Solve the proportion using cross products.
6.
29 miles
58 hours
10 miles
h hours
(1 point)
O10
O20
025
040

A set of values for the decision variables that satisfy all the constraints and yields the best objective function value is a feasible solution that optimizes the objective function.

In optimization problems, decision variables are the quantities that we can control or adjust to achieve a desired outcome. Constraints are the limitations or conditions that these decision variables must satisfy. The objective function represents the goal or objective we want to optimize.

A feasible solution refers to a set of values for the decision variables that satisfy all the given constraints. This means that the solution meets all the specified requirements and does not violate any constraints. However, there can be multiple feasible solutions that meet the constraints.

Among these feasible solutions, the one that yields the best objective function value is the optimal solution. The objective function value is a measure of how well the solution aligns with the desired objective. The goal is typically to maximize or minimize this objective function value, depending on the problem.

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If 25% of a number is 45 and 70% of the same number is 126, then 45% of that number is 81.

25% of a number is 45

Let the number be x

25 % of x = 45

25/100 x = 45

(1/4)x = 45

x = 45 (4)

x = 180

We need to find 45% of 180

(45/100)x 180

= 81

Therefore, if 25% of a number is 45 and 70% of the same number is 126, then 45% of that number is 81.

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A parabola is a U-shaped curve that can open upwards or downwards. Its equation is typically in the form y = ax^2 + bx + c, where a, b, and c are constants. The properties of a parabola are determined by these constants.

Description about vertex,max/min,axis of

Description about vertex,max/min,axis ofsymmetry,zero(s),direction of opening,y-intercept of parabola:

Vertex: The vertex is the point where the parabola changes direction. It is the highest or lowest point on the curve, depending on whether the parabola opens upwards or downwards. The vertex is located at the point (-b/2a, f(-b/2a)), where f(x) is the

function that defines the parabola.

Max/min: The maximum or minimum value of the parabola is the y-coordinate of the vertex. If the parabola opens downwards, the maximum value occurs at the vertex. If the parabola opens upwards, the minimum value occurs at the vertex.

Axis of Symmetry: The axis of symmetry is a vertical line that passes through the vertex and divides the parabola into two mirror-image halves. The equation of the axis of symmetry is x = -b/2a.

Zero(s): The zero(s) of the parabola are the x-values where the parabola intersects the x-axis. These are also called roots or solutions of the quadratic equation. If the discriminant (b² - 4ac) is positive, the parabola intersects the x-axis at two points. If the discriminant is zero, the parabola intersects the x-axis at one point (which is also the vertex). If the discriminant is negative, the parabola does not intersect the x-axis and has no real roots.

Direction of Opening: The direction of opening of the parabola is determined by the sign of the coefficient a. If a is positive, the parabola opens upwards, and if a is negative, the parabola opens downwards.

y-intercept: The y-intercept is the point where the parabola intersects the y-axis. It is located at the point (0, c), where c is the constant term in the quadratic equation.

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Correct question is "For each parabolas, describe the following properties:

Vertex

Max/min

Axis of

Symmetry

Zero(s)

Direction of

Opening

y-intercept."

Answer:

2.25 feet deep

Step-by-step explanation:

The volume was given as (11.13 cubic feet)

Length as (2.6 feet)

Width as(1.9 feet)

Volume of triangular prism can be written as ( length × width × height)

Volume= ( length × width × height)

Then substitute the values, we have

11.13 = 2.6 × 1.9 × height

Height= 11.13/(2.6×1.9)

= 11.13/4.94

= 2.25 feet

Answer:

they intersect at 0,-2

Answer: -31

Step-by-step explanation:

-12+(-21)   is equal to -12-21 which is -31

The correct answer is:

Work and explanation:

Remember the integer rule:

\(\sf{a+(-b)=a-b}\)

Similarly

\(\sf{-12+(-20)=-12-20}\)

Simplify

\(\sf{-32}\)

FALSE. The lift curve slope for a finite-span wing is actually less than that of an infinite wing.

The lift curve slope is a measure of how much lift is produced as the angle of attack increases. An infinite wing is one that extends infinitely in the span-wise direction, while a finite-span wing has a finite length. When comparing the lift curve slope of the two, it is found that the lift curve slope of a finite-span wing is lower than that of an infinite wing.

This is due to the phenomenon known as wingtip vortices, which are created at the tips of a finite-span wing due to the pressure differences between the upper and lower surfaces of the wing. These vortices create a downwash behind the wing, reducing the effective angle of attack and therefore reducing the lift produced. In contrast, an infinite wing does not have wingtip vortices and therefore experiences a higher lift curve slope.

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Answer:

D

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

Answer:

A. 85

Step-by-step explanation:

The total fixed costs for the event amount to £2,800, which includes the security costs and the cost of the main band. Fixed costs are expenses that do not change with the number of attendees or sales.

To calculate the total fixed costs for the event, we need to identify the costs that do not change with the number of attendees. Based on the given information, the fixed costs include the security costs and the cost of the main band. Let's break it down:

Security costs: The security costs of £300 are fixed and do not depend on the number of attendees. This means the cost remains the same regardless of how many tickets are sold.

Cost of the main band: The cost of the main band is £2,500. Similar to the security costs, this cost is fixed and does not vary based on the number of attendees.

Therefore, the total fixed costs for the event would be the sum of the security costs and the cost of the main band:

Total Fixed Costs = Security Costs + Cost of Main Band

Total Fixed Costs = £300 + £2,500

Total Fixed Costs = £2,800

However, it's important to note that the cost of the supporting band, ticket prices, and the cost of the water bottles are not fixed costs. The cost of the supporting band and the cost of the water bottles are variable costs as they depend on the number of attendees. The ticket prices represent revenue, not costs.

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Answer:

Step-by-step explanation:

A is the answer

The, 9 kilograms is equal to approximately 19.84 pounds (rounded to two decimal places).

To convert 9 kilograms (kg) to pounds (lbs), you can use the following formula:

1 kg = 2.20462 lbs

So, to convert 9 kg to lbs, you can multiply 9 by 2.20462:

9 kg * 2.20462 lbs/kg = 19.84158 lbs

Therefore, 9 kilograms is equal to approximately 19.84 pounds (rounded to two decimal places).

"Kilograms" (kg) and "pounds" (lbs) are mass or weight measuring units.

The International System of Units' base unit of mass is the kilogramme (kg) (SI). The mass of a specific platinum-iridium alloy cylinder stored at the International Bureau of Weights and Measures in France is defined.

The pound (lb or lbs) is a popular measure of mass in the United States and other nations. One pound equals 0.45359237 kilos. The pound is often used to weigh objects such as humans, animals, and food.

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Answer:

neither......................

Answer:

None.

Step-by-step explanation:

To be parallel, slope must be equal

To be perpendicular, product of slope must be -1

For Slope of y=-x- 12

x+y=-12

Slope= - coefficient of x/coefficient of y = -1/1=-1

For Slope of -6x - 12y = 21

Slope= - coefficient of x/coefficient of y = -(-6)/-12=-1/2

They are neither same (-1,1/2) nor is their product -1(-1*-1/2=1/2)

Thus, they are neither parallel nor perpendicular.

Answer:

I honestly believe it's B I'm sorry if it's wrong

Step-by-step explanation:

the input is 11 .

x = 11

plz mark my answer as brainlist plzzzz.hope this will be helpful to you .

Answer:

X=11

Step-by-step explanation:

The output is 19.2 which is 19.2=1.2x+6.

Subtract 6 from 19.2 and you get 13.2.

Then divide by 1.2 and you get 11=x :))

Hope this helped:)) Please mark brainliest:))

Given:

The linear equation is, y = 3.

The objective is to fill the table with the given values of x in the table.

Explanation:

The x values are given as x = 0, -3, -4, -2, 4.

Since the given equation contains no x variable, the result of the equation will always be 3.

Thus, the table values are,

Hence, the table of values for the linear equation y = 3 is obtained.

Answer:

The set of all whole numbers

Step-by-step explanation:

Real numbers, integers, and rational numbers can all contain negative numbers. Whole numbers include numbers from 0 and up.

Hope this helps!

Have a nice day

The line integral along the curve C can be evaluated using Green's Theorem, which relates it to a double integral over the region enclosed by the curve.

In this case, the curve C is the boundary of the region enclosed by the parabolas\(y = x^2 and x = y^2\). To evaluate the line integral, we can first find the partial derivatives of the given vector field:

\(F = (3y + 7e^(√x)/2) dx + (10x + 7cos(y^2)) dy\)

Taking the partial derivative of the first component with respect to y and the partial derivative of the second component with respect to x, we obtain:

∂F/∂y = 3

\(∂F/∂x = 10 + 7cos(y^2)\)

Now, we can calculate the double integral over the region R enclosed by the curve C using these partial derivatives. By applying Green's Theorem, the line integral along C is equal to the double integral over R of the difference of the partial derivatives:

∮C F · dr = ∬R (∂F/∂x - ∂F/∂y) dA

By evaluating this double integral, we can determine the value of the line integral along the given curve.

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Answer:

b) y = -x2 + 6x + 2

Step-by-step explanation:

The P-value for the hypothesis test is approx. 0.7064.

To find the P-value for the hypothesis test, we need to perform a two-sample proportion test. The formula to calculate the test statistic for this test is given by:

\(\[ z = \frac{{(\hat{p}_1 - \hat{p}_2) - 0}}{{\sqrt{\hat{p}(1 - \hat{p})\left(\frac{1}{{n_1}} + \frac{1}{{n_2}}\right)}}} \]\)

where \(\hat{p}_1\) and \(\hat{p}_2\) are the sample proportions, \(\hat{p}\) is the combined sample proportion, \(n_1\) and \(n_2\) are the sample sizes, and 0 is the hypothesized difference in proportions.

In this case, we have \(n_1 = 50\), \(x_1 = 8\) (number of successes in sample 1), \(n_2 = 50\), and \(x_2 = 7\) (number of successes in sample 2).

First, we calculate the sample proportions:

\(\[ \hat{p}_1 = \frac{x_1}{n_1} = \frac{8}{50} = 0.16 \]\)

\(\[ \hat{p}_2 = \frac{x_2}{n_2} = \frac{7}{50} = 0.14 \]\)

Next, we calculate the combined sample proportion:

\(\[ \hat{p} = \frac{x_1 + x_2}{n_1 + n_2} = \frac{8 + 7}{50 + 50} = 0.15 \]\)

Then, we calculate the standard error:

\(\[ SE = \sqrt{\hat{p}(1 - \hat{p})\left(\frac{1}{{n_1}} + \frac{1}{{n_2}}\right)} = \sqrt{0.15(1 - 0.15)\left(\frac{1}{50} + \frac{1}{50}\right)} \approx 0.0529 \]\)

Finally, we calculate the test statistic:

\(\[ z = \frac{(\hat{p}_1 - \hat{p}_2) - 0}{SE} = \frac{(0.16 - 0.14) - 0}{0.0529} \approx 0.3772 \]\)

To find the P-value, we look up the test statistic in the standard normal distribution table. In this case, the P-value is the probability of observing a test statistic greater than 0.3772 or less than -0.3772.

Consulting the table, we find that the P-value is approximately 0.7064. Therefore, the P-value for the hypothesis test is approximately 0.7064.

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Answer:

78

Step-by-step explanation:
I think its 78 because for the top 2 cubes on the top I did one 2cm for one side then there are 8 sides in a cube so I did 2x8=16 and the cube below that is the same so that's also 16 then I did 16x2=32 so the green cubes are 32 and the big blue has 8sides as well each side is equal so 2+5+5+11=23 and there is two of them each next I did 23x2=46cm and finally do 32+46=78cm I hope that the right answer I don't know for sure make sure to check for sure hope this helps.

After using the linear regression we would have the value for a and b. a and b represent the slope (a) of a line and the y-intercept (b).

To find the values of the equation we must round the results of the linear regression to the nearest integer

a would be equal to -2 as the number -1.96341463 is nearer to -2 than -1.

b would be equal to 19 as the number 19.09756098 is nearer to 19 than 20.

The final equation would be:

y= -2x + 19

Answer:

The triangles are lined up with their correct pairs already.

Step-by-step explanation:

The leg that is the base is always seen as the bottom, and the leg to the side of it that makes the right angle will always be the height. Though if the base is at the hypotenuse as it is seen in the last photo, the height will be from the point of which the two legs of the triangle meet down to the hypotenuse.

Answer:

solving for x= x\geq -\frac{2}{3}

Answer:

I pretty sure the answer is c

The function from the given functions is \((f+g)(x)=2x^2+2x-2\). Therefore, the correct answer is option C.

The given functions are \(f(x)=-x^2+6x-1\) and \(g(x)=3x^2-4x-1\).

When the result of one function is used as the input for another, this is known as a composite function.

Here, \((f+g)(x)=f(x)+g(x)\)

\(= -x^2+6x-1+3x^2-4x-1\)

\(= 2x^2+2x-2\)

So, \((f+g)(x)=2x^2+2x-2\)

Therefore, the correct answer is option C.

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Answer:

The answer is b

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

To the nearest dollar, the value of the investment after 12 years will be approximately $9,962.

To find the value of a $5000 investment at an annual interest rate of 6.25% compounded quarterly after 12 years.

To find the value, we will use the compound interest formula:

A =\(P(1 + r/n)^(nt)\)

Where:

A = the future value of the investment

P = the principal amount ($5000)

r = the annual interest rate (0.0625)

n = the number of times interest is compounded per year (4 for quarterly)

t = the number of years (12)

Now, let's plug the values into the formula:

A =\(5000(1 + 0.0625/4)^(4*12)\)

A =\(5000(1 + 0.015625)^(48)\)

A = \(5000(1.015625)^(48)\)

A ≈ 9962.14

To the nearest dollar, the value of the investment after 12 years will be approximately $9,962.

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Answer:

When expenses are greater than revenue (first choice)

Step-by-step explanation:

Answer:

When expenses are greater than our revenue

Answer:

A) 48

B) -30

Step-by-step explanation:

Hello!

To compute f(-1) and f(5), we simply replace x with -1 and -5.

The answer to A is 48

We have the values for f(-1) and f(5), so we just switch the operation

The answer to B is -30