The Term to term rule for 28 25 22 19 16 is 25 + 3n.
What is an arithmetic sequence?An arithmetic sequence simply means an ordered set of numbers which have a common difference between the consecutive term.
Based on the information, it should be noted that the formula for an arithmetic sequence will be:
= a + (n - 1)d
a = first term = 28
d = common difference = 25 - 28 = 3
Therefore, the sequence will be illustrated as:
a + (n - 1)d
28 + (n - 1)3
= 28 + 3n - 3
= 25 + 3n
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(picture attached) help please
Answer:
l think the answer of this question is 255°
OLEASE HELPP ILL GIVE 30 points
Answer: The correct answer is c
Step-by-step explanation: Can I get brainliest for the correct answer pls and you're welcome but I'm not being rude.
Does this represent a function?
The wholesale cost of a set of patio furniture is $310.40. The markup for the set is 35%. Find the selling price of the furniture set to the nearest
cent.
(please help!)
if x=5, y=-3, and z=-7 z=-7, evaluate 3x^2-9y/yz
Complete this formal proof of B from ~A and AvB in as few lines as possible.
Do cases from left to right! (Left-hand disjunct is the first case.)
1. ~A
2. AvB
Premise
3. |
4. |
5. |
6. |
7.
8.
The formal proof of B from ~A and AvB is completed.
To complete this formal proof of B from ~A and AvB in as few lines as possible, follow these steps:
1. ~A (Premise)
2. AvB (Premise)
3. Assume ~A (Left-hand disjunct, 1st case)
4. B (Disjunction elimination on 2 with 3, i.e., since ~A is true, and AvB is true, B must be true)
5. Assume A (Right-hand disjunct, 2nd case)
6. B (Contradiction elimination on 1 and 5, i.e., A cannot be true since ~A is true, so B must be true)
7. B (Disjunction elimination on 2 with 3-4 and 5-6, i.e., since B is true in both cases, we can conclude B is true)
So, the formal proof of B from ~A and AvB is completed in 7 lines.
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Answer my math question I asked so many times I lost most of points by
WRITE STATEMENT INTO SYMBOLS For each continuous real valued function on [0,1], there is a number M such that for all x in the interval [0,1] we have that the absolute value of f(x) is below M. Hint: Define a family to help you express better what you want.
For all functions f mapping the interval [0, 1] to the set of real numbers, there exists an M greater than 0 such that for all x in [0, 1], the absolute value of f(x) is less than or equal to M.
Given that for each continuous real valued function on [0,1], there is a number M such that for all x in the interval [0,1] we have that the absolute value of f(x) is below M.
Statement: Let f be a continuous real-valued function on [0, 1]. Then there exists an M > 0 such that |f(x)| ≤ M for all x ∈ [0, 1].
Symbolic Statement: ∀f: [0,1] → ℝ∃M>0 ∀x∈[0,1] |f(x)|≤M.
The above symbolic statement is read as:
For all functions f mapping the interval [0, 1] to the set of real numbers, there exists an M greater than 0 such that for all x in [0, 1], the absolute value of f(x) is less than or equal to M.
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TESTS On a tet, Matilda anwered 12 out of the firt 15 problem correctly. If thi rate continue, how many of the next 25 problem will he anwer correctly?
Matilda answered 12 out of the first 15 problem correctly. If this rate continue, 20 of the next 25 problem will he answer correctly.
First let's set the facts:
A) Total answers: 15
C) Correct answers: 12
B) Problems to solve: 25
D) Next correct answers: x
Now we have three known values and an unknown one, and what we are going to do is a cross multiplication.
A/B = C/D
We multiply the numerator of each side by the denominator of the other side, crossing the terms over.
A x D = B x C
15 x X = 25 x 12
15X = 300
X= 300/15
X = 20
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Which of the following has a graph that is a straight line? (4 points)
Group of answer choices
Equation 3: y = 12x + 17
Equation 4: y4 = 2x − 1
Equation 2: y = 14x5 − 4
Equation 1: y = 5x2 + 41
Answer:
Equation 3
Step-by-step explanation:
Answer:
Equation 3 or A, according to the order of the questions.
Simplify (4x - 6) – (5x + 1). (1 point)
оа
Ob
-X +7
ос
X - 7
Od
-X - 7
Answer:
value of x +×+= - so 2 ¥ is an
Researchers want to study behaviors in lions. They
observe the social interactions of various groups of lions
living in zoos.
What are two limitations of this model?
A. Lions in a zoo are not related to lions in the wild, so they cannot
be compared.
B. The environment of the zoo may cause the lions to behave
differently than they would in a natural habitat.
C. Observing lions in a zoo would be just as dangerous to the
researchers as observing them in the wild.
D. The presence of the researchers may affect the lions' behavior.
Answer: A and D
Step-by-step explanation:
This is the REAL correct answer.
Answer: B. The environment of the zoo may cause the lions to behave
differently than they would in a natural habitat.
and
D. The presence of the researchers may affect the lions' behavior.
Step-by-step explanation: Studying lion behavior in zoos has limitations. The artificial environment of a zoo can affect how lions behave compared to their behavior in the wild. Additionally, the presence of researchers may influence the lions' behavior, making it difficult to observe and understand their natural interactions.
B. The environment of the zoo may cause the lions to behave differently than they would in a natural habitat.
In a zoo, lions are confined to a limited space and are provided with a controlled environment. This artificial setting may not accurately reflect their natural habitat and can influence their behavior. For example, the availability of food, different social dynamics, and reduced hunting opportunities in a zoo can lead to altered behaviors that may not be representative of how lions behave in the wild.
D. The presence of the researchers may affect the lions' behavior.
When researchers observe animals in a zoo, their presence can influence the behavior of the lions. The presence of unfamiliar humans can cause the animals to become more cautious, stressed, or exhibit abnormal behavior. This could potentially alter the social interactions and dynamics observed by the researchers, making it challenging to accurately understand and interpret natural lion behavior.
Giuseppi's Pizza had orders for $841.00 of pizzas. The prices were $17 for a large pizza, $14 for a medium pizza, and $10 for a small pizza. The number of large pizzas was two less than three times the number of medium pizzas. The number of small pizzas was two more than three times the number of medium pizzas. How many of each size of pizza were ordered? The number of medium size pizzas is __ (Type a whole number.)
The number of medium size pizzas ordered is 9. To determine the number of medium size pizzas ordered, we need to solve a system of equations based on the given information.
Let's denote the number of large pizzas as "L," the number of medium pizzas as "M," and the number of small pizzas as "S." The total cost of the pizzas can be expressed as 17L + 14M + 10S = 841. The second equation states that L = 3M - 2, and the third equation states that S = 3M + 2.
Let's denote the number of large pizzas as "L," the number of medium pizzas as "M," and the number of small pizzas as "S." According to the given information, we can form the following equations:
Equation 1: 17L + 14M + 10S = 841 (Total cost equation)
Equation 2: L = 3M - 2 (Number of large pizzas equation)
Equation 3: S = 3M + 2 (Number of small pizzas equation)
We want to find the value of M, which represents the number of medium size pizzas ordered.
Substituting the values of L and S from equations 2 and 3 into equation 1, we have:
17(3M - 2) + 14M + 10(3M + 2) = 841.
Expanding and simplifying further:
51M - 34 + 14M + 30M + 20 = 841,
95M - 14 = 841,
95M = 855,
M = 855 / 95.
Evaluating the expression:
M = 9.
Therefore, the number of medium size pizzas ordered is 9.
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Calcular la altura, h de un arbol sabiendo que, si nos situamos 8 metros de la base del tronco, vemos la parte superior de su copa en un angulo de 36.87*
Utilizando trigonometría, veremos que la altura del arbol es 6m.
¿Como obtener la altura del arbol?
Podemos visualizar la situación como un triangulo rectangulo.
La altura del arbol será el cateto opuesto al angulo de 36.87°.
La distancia a la base del tronco, que es 8 metros, será el cateto adjacente a dicho angulo.
Entonces, podemos usar la relacion:
tan(θ) = (cateto opuesto)/(cateto adjacente).
Reemplazando lo que conocemos, y definiendo:
altura = cateto opuesto = H.
tendremos:
tan(36.87°) = H/8m
Resolviendo para H:
H = tan(36.87°)*8m = 6m
Así, concluimos que la altura del arbol es 6m.
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The ratio of red foxes to gray wolves in a national park is 3 to 7.
Which is a true statement about the populations of the two animals in the national park?
A.
For every 6 red foxes there are 13 gray wolves.
B.
For every 15 red foxes there are 28 gray wolves.
C.
For every 27 red foxes there are 63 gray wolves.
D.
For every 63 red foxes there are 27 gray wolves.
Answer:
c
Step-by-step explanation:
I hope this helpssssssss
Determine if the correlation between the two given variables is likely to be positive or negative, or if they are not likely to display a linear relationship.
your daily calorie intake and your GPA
The correlation between your daily calorie intake and your GPA is not likely to be immediately apparent, and it would require further investigation to determine whether there is a positive or negative correlation, or no linear relationship between the two variables.
It is difficult to predict the correlation between your daily calorie intake and your GPA as they are not obviously related variables. However, it is possible that there may be a weak or indirect relationship between the two variables.
If a person is consuming a well-balanced diet with the right amount of nutrients, vitamins, and minerals, they may have the energy and focus necessary to perform well academically. In this case, there may be a positive correlation between calorie intake and GPA. Alternatively, if a person is consuming an excessive amount of calories from unhealthy foods, they may be more likely to experience health problems that could impact their academic performance. In this case, there may be a negative correlation between calorie intake and GPA.
On the other hand, there may be no direct linear relationship between the two variables, and other factors such as sleep, stress, exercise, and overall health may have a greater impact on academic performance than daily calorie intake.
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The tree diagram shows Leila's choices for dinner at a restaurant. How many possible dinner combinations exist?
Based on the tree diagram, there are a total of 12 possible dinner combinations for Leila.
Define combinations?
In mathematics, combinations are a way to count the number of ways to choose a subset of items from a larger set, where the order of the chosen items does not matter. The number of combinations is often denoted using the symbol "n choose k", where n is the total number of items and k is the number of items being chosen.
To see why, we can count the number of paths through the tree diagram. Starting at the top, there are 2 choices for the type of dips: Guacamole dip or Cheese dip. For each of these choices, there are 2 choices for the dessert : Burrito and Enchilada. Finally, for each main course, there are 2 choices for the main course: Chicken and Beef.
Multiplying the number of choices at each step, we get:
2 (choices for dips) x 2 (choices for dessert) x 2 (choices for main course) = 8 possible dinner combinations.
Therefore, there are 3 possible dinner combinations for Leila.
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Choose the correct statement. Consider the sum of 3V8 and 2V18
A
The sum of two irrational numbers is irrational,
B
The sum of two irrational numbers is rational
С
The sum of one rational number and one irrational number is irrational
D
The sum of one rational number and one irrational number is rational
Answer:
i think its B............
Pls help me find the circumference of a circle with a diameter of 28 ft. let π=22/7
Step-by-step explanation:
We know that
Circumference of the Circle= 2πr
Also 2r=d
Hence Circumference of the given circle= πd= (22/7)×28=22×4=88 ft
An exterminator estimates that a house has approximately 64,000 ants. After treating the house with a repellent, the ant population
decreases at a rate of 8% per hour.
Which equation represents this situation where y is the number of ants remaining after x hours?
Answer:
y = -0.08x + 64,000
Step-by-step explanation:
Assuming a linear relationship between number of ants remaining and hours, this problem uses slope intercept form (y=mx+b) where m is the slope and b is the y-intercept.
The slope for this problem (m) is the rate, -8% which is -0.08
The y-intercept can be solved for by rearranging the slope intercept equation to solve for b: b=y-mx
The specific y-intercept can be found by substituting in y=64,000 ants at x=0 hours: b=64,000 - (-0.08×0) = 64,000 - 0 = 64,000
The slope intercept equation for this problem is now y = -0.08x + 64,000
suppose that an
and
bn
are series with positive terms and bn ia convergent prove that if lim an/bn =0 then an is also convergent
show that the series congerges lnn/n3 lnn/n^1/2 en
The series on the right-hand side is a convergent p-series with p = 2. Therefore, by the comparison test, the original series converges as well.
To prove that if lim an/bn = 0 and bn is convergent, then an is also convergent, we can use the limit comparison test. Since bn is convergent, we know that its terms approach 0. Therefore, we can choose a positive number ε such that 0 < ε < bn for all n. Then, we have:
lim (an/bn) = 0
=> for any ε > 0, there exists N such that for all n > N, |an/bn| < ε
=> for all n > N, an < εbn
Since ε is a positive constant and bn is convergent, we know that εbn is also convergent. Therefore, by the comparison test, an is convergent as well.
To show that the series ∑(ln n)/(n^3 ln n^1/2 e^n) converges, we can use the comparison test again. Note that:
ln n^1/2 = (1/2)ln n
ln n^3 = 3ln n
Therefore, we can rewrite the series as:
∑[(1/2)/(n^2 e^(ln n))] = (1/2)∑(1/(n^2 n^ln(e)))
Since n^ln(e) > 1 for all n, we have:
(1/2)∑(1/(n^2 n^ln(e))) < (1/2)∑(1/n^2)
The series on the right-hand side is a convergent p-series with p = 2. Therefore, by the comparison test, the original series converges as well.
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Please help me with this please.
Answer:
f(-2) = -1
f(0) = -5
f(4) = -1
Step-by-step explanation:
The number inside of f( ) is telling you which equation to use to get the answer.
Example:
f(-2) since -2 is less than 0 you would use (x^2) - 5. So, ((-2)^2) - 5 = 4-5 = -1
f(0) since 0 is less than or equal to 0 you would use (x^2) - 5 again. So, ((0)^2) - 5 = 0-5 = -5
f(4) since 4 is grater than 3 you would use (2^(x-1)) - 9. So, (2^(4-1)) - 9 = -1
The Graph, try to make it as straight as possible
ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
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abc is a right triangle with ab=ac. bisector of <a meets bc at d. prove that bc = 2ad.
Answer:
Let ac=ab=5
With this, bc= 5√2
Step-by-step explanation:
So to find ad, Let ad be x
5√2=(2)(x)
(5√2/2)= x
This proves that bc=2ad
The speedometer on Leona's car
ws the speed in both miles per
and kilometers per hour. Using
the mile per hour rate that is
valent to 40 kilometers per hour.
Answer: 24.86miles/hr
Step-by-step explanation: Divide the speed by 1.609 to convert
the equilibrium price is the price at which the quantity
The equilibrium price is the price at the equilibrium price is the price that brings supply and demand into balance, ensuring that the market clears and there is neither a shortage nor a surplus of goods.
The equilibrium price is the price at which the quantity demanded by consumers equals the quantity supplied by producers in a market. It is the point of balance between supply and demand.
At the equilibrium price, there is no shortage or surplus of goods in the market. The quantity demanded by consumers at that price matches the quantity supplied by producers, resulting in a state of market equilibrium.
If the price is set above the equilibrium price, there will be a surplus of goods because the quantity supplied exceeds the quantity demanded. Producers will be left with excess inventory, and they may need to lower the price to sell their goods.
On the other hand, if the price is set below the equilibrium price, there will be a shortage of goods because the quantity demanded exceeds the quantity supplied. Consumers will be willing to buy more goods at the lower price, and producers may need to raise the price to meet the increased demand.
Therefore, the equilibrium price is the price that brings supply and demand into balance, ensuring that the market clears and there is neither a shortage nor a surplus of goods.
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Worth 50 points and brainliest for anyone who answer this correctly(with solution ofc)
MEAN: =29.42
THE MEDIAN:
\((29 + 36) \times \frac{1}{2} = 32.5\)
that's my answer hope it helps
Answer:
46878954575
Step-by-step explanation:
the average person takes 10,000 steps a day is this discrete or continuous
Item 2
Question 1
Solve 6x≥−42. Graph the solution.
Answer:
x ≥ -7
Step-by-step explanation:
Divide both sides by 6
Then to graph it, you can make a number line
Answer:
Step-by-step explanation:
Solve 6x ≥ − 42for x by dividing both sides by 6. We get:
x ≥ − 7
Now draw a vertical line (solid) through x = -7.
Finally, shade the area including and to the right of x = -7.
8) Simplify.
5(3x – 3) + 4(6x - 12)
Answer:
39x - 63
Step-by-step explanation:
5(3x - 3) + 4(6x - 12) ← distribute both parenthesis
= 15x - 15 + 24x - 48 ← collect like terms
= 39x - 63