It is true that r packages include sample datasets. They also include reusable r functions and documentation about how to use the functions.
The r packages do contain reusable r functions and documentation about how to use the functions. Not only that but they also include the sample data sets and provide tests for checking the code that we have generated.
The r packages are distributed with fifteen base packages that include grid, method, compilers, base, datasets, tools, splines, graphics, stats, stats4, translations, utils, grDevices, parallel, and tcltk.
These r packages introduce simpler ways of the r code distribution and documentation.
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Consider the given circles.
Order the sectors from least to greatest according to their areas, in square units?
Note that according to the areas of the circles in square units, the circles ordered from the least to the greatest is:
Area of a circle with a Diameter of 19Area of a circle with Circumference 87.92 unitsa circle with an area of 1,040.09 square units.a circle with a radius of 27 units.What is the Justification for the above arrangement?To determine the correct order, we need to solve for the areas of all the circles given the various factors provided.
A) a circle with an area of 1,040.09 square units. (Area given)
B) a circle with a radius of 27 units
Area where radius is given is computed using:
A = πr²
A = π * 27²
A [tex]\approx[/tex] 2290.22
C) a circle with a circumference of 87.92 units
Since Circumference is given:
A = C²/4π
Where C = Circumference
Thus A = 87.92²/*4*π)
A [tex]\approx[/tex] 615.13
D) a circle with a diameter of 19 units.
Area, where the diameter is given, is:
A = 1/4 πd²
A = 1/4 * π * 19²
A [tex]\approx[/tex] 283.53
Thus, it is correct to state that the order of the Areas of the Circles given from least to greatest is:
Area of a circle with a Diameter of 19
a circle with a radius of 27 units.
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Full Question:
Place the circles in order from the circle with the smallest area to the circle with the largest area
* a circle with a area of 1,040.09 square units.
* a circle with a radius of 27 units
*a circle with a circumference of 87.92 units
*a circle with a diameter of 19 units.
WKST is a quadrilateral where m/K = (3x – 18)°,m/W = (15y + 6)°, and m/T = (2x + 6)°.
What is the value of y and mZS to classify WKST a parallelogram?
K
Note that for WKST to be a parallelogram, y must be equal to 8 and m∠S must be equal to 126°. Thus the correct option is (Option C).
What is a parallelogram?A parallelogram is a basic quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposing or facing sides are of equal length, and its opposite angles are of equal measure.
To justify the above answer, note that:
Since Opposite angles of a parallelogram are congruent, we have
∠W = ∠T
That is:
3x -18 = 2x +6
Collecting like terms over the equation sign, we have:
3x - 2x = 6 + 18
x = 24
Substituting x into the equation for ∠W = ∠T, we have:
3x -18 = 2x +6
3(24)-18 = 2(24) +6 =54
72-18 = 48 +6 = 54
Thus, the above expression is True. That is:
3x -18 = 54°; and
2x +6 = 54°.
Since The adjacent angle, W is supplementary to either of these, it means that:
∠W = 180° -∠E
⇒ 15y +6 = 180 -54
⇒ 15y = 120
y = 8
Thus, it is correct to state that the value of y and m∠S required to classify WKST as a parallelogram are:
y-8; ∠126° (Option C)
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Full Question:
See the attached image.
You are given the equation 13 = 2x + 5 with no solution set.
Part A: Determine two values that make the equation false. (2 points)
Part B: Explain why your integer solutions are false. Show all work. (2 points)
Answer:Determine two values that make the equation false. (2 points)
Step-by-step explanation:
Answer: You are only giving 4 point!
Step-by-step explanation:
if a is any rectangular matrix prove that a*a and aa* are both hermitian
A matrix A is said to be hermitian if it satisfies the property A = A*
A* Means the conjugate transpose of A
Here
Given that A is a rectangular matrix.
we can prove that AA and AA are both hermitian by showing that AA = (AA)* and AA* = (AA*)*
we will prove that A*A is hermitian:
(AA) = (A*)A = A*A
AA = (AA)
so we can see that it is "AA" indeed hermitian,
Now we will prove that AA* is hermitian
(AA*)* = A*(A*)* = A*A
AA* = (AA*)
AA is indeed hermitian.
given any rectangular matrix A, we have shown that AA and AA are both hermitian, as they both satisfy the property of A = A*.
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A matrix A is said to be hermitian if it satisfies the property A = A*
A* Means the conjugate transpose of A
Given that A is a rectangular matrix.
we can prove that AA and AA are both hermitian by showing that AA = (AA)* and AA* = (AA*)*
we will prove that A*A is hermitian:
(AA) = (A*)A = A*A
AA = (AA)
so we can see that it is "AA" indeed hermitian,
Now we will prove that AA* is hermitian
(AA*)* = A*(A*)* = A*A
AA* = (AA*)
AA is indeed hermitian.
given any rectangular matrix A, we have shown that AA and AA are both hermitian, as they both satisfy the property of A = A*.
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a triangle with integer sides has perimeter $12$. how many such non-congruent triangles are there? (a 3-4-5 triangle is considered congruent to a 3-5-4 triangle because we can reflect and rotate the triangles until they match up.)
In total, there are 5 non-congruent triangles with integer sides that have a perimeter of 12.
The number of such non-congruent triangles can be found by considering all possible combinations of sides that add up to 12.
We can start by finding all possible combinations of two sides, and then adding the third side to make the perimeter equal to 12.
For example, for the two sides with lengths 1 and 11, the third side must be equal to 0, which is not allowed in a triangle.
The combinations of two sides are:
(1, 11), (2, 10), (3, 9), (4, 8), (5, 7), (6, 6).
For the combination (1, 11), the third side cannot be greater than 10, so it is not a valid triangle.
For the combination (2, 10), the third side can have lengths 0, 1, or 2, but none of these values result in a valid triangle.
For the combination (3, 9), the third side can have length 0, 1, 2, or 3. The only value that results in a valid triangle is 3, so there is 1 such triangle.
For the combination (4, 8), the third side can have length 0, 1, 2, or 4. The only value that results in a valid triangle is 4, so there is 1 such triangle.
For the combination (5, 7), the third side can have length 0, 1, 2, 3, or 5. The only value that results in a valid triangle is 5, so there is 1 such triangle.
For the combination (6, 6), the third side can have length 0 or 6. The only value that results in a valid triangle is 6, so there is 1 such triangle.
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a cylindrical drinking glass has a diameter of 2.5 in. and is 5.5 in. tall. what is the volume of the drinking glass in cubic centimeters?
The volume of the drinking glass in cubic centimeters is 442.4189 cm^3 .
The cylinder is a three-dimensional shape having a circular base.
A cylinder can be seen as a set of circular disks that are stacked on one another.
The volume of a three-dimensional shape is equal to the amount of space occupied by that shape.
Now, think of a scenario where we need to calculate the amount of sugar that can be accommodated in a cylindrical box.
For any cylinder with base radius ‘r’, and height ‘h’, the volume will be base times the height.
Therefore, the cylinder’s volume of base radius ‘r’, and height ‘h’ = (area of base) × height of the cylinder
Since the base is the circle, it can be written as
Volume = πr^2 × h
Therefore, the volume of a cylinder = πr^2h cubic units.
diameter of 2.5 in
r = 2.5/2 in.
r = 1.25 in
r = 3.175 cm
cylindrical drinking glass 5.5 in. tall
h = 5.5 in.
h = 13.97cm
volume of the drinking glass
Volume = πr^2 × h
= π ( 3.175)^2 × 13.97 cm^3
= 442.4189 cm^3
The volume of the drinking glass in cubic centimeters is 442.4189 cm^3 .
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HELP pls show work also WILL MARK BRAINLIEST IF CORRECT
Answer:
Below
Step-by-step explanation:
Company 1 charges 9.25 for 2.5 pounds and 14.50 for 6 pounds
so (6-2.5) pounds costs (14.50 - 9.25)
3.5 pounds cost an increase of 5.25
5.25 dollars / 3.5 pounds = 1.50 per pound
Company 2 's rate is the slope of the line = (7.25-6.50)/ 1 = .75 dollar per pound ( found by looking at the cost of 1 pound and the cost of 2 pounds)
Fixed cost for company 2 is the value where x = 0......the y-axis intercept = $ 5.75
Answer:
Step-by-step explanation:
Company 1: find constant rate = Δy/Δx, from any two (x,y) pairs on the data table
Constant rate = (14.50 - 9.25) / (9.25 - 2.5) = 1.5
Company 2 constant rate = $1.50/lb
Find the fixed fee for Company 1 by finding the y-intercept.
y - y1 = m(x - x1) Choose any (x,y) from the data table
y - 9.25 = 1.50(x - 2.5) Now put the equation in slope-intercept form.
y = 1.50x - 3.75 + 9.25
y = 1.50x + 5.50
Company 1 fixed fee = $5.50
Company 2: find the slope of the line to get the constant rate, pick any 2 points on the line.
m = Δy/Δx = (7.25 - 5.75) /(2 - 0) = 0.75
Company 2 constant rate = $0.75/lb
Find the fixed fee by finding the y-intercept on the graph (where the line intersects the y axis at x = 0)
Company 2 fixed fee = $5.75
gavin and philip have a combined age of 31. gavin is 4 years older than twice philips age. how old are gavin and philip?
What mistake did Dennis make?
The mistake which Dennis made include the following: B. he didn't exclude x = 3, which makes the denominator in the original expression equal to zero.
What is a rational expression?In Mathematics, a rational expression simply refers to a type of expression which is expressed as a fraction. This ultimately implies that, a rational expression is composed of two (2) main parts and these include the following:
NumeratorDenominatorGenerally speaking, the excluded values of any rational expression simply refers to the values for which the expression is undefined, which is typically obtained when the denominator is equal to zero (0).
Rational expression = (x² - 6x + 0)/(x² + x - 12)
When x = 3, we have the following expression:
Rational expression = (x² - 6x + 0)/(3² + 3 - 12)
Rational expression = (x² - 6x + 0)/(9 + 3 - 12)
Rational expression = (x² - 6x + 0)/0
Rational expression = undefined.
Therefore, excluded values are x ≠ 3 and 4.
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Match each system on the left with all words that describe the system on the right. Choices on the right can be used more than once
The solution for the given problem is X= -4, Y= -5.
How to substitute the values:First we will substitute into one of the equations: 2(3x-1)-6x=4
Then reduce the greatest common factor on both sides:3x-1-3x=2(i.e divide the above equation by 2)
The sum of two opposites equals 0: -1 =2
Rearrange unknown terms to the left side of the equation:
2y+x=6
4y+2x=12
Reorder the equation: x+2y=6
4y+2x =12
Again reorder the equation by taking x variable first : x+2y = 6, 2x+4y= 12
Reduce the greatest common factor on both sides of the equation:
Subtract the two equations:2y-(x+2y)=6-6
Remove parentheses:
Cancel one variable:0=6-6
The sum of two opposites equals 0:0=0
The system of equations has: infinte solutions
Substitute into one of the equations: :x+2x+3=-9
Rearrange unknown terms to the left side of the equation:
Combine like terms:3x=-9-3
Calculate the sum or difference:
Divide both sides of the equation by the coefficient of variable:x=-12/3
Cross out the common factor:x=-4
Substitute into one of the equations:-4+y=-9
Rearrange unknown terms to the left side of the equation: y=-9+4
Calculate the sum or difference: y=-5
Therefore, the solution of the given problem is x=-4, y=-5.
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The science club designs a series of posters that all have the same
four sections. Each poster measures 18 in. wide and 24 in. tall.
Look at the Description and Small Diagram sections. Label the
diagram to show the combined width of these two sections.
When the length of 2 section combined is 18 in
width is 12 in
When the length of 2 section combined is 24 in
width is 9 in
What is Rectangle ?A quadrilateral with four right angles is a rectangle. It may alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
Rectangles have the following basic characteristics:
They are quadrilaterals.The opposing sides are level and parallel to one another.90 degrees is the angle of each interior.360 degrees is the total of all interior angles.The diagonals cut each other in half.The length of both diagonals is the same.The length of the poster is 24 in
The width of the poster is 18 in
The area of the poster = 24*18 = 432 in²
The area of each section of the poster is 432/4 = 108 in².
Length of each section is 24/2 = 12 in
Width of each section is 18/2 = 9 in
The total length when 2 sections are combined is 9 + 9 = 18 in
or, 12 + 12 = 24 in
When the length of 2 section combined is 18 in
width is (108*2)/18 = 12 in
When the length of 2 section combined is 24 in
width is (108*2)/24 = 9 in
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4/9-5/7(2/3x2/3) and the one who gets right gets 20 points
Answer:
0.12698412698
Step-by-step explanation:
<
Find the surface area of the cube shown below.
units2
NIT
Check the picture below.
so we really have 6 faces, each one with an area of 2½ x 2½
[tex]\stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the 6 faces }}{6\left( \cfrac{5}{2}\cdot \cfrac{5}{2} \right)}\implies 6\cdot \cfrac{25}{4}\implies \cfrac{75}{2}\implies 37\frac{1}{2}[/tex]
the table and the graph represent two drones' distances from the ground. y, as a function of time, x. what is the rate of change Drone A
The rate of change is -2.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
From the table,
(0, 42), (1, 40) and (2, 38)
Rate of change of drone A.
= (40 - 42) / (1 - 0)
= -2/1
= -2
Thus,
-2 is the rate of change.
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Four spheres of radius 6 cm just fit inside a cylinder.
Calculate the volume inside the cylinder that is empty.
Leave your answer in terms of .
0000²
12 cm
Spheres
Vol = ²³
Answer:
576π cm³
Step-by-step explanation:
Find volume of 1 sphere:
V = 4/3πr³ = 4/3π(6)³ = 288π
Volume occupied by 4 spheres = 4(288π) = 1152π
Find volume of cylinder:
V = πr²h
h = 4(12) = 48 (4 spheres stacked inside the cylinder)
V = π(6)²(48) = 1728π
Empty space = (Volume-cylinder) - (Volume-4 spheres) = 1728π - 1152π = 576π
a heavy rope, 30 ft long, weighs 0.8 lb/ft and hangs over the edge of a building 100 ft high. how much work w is done in pulling the rope to the top of the building? (a) how much work w is done in pulling the rope to the top of the building? show how to approximate the required work by a riemann sum, then express the work as an integral and evaluate it. (b) a heavy rope, 30 ft long, weighs 0.8 lb/ft and hangs over the edge of a building 100 ft high. how much work w is done in pulling half the rope to the top of the building?
(a) The work done in pulling the rope to the top of the building is approximately 4800 ft-lb.
(b) The work done in pulling half the rope to the top of the building is approximately 2400 ft-lb.
The work done in pulling the rope to the top of the building can be calculated using a Riemann sum:
W = Σ (0.8 lb/ft) x (g) x (Δx)Where Δx is a small change in the length of the rope, g is the acceleration due to gravity (32 [tex]ft/s^2[/tex]), and the sum is taken over the entire length of the rope (from 0 to 100 ft).
Expressing the work as an integral, we have:
W=∫ [tex]0^{100} (0.8 lb/ft) x (g) x (x) dx[/tex]
Evaluating this integral gives us the work done in pulling the rope to the top of the building:
[tex]W = (0.8 lb/ft) x (g) x (x^2/2)[/tex] evaluated from x=0 to x=100
W = 4800 ft-lb
(b)To find the work done in pulling half the rope to the top of the building, we simply evaluate the integral from x=0 to x=50 (the length of half the rope).
W = [tex](0.8 lb/ft) x (g) x (x^2/2)[/tex] evaluated from x=0 to x=50
W = 2400 ft-lb.
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20 picture cards are to be divided in some ratio between Gini and Kimi. Which of these could be the ratio?
Answer:
Step-by-step explanation:
10
20 divide by 2=10
What’s the answer!!!!
Answer:
Without rounding $24.58 alternately $24.95 would be a comparable price as well and would also fit the parameters.
Step-by-step explanation:
50 ÷ 6 = 8.33
$ 2.95 × 8.33 = $24.58
what are the next three terms of the arithmetic sequence the first term is 3 common difference is 11
Answer:
second term=14
third=25
fourth=36
Step-by-step explanation:
n= the first term in the sequence+(n-1) times the common difference between terms
here n=3, because you asking for third term, so is 25
second term=14
third=25
fourth=36
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Linear Equation
X
Linear Inequality
What's the same with the two functions?
What's different with the two functions?
Q
S
Submitt
Answer:
Step-by-step explanation:
the this it the r po ggr
verify functional continuity and derivative continuity (slope smoothness) between the device saturated and device active segments of the
Functional continuity and derivative continuity (slope smoothness) between the device saturated and device active segments is the value of V12, VOL and Vhr, Vih and Get the NM2 & NmH
What is Functions?
Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
Suppose the threshold vintage of N- mas is VTO
(i) Vin < VTO – Cat of f
(ii) VTO < Vin < V out – Saturation
(iii) Vin > V out + VTO – Liniar
When N-Nos is in Liniar
IR = Kn/2 { 2.(Vin-VTO). V out – V2out }
Cat calculation of VOH,
V out = V Do – RL- IR
When Vin is Low, i.p. Vin <Vto, the M mess is Off Home ID = IR = O
Calculation of VOL,
Let us assume Vin = VoH
= VDo
Since Vin – VTO > V Out, the Transitar is in Lininers,
IR= VDo – V out
Off have IO = IR = o
Calculation of VOL,
Let us assume Vin = VOH = VDO
Since Vin – VTO > V out, the Transifar is in Linears,
IR= VDO – V Out / R2
Using KCL – IR = IO
VDO – VOL / R2 = Kn/2 { 2(VOD - VTo ) . Vo2 – VOL2}
Vol2 – 2 .{ VOD – VTO + 1/KnR2 } VOL + 2/KnRL . VDD = 0
On Solving for VOL,
VOL = VDD = VTO + 1/KnRL - /- ( VDD – VTO + 1/KNR2 ) 2 – 2VDD/KnR2
D Vot/DVin = 1
For VOCD > Vin – VTO; The N-Mas in Saturation
VDD – V Out /R2 = Kn/2 ( Vin – VTO ) 2
-1/R2 . D V out / D Vin = Kn( Vin – Vto ) put Vin = Vin
-1/RL ( -1) = Kn( Vin – Vto )
Calculation of Visit :-
Put D V out / D Vin = -1
When V Out < Vin – Vto: M- mas Linier
Vdd – V out / RL = Kn/2 { 2- ( Vin –Vto ) Vout – V2 out }
Differtatyboth side by d Vin:
-1/RL – D Vout/D Vin = kn/2 { 2.( Vin – Vto) D v out /d Vin
= 2 vat . Dat/dxt
Vdd – V out /R2 = Kn/2 { 2. ( Vin – VTO) V out – V2 Out }
Diffent Both side by D Vin .
-1/RL. DV out/DVin = Kn/2 {2. (Vin – Vto) Dv out / D vin + 2 vat .dat/Dithal ------- ( i)
Put dV out/D vin = -1
Put Vin = VTT
-1/RL (-1) = Kn{( Vin – Vto ) – (-1) +2 V out }
VTH = Vto +2 V out -1 / Kn RL ----------(II)
Now Put the Value of Vin From ( II ) in ( I) in the Place of Vin.
Then
Vin = Vto + 8/3 VDo/KnRL – 1/knRL
Now ,Nasie Margin :-
NM2 = V12 – Vol
NMH = Vas – Vin
Substitute the value of V12, VOL and Vhr, Vih and Get the NM2 & NmH.
The value of V12, VOL and Vhr, Vih and Get the NM2 & NmH between the device saturated and device active segments is functional continuity and derivative continuity (slope smoothness).
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There are 5 questions on a math exam. Each question is worth twice as much as the question before it. The fifth question is worth 16 points. How much is the first question worth?
Answer:
1 point
Step-by-step explanation:
if each question is worth twice as much as the question before it , then the question before each question is half the value, then
5th question = 16
4th question = 16 ÷ 2 = 8
3rd question = 8 ÷ 2 = 4
2nd question = 4 ÷ 2 = 2
1st question = 2 ÷ 2 = 1
the first question is worth 1 point
At the baseball game, nachos are $6.00 and hotdogs are $3.00. A group of 8 friends orders one item each and pays a total of $36.00.
Write an equation for the total amount of money spent. Let nachos be denoted by x and hotdogs by y.
Write an equation for the total number of items purchased. Let nachos be denoted by x and hotdogs by y.
Rewrite the equation for the total amount of money spent in slope-intercept form.
Rewrite the equation for the total number of items purchased in slope-intercept form.
Find the total of hotdogs and nachos sold
1. The equation for the total amount of money spent is: 6x + 3y = 36.
2. The equation for the total number of items purchased is: x + y = 8.
3. The slope-intercept equation is: y = -2x + 12
4. The equation is y = -x + 8
5. Total number is 8.
How to Write an Equation?The slope-intercept equation is expressed as y = mx + b.
1. The total amount of money spent can be represented by the equation: 6x + 3y = 36, where x represents the number of nachos and y represents the number of hotdogs.
2. The total number of items purchased can be represented by the equation: x + y = 8, where x represents the number of nachos and y represents the number of hotdogs.
3. To write the equation for the total amount of money spent in slope-intercept form, we need to solve for y:
6x + 3y = 36
3y = -6x + 36
y = -2x + 12
4. To write the equation for the total number of items purchased in slope-intercept form, we need to solve for y:
x + y = 8
y = -x + 8
5. The total number of hotdogs and nachos sold is 8, which is the sum of x and y.
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14. Find the missing side. Round to the nearest tenth. *
The missing side, which is 8.2 (rounded to the closest tenth), is indicated by the provided statement.
Give a mathematical definition of side?The leading edge that connects two vertices of a form or two-dimensional object is referred to as a side in geometry. To put it another way, in mathematics, a side is the vector that joins two points on a form. Here, the term "shape" refers to a two-dimensional (flat) form, such as a triangle, rectangle, or square.
Your hypotenuse is present. You require the inverse.
Sin = x/Hypotenuse
Sin27° = x/18
x = Sin27° * 18
x = 0.45 * 18
x = 8.17
x ≈ 8.2
As a result, side 8.2 is missing.
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Amir buys a car for £11985 which depreciates in value at a rate of 4.25% per year.
Work out how much Amir's car will be worth in 5 years.
The amount that Amir's car will be worth in 5 years is £9, 645. 09
How to determine the valueFrom the information given, we have that;
£11985 is the initial amount4.25% is the rate of depreciationFor the first year, we have;
= £11985 × 4.25/100
= £509. 36
For the second year
= £ 11475 × 0. 0425
= £487. 71
For the third year
= £10, 987. 28 × 0. 0425
= £466. 96
For the fourth year
= £10, 520.32 × 0. 0425
= £447. 1136
For the fifth year
= £ 10. 073. 20 × 0. 0425
= £428. 111
Hence, the value is £9, 645. 09
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3.3. about how long after shaking begins during the tangshan earthquake does it take the last building collapses? question 3 options: a. 1 minute b. 2 minutes c. 4 minutes d. 8 minutes
About two minutes long after shaking begins during the tangshan earthquake does it take the last building collapses.
At 3:42 am, an earthquake of magnitude 7.8 to 8.2 struck Tangshan, a Chinese industrial city of about one million people. The quake was particularly costly in terms of human life because most people slept in beds rather than outside the relatively safe streets. occurred along an unknown fault in the Cangdong fault system near the confluence of the The Tangshan fault is a north-northeast-trending strike-slip fault. An estimated 242,000 people died in Tangshan and surrounding areas, making the earthquake one of the deadliest in recorded history, with 300,000 killed in the Calcutta earthquake of 1737, believed dead in 1556. Shaanxi Province, where 830,000 people died of Chinese nationality. It lasted 23 seconds and destroyed 90% of Tangshan's buildings. At least 250,000 killed and 160,000 injured
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Anita purchaed a new building for her buine. Being in the prime location, he decided to
make ome more money by putting up an advertiement ign for a rental ad income on the roof
of the buildin
Anita has acquired a new building, which is located in a prime location. She aims to generate additional income by putting up an advertisement sign for rental purposes on the roof of the building.
By placing an advertisement sign on the roof, Anita is making use of the building's prime location and visibility to attract potential tenants. The sign is a cost-effective way of advertising her building and helps to reach a large audience, who may be interested in renting a space in the building.
Additionally, the rental income generated from the advertisement sign will help to offset the costs of owning the building, making it a profitable investment for Anita in the long run. By utilizing all the resources at her disposal, she is making smart business decisions that will help her achieve her financial goals.
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The complete question is-
What is the plan of Anita for the new building that she purchased for her business?
Pls hepl mathnation chech your understanding 7.3.7pls
The required area model is shown in the figure, as per the given expression.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Area model of the expression x² + x - 56 is formed as,
factorize the given expression
x² + x -56= (x + 8)(x - 7)
Thus, the required area model is shown in the figure, as per the given expression.
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given the matrix a=⎡⎣⎢aa39−6−259a⎤⎦⎥, find all values of a that make |a|=0. give your answer as a comma-separated list.
The values of a that make |a| = 0 are the roots of the cubic polynomial equation -6a^3 + 27a^2 + 81 = 0.
What is polynomial ?
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.
To find the values of a that make the determinant of the matrix |a| equal to 0, we need to evaluate the determinant of the matrix:
|a| = a * (-6a + 9) - (3a^2 - 9) * 9
= -6a^3 + 27a^2 + 9a * 9 = 0
We can then solve for a using polynomial roots:
-6a^3 + 27a^2 + 81 = 0
The values of a that make |a| = 0 are the roots of the cubic polynomial equation -6a^3 + 27a^2 + 81 = 0.
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2. The Math Club is selling t-shirts as a fund-raiser. The function rule C = 9n +45 represents
their cost, with Crepresenting the total cost of the order, and n representing the
number of shirts. What could the numbers in the function represent? Select all that
apply.
C= the total cost
9= the cost of each shirt
45= could be some other variable (donation, how much they have so far, etc.)