Find the surface area of a cube shaped jewelry gift box with a side length of 7 meters use 6s 2 to help


A.147 square centimeters

B.441 square centimeters

C.686 square centimeters

D.294 square centimeters

1. Minimize w = -2y₁ - 5y₂

2. Maximize w = 2y₁ + 5y₂

3. Minimize w = 5y₁

1. Dual of primal LP:
a) The primal LP is:
Maximize z = -5x₁ + 2x₂
Subject to:
-1x₁ + 1x₂ ≤ -2
2x₁ + 3x₂ ≤ 5
x₁, x₂ ≥ 0

To write the dual LP, we need to change the objective function and constraints. The objective function of the dual LP is to minimize the sum of the products of the dual variables and the primal constraint coefficients.

The constraints of the dual LP correspond to the primal LP's objective coefficients.

The dual LP for the given primal LP is:
Minimize w = -2y₁ - 5y₂
Subject to:
-y₁ + 2y₂ ≥ -5
y₁ + 3y₂ ≥ 2
y₁, y₂ ≥ 0

b) The primal LP is:
Minimize z = 6x₁ + 3x₂
Subject to:
6x₁ - 3x₂ + x₃ ≥ 2
3x₁ + 4x₂ + x₃ ≥ 5
x₁, x₂, x₃ ≥ 0

The dual LP for the given primal LP is:
Maximize w = 2y₁ + 5y₂
Subject to:
6y₁ + 3y₂ ≤ 6
-3y₁ + 4y₂ ≤ 3
y₁ + y₂ ≥ 1
y₁, y₂ ≥ 0

c) The primal LP is:
Maximize z = x₁ + x₂
Subject to:
2x₁ + x₂ = 5
3x₁ - x₂ unrestricted

The dual LP for the given primal LP is:
Minimize w = 5y₁
Subject to:
2y₁ + 3y₂ ≥ 1
y₁ - y₂ unrestricted
y₁, y₂ ≥ 0

These are the dual LPs for the given primal LPs.

The dual LPs are obtained by changing the objective function and constraints of the primal LPs.

The objective function of the dual LP is the opposite of the primal LP's objective function, and the constraints of the dual LP correspond to the primal LP's objective coefficients.

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Answer:

D is the answer

Step-by-step explanation:

because it has high probability of success 70 %

so

Answer:

D

Step-by-step explanation:

Answer: The answer is 120(-3)= -360

Step-by-step explanation:

A. P. E. X.

Answer: A and B (first answer choice)

Explanation:

Start at the origin (0,0) where the x and y axis cross. Then move left 1 and up 5 to arrive at (-1,5). The two lines A and B cross at this location, so (-1,5) is the solution to the system formed by just these two equations alone. We ignore lines C and D.

Answer:

Step-by-step explanation: There are 6 equilateral triangles in a regular hexagon by connecting the opposite vertices of a regular hexagon.

Answer:

XY is not tangent to circle Z

Step-by-step explanation:

if ∠WXY = 90°, then XY is tangent to circle Z

test using Pythagorean theorem:

WX = 2(ZX) = 17

is 20² = 5² + 17²?

400 ≠ 25 + 289, so not tangent

Answer:

I think its A

hope this helps

have a good day :)

Step-by-step explanation:

Total price paid by Michael for the basket of mangoes is $4.48.

For the calculation of total price, price of sales tax will be added with selling price. Forming the equation -

Total price = 4 + 12%×4

Calculating the percentage of sales tax on Right Hand Side of the equation

Total price = 4 + 12×4/100

Solving the percentage part on Right Hand Side of the equation

Total price = 4 + 0.48

Performing addition on Right Hand Side of the equation

Total price = $4.48

Hence, Michael has to pay $4.48 after addition of sales tax for the basket of mangoes.

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In a binomial distribution, the number of ways of arranging all trials to be failures is 1. This means that there is only one way to have all trials result in failures, as each trial can only have one possible outcome - a failure.

1. In a binomial distribution, each trial can result in either a success or a failure. Let's assume that there are n trials in total.

2. To arrange all trials to be failures, we need to ensure that no trial results in a success. Therefore, for each trial, there is only one possible outcome - a failure.

3. The number of ways of arranging all trials to be failures can be calculated using combinations. In this case, we need to select 0 successes from n trials. The number of ways to do this is given by the combination formula: C(n, 0) = 1, where C represents the combination.

Therefore, the number of ways of arranging all trials to be failures in a binomial distribution is given by the combination formula, C(n, k) = n! / (k! * (n-k)!).

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The number of ways of arranging all trials to be failures in a binomial distribution is always 1. This is because there is only one way to have no successes in a set of trials.

Regardless of the number of trials or the probability of success, the number of ways of arranging all trials to be failures in a binomial distribution is always 1.

The number of ways of arranging all trials to be failures in a binomial distribution can be determined using the formula for the binomial coefficient.
The binomial coefficient, often denoted as nCk or n choose k, represents the number of ways to choose k items from a set of n items, without considering their order. In the context of a binomial distribution, n represents the total number of trials and k represents the number of successes (in this case, 0).
To find the number of ways of arranging all trials to be failures, we can use the binomial coefficient formula:
nCk = n! / (k!(n-k)!)
In this case, since we want all trials to be failures, k is equal to 0. Thus, the formula simplifies to:
nC0 = n! / (0!(n-0)!) = n! / (0! * n!) = 1

For example, if we have 5 trials and we want all of them to be failures, there is only one possible arrangement: FFFFF, where F represents a failure.

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Answer:

Option A

Step-by-step explanation:

Lets convert each sentence into algebric inequality.

\( = > 12x + 3\)

\( = > 12x + 3 < 25\)

Answer:

There are 4 possible scenarios where given relation could not be a function:

i)  \((-1, 4), (0,4), (2,5), (3,-6), (-1, 7)\)

ii) \((-1, 4), (0,4), (2,5), (3,-6), (0, 7)\)

iii) \((-1, 4), (0,4), (2,5), (3,-6), (2, 7)\)

iv) \((-1, 4), (0,4), (2,5), (3,-6), (3, 7)\)

Step-by-step explanation:

From Function Theory, we remember that a relation is not a function when at least one element from domain (x-coordinate) is related to one or more elements from range (y-coordinate). Hence, there are four possibilities of making the relation not a function:

i)  \((-1, 4), (0,4), (2,5), (3,-6), (-1, 7)\)

ii) \((-1, 4), (0,4), (2,5), (3,-6), (0, 7)\)

iii) \((-1, 4), (0,4), (2,5), (3,-6), (2, 7)\)

iv) \((-1, 4), (0,4), (2,5), (3,-6), (3, 7)\)

The m ∠SPR of the rhombus with sides PQRS is 65, option C.

Only the opposite angles of a rhombus are equal. A rhombus's diagonal angle is 90 degrees.

There are two ways to find the angle SPR of the rhombus, PQRS;

If ∠PQR = 50°  then, ∠PQR = ∠PSR (opposite sides)

∠OSR = 1/2 x 50° = 25° where SQ bisects ∠PSR

∠ORS + ∠ROS + ∠OSR = 180°

∠ORS + 25° + 90°  = 180°

∠ORS = 180° - 115°

∠ORS = 65°

Also, it can be calculated thus:

Because rhombus adjacent sides are supplementary, it can be written as; ∠QRS + ∠PQR = 180°

∠QRS = 180° - ∠PQR

∠QRS = 180° - 50°

∠QRS = 130°

Even though a rhombus' diagonal is an angular bisector, the ∠PRS is half of the ∠QRS.

Therefore ∠SPR = ∠QRS/2

∠SPR = 130°/2

∠SPR = 65°

The value of ∠SPR is half the angle because the opposite angles are equal therefore each side has 65°.

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Answer:

2. t=1.5(d)

Step-by-step explanation:

Part A- t=1.5(d)

Part B- 10.5

Answer:

I don't know, but thanks for the freee points and stuff

The length of the radius AB is 6 units.

The angle ∠BAC is 90 degrees. The length of arc BC is 3π. The length of  

radius AB can be found as follows:

Hence,

length of arc = ∅ / 360 × 2πr

where

Therefore,

length of arc = 90 / 360 × 2πr

3π = 1 / 4 × 2πr

cross multiply

12π = 2πr

divide both sides by 2π

r = 6 units

Therefore,

radius AB = 6 units

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The graph of the equation is a hyperbola, (-1, 1).

We have,

To identify the graph of the equation x² - 2x - 2 - 36 = 0 and find the point (h,k), we need to rearrange the equation into a standard form and analyze the coefficients.

x² - 2x - 38 = 0

By comparing this equation to the general form of an ellipse and a hyperbola, we can determine the correct graph.

The equation for an ellipse in standard form is:

((x - h)² / a²) + ((y - k)² / b²) = 1

The equation for a hyperbola in standard form is:

((x - h)² / a²) - ((y - k)² / b²) = 1

Comparing the given equation to the standard forms, we see that it matches the equation of a hyperbola.

Therefore,

The graph of the equation is a hyperbola, (-1, 1).

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The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

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The maximum number of minutes that Karen can rent a paddle boat if she has $20 is 40 minutes.

The given charges for renting a paddle boat at Pirates Cove water park is $0.20 per minute plus a rental fee of $12. The maximum number of minutes that Karen can rent a paddle boat if she has $20 is 40 minutes.

Steps to find the maximum number of minutes that Karen can rent a paddle boat

Step 1: Set up an equation

Let the number of minutes that Karen can rent a paddle boat be x. Maximum amount Karen can spend is $20

Equation: $0.20x + $12 ≤ $20

Step 2: Solve for x$0.20x + $12 ≤ $20Subtract $12 from both sides $0.20x ≤ $8

Divide both sides by $0.20x ≤ $40

Thus, the maximum number of minutes that Karen can rent a paddle boat if she has $20 is 40 minutes.

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Answer:

-3 +8a

Step-by-step explanation:

(3-8a) *(-1)

Distribute

3*-1  -8a*-1

-3 +8a

Answer:

10. 700,000L greater than 70 kL

11. 6 gal less than 30 qt

12. 54 kL equals 540,000 dL

13. 10pt equal 5pt

14. 500mL less than 50L

15. 14c less than 4qt

Step-by-step explanation: Conversionssssss :)

Answer:

C. is the correct answer.

Step-by-step explanation:

l = -0.275t + 81

or, 70 = -0.275×40+81

or, 70 = -11+81

so, 70 = 70 (which is true)

The function f(theta) is:

f(theta) = sin(theta) + cos(theta) + 3

To find the function f, we will integrate the given second derivative with respect to theta twice, and use the initial conditions to determine the constants of integration.

First, integrating f ''(theta) = sin(theta) + cos(theta) with respect to theta gives:

f '(theta) = -cos(theta) + sin(theta) + C1

where C1 is a constant of integration.

Next, integrating f '(theta) = -cos(theta) + sin(theta) + C1 with respect to theta gives:

f(theta) = sin(theta) + cos(theta) + C1*theta + C2

where C2 is another constant of integration.

To determine the values of C1 and C2, we use the initial conditions:

f(0) = 4 gives us:

4 = sin(0) + cos(0) + C1*0 + C2

4 = 1 + C2

so C2 = 3.

f '(0) = 1 gives us:

1 = -cos(0) + sin(0) + C1

1 = 1 + C1

so C1 = 0.

Therefore, the function f(theta) is:

f(theta) = sin(theta) + cos(theta) + 3

Note that there are other ways to express this function, such as using trigonometric identities to simplify the expression, but this is the most general form.

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The partition of set S containing the three events is { {HH}, {HT}, {TH}, {TT} }.

When tossing two coins, we have the following events:

A1 = "obtain heads on the first coin"
A2 = "obtain tails on the second coin"
A3 = "obtain heads and tails"

These events are not 3-independent. To find the partition of the set S containing these three events, let's first list all possible outcomes when tossing two coins:

1. Heads on the first coin, Heads on the second coin (HH)
2. Heads on the first coin, Tails on the second coin (HT)
3. Tails on the first coin, Heads on the second coin (TH)
4. Tails on the first coin, Tails on the second coin (TT)

Now, let's identify the outcomes that correspond to each event:

A1: {HT, HH}
A2: {TH, TT}
A3: {HT}

The partition of the set S is as follows:

S = {A1 ∩ A2, A1 ∩ A3, A2 ∩ A3, A1 ∩ A2 ∩ A3}
S = { {HH}, {HT}, {TH}, {TT} }

So, the partition of the set S containing the three events is { {HH}, {HT}, {TH}, {TT} }.

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Answer:

im really not sure and its probs wrong but (3,2)??

Step-by-step explanation:

Answer:

J(3,2)

Step-by-step explanation:

The probability that x is less than 5 = 0.45

Discrete probability distribution:

It is a type of probability distribution that displays all the possible values of a discrete random variable accompanying the affiliated probabilities. We can also say that a discrete probability distribution provides the chance of occurrence of every possible value of a discrete random variable.

Discrete probability distribution:

x          = -10      0       10        20

P(X=x) = 0.35  0.10   0.15     0.40

The probability that x is less than 5:

P(X<5) = 1 - P (X = 10) - P(X= 20)

1 - 0.15 - 0.40 = 0.45

The probability that x is less than 5 is = 0.45

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To solve for v, isolate the variable by dividing each side by factors that don't contain the variable.

Solve for v.

Hope this helps!

It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

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Answer:

The ball will take approximately 2.165 seconds.

Step-by-step explanation:

The height of the ball is represented by the function \(h(t) = -16\cdot t^{2}+75\), the time taken by the ball to hit the ground is a value of \(t\) such that \(h(t) = 0\), we proceed to solve the following equation for \(t\):

\(-16\cdot t^{2}+75 = 0\) (1)

\(16\cdot t^{2} = 75\)

\(t = \sqrt{\frac{75}{16} }\)

\(t \approx 2.165\,s\)

The ball will take approximately 2.165 seconds.