Carpenters laid a layer of insulation 6 inches thick to cover a rectangular attic floor that was 32 feet long and 20 feet wide. What was the volume, in cubic feet, of the insulation used to cover the floor?

Answer:

m<E = \(77^{o}\)

Step-by-step explanation:

From the diagram, ΔACE and ΔBDE are similar. So that comparing its angles, we have;

(8x + 4) = (9x - 5)

8x + 4 = 9x - 5

5 + 4 = 9x - 8x

x = 9

Thus,

(8x + 4) = 8(9) + 4 = 76

(9x - 5) = 9(9) - 5 = 76

3x = 3(9) = 27

From ΔACE,

3x + (8x + 4) + m<E = 180 (sum of angles in a triangle)

27 + 76 + m<E = 180

m<E = 180 - 103

m<E = \(77^{o}\)

Answer:

No. It is not possible to construct a triangle with lengths of its sides 4cm, 5cm and 9cm because the sum of two sides is not greater than the third side:

5 + 4 is not greater than 9.

Step-by-step explanation:

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The statement "The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is 1/(a-b)" is False.

In a uniform distribution, the probability density function (PDF) is constant within the interval [a, b]. The height of the PDF represents the density of the probability distribution at any given point within the interval. Since the PDF is constant, the height remains the same throughout the interval.

To determine the height of the PDF, we need to consider the interval length. In a uniform distribution defined on the interval [a, b], the height of the PDF is 1/(b - a) for the PDF to integrate to 1 over the entire interval. This means that the total area under the PDF curve is equal to 1, representing the total probability within the interval [a, b].

Therefore, the correct statement is that the height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is not 1/(a - b), but rather it is a constant value necessary for the PDF to integrate to 1 over the interval, i.e., 1/(b - a).

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Answer:

C

Step-by-step explanation:

Answer:

10x - 3.

Step-by-step explanation:

(4x - 5) + 2(3x + 1)

4x - 5 + 6x + 2.

4x + 6x - 5 + 2.

10x - 3.

Answer:

565

Step-by-step explanation:

18-53=-35

-35+6=-29

18-2=16

16+-29=-13

-13+578=565

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The cosine function has period 2π. This means that if we add or subtract 2π to any value of θ, the cosine of the new value will be the same as the cosine of the original value.

For example, if θ = π/3, then cosθ = −1/2. If we add 2π to π/3, we get 5π/3. The cosine of 5π/3 is also −1/2. This is because the cosine function has a period of 2π.

We can use this property to find all the values of θ, 0≤θ≤2π, for which cosθ=−1/2. We start by finding the smallest positive value of θ for which cosθ=−1/2. This value is π/3.

We can then find all the other values of θ by adding 2π to π/3. These values are 5π/3, 7π/3, 9π/3, and so on.

Therefore, the values of θ, 0≤θ≤2π, for which cosθ=−1/2 are π/3, 5π/3, 7π/3, 9π/3, and so on.

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Answer:

Step-by-step explanation:

Given the expression \(\frac{720,800}{x} = 7.208\), we are to find the value of with powers of 10.

From the equation:

\(\frac{720,800}{x} = 7.208\)

cross multiply

\(720,800 = 7.208x\\7.208x = 720,800\)

divide both sides by 7.208

\(\frac{7.208x}{7.208} = \frac{720,800}{7.208} \\x = 100,000\)

express x in powers of 10

\(x = 10 * 10 * 10 * 10* 10\\x = 10^5\)

Similarly given the equation \(\frac{720,800}{y} = 72.08\)

From the equation:

\(\frac{720,800}{x} = 72.08\)

cross multiply

\(720,800 = 72.08x\\72.08x = 720,800\)

divide both sides by 7.208

\(\frac{72.08x}{72.08} = \frac{720,800}{72.08} \\x = 10,000\)

express x in powers of 10

\(x = 10 * 10 * 10 * 10\\x = 10^4\)

For the equation \(\frac{720,800}{z} = 720.8\)

From the equation:

\(\frac{720,800}{z} = 720.8\)

cross multiply

\(720,800 = 720.8z\\720.8z = 720,800\)

divide both sides by 7.208

\(\frac{72.08z}{720.8} = \frac{720,800}{720.8} \\z = 1,000\)

express x in powers of 10

\(z = 10 * 10 * 10\\z = 10^3\)

The dividing 720,800 by 101010 successively four times in the parentheses results in 720.8

To complete the equations using powers of 101010:

720,800 ÷ (720,800 ÷ 720,800) = 7.208 = 7.208 equals 7.208

Explanation: Dividing 720,800 by 720,800, and then dividing the result by 720,800, yields 7.208.

720,800 ÷ (720,800 ÷ (720,800 ÷ 101010)) = 72.08 = 72.08 equals 72.08

Explanation: Dividing 720,800 by 101010, and then dividing 720,800 by the result, and finally dividing 720,800 by the new result, gives us 72.08.

720,800 ÷ (720,800 ÷ (720,800 ÷ (720,800 ÷ 101010))) = 720.8 = 720.8 equals 720.8

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Answer:

A. It increased the number of molecular collisions.

Answer:

59

Step-by-step explanation:

Answer:

Rhombuses

Step-by-step explanation:

It has four vertical lines, then draw a Venn Diagram, opposite to opposite.

Order from Venn Diagrams:

Quadrilaterals

Rectangles

Squares

Rhombuses.

The Equation of line -

The slope intercept form of a line is given by -

y = mx + c

m is the slope of line

c is the y - intercept

Given is a line that passes through the point (3, 10) and in case [1] is parallel to line y = x - 1 and in case [2] is  perpendicular to y = x - 1.

Case 1 -  Line is parallel to the line y = x - 1

Assume that the equation of line is -

y = mx + c

Since, the line is parallel, both lines will have same slope and is given by -

m = 1

Since, the line passes through the point (3, 10) we can write -

10 = 1 x 3 + c

c = 7

We can write the equation of line parallel to line y = x - 1 as -

y = x + 7

Case 2-  Line is perpendicular to the line y = x - 1 -

Assume that the equation of line is -

y = mx + c

Since, the line is perpendicular, the product of slopes of both lines will be equal to 1. The slope (m) of the line will be -

m x 1 = -1

m = -1

Since, the line passes through the point (3, 10) we can write -

10 = -3 + c

c = 13

We can write the equation of line perpendicular to line y = x - 1 as -

y = - x + 13

Therefore, the equation of line -

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Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The algebraic expression equivalent to 3(8π + 12) + 3 is 24π + 39. To find the algebraic expression that is equivalent to 3(8π + 12) + 3, we can simplify the expression by distributing the 3 to both terms .

By distributing inside the parentheses and then combining like terms.

First, let's distribute the 3 to each term inside the parentheses:

3(8π + 12) + 3 = 3 * 8π + 3 * 12 + 3.

Next, we can simplify each multiplication:

3 * 8π = 24π,

3 * 12 = 36.

Now, we can rewrite the expression with the simplified terms:

3(8π + 12) + 3 = 24π + 36 + 3.

Finally, we combine the like terms:

24π + 36 + 3 = 24π + 39.

Therefore, the algebraic expression equivalent to 3(8π + 12) + 3 is 24π + 39.

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The smallest number of coins you could have had before finding the bag of 53 coins is 371. which is more than 200.

There are seven bags, so there are 7x coins in total:

7x = T.

Since the number of coins in each bag must be an integer, (T + 53) must be a multiple of 8. We know that T = 7x, so we can write this as follows:

(7x + 53) ≡ 0

(mod 8)This means that 7x ≡ 3 (mod 8).

The solutions to this congruence are

x ≡ 3, 11 (mod 8).

Since x is a positive integer, we take

x = 11

(the other possibility, x = 3,

leads to a smaller value for T).

Therefore, T = 7x = 77, and the total number of coins after the bag of 53 coins is found is

T + 53 = 130.

After redistributing the coins into eight equal bags, each bag contains 16 coins.

Therefore, the number of coins you had initially was

7x = 77,

so the smallest number of coins you could have had before finding the bag of 53 coins is

77 - 53 = 24.

After redistributing the coins, you had

8 × 16 = 128 coins left,

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Heart sounds are produced when blood flows through the heart chambers as the cardiac valves open and close during the cardiac cycle. The blood flow causes these structures to vibrate, and the more turbulent the blood flow, the more vibrations are produced.

A specific type of bodily fluid is blood. Plasma, red blood cells, white blood cells, and platelets help compensate its four main parts. One of the many functions blood does is delivering nutrients and oxygen to the lungs and other tissues. Using blood clotting to stop significant blood loss Your blood is made up of liquids and solids. Plasma, the body's liquid component, is composed of water, ions, and protein. Your blood contains more than 50% plasma. Your blood's solid component is made up of red blood cells, white blood cells, and platelets. Red blood cells transport oxygen from your lungs to our tissues and organs (RBC).

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The cost of each nachos is $2.50 and the cost of each water bottle is $1.50.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Let x be the cost of each water bottle and y be the cost of each nachos.

Two bottled water and an order of cheese nachos costs $5.50.

So, 2x+y=5.50 -------(I)

Three bottled water and two orders of cheese nachos costs $9.50​

3x+2y=9.50 -------(II)

Multiply equation (I) by 2, we get

4x+2y=11 -------(III)

Subtract equation (II) from equation (III), we get

4x+2y-(3x+2y)=11-9.50

x=$1.50

Substitute x=1.50 in equation (I), we get

2(1.50)+y=5.50

y=$2.50

Therefore, the cost of each nachos is $2.50.

The probability that more boys than girls are chosen is 0.4731. So option b is correct.

Combination:

The act of combining or the state of being combined. A number of things combined: a combination of ideas. something formed by combining: A chord is a combination of notes. an alliance of persons or parties: a combination in restraint of trade.

Here it is given that there are 18 boys and 19 girls and 5 students are chosen.

We have to find the probability that more boys than girls are chosen.

Probability = \(C^{5} _{18}\) + \(C^{4}_{18} C^{1} _{19}\) + \(C^{3} _{18} C^{2} _{19}\) / \(C^{5}x_{37}\)

                  = 8568 + 58140 + 139536 / 435897

                  ≈ 0.4731

Therefore the probability is 0.4731.

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Answer:

Step-by-step explanation:

\(c^{2}+b^{2} = (4+a)^2 \\c = \sqrt{6^2+4^2}\\ c = \sqrt{36+16}\\ c = \sqrt{52} \\c^2 = 52\\a^2 + 6^2 = b^2\\\\52 + a^2 + 36 = 16 + a^2 + 8a\\ 8a = 72\\a = 9\)

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We are given that the inside diameter of a piston ring is a random variable with mean value 10 cm and standard deviation 0.07 cm.

We are asked to find the sampling distribution of the sample mean diameter for two different random samples of n=16 and n=64 piston rings, respectively, and to calculate the standard deviation of each sampling distribution.

The sampling distribution of the sample mean diameter is the distribution of all possible sample means that could be obtained from a given sample size n.

The central limit theorem tells us that for large enough sample sizes (typically n ≥ 30), the sampling distribution of the sample mean is approximately normal, regardless of the shape of the underlying population distribution.

The mean of the sampling distribution of the sample mean is equal to the population mean, and the standard deviation of the sampling distribution is equal to the population standard deviation divided by the square root of the sample size.

For the first random sample of n=16 piston rings, the center of the sampling distribution of the sample mean diameter is still 10 cm, as this is the population mean.

However, the standard deviation of the sampling distribution is equal to the population standard deviation of 0.07 cm divided by the square root of 16, which is 0.0175 cm. Therefore, the standard deviation of the sampling distribution of the sample mean diameter for the first random sample is 0.0175 cm.

For the second random sample of n=64 piston rings, the center of the sampling distribution of the sample mean diameter is still 10 cm, but the standard deviation of the sampling distribution is equal to the population standard deviation of 0.07 cm divided by the square root of 64, which is 0.00875 cm.

Therefore, the standard deviation of the sampling distribution of the sample mean diameter for the second random sample is 0.00875 cm.

Finally, we are asked which of the two random samples is more likely to have a sample mean diameter within 0.01 cm of 10 cm. Since the standard deviation of the sampling distribution of the sample mean decreases as the sample size increases, the second random sample of n=64 piston rings is more likely to have a sample mean diameter within 0.01 cm of 10 cm.

This is because the decreased variability of the sampling distribution means that the sample means are more tightly clustered around the population mean of 10 cm. Therefore, we can conclude that the second random sample is more precise than the first random sample.

In statistics, a random sample is a subset of a larger population that is selected in such a way that each member of the population has an equal chance of being included in the sample.

Random sampling is a crucial tool for drawing conclusions about a population based on a smaller subset of data. In this problem, we will explore the sampling distribution of the sample mean for two different random samples of piston rings.

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ml = 0 is valid so the sets of quantum numbers are validated or not validated as mentioned above.

Here are the given sets of quantum numbers for the hydrogen atom which need to be validated.

Set 1 (n=3, l=3, ml=0, ms=+1/2) - Valid or Not valid

Set 2 (n=2, l=1, ml=1, ms=-1/2) - Valid or Not valid

Set 3 (n=4, l=1, ml=0, ms=-1/2) - Valid or Not valid

The first step is to understand the set of quantum numbers. Each electron in an atom is assigned a set of four quantum numbers.

The four quantum numbers are: n, l, ml, and ms. The principal quantum number n, the angular momentum quantum number l, the magnetic quantum number ml, and the spin quantum number ms are the four quantum numbers that define the electron's state.

Set 1 (n=3, l=3, ml=0, ms=+1/2)

It is not valid because ml can be from -l to +l, and when l is 3, ml can be -3,-2,-1,0,1,2,3. So, the value of ml should be from -3 to +3.

Set 2 (n=2, l=1, ml=1, ms=-1/2)

It is valid because l = 1, so ml can be -1,0,1. Therefore, ml = 1 is valid.

Set 3 (n=4, l=1, ml=0, ms=-1/2)

It is valid because l = 1, so ml can be -1,0,1. Therefore, ml = 0 is valid.

Thus, the sets of quantum numbers are validated or not validated as mentioned above.

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Answer:

-262

Step-by-step explanation:

Given sequence is: 33, 28, 23, 18...

First term a = 33

Common Difference d = 28 - 33 = - 5

To find: \( t_{60}\)

By nth term of an AP.

\(t_n = a + (n - 1)d \\ t_{60} = 33 + (60- 1)( - 5) \\ t_{60} = 33 + 59( - 5) \\ t_{60} = 33 - 295\\ t_{60} = - 262\\ \)

Algorithm Il always works correctly, but Algorithm I only works correctly when the maximum value is greater than or equal to - 1

=====================================================

Explanation:

Let's say we have the data set {-4,-3,-2}. The value -2 is the largest.

If we follow algorithm 1, then the max will erroneously be -1 after all is said and done. This is because the max is set to -1 at the start even if -1 isn't in the data set. Then we see if each data value is larger than -1.

Each statement being false means we do not update the max to its proper value -2. It stays at -1.

This is why we shouldn't set the max to some random value at the start.

It's better to use the some value in the data set to initialize the max. Algorithm 2 is the better algorithm. Algorithm 1 only works if the max is -1 or larger.

Answer:

The answer is x-8-4/x+2.

Step-by-step explanation:

I'm certain this is correct since I factored and have done everything required.

Responder:

27 de enero

Horas de visita al abuelo antes de que coincida el horario = 1 vez

Horas de visita a Sofía antes de que coincida el horario = 2 veces

Explicación paso a paso:

Para obtener la hora en la que coincidirá su visita, obtenemos la L. C. M de 12 y 8

Abuelos (cada 12 días)

12:12, 24, 36, 48, 60, ...

Sofia (cada 8 días)

8: 8, 16, 24, 32, 40, ....

El mínimo común múltiplo de 12 y 8 es 24.

De ahí que su encuentro vuelva a coincidir a los 24 días.

3 de enero + 24 días = 27 de enero

Horas de visita al abuelo antes de que coincida el horario = 1 vez

Horas de visita a Sofía antes de que coincida el horario = 2 veces

Answer:

of course it would be 45

Step-by-step explanation:

it right trusss

Answer:

1:55

Step-by-step explanation:

3:40 - 1:45= 1:55

Answer:

it should be the 2 second one

Step-by-step explanation:

Answer:

B. Line segment CD is congruent to Line segment XY

Step-by-step explanation:

4(5) + 5(6) - (-4/-2)

.

just to help keep the signs straight, but there is nothing wrong with the way you did it.

.

Now you can just start simplifying ... term by term. Multiply the 4 times the 5 and you get:

.

20 + 5(6) - (-4/-2)

.

Then multiply the 5 times the 6:

.

20 + 30 - (-4/-2)

.

Next divide the terms in the parentheses. -4 divided by -2 is +2 and you have:

.

20 + 30 - (+2)

.

When you remove parentheses preceded by a minus sign, you change the signs of the terms

inside the parentheses. So - (+2) becomes -2 when the parentheses are taken out and the

expression becomes:

.

20 + 30 - 2

.

Now add the three terms and the result is +48

.

Hope this clarifies the problem for you. Good job ...

.

Answer:

\(x = 1.3788\)

Step-by-step explanation:

Use the sin rule

\(Sin (50) = \frac{Q}{H} \\0.7660=\frac{x}{1.8} \\x=0.7660 *1.8\\x = 1.3788\)

Hope this helps you..

Let me know if you have any other questions :-)