The value of 10^4 is 10,000. Use this fact to change 5.2 x 10^4 to standard notation. 5.2 x 10^4 = 5.2 x ____ =?​

Answer:

10 shelves

Step-by-step explanation:

out of the other choices, 10 is most suitable to divide with 80

Answer:

yes and no,depends.

parrallel cant make any angles exept 180-straight line angle.

The time the mechanic is away from the shop is 2 hours.

To find the time the mechanic is away from the shop, we need to know either the distance of the round trip or the speed of the mechanic on one of the legs of the trip.

For example, if we know that the distance of the round trip is 30 miles, we can use the formula:

time = distance / speed

where speed is the average speed for the round trip, which is given as 15 miles per hour.

So, the time the mechanic is away from the shop would be:

time = 30 miles / 15 miles per hour = 2 hours

But without knowing the distance of the round trip or the speed of the mechanic on one of the legs of the trip, we cannot calculate the time the mechanic is away from the shop.

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Answer: i dont know

Step-by-step explanation:

Answer:

51.1° Celsius

Step-by-step explanation:

I looked it up

Answer: 51.111 Celsius

Answer:

( 4,6)

Step-by-step explanation:

To move the point 2 units to left, subtract 2 from the x coordinate

V'( 6-2,3)

V'( 4,3)

Now we move it 3 units up, which means we are adding 3 to the y coordinate

V' ( 4, 3+3)

V' ( 4,6)

The new point is ( 4,6)

Answer:

Step-by-step explanation:

You want to know the amount borrowed at 10%, 12%, and 14% if the total borrowed was $21000, the total interest was $2580, and the total of amounts borrowed at 10% and 14% was double the amount borrowed at 12%.

The relations give rise to three equations. If we let x, y, z represent the respective amounts borrowed at 10%, 12%, and 14%, we have ...

  x + y + z = 21000 . . . . . . total borrowed

  0.10x +0.12y +0.14z = 2580 . . . . . . total interest

  x + y = 2z . . . . . . . . . . . relationship between amounts

Writing the last equation as ...

  x -2y +z = 0

we can formulate the problem as a matrix equation and use a solver to find the solution. We have done that in the attachment. It tells us the amounts borrowed are ...

__

Additional comment

Recognizing that the amount at 12% is 1/3 of the total, we can use that fact to rewrite the other two equations. The interest on the $7000 at 12% is $840, so we have ...

These two equations have the solution shown above. (It is usually convenient to solve them by substituting for x in the second equation.)

<95141404393>

Answer:

x = -2

Step-by-step explanation:

It's a vertical line at x = -2

a. EVA (Economic Value Added) measures a company's economic profit by deducting the cost of capital from net operating profit after taxes.

b. EVA is a more comprehensive and suitable measure compared to EPS or ROE in evaluating a company's value creation.

a. EVA (Economic Value Added) is a financial metric that measures the economic profit generated by a company. It is calculated by subtracting the company's cost of capital from its net operating profit after taxes. EVA is significant because it provides a more accurate measure of a company's financial performance than traditional metrics like net profit or earnings per share. By deducting the cost of capital, EVA takes into account the opportunity cost of using capital and provides a clearer picture of whether a company is creating value for its shareholders.

b. EVA is a comprehensive measure that considers both the profitability and capital efficiency of a company, making it a more holistic indicator of performance compared to metrics like EPS (Earnings Per Share) or ROE (Return on Equity). While EPS focuses solely on the profitability of a company, and ROE measures the return generated on shareholders' equity, EVA takes into account the total capital employed and the cost of that capital. This makes EVA more suitable for evaluating the true economic value generated by a company.

In the Indian context, EVA can be a valuable metric for assessing corporate performance. It provides insights into how efficiently a company utilizes its capital and whether it is creating value for its shareholders. However, the adoption and use of EVA may vary among Indian companies, as it requires accurate and transparent financial data, as well as a thorough understanding of the concept and its calculation. Nevertheless, for companies that prioritize value creation and long-term sustainable growth, EVA can be a valuable tool for evaluating performance.

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Answer:

to find parallel;

first of all, parallel equations should have the same slope and a different y-intercept!

when were given a point (x,y), we write our equation in the y = mx + b form, then substitute the given point for (x,y) and solve for B!

However, to find the slope of the perpendicular equation, you need to get the negative reciprocal of the slope!

For example, if the slope is 3 in the original equation, it would be - 1/3 in perpendicular equation.

We then substitute the given point for (x,y)!

hope this helps :)

Leave a comment if you need further explanation

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

all you have to do is multiply the exponents

Answer:

Step-by-step explanation:

Sandra, Deacon, and Breanna read a total of 5 + 6 + 7 = 18 books. Since one book was read by all three children, we need to subtract it once from the total. Therefore, they read 18 - 1 = 17 different books.

Sara needed 8 test tubes for 3 different experiments. The first experiment required 2 test tubes, leaving 8 - 2 = 6 test tubes for the other two experiments. Since the two experiments required the same number of test tubes, each one required 6/2 = 3 test tubes.

It is unclear what the question is asking. Please provide more information or a specific question.

Branson and his sister Beatrice combined their allowance of $7 each to buy a movie for $12. They spent a total of 7 x 2 = $14 on the movie. Therefore, they had 14 - 12 = $2 left to buy fruit salad. They bought 2 containers of fruit salad for $1 each, leaving them with $0. They split the containers evenly between them, so each of them got 2/2 = 1 container of fruit salad.

Before Cam broke his right arm, he could type 9 words per minute on his phone. After he broke his arm, he could only type 6 words per minute. The difference between the number of words he could type in 5 minutes before and after he broke his arm is 5 x (9 - 6) = 5 x 3 = 15 words.

Gisselle saved $6 every week for 8 weeks, so she saved a total of 6 x 8 = $48. She found a used bicycle for $50, so she did not have exactly enough for the bicycle. She was $50 - $48 = $2 short.

X and Y are independent random variables, and a and b are constants is

Var(X-Y) = Var(X) + Var(Y)

Now, According to the question:

Let's Know:

Independent random variable:

Two random variables X and Y are independent if

E(XY) = E(X)E(Y).In case of n random variables the formula is extended as

\(E(X_1,X_2,X_3....X_n)=E(X_1)E(X_2)E(X_3)...E(X_n)\)

Are the random variables X and Y independent?

If X and Y are two random variables and the distribution of X is not influenced by the values taken by Y, and vice versa, the two random variables are said to be independent.

Hence, X and Y are independent random variables, and a and b are constants is

Var(X-Y) = Var(X) + Var(Y).

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Answer:a

Step-by-step explanation:a is easy

Answer:

a) a = 13

b) see explanation

c) x = 10

d) b = 13

Step-by-step explanation:

a) Use the Pythagorean Theorem as directed by the problem.

\(\textrm{(leg 1)}^2 + \textrm{(leg 2)}^2 = \textrm{(hypotenuse)}^2\)

\(12^2 + 5^2 = a^2\)

\(144 + 25 = a^2\)

\(\sqrt{169} = a\)

\(13 = a\)

a = 13

b) △ABE and △ACD:

- share angle C, and all right angles are congruent.

- share angle A, and any angle is congruent to itself.

- Therefore, they are similar using the AA theorem.

c) To solve for x, compare the ratios of the bottom sides to the right sides.

12 : (12 + 12)

12 : 24     →   24 = 12 · 2

5  :  x

x = 5 · 2

x = 10

d) Since we have already found the other two sides of △ACD, we can find its hypotenuse using the Pythagorean theorem and some extra algebra.

LET \(y = a + b\)

--------------------------------

\((12 + 12)^2 + x^2 = y^2\)

\(24^2 + 10^2 = y^2\)

\(576 + 100 = y^2\)

\(\sqrt{676} = y\)

\(26 = y\)

Now that we have solved for y, we can now plug y into the auxiliary equation from the beginning of step d.

\(y = a + b\)

\(26 = 13 + b\)

\(13 = b\)

b = 13

The value of the integral ∫x²dV using cylindrical coordinates is 512π / 3 .

In this case, the solid is positioned between the cylinder x² + y² = 4 and will be evaluated by using the cone z²= 16x² + 16y² .

Cylindric coordinates will be used to calculate this integral  \(\int\limits_e {x^2} \, dx\).

The distance from the origin to the point (x, y, 0) and the angle the point (x, y, 0) makes with the x-axis, respectively, are provided by the formulas.

x = r cos θ

y= r sin θ

With these coordinates, we shall characterize the solid E.

The boundary is then x² + y² = r²

The boundary also becomes r² = 4 or ( 0 ≤ θ ≤ r² )

Again z = 16r²

The original integral must now be translated into terms of these new coordinates. It is necessary to multiply the function by the Jacobian of the change in coordinates in order to ensure that the result remains the same. The value for the cylindric coordinates is r. Then

\(\int_ex^2 dx = \int\limits^{2\pi}_0\int\limits^2_0\int\limits^{16r^2}_0 r(r^2cos^2\theta)dzdrd\theta\)

\(=\int _0^{2\pi }\int _0^216r^5\cos ^2\theta drd\theta\)

\(=\int _0^{2\pi }\frac{512}{3}\cos ^2\theta d\theta\)

= 512/3 π

Hence the volume of the solid that is enclosed by the integral is given by 512/3 π .

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Copper oxide, often known as CuO, is the most typical natural ore of copper.

An estimated 5.6 million metric tons of copper were produced in 2021 in Chile, the world's largest copper producer.

What is copper?

A ductile, malleable, and highly efficient conductor of heat and electricity, copper is a reddish-gold colored metal. Since it was the first metal that humans worked with, copper is one of the metals that is used the most frequently today.

The two primary copper ores are copper oxide ore and copper sulfide ore. Both forms of ore may be profitably mined, although chalcopyrite, a sulfide ore mineral, is the most prevalent source of copper ore and represents nearly half of the metal's output.

The most significant and significant source of copper metal is chalcopyrite. The hue is often brassy to golden-yellow, frequently tarnished, and has a submetallic shine along with greenish-black streaks.

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There are 49,152 possible ways to pick teams for a basketball game in a PE class with 13 students if the two best players cannot be on the same team.

If we denote the two best players as A and B, then we can split the problem into two cases

A is on the red team: In this case, B can be on any of the remaining 12 students, and the other 11 students can be split between the red and blue teams in any way. Therefore, there are 12 × 2^11 = 24,576 possible team combinations.

A is on the blue team: This case is identical to case 1, so there are also 24,576 possible team combinations.

Therefore, the total number of possible team combinations where A and B are not on the same team is

24,576 + 24,576 = 49,152.

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The value of \( r_{2} \) is approximately 1.028 m. The moment or torque is calculated by multiplying the force applied by the distance from the point of rotation.

To find the value of \( r_{2} \), we need to use the concept of moments or torques in a system. The moment or torque is calculated by multiplying the force applied by the distance from the point of rotation.

In this case, if we assume that \( r_{1} \) and \( r_{2} \) are the distances of masses \( m_{1} \) and \( m_{2} \) from the point of rotation respectively, then the torques exerted by \( m_{1} \) and \( m_{2} \) should be equal since the system is in equilibrium.

Using the equation for torque:

Torque = Force × Distance

The torque exerted by \( m_{1} \) is given by:

\( \text{Torque}_{1} = m_{1} \cdot g \cdot r_{1} \)

where \( g \) is the acceleration due to gravity.

The torque exerted by \( m_{2} \) is given by:

\( \text{Torque}_{2} = m_{2} \cdot g \cdot r_{2} \)

Since the system is in equilibrium, \( \text{Torque}_{1} = \text{Torque}_{2} \), we can equate the two equations:

\( m_{1} \cdot g \cdot r_{1} = m_{2} \cdot g \cdot r_{2} \)

Now, let's substitute the given values into the equation and solve for \( r_{2} \):

\( 120 \, \text{lbs} \cdot 9.8 \, \text{m/s}^{2} \cdot 1.8 \, \text{m} = 210 \, \text{lbs} \cdot 9.8 \, \text{m/s}^{2} \cdot r_{2} \)

Simplifying the equation:

\( 2116.8 \, \text{N} \cdot \text{m} = 2058 \, \text{N} \cdot r_{2} \)

Dividing both sides of the equation by 2058 N:

\( r_{2} = \frac{2116.8 \, \text{N} \cdot \text{m}}{2058 \, \text{N}} \)

\( r_{2} \approx 1.028 \, \text{m} \)

Therefore, the value of \( r_{2} \) is approximately 1.028 m.

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a. The point estimate of the difference between the population mean expenditure for males and females is $75.49.

b. At 99% confidence, the margin of error is 15.27.

c.The 99% confidence interval for the difference between the two population is ($60.22, $90.76).

a. To find the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females, subtract the average expenditure of females from the average expenditure of males.

Point estimate = (Average expenditure for males) - (Average expenditure for females)

Point estimate = $138.48 - $62.99 = $75.49

Hence, the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females is $75.49.

b. To find the margin of error at a 99% confidence level, use the formula:

Margin of error = z * sqrt((standard deviation for males)^2/n1 + (standard deviation for females)^2/n2)

Margin of error = 2.576 * sqrt(($31^2/40) + ($20^2/36))

Calculate the values inside the square root first:

= 2.576 * sqrt((961/40) + (400/36))

= 2.576 * sqrt(24.025 + 11.111)

Now, calculate the margin of error:

= 2.576 * sqrt(35.136)

= 2.576 * 5.93

= 15.27

Hence, at 99% confidence, the margin of error is approximately 15.27.

c. To develop a 99% confidence interval for the difference between the two population means, use the point estimate and the margin of error calculated above:

Lower limit = Point estimate - Margin of error

Lower limit = $75.49 - 15.27 = $60.22

Upper limit = Point estimate + Margin of error

Upper limit = $75.49 + 15.27 = $90.76

Hence, the 99% confidence interval for the difference between the two population means is approximately ($60.22, $90.76).

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Answer:

31 degrees

Step-by-step explanation:

Subtract 94 from 125 to get the measure of angle DBC.

Answer:

3.9 * 10^-2

Step-by-step explanation:

We need a number between 0 and 10, so we need to multiply.

0.039 * 10 = 0.39

0.39 * 10 = 3.9

Since 0.039 is less than 0, we are going to have a negative exponent.

3.9 * 10^-2

Best of Luck!

The amount of water in the tank can be calculated by multiplying 3/4 to the volume of the tank: 3/4 x V = (3/4)L x W x H.

To calculate the amount of water in the aquarium's fish tank in the shape of a prism,

you would need to know the dimensions of the tank and then multiply the volume of the tank by 3/4.

Let's assume that the aquarium has a rectangular prism shape,

the amount of water in the tank would depend on the dimensions of the tank.

Let's assume the tank has a length of L, a width of W, and a height of H.

The volume of the tank can be calculated by multiplying the length, width, and height together: V = L x W x H.

If the tank is 3/4 full of water, the volume of water in the tank would be 3/4 of the total volume of the tank.

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(a) Example question: "How often do you look at social media while doing schoolwork?

(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.

(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.

(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.

(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."

(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.

(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.

To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.

Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.

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Answer:

The numerator of the fraction is -360

Step-by-step explanation:

a=180(n-2)/n

Solve for n

a=180(n-2)/n

Open parenthesis

a=180n-360/n

Cross product

an=180n-360

Collect like terms

an-180n=-360

Factorise

n(a-180)=-360

Make n the subject of the formula

n=-360/(a-180)

The numerator of the fraction is -360

The denominator is (a-180)

Answer:

-360

Step-by-step explanation:

The quadratic function that models the number of cases of flu each year, where y is years since 2012 is y = -0.02x^2 + 0.5x + 10. The coefficient of x is 0.5.

Suppose the number of cases of flu each year initially increases rapidly, but then starts to level off and eventually decline. We can model this behavior with a quadratic function of the form:

y = ax^2 + bx + c

where y is the number of cases of flu, and x is the number of years since 2012. Estimate the coefficients a, b, and c.

Assume the number of cases of flu was initially very low in 2012, so the y-intercept c is small value, say 10.

Next, assume that the number of cases of flu initially increased rapidly, but then started to level off around 2018.

y = ax^2 + bx + 10

where a is negative and b is positive.

Suppose the coefficient of the linear term is small, since we expect the trend to level off rather than continue to increase at a constant rate.

So, a possible quadratic function that models the number of cases of flu each year is:

y = -0.02x^2 + 0.5x + 10

The coefficient of x in this function is 0.5, which represents the rate of change of the number of cases of flu each year after 2012.

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The required given expression can be factored as \($(3a^2 + 5x^2)^2$\)

The given expression is:

\($9a^4 + 14a^2x^2 + 25x^4$\)

This is a quadratic trinomial in two variables. To factor it, we can use the following steps:

Step 1: Identify any common factors among the terms. In this case, there are no common factors among the terms.

Step 2: Recognize that the given expression is in the form of a perfect square trinomial. A perfect square trinomial is of the form \($(a^2 + b^2)^2$\) or \($(a^2 - b^2)^2$\), where a and b are expressions.

Step 3: Factor the expression using the appropriate formula for perfect square trinomials. In this case, we can recognize that \($9a^4$\), \($14a^2x^2$\), and \($25x^4$\) are perfect squares.

\($9a^4$\) is a perfect square of \($3a^2$\).

\($14a^2x^2$\) can be written as \($2(3a^2)(x^2)$\), which is a perfect square of \($2(3a^2x^2)$\).

\($25x^4$\) is a perfect square of \($5x^2$\).

Using these recognitions, we can rewrite the expression as:

\($(3a^2)^2 + 2(3a^2x^2) + (5x^2)^2$\)

Now we can see that this is a perfect square trinomial of the form \($(a^2 + b^2)^2$\), where \($a = 3a^2$\) and \($b = 5x^2$\). So we can factor it using the formula for perfect square trinomials:

\($(a^2 + b^2)^2 = (a + b)^2 \cdot (a - b)^2$\)

Substituting \($a = 3a^2$\) and \($b = 5x^2$\) we get:

\($(3a^2 + 5x^2)^2$\)

So, the given expression can be factored as \($(3a^2 + 5x^2)^2$\)

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Sampling without replacement is a process of collecting data from a population mean where each unit is selected only once.

To calculate sampling without replacement, first determine the size of the population you are sampling from. For example, if you are selecting 10 items from a population of 100, then the population size is 100. Next, calculate the number of possible combinations by using the mathematical formula nPr (n is population size, r is the number of items you are selecting). For our example, the formula would be 100P10, which would give us a result of 100!/(90!*10!) = 9,092,000 possible combinations. Finally, divide the number of possible combinations by the population size to determine the probability of selecting a specific combination. In our example, the probability would be 9,092,000/100 = 90,920.

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The volume of the given cuboid will be 11.34 m³.

The volume V of a cuboid is given by the formula:

V = l x w x h

where l, w, and h are the length, width, and height of the cuboid, respectively.

In this case, the length is 1.5 m, the width is 2.1 m, and the height is 3.6 m. So we have:

V = 1.5 x 2.1 x 3.6

Simplifying the right-hand side, we get:

V = 11.34 cubic meters

Therefore, the volume of the cuboid is 11.34 cubic meters.

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