What is 2 2/13 divided by 2/3

The solution to the given system of equations is x = 2, y = -1, and z = 1.

To solve the system of equations, we can use methods such as substitution or elimination. Here, we will use the method of elimination to find the values of x, y, and z.

First, let's eliminate the variable x by multiplying equation (1) by 2 and equation (3) by -1. This gives us:

2x + 4y - 2z = -6 (4)

-x + y - z = -4 (5)

Next, we can subtract equation (5) from equation (4) to eliminate the variable x:

5y - z = 2 (6)

Now, we have a system of two equations with two variables. Let's eliminate the variable z by multiplying equation (2) by 2 and equation (6) by 1. This gives us:

4x - 2y + 2z = 10 (7)

5y - z = 2 (8)

Adding equation (7) and equation (8), we can eliminate the variable z:

4x + 5y = 12 (9)

From equation (6), we can express z in terms of y:

z = 5y - 2 (10)

Now, we have a system of two equations with two variables again. Let's substitute equation (10) into equation (1):

x + 2y - (5y - 2) = -3

x - 3y + 2 = -3

x - 3y = -5 (11)

From equations (9) and (11), we can solve for x and y:

4x + 5y = 12 (9)

x - 3y = -5 (11)

By solving this system of equations, we find x = 2 and y = -1. Substituting these values into equation (10), we can solve for z:

z = 5(-1) - 2

z = -5 - 2

z = -7

Therefore, the solution to the given system of equations is x = 2, y = -1, and z = -7.

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Answer:

6

Step-by-step explanation:

\(8-6+4\)

\(2+4\\6\)

Answer:

you add it all up and lever the sides

Step-by-step explanation:

What is cross-section slicing ?

As per the figure, cross-sectional slicing means the division of the three-dimension into half and they are divided into the 3D view thus forming a

rectangular prisms.

All the 3 dimension figures include the cone, rectangle, and triangle. The volume of space that the cross-section of the plane makes tells us about the figure.

A slice parallel to the base of the rectangular prism, would result in two rectangular prisms. These two rectangular prisms would be congruent to each other as it is a perfect slice through the middle of dimension : 3cm x 4cm x 2cm.

A slice perpendicular to the base of the rectangular prism, would result in two rectangular prisms. These two rectangular prisms would be congruent to each other as it is a perfect slice through the middle of dimension : 1.5cm x 4cm x 2cm.

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Answer:

1

Step-by-step explanation:

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

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Answer:

$31.00

Step-by-step explanation:

124 x 25 = 3100, 3100 divided by 100 = 31.00

Answer:

y=4x-8 hope this helps:)

Step-by-step explanation:

Hey there!!

You can find the equation of a st.line passing through points using one point formula if only one point is given and slope is given , else find it by using two point formula (if 2 points are given).

Here, the points are, (4,8) and (-1,-12).

Using two point formula,

\((y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)\)

Keep all values,

\((y - 8) = \frac{ - 12 - 8}{ - 1 - 4} (x - 4)\)

Now, simplify them.

\((y - 8) = 5(x - 4)\)

y - 8 = 5x -20

5x -y -20+8 = 0

Therefore, 5x - y -12 = 0 is the required equation.

Hope it helps...

The first three pseudorandom numbers generated by the given relation are: a) R1 = 1, b) R2 = 7, c) R3 = 1.

Explanation: We start with the seed value R0 = 3. Using the given relation Rn+1 = (5Rn + 2) mod 9, we can calculate the subsequent values of Rn.

a) To find R1:

R1 = (5R0 + 2) mod 9 = (5 * 3 + 2) mod 9 = 15 mod 9 = 1

b) To find R2:

R2 = (5R1 + 2) mod 9 = (5 * 1 + 2) mod 9 = 7

c) To find R3:

R3 = (5R2 + 2) mod 9 = (5 * 7 + 2) mod 9 = 37 mod 9 = 1

Therefore, the first three pseudorandom numbers generated are: R1 = 1, R2 = 7, and R3 = 1.


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x = 147 / 0.5446 ≈ 270.2 ft

To find the length of the guy wire for a radio transmission tower, trigonometry concepts are applied. Given a tower height of 160 feet, with the wire attached 13 feet from the top and making an angle of 29° with the ground, we can solve for the length of the guy wire, represented by x.

Using the Pythagorean theorem and considering the right triangle formed by the tower height, the wire attachment point, and the ground, we can set up the equation:

x = √((160 - 13)² + x²)

Next, we apply the tangent function to the given angle:

tan(29°) = (160 - 13) / x

Simplifying, we have:

0.5446 = 147 / x

To solve for x, we rearrange the equation:

x = 147 / 0.5446 ≈ 270.2 ft

Rounding to the nearest tenth of a foot, the length of the guy wire required is approximately 270.2 feet. This wire is attached 13 feet from the top of the tower and makes a 29° angle with the ground.

Trigonometry plays a crucial role in solving real-world problems involving angles and distances. It provides a mathematical framework for calculating unknown values based on known information, enabling accurate measurements and constructions.

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Product is multiplication.

First multiply 0.7 by 2:

0.7 x 2 = 1.4

Because there is only one number to the left of the decimal point the scientific notation remains the same 10^4

The answer is 1.4 x 10^4

Answer:

Yes, because there were 8 pieces to start with. Hernando ate 2, leaving six pieces to split equally between his other six friends.

Answer:

(A) yes,they are correct. Hernado divided 6 by 6

Step-by-step explanation:

There are many ways Julio can roll the ball to reach it target. We can evaluate this situation by using probability.

Hence, we can evaluate the outcome by using probability.

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The set of numbers {10, 11} can be the measures of the sides of a triangle.

To determine whether each set of numbers can be the measure of the sides of a triangle or not, we need to apply the triangle inequality theorem.

The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

If we consider 10, 11 as the measures of the sides of a triangle, then the sum of any two sides must be greater than the third side.

The possible cases are 10 + 11 > x, where x is the third side.=> x < 21

This implies that the third side must be less than 21 to form a triangle.

Since there are infinitely many possible values of the third side, it can be any value between 1 and 20 inclusive.

Thus, we can classify the triangle based on the length of the longest side as follows:

If the third side is less than 10, the triangle is acute.

If the third side is equal to 10, the triangle is right-angled.

If the third side is greater than 10 and less than 11, the triangle is obtuse.

Therefore, the set of numbers {10, 11} can be the measures of the sides of a triangle.

The triangle can be classified as obtuse with the given measures of sides.

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a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

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Answer:

Step-by-step explanation:

The meaning of the translation (x + 6, y + 10) is that all points in a coordinate plane are moved 6 units to the right and 10 units up.

In other words, for any point (x, y) in the original position, after the translation, the new coordinates would be (x + 6, y + 10). This means that the x-coordinate of each point is increased by 6 units, resulting in a shift to the right, and the y-coordinate is increased by 10 units, resulting in a shift upwards.

For the curve, y = x⁸, 0≤ x ≤ 1

a) The area of the curve surface obtained by rotating the curve about the x-axis is equals to the \(A = \int_{a}^{b} 2π(x⁸)\sqrt(1+ 8x⁷)²dx .\)

b) The area of the surface obtained by rotating the curve about the y-axis is equals to the \(A = \int_{c}^{d} 2πx( \frac{ds}{dy})dy\).

We have, a curve equation, y = x⁸ ; 0≤x≤1.

a) We have to set up integral for area of the surface by the rotating about x -axis,

the arc of the curve y = f(x) from x = a to x = b is \(A = \int_{a}^{b} 2πyds

= \int_{a}^{b} 2πy(\frac{ds}{dx})dx \)

where \( \frac{ds}{dx}= \sqrt{(1 + \frac{dy} {dx})²}\)

Now, differentiating the curve equation, y = x⁸

=> dy/dx = 8x⁷

so, ds/dx = √(1 + 8x⁷)²

Therefore, Area of surface about rotating x-axis is \(A= \int_{a}^{b} 2π(x⁸)\sqrt(1+ 8x⁷)² dx.\)

b) Similarly, the area of the surface by the rotating about y -axis, of the arc of the curve x = f(y) from y = c to y = d is written as \(A = \int_{c}^{d} 2πx( \frac{ds}{dy})dy\).

Hence, we determined the integral for area of surface when rotating about x-axis and y-axis.

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Answer:

Step-by-step explanation:

Initial length of the cardboard was y cm, and width was x cm.

The new dimensions are:

length = (y - 25) cm

width = (x - 15) cm

Area of the new rectangle = length x width

                                            =  (y - 25) x (x - 15)

                                            =  (y - 25) (x - 15) \(cm^{2}\)

Perimeter = 2 ( length + width)

                = 2 ((y - 25)  + (x - 15))

                = 2(y - 25) + 2(x - 15)

Therefore:

2(x + y) - 40 is neither of these

2(x - 15) + 2(y - 25) is the perimeter

(x - 15)(y - 25)  is the area

(x - 25)(y - 15) is neither of these

2(x - 15)(y - 25)  is neither of these

2x + 2y - 80 is the perimeter

xy - 375 is neither of these

x + y - 40 is neither of these

Answer:

1 = −3 2/3 = − 1  1 / 4

2 = − (−2 5/6) = −1/5

3 = −3 2/3 = −2 1/5

4 = -28

5 = -27

You're welcome.

Answer:

1 = −3 2/3 = − 1  1 / 4

2 = − (−2 5/6) = −1/5

3 = −3 2/3 = −2 1/5

4 = -28

5 = -27

Step-by-step explanation:

A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.

What theory directly contradicts concept of absolute zero?

All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).

Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.

Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.

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Answer:

f(x)=25

Step-by-step explanation:

f(x)=8x-7

f(4)=8.4-7

f(4)=32-7

f(4)=25

Answer:

Those answers are correct that are shown and that are shown in blue

Step-by-step explanation:

Step-by-step explanation:

Imagine lying out 2 sticks with lengths 9 and 12

on the ground. The maximum length you can

get is by putting them in a straight line. (9 + 12 = 21)

However, 21 is less than 24, which is

supposed to be the 3rd side of the triangle.

Hence the set 9, 12, 24 cannot form a triangle.

The given expression represents a collection of equations and properties related to Legendre polynomials. These equations involve various properties and relations that characterize the behavior and properties of Legendre polynomials. Each equation represents a specific property or relation, such as evaluation at specific points, recurrence relations, or differential equations. It is important to study and understand these properties to work with Legendre polynomials effectively.

The equations mentioned in the given expression involve properties such as the evaluation of Legendre polynomials at specific points, the recurrence relation between consecutive polynomials, and the differential equation they satisfy. These properties are essential in understanding the behavior and properties of Legendre polynomials.

Each equation represents a specific property or relation associated with Legendre polynomials. For example, equation (67) shows the evaluation of Pn(x) at x = -1, equation (72) represents the recurrence relation between consecutive polynomials, and equation (76) shows the relation between Pn(x) and Pn-1(x).

To fully understand and work with Legendre polynomials, it is important to study their properties and equations systematically. The given expressions provide a glimpse into some of these properties and relationships.

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Answer:

Step-by-step explanation:

1) a-2b+3c

2) 2a+(6+3)²

Answer:

3 inches up per foot across

Step-by-step explanation:

rate of change = difference of y / difference of x

R = (18 - 12) / ( 6-4) = 6 / 2 = 3 inch / foot

The mean absolute deviation of the data is of:

1.25.

It represents the average by which the shoe sizes deviate from the mean shoe size.

The mean of the data-set in this problem is given as follows:

Mean = (6 + 8.5 + 6 + 9 + 10 + 7 + 8 + 9.5)/8

Mean = 8.

Then the deviations are given as follows:

Hence the MAD for the data-set is given as follows:

MAD = (2 + 0.5 + 2 + 1 + 2 + 1 + 0 + 1.5)/8

MAD = 1.25.

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Developing strategies for remembering facts is essential for children before they engage in drill and practice activities to develop fluency. By establishing these strategies, children can effectively learn, retain, and recall information, ultimately enhancing their performance during practice sessions.

Yes, it is important for children to develop strategies for remembering facts before engaging in drills and practice to develop fluency. By doing so, children can enhance their ability to recall information more quickly and accurately, making it easier for them to perform well on tests and assignments. Strategies such as visualizing, chunking, and using mnemonic devices can help children remember information more effectively. Once these strategies are established, drill and practice can then be used to further reinforce their understanding and speed up their recall time. This approach can ultimately lead to improved academic performance and a stronger foundation for learning.

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Answer:

It will take 3 hours to drive 90miles.

Step-by-step explanation:

240miles/8hours=30miles/1 hr. 90miles/3hours