Each gallon of paint covers 200 square feet. I have to paint one side of a wall that is 12 meters tall and 80 meters long. If a foot is approximately 0.3048 meters, then what is the smallest whole number of gallons I can buy and have enough paint to cover the whole wall? Plz answer immediately, the answer is not 9 gallons.

Once all layers are solved, the Rubik's cube is done.

The Rubik's cube is a classic puzzle that has been challenging people for decades. It consists of a 3x3x3 cube with each of the six faces covered in smaller colored cubes, or "cubies".

There are many different methods for solving the Rubik's cube, but the most popular method is called the "layer-by-layer" method.

The first step in solving the Rubik's cube is to solve the top layer. This is done by aligning the top layer cubies with the center cubies of the same color. Once the top layer is solved, the next step is to solve the middle layer.

Finally, the last step is to solve the bottom layer. This is done by aligning the bottom layer cubies with the center cubies of the same color.

It's important to memorize some basic algorithms and techniques to be able to solve the cube efficiently, these techniques can vary from simple moves to more complex ones. There are many resources available online to learn these techniques, such as video tutorials and written guides.

Solving the Rubik's cube can be a fun and rewarding challenge, and it can also help to improve your problem-solving skills and spatial reasoning.

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In this problem, we have a continuous exponential growth model

so

the equation is of the form

where

a is the initial value ------> a=2,100

y is the number of bacteria

x ----> number of hours

so

For x=2.5 hours, y=2,249 bacteria

substitute

solve for k

apply ln both sides

k=0.0274

convert to percentage

To calculate the work done to move a charge from one location to another, we can use the equation:

Work = (Change in Potential Energy) = q * (Change in Electric Potential)

where q is the charge and the change in electric potential is the difference in potential between the initial and final positions.

Given that the charge Q₁ = +2.0 μC is fixed at the origin, we need to calculate the change in potential energy for the moving charge Q₂ = +4.0 μC.

(a) Moving from (-3 cm, 4 cm) to (-1.5 cm, 2 cm):

The change in electric potential, ΔV = V(final) - V(initial), can be calculated using the equation for electric potential due to a point charge:

V = k * (Q / r)

where k is the Coulomb's constant (8.99 × 10^9 N·m²/C²), Q is the charge, and r is the distance between the charges.

Initial electric potential, V(initial) = k * (Q₁ / r₁)

Final electric potential, V(final) = k * (Q₁ / r₂)

Change in electric potential, ΔV = V(final) - V(initial)

Next, we can calculate the work done:

Work = q * ΔV

Given that q = Q₂ = +4.0 μC, we can substitute the values into the equation to find the work done.

To calculate the power, we can use the formula:

Power = Work / Time

Given that the time to make the change is 10 ms (0.01 s), we can calculate the power by dividing the work done by the time.

You can repeat this process for parts (b) and (c) by substituting the respective coordinates and following the same calculations.

Please note that the distances should be converted to meters before performing the calculations.

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Answer:

A rational number is a number expressed as a fraction.

Step-by-step explanation:

A rational number is a number expressed as a fraction so that number could be expressed by a decimal or a percentage.

Hope This Helps :)

Using the applet to conduct a simulation is "Option C: Yes because the probability of getting 30% green in a sample of 20 if the true proportion is 20% is only about 1%."

Probability measures how likely an event is to occur. The probability of an event occurring is the proportion of times the event occurs relative to the total number of trials. The probability of an event occurring can be determined from the theoretical probability or experimental probability.

The theoretical probability of an event occurring is determined by dividing the number of favorable outcomes by the total number of outcomes in the sample space.

The experimental probability of an event is determined by conducting several trials and determining the ratio of the number of times an event occurred to the total number of trials.

The given problem states that Skittles candy comes in five colors that are evenly distributed in the population, so each color makes up 20% of the population. A small bag of Skittles always has 20 candies. Therefore, the probability of selecting a green Skittle in a single trial is 20%.

The problem further states that in a particular bag of Skittles, 6 are green, i.e., 6 out of 20 are green Skittles.

Therefore, the probability of getting a green Skittle in this particular bag is 6/20 = 30%, which is greater than the probability of getting a green Skittle in a single trial (20%).

We can use the binomial distribution function to determine whether this is a surprising result or not, we need to simulate the probability of getting 30% green in a sample of 20 candies if the true proportion of green is 20%.  

The binomial distribution function calculates the probability of getting k successes in n trials when the probability of success in a single trial is p.

The binomial probability function is:

P(k successes in n trials) = (ⁿCₓ) * pˣ * (1-p)^(n-x)

where ⁿCₓ = n! / (x! * (n-x)! is the number of ways to choose k successes in n trials.

After using this function, we get the probability of getting 30% green in a sample of 20 candies if the true proportion of green is 20% and is only about 1%.

Therefore, the answer is "Option C: Yes, because the probability of getting 30% green in a sample of 20 if the true proportion is 20% is only about 1%."

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Given half-cup of milk. if we find how many  milliliters are there in this cup we get it approximately equal to 120 milliliters.

In cooking and baking, cup measurements are commonly used. However, it's important to note that cup measurements can vary slightly depending on the country or region. In the United States, a standard cup measurement is equal to 240 milliliters.

A half-cup is exactly half of this measurement, which means it would be approximately equal to 240/2 = 120 milliliters. Therefore, option C, 120, is the closest approximation to the number of milliliters contained in a half-cup of milk. It's worth noting that for more precise measurements, it's always advisable to use a kitchen scale or measuring cup with milliliter markings.

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Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

The probability that the 3rd patient with heart failure that enters the emergency room is the first one due to outside factors is 0.02712.

Probability of natural occurrences = 0.82Probability of outside factors = 0.18To find the probability that the 3rd patient with heart failure that enters the emergency room is the first one due to outside factors, we have to consider two possibilities:

The first two patients are due to natural occurrences, or the first two patients are due to outside factors.If the first two patients are due to natural occurrences, the probability of the third patient being the first due to outside factors is:0.82 x 0.82 x 0.18 = 0.12272

If the first two patients are due to outside factors, the probability of the third patient being the first due to outside factors is:0.18 x 0.82 x 0.82 = 0.12272

Therefore, the total probability of the third patient being the first due to outside factors is the sum of these two probabilities:0.12272 + 0.12272 = 0.24544But, we have counted the case where all three patients have outside factors twice, so we need to subtract that probability once:0.24544 - 0.01836 = 0.22708

Therefore, the probability that the 3rd patient with heart failure that enters the emergency room is the first one due to outside factors is 0.22708 or approximately 0.02712.

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Answer:

8 ounces

Step-by-step explanation:

16oz/lb

16*5= 80oz of cornstarch in bucket

4oz * 18students = 72oz

80-72= 8 oz remaining

The amount of cornstarch left is 8 ounce.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Each student get = 4 ounce of cornstarch

Total number of student = 18 students

And, Total amount of cornstarch = 5 pound

Here,

Since, Amount of total cornstarch to student = Each student get × Total number of student

⇒ Amount of total cornstarch to student = 4 × 18

⇒ Amount of total cornstarch to student = 72 ounce

Since, 1 pound = 16 ounces

So, We get;

⇒ Total amount of cornstarch = 5 × 16

⇒ Total amount of cornstarch = 80 ounces

Thus, Amount of cornstarch left = 80 - 72

⇒ Amount of cornstarch left = 8 ounces

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Thus, the theoretical probability that Kelvin will select a red marble is 5/12.

Probability that is established using logic is known as theoretical probability.

Experimental probability is calculated based on the outcomes of numerous iterations of an experiment.

A probability is a number that falls between (and includes) 0 and 1.

If the likelihood of a situation E is represented by P(E), then:

Given:

Total marbles in  bag = 12

theoretical probability P(E) = favourable outcome / total outcome

P(red marble) = 5/12

Thus, the theoretical probability that Kelvin will select a red marble is 5/12.

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pretty sure that the answer is 2 cuz

The approximate total cost of manufacturing 900 yards of ribbon using left endpoints of 5 subintervals is $485.88.

To approximate the total cost, we'll use the left endpoint Riemann sum. First, we divide the interval [0,900] into 5 equal subintervals of width Δx = 900/5 = 180. Next, we evaluate the marginal cost function C'(x) at the left endpoints of each subinterval.

Using the left endpoint of the first subinterval (x = 0), C'(0) = -0.00002(0)^2 - 0.04(0) + 55 = 55 cents. Similarly, we compute C'(180) = 51.80, C'(360) = 48.20, C'(540) = 44.40, and C'(720) = 40.40 cents.

Now we can calculate the approximate total cost using the left Riemann sum formula: Δx * [C'(0) + C'(180) + C'(360) + C'(540) + C'(720)]. Plugging in the values, we get 180 * (55 + 51.80 + 48.20 + 44.40 + 40.40) = 180 * 240.80 = 43,344 cents.

Finally, we convert the total cost to dollars by dividing by 100: 43,344 / 100 = $433.44. Rounded to the nearest cent, the approximate total cost of manufacturing 900 yards of ribbon is $485.88.

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Answer:

5

Step-by-step explanation:

keep change flip

   3         -       -2

3 + 2

Answer:

The area of a trapezium is computed with the following formula: Area = 1 2 × Sum of parallel sides × Distance between them.

Step-by-step explanation:

Hope it help! :)

Answer:

150m^2

Step-by-step explanation:

Given data

a=8m

b=17m

h=12m

We know that the expression for the area of a trapezoid is given as

Area= (a+b/2)*h

substitute

Area= (8+17/2)*12

Area= 25/2 *12

Area= 12.5*12

Area= 150 m^2

Hence the area is 150m^2

1. The line which is parallel to the line l as represented in the task content is; line k. This follows from the fact that the two lines have the same slope and are bound to never meet each other.

2. The transformation which results in line k from line l is; the translation of line l by a given number of units upwards (vertical direction).

3. The transformation which results in line l from line p is; the rotation of line l in the anticlockwise direction by an angle of about; 90°.

Parallel lines as defined geometrically are lines which are bound to never meet and hence, such lines would definitely have equal slopes.

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_________________________________________________________

Why do we include 40 if it says less than?

Good question.

We include 40 because it technically counts as representing itself or anything within the range of 20 and 40

Answer:

8$/lb

Step-by-step explanation:

because 8 x 5 is 40 there for each pound would be 8$ if there are 5 pounds

Answer:

18,27, putting 3 fives instead of 5 3s.

Step-by-step explanation:

Answer:

108.9 usd

Step-by-step explanation:

Let x be the original price of the swimsuit.

x(1-10%) = "sale" price

0.9x = 98 usd

x ≈ 108.9 usd

Answer: π/2

Step-by-step explanation:

3π/4 - π/4 = 2π/4

2π/4 = π/2

Answer:

There is no answer to any square root to a negative number

Step-by-step explanation:

Answer: 7*10∧7

Step-by-step explanation:

The the function to estimate the average age of employee of a company is A(s)=0.285s + 59  , then the average age of employee in 2003 is 65.27 and in 2009 is 66.98

To estimate the average age of an employee in 2003, we need to find the value of A(s) when s = 22  ;

because the number of years between 2003 and 1981 is = 22 years ;

So , A(22) = 0.285×22 + 59 = 65.27  ;

The average age of an employee in 2003 is approximately 65.27.

To estimate the average age of an employee in 2009,

we need to find the value of A(s) when s = 28

because the number of years between 2009 and 1981 is = 28 years ;

So , A(28) = 0.285×28 + 59 = 66.98  ;

The Average age of employee in 2009 is approximately 71.48.

The given question is incomplete , the complete question is

The function​ A(s) given by ​A(s)=0.285s + 59  can be used to estimate the average age of employee of a company in the year 1981 to 2009. Let​ A(s) be the average age of an​ employee, and "s" be the number of year since​ 1981; that​ is, s=0 for 1981 and s=9 for 1990. What is the average age of the employee in 2003 and in​ 2009 ?

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Answer:  the answer is A. 14.

Step-by-step explanation: In each trial of the reenactment, Scott chooses one card from the stack and records its digit. Based on the given data, a digit of or 1 speaks to a objective scored, and a digit of 2 through 9 speaks to a missed endeavor.

Out of the 5 endeavors per amusement, on the off chance that Scott scores precisely 2 objectives, it implies he missed 3 endeavors. Subsequently, the likelihood of this occasion can be calculated as:

P(exactly 2 objectives) = (0.2)²(0.8)³ = 0.008192

This likelihood can be utilized to discover the anticipated number of diversions in which Scott scores precisely 2 objectives, by duplicating it by the overall number of diversions reenacted:

Anticipated number of recreations = P(exactly 2 objectives) × Add up to number of recreations = 0.008192 × 84 ≈ 0.68

Adjusting to the closest entire number, we get that Scott is anticipated to score precisely 2 objectives in 1 diversion out of the 84 recreated diversions.

The functions are as follows:

Function f: R → R, f(x) = x²

Onto function: The function f is not an onto function since some negative numbers do not have square roots in real numbers.

One-to-one function: The function f is not a one-to-one function since for each positive number "x", there exist two values that we can input and get that positive number "x" output.

Example: Consider -4 which is a negative number. It doesn't have a square root in real numbers.

Function g: R → R, G(x) = x³

On to function: The function g is onto since every real number can be obtained by the function g.

One-to-one function: The function g is one-to-one since for each input "x" there is only one output.

Example: Consider the values x = 2 and x = -2. On inputting these values into the function, we get outputs 8 and -8 respectively. Thus, we get two different outputs for the same value h(x) = x³Function h: Z → Z, h(x) = x³On to function: The function h is onto since every integer has a cube root.

One-to-one function: The function h is not a one-to-one function since for each negative number "x", there exist two values that we can input and get that negative number "x" output.

Example: Consider the input -2. On input this value into the function, we get the output -8. But -(-2)³ = -8. Thus, we get two different inputs for the same value h(x) = x³.

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On Solving the initial value problem y(t)  , e⁻²¹ dy/dt =y⁻¹(1-e⁻²t); y(0) = 0  , we get the solution is y² = e^(2t) - 2t - 1 .

The function is : e⁻²¹ dy/dt =y⁻¹(1-e⁻²t) ;

⇒ e^(-2t)dy/dt = (1/y)(1-e⁻²t)   ..because y⁻¹ = 1/y ;

⇒ ydy = e^(2t)[1-e^(-2t)) dt ;

⇒ ydy = (e^(2t) - 1)dt ;

now integrating both sides of the problem ;

⇒ y²/2 = [e^(2t)/2 - t]+c ;

Now we know that initial value : y(0) = 0 ;

Substituting y(0)= 0 , we get ;

⇒ 0²/2 = [e⁰/2 - 0]+c ;

⇒ c = -1/2 ;

So , the solution is  y²/2 = [e^(2t)/2 - t] - 1/2 .

it can be written as : y² = e^(2t) - 2t - 1 .

Therefore , the solution of the initial value problem is y² = e^(2t) - 2t - 1 .

Solve the following initial value problems for y(t) by antidifferentiation or by aseparation of variables :  e⁻²¹ dy/dt =y⁻¹(1-e⁻²t); y(0) = 0  .

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In order to identify the single transformation from the preimage to the image, it is essential to analyze the changes that have occurred in the shape, position, and orientation of the figure.

Transformations in geometry typically involve four main types: translations, rotations, reflections, and dilations.

A translation occurs when a figure is shifted along a straight path without changing its shape or orientation. If the preimage and image have the same shape and orientation but are located in different positions, then a translation has taken place.

A rotation involves turning a figure around a fixed point, called the center of rotation. If the preimage and image have the same shape and size but differ in orientation, then a rotation has likely occurred.

A reflection occurs when a figure is flipped across a line, known as the line of reflection. If the preimage and image are mirror images of each other and the same shape, size, and orientation, then a reflection has taken place.

A dilation is a transformation that changes the size of a figure but maintains its shape and orientation. If the preimage and image have the same shape and orientation but different sizes, then a dilation has occurred.

To identify the single transformation from the preimage to the image, examine the changes in shape, size, position, and orientation of the figures, and determine which of these four transformation types best describes the change.

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Hi! Let me help you! :)

Answer:

y-1=4/5(x+2)

Hope you find it helpful.

~Nature~

Enjoy your day! :)

Answer:

alright hers your brainliest and thank you very much i  really appreciate it

Step-by-step explanation: