For each of the following unrelated situations, calculate the annual amortization expense and prepare a journal entry to record the expense: A patent with a 10-year remaining legal life was purchased for $350. 0
Answers
The journal entry to record the expenses with the annual amortization expense list is present in above figure.
a) Amortization per year = $43750 per year.
b) Amortization per year = $5230 per year.
c) Amortization per year = $14000 per year.
Amortisation of intangible assets : If any intangible assets are purchase and this will be amortized over the useful life of the assets and this will deduct the value of the intangible assets over the year completed. Now, we prepare a journal entry to record the expense:
a) A patent is a legal right granted to an individual or company to reproduce, use or sell an invention without interference from others.. A patent with 10-year remaining legal life was purchased for $350,000. Since the patent will be worthless after 8 years, the life will be considered to be 8 years. Amortization per year = $350000/8
= $43750 per year.
Amortization expense A/C.. Dr $43750 ( debit )
To Patents A/C $43750 ( credit)
b) Cost of the patent to date consisted in legal fee for handling the patent application = $52,300
Because the patent has commercial value during its remaining statutory life of 10 years. Only the original cost of patent will be amortized hence
Amortization per year = $52300/10
= $5230 per year
Amortization expense $5230 (debit)
Patents $5230 ( credit)
C) Since the additional cost will be incurred after 5 years and hence renewal is conditional , original life and cost will be considered.
Amortization per year = $70000/5 = $14000
Hence, required value is $14000.
For more information about journal entry, visit :
https://brainly.com/question/30437063
#SPJ4
Complete question:
Amortization Expense : For each of the following unrelated situations, calculate the annual amortization expense and prepare a journal entry to record the expense:
a)A patent with a 10-year remaining legal life was purchased for $350,000. The patent will be commercially exploitable for another eight years. b) A patent was acquired on a device designed by a production worker. Although the cost of the patent to date consisted of $52,300 in legal fees for handling the patent application, the patent should be commercially valuable during its entire remaining legal life of 10 years and is currently worth $400,000.
c) A franchise granting exclusive distribution rights for a new solar water heater within a three-state area for five years was obtained at a cost of $70,000. Satisfactory sales performance over the five years permits renewal of the franchise for another three years (at an additional cost determined at renewal).
General Journal :
Ref. Description Debit Credit
a. To record patent amortization. ___ __
b. To record patent amortization. __ __
c. To record franchise amortization. __ ___
Related Questions
bro help me find the vol pls
Answers
Answer:
volume is L × W x
Step-by-step explanation:
15 x 12 x 6
see attached I wrote down for you.
Answer:
360 ft³
Step-by-step explanation:
Volume of a rectangular pyramid = (lwh)/3 = (12x6x15) / 3 = 1080/3 = 360 ft³
V = (length x width x height) ÷ 3
Which number line shows the solution to the inequality? y minus 2 less-than negative 5 A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. A closed circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 7. Everything to the left of the circle is shaded.\\
Answers
The number line that shows the solution to the inequality y - 2 < -5 is:
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
What is inequality?
In mathematics, an inequality is a statement that compares two values, expressing that one value is less than, greater than, or less than or equal to, greater than or equal to, or not equal to another value.
The inequality is y - 2 < -5.
To graph the solution on a number line, we start by marking the point where y - 2 equals -5, which is y = -3. Then, since the inequality is less-than, we use an open circle to represent the point y = -3.
Next, we shade all the values of y that make the inequality y - 2 < -5 true. Since y is less than -3, we shade everything to the left of the open circle.
Therefore, the number line that shows the solution to the inequality y - 2 < -5 is:
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
To learn more about the inequalities, visit:
https://brainly.com/question/25275758
#SPJ1
Question 40
5
NUMBER THEORY The sum of the digits of a two-digit number is 11. If the digits are reversed, the new number is 45 more than the original
number. Find the number.
Answers
The original number would be 3.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Consider that the 10s digit = x
And the units digit = y
x +y = 11
The Sum of the digits = 11
10x + y + 45 = 10y + x
Then Reversed number is 45 more than original,
10x - x + y + 45 = 10y
9x + y + 45 = 10y
9x + 45 = 10y - y
9x + 45 = 9y
Now, Put x + y = 11 into the equation just found.
9x + 45 = 9(11 - x)
x + 45/9 = 11 - x
2x + 5 = 11
2x = 11 - 5
2x = 6
x = 6/2
x = 3
Therefore, we have;
x + y = 11
3 + y = 11
y = 11 - 3
y = 8
Henece, we can conclude that the original number is 38 and the new number is 83 which the digits are reversed.
Learn more about numbers;
https://brainly.com/question/26321930
#SPJ9
1. a. Report the p-value (Sig.) Based on Mean (top row):
b. Is this statistic significant?
c. For the Levene’s Test, do we want a significant p-value? (Yes/No)
d. What does this p-value mean about the variance in the three groups?
possible medication to treat high blood pressure. They decide it would be best to have 3 groups of randomly selected male participants: • One group (n=5) will be given a high dose of HyBlox: • One group (n=5) will be given a low dose of HyBlox: • One group (n=5) will be given a placebo sugar pill. They measure participants' blood pressures on a continuous scale. Participants are blind to condition and don't know which pill they've been given. The experimenters hypothesize that the participants given the highest level of HyBlox will have the lowest mean blood pressure level, the low dose HyBlox will have the second-lowest mean blood pressure level, and that the placebo group will have the highest mean blood pressure level. QUESTIONS: 1. Is this study within-subjects, between-subjects, or mixed? 2. What are the independent and dependent variables?
Answers
This is a between-subjects study. The independent variable is the type of medication given. The dependent variable is the participants' blood pressures. The experimenters reported a p-value (Sig.) Based on Mean (top row) of 0.071. No, this is not statistic significant. No, we don't want a significant p-value for the Levene’s Test. This p-value of 0.071 indicates that the variance in the three groups is not significantly different.
1.
a. The p-value (Sig.) Based on Mean (top row): 0.071
b. This p-value indicates that the null hypothesis cannot be rejected, meaning that there is no significant difference between the three groups.
c. The Levene’s Test does not require a significant p-value for the data to be valid.
d. This p-value indicates that there is no significant difference in the variance between the three groups.
2. This is a between-subjects study.
Independent Variable: Dosage of HyBlox (high dose HyBlox, low dose HyBlox, or placebo sugar pill)
Dependent Variable: Blood Pressure on a continuous scale
For more such questions on Between-subjects study.
https://brainly.com/question/28942066#
#SPJ11
Do Now 2 The table below shows ordered pairs of a linear function. Based on this data what is the slope of the line? a) 0.5 b) 1.5 c) 2.1 d) 3.1 X 0 -9 5 1.5 10 15 12 22.5
Answers
Based on the data showing the ordered pairs of a linear function, we can find the slope of the line, which will be: 2.4. The closest correct option is letter c.
How to calculate the slope of the line?We need to use the following formula to find the intended result:
Slope = (change in y) / (change in x)
To calculate slope, we can pick any two points from the table. Choosing the points (0, -9) and (10, 15) we have:
slope = (15 - (-9)) / (10 - 0) = 24 / 10 = 2.4Therefore, using two points from the table, we find that the slope of the line is 2.4. The option c) 2.1 is the closest to the result.
Find more about slope of the line at:
https://brainly.com/question/16949303
#SPJ1
Kiran and Clare like to race each other home from school. They run at the same speed, but Kiran's house is slightly closer to school than Clare's house. On a graph, their distance from their homes in meters is a function of the time from when they begin the race in seconds.
Answers
Answer:
Step-by-step explanation: 1. Down
2. Claire's line would go higher because she began further away from her house.
3. The lines would have the same slope , since they are going the same speed.
If angle HIJ is congruent to angle JTS, then is
Answers
In the given triangle, using congruency, ∠JHI is congruent to ∠SJT.
What is Triangle ?
Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.
In the given figure, we can see that there are two pairs of vertically opposite angles, which are opposite to each other at the intersection of two straight lines. These angles are:
What is the equation for triangle congruence?According to the ASA Rule, triangles are congruent to one another if any two angles and the side between them are comparable to the corresponding angles and side. According to the AAS Rule, the triangle's angles and excluded side are equal in the same way.
In the given triangle, using congruency, ∠JHI is congruent to ∠SJT
To learn more about Triangle from given link.
https://brainly.com/question/2773823
#SPJ1
eady
Compare Functions-Quiz - Level H
-The equation and the table show the cost, y, for different sports programs as functions of the number
of classes, z.
) Complete the statement.
When the number of classes is ?
football is less expensive.
When the number of classes is ?
basketball is less expensive.
Football Program:
Number of Classes
1
2
3
4
Basketball Program: y
Total Cost ($)
15
30
45
60
9x + 10
X
Answers
Answer:Given that y represents the cost, and x represents the number of classes, to complete the statements, the table is given for Gymnastics while the equation, y = 18x + 20 is given for Ice-skating program.
Since the table already shows the cost for each specific number of classes for Gymnastics, find that of Ice-skating program for 1, 2, 3, and 4 classes.
For 1 class, substitute x = 1 into y = 18x + 20:
y = 18(1) + 20
y = $38
For 2 class, substitute x = 2 into y = 18x + 20:
y = 18(2) + 20
y = $56
For 3 class, substitute x = 3 into y = 18x + 20:
y = 18(3) + 20
y = $74
For 4 class, substitute x = 4 into the equation y = 18x + 20:
y = 18(4) + 20
y = $92
From the above, we can conclude that, Gymnastics is less expensive when the classes is 1.
Ice-skating is less expensive when the classes is 3 or 4.
Step-by-step explanation:
From the given function, When the number of classes is 1 the football is less expensive.
When the number of classes is 1, the basketball is less expensive.
A function in mathematics from a set X to a set Y allocates 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.
a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Four main categories can be used to classify different sorts of functions. dependent upon element Function is a one-to-one relationship, a many-to-one relationship, onto function, one-to-one and into function.
To learn more about Functions from given link.
https://brainly.com/question/17043948
Initial Knowledge Check Divide. (x-2)/(3x-21)-:(5x-10)/(9x-63) Simplify your answer as much as possihlo
Answers
Dividing the fraction (x - 2) / (3x - 21) by (5x - 10) / (9x - 63) will result to 3/5.
To divide two fractions, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is simply the fraction flipped upside down. So, the reciprocal of the second equation (5x - 10) / (9x - 63) is (9x - 63) / (5x - 10). Now we can multiply the two fractions together to get the answer.
(x - 2) / (3x - 21) × (9x - 63) / (5x - 10)
= [(x - 2)(9x - 63)] / [(3x - 21)(5x - 10)]
Now we can simplify the numerator and denominator by factoring out the common factors:
= (9x - 63)(x - 2) / (3x - 21)(5x - 10)
= (3)(3x - 21)(x - 2) / (3x - 21)(5)(x - 2)
= 3/5
So, the final answer is 3/5.
Learn more about reciprocal here: https://brainly.com/question/29863935.
#SPJ11
Use the following functions to: find, simplify, and identify the domain of each of the function combinations. f(x)=x^2−4x and g(x)=x+12 (a) (f+g)(x)=
Domain of (f+g)(x) : (b) (f−g)(x)= Domain of (f−g)(x) : (c) (fg)(x)= Domain of (fg)(x) : (d) (gf)(x)= Domain of (gf)(x) :
Answers
(a) The function combination (f + g)(x) is equal to x² - 3x + 12 and its domain are all real numbers.
(b) The function combination (f - g)(x) is equal to x² - 5x - 12 and its domain are all real numbers.
(c) The function combination (fg)(x) is equal to x³ + 8x² - 48x and its domain are all real numbers.
(d) The function combination (gf)(x) is equal to x³ + 8x² - 48x and its domain are all real numbers.
(a) To find the expression or value of the function combination (f + g)(x), we need to add f(x) and g(x).
(f + g)(x) = f(x) + g(x) = x² - 4x + x + 12 = x² - 3x + 12
Domain of (f + g)(x) : All real numbers
(b) To find the expression or value of the function combination (f - g)(x), we need to subtract g(x) from f(x).
(f - g)(x) = f(x) - g(x) = x² - 4x - (x + 12) = x² - 5x - 12
Domain of (f-g)(x) : All real numbers
(c) To find the expression or value of the function combination (fg)(x), we need to multiply the two functions.
(fg)(x) = f(x) * g(x) = (x² - 4x) (x + 12) = x³ + 8x² - 48x
Domain of (fg)(x) : All real numbers
(d) The function combination (gf)(x) is the same as (fg)(x).
(gf)(x) = g(x) * f(x) = (x + 12) (x² - 4x) = x³ + 8x² - 48x
Domain of (gf)(x) : All real numbers
In all cases, the domain is all real numbers because there are no restrictions on the values of x that can be used in the functions.
Learn more about domain here: https://brainly.com/question/26098895.
#SPJ11
What is the y intercept
Answers
Answer: (0, 48)
Step-by-step explanation:
To find the y-intercept, plug the x and y values in the equation y = -3x + b, and leave the b the same.
I will use (11, 15)
15 = -3(11) + b
15 = -33 + b
48 = b
The y-intercept is (0, 48)
Equation is y = -3x + 48
Hope this helps!
Use a linear approximation (or differentials) to estimate the given number. (Do not round your answer). (32. 03)4/5
Answers
Using linear approximation, we estimate that ([tex]32.03^{4/5}[/tex]) is approximately equal to 31.952. It's important to note that this is only an estimate and may not be exact.
To estimate the value of ([tex]32.03^{4/5}[/tex]) using linear approximation, we start by finding the differential of the function f(x) = [tex]x^{4/5}[/tex] at the point x = 32.
[tex]f(x) = x^{4/5}[/tex]
[tex]f'(x) = 4/5x^{-1/5}[/tex]
Evaluating [tex]f'(32)[/tex], we get:
[tex]f'(32) = (4/5)(32)^{-1/5} = 0.1585[/tex]
Now, using the linear approximation formula:
[tex]f(x) ≈ f(a) + f'(a)(x - a)[/tex]
where a is the point at which we are estimating the function, we have:
[tex]f(32.03) = f(32) + f'(32)(32.03 - 32)[/tex]
[tex]= 32^{4/5} + 0.1585(0.03)[/tex]
[tex]= 31.952[/tex]
Linear approximation is a useful tool for approximating values of functions near a given point, but it has limitations and may not work well for functions that are highly nonlinear or have discontinuities.
To learn more about linear approximation follow the link: https://brainly.com/question/30881351
#SPJ4
please help quick i need fast for homework
Answers
Answer:
mean = 86
mean w/o 2 lowest = 92
median = 91
median w/o 2 lowest = 93
mode = 98
mode w/o 2 lowest = 98
Step-by-step explanation:
Fill in each blank to complete the following sentence. For 4x^(2)+6x+2=0,a=4,b= and c
Answers
The complete sentence would be: "For 4x^(2)+6x+2=0, a=4, b=6, and c=2."
To complete the sentence, we need to identify the values of a, b, and c in the given equation. The equation is in the form of ax^(2)+bx+c=0, where a, b, and c are the coefficients of the respective terms.
Therefore, to fill in the blanks in the sentence, we can simply match the coefficients in the given equation with the corresponding letters:
a = 4, because the coefficient of the x^(2) term is 4
b = 6, because the coefficient of the x term is 6
c = 2, because the constant term is 2
So the complete sentence would be: "For 4x^(2)+6x+2=0, a=4, b=6, and c=2."
learn more about Values
brainly.com/question/30145972
#SPJ11
What is the difference between point t and point v?
Answers
The difference between the two points is a vertical displacement of 5 units downward from point T to point V.
What is distance formula in graph?The distance formula is used to calculate the distance between two points in a two- or three-dimensional coordinate system. It is derived from the Pythagorean theorem and involves finding the square root of the sum of the squares of the differences between the corresponding coordinates of the two points.
The difference between point T(9, -4) and point V(9, -9) is 5 units in the y-direction. Specifically, the y-coordinate of point V is 5 units less than the y-coordinate of point T. This can be expressed as:
V - T = (9, -9) - (9, -4) = (0, -5)
To know more about coordinate visit:
https://brainly.com/question/13771338
#SPJ1
Hi can someone help me with some questions- I need help, since im confused on how to do them.
Answers
Answer: 1. x < 22 2. First option 3. x ≥ 5
Step-by-step explanation:
Closed dots means equal to or less/greater than.
Open dots means only less/greater than.
1. Open dot and arrow points left so x < 22
2. Only greater than so first option (Open dot and arrow points right)
3. Closed dot and arrow points right so x ≥ 5
Hope this helps!
Industry standards suggest that 10 percent of new vehicles require warranty service within the first year. Jones Nissan in Sumter, South Carolina, sold 12 Nissans yesterday. a. What is the probability that none of these vehicles requires warranty service? b. What is the probability exactly one of these vehicles requires warranty service? c. Determine the probability that exactly two of these vehicles require warranty service. d.Compute the mean and standard deviation of this probability distribution.
Answers
The answer are mean and standard deviation of this probability distribution are 1.2 and 1.04403065089, respectively
Given that the probability of a new vehicle requiring warranty service within the first year is 10%, we can use the binomial probability formula to answer the questions.
The binomial probability formula is:
P(x) = nCx * p^x * (1-p)^(n-x)
Where:
n = number of trials
x = number of successes
p = probability of success
nCx = number of combinations of n things taken x at a time
a. The probability that none of these vehicles requires warranty service is:
P(0) = 12C0 * 0.1^0 * 0.9^12 = 0.282429536481
b. The probability that exactly one of these vehicles requires warranty service is:
P(1) = 12C1 * 0.1^1 * 0.9^11 = 0.35527136788
c. The probability that exactly two of these vehicles require warranty service is:
P(2) = 12C2 * 0.1^2 * 0.9^10 = 0.23622320128
d. The mean of this probability distribution is:
μ = n * p = 12 * 0.1 = 1.2
The standard deviation of this probability distribution is:
σ = √(n * p * (1-p)) = √(12 * 0.1 * 0.9) = 1.04403065089
Therefore, the mean and standard deviation of this probability distribution are 1.2 and 1.04403065089, respectively.
To know more about probability distribution refer here:
https://brainly.com/question/14210034#
#SPJ11
Let f be defined as shown.
What is f-¹(-3)?
Answers
Answer:
The notation f⁻¹(-3) refers to the value(s) of x for which f(x) = -3.
However, the function f is not given in the prompt. Therefore, we cannot determine the value(s) of x for which f(x) = -3 or find f⁻¹(-3) without knowing the definition of f.
Step-by-step explanation:
Please help. I can't seem to understand this one
Answers
Answer: G=(3, 4) R=(4, 8) A=(7, 8) M=(6, 4)
Step-by-step explanation:
translation is the movement of a point so 11 units right add 11 to the x value and 2 to the y value then do the opposite for going left and down
Use the defined variables for the verbal model to write an equation in slope-intercept form that relates the variables. $2.00 pound Pounds of peaches + An equation is y = $1.50 pound Pounds of apples Let a represent the number of pound of peaches. Let y represent the number of pounds of apples. - $15
plss help
Answers
Answer:
15=2.00x+1.50y
Step-by-step explanation:
Ella is playing hide and seek with Dante and Mary. Dante is hiding 9 meters south of Ella, and Mary is hiding due east of Dante. If Ella is 15 meters from Mary, how far apart are Dante and Mary?
Answers
If Ella is 15 meters away from Mary and 9 meters away from Dante, then distance between Dante and Mary are 12 meters away from each other.
It is given that Ella is 9 meter away from Dante and in the Dante is in south of Ella. This means that if we consider a plane ground and mark the directions as north, south, east and west, Ella and Dante will be in north and south direction respectively. Since Mary is in the east direction of Dante, this means She will be in the South East direction of Ella and about 15 meters away from her. This creates a triangular connection between them.
Hence by applying the Pythagoras theorem, we get following equation:
ED^2 + DM^2 = EM^2
where,
ED = Distance between Ella and Dante
DM = Distance between Dante and Mary
EM = Distance between Ella and Mary
9^2 + DM^2 = 15^2
81 + DM^2 = 225
DM^2 = 144
DM = 12
Learn more about Pythagoras theorem at:
brainly.com/question/343682
#SPJ4
What is the profit for buying pencils for $2 each and selling them for $2,40 and manage to sell $40 and what is the profit and loss
Answers
The profit for buying pencils for $2 each and selling them for $2.40 is $6.40 and there is no loss.
The profit is the difference between the selling price and the cost price of the pencils. In this case, the profit per pencil is $2.40 - $2 = $0.40.
Since the total sales amount is $40, the number of pencils sold is $40/$2.40 = 16.67, which we can round down to 16 pencils. Therefore, the total profit is 16 * $0.40 = $6.40.
There is no loss in this scenario, as the selling price is higher than the cost price. Loss occurs when the selling price is lower than the cost price.
For more information about profit and loss, visit:
https://brainly.com/question/26483369
#SPJ11
Help pls I can’t understand
Answers
In triangle ABC, measure of side BC or a is 8.8 unit
What is cosine rule?In trigonometry, the cosine rule states that the square of the length of any side of a given triangle is the sum of the squares of the lengths of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
cosA = (b² + c² - a²)/2bc
Given,
In triangle ABC
A = 49° , b = 10, c = 11
By cosine rule
cosA = (b² + c² - a²)/2bc
cos49° = (10² + 11² - a²)/2(10×11)
0.656 = (100 + 121 - a²)/220
144.32 = 100 + 121 - a²
a² = 221 - 144.32
a² = 76.68
a = √76.68
a = 8.7567 ≈ 8.8
Hence, 8.8 unit is measure of side a in triangle ABC.
Learn more about cosine rule here:
https://brainly.com/question/26952873
#SPJ1
help!!!!!!!!!! quick
Answers
Step-by-step explanation:
Refer to pic...........
Airplane tickets to Fairbanks, Alaska will cost $958 each. Airplane tickets to Vancouver, Canada will cost $734. How much can the four members of the Harrison family save on airfare by vacationing to Vancouver
Answers
Answer:
The family will save $896 on airfare by vacationing to Vancouver
Step-by-step explanation:
Tickets to Fairbanks - $958 each (4 total people)
Total cost - 958 times 4 = $3832
Tickets to Vancouver - $734 each (4 total people)
Total cost - 734 times 4 = $2936
$3832 - $2936 = $896
is the data set approximately periodic? if so what are it’s period and amplitude?
Answers
The data set is not periodic, look at the graph below.
Is the data set periodic?A relation R(x) is periodic with period T if:
R(x) = R(x + T)
For every value of x.
So the function has unique values in [0, T] tha are repeated in the interval [T, 2T] and so on.
Here we have a table with some data in it, and we want to see if it is periodic.
Now, wecan see that the number of cars goes up and down, so there may be a "period-like" behavior.
But the relation is clearly non-periodic.
Even if you graph the points you can see it, there is a pattern (for the grouping of the points) but it is not periodic.
Learn more about periodic relations.
https://brainly.com/question/29120892
#SPJ1
Answer:
not periodic
Step-by-step explanation:
They are correct took the test thank you for your help
Explain all answers and show all work in order to receive full credit. 1. IfT:R4→R6is a matrix transformation defined byT(x)=Ax, what are the dimensions ofA? 2. IfS:R3→R2is a matrix transformation defined byS(x)=Bx, which of the following is true and why? Choose only one statement below. (a)Scould be onto, but it cannot be one-to-one (b)Scould be one-to-one, but it cannot be onto (c)Scould be onto, one-to-one, or both
Answers
1. The dimensions of A are 6 x 4.
2. The function is S could be onto, but it cannot be one-to-one. (C)
1. This is because T: R4 → R6 is a matrix transformation that maps from a 4-dimensional space to a 6-dimensional space. Therefore, the matrix A must have 6 rows and 4 columns in order to be able to multiply with a 4-dimensional vector x and produce a 6-dimensional vector T(x).
2. This is because S: R3 → R2 is a matrix transformation that maps from a 3-dimensional space to a 2-dimensional space.
This means that there are more input vectors than there are output vectors, so it is not possible for S to be one-to-one. However, S could be onto if every vector in R2 can be obtained from some vector in R3 through the transformation S(x) = Bx.
To know more about matrix transformation click on below link:
https://brainly.com/question/16956653#
#SPJ11
Write an expression in terms of n to represent AD in rhombus ABCD.
Answers
In a rhombus, all sides are equal in length, so we can write:
AB = BC = CD = AD
Let's use n to represent the length of any of the sides, such as AB. Then, we can write:
AD = AB
Therefore, the expression in terms of n to represent AD in rhombus ABCD is simply:
AD = n
Geometry
One cubic foot of water is equivalent to 7.48 gallons . If the capacity is 100 , find the maximum possible height for the fish tank , round answer to nearest thousandth of an inch
Answers
The maximum possible height for the fish tank is 23.749 inches
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
We need to convert the tank capacity from gallons to cubic feet since we know the conversion factor of 1 cubic foot of water = 7.48 gallons:
Tank capacity = 100 / 7.48 cubic feet
= 13.369 cubic feet
Volume of fish tank = Length x Width x Height
= 54 inches x 18 inches x Height
= 972 inches³ x Height
The maximum possible height of the fish tank
Volume of fish tank = Tank capacity
972 cubic inches x Height = 13.369 cubic feet
Height = 13.369 cubic feet / 972 cubic inches
= 0.013753 cubic feet / cubic inches
To convert cubic feet to cubic inches, we multiply by 1728
Height = 0.013753 x 1728
= 23.7488 cubic inches / inch³
Hence, the maximum possible height for the fish tank is 23.749 inches
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ1
A study showed that vitamin E oil reduces pain levels in patients with lupus. During each session, the oil was injected into the pain site indicated by the patient. Pain reduction was measured through self-reporting after each session.
Another study is being designed to examine whether vitamin E oil also reduces pain in patients suffering from bulging disks in the thoracic region of the back. Two hundred patients aged 20–40 years are subjects in the new study.
Part A: What is an appropriate design for the new study? Include treatments used, method of treatment assignment, and variables that should be measured.
Part B: If the study consisted of 100 young patients and 100 old patients instead of 200 patients aged 20–40, would you change the study design? If so, how would you modify your design? If not, why not?
Answers
Instead of 200 participants aged 20 to 40, the research would need to unitary method include 100 young and 100 elderly people. One possible change would be to divide the sample into age groups.
What is unitary method ?The unit technique is a strategy for addressing issues that entails first figuring out the value of a single unit, then multiplying that value to figure out the needed value. Simply expressed, the unit technique is used to extract a single unit value from a multiple that is provided. For example, 40 pens would cost 400 rupees, which is equal to the cost of one pen.
Part A:
A randomized controlled trial would be the ideal approach for the new investigation (RCT). A control group and an experimental group should both be included in the study.
The Visual Analog Scale is a pain scale that may be used by participants to self-report their level of pain, which is one of the variables that should be measured (VAS). Functional status, quality of life, and unfavorable treatment effects are other factors that might be assessed.
Part B:
Instead of 200 participants aged 20 to 40, the research would need to include 100 young and 100 elderly people. One possible change would be to divide the sample into age groups.
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ1