A rectangle has a height of 3 and a width of 2x2 + 3x – 5.

Answer:

a. 0 ≤ t ≤ 3.4 s. b. 0 ≤ y ≤ 50 ft. c. i. -∞ ≤ t ≤ +∞. ii. -∞ ≤ y ≤ 50

Step-by-step explanation:

a. What is the practical domain of the function?

Since the toy rocket lands on the ground 3.4 seconds later, if the time it starts to fly in the air is time t = 0 and the time it lands is time t = 3.4 s, the practical domain of the function is 0 ≤ t ≤ 3.4 s.

b. What is the practical range of the function?

Since the rocket reaches a maximum height of 50 ft, if the maximum height of the toy rocket is y = 50 ft and it lands on the ground at y = 0, the practical range of the function is 0 ≤ y ≤ 50 ft.

c. How would the theoretical domain and range of the function differ from the practical domain and range of the situation?

i. The theoretical values of t is from is from t = -∞ to t = +∞. So, the theoretical domain is -∞ ≤ t ≤ +∞.

ii. Since the maximum value of the function is y = 50, and it also decreases to y = -∞. So, the theoretical domain is from y = -∞ to y = 50. So, the theoretical range is -∞ ≤ y ≤ 50

The nonlinear regression model that specifies the given shape is option (d): yi = exp(β0 + β1x1i + β2x2i + ui).


Option (d) represents a nonlinear regression model where yi (the dependent variable) is equal to the exponential function of the sum of β0 (intercept), β1x1i (the coefficient of the first independent variable x1i), β2x2i (the coefficient of the second independent variable x2i), and ui (the error term).

The exponential function introduces nonlinearity into the model, allowing for curved or nonlinear relationships between the dependent variable and the independent variables. This form is suitable for capturing complex nonlinear shapes in the data. The other options either lack the necessary components (coefficients or nonlinearity) or provide a linear specification.

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Answer:

x = 23

Step-by-step explanation:

if line j is parallel to line k then

5x + 9 + 33 + x = 180 add like terms

6x + 42 = 180 subtract 42 from both sides

6x = 138 divide both sides by 6

x = 23

Answer:

2

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

that's a very vague question

Answer:

53/5

Step-by-step explanation:

I hope this helps u.

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(a) The limiting value for the logistic function is 1, meaning that as age increases, the probability of death upon contracting measles at that age approaches 100%.

(b) The limiting value of 1 indicates that as age increases, the risk of death from measles becomes almost certain.

(a) In the given model, the logistic function has a limiting value of 1. As age (t) increases, the probability of death from measles approaches 1, meaning that it becomes almost certain. This limiting value represents the maximum probability of death from measles that can be reached within the context of the model. It can be interpreted as the carrying capacity or upper bound for the probability of death from measles.

(b) In practical terms, the limiting value of 1 means that as individuals grow older, their vulnerability to death upon contracting measles increases significantly. The logistic model predicts that there is a point beyond which the risk of death becomes almost inevitable for individuals infected with measles. This underscores the importance of early vaccination and preventive measures, as they play a crucial role in reducing the risk of contracting measles at an early age when the probability of death is relatively lower.

(c) To find the age at which the model predicts a mortality rate of 50% (P = 0.5), we can set the given probability equation to 0.5 and solve for t. Substituting P = 0.5 into the equation, we get 0.5 = 1 / (1 + 77.39e^(-0.08t)). Solving this equation for t gives us t ≈ 8.66 years (rounded to two decimal places). Therefore, according to the model, the predicted age at which the mortality due to measles is 50% is approximately 8.66 years.

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Answer:

6:2

Step-by-step explanation:

Answer:6:2 I hope this is helpful

Step-by-step explanation:

6 apples to 2 mangos is 6:2

Answer:

14 or 0.14

Step-by-step explanation:

3 1/2 ÷ 1/4

1/4 = 25

3 1/2 ÷ 25 = 0.14 or 14

This is correct answer can you mark me brainliest

Answer:

$16.60

Step-by-step explanation:

4 x 0.85 = $3.40

20 - 3.40 = 16.6

Dave should get back $16.60 in change.

Answer:

$16.6 dollars back

Step-by-step explanation:

The answer is $16.6 because 0.85 times 4 is 3.4 and 20 minus 3.4 is 16.6

Answer:

(14, 4)

Step-by-step explanation:

The question is not well structured and incomplete.

Restructured

Find an ordered pair to represent in the equation vec t = 4 vec u +6 vec v where vec u =(-1,4) and vec v = (3,-2)

Substitute the given vector into the expression for vec t.

Recall that: vec t = 4 vec u +6 vec v

vec t = 4(-1,4)+6(3,-2)

vec t = (4(-1), 4(4)) + (6(3), 6(-2))

vec t = (-4, 16) + (18, -12)

vec t = (-4+18, 16+(-12))

vec t = (14, 16-12)

vec t = (14, 4)

Hence an ordered pair to represent vec t in the equation is (14, 4)

Note that the vec v was assumed. Any other vector coordinate can also be used

Answer:

Its going to be a line going straight across the 4 along the y axis .

Step-by-step explanation:

See graph attached

Answer:

put a dot on the y axis where the number 4 is

Answer:

\(x^{3}+x^{2} -14x-24\)

Explanation:

Using expontia

Answer:

k=3

Step-by-step explanation:

2(4k+3)−13=2(18−k)−13  

2(4k+3)−13=2(18−k)−13

(2)(4k)+(2)(3)+−13=(2)(18)+(2)(−k)+−13

8k+6+−13=36+−2k+−13

(8k)+(6+−13)=(−2k)+(36+−13)

8k+−7=−2k+23

8k−7=−2k+23  

8k−7+2k=−2k+23+2k

10k−7=23

 10k−7+7=23+7

10k=30

10k/10=30/10

k=3

Answer:

answer attached

Step-by-step explanation:

Answer:

when x = 0, the answer is 0

when x = 3, the answer is 24

when x = 4, the answer is 32

Answer:

When x=0 the answer is =0

When x=3 the answer is =24

When x=4 the answer is=32

Step-by-step explanation:

8*0=0

8*3=24

8*4=32

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An MIS differs from a TPS in that it creates databases is True.

An MIS (Management Information System) does indeed differ from a TPS (Transaction Processing System) in that it creates databases. The main purpose of an MIS is to collect, process, store, and disseminate information to support managerial decision-making within an organization. It involves the use of technology and various information systems to manage and analyze data for strategic planning, monitoring, and control.

One of the key components of an MIS is the creation and management of databases. Databases are structured collections of data that are organized, stored, and accessed in a systematic way. They serve as a central repository for storing relevant information that can be utilized by the MIS. These databases can contain data from various sources within the organization, such as sales records, customer information, inventory data, financial data, and more.

On the other hand, a TPS focuses primarily on the processing of transactions. It is designed to capture, process, and record day-to-day operational transactions, such as sales transactions, inventory updates, customer orders, and so on. While a TPS may store and retrieve data related to these transactions, its main focus is on efficiently processing and ensuring the accuracy and integrity of transactional data.

In summary, an MIS goes beyond the functionalities of a TPS by not only processing transactions but also creating and managing databases to support the informational needs of managers.

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The value of x by solving for x from 3x +2 = 38 is; 12.

According to the question;

The value of x from the equation is; x = 12

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By using the law of exponent the value of (24)⁻¹ is equal to  1/24.

To simplify (24)⁻¹, we can apply the rule for negative exponents.

The rule states that any non-zero number raised to the power of -n is equal to the reciprocal of that number raised to the power of n.

Applying this rule to (24)⁻¹, we have,

(24)⁻¹

= 1 / (24)¹

= 1 / 24

Therefore, applying the law of exponent (24)⁻¹ simplifies to 1/24.

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The above question is incomplete, the complete question is:

Using laws of exponents with integer exponents ,simplify (24)⁻¹.

one over two raised to the power of negative four one over two raised to the fourth power .

Step-by-step explanation:

Area of this figure = 14×11+5×2+11×2

=154+10+22

186m²

Answer:

164 sq. m.

Step-by-step explanation:

Cut the figure into 2 seperate shapes to find the area of them separately. (I cut it so that I had a 5*2 figure and a 14*11 figure)

14*11 because 16-5=11

14*11=154

5*2=10

154+10=164 sq. m.

The set up to solve the approximate length of the hypotenuse is;

a² = 2² + 4²

This is a theorem stating that the square of the longest side, that is, the hypotenuse is equivalent to the sum of the squares of the other two sides;

This is represented as;

a² = b² + c²

Given that the sides are;

Substitute the values, we get;

a² = 2² + 4²

a² = 4 + 16

add the values

a² = 20

Find the square root of both sides

a = √20

a = 4.47

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The volume of the rectangular prism is 728 cubic inches.

A rectangular prism is a three-dimensional object that has six faces, all of which are rectangles. It is also known as a rectangular parallelepiped. To find the volume of a rectangular prism, we need to know the area of the base and the height of the prism.

The base of a rectangular prism is a rectangle, and its area is given by the formula A = lw, where l is the length and w is the width of the rectangle. Once we know the area of the base, we can find the volume of the prism by multiplying the base area by the height of the prism. The formula for the volume of a rectangular prism is:

V = Bh

where B is the area of the base and h is the height of the prism.

In the given problem, we are given the base area of the rectangular prism as 52 square inches and the height as 14 inches. Therefore, we can substitute these values into the formula to find the volume of the rectangular prism:

V = Bh = 52 sq in * 14 in = 728 cubic inches

So the volume of the rectangular prism is 728 cubic inches.

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Summary:

(i) To find the value of α such that the vectors v1, v2, and v3 are linearly dependent, we can set up a system of equations and solve for α.(ii) The Basis Theorem states that any set of linearly independent

(i) To check if v1, v2, and v3 are linearly dependent, we can set up the following equation:

c1v1 + c2v2 + c3v3 = 0,

where c1, c2, and c3 are constants. Substituting the given values of v1, v2, and v3, we have:

c1(3,7,7) + c2(1,4,4) + c3(α,1,1) = 0.

Simplifying this equation, we get the following system of equations:

3c1 + c2 + αc3 = 0,

7c1 + 4c2 + c3 = 0,

7c1 + 4c2 + c3 = 0.

We can solve this system of equations to find the value of α that satisfies the condition.

(ii) The Basis Theorem states that any set of linearly independent vectors that span a vector space can be used as a basis for that vector space. By applying the Basis Theorem to the vectors v1, v2, and v3, we can check if they form a basis for ℝ3. If they do, we can find the coordinates of a given vector, such as (2,3,5), in terms of the basis using Gaussian Elimination.

To apply Gaussian Elimination, we set up the augmented matrix [v1 | v2 | v3 | b], where b is the given vector (2,3,5). Then we perform row operations to obtain the row-echelon form of the augmented matrix. The resulting matrix will allow us to determine the coordinates of b in terms of the basis vectors.

By performing the Gaussian Elimination process, we can find the coordinates of (2,3,5) in terms of the basis vectors.

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There is no value of α that makes the vectors linearly dependent, and the basis for ℝ³ using the vectors [377, 148, 11α] is {v₁, v₂, v₃}, with the coordinates of [2, 3, 5] in terms of the basis found through Gaussian Elimination.

(i) To find the value of α such that vectors v₁, v₂, and v₃ are linearly dependent, we need to determine if there exist scalars a, b, and c, not all zero, such that a(v₁) + b(v₂) + c(v₃) = 0. Substituting the given values, we have a(377) + b(148) + c(11α) = 0. By solving this equation, we can find the value of α that satisfies the condition for linear dependence.

(ii) The Basis Theorem states that any set of linearly independent vectors that spans a vector space forms a basis for that vector space. Using a different value of α than the one found in (i), we can apply the Basis Theorem to determine a basis for ℝ³ using the vectors v₁, v₂, and v₃.

By performing Gaussian Elimination or row reduction on the augmented matrix [v₁ v₂ v₃], we can determine the basis vectors. The coordinates of vector [2 3 5] in terms of the basis can be found by solving the system of equations formed by equating the linear combination of the basis vectors to [2 3 5].

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Step-by-step explanation:

Make sure to see the photo I tried to explain every part there