A rectangular container with a square base, an open top, and a volume of 256 cm3 is to be made. What is the minimum surface area for the container

Answer:9.0117x 10 to the fifth

Step-by-step explanation: it is correct

Answer:

8.835 x 10^4.

Step-by-step explanation:

The first step is to multiply the two numbers:

950 × 9.3 x 10^2 = 8,835 x 10^2

Next, we need to express this answer in scientific notation. To do this, we move the decimal point two places to the left and add "x 10^4" (because there are two decimal places in 8,835):

8.835 x 10^4

Therefore, the product of 950 and 9.3 x 10^2 expressed in scientific notation is 8.835 x 10^4.

Answer:

Step-by-step explanation:

15 rows adding 4 additional seats to each. Once at end add all seats in rows together for the final answer.

1-25

2-29

3-33

4-37

5-41

6-45

7-49

8-53

9-57

10-61

11-65

12-69

13-73

14-77

15-81

Add all togther. 25+29+33+37+41+45+49+53+57+61+65+69+73+77+81=795

So there are 795 seating capacity.

To determine which proposal(s) to select, we need to compare the present worth or net present value (NPV) of each proposal. The NPV represents the difference between the present value of cash inflows and outflows for each proposal.

For independent proposals at MARR = 15.5% per year:

Calculate the NPV for each proposal using the cash inflows and outflows and discounting them to present value using the MARR of 15.5%.

Select the proposal(s) with a positive NPV. Positive NPV indicates that the project's expected cash inflows exceed the initial investment and the MARR.

For mutually exclusive proposals at MARR = 10% per year:

Calculate the NPV for each proposal using the cash inflows and outflows and discounting them to present value using the MARR of 10%.

Select the proposal with the highest positive NPV. The proposal with the highest positive NPV indicates the project that generates the highest expected return or value relative to the MARR.

For mutually exclusive proposals at MARR = 14% per year:

Calculate the NPV for each proposal using the cash inflows and outflows and discounting them to present value using the MARR of 14%.

Select the proposal with the highest positive NPV. The proposal with the highest positive NPV indicates the project that generates the highest expected return or value relative to the MARR.

It's important to note that the specific details of the proposals, including cash inflows, outflows, and timing, are needed to calculate the NPV accurately. Without this information, it is not possible to provide a definitive answer.

Given the quadratic equation

we want to solve for the vertex and its axis of symmetry.

To easily identify these properties of quadratic equation, we must put the equation first into its vertex form. The first step to write it in its vertex form is to move the constant on the right-hand side of the equation

After that, we add the square of b/2 on the equation above. The value of b on the quadratic equation is -16. We have

Simplify the equation above

We write the expression on the left-hand side as perfect square, which is (x-4)^2.

Transfer 4 to left-hand side to write the vertex form of the quadratic equation

The vertex form has the general equation

where (h,k) is the vertex of the parabola.

Based on the vertex form of the quadratic formula, the vertex exists at (4,-4). Also, the axis of symmetry is equal to h, which is in this case, equal to 4.

The representation of a vertex and axis of symmetry in a quadratic plot will be

Answer: Vertex = (4,-4)

Axis of symmetry = 4

Answer:

It's A because for every input it has to have only one output meaning x can not have the same y

Answer:

18

Step-by-step explanation:

You have 25 when you are done, but you made 7, so subtract that from 27.

25-7 equals 18.

The given statement "histogram is bound to follow the normal curve quite closely and the percentage of entries between 40 and 60 must be exactly the same for both lists." are True. As large representative sample follows normal curve and mean and standard deviation is approx 68%. So, the correct answer true is C), D) are true and A), B) are false.

The median and the average of any list are not always close together.

The median is the middle value in a list when the list is sorted in ascending or descending order, while the average (also called the mean) is the sum of all the values divided by the number of values.

For example, consider the following list

1, 2, 3, 4, 100

The median is 3, while the average is (1+2+3+4+100)/5 = 22.

In this case, the median and the average are not close together at all, since the median is much smaller than the average. So, this statement is false.

Half of a list is not always below average.

This statement is only true if the list is sorted in ascending or descending order. In that case, if the list has an odd number of values, then the median (which is the middle value) is equal to the average. If the list has an even number of values, then the median is the average of the two middle values.

However, if the list is not sorted, then it is possible for more than half of the values to be above the average.

For example, consider the following list

1, 1, 1, 1, 100

The average is 20, but only 2 out of the 5 values are below the average. The given satement is False.

With a large, representative sample, the histogram is likely to follow the normal curve quite closely.

This statement is true, according to the Central Limit Theorem. The Central Limit Theorem states that for a large enough sample size, the sampling distribution of the mean will be approximately normal, regardless of the shape of the population distribution.

For example, if we take a large number of random samples of the same size from a non-normal population (such as a uniform distribution), then the histogram of the sample means will eventually approximate a normal distribution.

If two lists of numbers have exactly the same average of 50 and the same SD of 10, then the percentage of entries between 40 and 60 must be exactly the same for both lists.

This statement is true, since the percentage of entries between 40 and 60 can be calculated using the standard normal distribution.

The z-score for 40 is (40-50)/10 = -1, and the z-score for 60 is (60-50)/10 = 1.

Using a standard normal distribution table or a calculator, we can find that the percentage of values between -1 and 1 is approximately 68%. Therefore, if both lists have the same mean and the same standard deviation, then the percentage of values between 40 and 60 must be 68% for both lists.

So, the correct option for true are C), D) and A), B) are false.

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Answer:

y=2(x+2)(x+3)

Step-by-step explanation:

First, we need to factor the right side:

y=2(x^2+5x+6)

Now, we can have an incomplete equation like this:

y=2(x+_)(x+_)

In the blanks, we need to fill out numbers that add to be 5 and multiply to be 6. What are factors of 6? 6 and 1, 2 and 3. Do 6 and 1 add to be 5? No. Do 2 and 3 add to be 5? Yes!

So, our factored form is

y=2(x+2)(x+3)

Answer:

250 adult tickets were sold

Step-by-step explanation:

571-71/2

571-71=500

500/2=250

I hope this helps you,

have a great day!!

Answer:

Yes, it is TRUE

Hope my answer helps you ✌️

Answer:

hey im on here

Step-by-step explanation:

Edmond average then was 174.12 , by using the given percentage.

What do you mean by percentage?

A  ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

It is given that Edmond rushed for an average of 148 yards per game this season.

Let the average of Edmond last year be x

According to question, 148 yards per game is 85% of x

85% of x = 148

85/100 × x = 148

x = 148 ÷ (85/100) = 148 × (100/85) = 14800/85 = 174.12

Thereofore, Edmond average then was 174.12

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If 17.29 square cm is the area 3.8 is the width, the length of the rectangle is approximately 4.55 cm.

To find the length of a rectangle given its area and width, we can use the formula:

Area = Length x Width

In this case, we are given that the area is 17.29 square cm and the width is 3.8 cm.

Substituting these values into the formula, we get:

17.29 = Length x 3.8

To solve for the length, we can divide both sides of the equation by 3.8:

Length = 17.29 / 3.8

Using a calculator, we can simplify this to:

Length ≈ 4.55

So we could express the final answer as "the length of the rectangle is approximately 4.55 cm".

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2 times 1 is 2 so the equation becomes x/2 and x is 10 so 10/2 is same as 10÷2 which is 5

Answer:

40 quarters

Step-by-step explanation:

A reflection only, a rotation and a reflection, a translation and a reflection. Both rotations and reflections are examples of isometries, which are transformations that preserve the distances between points.

Complete question :

Which rigid transformations would map ΔJKL onto ΔPQR? Select the three correct answers.

a reflection only

a rotation only

a rotation and a reflection

a translation and a reflection

a translation only

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Answer:

Step-by-step explanation:

Why?

Because if you multiplied any irrational number by 0 will be equal to 0 and 0 is rational number.

For example, 5.6371...... x 0 = 0

a) X is an unbiased estimator of p. b) The Var(X) is p(1-p)/n. c) The E[X(1-X)] is (n-1)[p(1-p)/n]. d) The value of c is c = 1/(n-1).

(a) To show that X = Y/n is an unbiased estimator of p, we need to show that E[X] = p.

Since Y is a sum of n iid Bern(p) random variables, we have E[Y] = np.

Now, let's find the expected value of X:

E[X] = E[Y/n] = E[Y]/n = np/n = p.

Therefore, X is an unbiased estimator of p.

(b) To find the variance of X, we'll use the fact that Var(aX) = a^2 * Var(X) for any constant a.

Var(X) = Var(Y/n) = Var(Y)/n² = np(1-p)/n² = p(1-p)/n.

(c) To show that E[X(1-X)] = (n-1)[p(1-p)/n], we expand the expression:

E[X(1-X)] = E[X - X²] = E[X] - E[X²].

We already know that E[X] = p from part (a).

Now, let's find E[X²]:

E[X²] = E[(Y/n)²] = E[(Y²)/n²] = Var(Y)/n² + (E[Y]/n)².

Using the formula for the variance of a binomial distribution, Var(Y) = np(1-p), we have:

E[X²] = np(1-p)/n² + (np/n)² = p(1-p)/n + p² = p(1-p)/n + p(1-p) = (1-p)(p + p(1-p))/n = (1-p)(p + p - p²)/n = (1-p)(2p - p²)/n = 2p(1-p)/n - p²(1-p)/n = 2p(1-p)/n - p(1-p)²/n = [2p(1-p) - p(1-p)²]/n = [p(1-p)(2 - (1-p))]/n = [p(1-p)(1+p)]/n = p(1-p)(1+p)/n = p(1-p)/n.

Therefore, E[X(1-X)] = E[X] - E[X²] = p - p(1-p)/n = (n-1)p(1-p)/n = (n-1)[p(1-p)/n].

(d) To find the value of c such that cX(1-X) is an unbiased estimator of p(1-p)/n, we need to have E[cX(1-X)] = p(1-p)/n.

E[cX(1-X)] = cE[X(1-X)] = c[(n-1)[p(1-p)/n]].

For unbiasedness, we want this to be equal to p(1-p)/n:

c[(n-1)[p(1-p)/n]] = p(1-p)/n.

Simplifying, we have:

c(n-1)p(1-p) = p(1-p).

Since this should hold for all values of p, (n-1)c = 1.

Therefore, the value of c is c = 1/(n-1).

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The equation f(x) = 2x - 9 translated 6 units up, then the equation g(x) = 2x-3

The equation is

f(x) = 2x - 9

Then it is translated 6 units up

The translation is the process of moving the shape to left/right of up or down. During the translation process the shape and size of the graph will not change. In translation we are only changing the coordinates of the points of the shape.

Here it is translated 6 units up.

During the upward motion it will be positive

g(x) = f(x) + 6

Substitute the value of f(x)

g(x) = 2x-9 + 6

g(x) = 2x-3

Hence, the equation f(x) = 2x - 9 translated 6 units up, then the equation g(x) = 2x-3

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Following are all of the subparts' solutions using the probability formula:

Red ball (A) P: 5/8

(B) P: 7/8 (NOT Yellow)

(C) P(yellow or white): 3/8

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Probability formula: P(E) = favorable events/Total events

(A) P(red ball):

P(E) = favorable events/Total events

P(E) = 5/8

(B) P(NOT Yellow)

P(E) = favorable events/Total events

P(E) = 7/8

(C) P(white or yellow)

P(E) = favorable events/Total events

P(E) = 3/8

Therefore, the answers to all the subparts using the probability formula are shown:

(A) P(red ball): 5/8

(B) P(NOT Yellow): 7/8

(C) P(white or yellow): 3/8

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Answer:

3

Step-by-step explanation:

Area = 1/4 * √(5(5+2√5)) * a^2

Area ≈387.11

because each bag only covers 150 we need 3 bags

Answer:

area = 387 ft^2

3 bags

Step-by-step explanation:

See the picture below.

The pentagon is made up of 5 congruent triangles. One triangle is shown on the bottom right figure.

The left figure shows half of the triangle. We need to find h, the height of the triangle.

For a regular pentagon, the measure of each interior angle is

(n - 2)180/5 = 108

Half of the angle is 54 deg.

tan A = opp/adj

tan 54 = h/7.5

h = 7.5 * tan 54

h = 10.32 ft

Area of half triangle = bh/2 = 7.5 ft * 10.32 ft/2 = 38.7 ft^2

The pentagon is made up of 5 larger triangles or 10 half triangles.

Area of pentagon = 10 * 38.7 ft^2

Area of pentagon = 387 ft^2

1 bag is good for 150 ft^2.

387 ft^2/150 ft^2 = 2.6

She needs 2.6 bags, so she must buy 3 bags.

Answer: 3 bags

D=9000-95x

1) Gathering the data from the question

Meghan borrowed: $9000

Monthly Payments: $ 95

2) Let's model this equation:

Since there's no interest rate, and calling D the debt, Meghan's debt can be calculated by:

D=9000-95x

x, is the number of months.

D is the Total Debt.

3) On the First Month:

D= 9000-95(1)

D=9000-95

D=8905

And so on...

3) The Graph of this function:

This is a linear function.

Answer:

2700

Step-by-step explanation:

(^-^)

Answer:

Exact Form:

2.7 ⋅ (10³)

Decimal Form:

2700

Answer:

Step-by-step explanation:

a). Since starting point of the line is (0, 50),

    Therefore, I started with the saving of $50.

b). Since endpoint of the segment is (5, 175),

    Money with me after 5 weeks will be $175.

c). Let the equation of the line given in the graph is,

    y - y' = m(x - x')

    Where (x', y') is a point lying on the graph.

    And 'm' is the slope of the line.

    Slope of the line = \(\frac{175-50}{5-0}\)

                             m = \(\frac{125}{5}\)

                             m = 25

     Since, the line passes through (0, 50),

     y - 50 = 25(x - 0)

     y = 25x + 50

     y = 25x + 50

     For x = 6,

     y = 25×6 + 50 = 200

     For x = 7,

     y = 25×7 + 50 = 225

     For x = 8,

     y = 25×8 + 50 =250

d). For x = 10 weeks,

    y = 25×10 + 50 = $300

e). For x = 15 weeks

     y = 25×15 + 50 = $425

f). For x = 50 weeks,

     y = 25×50 + 50 = $1300

g). Equation of the line is,

     y = 25x + 50

Answer:2x+ 24

Step-by-step explanation:

6x-4x=2x+ 24

Answer:

✨hello mark as branlist pls x=3

Step-by-step explanation:

6x+24−4x=30

6x+24−4x=30

6x+24+−4x=30

(6x+−4x)+(24)=30

2x+24=30

2x+24=30

2x+24−24=30−242x=6

2x

2

=

6

2

x=3

The volume of a right circular cone that has a height of 3.5 ft and a radius of 18.9 ft is given as follows:

1308.6 ft³.

The volume of a cone of radius r and height h is given by the equation presented as follows, which the square of the radius is multiplied by π and the height, and then divided by 3.

V = πr²h/3.

The parameters for the cone in this problem are given as follows:

Hence the volume of the cone is given as follows:

V = 3.14 x 18.9² x 3.5/3

V = 1308.6 ft³.

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Answer:

208.08

Step-by-step explanation:

math

Answer:

204

Step-by-step explanation:

2% of 200 is 2 so after second year it will be 200,+2+2 that is 204

Answer:

168

Step-by-step explanation:

you get 3.5% of 800 and then multiply it by 6.