The evaluated double Integral is:
(1/2) * e^(4) - (5/2)
Let's consider the given limits for integration and the function:
Function: f(x, y) = x * e^(xy)
Limits: 0 ≤ x ≤ 2, 0 ≤ y ≤ 1
To evaluate the double integral, we'll integrate with respect to y first, and then with respect to x:
∬(x * e^(xy)) dy dx
First, let's integrate with respect to y:
∫(x * e^(xy)) dy = x * ∫(e^(xy)) dy
To integrate e^(xy) with respect to y, we'll use substitution:
u = xy
du/dy = x
dy = du/x
Now, substitute u into the integral:
∫(x * e^(xy)) dy = x * ∫(e^u * (du/x))
The x terms cancel out, so we have:
∫(x * e^(xy)) dy = ∫(e^u) du
Now, integrate with respect to u:
∫(e^u) du = e^u + C = e^(xy) + C
Now, let's integrate with respect to x:
∫(∫(x * e^(xy)) dy) dx = ∫(e^(xy) + C) dx
Now, we apply the limits:
For y: [e^(xy) + C] from 0 to 1
= [(e^(2x) + C) - (e^(0) + C)]
= [e^(2x) - 1]
For x: ∫([e^(2x) - 1]) dx from 0 to 2
Now, integrate with respect to x:
= [(1/2) * e^(2x) - x] from 0 to 2
Apply the limits:
= [(1/2) * e^(4) - 2] - [(1/2) * e^(0) - 0]
= [(1/2) * e^(4) - 2] - (1/2)
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Items 7-8. Suppose XY has one
endpoint at X(0, 0).
7. If (3, 4) is the midpoint of XY, what
are the coordinates of point Y?
Answer:(6,8)
Step-by-step explanation: I didn't use a formula, but since (3,4) was the midpoint I went out three more and up four more, which got me to (6,8).
what makes a good regression model? significant independent variables including the largest possible number of variables dropping all insignificant variables from the model a significant intercept and dependent variable
Significant independent variables makes a good regression model.
A reasonable high R-squared score makes sense if your regression model includes independent variables that are statistically significant. According to the statistical significance, shifts in the dependent variable are correlated with changes in the independent variables.
Accordingly, a high R-squared value shows that your model adequately accounts for the variation in the dependent variable.
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Hi please help? I am having trouble solving this.
Answer:
Step-by-step explanation:
2x+41= 127(opposite angles are equal)
2x= 127-41
2x= 86
x= 86/2
x= 43°
Hanna planted 5 ferns yesterday and can plant 7 additional ferns an hour. Amir planted 6 ferns yesterday and can plant an additional 5 ferns an hour. Hanna and Amir will plant ferns for h hours today.
Write an expression to represent the total number of ferns Hanna will have planted.
please help this is overdue :(
Write an expression to represent the total number of ferns Amir will have planted.
Write an expression to represent the total number of ferns both Hanna and Amir will plant altogether. Simply the expression completely. Show your work.
Expressions for this information would be: Hana ferns f(x) = 7(x) + 5, Amir ferns f(y) = 5(y) + 6, both ferns = 7(x) + 5(y) + 13.
How to create an expression for these problems?To create an expression for each of the situations, we must take into account the number of ferns that each of the characters plants per hour. Additionally, we must identify what would be the way to relate the data of both characters in a single expression. According to the above, the expressions would look like this:
Hana ferns f(x) = 7(x) + 5In this expression, the x is multiplied by 7 because that is the number of plants you plant per hour; and the +5 represents the number of plants you planted the day before.
Amir's ferns f(y) = 5(y) + 6In this expression, the Y is multiplied by 5 because that is the number of plants you plant per hour; and the +6 represents the number of plants you planted the day before.
Finally, the expression that would represent both situations would be:
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100 POINTS!!!
Find the slope of the line passing through the points (9, 3) and (9, -6).
Answer:
The angle of incline is: 270°
Step-by-step explanation:
The slope of (9, 3) and (9, -6) is undefined,
but the angle of incline is 270°.
A second investment account starts with $2,000 and grows by $150 each year. Which graph shows the values of this account?
Answer:
Visually, you should be seeing a linear graph because this problem can be represented as a linear equation: y = 150x + 2000. Graph this equation to find the answer.
Step-by-step explanation:
6(n-3)-2n=10 what should i use for n
Answer:
Step-by-step explanation:
6n-18-2n=10
4n-18=10
4n-28
n=-7
Answer:
n = 7
Step-by-step explanation:
6(n - 3) - 2n = 10
(6n - 18) - 2n = 10
+ 18 + 18
6n - 2n = 28
4n = 28
/4 /4
n = 7
Janet was left with 7.5M of a certain material after she gave out 250CM to her sister. What percentage of the material was left ?
Answer:
-94.2
Step-by-step explanation:
7.5 + 250 = 257.2
7.5-250=-242.2
-242.2/257.2 x 100
Does Anyone know this answer:)
Answer: x = 10
Step-by-step explanation:
8x = 6x +20
2x = 20
X = 10
Check:
8(10) = 6(10) + 20
80 = 60 + 20
80 = 80
Can someone help please?
figure A is a scale copy of figure B
The value of x is 42.
To determine the value of x, we need to analyze the given information regarding the scale factor between Figure A and Figure B.
The scale factor is expressed as the ratio of the corresponding side lengths or dimensions of the two figures.
Let's assume that the length of a side in Figure B is represented by 'x'. According to the given information, Figure A is a scale copy of Figure B with a scale factor of 2/7. This means that the corresponding side length in Figure A is 2/7 times the length of the corresponding side in Figure B.
Applying this scale factor to the length of side x in Figure B, we can express the length of the corresponding side in Figure A as (2/7)x.
Given that the length of side x in Figure B is 12, we can substitute it into the equation:
(2/7)x = 12
To solve for x, we can multiply both sides of the equation by 7/2:
x = (12 * 7) / 2
Simplifying the expression:
x = 84 / 2
x = 42
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PLEASE HELP, I WILL MARK YOU BRANIEST, PLEASE EXPLAIN AND GIVE AN ACCURATE ANSWER 1) Each letter of the word "MATHEMATICS" is written on a separate slip of paper and placed in a hat. A letter is chosen at random from the hat. What is the probability of choosing "M" on your first try? 2) Suppose you choose an “M” on your first try. You keep the slip of paper (do not replace it in the hat) and go for another letter. What is the probability of getting another “M”?
Step-by-step explanation:
Total letters = 11
Probability of letter M = 2/11
Probability of second M = 1/10
Stefani took a science test. she answered 42 questions correctly. There were 50 questions on the test. What percent of the questions did she get right?
Answer:
She get 84% right
Step-by-step explanation:
42 x 2 = 84
50 x 2 = 100
Answer:
84%
this is the picture of how I solved it.
hope you understand.
Based on the complementary slackness, which values are not possible for decision variable x and its corresponding reduced cost? x=20 Reduced cost=−4 x=0 Reduced cost=−4 x=0 Reduced cost=0 x=20 Reduced cost=0
x = 0 and Reduced cost = -4: This combination is not possible for decision variable x and its corresponding reduced cost.
Based on the complementary slackness condition in linear programming, the values of the decision variable x and its corresponding reduced cost can provide insights into the feasibility and optimality of the solution.
In the given scenarios:
x = 20 and Reduced cost = -4:
This combination is possible as a non-zero value of x with a negative reduced cost indicates that x is a non-basic variable and has a potential to increase in order to improve the objective function value.
x = 0 and Reduced cost = -4:
This combination is not possible because if x is a non-basic variable with a reduced cost of -4,
it implies that increasing x from zero would improve the objective function value, violating the complementary slackness condition.
x = 0 and Reduced cost = 0:
This combination is possible as x can be a basic variable with a reduced cost of zero,
indicating that it is at its lower bound and does not need to change.
x = 20 and Reduced cost = 0:
This combination is possible as a non-zero value of x with a reduced cost of zero implies that x is a non-basic variable and has already reached its upper bound,
so it does not need to change to improve
the objective function value.
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NEED ANSWERS NOW!!! Solve for x.
Answer:
im not sure i got stuck here ;; but i started sort of
Step-by-step explanation:
The first step is to get the inner angles. I'll start with the one at 60 degrees and call it A and go counter clockwise
A flat angle is 180 and -60 makes it 120 = Angle A
180-100=80=B
180-20=160=C
Then when you're trying to calculate a figure with more than 4 corners, you're supposed to divide them into triangles. Now we have a hexagon and the total degrees is 720. And we know that we have 2 6x and they're the angles
Solve the linear equations
2y - 2x = - 30
x = 3y + 9
Answer:
1. Slope= 1.000
2. Slope= 0.333
Step-by-step explanation:
Hope this helps, If you need the x and y-intercepts just let me know and I can edit.
Brain-List?
Answer:
the solution is (18, 3)
Step-by-step explanation:
Let's first eliminate x. Multiply the second equation by 2, obtaining
2x = 6y + 18
Then add this result to the first equation 2y - 2x = -30:
2x = 6y + 18
2y - 2x = -30
-------------------- or
2x = 6y + 18
-2x = -30 - 2y
--------------------
0 = 4y - 12, which yields y = 3.
Substitute 3 for y in the second equation to obtain the value of x:
x = 3(3) + 9, or x = 18
Then the solution is (18, 3).
Note that we could do this faster by reducing 2y - 2x = -30 to y - x = -15
Then the second equation becomes x = 3(y) + 9, or
x = 3y + 9, with x = 18
Then 18 = 3y + 9, or 3y = 9, or y = 3 (as before)
In a population of 19,100 subjects, 34% possess a certain characteristic. In a sample of 150 subjects selected from this population, 30% possess the same characteristic. How many subjects in the population and sample, respectively, possess this characteristic
To determine how many subjects in the population and sample possess the characteristic, we can use proportions.
In the population:
Total population = 19,100
Proportion with the characteristic = 34% = 0.34
Number of subjects in the population with the characteristic:
= Proportion with the characteristic * Total population
= 0.34 * 19,100
≈ 6,514 subjects
In the sample:
Sample size = 150
Proportion with the characteristic = 30% = 0.30
Number of subjects in the sample with the characteristic:
= Proportion with the characteristic * Sample size
= 0.30 * 150
= 45 subjects
Therefore, approximately 6,514 subjects in the population possess the characteristic, and 45 subjects in the sample possess the characteristic.
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What are the Nash equilibria in this game?
Both (P1=Shot, P2=Shot) and (P1=No shot, P2=No shot)
Only (P1=Shot, P2=No shot)
Both (P1=Shot, P2=No shot) and (P1=No shot, P2=shot)
the Nash equilibrium is not necessarily the best or most desirable outcome for the players involved. It simply represents a stable state where no player has an incentive to unilaterally deviate from their chosen strategy.
To determine the Nash equilibria in a game, we need to analyze the strategies of each player and identify the combinations of strategies where no player has an incentive to unilaterally deviate.
Given the options:
1. (P1=Shot, P2=Shot)
2. (P1=No shot, P2=No shot)
3. (P1=Shot, P2=No shot)
4. (P1=No shot, P2=Shot)
Let's analyze each combination:
1. (P1=Shot, P2=Shot):
If both players choose to shoot, they both face the risk of being shot and getting injured. Neither player has an incentive to deviate from this strategy, as changing to "No shot" would expose them to the risk of being shot without being able to retaliate. Therefore, (P1=Shot, P2=Shot) is a Nash equilibrium.
2. (P1=No shot, P2=No shot):
If both players choose not to shoot, they avoid the risk of being injured. Again, neither player has an incentive to unilaterally deviate from this strategy, as changing to "Shot" would expose them to the risk of being injured without gaining any advantage. Therefore, (P1=No shot, P2=No shot) is a Nash equilibrium.
3. (P1=Shot, P2=No shot):
If Player 1 chooses to shoot while Player 2 chooses not to shoot, Player 1 has an advantage and can potentially eliminate Player 2 without being injured. In this scenario, Player 2 may have an incentive to deviate from "No shot" and switch to "Shot" to protect themselves. Therefore, (P1=Shot, P2=No shot) is not a Nash equilibrium.
4. (P1=No shot, P2=Shot):
Similarly, if Player 1 chooses not to shoot while Player 2 chooses to shoot, Player 2 has an advantage and can potentially eliminate Player 1 without being injured. In this scenario, Player 1 may have an incentive to deviate from "No shot" and switch to "Shot" to protect themselves. Therefore, (P1=No shot, P2=Shot) is not a Nash equilibrium.
Based on the analysis, the Nash equilibria in this game are:
- (P1=Shot, P2=Shot)
- (P1=No shot, P2=No shot)
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Analyze the proportion below and complete the instructions that follow.
2x+5 x-5
3
4
Solve the proportion for x
A. -7
B. -4
C-2
D. -1
Answer:
A
Step-by-step explanation:
A membrane separates a concentrated glucose solution from a dilute glucose solution. The membrane is permeable to water but not to glucose. Will the water move across the membrane by osmosis
Yes, water will move across the membrane by osmosis in this scenario.
Osmosis is the movement of water molecules across a semipermeable membrane from an area of lower solute concentration to an area of higher solute concentration. In this case, the membrane is permeable to water but not to glucose. Since the concentration of glucose is higher in the concentrated solution compared to the dilute solution, there is a concentration gradient across the membrane.
As a result, water molecules will move from the dilute glucose solution, where the solute concentration is lower, to the concentrated glucose solution, where the solute concentration is higher. This movement of water molecules through the membrane is driven by the osmotic pressure difference created by the concentration gradient of glucose. Therefore, water will move across the membrane by osmosis, while glucose molecules will not be able to pass through the membrane due to its impermeability to glucose.
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A cohort study is conducted to determine whether smoking is associated with an increased risk of bronchitis in adults over the age of 40. The findings are as follows:
-The frequency of bronchitis in the smokers is 27 per 1,000 person-years.
-The frequency of bronchitis in the non-smokers is 3 per 1,000 person-years.
What is the relative risk?
0.1111
0.999
9
0.0333
11 per 1,000
The relative risk of smoking on bronchitis in adults over the age of 40 is 9.
Relative risk is a ratio that is calculated by dividing the probability of an event occurring in an exposed group by the probability of the event occurring in a non-exposed group. The relative risk is used to determine whether an exposure is associated with an increased or decreased risk of disease.
Here, in this question, bronchitis is an event occurring in smokers and non-smokers. Since the event can occur in both smokers and non-smokers, the ratio of the probabilities of event occurrence between smokers and non-smokers can be calculated as follows:
Relative Risk = Frequency of event occurrence in smokers / Frequency of event occurrence in non-smokers
Substituting the given values in the above formula,
Relative Risk = 27 / 3
Relative Risk = 9
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Write an equation of a line which has a slope of -2 and goes through the point (-4,11)
Answer:
See answers below
Step-by-step explanation:
slope-intercept form- y=-2x+3
point slope form- y-11=-2(x+4)
Use the given slope and point to substitute into the point-slope formula
then you can solve for y=mx+b
In ΔJKL, the measure of ∠L=90°, the measure of ∠J=25°, and KL = 26 feet. Find the length of LJ to the nearest tenth of a foot.
Answer:
55.8 feet
I hope this helps people
I need help please help
Answer:
:) good day mate
Step-by-step explanation:
:) indeed
(Build your own model for this problem.) Kate’s Cakes is a boutique cake shop in AJ’s Fine Foods supermarket. Her cake supplier has agreed to deliver a fixed number of cakes every day for a week at $10 for each cake. At the end of the week, Kate may change her order for the following week. Kate has kept close track of daily cake demand. The number of cakes sold per day stays about the same over time on average but varies from day to day as shown in the table of value below:
Daily Demand: 1 2 3 4 5 6
Probability: .1 .2 .25 .25 .15 .05
Kate does not believe that being out of stock on a given day influences demand on future days; in particular, she believes that the demand distribution described above will hold on every day, seven days a week (Kate is open every day).
Kate’s initial inventory of cakes is zero. She always keeps any unsold cakes and tries selling them, at full price of $18, on the second or subsequent days. Since Kate is going on vacation in two weeks’ time (she will operate her boutique this coming week, for which she is now making the order, and she will operate her boutique the next week), any cakes left at that time (at the end of week 2) will be donated to charity.
Kate has retained you as a consultant to aid her in addressing the decision of how many cakes per day to order for this week. She would like to take the uncertainty of daily demand into account but she isn’t sure how to do that. She doesn’t feel that just averaging daily demand and ordering that amount is good enough (though it may be) and her upcoming vacation and desire to minimize the number of cakes that get donated has prompted her to call in a consultant. How many cakes per day should Kate order for this week?
Considerations
Remember that determining the best number to order this week should take into consideration what Kate is planning to do next week. Or vice versa.
a. How many cakes per day should Kate order for this week?
b. Make the number of cakes next week dependent on the number of left-overs at the end of this week. Does that change your estimate of how many should be ordered this week?
c. Left-over cakes can’t be sold later – they are just dumped at the end of the day. Does this change the number you want to order for this week?
d. Day-old cakes sell for $12 and two-day-old cakes are donated.
To determine how many cakes per day Kate should order for this week, we can calculate the expected profit for each possible daily order quantity and choose the one that maximizes profit.
(a) Here are the steps:
1. Calculate the profit for each possible demand, considering the cost of cakes ($10) and the selling price ($18).
2. Multiply the profit by the probability of each demand level.
3. Sum up the expected profits for all demand levels. Doing these calculations for all possible order quantities (1 to 6 cakes), we find that ordering 4 cakes per day maximizes the expected profit for this week.
(b) If the number of cakes next week depends on the number of leftovers at the end of this week, it will not change the estimate for this week. The reason is that we are still maximizing expected profit for this week, and any leftover cakes can be incorporated into next week's order.
(c) If leftover cakes can't be sold later and are dumped at the end of the day, we need to adjust the profit calculations. We still want to maximize the expected profit, but now we have to subtract the cost of unsold cakes. When we redo the calculations with this new information, the optimal order quantity might change, depending on the probabilities and profit margins.
(d) If day-old cakes sell for $12 and two-day-old cakes are donated, we need to adjust our profit calculations again. In this case, we have different selling prices for fresh cakes ($18), day-old cakes ($12), and two-day-old cakes ($0). Using these new prices, we can recalculate the expected profit for each order quantity and choose the one that maximizes the profit.
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a. Kate should order 4 cakes per week taking into consideration the uncertainty of demands.
b. The best strategy is still to order 4 cakes per day for this week and adjust the order for next week based on the leftovers.
c. Kate should order 3 cakes per day for this week to minimize waste.
d. the profit margins change if, day-old cakes sell for $12 and two-day-old cakes are donated.
a. To determine how many cakes per day Kate should order for this week, we need to estimate the number that maximizes her profit while minimizing the risk of having leftover cakes.
We can do this by calculating the expected profit for each possible order quantity and selecting the one that gives the highest profit.
We can calculate the number of cakes by following the steps
1. Multiply the daily demand by its probability, then sum these products to get the expected daily demand:
(1 * .1) + (2 * .2) + (3 * .25) + (4 * .25) + (5 * .15) + (6 * .05) = 3.4 cakes
2. Test different order quantities (from 1 to 6) and calculate the expected profit for each quantity.
3. Select the order quantity with the highest expected profit.
For this problem, Kate should order 4 cakes per day for this week.
b. If the number of cakes next week depends on the number of leftovers at the end of this week, the best strategy is still to order 4 cakes per day for this week and adjust the order for next week based on the leftovers.
c. If leftover cakes can't be sold later and are just dumped at the end of the day, we would want to minimize the risk of leftovers. In this case, Kate should order 3 cakes per day for this week to minimize waste while still maintaining a good probability of selling most of the cakes.
d. If day-old cakes sell for $12 and two-day-old cakes are donated, the profit margins change, and the expected profit calculation should be updated accordingly.
After recalculating, Kate should still order 4 cakes per day for this week, as the order quantity provides the highest expected profit with this new pricing structure.
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find the volume
6ft
3ft
4tt
Answer:
72 i think.
Step-by-step explanation:
suppose t is a linear transformation such that t 4 1 = 5 0 and t 2 2 = −2 6 . give the matrix a such that t(x) = ax.
The matrix A representing the linear transformation T is [5 -2; 0 6].
How to find matrix A for linear transformation T?To find the matrix A that represents a linear transformation T, we need to determine the images of the standard basis vectors under T and use them to form the columns of A. In this case, we are given that T(1,0) = (5,0) and T(0,1) = (-2,6). These correspond to the first and second columns of A, respectively. Therefore, the matrix A is:
A = [5 -2]
[0 6]
To apply T to any vector x, we simply multiply it by A:
T(x) = Ax
So, if we have a vector x = [x1, x2], we can calculate T(x) as follows:
T(x) = [5x1 - 2x2, 6x2]
Thus, A fully characterizes the transformation T and enables the computation of T(x) for any given vector x.
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1. Consider the expression R(s) = {Pr(s), V(s)}. Which of the following fundamental risk questions has V(s) as the answer?
A. What can be done about it?
B. What can happen?
C. How bad would it be?
2. Which of the following analytic techniques covered so far in class is an essential part of the weighted ranking method?
A. Pairwise Ranking
B. Eight Elements of Thought
C.Ratio Method
3. Consider two ball caps - one with the New York Yankees logo, and the other with the Philadelphia Phillies. Both cost the same amount of money to make, and both are equally available. Let's suppose it is the 2015 World Series, Game 7, between the Yankees and the Phillies. The Phillies win and as such, there is a rush in Philadelphia to celebrate by donning as much Phillies paraphernalia as possible. What is likely true about change in the value of the Phillies ball cap relative to the Yankees ball cap?
A. The value of Phillie's ball cap increases while the value of the Yankees cap decreases
B. Both ball caps decrease in value
C. The value of the Phillies ball cap decreases while the value of the Yankees cap increases
4. Economics prefer to think of value in the _______ sense, whereas philosopher prefers to think of value in the _______ sense.
A. subjective ... objective
B. economic ... philosophical
C. relative ... absolute
1. The fundamental risk question that has V(s) as the answer is this:
B. What can happen?
2. The analytic technique that is an essential part of the weighted ranking method is: C.Ratio Method
3. The statement that is likely true about the change in the value of the Phillies ball cap relative to the Yankees ball cap is this: A. The value of Phillie's ball cap increases while the value of the Yankee's cap decreases
4. Economics prefer to think of value in the subjective sense, whereas philosopher prefers to think of value in the objective sense.
How do Economists think of value?Economists tend to think of value in the subjective sense, which means relative to an individual. When thinking of the value of goods and services, economists try to ascertain whether the consumers are satisfied or not.
Also, for philosophers, value is viewed in the objective sense. This means that they try to analyze the inherent value of things as against individual opinions of what is valuable.
Fundamental risk refers to the kind of risks that can impact an entire economy. V in the equation represents what can happen given a particular economic move.
The ratio method is a weighted ranking method where the things that are to be decided upon are first ranked and weights such as 10 are assigned to each of them. To determine a change in value in the Yankees and Phillies, the first value is obtained and then compared with the most current value.
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A hypothesis test is to be performed for a population mean. Which of the following does the probability of a type II error not depend on?
options:
The significance level
The sample mean
The sample size
The true (population) mean
When a thesis test is being performed for a population mean, the probability of a type II error isn't dependent on the sample mean. Option B is the right answer.
A type II error occurs when a null thesis isn't rejected despite it being incorrect. It's worth noting that the threat of making a type II error is affected by several factors, including the sample size, the true population mean, the position of significance, and the variability of the data.
As a result, the larger the sample size, the lower the threat of making a type IIerror.The true population mean also has an impact on the liability of a type II error. As the difference between the true mean and the hypothecated mean grows, the threat of a type II error decreases.
The position of significance is also pivotal in determining the threat of a type II error. As the significance position increases, the threat of a type II error decreases.
So, the correct answer is B
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Find the indicated term of the arithmetic sequence with the given description.
The 100th term is - 1240, and the common difference is -25. Find the fifth term.
as = ?
The fifth term of the arithmetic sequence is -1190.
How to find the arithmetic sequence?An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. To find the fifth term, we can use the formula for the nth term of an arithmetic sequence:
aₙ = a₁ + (n - 1) * d
where aₙ represents the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.
Given that the 100th term is -1240 and the common difference is -25, we can substitute these values into the formula.
Since the fifth term corresponds to n = 5, we can calculate:
a₅ = -1240 + (5 - 1) * (-25)
= -1240 + 4 * (-25)
= -1240 - 100
= -1340
Therefore, the fifth term of the arithmetic sequence is -1190.
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