f(x) = ^3 Squared 3x g(x) = 32 + 2 Find (f/g) (x)

Therefore, the tree is 78.14 feet tall. Rounded to the nearest hundredth of a foot, the answer is 78.14 feet.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is a fundamental part of geometry and is used in many areas of science, engineering, and technology.

by the question.

A represents the top of the tree, and the line segment AB represents the height of the tree, which we want to find. The angle of elevation, which is the angle between the ground and the line of sight to the top of the tree, is 54°. The distance from the point on the ground to the tree is 52 feet, which we'll call d. Finally, h represents the distance from the ground to the point where the line of sight intersects the tree.

Using trigonometry, we know that:

tan (54°) = h/d

We can rearrange this equation to solve for h:

\(h = d * tan (54)\)

Plugging in the values we know, we get:

\(h = 52 * tan (54) = 78.14\)

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858 combinations are there to choose 10 players to take the field.

Pick 10 people from 13,

\(C^{13} _{10}\) = \((^{13} _{2} )\)

Splitting the combination,

\(C^{13} _{10}\) = (13 × 12 × 11) ÷ 2

\(C^{13} _{10}\) = 1716 ÷ 2

\(C^{13} _{10}\) = 858 ways to pick the 10 to play.

There are 858 different methods to select 10 players to take the pitch.

The permutations of a set are the vaguely defined community of its members in arrangement or linear order, or the permutation of its components if the set is already collected. The act or procedure of adjusting the linear ordering of a sorted set is often named "permutation".

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Answer:

x = 32 or x = 0

Step-by-step explanation:

(x - 16)² = 256

Expand and simplify the equation.

x² − 32x + 256 = 256

Subtract 256 from either side of the equation.

x² − 32x + 256 − 256 = 256 − 256

Simplify the equation.

x² - 32x = 0

Factor and set the factors to 0.

x = 0 or x = 32

The answer is x = 0 or x = 32.

I have done this test on Plato/Edmentum. I can promise this answer is correct, I've gotten a 5/5.

Good luck ^^

The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

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Answer:  1) c    2) a     3) d

Step-by-step explanation:

\(\cos \theta = \dfrac{adjacent}{hypotenuse}\quad \\\\\\\cos 42.1=\dfrac{4.7}{x}\\\\\\x=\dfrac{4.7}{\cos 42.1}\\\\\\\large\boxed{x=6.33}\\\)

******************************************************************************************

Reference angle is the angle measurement from the x-axis.  There is no such thing as a negative reference angle.

-183°  is 3° from the x-axis so the reference angle is  \(\large\boxed{3^o}\)

*******************************************************************************************

Coterminal means the same angle location after one or more rotations either clockwise or counter-clockwise.

To find these angles, add or subtract 360° from the given angle to find one rotation, add or subtract 2(360°) from the given angle to find two rotations, etc.

To find ALL of the coterminals, add or subtract 360° as many times as the number of rotations.  Rotations can only be integers. In other words, you can only have ± 1, 2, 3, ... rotations. You cannot have a fraction of a rotation.

Given: 203°

Coterminal angles: 203° ± k360°, k ∈ I

The commission amount the salesperson earn is $29.7.

The percentage formula is dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Selling price = $495

Commission = 6%

Now,

The amount of commission.

= 6% of 495

= 6/100 x 495

= 29.7

Thus,

The commission the salesperson earn is $29.7.

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Answer:

x^4 - mx^2 + n^2 = 0

Step-by-step explanation:

We can use algebraic manipulation to solve for m and n. First, we can square the equation xy = n to get:

(x^2)(y^2) = n^2

Since we also have x^2 + y^2 = m, we can substitute y^2 with m - x^2 to get:

x^2(m - x^2) = n^2

Expanding the left side of the equation, we get:

mx^2 - x^4 = n^2

Multiplying both sides by 16, we get:

16mx^2 - 16x^4 = 16n^2

Adding 32xy to both sides, we get:

16mx^2 + 32xy - 16x^4 = 16n^2 + 32xy

Substituting n for xy, we get:

16mx^2 + 32n - 16x^4 = 16n^2 + 32n

Rearranging the equation, we get:

16mx^2 - 16x^4 - 16n^2 = 0

Dividing both sides by -16, we get:

x^4 - mx^2 + n^2 = 0

Answer:

(4x+4y)²

Step-by-step explanation:

Given x²+y² = m ,xy=n.

Now 16m+32n = 16(m+2n)

= 16(x²+y²+2xy) = 4²(x+y)²[ x²+y²+2xy= (x+y)²]

(4x+4y)².

Answer:

The measure of the interior angle C is \(108^{o}\).

Step-by-step explanation:

Sum of angles in a polygon = (n - 2) x 180

where n is the number of sides of the polygon.

For a hexagon, n = 6. So that;

Sum of angles in a hexagon = (6 - 2) x 180

                                     = 4 x 180

                                     = \(720^{o}\)

Sum of angles in a hexagon = \(720^{o}\)

⇒ 3x + 15 + 2x + 30 + 5x + 10 + 2x + 55 + 2x + 60 + x - 35 = \(720^{o}\)

15x + 135 = \(720^{o}\)

15x = \(720^{o}\) - 135

15x = 585

x = \(\frac{585}{15}\)

  = \(39^{o}\)

But,

C = 2x + 30

   = 2(39) + 30

   = 78 + 30

   = \(108^{o}\)

The measure of the interior angle C is \(108^{o}\).

There are 396 different ways to pair up a team from league a with a team from league b and 153 different ways to pair up two teams from league a.

(a) To pair up a team from league a with a team from league b, we can use the fundamental counting principle which states that if we have m ways to do one thing and n ways to do another, then there are m x n ways to do both. Therefore, the number of ways to pair up a team from league a with a team from league b is:

18 x 22 = 396

(b) To pair up two teams from league a, we can use the combination formula which states that the number of ways to choose r items from a set of n items is nCr = n! / (r! (n-r)!). Since we want to choose 2 teams from a set of 18 teams in league a, we can use the formula:

18C2 = 18! / (2! (18-2)!) = 153

Therefore, there are 153 different ways topair up two teams from league a.

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Leah and Josh should expect to pay approximately $1,204.31 in prepaid interest at the closing.

What is interest?

Interest is the amount of money that is paid or earned for the use of borrowed or invested funds. When someone borrows money, they typically have to pay back the principal (the amount borrowed) plus interest, which is usually calculated as a percentage of the principal.

To calculate the prepaid interest at closing, we need to first determine the loan amount, which is the purchase price of the home minus the down payment:

Purchase price = $550,000

Down payment = 14% of $550,000 = $77,000

Loan amount = $550,000 - $77,000 = $473,000

Next, we need to calculate the daily interest rate by dividing the APR by 365:

Daily interest rate = 3.70% / 365 = 0.010137%

Finally, we can calculate the prepaid interest by multiplying the loan amount by the daily interest rate and the number of days from the closing date to the end of the month:

Number of days from September 6 to September 30 = 25

Prepaid interest = $473,000 x 0.010137% x 25 = $1,204.31

Therefore, Leah and Josh should expect to pay approximately $1,204.31 in prepaid interest at the closing.

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Answer: Just use MathPapa.

Step-by-step explanation:

Answer:

See below both methods.

Step-by-step explanation:

9x + 6y = 18

-6x - 6y = -24

Elimination:

9x + 6y = 18

-6x - 6y = -24

Since 6y and -6y add to zero, add the equations to eliminate y and solve for x.

      9x + 6y = 18

(+)   -6x - 6y = -24

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

       3x        = -6

x = -2

Now we need to eliminate y and solve for x. Divide both sides of the second equation by 6 and multiply both sides of the second equation by 9 to get this new equation.

-9x - 9y = -36

Add this new equation to the first original equation to eliminate x.

      9x + 6y = 18

(+)  -9x - 9y = -36

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

            -3y = -18

y = 6

Solution: x = -2; y = 6

Substitution:

9x + 6y = 18

-6x - 6y = -24

Divide both sides of the first equation by 3. Divide both sides of the second equation by -6.

3x + 2y = 6    (Equation 1)

x + y = 4     (Equation 2)

Solve the second equation for x.

x = 4 - y

Substitute 4 - y for x in Equation 1 and solve for y.

3(4 - y) + 2y = 6

12 - 3y + 2y = 6

-y + 12 = 6

-y = -6

y = 6

Now substitute 6 for y in equation 2 and solve for x.

x + 6 = 4

x = -2

Solution: x = -2, y = 6

The electric potential, V, is 73.63 N and the magnitude of the electric field is 12.00 V/m.

The given electric potential is,V=2xy²z³+3ln(x²+2y²+3z²) N

The components of the electric field can be found as follows,

E=-∇V=- (∂V/∂x) i - (∂V/∂y) j - (∂V/∂z) k

(a) To determine the potential at P(3, 2, -1), substitute x=3, y=2, and z=-1 in the given potential,

V=2(3)(2²)(-1)³ + 3 ln [(3)²+2(2)²+3(-1)²]= 72.32 N

(b) The magnitude of the potential is given by,

|V|= √ (Vx²+Vy²+Vz²)

The electric potential, V, is a scalar quantity. Its magnitude is always positive. Therefore,

|V|= √ [(2xy²z³)² + (3ln(x²+2y²+3z²))²]= √ [(-72)² + (16.32)²]= 73.63 N

(c) To determine the electric field E at P(3,2,-1), find the partial derivatives of V with respect to x, y, and z, and then substitute x=3, y=2, and z=-1 to obtain Ex, Ey, and Ez.

Ex = -(∂V/∂x)= -2y²z³/(x²+2y²+3z²) = -4.8 V/m

Ey = -(∂V/∂y)= -4xyz³/(x²+2y²+3z²) = -10.67 V/m

Ez = -(∂V/∂z)= -6xyz²/(x²+2y²+3z²) = 5.33 V/m

Therefore, the electric field E at P(3,2,-1) is, E=Exi+Eyj+Ezk=-4.8 i - 10.67 j + 5.33 k

(d) The magnitude of the electric field is given by,

|E|= √ (Ex²+Ey²+Ez²)= √ [(4.8)²+(10.67)²+(5.33)²]= 12.00 V/m

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The value of A if the value of r is doubled is multiplied by 4.

The correct answer option is option D

A = πr²

If r = 2, find A

A = 3.14 × 2²

A = 3.14 × 4

A = 12.56

A = π × r²

A = 3.14 × 4²

= 3.14 × 4 × 4

= 50.24

In conclusion, if the value of r is doubled, the value of A is multiplied by 4

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If the degree of freedom is 24, your sample size when conducting a t-test for dependent means must be 25. Option C is the correct answer.

The sample size when conducting a t-test for dependent means depends on the specific study design and the level of significance desired, and cannot be determined solely based on the degrees of freedom.

However, if we assume that the sample size is equal for both groups, then the formula to calculate the degrees of freedom for a t-test for dependent means is:

df = n - 1

Where "n" is the number of pairs of observations in the sample.

Therefore, if the degree of freedom is 24, then the number of pairs of observations in the sample would be:

n = df + 1 = 24 + 1 = 25

Hence, the answer is 25.

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Answer:

there is no ans that is the ans

Answer:

x³ + y³ + z³ = [ (x +y +z)(x² + y² + z² -xy - yz - xz) ] + 3xyz

Step-by-step explanation:

x³ + y³ + z³ = [ (x +y +z)(x² + y² + z² -xy - yz - xz) ] + 3xyz

Answer:

140m

Step-by-step explanation:

3/4 = .75

x/.7 = 150/.75

multiply both sides by .7

x = 150/.75 * .7

x = 140m

To prove that gcd (n,n+2) is either 1 or 2 for any integer n, we can use a proof by contradiction. We can conclude that gcd (n,n+2) is either 1 or 2 for any integer n.

Suppose there exists an integer n such that gcd (n,n+2) is not 1 or 2, and let k be the gcd of n and n+2, where k ≥ 3. Then k is a common divisor of n and n+2, and k is not equal to 1 or 2.

Since k divides both n and n+2, we can write n = ka and n+2 = kb, where a and b are integers. Subtracting these equations gives 2 = kb - ka = k (b-a).

Since k is not equal to 1 or 2, it follows that k must be greater than or equal to 3. Therefore, k cannot divide 2, which implies that k (b-a) ≠ 2. This contradicts our assumption that gcd (n,n+2) is not 1 or 2.

Hence, we can conclude that gcd (n,n+2) is either 1 or 2 for any integer n.

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Answer:

The true statements are B, D, A

Step-by-step explanation:

Answer:

m∠A = 9°

Step-by-step explanation:

\( \sin 7A = \cos 3A \\ \\ \sin 7A = \sin(90 \degree - 3A) \\ \\ 7A = 90 \degree - 3A\\ \\ 7A + 3A= 90 \degree \\ \\ 10A= 90 \degree \\ \\ A = \frac{90 \degree}{10} \\ \\ m \angle A =9 \degree\)

Answer:

-15x

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

Thus, the equation of the plane determined by the intersecting lines L1 and L2 is: -2x + 14y + 18z - 48 = 0.

To find the plane determined by the intersecting lines L1 and L2, we need to find a normal vector to the plane.

First, we'll find two direction vectors for the lines L1 and L2.

For L1:

x = -1 + t

y = 2 + 4t

z = 1 - 3t

Taking the differences of these equations, we obtain two direction vectors for L1:

v1 = <1, 4, -3>

For L2:

x = 1 - 4s

y = 1 + 2s

z = 2 - 2s

Again, taking the differences of these equations, we obtain two direction vectors for L2:

v2 = <-4, 2, -2>

Since the plane contains both lines, the normal vector to the plane will be perpendicular to both direction vectors, v1 and v2.

To find the normal vector, we can take the cross product of v1 and v2:

n = v1 x v2

n = <1, 4, -3> x <-4, 2, -2>

Using the cross product formula, the components of the normal vector n can be calculated as follows:

n = <(4 * -2) - (-3 * 2), (-3 * -4) - (1 * -2), (1 * 2) - (4 * -4)>

n = <-8 - (-6), 12 - (-2), 2 - (-16)>

n = <-2, 14, 18>

So, the normal vector to the plane determined by the intersecting lines L1 and L2 is n = <-2, 14, 18>.

Now we can write the equation of the plane using the normal vector and a point on the plane (which can be any point on either L1 or L2).

Let's choose the point (-1, 2, 1) on L1.

The equation of the plane can be written as:

-2(x + 1) + 14(y - 2) + 18(z - 1) = 0

Simplifying:

-2x - 2 + 14y - 28 + 18z - 18 = 0

-2x + 14y + 18z - 48 = 0

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From the given problem,

Solving for the value of w,

Add 6 to both sides of the equation

Divide both sides by -5 :

Now substitute the value of w to the asking expression.

The answer is -20

Answer:

The first one

Step-by-step explanation:

The absolute value of a negative number is the same number but positive if that makes sense. ( ex absolute value of -5 is 5 )

The absolute value of a positive number is literally that number ( ex. absolute value of 6 is 6 )

Thus, the absolute value of 1 is 1 and the absolute value of -99 is 99

99 is greater than 1 which means that the absolute value of -99 is greater than the absolute value of 1

Thus, the answer is the first one

Answer:

it is 7.73

Step-by-step explanation:

Get smarter

Do subtraction

Answer:

The Answer is 7.73

Step-by-step explanation:

do some basic math lol

Answer:

y=x-2

Step-by-step explanation:

x=6 and y=4, so simplest equation is y=x-2

You can have infinity lines with the point (6,4). Another example is \(y=\frac{1}{2} x+1\)

Answer:016

Step-by-step explanation:

Answer:

120 ÷ 2 = 60 mph

150 ÷ 3 = 50 words per minute

145 ÷ 4 = $36.25 per hour

Answer:

y= -1/2x + 2

or y = -0.5x + 2

Step-by-step explanation:

Use the slope formula to get the slope:

(y2-y1)/ (x2-x1)

(2-0)/(0-4)

2/-4

-1/2

Plug in any point in Point-Slope Formula:

y - y1 = m(x-x1)

y- 0 = -1/2 (x -4)

y = -x/2 + 4/2

y= -1/2x + 2

1) The figure shows a translation.

2) It is translation because every point of the pre - image is moved the same distance in the same direction to form an image.

3) Point A from the pre - image corresponds with Point D on the image.

We have to given that,

There are transformation of triangles are shown.

Now, From figure all the coordinates are,

A = (- 5, 3)

B = (- 4, 7)

C = (- 1, 3)

D = (- 1, - 2)

E = (0, 1)

F = (3, - 2)

Hence, We get;

1) The figure shows a translation.

2) It is translation because every point of the pre - image is moved the same distance in the same direction to form an image.

3) Point A from the pre - image corresponds with Point D on the image.

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