Rationalize the denominator 2/root 3 - 1​

The conversion of 0.0088 gr/cm³ is 8.8 kg/m³

The full question is in the attachment. To change the unit of a quantity to another unit is to use the rules that apply to each unit. Rules on mass units

Rules on volume units

To convert units from gr/cm³ to kg/m³

1 gr/cm³ = 1 × 1 gr ÷ 1 cm³

1 gr/cm³ = 1 × 0.001 kg ÷ 0.000001 m³

1 gr/cm³ = 1 × 0.001 × 1,000,000 kg/m³

1 gr/cm³ = 1 × 1,000 kg/m³

1 gr/cm³ = 1,000 kg/m³

0.0088 gr/cm³ = 0.0088 × 1,000 kg/m³

0.0088 gr/cm³ = 8.8 kg/m³

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Comment: RMS value is equal to the average value. This means that the signal does not have any high-frequency content. It can be inferred that the function y(t) does not oscillate. When the RMS value is less than the average value, it means that the signal has a lesser amount of high-frequency content.

Average and rms values for the function y(t)=25+10sin6πt over the time periods (a) 0 to 0.1 s, (b) 0.4 to 0.5 s, (c) 0 to 1/3 s, and (d) 0 to 20 s are as follows:

a) For t=0 to t=0.1s:

Average value, y_avg = 25

RMS value, y_RMS = 25.1987

Comment: RMS value is greater than the average value. This means that the signal has a considerable amount of high-frequency content. It can be inferred that the function y(t) oscillates rapidly.

b) For t=0.4 to t=0.5s:

Average value, y_avg = 25

RMS value, y_RMS = 28.2843

Comment: RMS value is greater than the average value. This means that the signal has a considerable amount of high-frequency content. It can be inferred that the function y(t) oscillates rapidly.

c) For t=0 to t=1/3 s:

Average value, y_avg = 25

RMS value, y_RMS = 23.7176

Comment: RMS value is less than the average value. This means that the signal has a lesser amount of high-frequency content. It can be inferred that the function y(t) oscillates slowly.

d) For t=0 to t=20 s:

Average value, y_avg = 25

RMS value, y_RMS = 25

Comment: RMS value is equal to the average value. This means that the signal does not have any high-frequency content. It can be inferred that the function y(t) does not oscillate. Comment on the nature and meaning of the results in terms of analysis of dynamic signals.The results indicate that the function y(t) oscillates rapidly at the start and end of the time period and slowly in the middle. When the RMS value is greater than the average value, it means that the signal has a considerable amount of high-frequency content.

On the other hand, when the RMS value is less than the average value, it means that the signal has a lesser amount of high-frequency content.

Furthermore, if the RMS value is equal to the average value, it means that the signal does not have any high-frequency content.

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If the volume of any object is 1 cubic unit, then it has a volume of 1 cubic unit. Then the correct option is A.

A measure of volume is a standard instrument used to determine the volume or capacity of an item or place in three axes.

If the volume of any object is 1 cubic unit then this is called the cubic unit volume of that object.

The unit volume is given as

Volume = 1 cubic unit

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Answer:

The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.

Step-by-step explanation:

We are given:

Future value (A)=$25,000

Rate r =8% (0.08%)

Time t = 9

Compounded Annually n =1

We need to find:

Principal Amount (P) = ?

The formula used will be:

\(A=P(1+\frac{r}{n})^{nt}\)

Putting values and finding Principal Amount (P)

\(A=P(1+\frac{r}{n})^{nt}\\25000=P(1+\frac{0.08}{1})^{9*1} \\25000=P(1+0.08)^{9} \\25000=P(1.08)^{9} \\25000=P(1+0.08)^{9} \\25000=P(1.9990)\\P=\frac{25000}{1.9990}\\\mathbf{P=12506.25 }\)

So, The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.

Answer:

See attached image

Step-by-step explanation:

If we cut off a square from each corner of a sheet of paper of size (L x W =11" x 8") and each square has a side of a" then overall length and width are each reduced by 2a"

The height is the same as the square side

So for each entry, subtract 2 x side length from both the height and width and then compute the volume.

See attached image for solution

IMPORTANT NOTES
The general rule for computing length and width for a cutout of side x is

Length = 11 - 2x, Width = 8.5 - 2x and Height =x

This is the last row in the table

The volume would be
( 11 - 2x) (8.5 - 2x) (x) = 4x³ -  39x² + 93.5x

!!!Some of the already filled-in entries appear to be incorrect!!
The filled in numbers relating to Width for cut-out size of 3 inches and 4 inches do not follow the above pattern. Everything else looks OK. You may want to check your calculations. These affect the volume also. I have indicated these by putting two question marks in red

For cutout = 3 in, Length = 5 and height = 3 (both OK but width should be 8.5 - 2 x 3 = 8.5 - 6 = 2.5.
Then volume = 5 x 2.5 x 3 = 37.5 in³

For cutout = 4 in, Length = 3 and height = 4 (both OK but width should be
8.5 - 2 x 4 = 8.5 - 8 = 0.5 in
Volume = 3 x 0.5 x 4 = 6 in³

Please double-check these two row entries for width and volume. Or ask your teacher if he/she already filled them in for you.

I cannot find a logical reason for these two width values being inconsistent with the rest of the values for width

Hope that helps

Answer:

The first line

Step-by-step explanation:

The pair of line plots that best supports the statement, “Students in activity B are older than students in activity A” is line plot A.

A line plot, also known as a line graph, is a graphical representation of data that uses a series of data points connected by straight lines. It is used to show how a particular variable changes over time or another continuous scale.

Line plots are useful for showing trends and patterns in data over time. They are often used in scientific research, economics, and finance to track changes in variables such as stock prices, population growth, or temperature

In this case, we can see that B has more people that are older than A

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The value of x in the equation 1/4(4 + x) = 4/3 is x = 4/3.

Multiply both sides of the equation by 4 to eliminate the fraction on the left-hand side:

1/4(4 + x) = 4/3

4 * 1/4(4 + x) = 4 * 4/3

Simplifying:

4 + x = 16/3

Subtract 4 from both sides of the equation:

4 + x - 4 = 16/3 - 4

Simplifying:

x = 16/3 - 12/3

x = 4/3

A fraction is a mathematical concept used to represent a part of a whole or a ratio between two quantities. It is typically written in the form of a numerator (top number) over a denominator (bottom number), separated by a horizontal line. For example, the fraction 1/2 represents one out of two equal parts, or half of a whole. Similarly, the fraction 3/4 represents three out of four equal parts, or three-quarters of a whole.

Fractions are an essential part of mathematics and are used in a wide range of applications, including measurements, cooking, and financial calculations. They can be added, subtracted, multiplied, and divided just like whole numbers, but they require a bit more care in their manipulation due to their unique structure.

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Answer:

The question is incomplete

Given:

Let's find the height of the ball, y, when:

t = 2 seconds

h = 20 ft

v = 72 ft/s

Plug in the values in the equation and solve for y.

We have:

Therefore, the height of the ball is 100 ft.

ANSWER:

100 ft.

Answer: 100ft

If
t = 2 seconds
h = 20 ft
v = 72 ft/s

Then the answer from the question has to be

100ft

There are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

1. First we need to identify the total number of seats in the lecture hall which is 200.

2. Then we need to identify the number of seats with folding arm tablets that are designed for wheelchair users which is 30.

3. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats.

4. Therefore, 200 - 30 = 170, which means there are 170 seats with folding arm tablets that are not designed for wheelchair users.

The lecture hall in question has a total of 200 seats, with 30 of those seats having folding arm tablets that are designed for wheelchair users. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats. This means that 200 - 30 = 170, which means there are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

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We are asked to simply the following polynomial

Let us find the product of the above polynomial and simplify it

Therefore, the simplified polynomial is

The degree of a polynomial is the highest exponent (power)

For the given case, the highest exponent is 2

Therefore, the degree

The probability that a continuous random variable equals any of its values is called Continuous probability distribution.

Continuous probability distribution:

A probability distribution in which the random variable X can take on any value (which is continuous). Since there are infinitely many possible values ​​for X, the probability that X takes on any particular value is zero. So we often talk about a range of values ​​[p(X >0] = 0.50).

An absolutely continuous probability distribution is a probability distribution of real numbers with an uncountable set of possible values, such as the full interval of a solid line, where the probability of any event can be expressed as an integral. More precisely, there exists a function f: R − [0, so that for each interval[ 0,∞] ⊂ R, the probability that X belongs to [a, b] is given by the integral of f over I.

\(P(a\leq X\leq b) = \int\limits^a_b {f(x)} \, dx\)

Since this is the definition of a probability density function, an absolutely continuous probability distribution is exactly equivalent to a probability density function. In particular, the probability that X takes any single value a (i.e. a≤X≤b) is zero because integrals with the same upper and lower bounds are always zero. If the interval [a, b] is replaced by the measurable set A, then the equivalence remains valid.

P(X ∈ A) = \(\int\limits^a_b {f(x)} \, dx\)

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Given:

In the given cone,

Radius of the cone = 7.2 m

Slant height of the cone = 17 m

To find:

The surface area of the cone.

Solution:

The surface area of a cone is:

\(A=\pi rl+\pi r^2\)

Where, r is the radius of the cone and l is the slant height of the cone.

Putting \(\pi=3.14,\ r=7.2,\ l=17\) in the above formula, we get

\(A=(3.14)(7.2)(17)+(3.14)(7.2)^2\)

\(A=384.336+162.7776\)

\(A=547.1136\)

\(A\approx 547.11\)

Therefore, the surface area of the given cone is 547.11 square m.

Answer: 3/4 *3/4 *3/4 = 27/64 this is the proabability that is DOES snow every day. 1-27/64 = 37/64 this is the proabability that is DOES NOT snow EVERY day. 1/(4^3) = 1/64 IS the probability that is does not snow AT ALL for the 3 days.

Step-by-step explanation:

Answer: 348

Step-by-step explanation:

Given : Total employees work = 725

Proportion of employees are post graduate = 52%

Proportion of employees are not post graduate = 100%-52% = 48%

The number of employees were not post graduate  = 48% of 725

= 0.48 x  725

= 348

Hence, the number of employees were not post graduate  = 348

Answer:

x = 4/3 + t

y = -1/3 - 2t

z = 4/3 - t

Step-by-step explanation:

The given line can be represented by the vector equation:

r = <1, 1, 0> + t<1, -1, 2>

We can find a vector that is perpendicular to this line by taking the cross product of the direction vector <1, -1, 2> with any other vector. Let's choose the vector <1, 0, 0> for this purpose:

n = <1, -1, 2> x <1, 0, 0> = <-2, -1, -1>

Now we have a normal vector n = <-2, -1, -1> to the line we want to find. We can use this vector and the given point (0, 1, 2) to find the equation of the plane that contains the line we want to find:

-2(x-0) - (y-1) - (z-2) = 0

-2x - y - z + 3 = 0

This plane intersects the given line when they have a point in common. To find this point, we can solve the system of equations:

-2x - y - z + 3 = 0

x - y = 1

z = 2t

From the second equation, we get x = t+1 and y = t. Substituting these into the first equation, we get:

-2(t+1) - t - 2t + 3 = 0

t = -1/3

Therefore, the point of intersection is (4/3, -1/3, 4/3). This point lies on both the line and the plane, so it is the point we need to use to find the parametric equations of the line we want to find.

Let's call the point we just found P. We can find the direction vector of the line we want to find by taking the cross product of the normal vector n with the vector from P to the point on the given line:

d = <-2, -1, -1> x <4/3-1, -1/3-1, 4/3-2> = <1, -2, -1>

Therefore, the parametric equations of the line we want to find are:

x = 4/3 + t

y = -1/3 - 2t

z = 4/3 - t

Answer:

Answer is A

Step-by-step explanation:

If you look at the scatter plot you see two clusters that make up most of the plot however there are multiple dots outside the clusters with act as outliers.

When the strata is not proportional to the population, it is called disproportionate stratified sampling.

The sampling method used in this case is a stratified sampling method. What is Stratified Sampling? Stratified sampling is a type of probability sampling in which a population is divided into subgroups or strata based on a certain criterion. It is used to ensure that the sample drawn is representative of the population as a whole. When the strata is proportional to the population, it is called proportionate stratified sampling, and Here are the steps followed in this process: Divide the population into strata based on some criterion relevant to the research question. Identify the sample size required from each stratum based on its proportion to the population. Draw a random sample from each stratum to arrive at the final sample.

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Answer:

the answer is 4

Step-by-step explanation:

1. I based my decision on allocating points to maximize my own score, while also considering the potential benefits of contributing to the group fund.

2. The best outcome for me would be allocating the minimum points required to the GIVE account, while putting the majority in the KEEP account. This would ensure I receive the most points for myself.

3. The best outcome for the group would be if both participants maximized their contributions to the GIVE account. This would create the largest group fund, resulting in the most redistributed points and highest average score.

4. There are parallels with risk management strategies. Individuals may act in their own self-interest, but a larger group benefit could be achieved if more participants contributed to "group" risk management strategies like vaccination, safety protocols, insurance policies, etc. However, some individuals may free ride on others' contributions while benefiting from the overall results. Incentivizing group participation can help align individual and group interests.

The average of the table is 4 and the standard deviation is 1.1547.

The average of the table is calculated using the formula (Sum of all data points) / (Number of data points). In the given table, the average is (2 + 5 + 3 + 4 + 6 + 4 + 3) / 7 = 4.

The standard deviation is calculated using the formula (Sum of Squared Differences / (Number of Data Points -1))1/2. In the given table, the standard deviation is ((\(2-4^{2}\)+ \(5-4^{2}\) +\(3-4^{2}\) + \(4-4^{2}\) + \(6-4^{2}\) + \(4-4^{2}\) + \((3-4)^{2}\) / (7-1))1/2 = 1.1547.

Therefore, the average of the table is 4 and the standard deviation is 1.1547.

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Answer:

This team can form 400 pretzels in one hour

Step-by-step explanation:

How many pretzels in 9 minutes?

5(12)=60

Solve as proportion

60 pretzels = 9 minutes

x    pretzels = 60 minutes

60(60)=9x

3600=9x

Divide both sides by 9

x= 400 pretzels

This team can form 400 pretzels in 1 hour

Answer:

this team can form 30 pretzels in 1 hour

Step-by-step explanation:

60 minutes are in a hour, and 60 divided by 9 is 6.6. So that means you would have to use 6. So 9 x 6 equals 54. Now do 5 x 6 and that would equal 30.

Answer:

A and B

Step-by-step explanation:

Answer:  10

Step-by-step explanation:

20% is 10% of 50 % because you /   100 in half and 20 in half and it's the same thing the answer is 10, my guy.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.T

o find the value of x, follow these steps:

Step 1: Add the given probabilities.
(5/12) + (1/12) + (1/4) = (5/12) + (1/12) + (3/12) = (9/12)

Step 2: Since the probabilities must add up to 1, subtract the sum of the given probabilities from 1.
1 - (9/12) = (12/12) - (9/12) = 3/12

Step 3: Simplify the fraction, if necessary.
3/12 can be simplified to 1/4 by dividing both the numerator and denominator by 3.

So, the value of x is 1/4.

Your answer: A. 1/4

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Answer:1/2 y

Step-by-step explanation:

We can solve this using ration reasoning:  

x

2

x

1

=

y

2

y

1

Explanation:

If  

x

varies directly with  

y

(written  

x

∝

y

), then doubling  

y

means doubling  

x

, so the rations of final values and initial values will be the same:

x

2

x

1

=

y

2

y

1

In this case,

x

2

9

=

24

18

x

2

=

9

⋅

24

18

=

12

Or, intuitively, if  

x

∝

y

and  

x

=

9

when  

y

=

18

, we can conclude that

x

=

1

2

y

and  

1

2

of 24 is 12.

Answer:

  circumcenter

Step-by-step explanation:

You want to know the name of the point equidistant from the vertices of a triangle.

The circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.

The point equidistant from the vertices of a triangle is the circumcenter.

__

Additional comment

The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.

In order to evaluate the expression, we must first understand the order of operations. The ^ symbol indicates an exponential, which takes precedence over division. the expression.343 ^ { 4 / 3 } is 7,625

In order to evaluate the expression, we must first understand the order of operations. The ^ symbol indicates an exponential, which takes precedence over division. Therefore, we will first calculate 343^4 and then divide the result by 3. 343^4 = 7,741,675. 7,741,675 divided by 3 is equal to 2,580,558.33. When rounded to the nearest whole number, the answer is 7,625.The expression 343^ {4/3} can be broken down into 343 to the power of 4 divided by 3. Before we evaluate the expression, we must understand the order of operations. The ^ symbol indicates an exponential, which takes precedence over division. Therefore, we will first calculate 343^4 and then divide the result by 3. 343^4 can be calculated using the formula 343 x 343 x 343 x 343. This results in 7,741,675. 7,741,675 divided by 3 is equal to 2,580,558.33. When rounded to the nearest whole number, the answer is 7,625.

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