determina el dominio y el rango de las funciones representadas en cada grafica

The provided information suggests that the prison population in Florida is the lowest it has been in 15 years. However, it is not entirely clear whether this is due to the impact of coronavirus on intakes into the prison system.

In order to further support the claim, additional information would be needed to establish a direct causal relationship between the slower intakes due to coronavirus and the lower prison population.

Such measures might include the release of non-violent offenders, changes in sentencing policies, or reductions in bail amounts. This type of information would provide a more complete picture of the factors that have contributed to the lower prison population in Florida.

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Answer:

4/5

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

In similarity polygons, the corresponding sides are in same proportion.

         \(\dfrac{RP}{VZ} = \dfrac{MP}{WZ}\\\\\dfrac{3x-1}{4} =\dfrac{8x -1}{12}\\\\\\Cross \ multiply,\\\\12*(3x -1) = 4*(8x - 1)\)

          12*3x - 12*1  = 4 *8x - 4*1      {Distributive property}

           36x  - 12     = 32x - 4

Add 12 to both sides,

                      36x = 32x - 4 + 12

                     36x  = 32x + 8

Subtract 32x from both sides,

               36x -32x = 8

                      4x    = 8

Divide both sides by 4,

                           x = 8 ÷ 4

                           x = 2

Answer:

Step-by-step explanation:

combing the terms:

15p+5p+7q-4q=

=20p+3q

Answer:

The answer is 23

Step-by-step explanation: Pretend like the variable isn't there and combine them and then put the variable after you're done solving.

Answer:F(x)=4x-20

Step-by-step explanation:

The X on both sides is 12.

Answer:

The graph of f (x)=[x+2] after it is translated 4 units to the right

Answer:

c

Step-by-step explanation:

2+3x-18

Answer: the last one

Step-by-step explanation:

Answer: 2.44736

Step-by-step explanation:

Answer:

your answer will be B. y = | x+4 | - 2

Step-by-step explanation:

hope it helps you

have a nice day!!

Answer:

its i either c or b but i would chose C.

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^3+3x^2<x+3

(-∞,-3)∪(-1,1)

Answer:

it would be c because you add them

Answer:

C

Step-by-step explanation:

straight guess

The value of the sample proportionThe sample proportion is the percentage of individuals in a sample who have the attribute of interest. As a result, the sample proportion is computed by dividing the number of students who answered "yes" by the total number of students surveyed.

Here's the computation:Sample proportion= 220/400= 0.55Therefore, the sample proportion is 0.55.b. The standard error of the sample proportionThe standard error of the sample proportion can be determined using the following formula:Standard error of Standard error of the sample proportion= √[(0.55 * 0.45)/400]= √(0.00061875)= 0.0249Therefore, the standard error of the sample proportion is 0.0249.c. Constructing an approximate 95% confidence interval for the true proportion

A confidence interval is a range of values around a sample statistic, such as the sample proportion, that is expected to contain the true value of the population parameter with a certain degree of confidence. A 95 percent confidence interval implies that we are 95 percent certain that the true population parameter is within the specified interval.Let's first compute the margin of error:Margin of error= z* √[(p*q)/n]wherez= critical value of the standard normal distribution for a 95% confidence level= 1.96Margin of error= 1.96* √[(0.55*0.45)/400]= 0.0487Therefore, the margin of error is 0.0487. Now that we have the margin of error, we can construct the confidence interval using the following formula:Confidence interval= sample proportion ± margin of error= 0.55 ± 0.0487= (0.5013, 0.5987)Therefore, an approximate 95 percent confidence interval for the true proportion is (0.5013, 0.5987).

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The value of \(f_X(0.5)\) is 0.75, given the uniform joint PDF of the random variables X and Y, \(f_{X,Y} (x,y)=3\), on the set {(x,y)|0≤x≤1, 0≤y≤1, y≤x²}.

We to find the value of \(f_X(0.5)\) given the uniform joint PDF of the random variables X and Y, \(f_{X,Y} (x,y)=3\), on the set {(x,y)|0≤x≤1, 0≤y≤1, y≤x²}.

To find \(f_X(0.5)\), we need to compute the marginal PDF of X by integrating the joint PDF over the range of Y.

First, determine the range of Y.
Since y ≤ x², and we're given x = 0.5, the range of Y is 0 ≤ y ≤ (0.5)² = 0.25.

Integrate the joint PDF over the range of Y.
\(\begin{aligned}f_X(x) & =\int_{y=0}^{y=0.25} f_{X, Y}(x, y) d y \\& =\int_{y=0}^{y=0.25} 3 d y \\& =[3 y]_{y=0}^{y=0.25} \\\end{aligned}\)

Substitute the given joint PDF.
fx(0.5) = 3(0.25) - 3(0) = 0.75.

So, the value of \(f_X(0.5)\) is 0.75.

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It appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).

Here, we have,

given that,

min t_i

x₁ = x₂-u

x₂ = u

-1 ≤ u ≤ 1, (x₁, x₂) are arbitrary starting point.

and origin  (0,0) be the begging of the coordinate.

also given that, (x₁, x₂)→ (0,0)

so, min t_i at origin (0,0) = t

Therefore, the generality condition of the situation does not met.

so, we get,

The given system can be represented by the following equations:

x₁' = x₂ - u

x₂' = u

To analyze the behavior of the system, we can examine the dynamics of each variable separately.

For x₁:

x₁' = x₂ - u

The equation implies that the rate of change of x₁ is dependent on x₂ and the input u. The term (-u) acts as a control input that can affect the dynamics of x₁. If we choose an appropriate control input u, we can manipulate the rate of change of x₁ and potentially minimize the time required to reach the origin.

For x₂:

x₂' = u

The equation for x₂ indicates that the rate of change of x₂ is solely determined by the input u. The variable x₂ can be directly controlled by the input u, allowing us to influence its behavior and potentially expedite convergence.

Based on the given equations, it appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).

By carefully selecting the control input, it is possible to achieve the shortest time to reach the origin from any arbitrary starting point (x₁, x₂).

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Answer:

f(-3) = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = -1x - 4

Step 2: Evaluate

Answer:

8/9

Step-by-step explanation:

2/3 ÷ 3/4

2*4/(3*3)

8/9

the value of F(9) is approximately 23.308.

To find the value of F(9) given that F(x) is an antiderivative of (ln x)^3/x and F(1) = 0, we can use the fundamental theorem of calculus.

According to the fundamental theorem of calculus, if F(x) is an antiderivative of a function f(x), then:

∫[a,b] f(x) dx = F(b) - F(a)

Since F(1) = 0, we can write:

∫[1,9] (ln x)^3/x dx = F(9) - F(1)

To evaluate the integral, we can make a substitution:

Let u = ln x, then du = (1/x) dx

The integral becomes:

∫[ln 1, ln 9] u^3 du

Integrating u^3 with respect to u:

[(1/4)u^4] | [ln 1, ln 9] = (1/4)(ln 9)^4 - (1/4)(ln 1)^4

Since ln 1 = 0, we have:

(1/4)(ln 9)^4 - (1/4)(ln 1)^4 = (1/4)(ln 9)^4

Therefore, F(9) - F(1) = (1/4)(ln 9)^4

Since F(1) = 0, we can conclude that F(9) = (1/4)(ln 9)^4.

Calculating this value:

F(9) = (1/4)(ln 9)^4 ≈ 23.308

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The finite region R in the first quadrant is bounded above by the inverted parabola y = -(x^2 - 6x), bounded on the right by the straight line r = 3, and bounded below by the horizontal straight line y=5.

To find the finite region R in the first quadrant, we need to plot the given curves and find their intersection points.

First, let's plot the horizontal straight line y=5. This line passes through the point (0,5) and is parallel to the x-axis.

Next, let's plot the straight line r=3. This is a vertical line that passes through the point (3,0) and is parallel to the y-axis.

Finally, let's plot the inverted parabola y = -(x^2 - 6x). We can rewrite this equation as y = -[(x-3)^2 - 9]. This parabola opens downwards and its vertex is at (3,9).

To find the intersection points of these curves, we need to solve their equations simultaneously.

The horizontal line y=5 intersects the parabola when:

5 = -(x^2 - 6x)

x^2 - 6x - 5 = 0

(x-1)(x-5) = 0

So the line intersects the parabola at x=1 and x=5.

The vertical line r=3 intersects the parabola when:

r = 3

y = -(x^2 - 6x)

y = -(9 - 6x)

y = 6x - 9

So the line intersects the parabola at (3,-3) and (3,9).

Now we can find the finite region R in the first quadrant. It is bounded above by the inverted parabola y = -(x^2 - 6x), bounded on the right by the straight line r = 3, and bounded below by the horizontal straight line y=5.

Thus, the horizontal straight line y=5 and the inverted parabola y = -(x2 - 6x) are the upper, right, and lower boundaries of the finite region R in the first quadrant, respectively.

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The solution to the problem shows us that we have that m = 21.

1/3(m - 12) = 3

We would now have to multiply all the terms on the left hand side by 1/3 and by so doing apply the distributive property and we are going to have that;

m/3 - 4 = 3

We would now have to add four to both sides so that we can have the equation balanced and we have that;

m/3 - 4 + 4 = 3 + 4

m/3 = 7

We can now multiply both sides by three as we can see to have the solution to the problem and then we are going to have that;

m/3 * 3 = 7 * 3

m = 21

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Answer:

49.5ft³

Step-by-step explanation:

If it is 2 ft more than 3 times as long as it is wide then:

l = 3w + 2

which means:

w = (l-2)/3

and:

d = 1/2((l-2)/3)

Now just substitute in 11 for l

w = (11 - 2)/3

w = 9/3

w = 3

d = 1/2((11-2)/3)

d = 1/2(9/3)

d = 1/2(3)

d = 1.5

So the total volume is:

11 * 3 * 1.5

49.5

Step-by-step explanation:

You have selected the correct option

Answer:

b=5

Step-by-step explanation:

the answer is in the image above

Answer:

5

Step-by-step explanation:

The Pythagorean Theorem states that a^2 + b^2 = c^2 for right triangles where a and b are the legs and c is the hypotenuse.

In the image, b and 12 are legs and 13 is the hypotenuse, so b^2 + 12^2 = 13^2 -> b^2 = 13^2 - 12^2 = 169 - 144 = 25 -> b = 5

I hope this helps! :)

Step-by-step explanation:

both are converted to fraction

with 5 as the denominator

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.

From the expression m = 5a + 2f,

The value of a is

a = (1/5)m - (2/5)f

The value of f is

f = (1/2(m - (5/2)a

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,

m = 5a + 2f

We will solve for a and f.

Solve for a.

m = 5a + 2f

Subtract 2f on both sides.

m - 2f = 5a

Divide both sides by 5.

m/5 - (2/5)f = a

a = (1/5)m - (2/5)f

Solve for f.

m = 5a + 2f

Subtract 5a on both sides.

m - 5a = 2f

Divide both sides by 2.

f = (1/2(m - (5/2)a

Thus,

From the expression m = 5a + 2f,

The value of a is

a = (1/5)m - (2/5)f

The value of f is

f = (1/2(m - (5/2)a

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The magnitude of the vector sum V is approximately 14.87 units and the angle θ that V makes with the positive x-axis is approximately 59.04 degrees.

Given a vector sum:

V = V₁ + V₂

We need to find the magnitude of the vector sum  and the angle θ that V makes with the positive x-axis.

Given:

V₁ = 11 units

a = 3

b = 5

First, let's find V₂ using the components a and b:

V₂ = √(a² + b²)

V₂ = √(3² + 5²)

V₂ = √(9 + 25)

V₂ = √34

Now we can find the magnitude of V (V = V₁ + V₂):

V = V₁ + V₂

V = 11 + √34

The magnitude of V is 11 + √34 units.

To find the angle θ that V makes with the positive x-axis, we can use the arctan function:

θ = tan⁻¹(b/a)

θ = tan⁻¹(5/3)

θ = 59.04°.

The vector V can be represented in terms of its x and y components:

V = (Vx, Vy)

The x-component of V is the sum of the x-components of V₁ and V₂:

Vx = V₁x + V₂x

Vx = 11 + 3

Vx = 14

The y-component of V is the sum of the y-components of V₁ and V₂:

Vy = V₁y + V₂y

Vy = 0 + 5

Vy = 5

Now we have the x and y components of V (Vx = 14, Vy = 5). The magnitude of V can be found using the Pythagorean theorem:

|V| = √(Vx² + Vy²)

|V| = √(14² + 5²)

|V| = √(196 + 25)

|V| = √221

|V| ≈ 14.87 units

Therefore, the magnitude of the vector sum V is approximately 14.87 units and the angle θ that V makes with the positive x-axis is approximately 59.04 degrees.

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The sample mean is 61.23 and sample standard deviation is 14.96. The sample mean when smallest observation (31°F) was removed is 66.06 and the sample standard deviation is 14.75.

To calculate mean, we divide the sum of all the values by the number of observations. Standard deviations are found by taking the square root of the square of sum of differences of each values with the mean and later dividing the sum by (n - 1) where n is the number of observations.

a.

To find the sample mean, we sum up all the values and divide by the number of observations:

M = (83 + 46 + 61 + 40 + 83 + 67 + 45 + 66 + 70 + 69 + 80 + 58 + 68 + 60 + 67 + 72 + 73 + 70 + 57 + 63 + 70 + 78 + 52 + 67 + 53 + 67 + 75 + 61 + 70 + 81 + 76 + 79 + 75 + 76 + 58 + 31) / 35

M = 61.23

To find sample standard deviation, we need to find the square root of the square of sum of differences of each values with the mean and later dividing the sum by

(n - 1).

S = √((sum of squared differences) / (n-1))

S = √(83 - 61.23)² + (46 - 61.23)² + ... + (31 - 61.23)² / 34

S = 14.96

b.

To find the sample mean by removing the smallest observation (31°F), we sum up all the remaining values and divide by the number of observations:

M = (83 + 46 + 61 + 40 + 83 + 67 + 45 + 66 + 70 + 69 + 80 + 58 + 68 + 60 + 67 + 72 + 73 + 70 + 57 + 63 + 70 + 78 + 52 + 67 + 53 + 67 + 75 + 61 + 70 + 81 + 76 + 79 + 75 + 76 + 58) / 34

M = 66.06

To find sample standard deviation by removing the smallest observation (31°F), we need to find the square root of the square of sum of differences of each values with the mean and later dividing the sum by

(n - 1).

S = √(83 - 61.23)² + (46 - 61.23)² + ... + (31 - 61.23)² / 33

S =  14.75

c. With the smallest observation removed: the sample mean is 14.96 and the sample standard deviation 14.75.

Therefore, the sample mean is 61.23 and sample standard deviation is 14.96. The sample mean when smallest observation (31°F) was removed is 66.06 and the sample standard deviation is 14.75.

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Answer:

correct answer would be S. A. S,

Through direct proportionality, we calculated that Seven questions will be answered in 10 minutes and 30 seconds.

Seven questions will need to be answered in 10 minutes and 30 seconds.

Direct proportionality: What is it?

The relationship between two values where their ratio equals a constant number is known as a direct proportion or direct variation. In mathematics, a straight line is used to express direct proportionality, and its equation is of the form y = kx , k = y/x, where [k] is the constant.

The assumption is that the time it takes to finish each question and the number of completed questions [y] are inversely proportional to one another.

The time [x] it takes to complete them is directly proportional to the number of questions [y] that are answered. As a result, y = kx, k = y/x, and y is directly proportional to x.

Thus, we can write:

y₁/x₁ = y₂/x₂

Substituting the values,

4/6 = 7/x₂

x₂ = (7 x 6)/4

x₂ = 21/2  

x₂ = 10.5

x₂ = 10 minutes 30 seconds

Therefore, Seven questions will be answered in 10 minutes and 30 seconds.

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Answer:

Rounded to the tenth: 3.7

Hope this helped!

Answer:

the answer is a

Step-by-step explanation:

3.7

Answer:

14. 2

15. 7

16. 3

17. 8

11. 490

12. 9

13. 27

Step-by-step explanation:

14. 15y = 30 --> y = 30/15 = 2

15. 7t = 49 --> 49/7 = 7

16. 4 + 4x = 16 --> 4x = 16 - 4 = 12 --> x = 12/4 = 3

17. 4x + 2x = 48 --> 6x = 48 --> x = 48/6 = 8

11. r/7 = 70 --> r = 490

12. k/9 = 6 - 5 = 1 --> k = 9

13. b/3 = 9 --> 27

*You may plug in to check :)

Applying law of sine and law of cosine, the unknown values x and y are 16.2 units and 37.1 degrees respectively.

To determine the value of x and y in the given triangle, we can use law of sine or law of cosine depending on the variables available and what we need to determine.

Applying law of cosine;

x² = 15² + 10² - 2(15)(10)cos78

x² = 225 + 100 - 300cos78

x² = 225 + 100 - 62.4

x² = 262.6

x = √262.6

x = 16.2 units

From this, we can apply law of sine to determine y;

x / sin X = y / sin Y

Substituting the values into the formula above;

16.2 / sin78 = 10 / sin y

Cross multiply both sides and solve for y;

16.2siny = 10sin78

sin y = 10sin78 / 16.2

sin y = 0.6038

y = sin⁻¹ (0.6038)

y = 37.14°

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