Determine the number of bricks, rounded to the nearest whole number, needed to complete the wall

The surface area of the cylinder with height 7cm and radius 4cm is approximately 88π cm²

Surface area is the measure of the total area that the surface of an object occupies. It includes the area of all faces, sides, and curves.

a cylinder is a three-dimensional shape with a circular base and straight parallel sides that connect to a circular top. Its volume can be calculated as the product of the base area and height.

According to the given information :

To find the surface area of a cylinder using a net, we need to "unwrap" the cylinder into a flat shape, which will consist of a rectangle and two circles. The area of the rectangle will be the lateral area of the cylinder, and the area of the two circles will be the top and bottom areas of the cylinder.

The lateral area of the cylinder is given by the formula:

Lateral Area = 2 x π x r x h

where r is the radius of the cylinder, and h is the height of the cylinder.

The top and bottom areas of the cylinder are each given by the formula:

Top/Bottom Area = π x r²

where r is the radius of the cylinder.

Using the given dimensions, we can calculate the surface area of the cylinder as follows:

Lateral Area = 2 x π x 4cm x 7cm = 56π cm²

Top/Bottom Area = π x 4cm² = 16π cm²

Total Surface Area = Lateral Area + 2 x Top/Bottom Area

Total Surface Area = 56π cm² + 2 x 16π cm² = 88π cm²

Therefore, the surface area of the cylinder with height 7cm and radius 4cm is approximately 88π cm²

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The interest practice described in the question is known as "bundling." Bundling refers to the act of combining individual campaign contributions from multiple sources into a single larger contribution from a group or organization.

Bundling allows interest groups or individuals to pool their resources and present a more substantial contribution to a candidate. By consolidating smaller contributions into a larger sum, bundlers can demonstrate greater financial support and influence.

This practice is often employed by special interest groups, lobbyists, or individuals with shared political objectives who want to maximize their influence on the political process. Bundlers can leverage their collective financial power to gain access to candidates, shape policy agendas, and potentially gain favorable treatment or influence over decision-making.

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The question require you to determine the difference between {-2}^2 and -2^2

{-2}^2 = {-2} * {-2} = 4

-2^2 = 4

There is no difference .The answer is 4 in both cases

Answer:

$34.78

Step-by-step explanation:

...............

Answer:

-16

Step-by-step explanation:

you need to distribute the 2 to the (-8) :D

Answer:

-8x + (-16) = 24

Step-by-step explanation:

-8(x + 2) = 24

-8*x and -8*2

-8x + (-16) = 24

Just in case you need to solve:

-8x = 40

x = -5

So the probability, rounded to the nearest thousandth, of getting at least 2 fours in 5 rolls of a fair die is 0.194.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The probability of getting at least 2 fours is the sum of the probabilities of getting exactly 2, 3, 4, or 5 fours:

P(X ≥ 2) = P(X=2) + P(X=3) + P(X=4) + P(X=5)

Using the binomial formula, we can calculate each of these probabilities:

P(X=k) = (n choose k) p^k (1-p)^(n-k)

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from n distinct items.

P(X=2) = (5 choose 2) (1/6)² (5/6)³ = 0.1608

P(X=3) = (5 choose 3) (1/6)³ (5/6)² = 0.0322

P(X=4) = (5 choose 4) (1/6)⁴ (5/6)¹ = 0.0013

P(X=5) = (5 choose 5) (1/6)⁵ (5/6)⁰ = 0.00003

Therefore,

P(X ≥ 2) = 0.1608 + 0.0322 + 0.0013 + 0.00003 = 0.1943

So the probability, rounded to the nearest thousandth, of getting at least 2 fours in 5 rolls of a fair die is 0.194.

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The probability of an event not occurring refers to the probability of all other possible outcomes except for the event in question.

The odds for rolling a 6-sided die and getting a 2 are 1:5 or 1/5. This means that the probability of rolling a 2 is 1/6, and the probability of not rolling a 2 is 5/6. To find the odds against rolling a 6-sided die and getting a 2, we simply invert the odds for rolling a 2, which gives us the odds of rolling any number other than 2. The odds against rolling a 6-sided die and getting a 2 are therefore 5:1 or 5/1. This means that the probability of not rolling a 2 is 5/6, and the probability of rolling a 2 is 1/6. It's important to note that the odds against an event are not the same as the probability of that event not occurring. The odds against an event refer to the ratio of the number of unfavorable outcomes to the number of favorable outcomes, while the probability of an event not occurring refers to the probability of all other possible outcomes except for the event in question.

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Cosine of ∠U is 28/53 in proper fraction, 28/53 in improper fraction, 0.52609 in whole number.

The cosine of an angle in a right triangle can be found using the ratio of the adjacent side to the hypotenuse. In this triangle, the adjacent side to ∠U is 28 and the hypotenuse is 53.

cos(∠U) = adjacent side ÷ hypotenuse = 28 ÷ 53 = 28/53

So, the cosine of ∠U is 28/53, written as a proper fraction.

Now let's convert cosine of ∠U is 28/53 in improper fraction:

The cosine of ∠U, which is 28/53, can be expressed as an improper fraction by dividing both the numerator and denominator by their greatest common factor.

gcd(28, 53) = 1, so the fraction cannot be further simplified.

Therefore, the cosine of ∠U, expressed as an improper fraction, is 28/53.

Now let's convert cosine of ∠U is 28/53 in whole number:

The cosine of ∠U, which is 28/53, can be expressed as a whole number by dividing the numerator by the denominator.

28 ÷ 53 = 0.526087

So, the cosine of ∠U expressed as a whole number is approximately 0.52609

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_____ The given question is not correct, so correct Question is:

Find the cosine of ∠U in Triangle UTV with side:

UV=28

VT=45

TU=53

Simplify your answer and write it as a proper fraction, improper fraction, or whole number.

In the given statement is :

Of the three types of general survivorship curves, which can be most likely expected to live closest to its maximum life expectancy?

In this case, In Type I Curve, organisms tend to live up to maximum life expectancy. They survive their adulthood and die when they become elderly. Humans come under this category.

Survivorship Curve:

The Survivorship Curve is used to represent the number of population that are expected to live to a certain age. There are three types of survival curves they are Type I, Type II, Type III. Each curve will show the life expectancy of a particular group of organisms.

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Answer:

<1 = 120

<2 = 32

Sorry for bad handwriting

Mae's walking speed is 10 miles per hour. This is calculated by considering the given information.

Let's assume Mae's walking speed is represented by the variable "x" (in miles per hour). According to the given information, her jogging speed would then be "x + 12.5" miles per hour.

To calculate Mae's exercise time, we can use the formula: time = distance / speed.

Mae jogs 27 miles at a speed of "x + 12.5" miles per hour, so her jogging time can be calculated as:

jogging time = 27 / (x + 12.5)

Mae walks an additional 3 miles at a speed of "x" miles per hour, so her walking time can be calculated as:

walking time = 3 / x

The total exercise time is given as 3 hours. Therefore, we can set up the equation:

jogging time + walking time = 3

Substituting the calculated values, we get:

27 / (x + 12.5) + 3 / x = 3

To solve this equation, we can start by multiplying all terms by x(x + 12.5) to eliminate the denominators:

27x + 27 * 12.5 + 3(x + 12.5) = 3x(x + 12.5)

Simplifying the equation:

\(27x + 337.5 + 3x + 37.5 = 3x^2 + 37.5x\)

Combining like terms:

\(30x + 375 = 3x^2 + 37.5x\)

Rearranging the terms to set the equation equal to zero:

\(3x^2 + 7.5x - 375 = 0\)

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(\(b^2\) - 4ac)) / (2a)

In this case, a = 3, b = 7.5, and c = -375. Substituting these values into the quadratic formula:

x = (-7.5 ± √(\(7.5^2\) - 4 * 3 * -375)) / (2 * 3)

x = (-7.5 ± √(56.25 + 4500)) / 6

x = (-7.5 ± √(4556.25)) / 6

Calculating the square root:

x = (-7.5 ± 67.5) / 6

Simplifying further:

x = (60 / 6) or x = (-75 / 6)

Since Mae's walking speed cannot be negative, the solution is x = 10.

Therefore, Mae's walking speed is 10 miles per hour.

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The complete question is:

For exercise, Mae jogs 27 miles then walks an additional 3 miles to cool down. If her jogging speed is 12.5 miles per hour faster than her walking speed and her total exercise time is 3 hours, what is her walking speed? The athlete's walking speed is

Answer:

no

Step-by-step explanation:

Answer:

(5√3 + 3√5)(7√5 + 2√3) + (4√3)(2√5)

= 35√15 + 30 + 105 + 6√15 + 8√15

= 49√15 + 135

Answer:

Step-by-step explanation:

The best-supported statement by the information in the table is:

C. The fee at Bank K will always be greater than the fee at Bank F.

This is because for any given average daily balance, Bank K has a higher fee than Bank F. For example, for an average daily balance of less than $500, Bank F charges $8 while Bank K charges $12. Similarly, for an average daily balance between $500 and $750, Bank F charges no fee while Bank K charges $12. Therefore, the fee at Bank K will always be greater than the fee at Bank F.

Answer: 114 marbles

Step-by-step explanation:

From the question, we are told that a bag contains red and black marbles which are 120 marbles in total. We are further told that there are 19 red marbles for every black marble.

Let the number of black marbles be represented by a.

The red marbles will be: = 19 × a = 19a

Based on the information given in the question,

Black marbles + Red marbles = 120

a + 19a = 120

20a = 120

a = 120/20

a = 6

Black marbles = 6

Red marbles = 19a = 19 × 6 = 114 marbles

Answer:

First divide 3 on both sides to get x by itself, now you have x < -2.

Step-by-step explanation:

Hope this helps :)

Answer:

infjfkflflfmdbfufifldndndhfififkfnf

Answer:

this is super easy...

u first rotate it 90° until the BC is downwards.

then rotate it one round until it comes to the way it was..that means once again BC down...hope it is clear...

The length of line segment AB in the triangle using the midsegment theorem is 64.

The Midsegment Theorem states that "the segment joining the midpoints of two sides of a triangle is parallel to and half the length of the third side."

From the diagram:

Midsegment = 3x + 5

Third side = 7x + 1

First, we solve for x, using the midsegment theorem:

( 3x + 5 ) = 1/2 × ( 7x + 1 )

Multiply both sides by 2:

2( 3x + 5 ) = ( 7x + 1 )

6x + 10 = 7x + 1

Collect and add like terms:

7x - 6x = 10 - 1

x = 10 - 1

x = 9

Now, we solve for line AB:

Line AB = 7x + 1

Plug in x = 9

Line AB = 7(9) + 1

Line AB = 63 + 1

Line AB = 64

Therefore, the line segment AB is 64.

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The probability of winning the Illinois Lottery, where 6 balls are randomly chosen from an urn containing numbers 1 to 52, can be calculated by determining the number of favorable outcomes (matching all six numbers) divided by the total number of possible outcomes.

To calculate the probability of winning the lottery, we need to determine the number of favorable outcomes (winning combinations) and the total number of possible outcomes.

The number of favorable outcomes is 1 since there is only one winning combination where all six numbers match those chosen from the urn.

Now let's calculate the total number of possible outcomes.

In the first set of 6 numbers chosen by the player, there are 52 balls to choose from, and the player selects 6 numbers without replacement. This can be calculated using the combination formula:

C(52, 6) = 52! / (6! * (52-6)!)

Similarly, for the second set of 6 numbers chosen by the player, there are also C(52, 6) possible outcomes.

However, since the player has chosen two sets of 6 numbers, we need to consider the total number of outcomes for both sets combined. This can be calculated by multiplying the number of outcomes for each set:

Total number of outcomes = C(52, 6) * C(52, 6)

Now, the probability of winning the lottery is given by:

Probability of winning = Number of favorable outcomes / Total number of possible outcomes

Plugging in the values we obtained, we have:

Probability of winning = 1 / (C(52, 6) * C(52, 6))

Calculating the combination values and simplifying the expression will give us the final probability of winning the lottery.

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The future value of $12,250 after 8 years, with a 4% annual interest rate compounded quarterly, is approximately $16,495.11.

To calculate the future value of $12,250 after 8 years with an annual interest rate of 4% compounded quarterly, we can use the formula for compound interest:

FV = PV * (1 + r/n)^(n*t)

Where:

FV is the future value

PV is the present value (initial amount)

r is the annual interest rate (in decimal form)

n is the number of compounding periods per year

t is the number of years

Given:

PV = $12,250

r = 4% = 0.04 (as a decimal)

n = 4 (compounded quarterly)

t = 8 years

Plugging in these values into the formula, we get:

FV = $12,250 * (1 + 0.04/4)^(4*8)

= $12,250 * (1 + 0.01)^(32)

= $12,250 * (1.01)^(32)

Using a calculator, we can evaluate this expression to find the future value:

FV ≈ $12,250 * 1.349858807576003

FV ≈ $16,495.11

Therefore, the future value of $12,250 after 8 years, with a 4% annual interest rate compounded quarterly, is approximately $16,495.11.

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Answer:

= 868.1ft^3

Step-by-step explanation:

Volume of the square based pyramid = BH/3

B is the base area

H is the height of the pyramid

Base area = Length * Length

Base area = 14.1*14.1

BAse area = 198.81ft^2

Height = 13.1feet

Substitute

Volume = 198.81*13.1/3

Volume of the pyramid = 868.1ft^3

Hence the volume of a pyramid with the square base is 868.1ft^3

Answer: 868.1 ft^3

Step-by-step explanation:

The equation of line B is y = (1/5)x + 0, which can be simplified to y = (1/5)x.

An equation is a statement that shows the equality between two expressions. It typically contains one or more variables and may involve mathematical operations such as addition, subtraction, multiplication, division, exponentiation, or roots. An equation can be solved by finding the value(s) of the variable(s) that make the equation true. Equations are used extensively in mathematics, science, engineering, and other fields to describe relationships between different quantities and to make predictions or solve problems.

Here,

Since line B is perpendicular to line A, the product of their gradients is -1. Therefore, the gradient of line B is 1/5.

a) To find the y-intercept of line B, we need to know a point on the line. Since we don't have one, we can use the fact that the y-intercept is the point where the line intersects the y-axis. To find this point, we can set x = 0 in the equation of line B:

y = (1/5)x + c

0 = (1/5)(0) + c

c = 0

Therefore, the y-intercept of line B is (0,0).

b) The equation of line B is y = (1/5)x + 0, which can be simplified to y = (1/5)x.

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Answer:

The volume of the given rectangular prism is B. 270 cm³.

Step-by-step explanation:

The volume of a rectangular prism is the product of its length, its width, and its height.

The volume of a rectangular prism =  

The length of the prism is 9 cm, the width is 2 cm and the height of the rectangular prism is 15 cm.

Step 2:

The volume of a rectangular prism =  

So the volume of the given rectangular prism is 270 cm³. This is option B.

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Actually Welcome to the concept of maths,

here, A.) is correct because.

2/3(27) - 6 ==> 18 - 6 = 12

hence, LHS = RHS,

so option A is correct

Answer:

m=3

Step-by-step explanation:

Answer:

hola grandma said holla

Using the simplex method, the maximum value of Z=5A+4B is found to be 19.2 when A=3.6 and B=1.2. The calculations can be confirmed by using any software that solves linear programming problems.

To solve the given linear programming problem using the simplex method, we start by converting the problem into standard form. We introduce slack variables to convert the inequalities into equations.The initial tableau is as follows:

      | A | B | S1 | S2 | S3 | S4 |   RHS

------------------------------------------

 Z    | -5 | -4 | 0  | 0  | 0  | 0  |    0

------------------------------------------

 S1   |  6 |  4 | 1  | 0  | 0  | 0  |   24

 S2   |  1 |  2 | 0  | 1  | 0  | 0  |    6

 S3   | -1 |  1 | 0  | 0  | 1  | 0  |    1

 S4   |  0 |  1 | 0  | 0  | 0  | 1  |    2

We perform the simplex iterations until the optimal solution is reached. After applying the simplex method, the final tableau is obtained as follows:

      |  A  |  B  |  S1  |  S2  |  S3  |  S4  |   RHS

------------------------------------------------------

 Z    |  0  | 1.8 | 0.2  | -1   | -0.4 |  0.4 | 19.2

------------------------------------------------------

 S1   |  0  |  0  |  0   | 1.5  | -1   |  1   |  3

 S2   |  1  |  0  | -0.5 |  0.5 |  0.5 | -0.5 | 1.5

 A    |  1  |  0  | 0.5  | -0.5 | -0.5 |  0.5 |  0.5

 S4   |  0  |  0  |  1   | -1   | -1   |  1   |  1

From the final tableau, we can see that the maximum value of Z is 19.2 when A=3.6 and B=1.2. This solution satisfies all the constraints of the problem. The calculations can be verified using any software that solves linear programming problems, which should yield the same optimal solution.

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Answer:

$10 an hour

Step-by-step explanation:

You go to the one hour than go up to where the line is and find out what the number is  

Answer:

Step-by-step explanation:

Ok, so to solve this problem, you need to find the slope of the line. You know this is what you need to find because units for slope is the y-axis units (dollars) divided by the x-axis units (hours), and your answer must be in dollars per hour based on the question. To find your slope, you use the formula (y2-y1)/(x2-x1). Basically, pick any two points on the graph. I will use (2,20) and (4,40). Now, find the change in x (4 - 2, or 2) and the change in y (40 - 20, or 20) and divide the change in y by the change in x (20/2) to get your answer.