the positive integer x is the smallest poistive interger for which the product of 140 and x is a perfect square. find the value of x

Answer:

9x

Step-by-step explanation:

x + 3x + 5x = 4x + 5x = 9x

It would take the two pumps working together approximately 240 minutes to remove the water.

To determine how long it would take the two pumps to remove the water working together, we can use the concept of work rates. Specifically, we can determine the work rates of each pump and then add them together to find the combined work rate when both pumps are working together.

Let's start by defining some variables:

Let L be the rate of the larger pump, in units of water volume per minute.

Let S be the rate of the smaller pump, in the same units as L.

Let T be the time it takes for both pumps to remove the water working together, in minutes.

From the problem statement, we know that the larger pump can remove all the water alone in 240 minutes. This means that its work rate is 1/240, since it can remove 1 unit of water volume in 240 minutes. Similarly, the smaller pump has a work rate of 1/400.

When both pumps are working together, their work rates add up. Therefore, we can set up an equation as follows:

L + S = 1/T

Substituting the work rates we found earlier, we get:

1/240 + 1/400 = 1/T

Simplifying this equation, we get:

1/T = 0.0041667

Solving for T, we get:

T = 1/0.0041667 ≈ 240.001 minutes

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Answer:

Answer A

Step-by-step explanation:

Hopes this helps Mark as brainliest

Answer:

area=πr√{h^2+r^2}

area=704cm^2, Height(h) =25cm

therefore,

by solving, πr√{h^2+r^2}=704cm^2

you will get value of r.

now, volume=πr^2×h/3

putting all values answer will come

Step-by-step explanation:

The final radius of the bubble at the surface is approximately 1.414 cm.

We have,

To determine the final radius of the bubble at the surface, we can use the ideal gas law, which states that the product of pressure and volume is proportional to the product of the number of moles and temperature.

Given:

Initial radius (\(r_1\)) = 2.40 cm

Initial pressure (\(P_1\)) = 3.15 bars

Initial temperature (\(T_1\)) = 8.68 °C

Final pressure (\(P_2\)) = 1.01325 bars

Final temperature (\(T_2\)) = 20.32 °C

To convert the temperatures to Kelvin, we add 273.15 to each value:

T1 = 8.68 + 273.15 = 281.83 K

T2 = 20.32 + 273.15 = 293.47 K

Using the ideal gas law equation:

\(P_1 \times V_1 / T_1 = P_2 \times V_2 / T_2\)

Since the volume is proportional to the cube of the radius, we can rewrite the equation as:

\(P_1 \times r_1^3 / T_1 = P_2 \times r_2^3 / T_2\)

Solving for \(r_2\) (final radius):

\(r_2 = (P_2 \times r_1^3 \times T_2) / (P_1 \times T_1)\)

Substituting the given values:

\(r_2\) = (1.01325 x (2.40 cm)³ x 293.47 K) / (3.15 x 281.83 K)

Calculating the final radius:

\(r_2\) ≈ 1.414 cm

Therefore,

The final radius of the bubble at the surface is approximately 1.414 cm.

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Answer:

245.04 cm

Step-by-step explanation:

The most likely problem with the sample they gathered to determine whether they believed marijuana should be lawfully available for medical uses has to do with the survey's likelihood of being "biased".

Thus, the most likely problem with the sample lycos web site gathered to determine whether they believed marijuana should be lawfully available for medical uses has to do with the survey's likelihood of being "biased".

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Answer:

5x5x5x5

Step-by-step explanation:

The expression that has the same value as \(5^4\) is 25² or 625.

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

We have \(5^4\).

Usually exponents can be expand using the number the power is raised.

As, if we have 9³ then it means 9 is multiplies by itself three times.

So, 9³ = 9 x 9 x 9= 729

Now, we have to expand  \(5^4\) as

= 5 x 5 x 5 x 5

= 5² x 5²

= 25 x 25

= 25²

= 625

So, the Equivalent value to  \(5^4\) is 25² or or 5² x 5² or 625.

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Answer

put 1 on top and exo on bottom

Step-by-step explanation:

Answer:1.8

Step by step explanation:

The value of the constant of variation is 2,199 feet. The speed of the another rider is 87.96 feet/sec.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

 p = kq

where k is some constant number called the constant of proportionality.

This directly proportional relationship between p and q is written as

 p∝q  where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n be two variables.

Then m and n are said to be inversely proportional to each other if

\(m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}\)

(both are equal)

where c is a constant number called the constant of proportionality.

This inversely proportional relationship is denoted by

\(m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}\)

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

A.) The time it takes to complete a go-cart course is inversely proportional to the average speed of the go-cart. Therefore, the relationship can be written as,

Average speed ∝ (1/time)

Now, if the constant of variation is introduced then the relationship can be written as,

Average speed = k(1/time)

Substituting the values, we will get,

\(73.3\frac{ feet}{second}= k \times \dfrac{1}{30\ seconds}\\\\73.3 \frac{ feet}{second}\times 30\ seconds = k\\\\k = 2,199\ feet\)

Hence, the value of the constant of variation is 2,199 feet.

B.) The speed of the another rider is,

Average speed = k(1/time)

Average speed = 2,199×(1/25) feet/sec

Average speed = 87.96 feet/sec

Hence, the speed of another rider is 87.96 feet/sec.

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p1=(0,4)

p2=(3,-8)

An inverse relationship can not direct.

We know that an inverse proportion represents inverse or indirect relation between two quantities.

In inverse relationship, one value increases while the other value decreases, and vice versa.

But in case of direct relationship, if one quantity increases , the other quantity also increases, and  if one quantity decreases , the other quantity also decreases.

When two quantities 'm' and 'n' are inversely proportional to each other, it means when the value of m increases while the value of quantity  'n' decreases, and vice versa.

Also, an inverse relationship always has a negative slope.

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Answer:

Step-by-step explanation:

Dang, they made this a little harder. Now we need to actually calculate a slope. Good thing is, it's relatively easy. Slope is basically the rate of change, or the rise of the function over the run, which is shown as:

Δy/Δx

We can use two points to find the slope. I will use (2,795) and (4,1525)

(y1 - y2) / (x2 - x1)

(1525 - 795) / (4 - 2)

730 / 2

365

This is our slope, 365x.

Now we need the y-intercept, which is where the line hits the y-axis. It seems to be at 100, so the new equation is:

y = 365x + 100

If we want to know how many followers Lauren will have in 2018, we just use 7 for x years after 2011, since 2018 is 7 after 2011.

y = 365(7) + 100

y = 2555 + 100

y = 2655

Lauren has 2655 followers in 2018.

Station 6-

The x-intercept tells us when the depth below the sea level is 0 feet.

The y-intercept tells us the starting depth when the time is 0.

The meaning of the slope being -10x is that the depth below the sea level decreases 10 feet per minute. Hope this helps, and sorry for seeing this late!

Answer:

d=-4.......,...........

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

If,

c - d = 7

c = 3 - 8i

The value of  d is -4 - 8i

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 4 is an equation.

2x + 6 is an equation.

We have,

Two equations:

c - d = 7 _______(1)

c = 3 - 8i _______(2)

We are using the substitution method to solve this problem.

We make the value of a variable from an equation and substitute the value of that variable in the other equation.

From (1) we get,

c - d = 7

Add d on both sides.

c - d + d = 7 + d

c = 7 + d ______(3)

Put (3) on (2) we get,

7 + d = 3 - 8i

Subtract 7 on both sides.

7 + d - 7 = 3 - 8i - 7

d = -4 - 8i

Thus,

If,

c - d = 7

c = 3 - 8i

The value of  d is -4 - 8i

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1. The preparation of the journal entries for Wildhorse Company is as follows:

Date              Account Titles and Explanation     Debit      Credit

July 1, 2022: Cash                                              $98,000

                     Notes Payable                                              $98,000

Nov. 1, 2022: Cash                                          $101,000

                      Notes Payable                                           $101,000

2. The preparation of the adjusting entries for Wildhorse Company is as follows:

Date                 Account Titles and Explanation     Debit      Credit

Dec. 31, 2022: Interest Expenses                         $3,920

                        Interest Payable                                           $3,920

Dec. 31, 2022: Interest Expense                             $1,010

                        Interest Payable                                           $1,010

3. The preparation of the journal entries for Wildhorse Company is as follows:

Date              Account Titles and Explanation     Debit      Credit

Feb. 1, 2023: Interest Expense                           $505

                      Interest Payable                          $1,010

                     Notes Payable                         $101,000

                     Cash                                                           $102,515

Apr. 1, 2023: Interest Expense                         $1,960

                     Interest Payable                         $3,920

                     Notes Payable                         $98,000

                     Cash                                                        $103,880

Adjusting journal entries are made at the end of the financial period to agree with the accounting records according to the accrual concept of generally accepted accounting principles.

Other journal entries are made to recognize the business transactions in the accounting records as they occur.

July 1, 2022: Cash $98,000 Notes Payable $98,000 (9-month, 8% note)

Nov. 1, 2022: Cash $101,000 Notes Payable $101,000 (3-month, 6%)

Dec. 31, 2022: Interest Expenses $3,920 Interest Payable $3,920

Dec. 31, 2022: Interest Expense $1,010 Interest Payable $1,010.

Feb. 1, 2023: Interest Expense $505 Interest Payable $1,010 Notes Payable $101,000 Cash $102,515

Apr. 1, 2023:Interest Expense $1,960  Interest Payable $3,920 Notes Payable $98,000 Cash $103,880

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The 80 % confidence interval for the true mean yield and the critical value that should be used in constructing the confidence interval will be 1.886.

From the information, a random sample of 3 fields of rye has a mean yield of 33.1 bushels per acre and standard deviation of 9.91 bushels per acre.

Based on the calculation, the critical value =1.886, lower endpoint =22.3 , upper endpoint =43.9. Check the attachment.

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The triangle that has the maximum area among the given options of isosceles triangle, right-angle triangle, equilateral triangle, and none of these, is the equilateral triangle.

An equilateral triangle has all three sides equal in length and all three angles equal to 60 degrees.

For a given perimeter, the equilateral triangle will have the maximum area compared to other types of triangles. This is due to the fact that among all triangles with a fixed perimeter, the equilateral triangle has the largest area.

The isosceles triangle has two sides of equal length, but the third side can vary. The right-angle triangle has one angle of 90 degrees, and the remaining two angles can vary. Both of these types of triangles may have smaller areas compared to an equilateral triangle with the same perimeter.

Therefore, among the options provided, the equilateral triangle will have the maximum area for a given perimeter.

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Answer:

9

Step-by-step explanation:

7 x (9 x 2) = (7 x 9) x 2  This is the associative property.

7 x ( 18) = (63) x 2

126 = 126

The least-squares regression line is used to predict the values of one variable based on the values of the other variable. In this case, the Verbal score can be predicted from the Math score.

The formula for the least-squares regression line is: Verbal = a + b * Math, where a is the intercept and b is the slope. The least-squares regression line for predicting Verbal score from Math score can be determined using a calculator or a statistical software package.

Once the least-squares regression line has been determined, it can be used to make predictions about the Verbal score for a given Math score. For example, if a student scores 600 on the Math portion of the SAT, the least-squares regression line can be used to predict their Verbal score.

The least-squares regression line is a useful tool for analyzing the relationship between two variables. It can be used to identify patterns and trends, and to make predictions about future values.

However, it is important to remember that correlation does not equal causation, and that other factors may be influencing the relationship between the two variables. The least-squares regression line should be used as a starting point for further analysis, rather than as a definitive answer.

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The kilograms of apple she sell at the farmer's market is A = 2.175 kg

Given data ,

To find the weight of apples sold by the farmer, we can subtract the weight of pears from the total weight

Given that 3/4 of the weight is pears, we can calculate the weight of pears by multiplying the total weight by 3/4:

Weight of pears = (3/4) x 8.7 kilograms = 6.525 kilograms

Since the total weight is 8.7 kilograms, we can subtract the weight of pears to find the weight of apples

On simplifying the equation , we get

Weight of apples = Total weight - Weight of pears

A = 8.7 kilograms - 6.525 kilograms = 2.175 kilograms

Hence , the farmer sold approximately 2.175 kilograms of apples at the farmer's market

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Answer:

112 students

Step-by-step explanation:

From this problem, we can gather that 80% of the students are not performing.

140*0.8=112

A ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value.

The given data set is 245, 261, 289, 222, 291, 289, 240, 233, 249, and 200. To create a ranked frequency distribution of this data set, we first need to sort it in ascending or descending order. Let's sort it in ascending order:200, 222, 233, 240, 245, 249, 261, 289, 289, 291 Next, we need to count the frequency of each value. We can do this by going through the data set and counting how many times each value occurs. Here is the frequency distribution table:Value Frequency 200 1222 1233 1240 1245 1249 1261 1289 2291 1 From this table, we can see that the most frequent value is 289, which occurs twice. We can also see that the least frequent values are 200, 222, 233, and 240, which each occur only once.

In conclusion, a ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value. This allows us to see which values are most and least frequent in the data set.

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Answer:

D

Step-by-step explanation:

I just took the quiz

The piecewise function graphed in this problem is given as follows:

C) y = x² + 2, x < 1, y = -x + 2, x ≥ 1.

A piece-wise function is a function that has different definitions, depending on the input of the function.

To the left of x = 1 in this problem, we have the quadratic function with vertex at (0,2), hence it is given as follows:

y = x² + 2, x < 1.

To the right of x = 1, including x = 1, we have a linear function with slope of -1 and intercept of 2, hence it is given as follows:

y = -x + 2, x ≥ 1.

Thus option C is the correct option for this problem.

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The volume of air inside the garage is 19,200,000 cm³.

To calculate the volume of the air inside the garage, we need to multiply the length, width, and height of the space. Given that the length and width of the rectangle-shaped garage floor are both 8 meters, and the height of the garage is 3 meters, we can proceed with the calculation.

First, let's convert the dimensions to centimeters for consistency. Since 1 meter is equal to 100 centimeters, the length and width of the garage floor are 800 centimeters (8 meters × 100 centimeters/meter).

To calculate the volume, we multiply the length, width, and height together: 800 cm × 800 cm × 300 cm = 192,000,000 cm³. However, it's important to note that this calculation gives us the total volume, including the space occupied by the garage structure itself. If we want to determine the volume of air inside the garage, we need to subtract the volume occupied by the solid structure. Assuming the garage structure occupies negligible space, we can conclude that the volume of air inside the garage is approximately 19,200,000 cm³.

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Answer: 2.5, 5.4

Step-by-step explanation:

\(-16t^2 +126t=213\\ \\ 16t^2 -126t+213=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4\)

The function f(x) = 3x³ - 2x² - 2x + 3 has one root and the root is x = 1

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

f(x) = 3x³ - 2x² - 2x + 3

Next, we plot the graph of the function f(x)

See attachment

From the graph, we can see that the graph intersects with the x-axis once at x = -1

This means that it has one root and the root is x = 1

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