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3 years ago

The volume of the cone is exactly ___ cubic centimeters.

Mathematics

1 answer:

Sophie [7]3 years ago

4 0

Answer:

The volume is 3141.59

Step-by-step explanation:

Use the formula V=3.14r2h/3

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Write the point-slope form of the equation of the line with a slope of - 2 and an x-intercept of - 1. Include your work in your

coldgirl [10]

X-intercept is -1 implies line passes through (-1,0).
So point slope form is

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

>> y = -2 (x +1) <----- FINAL ANSWER

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3 years ago

Read 2 more answers

Find the sum: -11 + (-8)

Kipish [7]

Answer:

-19

Step-by-step explanation:

-11+(-8)

-11-8

-19

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2 years ago

Classify the angles, then find the value of x

marta [7]

Answer:

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Step-by-step explanation:

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2 years ago

A particle moving in a planar force field has a position vector x that satisfies x'=Ax. The 2×2 matrix A has eigenvalues 4 and 2

andrey2020 [161]

Answer:

The required position of the particle at time t is: $x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

Step-by-step explanation:

Consider the provided matrix.

$v_1=\begin{bmatrix}-3\\1 \end{bmatrix}$

$v_2=\begin{bmatrix}-1\\1 \end{bmatrix}$

$\lambda_1=4, \lambda_2=2$

The general solution of the equation $x'=Ax$

$x(t)=c_1v_1e^{\lambda_1t}+c_2v_2e^{\lambda_2t}$

Substitute the respective values we get:

$x(t)=c_1\begin{bmatrix}-3\\1 \end{bmatrix}e^{4t}+c_2\begin{bmatrix}-1\\1 \end{bmatrix}e^{2t}$

$x(t)=\begin{bmatrix}-3c_1e^{4t}-c_2e^{2t}\\c_1e^{4t}+c_2e^{2t} \end{bmatrix}$

Substitute initial condition $x(0)=\begin{bmatrix}-6\\1 \end{bmatrix}$

$\begin{bmatrix}-3c_1-c_2\\c_1+c_2 \end{bmatrix}=\begin{bmatrix}-6\\1 \end{bmatrix}$

Reduce matrix to reduced row echelon form.

$\begin{bmatrix} 1& 0 & \frac{5}{2}\\ 0& 1 & \frac{-3}{2}\end{bmatrix}$

Therefore, $c_1=2.5,c_2=1.5$

Thus, the general solution of the equation $x'=Ax$

$x(t)=2.5\begin{bmatrix}-3\\1\end{bmatrix}e^{4t}-1.5\begin{bmatrix}-1\\1 \end{bmatrix}e^{2t}$

$x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

The required position of the particle at time t is: $x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

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3 years ago

Tom wants to buy a sweater for $30 in which city will it be least expensive.

prisoha [69]

Answer:

what are the cities :-:

Step-by-step explanation:

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3 years ago

The volume of the cone is exactly ___ ​ cubic centimeters.

The volume of the cone is exactly ___ cubic centimeters.