United Parcel Service has contracted you to design a closed box with a square base that has a volume of 10,000 cubic inches. Initially, they would like to know the dimensions of such a box with minimum surface area. They are considering creating the box with a reinforced bottom. The box would be made from a cardboard material costing 1 cent per square inch to build the walls and top, however the bottom would be constructed with stronger material, costing 2 cents per square inch to build. How do the dimensions of the box having the minimum surface area compare to the dimensions of the reinforced box which costs the least?
Provide:
A short discussion on your plan for solving the problem.
A step by step solution of the problem.

In a triangle, The value of x is, 40°

And, The value of y is, 50°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The triangle is show in figure.

We know that;

In a triangle, the pair of two opposite sides are equal then there corresponding angles are also equal.

Now, By figure we can formulate;

⇒ x + x + 100 = 180

Solve for x;

⇒ 2x + 100 = 180

⇒ 2x = 180 - 100

⇒ 2x = 80

⇒ x = 40

Thus, The value of x = 40°

And, We get;

⇒ x° + y° + 90° = 180°

⇒ 40 + y + 90 = 180

⇒ y + 130 = 180

⇒ y = 180 - 130

⇒ y = 50°

Thus, The value of y = 50°

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Answer:

\(\frac{41}{28}\)  

I hope this helps!

The mean score of 90, and percentile of Bob's score of 80, gives Bob's exam score as approximately 92.5%

The Z-Score of the 80th percentile is 0.8416

The formula for Z-Score is presented as follows;

\(z = \frac{x - \mu}{ \sigma} \)

Where;

\( \sigma = The \: standard \: deviation\)

\( \mu = The \: mean = 90\%\)

x = The given score

Taking the mean as a proportion, we have;

\( \sigma = \sqrt{\frac{\mu \cdot (1-\mu)}{n}}\)

Which gives;

\( \sigma = \sqrt{\frac{0.9 \times (1-0.9)}{100}}= 0.03\)

Therefore, when z = 0.8416, gives;

\(0.8416 = \frac{x - 0.9}{ 0.03} \)

x = 0.8416 × 0.03 + 0.9 ≈ 0.925

Therefore;

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Answer:

Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two.Dilations involve multiplication. Dilation with scale factor 2, multiply by 2.

The temperature in the Algebra Crater after 6 hours will be 18°F

The temperature in the Algebra Crater on the planet Math is = -30°F

It is given that the temperature rises by 8 degrees every hour, therefore

we have to find the temperature after 6 hour.

The rise in temperature after 6 hour will be = 6*8°F

                                                                         = 48°F

That is there will be 48°F rise in temperature after 6 hour.

Thus the temperature after 6 hours in the algebra Craters will be

                                                                        = -30°F + 48°F

                                                                        = 18°F    

Hence the temperature in the Algebra Crater after 6 hours will be 18°F

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At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

The speed of an object is the ratio of distance and time it takes for the object to travel that distance.

Mathematically,

S = D/T

where

S is velocity

D is the distance traveled or distance traveled

T is the time it takes to travel that distance

Velocity is considered a scalar quantity. A scalar size only has a size. It does not provide information about the direction of object movement.

If an object moves at a constant speed, it means that the object moves the same distance in the same time interval.

Acceleration of an object is the ratio of velocity and time. vector size. Vector quantities have both magnitude and direction.

Mathematics,

a = v/t

When an object is in motion, its acceleration is never zero.

When an object moves, it moves a constant distance over time. Therefore, body positions cannot be the same from the same coordinate system.

Given in the question:

First the plane was travelling at a constant rate of 250  miles per hour.

Initial height was 20000 feet

Now,

As the speed increases and travels at a constant rate of 400 miles per hour.

Now,

   (400 /250 ) × 20000

=  1.6 × 20000

= 32000 feet

Thus, At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

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The coefficient of XYZ in the product of 2xy 3zx and Y 2z is 0.

The formula for coefficient is C = a*b, where a and b are the coefficients of the terms being multiplied.

In the given example, the coefficients for the terms being multiplied are 2 for 2xy, 3 for 3zx, and 0 for Y 2z. Since 0 multiplied by any number is 0, the coefficient of XYZ in the product is 0.

Mathematically, this can be expressed as:

C = 2*3*0 = 0

Therefore, the coefficient of XYZ in the product of 2xy 3zx and Y 2z is 0.

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The coordinates of point D 0.25 x-axis for the points A(2, 6), B(0, 0), C(-5, 8), and D(-2, 10) are (-2, -2.5) when point D is reflected across the x-axis. This is obtained by negating the y-coordinate of point D and keeping the x-coordinate the same.

To find the coordinates of point D 0.25 x-axis, we need to reflect point D across the x-axis. This will result in the y-coordinate of point D being negated while the x-coordinate remains the same.

The coordinates of point D are (-2, 10), so when we reflect it across the x-axis, we get the new coordinates:

D 0.25 x-axis = (-2, -10/4) = (-2, -2.5)

Therefore, the coordinates of point D0.25∘rx-axis for the given points A, B, C, and D are (-2, -2.5).

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The surface area of a sphere with radius r is 12.56r² and the volume is 4.19r³.

Given the radius of a sphere as r. We are required to find the surface area and volume of a sphere. Surface area of the sphere: The formula for the surface area of the sphere is 4πr².π = 3.14. Putting the value of π, we get:

Surface area of the sphere

= 4πr²

= 4×3.14×r²

= 12.56r²

Volume of the sphere: The formula for the volume of the sphere is given as $\frac{4}{3}$πr³

Putting the value of π, we get,

Volume of the sphere = $\frac{4}{3}$πr³= $\frac{4}{3}$ × 3.14 × r³= 4.19r³

Thus, the surface area of a sphere with radius r is 12.56r² and the volume is 4.19r³.

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Answer:

900

Step-by-step explanation:

10 x 90 = 900

Answer:

900

Step-by-step explanation:

my brain

The solution to the system of equation is x < 44/3

Inequality expressions are expressions not separated by an equal sign. An example of an inequality is a < b

Given the inequality expression below;

x  + 2x + 6 < 50

Simplify to have:

3x + 6 < 50

Subtract 6 from both sides

3x + 6 - 6 < 50 - 6

3x < 50 - 6

3x < 44

Divide both sides by 3

3x/3 < 44/3

x < 44/3

Hence the solution to the system of equation is x < 44/3

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bills refer to invoices or statements issued to request payment for goods or services provided. They typically outline the amount owed, due date, and payment instructions.

Based on the claim that at most 28% of internet users pay bills online, we need to determine if the recent survey supports or contradicts this claim.

The recent survey of 326 internet users indicated that 25% pay their bills online. To determine if this supports the claim, we need to compare the survey result to the claim.

Since the claim states "at most" 28% of internet users pay bills online, it means that 28% is the maximum percentage. Therefore, if the survey result of 25% falls within this range, it supports the claim.

To calculate this, we subtract the survey result (25%) from the maximum claim (28%):

28% - 25% = 3%

Since the difference is 3%, which is a positive value, the survey result of 25% falls within the maximum claim of 28%. Therefore, the recent survey supports the claim that at most 28% of internet users pay bills online.

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The procedure which is deemed to be the type of sample in discuss is; representative sample are free of bias.

Representative sampling and random sampling are two techniques used to help ensure data is free of bias. A representative sample on the other hand is a group or set chosen from a larger statistical population according to specified characteristics. A random sample is a group or set chosen in a random manner from a larger population.

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Step-by-step explanation:

f(a)=1/2-1 and g(a)=2a-2

The pair of functions that gives

f(a) = 5 + a² and g(a) = √(a - 5) - 2 is (g o f) (a) = |a| - 2.

Option C is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the process are 1 and 2.

We have,

f(a) = a² - 4 and g(x) = √a

(g o f) (a)

= g (f(a))

= g (a² - 4)

= √(a² - 4)

f(a) = (1/2)a - 1 and g(a) = 2a - 2

(g o f) (a)

= g (f(a))

= g ((1/2)a - 1)

= 2 x ((1/2)a - 1) - 2

= a - 2 - 2

= a - 4

f(a) = a² - 4 and g(a) = √a

(g o f) (a)

= g (f(a))

= g (a² - 4)

= √(a² - 4)

f(a) = 5 + a² and g(a) = √(a - 5) - 2

(g o f) (a)

= g (f(a))

= g (5 + a²)

= √((5 + a² - 5) - 2

= √a² - 2

= |a| - 2

f(a) = 3 - 3a and g(a) = 4a - 5

(g o f) (a)

= g (f(a))

= g (3 - 3a)

= 4(3 - 3a) - 4

= 12 - 12a - 4

= 8 - 12a

Thus,

The pair of functions that gives

f(a) = 5 + a² and g(a) = √(a - 5) - 2 is (g o f) (a) = |a| - 2.

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Answer:

A = $13,366.37

A = P + I where

P (principal) = $10,000.00

I (interest) = $3,366.37

Step-by-step explanation:

Answer:

$3964

Step-by-step explanation:

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

So 3964(1+.055)^4

Comes out to 3964.238882. Then round

Hope this helps

Brainliest would be appreciated

The current through the inductor to reach one-half of its maximum value after closing the switch is approximately 12.5 microseconds.

To determine the time it takes for the current through the inductor to reach one-half of its maximum value, we can use the time constant formula for an RL circuit:

t = (1/2)(L/R)

Given:

Plugging in the values, we have:

t = (1/2)(0.00125 H) / (50.0 Ω)

Simplifying the equation, we find:

t = 0.0000125 s or 12.5 μs

Therefore, the current through the inductor will reach one-half of its maximum value approximately 12.5 microseconds after closing the switch.

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False. The statement is not necessarily true. While it is possible to have word embeddings that are 10000 dimensional for a vocabulary of 10000 words.

It is not a requirement to capture the full range of variation and meaning in those words. The dimensionality of word embeddings is not solely determined by the size of the vocabulary, but rather by various factors such as the complexity of the underlying semantic relationships and the specific modeling techniques used.

In practice, word embeddings are often created using techniques like Word2Vec or GloVe, which typically produce lower-dimensional embeddings (e.g., 100 to 300 dimensions). These lower-dimensional embeddings have been shown to effectively capture important semantic relationships and patterns in language, while also reducing the computational complexity and memory requirements. The choice of dimensionality depends on the specific application and the trade-off between capturing sufficient information and computational efficiency.

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Answer:

no

Step-by-step explanation:

A proportional relationship is of the form

y = kx

This is equation is of the form

y = kx+b

They are not the same so it is not a proportional relationship

To divide fast we need to practice the Long division method more and more

What are long division method and its steps?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left. Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

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Richard's net pay for the week, considering Social Security, Medicare, and FIT deductions, can be calculated by subtracting the total deductions from his gross earnings.

First, let's determine the amount deducted for Social Security. The Social Security rate is 6.2%, and the maximum earnings subject to this deduction are $118,500. Since Richard is $1,000 below the maximum level, the amount subject to Social Security deduction is $1,000. Therefore, the Social Security deduction is 6.2% of $1,000.

Next, we calculate the Medicare deduction. The Medicare rate is 1.45%, and it is applied to the entire earnings of $1,700.

To calculate the FIT deduction, we need additional information about Richard's taxable income, tax brackets, and exemptions. Without this information, we cannot provide an accurate calculation for the FIT deduction.

Finally, we subtract the total deductions (Social Security, Medicare, and FIT) from Richard's gross earnings of $1,700 to obtain his net pay for the week.

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The worth of the 100 dollar worth if groceries in 3 years is

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential a base is the transcendental number e, which is approximately equal to 2.71828.

Using the formula:

P(t) = P(o) e ^kt

k =7/100 = 0.07

t = 3years

P(o) = $100

P(t) = 100 e^0.07×3

P(t) = 100e^0.21

P(t) =100×1.23

P(t) = $123

therefore the worth of the $100 groceries in 3 years is $123

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Answer:

71

Step-by-step explanation:

(2x² = 2 × 5² = 2 × 25) + ([4x = 4 × 5 = 20] + 1)

(50) + (21) = 71

Answer:

A is 8 ounces/ 12 cupcakes   is 12 cupcakes/8 ounces I'm not sure about C and D is 18 cupcakes for 12 ounces of frosting

Step-by-step explanation:

We want to find the volume of the sphere with a diameter of 32 mm.

The formule for obtaining the volume of a sphere is;

Where r is the radius, the radius is half of the diameter, so ;

We can now calculate the volume as;

The two groups are given one is those who are studied and other is those who are not studied.

Studied - 88,100,94,79,92,100,95,83,89,99,100,91,89,95,100,93,96,84.

Arrange in order.

79, 83, 84, 88, 89, 89, 91, 92, 93, 94, 95, 95, 96, 99, 100, 100, 100, 100

The mean of this group is

The mean is 92.6.

The median of this group is

Use the median formula for even

Substitute the value of n =18

The median is 93.5.

The mode of this group is 100 as it is appears 3 times .

The another group is not studied group.

Not studied - 82,72,45,91,58,83,65,87,90,77,73,89.

Arrange in order-

45, 58, 65, 72, 73, 77, 82, 83, 87, 89, 90, 91

The mean is determined as

The median is determined as

Substitute n=12.

There is no mode.

So, from the all the data given.

The mean of the group that studied is over 15 percent points higher than the mean of the group that did not studied.

The median of the group that did not studied is less than 80.

In general , those students that studied scored much higher than those students that did not study.

The correct options are a , c and e.

Each box weighs 11.5 pounds. The answer is option B.

Pound is a unit of measurement of mass or weight commonly used in the United States and some other countries, abbreviated as "lb".

To solve the problem, we need to use some basic algebraic equations. Let x be the weight of each box in pounds. Then, we can set up the following equation:

5x + 7.5 = 65

Simplifying this equation, we get:

5x = 57.5

Dividing both sides by 5, we get:

x = 11.5

Therefore, each box weighs 11.5 pounds. The answer is option B.

Pound is a unit of measurement of mass or weight commonly used in the United States and some other countries, abbreviated as "lb". One pound is equal to 16 ounces, and approximately 0.45 kilograms. It is commonly used to measure the weight of objects, such as people, animals, and goods.

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The standard deviation of the total sales per day for the shoe store is approximately $1743.28.

To find the standard deviation of the total sales per day for the shoe store, we need to first find the mean and variance of the total sales.

The number of customers visiting the store follows a Poisson distribution with a rate of 70 per day. Let X be the number of customers per day, then X ~ Poisson(70).

The proportion of customers that make a purchase is 45%. Let Y be the number of customers that make a purchase, then Y ~ Binomial(X, 0.45).

The amount spent by a paying customer follows an exponential distribution with a mean of $120. Let Z be the amount spent by a paying customer, then Z ~ Exp(1/120).

Now, let's find the mean and variance of the total sales per day.

E[XY] = E[E[XY|X]] = E[X * 0.45] = 70 * 0.45 = 31.5

E[Z] = 120

E[XYZ] = E[E[XYZ|XY]] = E[XY * 120] = 31.5 * 120 = 3780

Var(XY) = E[Var(XY|X)] + Var(E[XY|X]) = E[X * 0.45 * 0.55] + Var(X * 0.45) = 70 * 0.45 * 0.55 + 70 * 0.45 * 0.55 = 17.325

Var(Z) = 120^2

Var(XYZ) = E[Var(XYZ|XY)] + Var(E[XYZ|XY]) = E[XY * 120^2] + Var(XY * 120) = 31.5 * 120^2 + 17.325 * 120^2 = 3035250

Therefore, the variance of the total sales per day is Var(XYZ) = 3035250.

The standard deviation of the total sales per day is the square root of the variance:

SD(XYZ) = sqrt(3035250) = 1743.28

Therefore, the standard deviation of the total sales per day for the shoe store is approximately $1743.28.

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