Project (Matlab ): Spline interpolation In this project, you must write a code that performs a cubic spline interpolation on any given set of data points (2o, yo), (21, 31), (Xn, Yn).

The value of x = 6 of the given expression '13x-11+8x-25 = 90' using the two-column proof.

So, the value of x:

(Refer to the image attached below)

Therefore, the value of x = 6 of the given expression using the two-column proof.

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Answer:  527.036

Step-by-step explanation:

\( \quad\rule{300pt}{1pt}\)

we are given that , a ladder is placed against a side of building , which forms a right angled triangle . We wre given one side of a right angled triangle ( hypotenuse ) as 23 feet and the angle of elevation as 76 ° . We can find the Perpendicular distance from the top of the ladder go to the ground by using the trigonometric identity:

\( \qquad\quad\bull ~{\boxed{\bf{ Sin\theta =\dfrac{Perpendicular}{Hypotenuse}}} }~\bull\)

Here,

\( \quad\dashrightarrow\quad \sf { sin\theta =\dfrac{P}{H}}\)

\( \quad\dashrightarrow\quad \sf { sin76° =\dfrac{P}{23}}\)

\( \quad\dashrightarrow\quad \sf { 0.97=\dfrac{P}{23}}\)

\( \quad\dashrightarrow\quad \sf {P = 0.97 \times 23 }\)

\( \quad\dashrightarrow\quad \sf { P = 22.32}\)

‎ㅤ‎ㅤ‎ㅤ~Hence, the distance from the top of the ladder to the ground is 22.32 feet !

\( \rule{300pt}{2pt}\)

The solution to the system is x = 2 and y = 6, represented as the ordered pair (2, 6). This corresponds to option (B) in the answer choices.

To solve the system using substitution, we'll substitute the value of one variable from one equation into the other equation and solve for the remaining variable.

Given the system:

x + y = 8

y = 3x

Substituting the value of y from the second equation into the first equation, we have:

x + (3x) = 8

4x = 8

x = 2

Now, substitute the value of x into the second equation to solve for y:

y = 3(2)

y = 6

Therefore, the solution to the system is (2, 6). Option (B) is the correct answer.

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Answer:

14 in

Step-by-step explanation:

area cylinder= area of base × height of cylinder

area of cylinder = (pi × radius²) × H

(sub in values )

196×pi = (pi x r²) × 1

(196×pi)/1 = pi × r²

(196×pi)/pi = r²

(pics cancel each other )

then, square root 196= r

14 in = radius

Answer:

Question 23: 39

Question 24: 10

Question 25: Airline B

Question 26: 20 to 50

Step-by-step explanation:

Answer:

I think the first mistake was made in step 1

Answer:

Step-by-step explanation:

If you follow the pythagorean therum you get a multiple of 6 then get the square root of six and that’s you answer

Solve for x values that satisfy a quadratic inequality to write interval notation. This usually involves factoring the quadratic and putting it equal to zero, then utilizing the inequality sign to select viable solutions. After finding the answers, write (a,b) to indicate the interval of x-values that make the inequality true. The interval notation for -3 and 5 is (-3,5).

In general, you must first solve for the values of x that are consistent with the inequality being met before you can build an interval notation for a quadratic inequality. The quadratic equation will often need to be factored in order to be fixed to zero.

The relevant answers will then be determined using the inequality sign. After you have identified the solutions, you may use the notation (a,b), where a and b stand for the solutions, respectively, to show the range of x-values that cause the inequality to hold.

The interval notation, for instance, might appear as follows if the responses were -3 and 5. (-3,5).

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Answer:

\(x =24\)

Step-by-step explanation:

From the question we are told that

Amount of water 1/4x

Gallons added 10

Amount of water after addition 2/3x

Where x is a full container

Generally the parameters above gives the equation

  \(\frac{1}{4}x +10=\frac{2}{3}x\)

Therefore

  \(\frac{1}{4}x -\frac{2}{3}x =-10\)

\(-\frac{5}{12}x =-10\)

\(x =\frac{-10}{-\frac{5}{12}}\)

\(x =24\)

Therefore the container can hold 24 gallons of water

Answer:

8-5x=-7 , answer is 3hours

Step-by-step explanation:

Start with the current temperature 8 degrees

Then use x to represent the hours of the temperature dropping x

Then set it equal to the temperature you want to reach -7

So 8-5x=-7

To solve get the x alone so subtract 8 form both sides

-5x=-15

And then solve

X=3

Answer:

C. a property of algebra

Step-by-step explanation:

I hope this helps

The probability of at least one is a Samsung in the purchase collection of two independent LED HDTV is equal to 0.376.

Percent of all LED display manufactured by Samsung = 21%

Probability that at least one purchase is Samsung

= 1 - Probability that both purchases are not Samsung

Probability that the first purchase is not Samsung is 1 - 0.21 = 0.79.

The probability that the second purchase is also not Samsung is also 0.79.

Since the purchases are independent,

Multiply these probabilities to get the probability that both purchases are not Samsung,

P(neither is Samsung)

= 0.79 x 0.79

= 0.6241

The probability that at least one purchase is Samsung is,

P(at least one is Samsung)

= 1 - P(neither is Samsung)

= 1 - 0.6241

= 0.3759

Rounding to 3 decimal places, we get,

P(at least one is Samsung) = 0.376

Therefore, the probability that in a collection of two independent LED HDTV purchases, at least one is a Samsung is 0.376.

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Answer:

All the letter choices are correct.

Step-by-step explanation:

If thats not what you wanted, just comment below. Thank you!

Answer:

All letters showed are correct

Step-by-step explanation:

The property descriptions which the township is located in is 9 North and Range 6 West

The townships serve as the main elements in the government's rectangular survey approach for identifying the position of properties. A township comprises a square region of six miles on all its four sides.

In order to ascertain the exact township where the property is situated, it is necessary to compute the township coordinates using the specified distance.

From the information given, we have to convert the distance to township units.

We have;

57 miles north / 6 miles = 9.5 townships north

38 miles west / 6 miles = 6.33 townships west

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By definite integrals, the area bounded by a quadratic function and two linear functions is equal to 44 / 3 square units.

In this problem we must determine by definite integrals the area bounded by a quadratic function and two linear functions. This can be done by means of the following definition

I = ∫ [f(x) - g(x)] dx, for x ∈ [a, b]

Where:

Now we proceed to solve the integral:

\(I = \int\limits^{1}_{- 2} {\left(\frac{2}{3}\cdot x + \frac{16}{3}- x^{2}\right)} \, dx + \int\limits^{2}_{1} {\left(8 - 2\cdot x - x^{2}\right)} \, dx\)

\(I = \frac{2}{3}\int\limits^{1}_{- 2} {x} \, dx + \frac{16}{3}\int\limits^{1}_{- 2} \, dx -\int\limits^{1}_{- 2} {x^{2}} \, dx + 8\int\limits^{2}_{1} \, dx - 2 \int\limits^{2}_{1} {x} \, dx - \int\limits^{2}_{1} {x^{2}} \, dx\)

\(I = \frac{1}{3} \cdot x^{2}\left|\limits_{-2}^{1} + \frac{16}{3}\cdot x \left|_{-2}^{1}- \frac{1}{3}\cdot x^{3}\left|_{- 2}^{1}+8\cdot x\left|_{1}^{2}-x^{2}\left|_{1}^{2}-\frac{1}{3}\cdot x^{3}\left|_{1}^{2}\)

I = [1² - (- 2)²] / 3 + 16 · [1 - (- 2)] / 3 - [1³ - (- 2)³] / 3 + 8 · (2 - 1) - (2² - 1²) - (2³ - 1³) / 3

I = - 1 + 16 - 3 + 8 - 3 - 7 / 3

I = 44 / 3

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Answer: C= -2

Step-by-step explanation:

Answer:

C. -2

Step-by-step explanation:

5x + 2(x − 4) = 5x + x − 10

Subtract 5 from both sides,

5x + 2(x - 4) - 5x = 5x + x - 10 - 5x

Simplify,

2(x - 4) = x - 10

Distribute,

2x - 8 = x - 10

Add 8 to both sides,

2x - 8 + 8 = x - 10 + 8

Simplify,

2x = x - 2

Subtract x from both sides,

2x - x = x - 2 - x

Simplify,

x = -2

f(x) = x - 4

g(x) = 2x

We need to find g(f(-2)), which means

Find f(-2) at first by substitute x by -2 in f

f(-2) = (-2) - 4 = -2 - 4 = -6

Replace f(-2) by -6

Now we need to find g(-6)

Substitute x in g by -6

g(-6) = 2(-6) = -12

g(f(-2)) = -12

The library and the school are 9 miles apart

Here, we want to get the value of the distance between the library and the school

To do this, we shall be using the distance formula

We will incorporate the coordinates into the distance formula

We have this as;

Step-by-step explanation:

D.associative property of addition.

The property used is associative property.

According to the Associative property, when 3 or more numbers are added or multiplied, the result (sum or the product) remains the same even if the numbers are grouped in a different way. Here, grouping is done with the help of brackets. This can be expressed as, a × (b × c) = (a × b) × c and a + (b + c) = (a + b) + c.

Given here:  (8 + 6) + 2 = 8 + (6 + 2)

Clearly RHS and LHS both equal 16

Thus is the associative property on the operation of addition.

Hence, The property used is associative property.

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Answer:

add up the exponents on each prime number

Step-by-step explanation:

2^2= 2x2

3^2=3x3

so 36=2^2x3^2=2x2x3x3

Answer:

3

Step-by-step explanation:

36

| \  

18   2

| \  

9   2

| \  

3   3

Answer:

Te conozco y sé qué

Como Nuevo de fabrica el otro

The eigenvalues of matrix A are λ1 = 2 and λ2 = 4, and bases for the corresponding eigenspaces are {[1, 1]} and {[1, -1]}, respectively.

To find the eigenvalues of matrix A, we first need to solve for the characteristic equation:

det(A - λI) = 0

where I is the identity matrix.

So, we have:

det( [3-λ 1; -1 3-λ] ) = 0

Expanding this determinant, we get:

(3-λ)(3-λ) - (-1)(1) = 0

Simplifying and factoring, we get:

(λ - 2)(λ - 4) = 0

So, the eigenvalues of matrix A are λ1 = 2 and λ2 = 4.

Next, we need to find the eigenvectors corresponding to each eigenvalue.

For λ1 = 2, we solve the system of linear equations:

(A - 2I)x = 0

where I is the 2x2 identity matrix.

So, we have:

[1 1; -1 1]x = 0

Simplifying, we get:

x1 + x2 = 0

-x1 + x2 = 0

Solving this system, we get:

x1 = x2

So, any vector of the form [a, a] is an eigenvector corresponding to λ1 = 2. A basis for the eigenspace corresponding to λ1 is {[1, 1]}.

For λ2 = 4, we solve the system of linear equations:

(A - 4I)x = 0

where I is the 2x2 identity matrix.

So, we have:

[-1 1; -1 -1]x = 0

Simplifying, we get:

-x1 + x2 = 0

-x1 - x2 = 0

Solving this system, we get:

x1 = -x2

So, any vector of the form [a, -a] is an eigenvector corresponding to λ2 = 4. A basis for the eigenspace corresponding to λ2 is {[1, -1]}.

Therefore, the eigenvalues of matrix A are λ1 = 2 and λ2 = 4, and bases for the corresponding eigenspaces are {[1, 1]} and {[1, -1]}, respectively.

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Answer: 69.5 square centimeters is the answer

Step-by-step explanation: i like ur pfp btw

Answer:

69.5

Step-by-step explanation:

..........................

The surface area and volume of a pentagonal prism is  5/2 × a² × √(5 + 2√5) + 5ab and (1/4) × (5 + 2√5) × a² × h respectively. We can find the solution in the following manner.

A pentagonal prism is a three-dimensional geometric shape that consists of two parallel pentagons as the top and bottom faces, and five rectangular faces connecting them.

To find the surface area and volume of a pentagonal prism, we need to know its height, the length of the sides of the pentagon, and the length of the rectangular faces.

Let's denote the height of the pentagonal prism as "h", the side length of the pentagon as "a", and the length of the rectangular face as "b".

Surface Area of a Pentagonal Prism:

The surface area of a pentagonal prism is the sum of the areas of its faces. There are two pentagonal faces and five rectangular faces in a pentagonal prism.

Area of each pentagonal face = 5/4 × a² × √(5 + 2√5)

Area of each rectangular face = a × b

Total surface area = 2 × Area of pentagonal face + 5 × Area of rectangular face

= 5/2 × a² × √(5 + 2√5) + 5ab

Volume of a Pentagonal Prism:

The volume of a pentagonal prism is given by the formula:

Volume = (1/4) × (5 + 2√5) × a² × h

Therefore, the surface area and volume of a pentagonal prism can be calculated using the above formulas, given the values of a, b, and h.

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The surface area and volume of a pentagonal prism is sum of the areas of its faces, and (1/4) × (5 + 2√5) × a² × h.

A pentagonal prism is a three-dimensional geometric shape that consists of two parallel pentagons as the top and bottom faces, and five rectangular faces connecting them.

Surface Area of a Pentagonal Prism:

The surface area of a pentagonal prism is the sum of the areas of its faces. There are two pentagonal faces and five rectangular faces in a pentagonal prism.

Total surface area = 2 × Area of pentagonal face + 5 × Area of rectangular face

Volume of a Pentagonal Prism:

The volume of a pentagonal prism is given by the formula:

Volume = (1/4) × (5 + 2√5) × a² × h

Therefore, the surface area and volume of a pentagonal prism can be calculated using the above formulas, given the values of a, b, and h.

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Answer:

D. 4

Step-by-step explanation:

Answer:

∠DCB = 102°

Explanation:

∠CDB = ∠CBD

∠DCB = 180° - ∠CBD - ∠CDB

∠DCB = 180° - 39° - 39°

∠DCB = 102°

There is sufficient evidence to believe that the number of household pets leaving the shelter over the weekend is different from the proportion of wildlife animals leaving the shelter over the weekend.

To determine if there's sufficient evidence,

Let us define the null and alternative hypotheses for this test as follows:

Null hypothesis (H0): The proportion of household pets leaving the shelter over the weekend is the same as the proportion of wildlife animals leaving the shelter over the weekend.

Alternative hypothesis (Ha): The proportion of household pets leaving the shelter over the weekend is different from the proportion of wildlife animals leaving the shelter over the weekend.

The test statistic for two sample test is given by:

z = (p1 - p2) / sqrt(p * (1 - p) * (1/n1 + 1/n2))

where

p1 and p2 are the proportions of household pets and wildlife animals leaving the shelter over the weekend, respectively,

p is the pooled proportion,

n1 and n2 are the sample sizes for household pets and wildlife animals, respectively.

Pooled proportion is

p = (x1 + x2) / (n1 + n2)

where x1 and x2 are the number of household pets and wildlife animals leaving the shelter over the weekend, respectively.

Given

-n1 = 376, n2 = 52, x1 = 29, x2 = 10

p = (29 + 10) / (376 + 52) = 0.091

The observed proportions are:

p1 = x1 / n1 = 29 / 376 = 0.0771

p2 = x2 / n2 = 10 / 52 = 0.1923

The test statistic value

z = (0.0771 - 0.1923) / sqrt(0.091 * (1 - 0.091) * (1/376 + 1/52)) = -3.04

By using a standard normal distribution table,

The p-value is 0.00238.

Since the p-value (0.00238) is less than the level of significance (0.01), we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the number of animals leaving the shelter over the weekend for household pets and wildlife animals.

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