The nth term rule for the sequence as given in the task content is; T (n) = a + ( n - 1 ) d.
What is the nth term rule for the sequence as given in the task content?It follows from the task content that the nth term rule for the sequence which is as described is to be determined.
Since the sequence which is to be formed is defined from the grid as given starting from 57.
Hence, the first term of the sequence is; 57.
Also, since the sequence is found by reading down a column of the number grid; and each successive term in each column differs from the previous term by; 8.
Hence, the common difference of the sequence is; 8.
This therefore indicates that the sequence is an arithmetic progression and hence; the nth term rule is;
T (n) = 57 + ( n - 1 ) 8.
Ultimately, the required nth term rule for the given sequence is as determined above.
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the gram-schmidt process produces from a linearly independent set {x1, x2, . . . , xp} an orthogonal set {v1, v2, . . . , vp} with the property that span{v1, . . . , vk}
The statement is true.
An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process.
Given that,
From a linearly independent collection of {x₁, x₂,..., xp}, the gram-Schmidt process creates an orthogonal set of {v₁, v₂,..., vp} with the feature that for each k, the vectors v₁...vk span the same subspace as that spanned by x₁...xk.
Whether the claim is true or false must be determined.
The statement is true.
An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process. An orthogonal set is further linearly independent. The orthogonal set produced by the Gram-Schmidt process and the original set will cover the same subspace if their dimensions are the same.
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The table shows y as a function of x. Suppose a point is added to this table. Which choice gives a point that preserves the function?
Responses
A (−3, −8)(−3, −8)
B (−6, 3)(−6, 3)
C (−5, −2)(−5, −2)
D (9, 8)
The point that preserves the function is option A(-3,-8).
What do you mean by function?
A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
According to the given question,
We have four option for the answer.
Note: if f is a function then each number of the domain has an unique image.
Since (regarding the table) the image of 9 is 6 then the answer D is wrong
The same apply on answers B and C .
Therefore, the right answer is A(-3,-8).
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At the dress shop, Sherry is building buttons into packages. She has reached the 867 th button and is packing the 34 th package when she is asked to take her lunch break . She needs to note the number of buttons that are in the package so when she returned she will continue she will continue . How many buttons does package 34 contain? dont send in file explain plz
Answer:
9 buttons in package 34
Step-by-step explanation:
There are 26 buttons in each box.
26 * 33 = 858 for the first 33 full boxes
867 - 858 = 9 buttons in the 34th box
B = buttons per box
33*B<867 --> B < 26.27
34*B>867 --> B > 25.5
So 25.5 < B < 26.27, therefore B = 26 buttons per box
the solid bounded by the elliptic cylinder 4x2 + z2 = 4 and the planes y = 0 and y = z + 2
By substituting the limits of integration and solving the definite integral, the volume of the solid is approximately 3.57 cubic units.
What is integration ?
Integration is a fundamental concept in calculus that deals with the problem of finding the total change in a quantity over a given interval. It is the reverse process of differentiation, which deals with finding the rate of change of a quantity.
We can think of slicing the solid into thin horizontal slices, each parallel to the y = 0 plane. The cross-section of each slice with the elliptic cylinder will be an ellipse. The area of each ellipse can be calculated using the formula for the area of an ellipse, which is πab, where a and b are the semi-major and semi-minor axes of the ellipse.
The semi-major axis of the ellipse is 2, and the semi-minor axis is √(4 - 4x^2) = √(4(1 - x^2)) = 2√(1 - x^2). So the area of each slice is A(x) = π(2)(2√(1 - x^2)) = 4π√(1 - x^2)
The height of each slice is dy = dz = dx, since the slices are parallel to the y = 0 plane and the height of each slice is equal to the change in y or z between two consecutive slices.
So, the volume of the solid is ,
∫ (4π√(1-x^2)) dx from x = -1/2 to x = 1/2
By substituting the limits of integration and solving the definite integral, the volume of the solid is approximately 3.57 cubic units.
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miss violet is buying granola bars for her students. she already has 16 granola bars in her desk and needs a total of 100 granola bars. they are sold in packs of 12.how many more boxes of granola bars does she need to purchase
Answer:
She needs 7 more boxes.
Step-by-step explanation:
100-16=84
84/12=7
can u help me if u don't mind tbh tho
Answer:
Step-by-step explanation:
1. 13x + 2 = 4x + 38
9x + 2 = 38
9x = 36
x = 4
2. 6(2/3 + q/6 = 5/6q + 1/3)
4 + q = 5q + 2
4 - 4q = 2
-4q = -2
q = 2/4= 1/2
3. 6n + 24 = -18
6n = -42
n = -7
4. -11 + 3b + 15 = 7
3b + 4 = 7
3b = 3
b = 1
5. 5 + 2n + 2 = 2n
2n + 7 = 2n
0 ≠ 7
6. 7 - 3r = r - 8 - 4r
7 -3r = -3r - 8
0 ≠ -15
7. 14v + 6 = 10 + 14v - 4
14v + 6 = 14v + 6
0 = 0
infinitely many solutions
8. 5h - 7 = 5h - 10 + 3
5h - 7 = 5h - 7
0 = 0
infinitely many solutions
9. a. 10x + 10 (triangle)
b. 4x + 2x + 26 = 6x + 26 (rectangle)
10x + 10 = 6x + 26
4x + 10 = 26
4x = 16
x = 4
answer is A
Step-by-step explanation:
The largest artery is the aorta, the main high-pressure pipeline connected to the heart's left ventricle. The aorta branches into a network of smaller arteries that extend throughout the body. The arteries' smaller branches are called arterioles and capillaries.
Would these be linear combinations or quadratic equations
Answer:
actually it is a simultaneous equation from linear combinations
Please help I have a learning disability and this is due today
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
0 + 32 and 0
yes, it uses the Commutative Property
No they are not equivalent. The first expression is equal to 32, not 0.
yes, it uses the Associative Property
yes, it uses the Identity Property
Answer:
yes, it uses the Commutative Property
Step-by-step explanation:
a sauce recipe calls for 4 pounds of ground beef and you want to halve it how many ounces of ground beef do you need?
If you want to halve the recipe, you will need 32 ounces of ground beef. We can find it by multiplying.
To determine the amount of ground beef needed when halving the recipe, we need to convert pounds to ounces. There are 16 ounces in 1 pound.
Given that the original recipe calls for 4 pounds of ground beef, we can calculate the amount needed when halving the recipe by dividing it by 2.
Amount needed when halving = 4 pounds / 2 = 2 pounds.
To convert 2 pounds to ounces, we multiply it by 16:
2 pounds * 16 ounces/pound = 32 ounces.
Therefore, when you halve the recipe, you will need 32 ounces of ground beef.
In conclusion, to make half of the original recipe that calls for 4 pounds of ground beef, you will need 32 ounces of ground beef.
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four percent of the customers of a mortgage company default on their payments. a sample of 20 customers is selected. what is the probability that exactly two customers in the sample will default on their payments?
Using the Binomial probability distribution,
The probability that exactly two customers in the sample will default on their payments is 0.31..
We have given that,
4% of total customers a mortgage company default on their payments .
The probability of success i.e number of customers default on their payments (p) = 4%
= 0.04
The probability of failure (q) = 1-p = 1-0.04 = 0.06
Total number of customers in sample (n) = 20
we have to find out the probability that exactly two customers in the sample will default on their payments.
Using the Binomial probability distribution,
P(X=x)= ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾
the required probability is P(X= 2 )
Now, P(X= 2) = ²⁰C₂(0.04)²(0.06)¹⁸
=> P(X=2) = 190 × 0.0016 × 1.0155 = 0.31
Hence, the required probability is 0.31
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What is the y-value of the solution to the system of equations? 3x 5y = 1 7x 4y = −13
The solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2
To find the y-value of the solution to the system of equations, we can solve the system using any suitable method such as substitution or elimination.
Given system of equations:
3x + 5y = 1
7x + 4y = -13
Let's use the method of elimination to solve the system:
Multiply equation 1 by 4 and equation 2 by 5 to make the coefficients of y in both equations equal:
4(3x + 5y) = 4(1) --> 12x + 20y = 4
5(7x + 4y) = 5(-13) --> 35x + 20y = -65
Now, subtract equation 1 from equation 2 to eliminate the y term:
(35x + 20y) - (12x + 20y) = -65 - 4
35x - 12x = -69
23x = -69
x = -69/23
x = -3
Substitute the value of x into equation 1 to find y:
3(-3) + 5y = 1
-9 + 5y = 1
5y = 1 + 9
5y = 10
y = 10/5
y = 2
Therefore, the solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2.
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can someone help please
;((
Answer:
see explanation
Step-by-step explanation:
A
note from the table that the cost increases by $15 for each package, then this is the multiplier for the cost.
let n be the number of packages , then
cost = 15n
B
to find the cost of 7 packages , substitute n = 7 into the rule
cost = 15 × 7 = $105
Which segment is adjacent to∠Z?
Answer:
Segment ZL or LZ (whichever you prefer)
Step-by-step explanation:
We are asked to find an adjacent line segment to angle Z. An adjacent line segment is a line segment right next to the given angle. We cannot say LC because that would be the opposite segment. We also cannot say ZC because that is the hypotenuse of the triangle, and opposite from the 90 degree angle.
This means that ZL is the adjacent line segment.
Hope this helps! :)
help with angle sum theorem please
not sure of the answer for this one
Answer: x=43
Step-by-step explanation:
Looks like the 2 angles are a linear pair, 2 angles that make up a line. So if added they equal 180
Equation:
x + 7 + 3x + 1 = 180 >Combine like terms
4x +8 = 180 >Subtract 8 from both sides
4x = 172 >Divide both sides by 4
x = 43
PLEASE HELP ME WILL GIVE BRAINLIEST!!!!!!
Solve this system of equations using the LINEAR COMBINATION method, then answer the questions below.
2x - y = - 4 6x + 5y = 4
• What did you get for the (x, y) solution to this system? (2.5 points)
• Explain what you did to create a pair of opposites so that you could combine the equations. (2.5 points)
Answer:( 3.5 , -2 )
Step-by-step explanation:
each platform varies in the number of videos or images that can be added for a carousel ad, but the range is limited to what number?
The maximum limit to add the videos or images in Carousel is 10MB and the aspect ratio to add the images or videos is 1:1
There are many applications that are present where the videos and images can be added in the websites. The maximum images in the in few website is nine, but in carousel is 10MB of size and also it can be added up to 1:1 ratio of aspect size. The Carousel also allows the user to add slides and images. It helps to add the graphical representation.
The size of the videos must be from 60 seconds to 30 seconds of size and also the video includes the visual templets that help the user to have the presentation in an effective ways. There are many templets that also helps the user to present in a professional way. The carousel is a cloud representation that helps to create the slideshow online and also present it in the blockage videos. The online photos and images can also be added.
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evaluate 2-(-4) +(-and) where Y = 7.
Answer:
2-4=4+7=11 so that is the answer begginer
The infant has apgar scores of 7 at 1 minute and 9 at 5 minutes. what is the indication of this assessment finding?
An infant may have had birthing complications that reduced the amount of oxygen in her blood if her Apgar score ranges from 7 at 1 minute to 9 at 5 minutes. In this situation, the hospital nurses will most likely vigorously dry her with a towel while holding oxygen under her nose.
What are Apgar scores?The Apgar score is a recognized and practical way to report on the newborn baby's condition right after birth and their reaction to resuscitation, if necessary. One's particular neonatal mortality or neurologic prognosis cannot be predicted by the Apgar score alone, nor can it be regarded as a result of suffocation. It should also not be utilized to do so. An infant's spontaneous breathing score and the Apgar score given after resuscitation are not the same thing. An enhanced Apgar score reporting form that takes into account concurrent resuscitative treatments is encouraged by both the American Academy of Pediatrics and the American College of Obstetricians and Gynecologists.
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jared asks 20 of his classmates what their favorite month is. the responses are given below. favorite months june may january november october october december july may helpcopy to clipboarddownload csv use excel to create a relative frequency distribution. what is the relative frequency of his classmates who say their favorite month is june?
To create a relative frequency distribution, we need to count the number of occurrences of each response and divide it by the total number of responses, which is 20 in this case. The relative frequency of classmates who say their favorite month is June can be calculated as follows:
Number of classmates who say their favorite month is June: 2
Relative frequency of classmates who say their favorite month is June: 2/20 = 1/10 = 0.1
So, the relative frequency of his classmates who say their favorite month is June is 0.1 or 10%.
Relative frequency is a measure of the proportion or percentage of observations in a dataset that belong to a specific category or interval. It is calculated as the count of observations in a specific category or interval divided by the total number of observations in the dataset.
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914x12 plz help
I don’t know
What is the average of 120 km in 3 hours?
The average speed of the car is 40 km/hr.
It would take a car 3 hours to cover 120 km at a speed of 40 km/h.
The car moves for a time period of 3 hours.
The car has to travel a total distance of 120 km.
As we know the formula of speed is distance/time,
Hence, s = d/t km/hr
Let speed, distance and time be s, d, t respectively.
So by putting the values,
speed s = d/t = 120/3 = 40 km/hr.
Hence it can be said that the car would cover 120 km at the speed of 40 km/hr in 3 hours.
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14 1/6 - 7 1/3 in simplest form
Help plz
Answer: 7 -1/6
Step-by-step explanation:
Multiply the denominator and numerator (1/3) by 2 to get 2/6, then do 1/6-2/6, which gives you a negative. Then subtract your whole numbers (14-7) to get 7 -1/6
Answer:
Step-by-step explanation:
14*6=84 84+1 = 85 that is 85/6
7*3=21 21+1=22
85/2=42
42/3 / 22/3=20/3
What is another term that accountants use that means the same as "cost recovery"? 3. Why for every class of asset does the table list one additional year? For example, there are six years listed for 5-year property classes. 4. What are examples of assets that fall into the 5-year class? This and following questions relate to your basic understanding of non-tax depreciation from financial accounting. 5. If you bought an asset for $100 with a 5-year life and no residual value, how much would you depreciate each year under straight-line? 6. If you bought an asset for $100 with a 5-year live with no residual value, how much would you depreciate in years 1 through 5 under double-declining balance. Do not use the tables below. Round to nearest penny, and ensure that total is $100. Year 1 2 5
Another term that accountants use to refer to "cost recovery" is "cost reimbursement."
What is the alternative term for "cost recovery" used by accountants?In accounting, "cost recovery" refers to the process of recouping or recovering the expenses incurred by a company through various means such as sales revenue, reimbursements, or cost allocation.
Another term commonly used to describe this concept is "cost reimbursement." It signifies the reimbursement of costs to the company, ensuring that the expenses are covered and recovered, often through reimbursement agreements with clients or partners.
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There are 5 consecutive even integers with a sum of –80. What is the greatest of these integers?
The greatest even integers that the 5 consecutive number has a sum of - 80 is - 12.
How to find the greatest even integers?Even numbers are those numbers that can be divided into two equal groups or pairs and are exactly divisible by 2.
Therefore, even integers are integers that are even.
There are 5 consecutive even integers with a sum of –80.
let
x = first integers
Therefore,
x + x + 2 + x + 4 + x + 6 + x + 8 = - 80
5x + 20 = - 80
5x = -80 - 20
5x = - 100
divide both sides by 5
x = - 100 / 5
x = -20
Therefore,
greatest integer = - 20 + 8 = - 12
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the ratio of dividends to the average number of common shares outstanding is:
The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.
To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.
For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.
In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.
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Solve the literal equation for y.
Зу + 4х = 9
⚠⚠ pls helpppp will give brainliest AND 25 points ⚠⚠
✋
The county fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 2 buses with 211 students. High School B rented and filled 4 vans
and 4 buses with 268 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
8v + 8b = 240
4v + b = 54
------
Modify:
8v + 8b = 240
8v + 2b = 108
------
Subtract and solve for "b":
6b = 132
b = 22 (# of students in each bus)
-----
Solve for "v":
4v + b = 54
4v + 22 = 54
4v = 32
v = 8 (# of students in each van)
Answer:
hi its been a good minute since we talked i hope ur okay
Step-by-step explanation:
a subset of the integers 1, 2, . . . , 100 has the property that none of its members is 5 times another. what is the largest number of members such a subset can have
The largest number of members such a subset can have is 60.
Let's consider the numbers in the subset that are multiples of 5. If we have one of these multiples in the subset, then we cannot have any other multiple of that number in the subset, otherwise, one of them would be 5 times another.
So we can choose at most one number from each set of multiples of 5: either 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, or 100.
This gives us a maximum of 20 numbers that we can choose from these sets.
Now we consider the remaining numbers from 1 to 100 that are not multiples of 5. Each of these numbers can be expressed as a product of a power of 2 and an odd number. For example, 33 = 2^0 x 33, 72 = 2^3 x 9.
If we choose any number that has a power of 2 greater than or equal to 3, then we cannot choose any other number that has the same odd factor, otherwise, one of them would be 5 times another. This is because any number with a power of 2 greater than or equal to 3 is a multiple of 8, and any multiple of 8 has a factor of 5.
So we can choose at most two numbers from each set of numbers that have the same odd factor: either 1, 3, 7, 9, 11, 13, 17, 19, 21, 23, 27, 29, 31, 33, 37, 39, 41, 43, 47, 49, 51, 53, 57, 59, 61, 63, 67, 69, 71, 73, 77, 79, 81, 83, 87, 89, 91, 93, 97, or 99.
This gives us a maximum of 2 x 20 = 40 numbers that we can choose from these sets.
Therefore, the largest number of members such a subset can have is 20 + 40 = 60.
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If 1 gram = 100 centigrams and 1 centigram = 10 milligrams, how many
milligrams are in 1.42 grams?
0.142
142
1,420
14,200
Answer:
1,420 milligrams
Step-by-step explanation:
We know there are 100 centigrams in 1 gram, and there are 10 milligrams in a centigrams. That would mean there are 1,000 milligrams in 1 gram (100 * 10 = 1000).
As a result, all you need to do is multiply 1.42 by 1000 to get the amount of milligrams.
1.42 * 1000
Alternatively, to make 1.42 a whole number first, multiply by 100, then add a zero. (That's the other 10!)
(1.42 * 100) * 10
142 * 10
There are 1,420 milligrams in 1.42 grams.