you have a rectangular piece of wood that is 16 in by 8 in. a small length, x, is cut from each of the 4 sides yielding a surface area of 48 2 in . find the value of x.

Answer: "3 + x".

Step-by-step explanation:

Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.

Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.

So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.

On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.

It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.

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We need to use the concept of proprotionality for the given question.The value of y is 25.7, value of R is 1 and value of t is 144.

It is given that y varies directly as the square root of x which means that y is directly proportional to x, we can write it as

y∝\(\sqrt{x}\) which can again be written as y=\(\sqrt{x} k\) where k is a proportionality constant,we need to find the value of k inorder to find the value of y.We know that y=12 when x=49

12=\(\sqrt{49} k\)=7k⇒12=7k⇒k=\(\frac{12}{7}\)

when x=225 then y=\(\sqrt{225}\)×\(\frac{12}{7}\)=15×\(\frac{12}{7}\)=25.7

R is inversely proportional to the cube of S,we can write it as

R∝\(\frac{1}{S^{3} }\) ⇒R=\(\frac{k}{S^{3} }\)

We need to find the value of k inorder to find the value of R, it is given that R=8 when S=3

8=\(\frac{k}{27}\)

k=27x8=216

Value of R when S=6 will be

R=\(\frac{216}{6^{3} } =\frac{216}{216} =1\)

It is given that n varies directly as the square root of t and inversely as l,we can write it as

n∝\(\frac{\sqrt{t} }{l}\) which can be again written as n=\(\frac{\sqrt{t} }{l} k\) where k is a proportionality constant,we need to find the value of k first to find the value of t

We know that n=5 when t=16 and l=2

5=\(\frac{\sqrt{16} }{2}k=\frac{4}{2} k=2k\)

k=\(\frac{5}{2}\)

We know that n=10,l=3 and k=\(\frac{5}{2}\) substituting these values we can get the value of t

t=\((\frac{nl}{k} )^{2}\)=\((\frac{10.3.2}{5} )^{2} =12^{2} =144\)

Thus we can see that using the concept of proportionality we found out the values of y,R and t. Value of y is 25.7, R is 1 and t is 144.

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Answer:

3 Months.

Step-by-step explanation:

1 Month: J = $160 P = $200

2 Months: J = $200 P = $220

3 Months: J = $240 P = $240

Answer:

80%

Step-by-step explanation:

False. Because the repeated-measures ANOVA removes variance caused by individual differences, it usually is more likely to detect a treatment effect than the independent-measures ANOVA is.

The statement is false. The repeated-measures ANOVA is more likely to detect a treatment effect compared to the independent-measures ANOVA due to its ability to control for individual differences. By measuring the same subjects under different conditions, the repeated-measures design reduces the influence of individual variability and increases the sensitivity to detect treatment effects. In contrast, the independent-measures ANOVA compares different groups of subjects, which may introduce additional variability and make it relatively harder to detect treatment effects.

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Answer:

The missing fraction is 6/12

(you can further simplify this but the question requires that you don't do that)

Step-by-step explanation:

To add fractions easily, their denominators should have the same value, so the denominator should be 12,

Then, to get 16 in the numerator, we need to find a number that on adding to 10, gives 16, or,

10 + x = 16

x = 16 - 10

x = 6

So, the numerator should be 6

so we get the fraction, 6/12

We can also solve it in an alternate way,

\(10/12 + x = 16/12\\x = 16/12 - 10/12\\x = (16-10)/12\\x = 6/12\)

To find the proportion of adjustable/ fixed ratios, you will need to divide the number of adjustable items by the total number of items. For example, if you have 8 adjustable items and 10 total items, the proportion of adjustable items is 8/10, or 0.8.

To find the proportion of adjustable/fixed ratios, you need to follow these steps:

1. Identify the adjustable and fixed ratios in the question.
2. Convert the adjustable and fixed ratios into fractions.
3. Find the common denominator of the two fractions.
4. Multiply both the numerator and denominator of each fraction by the common denominator.
5. Subtract the numerator of the fixed ratio fraction from the numerator of the adjustable ratio fraction.
6. Simplify the resulting fraction if necessary.

For example, if you have an adjustable ratio of 2:3 and a fixed ratio of 1:4, you would first convert these ratios into fractions, 2/3 and 1/4. Next, you would find the common denominator, which is 12. You would then multiply both the numerator and denominator of each fraction by 12, resulting in 8/12 and 3/12. Finally, you would subtract 3 from 8 to get 5, and simplify the resulting fraction to 5/12. Therefore, the proportion of the adjustable/fixed ratios is 5/12.

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The solution of the exponential expression will be a⁹.

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied.

Given exponential expression is (a⁻¹ x a⁻²)⁻³. The expression will be solved as below,

E = (a⁻¹ x a⁻²)⁻³

The base is the same and the variables are in multiplication with powers then the powers will be added,

E = (a⁻³)⁻³

E = a⁹

Therefore, the solution of the exponential expression will be a⁹.

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Answer:

270mi

Step-by-step explanation:

5.4/2 = 2.7

2.7 * 100 = 270

Answer:

5 students; $90

Step-by-step explanation:

A-P-E-X

The 8-puzzle problem can be categorized as a "Pathfinding problem."

The 8-puzzle is a classic problem in artificial intelligence and computer science. It involves a 3x3 grid with eight numbered tiles and one empty space. The objective is to rearrange the tiles from an initial configuration to a goal configuration by sliding them into the empty space.

The reason why the 8-puzzle problem is classified as a pathfinding problem is that it involves finding a sequence of moves or actions to reach a desired state or goal. In this case, the desired state is the goal configuration of the puzzle. The problem requires determining the optimal sequence of moves that lead to the goal state while considering the constraints and limitations of the puzzle.

Pathfinding problems involve finding the shortest or optimal path from a starting point to a goal or destination. In the 8-puzzle problem, the empty space serves as the movable "agent" that can slide adjacent tiles. The objective is to find the shortest sequence of moves or actions to transform the initial configuration into the goal configuration, effectively finding a path to the solution.

Therefore, due to its nature of finding an optimal sequence of moves to reach a goal state, the 8-puzzle problem can be categorized as a pathfinding problem.

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To solve the equation 135°·(7x-10)=(11x+10)·(7x) is x ≈ -0.203 or x ≈ 1.567.

To solve the equation 135°·(7x-10)=(11x+10)·(7x), we can use the distributive property to expand the right side of the equation and then simplify.

First, convert the angle measure of 135 degrees to radians:

135° = 135/180π = 3π/4

Then substitute and simplify;

3π/4(7x - 10) = (11x + 10)(7x)

21πx/4 - 15π/4 = 77x² + 70x

Move all the terms to one side:

77x² + 70x - 21πx/4 + 15π/4 = 0

Next, we can solve for x using the quadratic formula;

x = (-b ± √(b² - 4ac))/2a

where a = 77, b = 70 - 21π/4, and c = 15π/4.

Plugging in these values, we get;

x = (-[70 - 21π/4] ± √[(70 - 21π/4)² - 4(77)(15π/4)])/(2(77))

Simplifying this expression gives two possible solutions for x;

x ≈ -0.203 or x ≈ 1.567

Therefore, the solution to the equation 135°·(7x-10)=(11x+10)·(7x) is x ≈ -0.203 or x ≈ 1.567.

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Answer:

Step-by-step explanation:

You can do this in two steps.

4s * (5s^2 + 10s + 3)                   Remove the brackets

20s^3 + 40s^2 + 12 s

2(5s^2 + 10s + 3)  

10s^2 + 20s + 6

Now add them

20s^3 + 40s^2 + 12s + 10s^2 + 20s + 6

Rearrange them so the like terms are together.

20s^3 + 40s^2 + 10s^2 +12s + 20s + 6

20s^3 + 50s^2 + 32s + 6

Equation of the line:

y = 4x – 4

Slope: 4

Answer:

+4

Step-by-step explanation:

Slope is Rise over Run or the difference in the y values over the difference in the x values.

Rise = difference between 4 and 8 = 4

Run = difference between 2 and 3  = 1

So your slope is 4 and since the line slants upward from left to right, the slope is positive.

Answer:

sdfggdgfhdnfnm rzmyv,cm

Step-by-step explanation:

A.8,B.2,C.6

Step-by-step explanation:

because

X=A is Z add b is 8

Answer: 127 233 203 from top to bottom

Step-by-step explanation:

mJL is, as shown, 127

mJML = 360 - 127 = 233

And mLON = 360 - 90 - 67 = 203

Answer:

A.

Step-by-step explanation:

Because it is a polynomial with highest degree of x = 2.

Since we read from left to right, when we see a price, we process the number of dollars before the number of cents. This is why so many prices end in a.99.

Price is a term used in economics and business to describe the monetary value of a good or service. It's usually the sum of a good or service's cost plus a profit. The price of a good or service is influenced by many factors, including supply and demand, competition, production costs, and government regulations.

Thus, 99 is the correct answer.

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Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

Given, Returns of the company for the last few years are 5%, 10%, -15%, 20%, -12%, 22%, 8%
Arithmetic Average return:
Arithmetic Average return = (sum of all returns) / (total number of returns)
Arithmetic Average return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Therefore, the arithmetic average return of the company is 2.57%.
Geometric average return:
Geometric average return = [(1+R1) * (1+R2) * (1+R3) * …….. * (1+Rn)]1/n - 1
Geometric average return = [(1.05) * (1.1) * (0.85) * (1.2) * (0.88) * (1.22) * (1.08)]1/7 - 1= 0.13
Therefore, the geometric average return of the company is 13%.
Variance:
Variance = (sum of (return - mean return)2) / (total number of returns)
Mean return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Variance = [(5-2.57)2 + (10-2.57)2 + (-15-2.57)2 + (20-2.57)2 + (-12-2.57)2 + (22-2.57)2 + (8-2.57)2] / 7= 392.12 / 7= 56
Therefore, the variance of the company is 56.
Standard Deviation:
Standard Deviation = Square root of Variance
Standard Deviation = √56= 7.48
Therefore, the standard deviation of the company is 7.48%.

Thus, Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

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Answer:

√15

Step-by-step explanation:

When you multiply surds:

Hope this helps!

Answer:

Step-by-step explanation:

Step one:

For Ryan

Principal= $775

rate= 4.24%

time = 4 years

the simple interest formula

SI= PRT/100

SI=(775*4.24*4)/100

SI=13144/100

SI=$131.44

Step two:

For Brian

Principal= $775

rate= 4.24%

time = 1years

the simple interest formula

SI= PRT/100

SI=(775*4.24*1)/100

SI=3286/100

SI=$32.86

Answer:is a rectangle

Step-by-step explanation:

Answer:

rectangle

Step-by-step explanation:

Answer: 1.28

Step-by-step explanation:

1. P(Z > 0.99) = 1 -Ф (0.99) = 1-0.8389 = 0.1611

2.P(Z <-0.99) = Ф(-0.99) = 0.161 (known that from [a] by symmetry)

3.P(Z <0.99) = Ф(0.99) = 0.8389

4. P(Z >0.99) = P(Z <-0.99) + P(Z > 0.99) = 2(0.1611) = 0.3222

The value z = 10.0 is out because it is too large. On comparing with the largest value, z = 3.99,

we get

5. P(Z < 10.0) > P(Z <3.99) = 1.0

6.P(Z > 10.0)<P(Z > 3.99) =10.0

7. On solving the equation

Ф(Z) = 0.9

for Z.

In Table A4, find the value of z corresponding to the probability 0.9. The  nearest value is Ф(1.28) = 0.8997. Therefore, z ≈ 1.28

Answer:

yes it is exactly 39 ft long

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

using the Pythagorean theorem:

36² + 15² = c²

1296 + 225 = c²

1521 = c²

c = 39 ft

From the quadratic equation, it is found that the 2000 snowboards must be produced for the company to break even.

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

The profit of producing x thousand snowboards is given by:

\(P(x) = 162x - 81x^2\)

The break even point is the value of x for which P(x) = 0, thus:

\(162x - 81x^2 = 0\)

\(81x^2 - 162x = 0\)

\(81x(x - 2) = 0\)

That has two solutions:

\(81x = 0 \rightarrow x = 0\)

\(x - 2 = 0 \rightarrow x = 2\)

x is in thousands, and we want the non-zero solution, thus 2000 snowboards must be produced for the company to break even.

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Answer:Use the calculator above to calculate height, radius or volume of a cylinder. Enter any two values and the missing one will be calculated.

Step-by-step explanation: I dont know

Answer:

We need the values to help you, but I think I can get you started.

Step-by-step explanation:

To find the volume of a cylinder, you find the area of the base, then multiply by height. The formula is v=(πr²)(h), pi times the radius squared, times height. Plug in your values, and you should be good to go.

Answer:

a) 2 ; b) 0; c) -2 ; d) -1

Step-by-step explanation:

a) f(-4)=2 ;

b) f(0)=0;

c) f(2)= -2 ;

d) f(5)= -1