True or False: An observational study itself can never establish cause and effect.

A. The area of the glass portion is 6x². B. Length of window and pane is 3x + 8 inches, and Width is 2x + 7 inches. C. Area of the window and pane is 6x² + 23x + 56. D. Area of the wooden pane is  23x + 56 inches².

A: The area of the glass portion can be found by multiplying the length and width of the glass.

Given that the height of the glass portion can be represented as 3x and the width can be represented as 2x, we have:

Area of glass portion = 3x × 2x = 6x²

B: To find the length and width of the window and the pane, we must add the wooden trim to the height and width of the glass portion. The wooden trim adds 7 inches to the width and 8 inches to the height, so we have:

Length of window and pane = 3x + 8 = 3x + 8 inches

Width of window and pane = 2x + 7 = 2x + 7 inches

C: Using the length and width from Part B, we can calculate the area of the window and the pane by multiplying the length and width:

Area of window and pane = (3x + 8) × (2x + 7) = 6x² + 23x + 56

D: To find the area of just the wooden pane, we subtract the area of the glass portion from the area of the window and the pane:

Area of wooden pane = Area of window and pane - Area of glass portion = 6x² + 23x + 56 - 6x² = 23x + 56 inches²

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Answer: x = −2, y= 9

Step-by-step explanation:

Solving for X

-3x+3=y

-x+3y=29

Plug the top equation into the bottom one

-x+3(-3x+3)=29

Distribute

-x - 9x + 9 = 29

combine like terms

-10x + 9 = 29

-10x = 20

Divide the x

x = -2

Solving for Y:

Plug the value x into any of the equations'

-3(-2) + 3 = y

Distribute

6 + 3 = y

y = 9

To check if that is right, plug x into the other equation

-(-2) + 3y = 29

Distribute and combine like terms

2 + 3 y = 29

3y = 27

y = 9

The correct option are: B. x = 1 is an attractor; is the critical point for the given autonomous differential equation.

The right-side zeros of an autonomous 1st order differential equation provide the critical points: x' = f(x)

If a sign of said function shifts from positive towards negative, f(x) = 0

The solutions would converge around the critical point around an attractor.

Solve the autonomous differential equation:

dx/dt = x(1 - x),

Put dx/dt = 0

x(1 - x) = 0

x = 0, x = 1

Thus, at x = 1.

The function changes as from positive towards negative.

So, the solution becomes critical point.

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Answer:

Below

Step-by-step explanation:

y = 3/20  *  x        where y is in miles   and x is in minutes

If Hamid's current weight is 88kg and it is 10% higher than his normal weight, then we can use the following formula to find his normal weight:

Normal weight = Current weight / (1 + 10%)

10% of Hamid's weight is 0.10 * 88kg = 8.8kg

So, Normal weight = 88kg / (1 + 8.8kg) = 88kg / 1.10 = 80kg

Therefore, Hamid's normal weight is 80kg.

The values of x in the equation is x = -2.39 and x = 1.89

From the question, we have the following parameters that can be used in our computation:

2(4x + 8 - x²) = 9x + 7

Open brackets

This gives

8x + 16 - 2x² = 9x + 7

Evaluate the like terms

2x² + x - 9 = 0

Using a graphing calculator, we have the following values

x = -2.386 and x = 1.886

Approximate

x = -2.39 and x = 1.89

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The value of y in the given triangle is 5√3. Therefore, option A is the correct answer.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given triangle, one of the leg of right tringle is 5 units.

We know that, tanθ= Opposite/Adjacent

tan60° =y/5

√3 =y/5

y=5√3

Therefore, option A is the correct answer.

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5x = 60

Let x be the value of 12. Then, 5 times as great as 12 is 5x.

So, the equation can be written as:

5x = 60

To isolate x, we can divide both sides of the equation by 5:

x = 60/5

⬇️

x = 12

Answer:

254

Step-by-step explanation:

i think it is correct

Answer:

-76.5

Step-by-step explanation:

see image attached for sol

Answer:

13

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

1=3

2=6

3=9

The relation is Y=3X

Y20 = 3X20=60

We can use graphical or numerical methods to estimate the solutions os equations by finding the x-values at which the graph of f(x) intersects the x-axis at y = -1.

We must identify the values of x that cause f(x) to equal -1 in order to estimate the solutions to the equation f(x) = -1.

It is challenging to identify the precise solutions of the equation without knowing the precise shape of the function f. (x). However, by locating the x-values where the graph of f(x) intersects the x-axis at y = -1, we can use graphic or numerical techniques to approximate the solutions. Based on the degree, there are three primary sorts of equations. linear, cubic, and quadratic equations.

Equation Solving: A General Principle

On each side of the equation, merge like terms and remove parentheses.

You can use either addition or subtraction to separate the variable word.

Use multiplication or division to find the solution for a variable.

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The painting is worth $22,225.62 today.

Compound interest is computed on the principal as well as the interest accumulated over the preceding period. It differs from simple interest in that interest is not added to the principal when computing interest for the next month.

Compound annual growth rate (CAGR) is the average yearly growth rate of an investment over a time period greater than one year. It is one of the most reliable methods for calculating and determining returns for individual assets, investment portfolios, and anything else whose value might grow or decline over time.

The formula to calculate the increase in the value of the painting is:

value_today = value_yesterday * (1 + 0.32)^number_of_years

Plugging in the given values:

value_today = $12,430 * (1 + 0.32)^2 = $12,430 * 1.32^2

= $12,430 * 1.7984

= $22,225.62

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The third side of triangle is 7/15.

The third side of a triangle must satisfy the triangle inequality, which states that the sum of any two sides must be greater than the third side. For a triangle with sides of 5 and 7 inches, the third side must be less than 5 + 7 = 12 inches. So, the possible lengths for the third side are 5, 6, 7, 8, 9, 10, 11 inches.

There are 15 total possible lengths for the strip, so the probability of randomly selecting a strip that can be used as the third side of a triangle with sides of 5 and 7 inches is 7/15.

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The third side of triangle is 7/15.

The third side of a triangle must satisfy the triangle inequality, which states that the sum of any two sides must be greater than the third side. For a triangle with sides of 5 and 7 inches, the third side must be less than 5 + 7 = 12 inches. So, the possible lengths for the third side are 5, 6, 7, 8, 9, 10, 11 inches.

There are 15 total possible lengths for the strip, so the probability of randomly selecting a strip that can be used as the third side of a triangle with sides of 5 and 7 inches is 7/15.

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When 80 inches is converted to feet it will be 6.66667 feet.

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Answer:

Let's define these terms:

Step-by-step explanation:

A variable is a letter that represents a number.

x and y are common variables for algebra.

A coefficient is a number next to a variable.

Ex: 8x, 8 is the coefficient for the variable x

A constant is a number without a variable.

Ex: 3, -4, and pi are examples of constants.

The probability that the first marble is white and the second is green is 0.083.

The probability of drawing a white marble first and then a green marble can be calculated by multiplying the individual probabilities of drawing each marble. The probability of drawing a white marble is 3/18 and the probability of drawing a green marble is 9/18. So, the probability that the first marble is white and the second is green is

= probability of drawing a white marble   x

  probability of drawing a green marble

= (3/18) * (9/18)

= 0.16666666666 * 0.5

= 0.083.

This means that if we randomly select two marbles, with replacement, from the jar, there is a 0.083, or 8.3%, chance that the first marble will be white and the second will be green. The probability is calculated by taking the product of the individual probabilities of each event happening.

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The expression that is equivilant to (3d^4)^2 is 9d^8

From the question, we have the following parameters that can be used in our computation:

(3d^4)^2

Remove the bracket

So, we have the following representation

3^2 * d^(4*2)

Evaluate the exponents

9 * d^8

So, we have

9d^8

Hence, the expression is 9d^8

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The value of y when x = 45 using the given table is; y = (6/√2) + 4

The equation that represents the table is;

y = a cos x° + b

At x = 0, y = 10. Thus;

10 = acos 0 + b

cos 0 = 1

Thus;

10 = a + b    ------(1)

At x = 60, y = 7

Thus;

7 = a cos 60° + b

cos 60 = 0.5

Thus;

7 = 0.5a + b    -----(2)

Subtract eq 2 from eq 1 to get;

3 = 0.5a

a = 3/0.5

a = 6

b = 10 - 6

b = 4

Thus, the equation is;

y = 6cos x° + 4

At x = 45. we have;

y = 6cos 45° + 4

y = (6/√2) + 4

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Answer:

  24501.42 m³

Step-by-step explanation:

You want the volume of a cylinder that is 34 m in diameter and 27 m high.

The volume of a cylinder is given by the formula ...

  V = πr²h

where r is the radius, half the diameter, and h is the height.

Use the given values in the formula and do the arithmetic. The volume is about ...

  24501.42 m³

__

Additional comment

The answer shown has 7 significant figures. The value used for π has 3 significant figures, so any figures in the answer after the first 3 are incorrect. When a more accurate value of π is used, the answer rounds to 24513.85 m³.

Answer:

Below

Step-by-step explanation:

the sides of the second figure are 4/3 bigger than the first

4/3 * 4/3 * 100 = 177.78 units^2

   There are two sides involved in calculating area  L x W

        so you have to multiply by 4/3 TWICE

Answer:

41/81

Step-by-step explanation:

There are a total of 4 blue marbles, 5 red marbles giving 9 total number of marbles

Let P(B₁) =Probability of getting a blue marble on the first draw

Let P(B₂) =Probability of getting a blue marble on the second draw

Let P(R₁) =Probability of getting a red marble on the first draw
Let P(B₂) =Probability of getting a red marble on the second draw

P(B₁) = Number of blue marbles ÷ total number of marbles = 4/9

Since the marble is replaced before the second draw, the total number of blue marbles and total number of both marbles is the same as for the first draw

P(B₂) = P(B₁) = 4/9 also

Probability of getting 2 blue marbles on 2 consecutive draws= P(B₁B₂)
= 4/9 x 4/9 = 16/81

P(R₁) = Number of red marbles ÷ total number of marbles = 5/9

P(getting a red marble on the second draw) = P(R₁R₂) = 5/9

Probability of getting 2 red marbles on 2 consecutive draws = P(R₁R₂)
= 5/9 x 5/9 = 25/81

Since we are asked the probability of getting 2 of the same color we can rephrase the same question as

P(two of same color) = P(B₁B₂ ∪ R₁R₂) = P(B₁B₂) + P(R₁R₂) = 16/81 + 25/81 = 41/81

Shakita will have enough felt to make 10 banners and she will have 2 yards left over

First, let's calculate how much felt Shakita needs for 10 banners using multiplication

= 10 banners * 1/4 yard per banner

= 2.5 yards

Comparing this with the amount of felt Shakita has:

Shakita has 4.5 yards of felt, and she needs 2.5 yards to make 10 banners, so she will have:

4.5 yards - 2.5 yards = 2 yards of felt left over.

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Step-by-step explanation:

If Randy needs to buy a headset that costs $30.00 and notebooks that cost $3.00 each, we can calculate the total cost of the supplies as follows:

Let's assume that Randy needs n notebooks.

The total cost of the notebooks will be $3.00 * n.

The total cost of the headset and the notebooks will be $30.00 + $3.00 * n.

So the total cost of the supplies will be $30.00 + $3.00 * n, rounded to 2 decimal places.

Put the numbers in ascending order from smallest to largest, the minimum is the smallest number in the list, The maximum is the largest number in the list, The median is found in the middle of the list and the lower quartile is the median of the first half of the data.

A number is a numerical unit of measurement and labelling in mathematics.

The natural numbers 1, 2, 3, 4, and so on are the first examples.

Number words are a linguistic way to express numbers.

More commonly, specific numbers can be represented using symbols known as numerals; for instance, the numeral "5" stands in for the number five.

Basic numerals are frequently grouped in a numeral system, which is an ordered manner to represent any number, because only a small number of symbols can be learned.

The Hindu-Arabic numeral system, which enables the depiction of any number using a combination of ten basic numeric symbols, is the most widely used system of numeration.

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Answer: cos(L) = 0.3684

Step-by-step explanation:

To solve, we need to identify what its asking first.

It wants us to find the value of the cos L

We know that Cosine is equivalent to the [tex]\frac{adjacent}{hypotenuse}[/tex] sides.

We also know that Cos L is an angle.

If we look at the picture, we first need to locate where L is. Then we need to find the cosine of it.

The adjacent side to L is 7.

The hypotenuse is 19.

we can rewrite this information into an equation:

[tex]cos (L)=\frac{7}{19}[/tex]

Since it wants cos L value to the nearest hundredth, we will use a calculator to divide.

cos(L) = 0.3684

The complete conversion roadmap is: Volume (L) ----> volume (mL) ----> mass (g): 1 L * 1000 mL/L = 1000 mL * 1 g/mL = 1000 g

To convert the volume from liters to milliliters, we use the conversion factor of 1000 mL/L. This means that for every 1 liter, there are 1000 milliliters.

Volume (L) ----> volume (mL): 1 L * 1000 mL/L = 1000 mL

To convert volume to mass, we use the density of the substance, which is 1 g/mL. This means that for every 1 milliliter of the substance, it has a mass of 1 gram.

Volume (mL) ----> mass (g): 1000 mL * 1 g/mL = 1000 g

Therefore, the complete conversion roadmap is:

Volume (L) ----> volume (mL) ----> mass (g): 1 L * 1000 mL/L = 1000 mL * 1 g/mL = 1000 g

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Answer:

C. negative three halves

Step-by-step explanation:

Use two points on the line and slope equation to find the slope.

Let the points be (- 4, 4) and (-2, 1).

Then the slope is:

This is same as option C.

The length of WY  is 4.9.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

From two triangles the proportional sides are

11.1/5.55=8/4=9.8/WY

2=2=9.8/WY

So 2=9.8/WY

WY=9.8/2

WY=4.9

Hence, the length of WY  is 4.9.

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68.0389 convert 150 pounds to kilograms

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