The students in the Art Club are tiling a wall at the entrance to room 111 that is 8 Ft by 16 ft. They are using tiles that are 6 in. by 6 in. to create a multi-colored design. How many tiles do the students need?

The hiker used approximately 56.88 Watts of power in climbing the hill.

Power is defined as the rate at which work is done or energy is transferred. To calculate the power used by the hiker in climbing the hill, we need to know the amount of work done and the time it took.

The work done can be calculated as the product of the force applied and the distance moved. In this case, the force applied is equal to the weight of the hiker, which can be calculated as the mass multiplied by the acceleration due to gravity (9.8 m/s²).

Weight of the hiker = mass * acceleration due to gravity

Weight of the hiker = 51.7 kg * 9.8 m/s² = 506.66 N

The work done is equal to the force applied multiplied by the distance moved. In this case, the distance moved is 43.2 meters.

Work done = force * distance

Work done = 506.66 N * 43.2 m = 21,868.35 J (Joules)

Next, we need to determine the time it took to climb the hill, which is given as 384 seconds.

Now, we can calculate the power using the formula:

Power = Work done / Time

Power = 21,868.35 J / 384 s

Power ≈ 56.88 Watts

Therefore, the hiker used approximately 56.88 Watts of power in climbing the hill.

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Answer:

80

Step-by-step explanation:

thats the real answer

Total Productive Maintenance (TPM) practices ensure D. equipment downtime is maximized

According to TPM, operators are in charge of sanitizing, enhancing, and maintaining their workstations to guarantee quality and safety throughout production cycles. The objective of TPM is to maintain equipment in top working order to ensure that production processes go without hiccups or delays.

Through the optimization of equipment availability and performance, TPM seeks to increase overall productivity and quality. The 5S methodology, a method of workforce organization that aids in streamlining and standardizing facility procedures, is the foundation on which TPM is based.

Therefore, the correct option is D.

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The simple interest accumulated on the principal at 12% rate for 4 years is $3,840.

Simple interest formula is expressed as;

I = P × r × t

Where I is interest, P is principal, r is interest rate and t is time.

Given the data in the question;

First, convert the interest rate from percent to decimal.

Interest rate r = 12%

Interest rate r = 12/100

Interest rate r = 0.12

Plug the given values into the above formula and solve for interest I.

I = P × r × t

I = $8000 × 0.12 × 4

I = $3,840

Therefore, the interest earned is $3,840.

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Answer:

Step-by-step explanation:

What is the question?

g(x) = -0.5x² + 4x - 2 is a down-opening parabola. Do you need to know how to put it in vertex form?

vertex (4,6)

focus (4,5.5)

The question can be solved by solving a system of equation

Let the adult ticket be represented by a

Let the children ticket be represented by c

So from the first statement, we will have 155a + 230c = 1285.5 ----- equation 1

Also from the second statement, we have 2a + 3c = 53.75 ------ equation 2

We can solve two equation simultaneously using the elimination method

155a + 230c = 1285.5 x 2 (multiply equation 1 by 2)

2a + 3c = 53.75 x 155 (umultiply equation 2 by 155)

=> 310a + 460c = 2571 ---- equation 3

=> 310a + 465c = 8331.25 ---- equation 4

Subtract equation 3 from equation 4

465c - 460c = 8331.25 - 2571

5c = 5760.25

The output of the following code fragment

int x=0;

while( x < 5)

cout << x << endl;

x ++;

cout << x << endl; will be  0, 1, 2, 3, 4, 5.

The code initializes the variable x to 0, and then enters a while loop that will execute as long as x is less than 5. During each iteration of the loop, the value of x is output to the console using the cout statement, followed by a new line character.

After the cout statement, x is incremented by 1 using the x++ statement. This process is repeated until x is equal to 5, at which point the loop terminates. Finally, the value of x is output to the console using the cout statement, followed by a new line character, giving the output of 5.

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Answer:

(x + 1)^2 + (y - 1)^2 = (8.5)^2

Step-by-step explanation:

Consider the general equation of a circle:

(x - h)^2 + (y - k)^2 = (r)^2

Where (h,k) represent the center point of the circle, and r represents the radius of the circle.  

For this circle, our center point appears to be at (-1,1) and the circle has a radius of 8.5.

Using this information, we simply plug these values into the general equation to get the following:

(x + 1)^2 + (y - 1)^2 = (8.5)^2

Cheers.

Answer:

x = 14

Step-by-step explanation:

add 6 to both sides:

8+6 = 6-6+x

14 = x

x = 14

Answer:

8.07 bc u need to divide, then multiply

Answer:

\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)

Step-by-step explanation:

\(\rightarrow 5n^2 = 7n -2\)

\(\rightarrow 5n^2 - 7n +2=0\)

\(\rightarrow 5n^2 - 5n -2n+2=0\)

\(\rightarrow 5n(n - 1) -2(n-1)=0\)

\(\rightarrow (5n-2)(n-1)=0\)

\(\rightarrow 5n-2= 0,\: n-1=0\)

\(\rightarrow 5n= 2,\: n=1\)

\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)

Step-by-step explanation:

\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)

The  system of 2 linear equations in two variables x, y, which form parallel lines are 2x + 3y = 7 and 2x + 3y = 10, the row reduction process has revealed that the system is inconsistent, and there is no common solution to the equations.

To create a system of parallel lines, we can take two linear equations with the same slope but different y-intercepts. For example, let's take the following two equations:

2x + 3y = 7

2x + 3y = 10

Both equations have the same slope of -2/3 but different y-intercepts. To visualize this, we can rewrite the equations in slope-intercept form:

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

y = (-2/3)x + 10/3

These equations represent lines with the same slope but different y-intercepts, and they are parallel.

To row reduce the system, we can represent the equations in an augmented matrix form:

[2 3 | 7]

[2 3 | 10]

To row reduce, we can subtract the first row from the second row, as shown below:

[2 3 | 7]

[0 0 | 3]

The resulting system represents a line with no solution, as 0x + 0y = 3 is a contradiction.

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Answer:

1 table with 6 plates

Step-by-step explanation:

Answer:

6 plates per table

Step-by-step explanation:

every tabel has 6 plates :) easy <3

Given, Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph.Both Jada and Elena start walking along a walking trail at the same time.

Let us determine the distance covered by both of them.Distance travelled by Jada in 3 hours is:Distance = Speed × Time= 3 mph × 3 hours= 9 miles Distance travelled by Elena in 3 hours is:Distance = Speed × Time= 2.8 mph × 3 hours= 8.4 miles Thus, Jada will walk 0.6 miles farther than Elena after 3 hours.

To determine how far Jada will walk after 3 hours, we need to calculate the distance traveled based on her speed.

Jada walks at a speed of 3 miles per hour (mph), so we can calculate her distance using the formula:

Distance = Speed × Time

Plugging in the values, we have:

Distance = 3 mph × 3 hours

Distance = 9 miles

Therefore, Jada will walk a distance of 9 miles after 3 hours.

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The given information is as follows:

Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph. If they both begin walking along a walking trail at the same time.

Therefore, Jada will walk 9 miles after 3 hours.

The distance covered by Jada after 3 hours can be calculated as follows:

Distance = Speed x Time

Since Jada walks at a speed of 3 mph, the distance covered by her in 3 hours can be calculated as:

Distance covered by Jada = 3 mph x 3 hours

= 9 miles.

Therefore, Jada will walk 9 miles after 3 hours.

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The formula for the monthly loan payment is given as

Where

P = loan amount ( initial principal) = $15000

A= Payment amount per period = ?

r = interest rate per period = (5/12) x (1/100) =0.0041667

n = total number of payments or periods = 4 years = 4 x 12 = 48 months

Substituting all these into the above equation gives

So each month he pays $345.44 to the nearest cent

B)

The total interest for the loan is given by

Total amount paid over the total period of time - Original amount borrowed

Total amount paid over the total period of time = 345.44 x 48 months = $16581.12

The total interest of the loan hence = $16,581.12 - $15,000 = $1,581.12

The total loan interest to the nearest cent = $1,581.12

The unit rate in teaspoons per pound would be 1/2 teaspoons per pound.

What is the unit rate?

A unit rate means a rate for one or something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

The number of teaspoons:

                                      \(=1\frac{3}{4}\\\\=\frac{4+3}{4}\\\\=\frac{7}{4}\)

Amount of pasta:

                              \(=3\frac{1}{2}\\\\=\frac{6+1}{2}\\\\=\frac{7}{2}\)

Now the unit rate = number of teaspoons/ amount of pasta

                             \(=\frac{7/4}{7/2}\\\\=\frac{1}{2}\\\)

Hence, the unit rate in teaspoons per pound would be 1/2 teaspoons per pound.

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Answer:

Step-by-step explanation:

1/2

Answer:

27.3

Step-by-step explanation:

x = (36.4 x (49 - 28))/21 = 27.3

Answer:

the surface area of a rectangle box of 5cm long, 3cm wide and 4cm wide is 94cm²

Answer:

32.5

Step-by-step explanation:

Take the 2.30 and multiply it by 7. Then take 4.10 and multiply it by 4. From there you add the answers together.

Answer:

-0.16

Step-by-step explanation:

Divide the answer :)

Answer:

2 and 6 is 1/6 2s on 2 dies is 2/12

Answer:

y = 0.75x + 17

Step-by-step explanation:

y - 20 = 0.75(x-4)

y - 20 = 0.75(x) + 0.75(-4)

y - 20 = 0.75x -3

y = 0.75x -3 + 20

y = 0.75x + 17

y - 20 = 0.75(x - 4)    |add 20 to both sides

we can simplified equation:

use the distributive property: a(b + c) = ab + ac

y = 0.75x - 0.75 · 4 + 20

y = 0.75x - 3 + 20

Answer: 3159.2

Step-by-step explanation:

8.8 times 109= 959.2

2.2 times 10 cubed= 2200

2200+959.2= 3159.2

Answer:

3159.2

Step-by-step explanation:

You have to do it step by step. You have to do the first parentheses, then the next, then add it together. Here's how you would do it:

You have to figure out the end result of the square root, then figure out the parentheses.

This is the end result of all the parentheses. All you have to do now is add the two numbers to get the end number.

This is the final result of the equation.

The correct answer is D.

The variable of time that could cause a student’s GPA to increase is studying.

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\(\lim \limits_{x \to \infty} \sqrt{x^2 +x(2a+2b) +4ab-x}\\\\\\=\lim \limits_{x \to \infty} \sqrt{x^2 \left( 1 + \dfrac{2a+2b}{x}+ \dfrac{4ab}{x^2} - \dfrac 1{x} \right)}\\\\\\=\sqrt{\lim \limits_{x \to \infty} x^2 \cdot \lim \limits_{x \to \infty} \left( 1 + \dfrac{2a+2b}{x}+ \dfrac{4ab}{x^2} - \dfrac 1{x} \right)}}\\\\\\=\sqrt{ \infty \cdot (1+0+0-0)}\\\\=\sqrt{ \infty \cdot 1}\\\\=\infty\)

To find the coefficient of the term with t^6 in the expansion of (x - 2)^12 without expanding the entire binomial, we can use the binomial theorem.

The binomial theorem states that the term at index k in the expansion of (a + b)^n can be calculated using the formula: C(n, k) * a^(n-k) * b^k. where C(n, k) represents the binomial coefficient, given by: C(n, k) = n! / (k! * (n - k)!). In this case, a = x and b = -2. We are interested in finding the term with t^6, so we need to find the k value that satisfies n - k = 6.

In the expansion of (x - 2)^12, the term with t^6 will have the following form: C(12, k) * x^(12-k) * (-2)^k. To find the k value that corresponds to t^6, we solve the equation n - k = 6: 12 - k = 6. Simplifying, we find: k = 12 - 6 = 6. Therefore, the term with t^6 in the expansion of (x - 2)^12 is given by: C(12, 6 ) * x^(12-6) * (-2)^6. C(12, 6) represents the binomial coefficient, which is calculated as: C(12, 6) = 12! / (6! * (12 - 6)!). Plugging in the values, we have: C(12, 6) = 924. Therefore, the term with t^6 in the expansion of (x - 2)^12 is: 924 * x^6 * (-2)^6. Simplifying further, we get: 924 * x^6 * 64. Finally, the simplified expression is: 59040 * x^6

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