A president and vice-president for a student organization are chosen from eleven people. How many different president/vice-president combinations are possible?

To find the magnitude and direction of a vector using trigonometry, you can follow these steps:

1. Identify the components of the vector: A vector can be represented by its horizontal (x) and vertical (y) components. For example, if we have a vector A with components Ax and Ay, we can express it as A = (Ax, Ay).

2. Calculate the magnitude of the vector: The magnitude of a vector is the length of the vector. To find the magnitude of a vector A, you can use the Pythagorean theorem. The formula is:
  magnitude(A) = √(Ax^2 + Ay^2)

3. Find the direction of the vector: The direction of a vector can be given in different forms, such as angles or degrees. Two common ways to express the direction of a vector are:
  a. Angle with the positive x-axis: This angle is measured counterclockwise from the positive x-axis to the vector. You can use trigonometric functions to find this angle. The formula is:
     angle = arctan(Ay / Ax)
  b. Angle with the positive y-axis: This angle is measured counterclockwise from the positive y-axis to the vector. To find this angle, you can subtract the angle obtained in step 3a from 90 degrees (or π/2 radians).

4. Convert the direction to degrees or radians, depending on the required format.

Let's consider an example to illustrate these steps:

Suppose we have a vector A with components Ax = 3 and Ay = 4.

1. Identify the components: A = (3, 4).

2. Calculate the magnitude:
  magnitude(A) = √(3^2 + 4^2) = √(9 + 16) = √25 = 5.

3. Find the direction:
  angle = arctan(4 / 3) ≈ 53.13 degrees.

4. Convert the direction:
  angle with positive y-axis = 90 degrees - 53.13 degrees ≈ 36.87 degrees.

So, the magnitude of vector A is 5, and its direction is approximately 36.87 degrees with a positive y-axis.

Remember, trigonometry can be used to find the magnitude and direction of a vector when you have its components.

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\(x = \frac{2}{a} \)

Step-by-step explanation:

3 ax + 4ax = 5ax + 4, combine like terms

7ax = 5ax + 4, minus 5ax from both sides

2ax = 4, divide 2a on both sides

you'll be left with x = 2/a

Answer: parallel lines are in the same slope? , but they do not intersect.

Step-by-step explanation:

because

Answer: slope, intersect

Step-by-step explanation:

As parallel lines never intersect

Answer:

The angels are 60 degrees and 120 degrees

Step-by-step explanation:

The sum of two supplementary angels equal 180 degrees.

So, lets look at the ratio: 6:3

We then add 6 and 3 together which gives us 9.

Then you put it in this equation:

9x = 180

x= 20

- You are adding the two numbers and dividing the sum by 180 because the answer will tell us how much 1 would equal.

- In this case, we multiply 20 by 6 = 120 degrees

- Then we multiply 20 by 3 = 60 degrees.

(We can check our answer by: 120 + 60 = 180 degrees) :)

Final Answer: \(x = 12\)

Steps/Reasons/Explanation:

Question: The equation, \(6x + 12 = 8x - 12\) has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form \(x = a\).​

Step 1: Subtract \(6x\) from both sides.

\(12 = 8x - 12 - 6x\)

Step 2: Simplify \(8x - 12 - 6x\) to \(2x - 12\)

\(12 = 2x - 12\)

Step 3: Add \(12\) to both sides.

\(12 + 12 = 2x\)

Step 4: Simplify \(12 + 12\) to 24.

\(24 = 2x\)

Step 5: Divide both sides by \(2\).

\(\frac{24}{2} = x\)

Step 6: Simplify \(\frac{24}{2}\) to \(12\).

\(12 = x\)

Step 7: Switch sides.

\(x = 12\)

~I hope I helped you :)~

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

The dimensions that will result in a solid with maximum volume are approximately x = 12.02 centimeters and h = 5.01 centimeters.

Let the side of the square base be x, and let the height of the rectangular solid be h. Then, the surface area of the solid is given by:

Surface area = area of base + area of front + area of back + area of left + area of right

Surface area = x² + 2xh + 2xh + 2xh + 2xh = x² + 8xh

We are given that the surface area is 433.5 square centimeters, so we can write: x² + 8xh = 433.5

We want to find the dimensions that will result in a solid with maximum volume. The volume of the solid is given by:

Volume = area of base × height = x² × h

We can use the surface area equation to solve for h in terms of x:

x² + 8xh = 433.5

h = (433.5 - x²)/(8x)

Substituting this expression for h into the volume equation, we get:

Volume = x² × (433.5 - x²)/(8x) = (433.5x - x³)/8

To find the maximum volume, we need to find the value of x that maximizes this expression. To do this, we can take the derivative of the expression with respect to x, set it equal to zero, and solve for x:

d(Volume)/dx = (433.5 - 3x²)/8 = 0

433.5 - 3x² = 0

x² = 144.5

x = sqrt(144.5) ≈ 12.02

We can check that this is a maximum by computing the second derivative of the volume expression with respect to x:

d²(Volume)/dx² = -3x/4

At x = sqrt(144.5), this is negative, which means that the volume is maximized at x = sqrt(144.5).

Substituting x = sqrt(144.5) into the expression for h, we get:

h = (433.5 - (sqrt(144.5))²)/(8×sqrt(144.5))

h = 433.5/(8×sqrt(144.5)) - sqrt(144.5)/8

h = 5.01

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The dimensions of the rectangular solid that will result in a maximum volume are approximately.\(6.34 cm \times 9.03 cm \times 9.03 cm.\)

Let's assume that the length, width, and height of the rectangular solid are all equal to x, so the base of the solid is a square.

The surface area of the rectangular solid can be expressed as:

\(SA = 2xy + 2xz + 2yz\)

Substituting x for y and z, we get:

\(SA = 2x^2 + 4xy\)

We are given that the surface area is 433.5 square centimeters, so:

\(2x^2 + 4xy = 433.5\)

Simplifying, we get:

\(x^2 + 2xy - 216.75 = 0\)

Using the quadratic formula to solve for y, we get:

\(y = (-2x\± \sqrt (4x^2 + 4(216.75)))/2\)

\(y = -x \± \sqrt (x^2 + 216.75)\)

Since the base of the rectangular solid is a square, we know that y = z. So:

\(z = -x \± \sqrt(x^2 + 216.75)\)

The volume of the rectangular solid is given by:

\(V = x^2y\)

Substituting y for\(-x + \sqrt (x^2 + 216.75),\) we get:

\(V = x^2(-x + \sqrt(x^2 + 216.75))\)

Expanding and simplifying, we get:

\(V = -x^3 + x^2\sqrt(x^2 + 216.75)\)

The dimensions that will result in a solid with maximum volume, we need to find the value of x that maximizes the volume V.

We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:

\(dV/dx = -3x^2 + 2x\sqrt(x^2 + 216.75) + x^2/(2\sqrt (x^2 + 216.75)) = 0\)

Multiplying both sides by \(2\sqrt (x^2 + 216.75)\) to eliminate the denominator, we get:

\(-6x^2\sqrt (x^2 + 216.75) + 4x(x^2 + 216.75) + x^3 = 0\)

Simplifying, we get:

\(x^3 - 6x^2\sqrt (x^2 + 216.75) + 4x(x^2 + 216.75) = 0\)

We can solve this equation numerically using a graphing calculator or computer software.

\(The solution is approximately x = 6.34 centimeters.\)

Substituting x = 6.34 into the expression for y and z, we get:

\(y = z \approx 9.03 centimeters\)

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The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:

A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.

B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.

C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.

D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.

Therefore, the correct answer is D. setne 23 47

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Answer:

A

Step-by-step explanation:

The length of the midsegment of the trapezoid is 8 units

Trapezoid

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides. The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs.

The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides of the trapezoid and is parallel to the pair of parallel sides.

In this problem

The two non-parallel sides of the trapezoid are AD and BC

Step 1

Find the midpoint side of AD

Let

E the midpoint AD

A ( 2,4 ) D (-2,-1)

Find the x-coordinate of the midpoint AD

\(x = \frac{2-2}{2} = 0\)

Find the y-coordinate of the midpoint AD

\(y = \frac{4 - 1}{2} = 1.5\)

the point E is equal to (0, 1.5 )

Step 2

Find the midpoint side of BC

Let

F the midpoint BC

\(B ( 7,4) C ( 9, -1)\)

Find the x-coordinate of the midpoint BC

\(x = \frac{9+2}{7} = 8\)

Find the y-coordinate of the midpoint BC

\(y = \frac{4 - 1}{2} = 1.5\)

The point F is equal to ( 8 , 1.5 )

Step 3

Find the distance EF

Know that

The formula to calculate the distance between two points is equal to

\(d = \sqrt{(y2 - y1)^{2}+ (x2 -x1)^{2} }\)

we have

E ( 0 ,1.5) F ( 8, 1.5)

substitute the values

\(d = \sqrt{(1.5 - 1.5)^{2} + (8-0 )^{2} }\)

d = 8 units

Therefore

The length of the midsegment of the trapezoid is 8 units

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We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

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Answer: the height of the pole is 16.782 meters

Step-by-step explanation: Let us take the height of the pole as "h".

i) Finding the height of the pole:

distance from the pole is 20m.

The angle of elevation is 40°

\(tan(40°) = h/20\)

Multiply both sides by 20:

\(20 * tan(40°) = h\)

\(h ≈ 20 * 0.8391 ≈ 16.782 meters\)

Therefore, the height of the pole is 16.782 meters.

ii) Finding the angle of depression

The angle of depression is the angle formed between the horizontal ground and the line of sight from the point of observation to the foot of the pole.

angle of depression = angle of elevation = 40°

Therefore, the angle of depression of the foot of the pole from the point of observation is 40°.

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Using trigonometric methods, it is determined that the height of the pole is found by using the formula for tangent, and adding the height of the observer. The angle of depression equals the angle of elevation, so both are 40 degrees.

To solve the problem, we use the properties of a right triangle and trigonometric functions. Since we know the angle of elevation and the length of one side, we can find the length of the other side using the tangent function.

For the height of the pole: we know that tan(θ) = opposite/adjacent, so,
tan(40) = height/20
height = tan(40) * 20

Let's denote the observer's height as h=1.54m, so the total height of the pole is height + h.

For the angle of depression: In a right triangle, the angle of depression and the angle of elevation are equal. Therefore, the angle of depression is also 40 degrees.

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Valeria cannot cut any 23-foot pieces from the 9-foot ribbon. The length of the leftover piece of ribbon will be equal to the original length of the ribbon, which is 9 feet.

Valeria bought a 9-foot length of ribbon and wants to cut 23-foot pieces from it. We need to determine how many pieces she can cut and the length of the leftover piece of ribbon.

To find out how many 23-foot pieces Valeria can cut, we need to divide the length of the ribbon by the length of each piece. The calculation is as follows:

9 feet ÷ 23 feet = 0.39130434782

Since we can't have a fraction of a piece, Valeria can only cut 0 whole pieces. Therefore, she cannot cut any 23-foot pieces from the 9-foot ribbon.

As for the length of the leftover piece of ribbon, we need to subtract the total length of the cut pieces from the original length of the ribbon. In this case, since Valeria cannot cut any 23-foot pieces, the length of the leftover piece will be equal to the original length of the ribbon.

Hence, the length of the leftover piece of ribbon is 9 feet.

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Answer:8 over 4

Step-by-step explanation:

Rise over run

Answer:

Command

Simplify

2 power of 4

16

2 power of 4

Step-by-step explanation:

Answer:

0.666667*​x+​4-​3/​5-​2

HOPE I HELP!!!! :)

Answer:

Step-by-step explanation:

the equatoin is 4x+77=497

and x is the hours spent

so solving it you subtract 77 from 497 which is 420 and 420/4 is equal to 105

Answer:

\(\dfrac{7}{3}\pi \text{ ft.}\)

Step-by-step explanation:

The distance traveled is just the circumference of the wheel

Circumference of a circle of radius r = 2πr

Here
\(r= 1 \dfrac{1}{6}\)

Convert this mixed fraction to an improper fraction:
\(1\dfrac{1}{6}=\dfrac{1\cdot 6+1}{6} = \dfrac{7}{6}\)

Therefore circumference of the wheel:
\(2\pi\cdot \dfrac{7}{6} = \dfrac{7\pi}{3}\)

Answer: Last choice: \(\dfrac{7}{3}\pi\) ft

The distance travelled by the wheel in one rotation is  7π/3 ft.

The circumference of a circle is the distance around the circle.

It is expressed as;

C = 2πr

Where r is the radius

Given that;

First, convert the radius from mixed to improper fraction.

Radius r = 1 1/6

Radius r = ( 1 × 6 + 1 )/6

Radius r = ( 6 + 1 )/6

Radius r = 7/6

Now, plug r = 7/6 into the above formula and simplify.

C = 2πr

C = 2π × 7/6

C = 14π/6

Cancel out the common factor of 14 and 6 which is 2

C = 7π/3 ft

Therefore, the distance is 7π/3 feet.

Option D) 7π/3 ft is the correct answer.

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Aggregate Demand (AD) is a macroeconomic concept that represents the total demand for goods and services in an economy. The X factor in the AD equation represents exports, which are an important part of the economy.

AD is calculated by adding up the individual components of demand, which include consumer spending (C), investment spending (I), government spending (G), and net exports (X-M). The X-M component represents the difference between exports (X) and imports (M).

The X component in the equation represents exports, which are the goods and services produced domestically and sold to foreign countries. Exports are an important part of the economy as they generate income and create jobs. The M component in the equation represents imports, which are the goods and services purchased from foreign countries and consumed domestically. Imports can have a negative impact on the economy as they represent a drain on resources and can lead to a trade deficit. The X factor in the equation is used to represent exports because it is a variable that can change over time. Factors that can affect exports include exchange rates, tariffs, and global demand for certain products. If the exchange rate between two currencies changes, it can make exports more or less expensive for foreign buyers, which can affect the level of exports. Tariffs are taxes on imports, which can make domestic products more competitive in foreign markets.

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Answer:

it 20 chews 5 over 20 chews 10

= 20! / (20-5)! times 5!  over 20! / (20-10)! times 10!

=15504/ 184756= .08 or 8%

Step-by-step explanation:

have a good day/night

may i please have a branllliest

sorry if wrong :(

Answer:

C

Step-by-step explanation:

120 x 35% = should make 42

jus report if its not C

Answer:

29.5

Step-by-step explanation:

I took the test and this is what he correct answer is!!

Hope it helps!!

The required value of te angle ∠3 = 100 degree.

A circle is a shape that is made up of all of the points in a plane that are at a certain distance from the center. Alternatively, it is the plane-moving curve traced by a point at a constant distance from a given point.

From the figure of the circle, we can identify that AD and CD are two diameter of the circle.

and ∠COA = ∠3 is inscribed angle made by up by 2 radian of the circle

So, arcCA = ∠3 = 100 degree

Thus, required value of te angle ∠3 = 100 degree.

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Answer:

10,1 and 1,11

Step-by-step explanation:

I'm guessing at what outliers are

Answer: 1/30

Step-by-step explanation:

The term quotient simply refers to the answer to a division equation.  Because 1/a/b = 1/ab, 1/6/5 = 1/30.

Hope it helps <3 :D

Answer:1/30

Step-by-step explanation:

i did my math on paper

Answer:

18/5

Step-by-step explanation:

hope this helps!!!

Answer:

25 x^2

Step-by-step explanation:

Simplify the following:

((5^(-2)/2^3)^4 2^28 x x)/((2^8/5^5×19^0)^2)

2^28 = (2^14)^2 = ((2^7)^2)^2 = ((2×2^6)^2)^2 = ((2 (2^3)^2)^2)^2 = ((2 (2×2^2)^2)^2)^2:

((5^(-2)/2^3)^4 ((2 (2×2^2)^2)^2)^2 x x)/(((2^8×19^0)/5^5)^2)

2^2 = 4:

((5^(-2)/2^3)^4 ((2 (2×4)^2)^2)^2 x x)/(((2^8×19^0)/5^5)^2)

2×4 = 8:

((5^(-2)/2^3)^4 ((2×8^2)^2)^2 x x)/(((2^8×19^0)/5^5)^2)

8^2 = 64:

((5^(-2)/2^3)^4 ((2×64)^2)^2 x x)/(((2^8×19^0)/5^5)^2)

2×64 = 128:

((5^(-2)/2^3)^4 (128^2)^2 x x)/(((2^8×19^0)/5^5)^2)

| | 1 | 2 | 8

× | | 1 | 2 | 8

| 1 | 0 | 2 | 4

| 2 | 5 | 6 | 0

1 | 2 | 8 | 0 | 0

1 | 6 | 3 | 8 | 4:

((5^(-2)/2^3)^4 16384^2 x x)/(((2^8×19^0)/5^5)^2)

| | | | 1 | 6 | 3 | 8 | 4

× | | | | 1 | 6 | 3 | 8 | 4

| | | | 6 | 5 | 5 | 3 | 6

| | 1 | 3 | 1 | 0 | 7 | 2 | 0

| | 4 | 9 | 1 | 5 | 2 | 0 | 0

| 9 | 8 | 3 | 0 | 4 | 0 | 0 | 0

1 | 6 | 3 | 8 | 4 | 0 | 0 | 0 | 0

2 | 6 | 8 | 4 | 3 | 5 | 4 | 5 | 6:

((5^(-2)/2^3)^4 268435456 x x)/(((2^8×19^0)/5^5)^2)

19^0 = 1:

((5^(-2)/2^3)^4 268435456 x x)/((2^8/5^5)^2)

5^5 = 5×5^4 = 5 (5^2)^2:

((5^(-2)/2^3)^4 268435456 x x)/((2^8/(5 (5^2)^2))^2)

5^2 = 25:

((5^(-2)/2^3)^4 268435456 x x)/((2^8/(5×25^2))^2)

| 2 | 5

× | 2 | 5

1 | 2 | 5

5 | 0 | 0

6 | 2 | 5:

((5^(-2)/2^3)^4 268435456 x x)/((2^8/(5×625))^2)

5×625 = 3125:

((5^(-2)/2^3)^4 268435456 x x)/((2^8/3125)^2)

2^8 = (2^4)^2 = ((2^2)^2)^2:

((5^(-2)/2^3)^4 268435456 x x)/((((2^2)^2)^2/3125)^2)

2^2 = 4:

((5^(-2)/2^3)^4 268435456 x x)/(((4^2)^2/3125)^2)

4^2 = 16:

((5^(-2)/2^3)^4 268435456 x x)/((16^2/3125)^2)

| 1 | 6

× | 1 | 6

| 9 | 6

1 | 6 | 0

2 | 5 | 6:

((5^(-2)/2^3)^4 268435456 x x)/((256/3125)^2)

(256/3125)^2 = 256^2/3125^2:

((5^(-2)/2^3)^4 268435456 x x)/(256^2/3125^2)

| | 2 | 5 | 6

× | | 2 | 5 | 6

| 1 | 5 | 3 | 6

1 | 2 | 8 | 0 | 0

5 | 1 | 2 | 0 | 0

6 | 5 | 5 | 3 | 6:

((5^(-2)/2^3)^4 268435456 x x)/(65536/3125^2)

| | | 3 | 1 | 2 | 5

× | | | 3 | 1 | 2 | 5

| | 1 | 5 | 6 | 2 | 5

| | 6 | 2 | 5 | 0 | 0

| 3 | 1 | 2 | 5 | 0 | 0

9 | 3 | 7 | 5 | 0 | 0 | 0

9 | 7 | 6 | 5 | 6 | 2 | 5:

((5^(-2)/2^3)^4 268435456 x x)/(65536/9765625)

5^(-2) = 1/25:

(((1/25)/2^3)^4 268435456 x x)/(65536/9765625)

2^3 = 2×2^2:

(((1/25)/(2×2^2))^4 268435456 x x)/(65536/9765625)

2^2 = 4:

(((1/25)/(2×4))^4 268435456 x x)/(65536/9765625)

2×4 = 8:

(((1/25)/8)^4 268435456 x x)/(65536/9765625)

Multiply exponents. (1/(25×8))^4 = (25×8)^(-4):

((25×8)^(-4) 268435456 x x)/(65536/9765625)

Multiply each exponent in 25×8 by -4:

(268435456 x x)/(65536/9765625) 1/25^4×1/8^4

8^4 = (8^2)^2:

((268435456 x x)/(25^4 (8^2)^2))/(65536/9765625)

8^2 = 64:

((268435456 x x)/(25^4×64^2))/(65536/9765625)

| | 6 | 4

× | | 6 | 4

| 2 | 5 | 6

3 | 8 | 4 | 0

4 | 0 | 9 | 6:

((268435456 x x)/(25^4×4096))/(65536/9765625)

25^4 = (25^2)^2:

((268435456 x x)/((25^2)^2 4096))/(65536/9765625)

| 2 | 5

× | 2 | 5

1 | 2 | 5

5 | 0 | 0

6 | 2 | 5:

((268435456 x x)/(625^2×4096))/(65536/9765625)

| | | 6 | 2 | 5

× | | | 6 | 2 | 5

| | 3 | 1 | 2 | 5

| 1 | 2 | 5 | 0 | 0

3 | 7 | 5 | 0 | 0 | 0

3 | 9 | 0 | 6 | 2 | 5:

((268435456 x x)/(390625×4096))/(65536/9765625)

390625×4096 = 1600000000:

((268435456 x x)/1600000000)/(65536/9765625)

The gcd of 268435456 and 1600000000 is 4096, so (x x×268435456)/1600000000 = ((4096×65536) x x)/(4096×390625) = 4096/4096×(65536 x x)/390625 = (65536 x x)/390625:

((65536 x x)/390625)/(65536/9765625)

Combine powers. (65536 x x)/390625 = (65536 x^(1 + 1))/390625:

((65536 x^(1 + 1))/390625)/(65536/9765625)

Multiply the numerator by the reciprocal of the denominator, ((65536 x^(1 + 1))/390625)/(65536/9765625) = (65536 x^(1 + 1))/390625×9765625/65536:

(65536×9765625 x^(1 + 1))/(390625×65536)

1 + 1 = 2:

(65536×9765625 x^2)/(390625×65536)

(65536 x^2×9765625)/(390625×65536) = 65536/65536×(x^2×9765625)/390625 = (x^2×9765625)/390625:

(9765625 x^2)/390625

| | | | |  

3 | 9 | 0 | 6 | 2 | 5 | | | | | | 2 | 5

| 9 | 7 | 6 | 5 | 6 | 2 | 5

- | 7 | 8 | 1 | 2 | 5 | 0 |  

| 1 | 9 | 5 | 3 | 1 | 2 | 5

- | 1 | 9 | 5 | 3 | 1 | 2 | 5

| | | | | | | 0:

Answer: 25 x^2

Answer:

25

Step-by-step explanation:

did all the work for this please trust me 25 is the correct answer :)

Answer:

o(-4+1)+4;=4;+(-4;+1)

The system of linear equations which has the rank of coefficient matrix equal to augmented matrix and equal to the number of unknowns, has only one solution called the unique solution.

Two types of system of equations exist- consistent and inconsistent.

Inconsistent means that it has no solution , i.e. the solution does not exist , here

Rank of augmented matrix is not equal to that of coefficient matrix.

Consistent system means a solution of the equation exists i.e.

rank of augmented matrix = rank of coefficient matrix.

Now, a consistent system can be of two types again - It may have a unique solution ,i.e.

rank of augmented matrix = rank of coefficient matrix = no. of unknowns

or an infinite number of solutions, where

rank of augmented matrix = rank of coefficient matrix < no. of unknowns   (here we need to assign an arbitrary value to a free variable to find its solutions).

For e.g. let us consider the system -

x + y+ z = 0

2x + 3y + 4z = 1

Since , (0,0,0) is obviously satisfying the equation and so is a solution to this system , the given system is a consistent system .

Also, for a system to be consistent , either a unique solution exists or an infinite number of solutions exist. There is no particular number of solutions.

Here, we see that (-1,1,0) is also a solution other than the zero solution.

We can clearly see that the number of unknown variables , x,y,z is 3 and the number of equations is 2.

Thus, The system if there are fewer equations than variables has infinite solutions, equal number of equations as the unknowns has the unique solution.

To learn more about system of equations, visit link - brainly.com/question/13997560

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Answer:

C. Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.

Step-by-step explanation:

edge

Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.

The sides of the triangle are given as:

12, 36 and 39.4 inches

According to the triangle inequality theorem, the following must be true

x + y >= z

Where z is the longest side.

This means that:

12 + 36 >= 39.4

Evaluate the sum

48 >= 39.4

The above inequality is true

Hence, the true statement is (c)

Read more about triangle inequality theorem at:

https://brainly.com/question/9165828

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