Under what conditions will the volume of liquid in a process tank be constant? O a. If the liquid level in the tank is controlled by a separate mechanism O b. If the process tank is filled to full capacity and closed O c. If the process tank has an overflow line at the exit Od. If any of the other choices is satisfied

Answer:

8

Step-by-step explanation:

100 - 60 = 40

40 - 20 = 20

20 - 12  = 8

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60 + 20 + 12=92

so, 100-92 is 8

therefore 8 are in neither the band nor the orchestra

Step-by-step explanation:

9514 1404 393

Answer:

  can't be done. x = 6, not 36

Step-by-step explanation:

Without the diagram we must speculate that the 150 cm length is the hypotenuse. Then we have ...

  150² = (7x)² +(24x)² = (49 +576)x² = 625x² . . . . Pythagorean relation

  150²/625 = x² = 36 . . . . . divide by 625

  x = √36 . . . . . . . . . . . take the square root

  x = 6

Answer:

Step-by-step explanation:

What we do is to divide 1500 by 4 = $1500/4 = $375

Answer:375

Step-by-step explanation:

1500/4=375

Answer:

1) The vertex form of the function reveals the highest point:

h(t)=-2(t-1)^2+32

2) At its highest point, the squirrel was 32 meters above the ground.

Explanation:

took the dumb quiz

The vertex format of the given equation so that the answer appears as a number in the equation is \(h(t) = -2(t-1)^2+32\) and at its highest point, the squirrel is 32 meters above the ground.

Given :

1) Write the given equation in vertex formate so that the answer appears as a number in the equation.

\(h(t) = -2t^2+4t+30\\h(t) = -2(t^2-2t-15)\\h(t) = -2(t-1)^2+32\)

2) From the above equation it can be concluded that at its highest point, the squirrel is 32 meters above the ground.

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A pyramid with a square base has a volume of 1682.64 cubic meters.

A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter. The perimeter of a shape is the distance around its edge. A shape's perimeter is always computed by summing the lengths of each of its sides. The perimeter of a thing is the distance surrounding it. Your house, for example, has a fenced-in yard. The perimeter of the barrier is its length.

Here,

side=16.7 m

volume=1/3*16.7²*18.1

=1/3*5047.909

=1682.64 m³

The volume of a pyramid with a square base is 1682.64 m³.

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Answer:

x = 12.

Step-by-step explanation:

There are 5 numbers so the total of the numbers

= mean * 5

= 25.

Now

4 + 3 + 3 + 3 + x = 25

So

13 + x = 25

x = 25 - 13 = 12.

The value of x is 12.

To find the value of x, we can set up an equation using the given information.

The mean (average) of the numbers 4, 3, 3, 3, and x is 5.

The sum of these numbers is (4 + 3 + 3 + 3 + x).

The mean is calculated by dividing the sum by the number of values, which in this case is 5.

So, we can write the equation as:

(4 + 3 + 3 + 3 + x) / 5 = 5

To solve for x, we can start by multiplying both sides of the equation by 5 to get rid of the fraction:

4 + 3 + 3 + 3 + x = 5 * 5

Simplifying the right side:

4 + 3 + 3 + 3 + x = 25

Now, we can combine the terms on the left side:

13 + x = 25

Next, we'll isolate x by subtracting 13 from both sides:

x = 25 - 13

Simplifying:

x = 12

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Answer:

$329.36

Step-by-step explanation:

Multiply the price by 1.0625 to find the total cost:

309.99(1.0625)

= $329.36

Using the elimination method, the price of one t-shirt is $30 and one key-chain is $11.

In the given question, Elizabeth's family went to NYC for their vacation.

At the gift shop on Liberty Island, Valerie bought three t-shirts and four key chains for $134, and Jennifer bought four t-shirts and five key chains for $175.

We have to find the price of each item.

Let the price of one t-shirt = $x

Let the price of one Key chain = $y

According to question

Price of three t-shirts and four key chains = $134

So the equation is

3x + 4y = $134……………….(1)

Also,

Price of four-shirts and five Key chains = $175

So the equation is

4x+5y = $175……………………..(2)

Now solving the equation using the elimination method.

Multiply Equation (1) by 5 and Equation (2) by 4, we get

15x+20y = 670....................(3)

16x+20y = 700......................(4)

Subtract equation 4 and 3, we get

x = 30

Now put the value of x in equation 1,

3*30 + 4y = $134

90+4y=$134

Subtract 90 on both side, we get;

4y = 44

Divide by 4 on both side, we get;

y = 11

Hence, the price of one t-shirt is $30 and one key-chain is $11.

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All the possible values of a must be less than 3.75 excluding values from 3 and below

Inequalities are expressions that are not separated by an equal sign

Since we are not given the required inequality expression, Let us assume the equation below:

10 - 5a > -a

Add 5a to both sides

15 - 5a + 5a > -a + 5a

15 > 4a

4a<15

a < 15/4

a<3.75

Since the value of a is less than 3.75, hence all the possible values of a must be less than 3.75 excluding values from 3 and below.

NB: The inequality expression was assumed, the same concept can be applied to any other expression

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I WILL USE THE LAWS OF EXPONENTS WHEN WE MULTIPLY POWERS OF THW SAME BASES WE KEEP ONE POWER AND ADD THE EXPONENTS.

\( = 7^{ - 5} \times 7^{2} \\ = {7}^{ - 5 + 2} \\ = {7}^{ - 3} \\ = \frac{1}{ {7}^{3} } \\ = \frac{1}{343} \)

ATTACHED IS THE SOLUTION

The inequality that represents the set of solutions above the straight line is: x-3y<5

What is a linear inequality?

A linear inequality is an inequality in which one side is a linear expression in one or more variables, and the other side is a constant, or another linear expression. The solution set of a linear inequality is a region in the coordinate plane that satisfies the inequality.

Calculate the inequality to represent the set of solution by shaded region:

A linear inequality can be represented by a shaded region on the coordinate plane. The boundary of the region is a straight line, and the shaded region represents all the points in the plane that satisfy the inequality. In this case, the line that intersects the x-axis at (5,0) and the y-axis at (0, -5/3) represents the boundary of the region.

To find the inequality that represents the set of solutions above the line, we first need to find the equation of the line. We can use the point-slope form of the equation of a line, which relates the slope of the line and a point on the line to the equation of the line.

We know that the line passes through the points (5,0) and (0, -5/3), so we can calculate the slope of the line by using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the two points through which the line passes.

m = (-5/3 - 0) / (0 - 5) = 1/3

Now we can use the point-slope form of the equation of the line to write the equation of the line:

y - y1 = m(x - x1)

where (x1, y1) is one of the two points through which the line passes.

Using the point (5,0) as (x1, y1), we get:

y - 0 = (1/3)(x - 5)

y = (1/3)x - 5/3

3y = x - 5

To represent the set of solutions above the line, we need to use the greater than symbol. So the inequality that represents the set of solutions above the straight line is:

x-3y<5

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Given someone interested in reading, the individual will more likely take an interest in playing board games.

This can be referred to as the rate in which an event occurs over a given period of time and is usually dependent on certain factors based on the subject involved.

The relative frequency of people who love reading but dislike board game is 25/73 while the relative frequency of those who like either of them is 48/73.

Since the ratio 48/73 is greater than 25/73 then the individual will more likely take an interest in board games.

This therefore makes board games the most appropriate choice in this type of scenario.

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Answer:

7,295.16

Step-by-step explanation:

A=p(1+i/m)^mn

A=9,500×(1+0.04÷4)^(4×3)

A=10,704.84

The balance she needs

18,000−10,704.84

=7,295.16

If the data is symmetrical, then the mean is the best measure of central tendency to use, and the standard deviation is the best spread to use.

If the data is asymmetrical, the median is the best measure of central tendency to use, and the inter-quarterly range is the best spread to use.

A histogram for symmetrical data will give a symmetrical shape, and the mean, median and mode will all be the same value. Therefore, the best measure of the central tendency to use is the mean. The standard deviation shows how far away the values in a given data set are from the mean, and since the mean is used as the measure of central tendency in this case, the standard deviation should be used as the spread.

A histogram for a an asymmetric data set will give an asymmetric shape, and the mean is not always equal to the median. Therefore, the best measure of central tendency to use is the median. The inter-quarterly range shows the range of the middle 50% of a certain data, which is considered from the median value. Since the median is used as the measure of central tendency in this case, it is wise to use the inter-quarterly range as the measure of spread.

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Answer: c

Step-by-step explanation:

A full circle is 360 degrees so half way would be 180 and since theyre parallel you know that you can use the 55 degrees up top to use in ur equation to find cfe

180-55=125

Can't be 45 because the angle on the other side is smaller than cfe and its 55 degrees and cfe has to be wider than 90 degrees because a right angle is 90 degrees and this angle noticeable goes past 90

Can't be 180 because the whole thing equals 180

Answer:

is 14 sorry if i am wrong

Step-by-step explanation:

Answer:

14 kid tickets

10 adult tickets

Step-by-step explanation:

2.00*14=28

5.50*10=55

55+28=83

Based on the provided scenario, the statement can be classified as: b. This is a nonsampling error that causes bias.

Nonsampling errors refer to errors that occur in data collection, processing, or analysis that are not related to the sampling method.

The scenario described, where individuals may not provide truthful answers due to fear of their responses being shared with law enforcement officials, introduces a bias in the collected data.

This bias occurs because the reported data does not accurately represent the true prevalence of illicit drug use in the population.

The fear of legal consequences leads to a systematic deviation from the true values, which is a form of bias.

Therefore, option b is the correct classification for this scenario.

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Answer:

Step-by-step explanation:

Answer:

21/25 = 84% 84% is the largest out of them all in a percentage number.

Answer:

Step-by-step explanation:

Laura should invest approximately $4,210.82 now to reach her goal.

To calculate the amount Laura should invest, we use the compound interest formula \(A = P(1 + r/n)^(nt)\) , where A is the desired future amount, P is the principal (the amount to be invested), r is the interest rate (as a decimal), n is the number of compounding periods per year, and t is the number of years. Substituting the given values, we have

$\($6,500 = P(1 + 0.08/4)^(4*8)\). By solving this equation, we find that P is approximately $4,210.82. Therefore, Laura should invest around $4,210.82 now at an 8% interest rate, compounded quarterly, to reach her goal of $6,500 in 8 years.

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Using the compound interest formula, it was calculated that Laura should invest approximately $3,944.06 initially to have $6,500 in 8 years with an 8% annual interest rate compounded quarterly.

Laura's goal is to accumulate $6,500 in 8 years with an interest rate of 8% compounded quarterly. Hence, we need to work out how much she should invest initially. This is an example of a time value of money problem which can be solved using the compound interest formula.

The compound interest formula is: P = F / (1 + r/n)^(nt).

Where:
P is the principal (initial amount to invest),
F is the future value ($6,500),
r is the annual interest rate in decimal form (0.08),
n is the number of compounding periods in one year (4 since it's quarterly), and
t is the time in years (8 years).

Substituting the values into the formula, Laura should invest approximately: $3,944.06 immediately.

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The main topic is the split-half reliability test used in psychological research to assess the internal consistency of a scale.

In psychological research, reliability is a crucial aspect of measuring constructs or attributes. One commonly used method for assessing the reliability of a scale is the split-half reliability test.

In this test, the scale questions are divided into two parts equally, and the resulting scores of both parts are correlated against one another.

For example, if a scale had 20 items, the items could be randomly split into two groups of 10 items each.

Scores are then calculated for each group, and the scores are correlated with each other to determine the degree of consistency between the two halves.

The correlation coefficient obtained from this analysis provides an estimate of the internal consistency of the scale.

A high correlation coefficient indicates a high level of internal consistency, indicating that the two halves of the scale are measuring the same construct or attribute.

Conversely, a low correlation coefficient suggests that the two halves of the scale are not measuring the same construct or attribute, and the scale may need to be revised or abandoned.

Overall, the split-half reliability test provides a quick and efficient method for evaluating the reliability of a scale.

However, it is important to note that this method does have some limitations, such as the possibility of unequal difficulty or discrimination of the items in each half of the scale.

Therefore, researchers often use other methods, such as Cronbach's alpha, in conjunction with the split-half reliability test to provide a more comprehensive assessment of the reliability of a scale

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Answer:

x = -2

Step-by-Step Explanation:

Look at the attachment. You can either deduce that both exponents are equal because their base is 3, or you can take the log base 3 of each side.

Answer:

1.717

Step-by-step explanation:

In a net of a solid, the number of faces meeting at each vertex can be determined by examining the net and counting the number of lines that meet at each vertex. Each line corresponds to an edge of a face, so the number of lines meeting at a vertex is equal to the number of faces meeting at that vertex.

For example, if we consider a cube net, we can see that three faces meet at each vertex. Therefore, a cube has three faces meeting at each vertex.

Similarly, for other solids, we can count the number of faces meeting at each vertex by examining the net. For example, for a regular tetrahedron, four faces meet at each vertex; for a regular octahedron, four faces meet at each vertex; for a regular dodecahedron, three faces meet at each vertex; and for a regular icosahedron, five faces meet at each vertex.

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The data on the map most directly relates to externalities  is land use .

The Interstate Highway System, often referred to as the Eisenhower National System of Interstate and Defense Highways, is a system of controlled-access roads that is a component of the American National Highway System.

With 3,021 miles of east-west transcontinental motorway, Interstate 90 (I-90) is the nation's longest interstate highway (4,862 km). It starts in Seattle, Washington, moves through the Great Plains, the Midwest, the Northeast, and the Pacific Northwest, before coming to an end in Boston, Massachusetts.

The lengths of Interstates 5, 10, 15, 20, 25, 35, 40, 70, 75, 80, 90, 94, and 95 are all greater than one thousand miles.

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Answer:

Land use.

Step-by-step explanation:

Check the picture below:

Answer: 2 solve this equation to find all possible values of the angle 3x.

Step-by-step explanation: just took test

We solve cos(3x) = -1 using the inverse cosine function. The simplest solution is x = π/3. Accounting for the periodicity of the cosine function, we find additional solutions in the interval from 0 to 2π, specifically x = π/3 and x = 4π/3.

In order to solve the equation cos(3x) = -1, we need to use inverse trigonometric equations and some algebraic manipulation.

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