used in if statements that has either of the two values, true or false.
What are boolean expressions?
Boolean expressions are logical statements that can either be true or false.
Boolean expressions are used to compare different values which are of the same domain and to verify if the condition of comparison is true or false.
For example: 4 > 5 , is this statement true? With the help of boolean variables "true" and "false" we can say that 4 > 5 is "false"
NOTE: There are two boolean variables : TRUE and FALSE
The boolean value TRUE is equivalent to 1 in the integer domain.
The boolean value FALSE is equivalent to 0 in the integer domain.
The common operators that are often used in boolean expressions are OR, AND and NOT.
For example: 7 > 6 OR 0 < 90
Now 7 > 6 is TRUE, also 0 < 90 is TRUE
So, TRUE OR TRUE gives TRUE
Hence 7 > 6 OR 0 < 90 is TRUE, the condition is verified.
The "if" statement is a conditional statement in programming which when TRUE performs certain given information and if FALSE it either terminates or performs some other statements that may be defined in the else or the FALSE part.
"if" statements works on boolean values TRUE and FALSE.
It's like IF this is TRUE do this or ELSE do that.
The structure of if statement is:
if <condition>
//statements [executed if condition is TRUE]
else
//statements [executed if condition is FALSE]
Hence a boolean expression can have one of the two values, true or false and is often used in if statements
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A Boolean expression can have one of the two values, true or false and is often used in if statements.
We are given a statement about an expression which can have the values as true or false and is mostly used in the if statements.
We need to identify the expression that they are talking about.
We get that, they are talking about the Boolean expression as it is the only expression that has the values as True or False and is often used in the if statements to know whether those statements are correct or not.
Therefore, a Boolean expression can have one of the two values, true or false and is often used in if statements.
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Which equation is equivalent to log Subscript 3 Baseline (x + 5) = 2?
Answer:
The correct option is right-bracket squared 3 squared =x+5
Step-by-step explanation:
The equation is \log _{3}(x+5)=2
Option a: \log _{3}(x+5)=3^{2}
This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}
Hence, option a is not equivalent to \log _{3}(x+5)=2
Option b: \log _{3}(x+5)=2^{3}
This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}
Hence, option b is not equivalent to \log _{3}(x+5)=2
Option c: x+5=3^{2}
This is possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}
Hence, option c is equivalent to \log _{3}(x+5)=2
Option b: x+5=2^{3}
This is not possible because using logarithmic rule, if \log _{a} b=c then b=a^{c}
Hence, option b is not equivalent to \log _{3}(x+5)=2
Thus, the correct option is c: x+5=3^{2}
Hence, the equation x+5=3^{2} is equivalent to \log _{3}(x+5)=2
Answer:
B
Step-by-step explanation: Let me know if I am right
This one of the questions
Answer:
just get good
Step-by-step explanation:
and u should've paid attention during class
If the distribution of absences was displayed in a histogram, what would be the best description of the histogram’s shape?.
The best description is skew right. (the date is missing in this question)
What is Skew right?
A distribution is right skewed if it has a “tail” on the right side of the distribution
The cumulative relative frequency graph shows that
The slope between 0 and 4 is substantially steeper than the curve between 6 and 14.
Then
Because most of the data values are between 0 and 4 (where the histogram's highest bar appears) and relatively few values lie between 6 and 14 the histogram's distribution should be skewed to the right, resulting in low bars tailing to the right side of the highest bars.
Because there are more data values between 0 and 4 than between 6 and 14 we can conclude that skewed right is the best description of the histogram's form. Hence, the it is skewed right.
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Jamie has $14. This is $5 less than twice what his brother has. How much does his brother have
Answer:2
Step-by-step explanation:14/2 = 7 - 5 =2
First, let's define our variable
x = brother's money
Now, let's create an equation to model the problem.
$14 = 2x - $5
Add 5 to both sides.
$19 = 2x
Divide both sides by 2
$9.5 = x
His brother has $9.5
There are 4 more boys than girls in a
class. If there are 16 students in the
class, how many are boys? How many are
girls?
Set up an equation to show this, and then
solve.
Answer:
There are 10 boys and 6 girls in the class
Step-by-step explanation:
The given parameters are;
The number of boys = The number of girls + 4
The number of students in the class = 16
Let x represent the number of girls in the class and let y represent the number of boys in the class
Therefore;
y = x + 4...(1)
x + y = 16...(2)
Making y the subject of equation (2) gives;
y = 16 - x
Equating the values of y from equation (1) and equation (2) gives;
x + 4 = 16 - x
Which gives;
2·x = 16 - 4 = 12
x = 12/2 = 6
x = 6
The number of girls = x = 6
From equation (1), we have;
y = x + 4 = 6 + 4 = 10
y = 10
The number of boys = y = 10.
Raina had two coupons for a bicycle .
Coupon A: 15% off a $95 bicycle
Coupon B:$18 rebate on a $95 bicycle .
Choose the coupon that gives the lower price. Then fill in the blank with the correct value.
Answer:
B
Step-by-step explanation:
a quick look sees already the answer :
$18 would be 18% rebate for $100. as the price is not even $100, $18 rebate must be even more than 18%.
but coupon A gives only 15%.
so, clearly, coupon B gives the higher rebate and therefore the lower price.
now, let's do some precise calculation to prove our thinking :
100% = $95
1% = 100%/100 = $95/100 = $0.95
coupon A gives 15% discount
15% = 15×1% = 15×0.95 = $14.25
actual price = 95 - 14.25 = $80.75
but coupon B gives $18 discount.
actual price = 95 - 18 = $77
the %-discount = 18/1% = 18/0.95 = 18.94736842...%
so, as expected, coupon B gives the higher discount and therefore the lower price.
Frederick's brother is going on a hike. He has his backpack filled with supplies. His backpack weighs 400 ounces. How many pounds is Frederick's backpack? Note: 1 pound = 16 ounces
Answer:
25
Step-by-step explanation:
Do 400 divided by 16 to convert to pounds
400/16=25
Hope this helped :)
Answer:
25 pounds
Step-by-step explanation:
1 Pound=16 ounces
? Pounds=400 ounces
400 divided by 16=25
25 pounds=400 ounces
Simplify the expression –3 2 . A. 9 B. 6 C. –6 D. –9
Answer:
see below
Step-by-step explanation:
(-3) ^2
(-3)*(-3)
A negative times a negative
9
If the problem is
- (3) ^2
- (3*3)
- 9
Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
r = 4 cm
a = 3.2 cm
s = 4.7 cm
[? ]%
Round to the nearest tenth of a percent
The radius of the circle = r = 4 cm.The length of the segment = a = 3.2 cm.The length of the chord = s = 4.7 cm.We need to find the probability that a randomly selected point within the circle falls in the red shaded area.The red shaded area is a segment of the circle.
Let O be the centre of the circle. Join OA and OB.Let the chord AB cut the circle at C. Join OC. Now, ΔOCA and ΔOCB are congruent (RHS congruence) becauseOA = OB (radii of the same circle)AC = BC (length of the chord)OC = OC (common side)Therefore, ∠OCA = ∠OCB = θ (say)Also, ∠OAC = ∠OBC (vertically opposite angles)Now, ∠OCA + ∠OAC = 90° (angle sum property of the triangle) ⇒ θ + ∠OAC = 90°and ∠OCB + ∠OBC = 90° (angle sum property of the triangle) ⇒ θ + ∠OBC = 90°Adding the above two equations, we get,2θ + ∠OAC + ∠OBC = 180°2θ + ∠AOB = 180° (angles in a straight line)θ = (180° - ∠AOB) / 2
Therefore, θ = (180° - ∠AOB) / 2= (180° - 60°) / 2= 60° / 2= 30°Using the formula for the area of the segment of the circle, we have,Area of the segment = (1/2)rsinθArea of the segment = (1/2)×4×7.56×(sin30°)Area of the segment = 6.28 cm2Now, the area of the circle is πr2 = π×42 = 16π cm2.So, the probability that a randomly selected point within the circle falls in the red shaded area is given by the ratio of the area of the segment to the area of the circle.P(red shaded area) = Area of the segment/Area of the circleP(red shaded area) = 6.28/(16π)P(red shaded area) = 0.125 or 12.5%Therefore, the required probability is 12.5%.Hence, the answer is 12.5%.
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The difference of the two numbers is 2 The sum of the same two numbers is 6. Write the numbers from least to greatest.
Answer:
2 and 4
Step-by-step explanation:
The difference of 4 and 2 is 2 because 4-2=2, and this matches the first part of the question. 4+2=6, and this is true because it matches the second part of the question. Hope this helps and please mark brainliest! :D
Q9.
Gavin bought 3 pairs of jeans in the USA.
He paid a total of $72
Gavin sold the 3 pairs of jeans in England,
He sold each pair of jeans for £34.50
£1 = $1.34
Work out Gavin's percentage profit.
Give your answer correct to the nearest whole number.
Answer:
Gavin made a Profit of $66.69 that is 93% Profit
Step-by-step explanation:
First, we calculate the Selling Price of Jeans after converting from GBP to USD on the given rate:
Rate: £1 = $1.34
Quantity: 3
Price in USD = Selling Price per pair * Rate in USD
£34.50 * 1.34 = $46.23 per pair of jeans.
Total Selling Price = Price Per Pair * Quantity
= 46.23 * 3
= $138.69
Total Profit = Total Selling Price - Total Cost Price
= $138.69-$72
= $66.69
Percentage of Profit = Total Profit / Total Cost Price
=66.69 / 72
=92.65
Therefore, the Profit Percentage is 92.65 % the nearest whole number would be 93%
To calculate Gavin's percentage profit, find the difference between the selling price and the buying price, and calculate the percentage of the buying price that the profit represents.
Explanation:To calculate Gavin's percentage profit, we need to find the difference between the selling price and the buying price, and then calculate the percentage of the buying price that the profit represents.
First, convert the selling price of each pair of jeans from pounds to dollars. Since £1 = $1.34, each pair of jeans sold for $34.50 x 1.34 = $46.23.Next, calculate the total selling price by multiplying the selling price of each pair by the number of pairs: $46.23 x 3 = $138.69.Then, calculate the profit by subtracting the total buying price from the total selling price: $138.69 - $72 = $66.69.Finally, calculate the percentage profit by dividing the profit by the total buying price and multiplying by 100: ($66.69 / $72) x 100 ≈ 92.6%.Gavin's percentage profit is approximately 92.6%.
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The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and the chicken wrap costs $1.90. Today they made $78.60 from the 57 wraps sold. How many of the wraps so ld were vegetarian?
Please Help asap, if your answer is correct u will be marked brainliest and will get 20 points. (no links please)
Answer: (-2,4)
Step-by-step explanation:
A solution is an intersection point between the parabola and the linear function. We can see 2 intersections, one of which is (-2,4)
Therefore, (-2,4) is the solution.
help please anybody hmm
Answer:
94.6-18.8=75.8
75.8 is the answer
Step-by-step explanation:
Hope this helps
May i get braineist pls?
find the solution to the system of equations.
How large should we choose n so that the trapezoid-rule approximation, Tn, to the integral sin r dz is accurate to within 0.00001? (Use the error bound given in Section 5.9 of the course text.)
The trapezoidal rule is a numerical integration method that uses trapezoids to estimate the area under a curve. The trapezoidal rule can be used for both definite and indefinite integrals. The trapezoidal rule approximation, Tn, to the integral sin r dz is given by:
Tn = (b-a)/2n[f(a) + 2f(a+h) + 2f(a+2h) + ... + 2f(b-h) + f(b)]where h = (b-a)/n. To determine how large n should be so that Tn is accurate to within 0.00001, we can use the error bound given in Section 5.9 of the course text. According to the error bound, the error, E, in the trapezoidal rule approximation is given by:E ≤ ((b-a)³/12n²)max|f''(x)|where f''(x) is the second derivative of f(x). For the integral sin r dz, the second derivative is f''(r) = -sin r. Since the absolute value of sin r is less than or equal to 1, we have:max|f''(r)| = 1.
Substituting this value into the error bound equation gives:E ≤ ((b-a)³/12n²)So we want to choose n so that E ≤ 0.00001. Substituting E and the given values into the inequality gives:((b-a)³/12n²) ≤ 0.00001Simplifying this expression gives:n² ≥ ((b-a)³/(0.00001)(12))n² ≥ (b-a)³/0.00012n ≥ √(b-a)³/0.00012Now we just need to substitute the values of a and b into this expression. Since we don't know the upper limit of integration, we can use the fact that sin r is bounded by -1 and 1 to get an upper bound for the integral.
For example, we could use the interval [0, pi/2], which contains one full period of sin r. Then we have:a = 0b = pi/2Plugging in these values gives:n ≥ √(pi/2)³/0.00012n ≥ 5073.31Since n must be an integer, we round up to the nearest integer to get:n = 5074Therefore, we should choose n to be 5074 so that the trapezoidal rule approximation, Tn, to the integral sin r dz is accurate to within 0.00001.
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A company that produces ribbon has found that the marginal cost of producing x yards of fancy ribbon is given by C′(x)=−0.00002x2−0.04x+55 for x≤900, where C′(x) is in cents. Approximate the total cost of manufacturing 900 yards of ribbon, using 5 subintervals over [0,900] and the left endpoint of each subinterval. The total cost of manufacturing 900 yards of ribbon is approximately $ (Do not round until the final answer. Then round to the nearest cent as needed).
The approximate total cost of manufacturing 900 yards of ribbon using left endpoints of 5 subintervals is $485.88.
To approximate the total cost, we'll use the left endpoint Riemann sum. First, we divide the interval [0,900] into 5 equal subintervals of width Δx = 900/5 = 180. Next, we evaluate the marginal cost function C'(x) at the left endpoints of each subinterval.
Using the left endpoint of the first subinterval (x = 0), C'(0) = -0.00002(0)^2 - 0.04(0) + 55 = 55 cents. Similarly, we compute C'(180) = 51.80, C'(360) = 48.20, C'(540) = 44.40, and C'(720) = 40.40 cents.
Now we can calculate the approximate total cost using the left Riemann sum formula: Δx * [C'(0) + C'(180) + C'(360) + C'(540) + C'(720)]. Plugging in the values, we get 180 * (55 + 51.80 + 48.20 + 44.40 + 40.40) = 180 * 240.80 = 43,344 cents.
Finally, we convert the total cost to dollars by dividing by 100: 43,344 / 100 = $433.44. Rounded to the nearest cent, the approximate total cost of manufacturing 900 yards of ribbon is $485.88.
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Find the volume of a pyramid with a square base, where the perimeter of the base is 5.1 in 5.1 in and the height of the pyramid is 2.7 in 2.7 in. Round your answer to the nearest tenth of a cubic inch.
The volume of the square pyramid, to the nearest tenth, is determined as: 1.5 cubic inch.
How to Find the Volume of a Square Pyramid?Volume of a pyramid is given as, V = 1/3 × a² × h, where:
a = side length of the square base
h = height of the pyramid
Given the following:
Perimeter of the base = 5.1 in.
Side length of the square base = 5.1/4
The height of the pyramid = 2.7 in.
Plug in the values into V = 1/3 × a² × h:
Volume of the square pyramid = 1/3 × (5.1/4)² × 2.7
Volume of the square pyramid = 1/3 × 1.625625 × 2.7
Volume of the square pyramid = 1.4630625
Volume of the square pyramid = 1.5 cubic inch (to the nearest tenth of a cubic inch).
Thus, the volume of the square pyramid with the given perimeter, to the nearest tenth, is determined as: 1.5 cubic inch.
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In both the Vendor Compliance at Geoffrey Ryans (A) and
Operational Execution at Arrows Electronics there are problems and
challenges. Integrate the problems and challenges from both
cases.
In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.
One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.
Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.
Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.
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7. Ifa = 3an * db = - 2 . find the values of: (a + b)ab
The Values of (a+b)ab are undefined.
Given that, a = 3an and db = -2We need to find the values of (a+b)
Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1
From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),
we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0
Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined
Therefore, the values of (a+b)ab are undefined.
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