what is the surface area of the rectangular prism

Answer:

87*0.5 = 43.5

43.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

5^2 + 12^2 = x^2

25 + 144 = x^2

169 = x^2

13 = x

answer is C

Answer:

13

Step-by-step explanation:

Answer: 3.14159265358979.....

Step-by-step explanation:

Answer:

3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 7067.

The period of the simple harmonic motion described by the equation d = 9 cos(pi/2t) is 4 seconds. The period is the time it takes for the motion to complete one full cycle, and in this case, it takes 4 seconds to do so.

To understand why the period is 4 seconds, let's examine the equation. The cosine function has a period of 2π radians or 360 degrees. In this equation, the argument of the cosine function is (π/2)t. To find the period, we need to determine the value of t that corresponds to one full cycle of the cosine function.

Since the argument is (π/2)t, one full cycle occurs when (π/2)t increases by 2π radians or 360 degrees. Solving for t, we have:

(π/2)t = 2π

Dividing both sides by π/2, we get:

t = 4

Therefore, the value of t that corresponds to one full cycle is 4 seconds, which is the period of the simple harmonic motion described by the equation.

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The difference between amount of  two proportions is measured by D'.

D' is a metric for comparing differences between two proportions. It serves as a gauge for comparing how far apart the two proportions are from one another. It is determined by multiplying the difference between the two proportions by the sum of the standard deviations of the two proportions. The outcome is a measurement of how many standard deviations there are between the two proportions.

In statistical tests like the Chi-Square test or the Z-test, D' is most frequently employed to calculate the difference between two proportions. It is a helpful way to compare two proportions because it indicates whether or not the difference is statistically significant. Given that it takes into consideration the variability of each sample, it is especially helpful when comparing two proportions when the sample sizes are different. In data-mining applications, where it can be used to find correlations between two proportions, D' is also a helpful measure of the separation between two proportions.

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Answer:

2 quadrants

Step-by-step explanation:

If it is 360 it would be 180 times 2 leading you back to where you started so 2 a  point at (x,y) would turn into (-x,-y) when moved 180 degrees

Answer:

5.36 is the answer thats what the calculator said.

Answer: 4177 rounds to 4180

Step-by-step explanation:

7652-3475=4177

4177 rounds to 4180

The sign painter can make 1000 signs for $1200. To solve this problem, we need to set up an equation that relates the cost of making n signs to the number of signs produced.

We are given that the cost is given by the expression \(8n^{2/3}\)+400. Therefore:
\(8n^{2/3}\) + 400 = cost
We want to find the number of signs that can be made for $1200. So we set up another equation:
\(8n^{2/3}\) + 400 = 1200
Simplifying this equation, we get:
\(8n^{2/3}\) = 800
\(n^{2/3}\) = 100
\(n^2\) = \(100^3\)
n = 1000
Therefore, the sign painter can make 1000 signs for $1200.
To check our answer, we can substitute n = 1000 into the original equation:
\(8n^{2/3}\) + 400 = \(8(1000)^{2/3}\) + 400 = 1200
So our answer is correct.

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The smallest possible value of x is 8.

Given:

LCM of x and 60 = 240

240 = 2*2*2*2*3*5

= \(2^{4} *3*5\)

60 = 2*2*5*3

= \(2^2*5*3\)

so x must have the same primes as 240.

x = \(2^i*3^j*5^k\)

i<=4 and j,k <= 1

so,

x = \(2^4\)

x = 8.

Therefore the smallest possible value of x is 8.

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If the cost of a 30-second commercial during the Super Bowl increased approximately linearly from 3.1 million, it means that there is a linear relationship between the cost and time.

To determine the exact relationship or equation, we would need more data points or information. However, based on the given information, we can describe the linear relationship between the cost (C) and time (T) using the slope-intercept form of a linear equation:

C = mT + b

Where:

C is the cost of the commercial

T is the time (in seconds)

m is the slope (rate of increase in cost per unit of time)

b is the y-intercept (initial cost at T = 0)

In this case, we know that the initial cost (when T = 0) is 3.1 million. Therefore, the equation becomes:

C = mT + 3.1 million

Without more data points or information, we cannot determine the exact value of the slope (m) or the equation of the linear relationship. To obtain a more accurate and specific equation, additional data or context is necessary.

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Area shaded represents the area bounded by both the graphs of the functions y = sin(πx) and y = x³ - 4x.

An area bounded by two curves is the area under the smaller curve subtracted from the area under the larger curve. This will get you the difference, or the area between the two curves.

Given is the region {r} bounded by the graphs of y = sin(πx) and y = x³ - 4x.

Refer to the graph attached. The shaded region is the area bounded by both the graphs of the functions y = sin(πx) and y = x³ - 4x.

Therefore, area shaded represents the area bounded by both the graphs of the functions y = sin(πx) and y = x³ - 4x.

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I think the answer is 20.99

Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

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Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

Answer:

8 lines

Step-by-step explanation:

5 yards = 4.572 meters

40 m /4.572 = 8.7489063867

8 lines

The equation of a circle with center (a, b) and radius r is:

(x - a)^2 + (y - b)^2 = r^2

(x, y) represents any point on the circle

A circle is described as a shape consisting of all points in a plane that are at a given distance from a given point, the center.

The properties of the circle are as follows:

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Answer:

\( \frac{6 {x}^{2}y - 12 {x}^{4} y + 15 {x}^{3} {y}^{2} - 3 {x}^{2} {y}^{2} }{3 {x}^{2}y } \\ \frac{2 \times 3 {x}^{2}y - 6 {x}^{2} 3 {x}^{2} y + 5xy3 {x}^{2} y - y3 {x}^{2} y}{3 {x}^{2}y } \\ cancel3 {x}^{2} y \: from \: all \: term \\ = \frac{2 - 6 {x}^{2} + 5x y - y }{1} \\ = 2 - 6 {x}^{2} + 5xy - y \\ thank \: you\)

The amount of cardboard used is 138.3046875 square inches.

To find the amount of cardboard used, we need to calculate the surface area of the given dimensions.

The surface area of a rectangular prism can be found by multiplying the length, width, and height of the prism.

Surface Area = 2(length × width + width × height + height × length)

Plugging in the given dimensions:

Length = 5.375 inches

Width = 8.625 inches

Height = 1.625 inches

Surface Area = 2(5.375 × 8.625 + 8.625 × 1.625 + 1.625 × 5.375)

Simplifying the equation:

Surface Area = 2(46.328125 + 14.078125 + 8.74609375)

Surface Area = 2(69.15234375)

Surface Area = 138.3046875 square inches

Therefore, 138.3046875 square inches of cardboard were consumed.

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Since the triangle is scalene, then every side must have diferent size. The options are

Then, all the options can be the perimeter of the triangle

Answer: √

10

−

75

Step-by-step explanation:

Answer:

463.245553

Step-by-step explanation:

3.16227766+25-5 times 20

Answer:

Step-by-step explanation:

For this question they are asking you to find y when x is {2, 4, and 6}

That means you need to plug 2,4, and 6 into the equation and solve.

For example:

f(x) = 5x - 4

f(2) = 5(2) - 4

f(2) = 10 - 4

f(2) = 6

f(x) = 5x - 4

f(4) = 5(4) -4

f(4) = 20 - 4

f(4) = 16

f(x) = 5x - 4

f(6) = 5(6) - 4

f(6) = 30 - 4

f(6) = 26

Answer:

6,16,26 is the answer

Step-by-step explanation:

Answer:

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

The base is a right triangle with shortest side of 3 cm and hypotenuse of 5 cm.

Then, according to Pythagorean Theorem, its longer leg is:

Find the lateral surface area:

Find the area of two triangle bases:

Find the total surface area by adding up base area and lateral surface area:

Hey there!

f(x) = g(x) = h(x) = y

Since, you have the value of x (8), you can substitute it in the equation to make it easier to solve. We just have to find your f(x) value (also known as the y-value)

f(x) -0 -3 * x^2 - 2

f(x) = -3x^2 - 2

y = -3x^2 - 2

y = -3(8)^2 - 2

y = -3(8^2) - 2

y = -3(8 * 8) - 2

y = -3(64) - 2

y = -192 - 2

y = -194

Therefore, your answer should be:

f(x) = -194

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

A parallelogram must be a rhombus when its diagonals are perpendicular.

A rhombus is a quadrilateral that has all its four sides equal in length. The diagonals of the rhombus bisect each other at a right angle. Also, the opposite angles of a rhombus are equal in measure and opposite sides are parallel to each other.

Given that, a parallelogram is a rhombus,

According to the definition of a rhombus, we know that, The diagonals of the rhombus bisect each other at a right angle.

Hence, the true statement is A parallelogram must be a rhombus when its diagonals are perpendicular.

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The percentage rise from the cash price when paying monthly is 20%.

To calculate the percentage increase from the cash price when paying monthly, we need to compare the total amount paid when paying monthly with the cash price.

The cash price for the boiler is £2000. When paying monthly, the customer makes 60 payments of £40 each. Total amount paid monthly = 60 * £40 = £2400. To find the percentage increase, we can use the following formula:

Percentage increase = ((Total amount paid monthly - Cash price) / Cash price) * 100.

Substituting the values, we get:

Percentage increase = ((£2400 - £2000) / £2000) * 100 = (£400 / £2000) * 100 = 20%.

Therefore, the percentage increase from the cash price when paying monthly is 20%. This means that the customer pays 20% more than the cash price over the 60-month period when opting for monthly payments.

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The total time required to fill the pool completely as per the inlet and drain pipe capacity is given by 146.25 hours.

Let's assume that the capacity of the pool is 1 unit .

The inlet pipe can fill the pool at a rate of 1/26 units per hour.

The drain pipe can empty it at a rate of 1/30 units per hour.

When both pipes are open,

The net rate of filling is the difference between the rate of filling and the rate of emptying,

Net rate = Rate of filling - Rate of emptying

⇒Net rate = 1/26 - 1/30

⇒Net rate = (30 -26 )/780

⇒Net rate = (4)/780

⇒Net rate = 1/195 units per hour

Since the pool is already 25% filled.

This implies,

It still needs to be filled by another 0.75 units.

The time required to fill the pool by 0.75 units at a net rate of 1/195 units per hour can be found using the formula,

Time = Amount of filling needed / Net rate

⇒Time = 0.75 / (1/195)

⇒Time = 146.25 hours

Therefore, the total time taken to fill the pool completely would take another 146.25 hours.

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Answer:

Heyy, could you please take a screenshot? It'll be so much easier to see haha. Try Snipping tool if you have Windows, and Command + Shift + 4 for screenshot on Mac. Then I can answer.

Step-by-step explanation: