Can you answer this question​

He would travel 32.5 miles in 30 minutes. 130 split into a half is 65, split again and you get 32.5 miles.

Answer:

Height = 11 inches

Base = 33 inches

Step-by-step explanation:

In this question, we are asked to find the height and base of a parallelogram given the area of the parallelogram.

From the question, we are told that height is 1/3 of base. This means that base is 3 times the height

So if we represent the height with variable h, then the base is 3h

Mathematically the area of a parallelogram can be calculated by the formula

A = bh

Thus ,

363 = h * 3h

3h^2 = 363

divide through by 3

h^2 = 121

h = √121

h = 11 inches

since b = 3h , then b = 3 * 11 = 33 inches

Answer:

1.6

Step-by-step explanation:

12.8/8 = 1.6

15.2/9.5 = 1.6

Scale factor = 1.6

Answer:

❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

Answer:

i dont know

Step-by-step explanation:

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(a) The HCF of 6, 18, and 48 is 6.

(b) The HCF of 36 and 84 is 12.

(c)  The HCF of 69 and 75 is 3.

(d)  The HCF of 27 and 63 is 9.

The highest common factor (HCF) using the prime factorization is calculated as follows;

(a) 6, 18, and 48;

Prime factorization of 6 =  2 x 3

Prime factorization of 18 = 2 x 3²

Prime factorization of 48 = 2⁴ x 3

The HCF of the numbers;

HCF = 2 x 3 =  6

(b) 36 and 84:

Prime factorization of 36 = 2² x  3²

Prime factorization of 84 =  2²  x  3 x  7

HCF = 2² x 3 = 12

(c) 69 and 75;

Prime factorization of 69 = 3 x 23

Prime factorization of 75 =  3 x 5²

H.C.F = 3.

(d) 27 and 63

Prime factorization of 27 =  3³

Prime factorization of 63 =  3² x  7

H.C.F =  3² = 9.

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Given an LTI system that has an output y = 2te^-ul for the input x(t) = -(t). Here, e^-ul is the decay constant and is a real positive constant. The impulse response of the system can be found by considering the impulse input x(t) = δ(t).

The output of the system with an impulse input is given by y(t) = h(t), where h(t) is the impulse response of the system.We have,x(t) = -(t)..........(1)Applying derivative on both sides of the above equation, we get,y(t) = 2te^-ul, Applying derivative on both sides of the above equation, we get,

Plot of frequency response and Impulse response of the system Hence, the plot of frequency response and the impulse response of the LTI system is shown in the figure below:, the frequency response is given by H(jω) = (2/(-jω + ul)^2) where ω is the angular frequency. The impulse response of the system is given by h(t) = (2/ul^2)t.e^-ul.

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Answer:

40%

Step-by-step explanation:

The expression which is an equivalent form of the expression (n)-³ is; 1/n³.

According.to the question;

In essence, the variable n is raised to a power of -3.

On this note, using the law of indices regarding negative power; we can conclude that;

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The equation of the least-squares regression include the following: B. Volume = -0.013 +0.262 (Time³).

In Mathematics and Statistics, a least-squares regression line is a standard technique in regression analysis and statistics that is typically used for making the vertical distance obtained from the data points running to a regression line become very minimal or as small as possible.

Generally speaking, an equation to predict y from x is typically generated or created by using a regression line. Also, ln(cm³), ln (Seconds) is a transformation that linearizes a data set for volume and time.

Based on the regression analysis from the computer output, an equation of the least-squares regression is given by:

Volume = -0.013 +0.262 (Time³).

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The answer is 486 cm². Thus option c is the right answer.

According to the given question:

The surface area of the cube = 6s²

Surface Area is the area occupied by the six faces of the cube.

where, s ⇒  length of each edge.

Given,

length of each edge = 9cm.

Substituting values in the given formula,

6 × 9²

= 6 × 81

= 486 cm².

Therefore the surface area of the cube is 486cm².

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Answer:

Muliply 5 x6 then minus

Step-by-step explanation:

Answer:

C. Multiply the bottom equation by 2

Step-by-step explanation:

-2x+ 4y= 10

3x- 2y =-7

We want to multiply the second equation by 2

-2x+ 4y= 10

6x- 4y =-14

------------------

4x +0y = -4

Answer:

C. Multiply the bottom equation by 2

x = - 1

y = 2

Step-by-step explanation:

Multiplying 3x - 2y = - 7 by 2, we get:  

- 2x + 4y = 10

6x - 4y = - 14

____________

4x = - 4

x = - 1

Putting x = - 1 in 3x - 2y = - 7, we get:

3 * (- 1) - 2y = - 7

= - 3 - 2y = - 7

= - 2y = - 7 + 3

= - 2y = - 4

= y = 2

Hope this helps!

If the decision variables for a problem have to be integers, rounding the linear programming optimal solution for that problem will always result in a feasible solution.

However, this solution may not always be optimal. It may result in either a feasible or infeasible solution depending on the problem constraints.

Rounding may also result in an optimal solution if the optimal solution happens to already have integer values for the decision variables. Therefore, rounding may result in a feasible and optimal solution or just a feasible solution but not necessarily always optimal.

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The expression for the height of the box is 3x^(1)y^(-1)z^(1) units.

The volume of a rectangular box is given by the formula V = lwh, where l is the length, w is the width, and h is the height. We are given the volume, width, and length of the box and we are asked to find the expression for its height.

Volume = 60x^(6)y^(6)z^(10)
Width = 2x^(2)y^(3)z^(4)
Length = 10x^(3)y^(4)z^(5)

Substituting the given values into the formula for volume, we get:

\(60x^{(6)}y^{(6)}z^{(10)} = (2x^{(2)}y^{(3)}z^{(4))}(10x^{(3)}y^{(4)}z^{(5))(h)\)

Simplifying the right side of the equation, we get:

60x^(6)y^(6)z^(10) = 20x^(5)y^(7)z^(9)(h)

Dividing both sides of the equation by 20x^(5)y^(7)z^(9), we get:

h = (60x^(6)y^(6)z^(10))/(20x^(5)y^(7)z^(9))

Simplifying the fraction, we get:

h = 3x^(1)y^(-1)z^(1)

Therefore, the expression for the height of the box is 3x^(1)y^(-1)z^(1) units.

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a. To find the optimal solution using the graphical solution procedure, you first need to plot the constraints on a graph. Each constraint will be represented by a line or a boundary.

The feasible region is the area where all the constraints overlap. The optimal solution is the point within the feasible region that maximizes or minimizes the objective function.

b. To determine if the optimal solution changes when the objective function coefficient for X changes from 8 to 6, you will need to redraw the graph with the new coefficient. Plot the new objective function line and see if it intersects the feasible region at a different point. If it does, then the optimal solution has changed.

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a. To find the optimal solution using the graphical solution procedure, we need to plot the feasible region and identify the corner points. Let's assume the problem involves maximizing an objective function subject to linear constraints involving two variables, X and Y.

1. Identify the constraints and plot them on a graph to form the feasible region.

2. Determine the feasible region by finding the intersection points of the constraints.

3. Calculate the objective function value at each corner point of the feasible region.

4. Identify the corner point(s) that maximize the objective function. These corner points represent the optimal solution.

b. Assuming the objective function coefficient for X changes from 8 to 6, we repeat the steps above to find the new optimal solution. If the coefficients change, the objective function will have a different slope, and the optimal solution may change.

c. Assuming the objective function coefficient for X remains 8, but the coefficient for Y changes from 12 to 6, we again repeat the steps to find the new optimal solution. Changing the coefficient for Y will affect the slope of the objective function and may lead to a different optimal solution.

d. The sensitivity report provides information on how changes in objective function coefficients affect the optimal solution. The objective coefficient range indicates the range of values for which the current optimal solution remains optimal. If the coefficient for X is in the range of 3 to 8, the current optimal solution remains optimal.

Using Excel to solve the linear problem:

a. By setting up the linear problem in Excel using the Solver add-in, we can obtain the optimal solution, including the optimal production quantities for X and Y.

b. The sensitivity report generated by Excel provides information about the range of objective coefficient values for which the optimal solution remains unchanged. It gives insight into how much the objective coefficients can vary without affecting the current solution.

c. The shadow prices, also known as dual values, are obtained from the sensitivity report. These represent the marginal value of each constraint. If a constraint's shadow price is positive, it means an increase in its right-hand side (RHS) value would increase the optimal objective value. Conversely, if the shadow price is zero, the constraint is non-binding, and its RHS value doesn't affect the objective value.

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Answer:

y = 0.6028x+103.34929

*y=mx+b*

The feature NOT associated with the function h(x) is that the domain of h(x) is [0.).

The function h(x) is defined as (x - 5)² - log₁ x + 6.

Let's analyze each given option to determine which one is NOT a key feature of h(x).

Option 1 states that the domain of h(x) is [0, ∞).

However, the function h(x) contains a logarithm term, which is only defined for positive values of x.

Therefore, the domain of h(x) is actually (0, ∞).

This option is not a key feature of h(x).

Option 2 states that the x-intercept of h(x) is (5, 0).

To find the x-intercept, we set h(x) = 0 and solve for x. In this case, we have (x - 5)² - log₁ x + 6 = 0.

However, since the logarithm term is always positive, it can never equal zero.

Therefore, the function h(x) does not have an x-intercept at (5, 0).

This option is a key feature of h(x).

Option 3 states that the y-intercept of h(x) is (0, 25).

To find the y-intercept, we set x = 0 and evaluate h(x). Plugging in x = 0, we get (0 - 5)² - log₁ 0 + 6.

However, the logarithm of 0 is undefined, so the y-intercept of h(x) is not (0, 25).

This option is not a key feature of h(x).

Option 4 states that the end behavior of h(x) is as x approaches infinity, h(x) approaches infinity.

This is true because as x becomes larger, the square term (x - 5)² dominates, causing h(x) to approach positive infinity.

This option is a key feature of h(x).

In conclusion, the key feature of h(x) that is NOT mentioned in the given options is that the domain of h(x) is (0, ∞).

Therefore, the correct answer is:

O The domain of h(x) is (0, ∞).

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Answer:

D

Step-by-step explanation:

6 times 3 times 4 plus 3 times 3 times 2

Answer:

D. 90 ft squared

Step-by-step explanation:

A= 2wl + 2lh + 2hw

A = 18 + 36 + 36

=90

Considering the three-place Boolean function f defined

(a) f(1, 1, 1) = (7(1) + 2(1) + 4(1)) and f(0, 0, 1) = (7(0) + 2(0) + 4(1))

(b) Using an input/output table f is an odd parity function.

A Boolean function is a mathematical function that takes input values and returns a binary output value. In the given problem, the three-place Boolean function f is defined by the rule (7x1 + 2x2 + 4x3) mod 2, where x1, x2, and x3 are binary inputs.
To find f(1, 1, 1), we substitute x1=1, x2=1, and x3=1 in the given function. Therefore, f(1, 1, 1) = (7(1) + 2(1) + 4(1)) mod 2 = 1.
Similarly, to find f(0, 0, 1), we substitute x1=0, x2=0, and x3=1 in the given function. Therefore, f(0, 0, 1) = (7(0) + 2(0) + 4(1)) mod 2 = 0.
To describe f using an input/output table, we consider all possible input combinations of x1, x2, and x3 and evaluate the function for each combination. The resulting input/output table is as follows:
Input Output
x1 x2 x3 f
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 1
1 0 0 1
1 0 1 1
1 1 0 1
1 1 1 0
From the input/output table, we can see that the function f returns 1 when the sum of 7x1, 2x2, and 4x3 is odd and returns 0 when it is even. Thus, we can conclude that f is an odd parity function.

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Answer:

To convert a mass of ice into the total amount global sea levels would rise if the ice all melted (i.e., the sea level equivalent), we need to know how much area the oceans cover. This is usually given as 3.618 x 108 km2.

The estimation of \(\sqrt{46}\) to nearest integer and tenth are 7 and 6.8 respectively.

First, let us understand the estimation:

Estimation (or estimating) is the process of determining an estimate or approximation, which is a value that can be used for a specific purpose despite the fact that the input data may be incomplete, ambiguous, or unstable.

We are given \(\sqrt{46}\).

The value of \(\sqrt{46}\) is 6.782.

Estimate to the nearest integer:

6.782 lies between 6 and 7.

But is nearer to 7.

So, the nearest integer of 6.782 is 7.

Estimate to the nearest tenth:

6.782 lies between 6.7 and 6.8.

But is nearer to 6.8 as the hundredths value 8 is greater than 5.

So, the nearest tenth of 6.782 is 6.8.

Thus, the estimation of \(\sqrt{46}\) to nearest integer and tenth are 7 and 6.8 respectively.

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Answer:

Two angles whose sum in 90 degrees

Step-by-step explanation:

The correct option is a) (-7, 3) which is the midpoint of the segment.

To find the midpoint of a segment, we need to use the midpoint formula:

Midpoint = ( \((x1 + x2)/2 , (y1 + y2)/2\) )

The midpoint of a segment is the point that lies exactly halfway between the two endpoints of the segment.

It is calculated using the midpoint formula, which involves finding the average of the x-coordinates and y-coordinates of the endpoints.

Using the coordinates given in the diagram, we can substitute them into the formula:

Midpoint = ( (-9 + 5)/2 , (3 + 3)/2 )

Midpoint = ( (-4)/2 , 6/2 )

Midpoint = ( -2 , 3 )

However, it means that if we were to draw a line segment connecting (-9, 3) and (5, 3), the midpoint would be exactly in the middle of that line.

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Answer:

Sphere

Step-by-step explanation:

its a sphere with a radius of 5

The solid three dimensional image that is produced from the rotation of the semicircle is called a sphere.

This is used to define the movement of an object in a three dimensional plane around a fixed point.

This transformation os known to occur in a given point of the figure. The roataion is done at a certain degree.

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\( \: \)

\( = 125\)

Step-by-step explanation:

\(25 + 100 = ?\)

\(25 + 100 = 125\)

\( \: \)

Answer:

Finding the dilation's center point is the first step in determining the scale factor. Next, we measure the distances between the center point and various points on the preimage and the image. We may determine the scale factor by dividing these distances by 2.

Step-by-step explanation:

The graph of the trapezoid is shown below. The area is calculated as: D. 40 square units.

To find the area of a trapezoid, the formula used is given below:

Area of a trapezoid = 1/2 * (a + b) * h, where,

The trapezoid BATS with the following vertices, B (-4, 2), A (-2, 6), T (6, 6), S (8, 2), ahs been plotted in the graph shown in the image attached below.

1 unit = 1 box, therefore, we have the following:

a = length of AT = 8 units.

b = length of BS = 12 units

h = 4 units

Plug in the values:

Area of trapezoid BATS = 1/2 * (8 + 12) * 4

Area of trapezoid BATS = 1/2 * (20) * 4

= 10 * 4

Area of trapezoid BATS = 40 square units.

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