The pentagons ABCDE and PQRST are similar. Find the length X of ST

The cone cup can hold 6.14 cubic inches of water.

A volume refers to the space occupied within the boundaries of an object in three-dimensional space.

To get volume of the cone cup, we will use formula for the volume of a cone \(V = (1/3)\pi r^2h\) where r is the radius of the base and h is the height.

Given:

Diameter (d) = 2.5 inches

Radius (r) = d/2 = 2.5/2 = 1.25 inches

Height (h) = 3.75 inches

Volume (V) = (1/3)π(1.25)²(3.75)

= (1/3)π(1.5625)(3.75)

= 6.13592315154

= 6.14 cubic inches.

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To determine the electric field in the region at the coordinates (3,4,5), we need to calculate the negative gradient of the electric potential function V(x, y, z) = x^2 + xy^2 + 2yz.

The electric field (E) is the negative gradient of the electric potential (V), given by E = -∇V, where ∇ represents the gradient operator.

Taking the partial derivatives of V with respect to x, y, and z, we have:

∂V/∂x = 2x + y^2

∂V/∂y = 2xy + 2z

∂V/∂z = 2y

Substituting the coordinates (3,4,5) into these partial derivatives, we get:

∂V/∂x = 2(3) + (4^2) = 2(3) + 16 = 6 + 16 = 22

∂V/∂y = 2(3)(4) + 2(5) = 24 + 10 = 34

∂V/∂z = 2(4) = 8

Therefore, the electric field at the coordinates (3,4,5) is given by E = (-22, -34, -8).

The electric field at the coordinates (3,4,5) in the given region, where the electric potential function is V(x, y, z) = x^2 + xy^2 + 2yz, is (-22, -34, -8). The negative gradient of the potential function gives us the electric field, and the coordinates are substituted to calculate the partial derivatives of the potential function with respect to x, y, and z.

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Answer:

1. My gf with me ;)

2. Ps5

Step-by-step explanation:

THERE :)

Answer:

VR Headset

Neon Nail Polish

New Blankie

Money for a laptop (I almost have enough!)

Step-by-step explanation:

Bc y not

Answer:

D. 8/15

Step-by-step explanation:

13/23 = .565217

11/20 = .55

9/17 = .52941176

8/15 = .53333333

The point that the graphs of f and g have in common are (1,0)

The given functions are:

f(x) = log₂x

and

g(x) = log₁₀x

We know that logarithm of 1 is always zero.

This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1

Therefore the point the graphs of f and g have in common is (1,0).

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Answer:

X= -7

Step-by-step explanation:

see photo for how I did it

Answer:

L=55 ft,  W=49 ft

Step-by-step explanation:

W=L-6

perimeter= 2L+2W

208=2(L-6)+2L

L=55

W=55-6

=49

Answer:

y = -x/4 + 30

y = -2x/3 + 490

Step-by-step explanation:

5x+20y=600

5x-5x+20y=-5x+600

20y=-5x+600

20y/20=(-5x+600)/20

20y/20=-5x/20+600/20

y = -x/4 + 30

2x+3y=1470

2x-2x+3y=-2x+1470

3y=-2x+1470

3y/3=(-2x+1470)/3

3y/3=-2x/3+1470/3

y = -2x/3 + 490

Answer:

50%

Step-by-step explanation:

1 is half of 2 and 50% of anything is half

Answer:

give me brainllest if i am right

50%

Step-by-step explanation:

we need the graph to answer!!

Answer:

hmm... A is the answer but if anything comes up tell me

The extended fan sub-equation method is a mathematical technique used to solve nonlinear evolution equations.

We have,

The extended fan sub-equation method is a mathematical technique used to solve a class of nonlinear evolution equations.

It extends the traditional fan sub-equation method by introducing additional terms and parameters to enhance its applicability and effectiveness.

The method involves transforming the original nonlinear evolution equation into a set of sub-equations, which are then solved iteratively using various mathematical tools such as symmetry reductions, similarity transformations, and exact solutions.

The extended fan sub-equation method has been successfully applied to various nonlinear evolution equations in mathematical physics, such as the KdV equation, the Burgers equation, and the Fisher equation, providing valuable insights and solutions to these complex systems.

Thus,

The extended fan sub-equation method is a mathematical technique used to solve nonlinear evolution equations.

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Answer:

x = 5

Step-by-step explanation:

y = 20; y = 4x

20 = y = 4x

20 = 4x

5 = x

x = 5

Answer:

Step-by-step explanation:

Y=2x........ equation 1

Y=20....... equation 2

If y=20 then let's substitute y=20 into equation 1

20=2x

Solve for x by dividing both sides by 2.

20/2=2x/2

x=10.

Answer:

Step-by-step explanation:

12.99 x 4= 51.49

2.99 x 4=  11.96

51.49 + 11.96=  63.92

63.92-48.00= 15.92

The amount of money that Jaylen left after the spent will be $23.05 thus, option (A) is correct.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

As per the given,

Jaylen bought 5 pounds of apples for 12.99 and 4 cupcakes for

2.99 each.

Total spent = 12.99 + 4 x 2.99

Total spent = $24.95

Here,x is the number of cupcakes.

Left = $48 - $24.95 = $23.05

Hence "The amount of money that Jaylen left after the spent will be $23.05 ".

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Answer:

There are 90 ways to wear one necklace and one bracelet.

Step-by-step explanation:

The fundamental counting principle states that the number of possibilities in which multiple events can occur can be determined by multiplying the number of possible outcomes for each event. In other words, this principle states that if there are p ways to do one thing, and q ways to do something else, then there are p*q ways to do both.

In this case, if you have 6 bracelets and 15 necklaces, there are 6*15= 90 ways to wear one necklace and one bracelet.

If y = ax + 2a², then its derivative is dy/dx = a. Substitute y and dy/dx into the given equation and check if it results in an identity:

2 (dy/dx)² + x dy/dx - y = 0

2a² + ax - (ax + 2a²) = 0

0 = 0

This is of course true, so y = ax + 2a² is indeed a solution to the given equation.

The common factor from each expression in 6a^9 + 18a^6 - 6a^4 is 6a⁴

6a^9 + 18a^6 - 6a^4

Factors of

The highest common factor of 6a and 18a is 6a

= 6a⁴(a^5 + 3a² - 1)

Check:

6a⁴(a^5 + 3a² - 1)

= 6a^9 + 18a^6 - 6a^4

Therefore, the common factor from each expression in 6a^9 + 18a^6 - 6a^4 is 6a⁴

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Therefore, the vertical component of the force exerted on the block by the floor is equal to the normal force (N).

To determine the vertical component of the force exerted on the block by the floor, we need to consider the forces acting on the block. In this case, since the block is being pulled horizontally, the main forces to consider are the gravitational force (mg) acting vertically downward and the normal force (N) exerted by the floor perpendicular to the surface.

Since the block is on a rough horizontal floor and being pulled horizontally, there is a frictional force (f) opposing the motion. The frictional force acts parallel to the surface and in the opposite direction to the applied force. The vertical component of the force exerted by the floor is equal to the normal force (N). The normal force balances the downward force due to gravity (mg) to keep the block in equilibrium vertically.

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Answer:

I do to

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Rise: 3

Run: 2

You bought 8 stamps that cost 45 cents each and 2 stamps that cost 30 cents each.

Let's assume you bought x stamps that cost 45 cents each and y stamps that cost 30 cents each.

From the given information, we can create two equations:

The total number of stamps is 10: x + y = 10.

The total cost is $4.20: 45x + 30y = 420 (since the cost is given in cents).

Now we can solve this system of equations to find the values of x and y.

We can multiply the first equation by 30 to eliminate y:

30x + 30y = 300.

Now we have a system of equations:

30x + 30y = 300,

45x + 30y = 420.

Subtracting the first equation from the second equation, we get:

45x + 30y - (30x + 30y) = 420 - 300,

15x = 120,

x = 120/15,

x = 8.

Substituting the value of x back into the first equation:

8 + y = 10,

y = 10 - 8,

y = 2.

Therefore, you bought 8 stamps that cost 45 cents each and 2 stamps that cost 30 cents each.

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To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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In order to calculate the correlation between two variables related to the same sample you need to calculate first the mean of each variable.

Before determining the correlation, the covariance of the two variables in the issue must always be computed. The standard deviation of each variable is then needed. The correlation analysis is calculated by dividing the covariance even by combination of a standard deviations of two or more variables.

A correlation is a statistical measurement of the two-variable connection. The measure works best with parameters that have a linear connection with one another.

The degree of the relationship between two variables is examined using correlation. To get the correlation between two variables, divided the covariance value by the standard deviation of both variables. Correlation analysis for two variables in the same sample should be performed. If you run a survey with two factors, a responder should be able to answer both variables at a glance. Furthermore, other participants' replies to the parameter might be evaluated for a correlation test.

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Explanation

Step 1

mathematically, power is defined as the work done per unit of time

and , the work is defined by:

then, replace W=force*distance in the first equation

Step 2

replace,with the data

Answer:

Step-by-step explanation:

B

Answer: 0.75

Step-by-step explanation: Just put 75/100 into a calculator and that's what you get. % is always out of 100, so 75/100= 0.75