A rectangular fountain has a length of L meters and a width 3 meters less then it’s length, how many 1 meter tiles are needed to border the fountain
Answers
Using area of a rectangle, the number of 1 meter tiles requires is expressed as 16L - 24
Area of RectangleThe area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle.
The formula of area of a rectangle is given as;
A = L × W
A = area of rectanglel = length of rectanglew = width of rectangleLength = L
Width = L - 3
Perimeter of rectangle = L + L + (L - 3) + (L - 3)
P = 4L - 6
The cost of bordering the fountain is
4P = 4(4L - 6) = 16L - 24
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Complete Question:
A rectangular fountain has a length of L meters and a width 3 meters less then it’s length, how many 1 meter tiles are needed to border the fountain that cost $4 each.
Related Questions
Suppose that the position vector for a particle is given as a function of time by z(t)=x(t)i+y(t)j, with x(t)=at+b and y(t)=ct2 +d, where a=2.00 m/s,b=1.15 m,c=0.120 m/s2, and d=1.12 m. (a) Calculate the average velocity during the time interval from t=2.10 s to t=3.80 s. r=m/s (b) Determine the velocity at t=2.10 s. v=m/s Determine the speed at t=2.10 s. m/s
Answers
speed at t = 2.10 s is 2.08 m/s.
Given, the position vector for a particle is given as a function of time by z(t) = x(t)i + y(t)j,
where x(t) = at + b and y(t) = ct² + d, where a = 2.00 m/s, b = 1.15 m, c = 0.120 m/s², and d = 1.12 m.
(a) Average velocity during the time interval from t = 2.10 s to t = 3.80 s
Average velocity is given as the displacement divided by time.
Average velocity = (displacement) / (time interval)
Displacement is given by z(3.80) - z(2.10), where z(t) = x(t)i + y(t)j
Average velocity = [z(3.80) - z(2.10)] / (3.80 - 2.10) = [x(3.80) - x(2.10)] / (3.80 - 2.10)i + [y(3.80) - y(2.10)] / (3.80 - 2.10)j
= [a(3.80) + b - a(2.10) - b] / (3.80 - 2.10)i + [c(3.80)² + d - c(2.10)² - d] / (3.80 - 2.10)j = (2.00 m/s) i + (0.1416 m/s²) j
Hence, the average velocity is (2.00 m/s) i + (0.1416 m/s²) j. b) Velocity at t = 2.10 s
Velocity is the rate of change of position with respect to time.
Velocity = dr/dt = dx/dt i + dy/dt
jdx/dt = a = 2.00 m/s
(given)dy/dt = 2ct = 0.504 m/s (at t = 2.10 s)
[Using y(t) = ct² + d, where c = 0.120 m/s², d = 1.12 m]
Therefore, velocity at t = 2.10 s is 2.00i + 0.504j m/s.
c) Speed at t = 2.10 s
Speed is the magnitude of the velocity vector. Speed = |velocity| = √(dx/dt)² + (dy/dt)²
= √(2.00)² + (0.504)² = 2.08 m/s
Therefore, speed at t = 2.10 s is 2.08 m/s.
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Write an algebraic expression for the word phrase below. Which factor of yourexpression is a sum of two terms?the product of 5.8 and the sum of 9 and a number n
Answers
the algebraic expression is
\(5.8(9+n)_{}\)the factor of the expression that is a sum is
\(9+n\)Ray and Jon play a game of chance with two dice. If the sum of thedice is seven, Ray pays Jon $15. But if the sum is anything else,Jon pays Ray $10. What is the expected value of the game for Jon?Answer:-5.83
Answers
Given:
Two dice are rolled. n(S)=36
Let A be an event of getting a sum of 7.
\(A=\mleft\lbrace(1,6\mright),(2,5),(3,4),(4,3),(5,2),(6,1)\}\)\(n(A)=6\)\(P(A)=\frac{n(A)}{n(S)}\)\(P(A)=\frac{6}{36}\)\(P(A)=0.1667\)\(\text{The expected value of the game for Jon =}\frac{6}{36}\times10\)\(\text{The expected value of the game for Jon = \$}1.667\)Please help (: Solve the equation.
n – 29 – 33 = –49
13
–111
–53
–13
Answers
Answer:
13
Step-by-step explanation:
correlations, scatter plots, regression results and time series analysis are generally associated with analytics
Answers
Correlations, scatter plots, regression results, and time series analysis are generally associated with predictive analytics.
A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical technique for describing straightforward connections without explicitly stating cause and consequence.
Statistical method that links a dependent variable to one or more independent variables.
to separate and go in various direction
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Which statement is true?
A.Rates are always ratios.
B.Ratios are always rates.
Answers
Answer:
THE RATES ARE ALWAYS RATIOS.
A step function h(x) is represented by y = -2Lx] Which phrase best describes the range of the function h(x)?
all real numbers
all rational numbers
all negative integers
Answers
The phrase best describes the range of the function h(x) is option A: all real numbers.
What is a range of a function?The range is the set of all values which the given function can output.
A step function h(x) is represented by y = -2|x|.
The mode of x gives the real number every time by putting the values.
The phrase best describes the range of the function h(x) is option A: all real numbers.
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A regular hexagon has a perimeter of 57 inches.
What is the area of the hexagon?
Enter your answer, rounded to the nearest tenth, in the box.
Answers
Rounding to the nearest tenth, the area of the hexagon is 244.3 square inches.
Area of Hexagon:The area of a regular hexagon is calculated using the formula (3√3 / 2) × s^2, where s is the length of a hexagonal side. Given that we are talking about a regular hexagon, it is important to remember that all of the sides are the same length. The formula Area of the Hexagon = (3√3 / 2) × s^2, where's' is the length of the hexagonal side, can be used to determine the area of a regular hexagon when one of its sides is known.
All of the sides of the hexagon are the same length because it is a regular shape.
Therefore, each side has a length of 57 inches / 6 = 9.5 inches.
To find the area of the hexagon, we can use the formula:
Area = (3√3 / 2) × s^2
where s is length of a side.
Substituting s = 9.5 inches, we get:
Area = (3√3 / 2) × (9.5 inches)^2
Area ≈ 244.3 square inches
Rounding to the nearest tenth, the area of the hexagon is 244.3 square inches.
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If 10% of * =3, find 20% of *
Answers
Answer:
6
Step-by-step explanation:
if the 10% is equal to 3 then 20% is
10/3 = 20/x cross multiply
60 = 10x
6 = x
Answer:
6
Step-by-step explanation:
I think the answer is 6 because if 10%=3 and 10 is half of 20, then 3 is going to be half of 6.
Hope this helps!
find the taylor series for f centered at 5 if f (n)(5) = (−1)nn! 3n(n 1) .
Answers
Therefore, the Taylor series for f centered at 5 is: f(x) = 0 + 0(x - 5) + 12(x - 5)^2/2! - 162(x - 5)^3/3! + ...
The Taylor series for the function f centered at 5 can be expressed as:
f(x) = f(5) + f'(5)(x - 5) + f''(5)(x - 5)^2/2! + f'''(5)(x - 5)^3/3! + ...
To find the coefficients of the Taylor series, we need to evaluate the derivatives of f at x = 5.
f(5) = f(5) = (-1)^0(0!)3^0(0)(0 - 1) = 0
f'(5) = (-1)^1(1!)3^1(1)(1 - 1) = 0
f''(5) = (-1)^2(2!)3^2(2)(2 - 1) = 12
f'''(5) = (-1)^3(3!)3^3(3)(3 - 1) = -162
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Which equation represents a circle with a center of (6,-3) and a radius of 4?
Answers
Answer: (x-6)2 + (y+3)2=4
Step-by-step explanation:
I’m smart like dat cuh
The answer is (x-6)^2+(y+3)^2=4
What do I write for this question
Answers
f(x) = a (x-r1)(x-r2)
for this graph:
x = -4 x = 2
so then,
f(x) = a(x-4)(x+2)
how many joules of work are done against a cart when a force of 50N pushes it 1000m anway
Answers
John is on vacation and forgot his video camera. He found a camera shop that rents the cameras. They charge a one-time cleaning fee of $45 and the per day rental charge is $23. If his final bill is $229, how many days did John rent the video camera? Write and solve an equation for John's camera rental.
Answers
Given:
One-time cleaning fee = $45
Per day rental charge = $23
Final bill = $229
To find:
The number of days for which John takes video camera on rent.
Solution:
Let the number of days be d.
Rental charge for one day = $23
Rental charge for d days = $23d
Total charges = One-time cleaning fee + Rental charge for d days
\(Total=45+23d\)
Final bill is $229. So,
\(45+23d=229\)
Subtract 45 from both sides.
\(45+23d-45=229-45\)
\(23d=184\)
Divide both sides by 23.
\(d=\dfrac{184}{23}\)
\(d=8\)
Therefore, the required number of days is 8.
Calculate the following sum conveniently using one of the Theores: either from Lines, or from Columns or from Diagonals: Justify. C1+C15+C+…+C 20 2 (15) Considering the development of
Answers
The sum C1 + C15 + C + ... + C20^2 (15) can be conveniently calculated using the sum of an arithmetic series formula.
To calculate the given sum conveniently, we can use the formula for the sum of an arithmetic series:
Sn = n/2 * (a1 + an),
where Sn represents the sum of the series, n is the number of terms, a1 is the first term, and an is the last term.
In this case, the series is C1 + C15 + C + ... + C20^2 (15), and we need to find the sum up to the 15th term, which is C20^2 (15).
Let's analyze the given series:
C1 + C15 + C + ... + C20^2 (15)
We can observe that the series consists of C repeated multiple times. To determine the number of terms, we need to find the difference between the first and last terms and divide it by the common difference.
In this case, the common difference is the difference between consecutive terms, which is C. The first term, a1, is C1, and the last term, an, is C20^2 (15).
Using the formula for the sum of an arithmetic series, we have:
Sn = n/2 * (a1 + an)
= n/2 * (C1 + C20^2 (15)).
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if a is an n × n matrix such that a = p dp −1 with d diagonal and p invertible, then the columns of p must be eigenvectors of a.T/F
Answers
False. The columns of matrix P are not necessarily eigenvectors of matrix A. While the diagonal matrix D contains the eigenvalues of A, the eigenvectors are not explicitly determined by the columns of P.
False. The columns of matrix P are not guaranteed to be eigenvectors of the transpose of matrix A (A.T).
In the given equation, \(a = PDP^(-1),\)
where D is a diagonal matrix and P is an invertible matrix.
The diagonal elements of D represent the eigenvalues of matrix A, while the columns of P correspond to the eigenvectors of A.
When considering the transpose of matrix A (A.T), we have \((A.T) = (PDP^(-1)).T = (P^{(-1)})^T D^T P^T.\)
Taking the transpose of a product involves reversing the order of the matrices and transposing each matrix individually.
Therefore, we have \((A.T) = P^T D^T (P^{(-1)})^T.\)
Since P is an invertible matrix, its transpose \(P^T\) is also invertible. Similarly, the transpose of the inverse of \(P, (P^{(-1)} )^T,\) is also invertible.
However, the key point is that the diagonal matrix\(D^T\) is not guaranteed to have the same eigenvalues as matrix A.
The eigenvalues of A are present in D, but they may not remain on the main diagonal after transposing.
Thus, the columns of matrix P, which correspond to the eigenvectors of A, may not necessarily be the eigenvectors of A.T.
In conclusion, the statement is false.
The columns of matrix P do not have to be eigenvectors of the transpose of matrix A (A.T).
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Para racionalizar el denominador de la fracción 6−2√3+5√
se requiere:
A.
multiplicar el denominador por 3−5√
B.
multiplicar numerador y denominador por 3−5√
C.
multiplicar numerador y denominador por 3+5√
D.
multiplicar numerador y denominador por 6+2√
Answers
We need to multiply the numerator and denominator by 3-√5 to rationalize the denominator of the fraction. Therefore, the correct answer is option B
To rationalize the denominator of the fraction 6−2√3+√5, we need to eliminate any radicals present in the denominator. We can do this by multiplying both the numerator and denominator by an expression that will cancel out the radicals in the denominator.
In this case, we can observe that the denominator contains two terms with radicals: -2√3 and √5. To eliminate these radicals, we need to multiply both the numerator and denominator by an expression that contains the conjugate of the denominator.
The conjugate of the denominator is 6+2√3-√5, so we can multiply both the numerator and denominator by this expression, giving us:
(6−2√3+√5)(6+2√3-√5) / (6+2√3-√5)(6+2√3-√5)
Simplifying the numerator and denominator, we get:
(6 * 6) + (6 * 2√3) - (6 * √5) - (2√3 * 6) - (2√3 * 2√3) + (2√3 * √5) + (√5 * 6) - (√5 * 2√3) + (√5 * -√5) / ((6^2) - (2√3)^2 - (√5)^2)
This simplifies to:
24 + 3√3 - 7√5 / 20
Therefore, the correct answer is option B.
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if one leg of a right triangle is 4 and the hypotenuse is 5, find the missing leg
Answers
According to Pythagorean theorem
a² = b² + c² where a is hypotenuse , b and c are legs of the right triangle
5² = 4² + x²
25 = 16 + x²
25 - 16 = x²
9 = x²
√9 = √x²
3 = x
so the other leg is equal to 3
Hope it helps
Answer:
According to Pythagorean theorem
a² = b² + c² where a is hypotenuse , b and c are legs of the right triangle
5² = 4² + x²
25 = 16 + x²
25 - 16 = x²
9 = x²
√9 = √x²
3 = x
so the other leg is equal to 3
Step-by-step explanation:
Solve for x in the diagram below.
Answers
8x+30=110
8x=110-30
8x=80
x=80/8
x=10
hope this helps!
BIG DATA AND MACHINE LEARNING Economics, ASAP = upvote. Homework question. We are running a regression with 19 input variables. How many possible regression models would result were we to choose a model including a subset of those input variables?
Answers
We have 19 input variables, the calculation would be \(2^1^9\), resulting in 524,288 possible regression models.
If you are running a regression with 19 input variables and want to choose a model including a subset of those variables, there would be a total of 524,288 possible regression models that can be formed.
To determine the number of possible regression models, we need to consider the power set of the input variables. The power set of a set includes all possible subsets that can be formed from the original set, including the empty set and the set itself. In this case, the power set would represent all the possible combinations of including or excluding the 19 input variables in the regression model.
The number of elements in the power set can be calculated by raising 2 to the power of the number of input variables. Since we have 19 input variables, the calculation would be \(2^1^9\), resulting in 524,288 possible regression models.
It's important to note that while there are a large number of possible regression models, not all of them may be meaningful or useful in practice. Selecting the most appropriate subset of variables for a regression model typically involves considerations such as statistical significance, correlation analysis , domain knowledge, and model evaluation techniques to identify the most predictive and relevant variables for the specific problem at hand.
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pls help will givebrainly
Answers
Answer:
20 people
Step-by-step explanation:
yes
Can someone help me with this?
Answers
Answer:
\( \sqrt{30} \)
I don't know if it's supposed to do with (n-2)180
Also please explain :D
Answers
Step-by-step explanation:
\( sum \: of \: interior \\ \: angels \: is \: 2340 \: degrees. \\
(n−2)⋅180=2340 \\
180n - 360=2340 \\ 180n = 2700 \\
n=15 \\
number \: of \: sides=15\)
the polygon is 15 sided.
ple help me pls help me
Answers
Answer:
C
Step-by-step explanation:
Gwen purchased a fruit salad for $12 and two watermelons to cut up and add to fruit salad. The watermelons cost the same amount cost the same amount, and all the fruit was less than $22 in all. Write an inequality to represent this situation.
Answers
Answer:
12/2/3x43
Step-by-step explanation:
Can someone please help me with this
Answers
B: cannot be simplified any further
C: cannot be simplified any further
D: YES
A 27-year-old woman comes to the office due to joint pain. Her symptoms began 10 days ago and consist of bilateral pain in the metacarpophalangeal joints, proximal interphalangeal joints, wrists, knees, and ankles. She describes joint stiffness lasting 10-15 minutes on awakening in the morning. The patient has also had associated fatigue and a few episodes of loose bowel movements associated with mild skin itching and patchy redness. She has no fever, weight loss, or lymphadenopathy. She has no other medical conditions and takes no medications. The patient is married and has 2 children. She works as an elementary school teacher. On examination, there is tenderness of the involved joints without swelling or redness. The remainder of the physical examination is unremarkable. Which of the following is most likely elevated in this patient? A Anti-cyclic citrullinated peptide antibodies B Anti-double-stranded DNA antibodies с Antinuclear antibodies D Anti-parvovirus B19 IgM antibodies E Anti-streptolysin titer F Cryoglobulin levels G Rheumatoid factor
Answers
Antinuclear antibodies (ANAs) are most likely to be elevated in this patient. The correct answer is option C.
In this situation, the patient's most likely diagnosis is lupus erythematosus. Lupus erythematosus is a complex autoimmune disorder that affects the body's normal functioning by damaging tissues and organs. ANA testing is used to help identify individuals who have an autoimmune disorder, such as lupus erythematosus or Sjogren's syndrome, which are two common autoimmune disorders.
Antibodies to specific nuclear antigens, such as double-stranded DNA and anti-cyclic citrullinated peptide (anti-CCP) antibodies, are also found in lupus erythematosus and rheumatoid arthritis, respectively. However, these antibodies are less common in other autoimmune disorders, whereas ANAs are found in a greater number of autoimmune disorders, which makes them a valuable initial screening test.
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12 + 6x > 18
HELPPppp
Answers
Answer:
I used math-way, solved for x and got this
x>1
Step-by-step explanation:
6x + 12 > 18
6x + 12− 12 > 18 − 12
6x > 6
6x/6 > 6
x>1
find the value of x in the figure below.
75
97
105
Answers
Answer:
x=83
Step-by-step explanation:
The total value of angles is 360
So you have 75+97+105= 277
So x = 360-277 = 83
What is the solution of x - 9/ 7x + 2 < 0
Answers
Answer:
x>7
Step-by-step explanation: