The average monthly cable TV rate from 1980 to 1997 can be modeled by R(t) = - 0.0036t ^ 3 + 0.13t ^ 2 + 7.7

where R(t) is the monthly rate (in dollars) and t is the number of years since 1980. Using this model, what would be the average monthly rate in 2012?

Answer:

it's a bit blurry dear could you type out the answer please thank you love

Answer:

Hi there!

The domain is:

20<=x<=40

Step-by-step explanation:

This states that:

x>=20

x<=40

Which fits the problem!

Hope this helps

For a given function f(x) we define the domain as the set of possible values of x that we can use in the function.

Here we will find that the domain is D: [20h, 40h]

We know that Ally wins $18 per hour, and she has two restrictions:

She cant' work more than 40 hours.

She needs to work at least 20 hours.

Then her weekly salary can be written as:

s(x) = $18*x

Where x is the number of hours that she works each week.

With the above restrictions we have:

20h ≤ x ≤ 40h

Then the domain is:

D: [20h, 40h]

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The average rate of change is $22.50 per class

The table of values represent the given parameter

The average rate of change is calculated as

Rate = Change in T(c)/Corresponding change in c

So, we have

Rate = (50 - 27.50)/(2 - 1)

Rate = 22.50

We start by calculating the function from

T(c) = mc + b

Where

m = Rate = 22.50

So, we have

T(c) = 22.5c + b

Using the points, we have

22.5 * 1 + b = 27.50

So, we have

b = 5

So, we have

T(c) = 22.5c + 5

For 5 classes, we have

T(5) = 22.5 * 5 + 5

T(5) = 117.5

The first class is 27.50 because the studio charges a registration fee of $5

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The Length of AD is 78 cm.

From the figure, G is Centroid.

The point in which the three medians of the triangle intersect is known as the centroid of a triangle.

It is also defined as the point of intersection of all the three medians. The median is a line that joins the midpoint of a side and the opposite vertex of the triangle.

The centroid of the triangle separates the median in the ratio of 2: 1.

Centroid divides median in the ratio 2:1 .

As per the given data AG = 52

2 parts is 52 .

3 parts is (52 × 3 )/2= 78

Therefore, the length of AD is 78.

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Answer: 74.3451780 since 83 is closer to 80

Answer:

74.4

Step-by-step explanation:

74.3451783

74.345178

74.34518

74.3452

74.345

74.35

74.4

Hope this helps

Answer:

(A) Nuclear fission takes place in the nucleus of atoms

Step-by-step explanation:

I took the test!

Answer:

C. 3.8 x 10¹⁰

Step-by-step explanation:

Our expression :

Steps to solve :

1) Take the values of the exponents of 10 and the other numbers separately.

C is the correct option.

Answer:

slope: 1.25

Part B: The order in which the points are given does not change the value of the slope

Step-by-step explanation:

Part A. Given two points we can find slope using the slope formula

\(m = \frac{y_2-y_1}{x_2-x_1}\)

Given the points ( -6, 1/2) and ( -4,3 )

We plug in the y values and x values (starting with the last point give )

\(m=\frac{3-.5}{-4-(-6)} \\3-\frac{1}{2} =2.5\\-4-(-6)=2\\\frac{2.5}{2} =1.25\\\)

so we can conclude that the slope of a line that passes through the points ( -6, 1/2) and ( -4,3 ) is 1.25

Part B. The order in which the points are given does not change the value of the slope

Observe -

* flip the order in which the points are given *

given (-4,3) and (-6,1/2)

we use the same formula

*plug in the y and x values starting with the last point*

\(m=\frac{.5-3}{-6-(-4)} \\.5 - 3=-2.5\\-6-(-4)=-2\\\frac{-2.5}{-2} =1.25\)

The slope still equals 1.25 meaning that the order in which the points are given does not matter.

Answer:

What can I answer ehh that's just an help ‍♀️‍♀️

Using the probability concept, it is found that the correct statements are given as follows:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are eight letters, two of which are vowels and six of which are consonants.

Hence:

E is one out eight letters, hence the probability is drawing the tile with E written on it is 1/8.

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Answer:

A, C, E

Step-by-step explanation:

The correct answers are A C E

or if you want to be more specific

A: The number of possible outcomes is 8.

C: P(vowel)=1/4

E: Choosing one letter at random is a simple event.

I got it right on Edge22

Answer: p = -16.3

Step-by-step explanation:

86.93 - 3.8 = 83.13

83.13/-5.1 = -16.3

The solution for A'0 is as follows:

A'0 = (βR^(-1/γ) / (1 - R^(-1/γ)))^(1/γ)

We start with the equation (A0 - A0')^(-γ) = βR(RA0')^(-γ). To solve for A'0, we isolate it on one side of the equation.

First, we raise both sides to the power of -1/γ, which gives us (A0 - A0') = (βR(RA0'))^(1/γ).

Next, we rearrange the equation to isolate A'0 by subtracting A0 from both sides, resulting in -A0' = (βR(RA0'))^(1/γ) - A0.

Finally, we multiply both sides by -1, giving us A'0 = -((βR(RA0'))^(1/γ) - A0).

Simplifying further, we get A'0 = (βR^(-1/γ) / (1 - R^(-1/γ)))^(1/γ).

Complete question - Solve for A'0, given the equation (A0 - A0')^(-γ) = βR(RA0')^(-γ),

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5.94 minutes is the half-life, or the amount of time it takes to half the substance to degrade (about 6 minutes).

When we use the formula A = A0(1 - r)t,

(1/2)A₀ = A₀(1 - 0.11)t

[Divide both sides by A₀ results in:

1/2 = (0.87)t

Using the log of both sides;:

log(1/2) = log(0.87)t

Using a logarithm property, we can bring the "t" to the front, giving us:

log(1/2) = t.log(0.89)

[Dividing both sides with log(0.89) gets us:

t =  log(1/2)/log(0.89)

Using calculator for soling the values.

t = 5.94 seconds

Thus, 5.94 minutes is the half-life, or the amount of time it takes to half the substance to degrade (about 6 minutes).

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Answer:

31.9

Step-by-step explanation:

15 + 3.6 + 18.6

The solution of the equation x^ay! + 5xy + (4 + x)y = 0, where x > 0, can be represented as a power series of the form y = ΣCnx^n, where C0 = 1 and Cn = 0 for n = 1, 2, 3, ...

To find the solution of the equation x^ay! + 5xy + (4 + x)y = 0, we can represent the solution as a power series expansion of the form y = ΣCnx^n, where Cn is the coefficient of x^n and n ranges from 0 to infinity. Plugging the power series into the equation, we get:

x^a*(ΣCnx^nn!) + 5x*(ΣCnx^n) + (4 + x)(ΣCn*x^n) = 0

We can then collect the terms with the same powers of x:

ΣCnx^(n+a)n! + Σ5Cnx^(n+1) + Σ(4 + x)Cnx^n = 0

For the equation to hold true for all powers of x, each term with the same power of x must be zero. Therefore, we can determine the coefficients Cn for each power of x. For n = 0, the term ΣCnx^a0! simplifies to C0x^a0! = C0*x^a. Since the equation must hold for all x > 0, the coefficient C0 must be non-zero. Therefore, C0 = 1. For n = 1, the term Σ5Cnx^2 simplifies to 5C1x^2 = 0. Therefore, C1 = 0. Similarly, for n = 2, 3, 4, ... , the terms involving Cn will also be zero, as they are multiplied by powers of x. Hence, the solution of the equation x^ay! + 5xy + (4 + x)y = 0 can be represented as y = C0x^a = x^a, where a is a positive real number, and the coefficients Cn are zero for n = 1, 2, 3, ....

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Let be "x" the cost in dollars of an adult ticket and "y" the cost in dollars of a child ticket.

You know that a 5 adults and 4 children went to the museum and the total cost was $19. Therefore, you can write the following equation:

The word "Three times" indicates a multiplication by 3. Therefore, "The

adult admission fee is three times the fee for a child" can be written as:

In order to find the values of "x" and "y", substitute the second equation into the first one and solve for "y":

To find "x", substitute the value of "y" into the second equation. Then:

Therefore, you can identify that the correct options are:

- One of the equations to be used in solving the problem is :

- The adult fee is 3 dollars.

To approximate the area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method, we can use the following formula:

Approximate Area = Δx * [f(x1) + f(x2) + f(x3) + f(x4)]

where Δx is the width of each subinterval and xi represents the right endpoint of each subinterval.

In this case, the interval [2, 4] is divided into four equal subintervals, so Δx = (4 - 2) / 4 = 0.5.

Now, let's evaluate the function at the right endpoints of the subintervals:

f(2.5) = 1/(2.5)^2 = 0.16

f(3) = 1/(3)^2 = 0.1111

f(3.5) = 1/(3.5)^2 = 0.0816

f(4) = 1/(4)^2 = 0.0625

Substituting these values into the formula:

Approximate Area = 0.5 * [0.16 + 0.1111 + 0.0816 + 0.0625]

Approximate Area = 0.5 * 0.4152

Approximate Area = 0.2076

Therefore, the approximate area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method is approximately 0.2076.

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Answer:

look down

Step-by-step explanation:

Parameter are values ​​that represents fixed characteristics of a population.

What is a parameter?

The parameter is an important component in statistical analysis because it describes fixed characteristics of the given population. The way to conclude the population characteristics is to perform statistical analysis on a sample of the population then calculate it with the parameter formula. The most commonly used parameters are mean, median, and mode. Data distribution of a ratio can be described by mean.  The Median is used to calculate the variables of data distribution which has a few data points that are different. Mode is used to know which number appears the most in a data distribution.

Based on statistical calculations from the existing population sample, conclusions can be drawn regarding the fixed characteristics of the entire population using parameters.

Hence, a parameter represents fixed characteristics of a population.

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Answer:

50 degrees

Step-by-step explanation:

just makes sense

Let, length of the rectangle = (k) m

∴ Width becomes = (k - 11) m

We know, perimeter of a rectangle = 2(l + b)

∴ 2(l + b) = 54

⇒ (k) + (k - 11) = 27

⇒ 2k = 27 + 11 = 38

⇒ k = 19

∴ Dimensions = (k)(k - 11) = 19 m × 8 {answer}.

The results obtained using the algebraic approach and the matrix approach should be the same. Both methods are mathematically equivalent and provide the most probable values of A and B that minimize the sum of squared weighted residuals.

To solve the system of equations using the weighted least squares method, we need to minimize the sum of the squared weighted residuals. Let's solve the problem using both the algebraic approach and matrices.

Algebraic Approach:

We have the following equations:

A + 2B = 10.50 + V1 ... (1)

2A - 3B = 5.55 + V2 ... (2)

2A - B = -10.50 + V3 ... (3)

To minimize the sum of squared weighted residuals, we square each equation and multiply them by their respective weights:

\(2^2 * (A + 2B - 10.50 - V1)^2\)

\(3^2 * (2A - 3B - 5.55 - V2)^2\\1^2 * (2A - B + 10.50 + V3)^2\)

Expanding and simplifying these equations, we get:

\(4(A^2 + 4B^2 + 10.50^2 + V1^2 + 2AB - 21A - 42B + 21V1)\\9(4A^2 + 9B^2 + 5.55^2 + V2^2 + 12AB - 33A + 16.65B - 11.1V2)\\(A^2 + B^2 + 10.50^2 + V3^2 + 2AB + 21A - 21B + 21V3)\\\)

Now, let's sum up these equations:

\(4(A^2 + 4B^2 + 10.50^2 + V1^2 + 2AB - 21A - 42B + 21V1) +\\9(4A^2 + 9B^2 + 5.55^2 + V2^2 + 12AB - 33A + 16.65B - 11.1V2) +\\(A^2 + B^2 + 10.50^2 + V3^2 + 2AB + 21A - 21B + 21V3)\int\limits^a_b {x} \, dx\)

Simplifying further, we obtain:

\(14A^2 + 31B^2 + 1113 + 14V1^2 + 33V2^2 + 14V3^2 + 14AB - 231A - 246B + 21V1 - 11.1V2 + 21V3 = 0\)

Now, we have a single equation with two unknowns, A and B. We can use various methods, such as substitution or elimination, to solve for A and B. Once the values of A and B are determined, we can substitute them back into the original equations to find the most probable values of A and B.

Matrix Approach:

We can rewrite the system of equations in matrix form as follows:

| 1 2 | | A | | 10.50 + V1 |

| 2 -3 | | B | = | 5.55 + V2 |

| 2 -1 | | -10.50 + V3 |

Let's denote the coefficient matrix as X, the variable matrix as Y, and the constant matrix as Z. Then the equation becomes:

X * Y = Z

To solve for Y, we can multiply both sides of the equation by the inverse of X:

X^(-1) * (X * Y) = X^(-1) * Z

Y = X^(-1) * Z

By calculating the inverse of X and multiplying it by Z, we can find the values of A and B.

Comparing Results:

The results obtained using the algebraic approach and the matrix approach should be the same. Both methods are mathematically equivalent and provide the most probable values of A and B that minimize the sum of squared weighted residuals.

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Answer:

The answer is the first option

Step-by-step explanation:

Tan is opposite over adjacent

so its 24/10

simplify

12/5

hope this helped

Step-by-step explanation:

(10, 9), (5 , 4)

Use the distance formula to determine the distance between the two points.

Distance

=√(x2−x1)² +(y2 - y1)²

Substitute the actual values of the points into the distance formula.

√(5−10)² +(4−9)²

Simplify.

5√2

Exact Form:

5√2

Decimal Form:

7.07106781

Hope it will help :)❤

Answer:

Exact form: 6/2

Decimal form: 8.48528137

Step-by-step explanation:

y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

The polynomial "\(S^2\) + 1" has 2 terms and the degree of the polynomial is 2.

The given polynomial is \(S^2\)

\(S^2\) + 1200. It has two terms: \(S^2\) and 1200.

The degree of a polynomial is the highest power of the variable in any of its terms.

The given polynomial is "\(S^2\) + 1".

It has two terms, particularly "\(S^2\)" and "1".

The diploma of the polynomial is the very best energy of the variable "S" in the polynomial.

The absolute best strength of "S" is 2

Therefore, the diploma of the polynomial is 2.

So, the polynomial "\(S^2\) + 1" has two phrases and the diploma of the polynomial is 2.

n this case, the highest power of S is 2, so the degree of the polynomial is 2.
The number of terms and the degree of a given polynomial.

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a) The convolution of the rectangular function rect(t) with itself can be calculated as follows:

rect(t) * rect(t) = ∫[−∞,∞] rect(τ) rect(t − τ) dτ

To find the convolution, we need to consider the overlapping intervals of the two rectangular functions. The rectangular function rect(t) has a width of 1 and height of 1 in the interval [−0.5, 0.5]. So, we need to evaluate the integral over the intersection of the two rectangles.

Since the rectangular function is symmetric, we can simplify the integral to:

rect(t) * rect(t) = ∫[−0.5, 0.5] 1 * 1 dτ = ∫[−0.5, 0.5] 1 dτ = τ ∣[−0.5, 0.5] = 0.5 − (−0.5) = 1

Therefore, the convolution of rect(t) with itself is a constant function equal to 1.

b) Given x(t) = u(t) (the unit step function) and y(t) = r(t) (the unit impulse function or Dirac delta function), we can find h(t) by convolving x(t) and y(t):

h(t) = x(t) * y(t) = ∫[−∞,∞] x(τ) y(t − τ) dτ

The unit step function u(t) is 1 for t ≥ 0 and 0 for t < 0. The unit impulse function r(t) is 0 for t ≠ 0 and its integral over any interval containing 0 is 1.

To calculate the convolution, we need to consider the overlapping intervals of the two functions. Since y(t) is non-zero only at t = 0, the convolution simplifies to:

h(t) = x(t) * y(t) = x(t) * r(t) = ∫[−∞,∞] x(τ) r(t − τ) dτ

Since r(t − τ) is non-zero only when t − τ = 0, which gives τ = t, the integral becomes:

h(t) = x(t) * y(t) = x(t) * r(t) = ∫[−∞,∞] x(τ) r(t − τ) dτ = x(t) r(t − t) = x(t) r(0) = x(t) * 1

Therefore, h(t) is equal to x(t) itself, which means h(t) = u(t) for the given functions x(t) = u(t) and y(t) = r(t).

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Answer:

camino 5 kilometros

Step-by-step explanation:

2-3+5