4 + d = 6; 2

I need help with this answer dose am

Answer:

Cost of one carpet tile = (Total cost-3*tin of paint cost)/24

                                      =(100.20-3*13.16)/24=2.53

Hope this helps <3

Answer: £2.53

13.16 x 3 = 39.48

100.20 / 39.48 = 2.53

Using the critical points `x` and `y`,

we can calculate `z = 40/xy`.`z` will be undefined when `y = 0`.

So, the dimensions that minimize the cost are `

\(x = (130)^(1/5)\)` and `y = 0`.

Part 1:

The heat lost by a thermal system is given as hl.³T, where h is the heat transfer coefficient, 7 is the temperature difference from the ambient, and L is a characteristic dimension h=3 (3)

It is also given that the temperature T must not exceed 7.51/4.

Assuming that the mentioned maximum temperature is available (hence T = 7.5L/4), calculate the dimension L. that minimizes the heat loss.

We have to find the value of L that will minimize the heat loss.

Heat loss can be given as;` Hl.ΔT`where `ΔT = T − Ta`

Here, `T = 7.5L/4`Ta is the ambient temperature.

Therefore, `ΔT = T − Ta = 7.5L/4 − Ta`

If we substitute this into the above equation, we get :

Heat loss `H = hl.7.5L/4`

Temperature must not exceed `7.5/4`.

Therefore,`7.5L/4 = 7.5/4`or, `L = 1`

Therefore, dimension L that minimizes the heat loss is `1`.

Part 2:The cost C of a storage chamber is given in terms of three dimensions as `

\(C= 8x² +4² +52² xy`\)

With the volume given as `xyz = 40`.

Recast this problem as an unconstrained problem with two `40` from the decision variables, and determine the dimensions that minimize the cost.

Substituting `z = 40/xy` into the objective function `C`, we have: `

\(C(x,y) = 8x² + 4y² + 52xy (40/xy)`So, `C(x,y) = 8x² + 4y² + 2080/x`\)

To find the minimum value of `C`, we can take partial derivatives of `C(x,y)` with respect to `x` and y.

`\(∂C/∂x = 16x − 2080/x²\)`

and `

\(∂C/∂y = 8y + 0\)

`Setting these derivatives equal to zero and solving for `x` and `y`, we obtain:`

16x − 2080/x² = 0`or, `x⁵ = 130`and `y = 0`

Using the critical points `x` and `y`, we can calculate `z = 40/xy`.`z` will be undefined when `y = 0`.So, the dimensions that minimize the cost are `x = (130)^(1/5)` and `y = 0`.

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Answer:

the second option, the third option, and the last option

Step-by-step explanation:

Answer: a,c,d

Step-by-step explanation: just took it

Step-by-step explanation:

Principal = 250,000

Rate = 4%

Simple interest = 850,000

Time = ?

\(t = \frac{100 \times interest}{principal \times rate} \\ t = \frac{100 \times 850000}{250000 \times 4} \\ t = \frac{100 \times 85}{25 \times 4} \\ t = \frac{8500}{100} \\ t = 85years\)

Answer:

The answer is C

Step-by-step explanation:

I just took the test, got it wrong, just so I could answer this, I answered b, but it's c

Answer:

C is the answer  :)

Step-by-step explanation:

got it right on the test

Fallacies are common errors in reasoning that can undermine the validity of an argument. Four types of fallacies include ad hominem, straw man, false cause, and appeal to ignorance.

Basic Form: Person A attacks the character or personal traits of Person B instead of addressing the argument they presented.

Analysis: In this example, the argument is dismissed based on the political affiliation of the researchers, rather than engaging with the research itself.

Basic Form: Person A misrepresents Person B's argument and attacks the distorted version instead of addressing the actual argument.

Analysis: The response misrepresents the call for increased investment in education as an extreme stance that would bankrupt the country, diverting attention from the actual argument.

Basic Form: Assuming a causal relationship between two events solely based on their correlation.

Analysis: The superstition of lucky socks is falsely attributed as the cause of the team's winning streak, ignoring other possible factors or coincidences.

Basic Form: Arguing that a claim must be true or false because it hasn't been proven otherwise.

Analysis: The lack of evidence against the existence of ghosts is used as a basis to assert their reality, disregarding the burden of proof and relying on the absence of evidence as evidence itself.

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Answer:

x= 19

Step-by-step explanation:

7x-8 = 6x+11

7x-6x= 11+8

x=19

From the figure we can see that the angles are. vertically opposite angles and we know that vertically opposite angles are equal to each other.

Therefore, (7x - 8)° = (6x + 11)°

=> 7x - 6x = 11 + 8

=> x = 19

Hence, value of x is 19.

Answer:

161° and 19°

Step-by-step explanation:

supplementary angles =180

(142+x)+(x)=180

142+2x=180

2x=180-142

2x=38

x=19

142+19=161

Answer:

30ft

Step-by-step explanation:

Given data

Volume= 360 ft^3

Area= 12 ft^2

We know that the expression for volume is

Volume= Area*Height

Substitute

360= 12*h

h= 360/12

h= 30 ft

Hence the height of the prism is 30ft

Answer:

A: y = -4/5x + 3/2 i believe is the correct answer

Step-by-step explanation:

The weight of the melted ice cream would be the same as the weight of the original ice cream, which is 5 ounces.

a quantity or thing weighing a fixed and usually specified amount. : a heavy object (such as a metal ball) thrown, put, or lifted as an athletic exercise or contest. 3. : a unit of weight or mass see Metric System Table.

When the ice cream melts, it undergoes a change in state from solid to liquid, but the total mass or weight remains unchanged. Therefore, the weight of the melted ice cream is still 5 ounces.

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Answer:

y = -3 is the equation of the line shown in the graph.

Step-by-step explanation:

Hope this is helpful.

Answer:

The equation is y= -3

Step-by-step explanation:

It's a constant function

Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

The first constraint is a linear equation that relates the variables x1, x2, and x3, and the second constraint is an inequality constraint involving x1 and x2The given problem is a linear programming problem in its primal form.

The objective is to maximize the expression z = 7x1 - 5x2 - 2x3, subject to two constraints.. The goal is to find the values of x1, x2, and x3 that maximize the objective function while satisfying the given constraints.

In the primal problem, the objective is to maximize the expression z, which is a linear combination of the decision variables x1, x2, and x3. The coefficients 7, -5, and -2 represent the weights assigned to each variable in the objective function. The constraints represent the relationships and limitations imposed on the variables. The first constraint is an equality constraint, which means that the left-hand side of the equation must equal the right-hand side. The second constraint is an inequality constraint, indicating that the value of the expression 2x1 + x2 must be less than or equal to a certain value.

To solve this linear programming problem, various optimization techniques such as the simplex method or interior point methods can be applied. These methods iteratively adjust the values of the decision variables to find the optimal solution that maximizes the objective function while satisfying the given constraints. By solving the primal problem, the values of x1, x2, and x3 can be determined, leading to the maximum value of the objective function z.

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#1

#2

Find nodes

#1

#2

It's a parabola so it's the graph of a quadratic equation.

#1

#2

The values of a, b, c are 152°, 28°, 152° respectively.

Angles around a point describes the sum of angles that can be arranged together so that they form a full turn.

The sum of angles at a point will give 360°.

This means that a + b + c + 28 = 360

c +28 = 180° ( angle on a straight line)

c = 180 -28

c = 152°

c = a( alternate angles are equal)

therefore the value of a = 152°

b = 28( alternate angles are equal)

therefore the value of b is 28

therefore the values of a, b, c are 152°, 28°, 152° respectively

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The paint cans and the spaces serve as examples of equivalent ratios. 5.5 cans of paint will be required to cover 2200 sq. unit.

Two ratios that have the same values are said to be equivalent. The same number can be used to multiply or divide both sums to get an equivalent ratio. The method is the same as determining equivalent fractions. When two or more ratios are reduced to their most basic form, they have the same value. Examples of equivalent ratios are 1:2, 2:4, and 4:8. In their most basic form, all three ratios have the same value, which is 1:2. They are in proportion if two ratios are equal. Equations in algebra are said to be equivalent if their solutions or roots are equal. When the same amount or expression is added to or removed from both sides of an equation, the result is the same.

To paint a 2200 square unit space, 5.5 cans are required.

The given parameter is:

Cans: Area\(=1:400\)

Express as fraction

Cans/Area\(=1/400\)

Multiply both sides by Area

Cans\(=\frac{1}{400}*Area\)

When the area is 2200, we have:

Cans\(=\frac{1}{400}*2200\)

Cans\(=5.5\)

5.5 cans are therefore required to paint a 2200 units square space.

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An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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The dimensions of pool 25.5m width, 76.5m length.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure.

let x=  Width

formula of area of rectangle = Length x Width

Given;

\(\begin{aligned}&(3 x+2)(x+2)=3 x^{2} +208 \\&3x^{2} +8 x+4=3x^{2} +208\end{aligned}\)

We can substrate \(3x^{2}\) and 4 from both sides.

8x = 204

x = 25.5m width, 76.5m length.

(25.5)(76.5) = 1950.75 \(m^{2}\)

(27.5)(78.5) = 2158.75 \(m^{2}\)

The difference is 208\(m^{2}\)

The dimensions of pool 25.5m width, 76.5m length .

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The area represented by g(x) is a triangular region with base 1 and height (7/3) x, where x is the variable along the horizontal axis. The resulting shape will be a right triangle with vertices at (0,0), (1,0), and (0, (7/3) x).

It seems like you are asking to sketch the area represented by the function g(x) given as the integral of x with respect to t from 1 to 2. However, there seems to be a typo in your question. I will assume that you meant g(x) = ∫[1 to x] t^2 dt. Please follow these steps to sketch the area represented by g(x):

1. Draw the function y = t^2 on the coordinate plane (x-axis: t, y-axis: t^2).

To sketch the area represented by g(x) = x t2 dt 1, we first need to evaluate the definite integral. Integrating x t2 with respect to t gives us (1/3) x t3 + C, where C is the constant of integration. Evaluating this expression from t=1 to t=2 gives us (1/3) x (2^3 - 1^3) = (7/3) x.

2. Choose an arbitrary x-value between 1 and 2 (e.g., x = 1.5).
3. Draw a vertical line from the x-axis to the curve of y = t^2 at x = 1.5. This line represents the upper limit of the integral.
4. Draw another horizontal axis from the x-axis to the curve of y = t^2 at x = 1. This line represents the lower limit of the integral.
5. The area enclosed by the curve y = t^2, the x-axis, and the vertical lines at x = 1 and x = 1.5 represents the area for the given value of x.

In conclusion, the area represented by g(x) = ∫[1 to x] t^2 dt can be sketched by plotting the curve y = t^2, choosing a specific x-value between 1 and 2, and then finding the enclosed area between the curve, x-axis, and the vertical lines at x = 1 and x = chosen x-value.

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The required  the probability that accidents occur no more than 2 days in 8 days is 0.144.

Probability is tied in with assessing or computing how likely or 'plausible' something is to occur. The opportunity of an occasion happening can be depicted in words, for instance 'certain', 'unimaginable' or 'logical'. In math, probabilities are constantly composed as portions , decimals or rates with values somewhere in the range of 0 and 1.

We have,

Probability(p) of lost-time accidents occur in a company at a mean rate of 0.5 per day.

Then, the Probability(q) of accident is not occur is 1 - 0.5 = 0.5.

The likelihood that a mishap doesn't happen (q) is then determined utilizing the accompanying supplement rule.

p =0.5 , q = 0.5

Each probability is calculated using:

P = ⁿCₐpᵃqⁿ⁻ᵃ

The probability that accidents occur no more than 2 days in 8 days is

P(x≤2) = P(0) + P(1) + P(2)

P(x≤2) = ⁸C₀p₀p⁰q⁸⁻⁰ + ⁸C₁p¹q⁸⁻¹ + ⁸C₂p²q⁸⁻²

P(x≤2) = (0.5)^8 + 8(0.5)(0.5)^7 + 28(0.5)^2(0.5)^6

P(x≤2) = 37(0.5)^8

P(x≤2) = 37(0.00390625) = 0.144

Hence, the probability that accidents occur no more than 2 days in 8 days is 0.144.

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The constant of proportionality will be 6.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have a equation c = 6m represents how many ice cream cones (c) are sold within a certain number of minutes (m) at a certain ice cream shop

We can use the equation of a straight line to represent direct proportionality as -

y = mx + c

for -

c = 0

y = mx

m = y/x

Where [m] as constant of proportionality.

For -

c = 6m

constant of proportionality will be 6.

Therefore, the constant of proportionality will be 6.

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Answer:

YEs tis i, the simplifier

Step-by-step explanation:

its 6

Answer:

increase by 25%

Step-by-step explanation:

15-12=3

12÷3=4

4=25%

The graph representing the given function g(x) = 45 + 9x is as drawn in the attachment.

We are given the equation of line as;

g(x) = 45 + 9x

Where;

x represents the number of hours studied.

g(x) represents the test score

Thus, to plot this graph, we need to input some x values and find their corresponding g(x) values

At x = -10;

g(x) = 45 + 9(-10)

g(x) = -45

At x = -1;

g(x) = 45 + 9(-1)

g(x) = 35

At x = 0;

g(x) = 45 + 9(0)

g(x) = 45

At x = 1;

g(x) = 45 + 9(1)

g(x) = 54

At x = 2;

g(x) = 45 + 9(2)

g(x) = 63

At x = 3;

g(x) = 45 + 9(3)

g(x) = 72

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The total distance traveled by the particle over the time interval [1, 5] is 12 units.

To find the total distance traveled, we need to consider both the magnitude and direction of the velocity function. Since the velocity function given is in meters per second (m/sec), the total distance traveled will be measured in meters.

To calculate the total distance, we need to consider the intervals where the velocity function changes its sign. In this case, the velocity function is linear and increasing, starting at t = 1 with a velocity of 3 m/sec. From t = 1 to t = 3, the particle moves in the positive direction, covering a distance of (3t - 9) × (t - 1) = 12 units. From t = 3 to t = 5, the particle moves in the negative direction with the same magnitude, covering a distance of (-1) × (3t - 9) × (t - 3) = 12 unit

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Answer:

option d is the correct answer

Step-by-step explanation:

use formula for finding sum of all interior angles of regular polygon i.e. (n-2)×180 where n is no of sides of regular polygon then divide it by no. of sides of regular polygon to find measure of one angle of regular polygon and then subtract it from 180° to find the answer

The solution to the linear programming problem 0.3x₁ + 0.1x₂ ≤ 1.8 using the simplex method shows that the problem has optimal solutions.)

Convert the inequality into an equation by subtracting 1.8 from both sides:
0.3x₁ + 0.1x₂ - 1.8 ≤ 0

Introduce slack variables to convert the inequality into an equation:
0.3x₁ + 0.1x₂ + s₁ = 1.8

Set up the initial simplex tableau:

┌───┬───┬───┬───┬───┐
│   │ x₁ │ x₂ │ s₁ │  1│
├───┼───┼───┼───┼───┤
│  1│ 0.3│ 0.1│  1  │1.8│
└───┴───┴───┴───┴───┘
```

Select the pivot column. Choose the column with the most negative coefficient in the bottom row. In this case, it is the second column (x₂).

Select the pivot row. Divide the numbers in the rightmost column (1.8) by the corresponding numbers in the pivot column (0.1) and choose the smallest positive ratio. In this case, the smallest positive ratio is 1.8/0.1 = 18. So the pivot row is the first row.


The simplex method is an iterative procedure that systematically improves the solution to a linear programming problem. It starts with an initial feasible solution and continues to find a better feasible solution until an optimal solution is obtained. In each iteration, the simplex method selects a pivot column and a pivot row to perform row operations, which transform the current tableau into a new tableau with improved objective function values. The process continues until the objective function values cannot be further improved or the linear programming problem is unbounded.

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The correct answer is

0.3x1+0.1x2≤2.7→0.3x1+0.1x2≤1.8 Work Through The Simplex Method Step By Step. How The Solution Changes (I.E., LP Has Optimal

The required probability of waiting taxi longer than one hour and waiting for one hour is equals to 0.0821 and 0.1725 respectively.

Use the exponential distribution formula,

For an exponentially distributed random variable X with mean μ, the probability density function is given by,

f(x) = (1/μ) × e^(-x/μ)

And the cumulative distribution function is ,

F(x) = P(X ≤x)

      = 1 - e^(-x/μ)

Mean time between taxi arrivals is 24 minutes,

Rate parameter

λ = 1/μ

  = 1/24.

Probability of waiting longer than one hour for a taxi,

Probability that the time between arrivals is greater than 60 minutes. Using the cumulative distribution function,

P(X > 60)

= 1 - P(X ≤ 60)

= 1 - (1 - e^(-60/24))

= e^(-2.5)

≈ 0.0821

Probability of waiting longer than one hour for a taxi is approximately 0.0821.

Already been waiting for one hour,

the time you have to wait for the next taxi to arrive is 10 minutes.

Using the cumulative distribution function,

P(X ≤70 | X > 60)

= P(60 < X ≤ 70) / P(X > 60)

= (1 - e^(-70/24) - (1 - e^(-60/24))) / e^(-60/24)

≈ 0.1725

Therefore, the probability of waiting longer than one hour for a taxi is and that a taxi arrives within the next 10 minutes waiting for one hour is equals to 0.0821 and 0.1725 respectively.

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The above question is incomplete, the complete question is:

The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 24 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose you have already been waiting for one hour for a taxi, what is the probability that one arrives within the next 10 minutes? Round your answers to 4 decimal places.

Considering the given probability distribution, we have that there is a 0.349 = 34.9% probability that the left tire has a pressure of at least 25 psi.

The probability distribution for the air pressure of the tires of the car(X right, Y left) is given as follows:

The pressure in the right tire is found to be 22 psi, hence y = 22 and:

The value of K is found considering that the sum of all probabilities has to be 1, hence:

\(\int_{18}^{28} K(x^2 + 484) dx = 1\)

\(\frac{Kx^3}{3} + 484Kx\lbracket|_{x = 18}^{x = 28} = 1\)

Applying the Fundamental Theorem of Calculus:

7317.33K + 13552K - 8712K - 1944K = 1

10213.33K = 1

K = 1/10213.33

K = 0.000098.

The probability that the left tire has a pressure of at least 25 psi is:

\(P(X \geq 25) = \int_{25}^{28} 0.000098(x^2 + 484) dx\)

\(P(X \geq 25) = 0.000098\int_{25}^{28} (x^2 + 484) dx\)

\(P(X \geq 25) = 0.000098\left(\frac{x^3}{3} + 484x\right)_{x = 25}^{x = 28}\)

\(P(X \geq 25) = 0.000098(7317.33 + 13552 - 5208.33 - 12100)\)

\(P(X \geq 25) = 0.349\)

0.349 = 34.9% probability that the left tire has a pressure of at least 25 psi.

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The value of x in the equation 1/4(4 + x) = 4/3 is x = 4/3.

Multiply both sides of the equation by 4 to eliminate the fraction on the left-hand side:

1/4(4 + x) = 4/3

4 * 1/4(4 + x) = 4 * 4/3

Simplifying:

4 + x = 16/3

Subtract 4 from both sides of the equation:

4 + x - 4 = 16/3 - 4

Simplifying:

x = 16/3 - 12/3

x = 4/3

A fraction is a mathematical concept used to represent a part of a whole or a ratio between two quantities. It is typically written in the form of a numerator (top number) over a denominator (bottom number), separated by a horizontal line. For example, the fraction 1/2 represents one out of two equal parts, or half of a whole. Similarly, the fraction 3/4 represents three out of four equal parts, or three-quarters of a whole.

Fractions are an essential part of mathematics and are used in a wide range of applications, including measurements, cooking, and financial calculations. They can be added, subtracted, multiplied, and divided just like whole numbers, but they require a bit more care in their manipulation due to their unique structure.

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