Which of the following is the best example of a defined benefits plan?

O a set amount an employee will receive at retirement
O the wages and benefits an employee receives at a job
O the amount of pay an employee receives each hour
O the money the an employer puts into a retirement fund for each employee

The question in lines 18-20 (Why else . . . first place) chiefly serves to suggest the value perceived in a person who might be selected for cloning.

Who discovered cloning?

J. B. S. Haldane was the first to introduce the idea of human cloning, for which he used the terms "clone" and "cloning", which had been used in agriculture since the early 20th century.

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Answer and Step-by-step explanation:

We want to find the measure of angle ABD (∠ABD).

We can tell by looking at this triangle that the array BD creates complementary angles (two angles who's sum equals 90°). ∠CBD is given to us, and we want to find ∠ABD. By knowing that these two angles will add up to 90°, we can create a formula to solve for ∠ABD.

90° = ∠ABD + ∠CBD

Plug in the angle for ∠CBD.

90° = ∠ABD + 45°.

Subtract 45° from both sides of the equation.

90° - 45° = ∠ABD + 45° - 45°

45° = ∠ABD

So, angle ∠ABD is 45°.

Have a great day!

Answer:

∠ABD = 45°

Step-by-step explanation:

∠ABC = 90° (right angle)

∴ ∠ABD = ∠ABC - ∠CBD

             = 90° - 45°

             = 45°

Answer:

\(x = \sqrt{3} \: meters\)

Step-by-step explanation:

Please see the attached pictures for the full solution.

The question could be solve using 2 methods:

1) Looking at the angle 30°

2) Looking at the angle 60°

Answer: y= x + 4

Step-by-step explanation:

The Lagrange multipliers fail to solve the problem because  g = 0 at the coordinates (x, y) = (0, 1) where f reaches its minimum on g = 0,

The Italian mathematician Joseph-Louis Lagrange is honoured by having his multiplier method named after him. In order to apply the derivative test of an unconstrained problem to a constrained problem, it is necessary to convert it into a different form.

Moreover, this technique is frequently employed in mathematical optimization. When a function of the form f(x, y, and z) is subject to equality constraints of the form g(x, y, and z) = k or g(x, y, and z) = 0, one useful technique is the method of Lagrange's multipliers. This means that it depends on the values of the desired variable exactly satisfying the terms of one or more equations.

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Answer:

F(t) = 1.8 - 0.04t

Step-by-step explanation:

Given that :

Length of trail = 1.8m

Walking speed = 0.04 miles per minute

Distance left, t minutes after one statues walking :

Total distance covered after t minutes = speed * time = 0.04t

Distance left after t minutes :

Initial distance - distance covered

Hence,

F(t) = 1.8 - 0.04t

The measure of the angle ∠Z will be 88°.

Geometry is the study of two-dimensional and three-dimensional figures such as quadrilaterals, triangles, circles, their sides, and angles. Symmetry is defined as if the object is cut by its centre line the two cut parts should be the mirror image of each other so that we can call them symmetric to each other.

Given that the two angles are (9p + 20)° and (7p + 32 )°. The value of angle z is calculated as,

9p + 20 + 7p + 32 = 180

16p = 180 - 20 - 32

16p = 128

p = 8

The measure of the angle ∠Z will be,

9p + 20 + ∠Z= 180

72 + 20 + ∠Z= 180

∠Z = 180 - 72 - 20

∠Z = 88°

Therefore, the angle ∠Z is 88°.

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Given the normal distribution with mean

μ=89

and standard deviation

σ=5.

Probability P(X<82) has to be found.

We need to calculate the Z score first, and then look for the probability from the Z table.

Using formula:

Z = (X - μ) / σZ = (82 - 89) / 5= -1.40

Now we look at the Z table and find the probability corresponding to

Z = -1.40

Probability from Z table is 0.0808

P(X<82) = 0.0808

Answer:

P(X<82) = 0.0808.

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There is an error in Step 1. The correct answer should be: a) Step 1, replace "angle bisector" with "perpendicular bisector"

An inscribed figure is, in essence, one shape drawn inside of another. A form drawn outside another shape is referred to as a circumscribed figure. All of a polygon's corners, or vertices, need to touch the circle in order for it to be enclosed inside of it.

The appropriate procedures for drawing a circle around a triangle are as follows:

Step 1: Create the perpendicular bisector of one triangle side .

Step 2: Create the perpendicular bisector of a different triangle side .

Step 3: Mark the place where the bisectors cross a point that represents the centre of the circle.

Step 4: Center the compass and adjust its length to reach any triangle vertex before drawing your circle's circumference.

Hence, option a is correct answer.

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Answer:

1 yard is $3.75

Step-by-step explanation:

4.4 to get 1 divide by 4.4

so divide 16.50 by 4.4 to get $3.75

Answer:

1 yard is $3.75

Step-by-step explanation:

$16.50 ÷ 4.4 yards = $3.75

I hope this helps you and your assignment!

(REMEMBER: Final label is ft.)

Hallway = (1/2 in. (width) x (2 in. (length) + 3 in. (length)) x 6 ft. (actual size)

Hallway = (1/2 in. (width) x 5 in. (length)) x 6 ft. (actual size)

Hallway = 5/2 in. (area) x 6 ft. (actual size)

Hallway = 15 ft^2 (final answer)

Kitchen = (3 in. (width) x 3 in. (length)) x 6 ft. (actual size)

Kitchen = 9 in. (area) x 6 ft. (actual size)

Kitchen = 54 ft^2 (final answer)

Tiffany gets 4 minutes of talk time on her cell phone per dollar cost.

If someone gets ' T ' minutes of talk time for the cost $ D so the rate of getting talk time per dollar is given by = T / D.

Given that the Tiffany pays a sum of $ 40 for talking 160 minutes on her cell phone.

So for $ 40 Tiffany gets the talk time of 160 minutes on her cell phone.

For $ 1 Tiffany gets the talk time of = 160 / 40 = 16 / 4 = 4 minutes on her cell phone.

Hence, Tiffany gets 4 minutes of talk time on her cell phone per dollar cost.

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Answer:

-3 < x \(\leq\) 4

Step-by-step explanation:

A closed circle means that you are including that number in the solution and an open circle means that you are not including that number in the solution.  In this situation 4 is a solution, but -3 is not.

Helping in the name of Jesus.

Answer:

tht's just the answer

Step-by-step explanation:

9/7 is equal to 54/42 and 1/6 is equal to 7/42

54/42 - 7/42 is equal to 47/42

Answer:

47/42

Step-by-step explanation:

First, we make both fractions have the same denominator. The LCM of 6 and 7 is 42.

9/7 * 6/6 = 54/42

1/6 * 7/7 = 7/42

54/42 - 7/42 = 47/42

The actual height of the Statue of Liberty in meter is 93 m

It is a constant relationship between different measurable quantities.

Data of the problem:

We calculate the proportion of the model scale:

1/1000 = 9.3/x

We clear the variable, noticing the rules of clearing:

Clearing the variable we have:

1/1000 = 9.3/x

x* (1/1000) = 9.3

x = (9.3*1000) / 1

x = 9300 cm

Converting the centimeter to meters we have:

9300 cm * (1 m /100 cm) = 93 m

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Answer:

£68

Step-by-step explanation:

Width of one tile = 20cm

Calculate how many tiles you need to fit the width of the wall:

width of wall ÷ width of tile = 300 ÷ 20 = 15 tiles wide

Height of one tile = 25cm

Calculate how many tiles you need to fit the height of the wall:

height of wall ÷ height of tile = 250 ÷ 25 = 10 tiles high

Therefore, total tiles needed = 15 x 10 = 150 tiles

If there are 20 tiles in each box,  

total tiles ÷ 20 = 150 ÷ 20 = 7.5 boxes

So we need to round this UP to 8 boxes (else we won't have enough tiles)

Therefore, 8 boxes of tiles at £8.50 per box:

Total cost = 8 x 8.50 = £68

Answer:

yes

Step-by-step explanation:

you can divide the whole ratio by 4 to get the 2nd as a result. Therefore, they are equivalent.

Step-by-step explanation:

Y= 67

X= 67÷34 = 1.97

Y= 1.97×(34)

Answer:

(-1, 5) and (3, -3)

Step-by-step explanation:

The possible solutions for two graphs are the points where the intercepts each other.

If the sample proportion is slightly less than the original 72%, the width of the confidence interval will likely increase. This is because a smaller sample proportion means a smaller sample size, which in turn leads to a wider confidence interval. Additionally, a smaller sample proportion also means a larger margin of error, which further contributes to a wider confidence interval. Overall, the decrease in sample proportion will likely result in a wider and less precise confidence interval.
Hi! I'd be happy to help with your question.

When the sample proportion changes from the original 72%, it will affect the width of the confidence interval. If the new sample proportion is slightly less than 72%, the impact on the confidence interval width can be determined as follows:

1. Calculate the standard error (SE) using the formula SE = sqrt(p(1-p)/n), where p is the sample proportion and n is the sample size. The standard error is used to measure the variability of the sample proportion.

2. Calculate the margin of error (ME) using the formula ME = Z*SE, where Z is the Z-score corresponding to the desired level of confidence (e.g., 1.96 for a 95% confidence interval). The margin of error represents the range within which the true population proportion is likely to fall.

3. Determine the confidence interval width by calculating the difference between the upper and lower limits of the interval: Width = Upper limit - Lower limit = (p + ME) - (p - ME) = 2*ME.

If the new sample proportion is slightly less than the original 72%, it could either increase or decrease the width of the confidence interval depending on the changes in the standard error and margin of error. However, without knowing the exact new proportion and the sample size, we cannot definitively determine the impact on the width of the confidence interval.

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Answer:

u = 11

Step-by-step explanation:

6(u+5)=96

Divide both sides by 6

u+5=16

Subtract 5 from both sides

u=11

The variable, u, is equivalent to 11

Answer:

u=11

Step-by-step explanation:

If you multiply  the parentheses by the outside number (6) it will bring you

6u+30=96 then take away 30 from each side to get

6u=66 last step is to divide by six

u=11

The value of a is 1.2 if the function f(x)= (5x-2)((a/x) +3)  is an odd function

From the question, we have the following parameters that can be used in our computation:

f(x)= (5x-2)((a/x) +3)

The function is an odd function

So, we have

−f(x) = f(−x)

Using the above as a guide, we have the following:

f(-x)= (5(-x) - 2)((a/-x) + 3)

-f(x)= -(5x-2)((a/x) +3)

When equated, we have

(5(-x) - 2)((a/-x) + 3)  = -(5x-2)((a/x) +3)

So, we have

(-5x - 2)(-(a/x) + 3)  = (-5x + 2)((a/x) + 3)

Open the brackets

5a - 15x + 2a/x - 6 = -5a - 15x + 2a/x + 6

Evaluate the like terms

5a - 6 = -5a + 6

So, we have

10a = 12

Divide

a = 1.2

Hence, the value of a is 1.2

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The primal and dual problems have the same optimal value.

What is inequalities?

In mathematics, an inequality is a mathematical statement that indicates that two expressions are not equal.

The primal problem is:

minimize c'x

subject to Ax ≥ b

x ≥ 0

The dual problem is:

maximize b'y

subject to A'y ≤ c

y ≥ 0

To convert the dual problem into an equivalent minimization problem, we can negate the objective function and switch the direction of the inequalities:

minimize -b'y

subject to -A'y ≥ -c

y ≥ 0

The dual problem is identical to the primal when the following conditions are satisfied:

The primal and dual are both feasible (i.e., there exists a feasible solution to both problems).

The objective functions of both problems are bounded.

The optimal values of both problems are equal.

To satisfy these conditions, we need to ensure that:

A is a full-rank matrix.

The rows of A are linearly independent.

There exists a vector x such that Ax = b and x ≥ 0.

The objective function c is a linear combination of the rows of A.

An example of a problem that satisfies these conditions is:

minimize 3x1 + 4x2 + 5x3

subject to x1 + 2x2 + 3x3 ≥ 6

2x1 + x2 + 3x3 ≥ 7

x1 + x2 + 2x3 ≥ 4

x1, x2, x3 ≥ 0

The corresponding dual problem is:

maximize 6y1 + 7y2 + 4y3

subject to y1 + 2y2 + y3 ≤ 3

2y1 + y2 + y3 ≤ 4

3y1 + 3y2 + 2y3 ≤ 5

y1, y2, y3 ≥ 0

We can verify that the conditions for strong duality are satisfied:

Both problems are feasible. For example, x = (0, 0, 2) is feasible for the primal problem, and y = (0, 2, 1) is feasible for the dual problem.

The objective functions of both problems are bounded.

We can find a vector x such that Ax = b and x ≥ 0. For example, x = (0, 0, 2) satisfies Ax = b, where b = (6, 7, 4).

The objective function c is a linear combination of the rows of A. Specifically, c = (3, 4, 5) is a linear combination of the rows of A.

Therefore, the primal and dual problems have the same optimal value.

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Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.

To determine which planks Amanda should use to build the triangular-shaped kennel:

Therefore, Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.

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Answer:

b times 8

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

SA=2*4*3+2*4*2+2*3*2=24+16+12=52

Answer: The answer is 52.

Step-by-step explanation: Plug in the formula listed in red words.

2(4x3)+2(4x2)+2(3x2)

= 2(12)+2(8)+2(6)

= 24+16+12

= 52

Therefore, the surface area of the rectangular prism is 52.

The growth/decay factor is the base of the exponent, which is 0.80 in this case. The factor is less than 1, indicating that the output (y) decreases as the input (x) increases.

what is exponent ?

In mathematics, an exponent (also known as a power or index) is a number that indicates how many times a given number (the base) must be multiplied by itself.

In the given question,

The given exponential model is:

y = 200(0.80)ˣ

where:

y is the output (dependent variable)

x is the input (independent variable)

To determine whether the model represents exponential growth or decay, we need to examine the base of the exponent, which is 0.80 in this case.

If the base is greater than 1, then the model represents exponential growth, and if the base is between 0 and 1, then the model represents exponential decay.

In this case, the base of the exponent is 0.80, which is between 0 and 1. Therefore, the model represents exponential decay.

The growth/decay factor is the base of the exponent, which is 0.80 in this case. The factor is less than 1, indicating that the output (y) decreases as the input (x) increases. The factor represents the rate of decay per unit of the independent variable, which in this case is 0.80.

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