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svlad2 [7]
3 years ago
13

It’s number 5 please help

Mathematics
1 answer:
Oksanka [162]3 years ago
6 0
8x+100 with x representing the number of classes attended. For Ms.Wiggins, the equation would be 8(18)+100. You would multiple 8 x 18 getting 144+100. You add 144+100 to get $244 for Ms.Wiggins.
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A man is now twice as old as his son. fifteen years ago he was three times as old as his son was then. How old is the son now​
Sergio039 [100]

Answer:

Step-by-step explanation:

25 years old.

3 0
3 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}

6 0
3 years ago
Which data sets have outliers? Check all that apply.
MissTica

Answer:

the answer is c and e

Step-by-step explanation:

just took it

5 0
3 years ago
Read 2 more answers
I need help ASAP please!!
vagabundo [1.1K]

Answer:

x = 13 , y = 29

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask!

4 0
3 years ago
Jodi is cutting out pieces of paper that measure 8 1/2ninches by 11 inches from a large sheet of paper that has a area of 1,000
Tasya [4]

Answer:

93.5 in^2

Step-by-step explanation:

we know that


Jodi is cutting out pieces of paper that measure  inches by  inches


The area of each piece that jodi is cutting out is equal to the area of a rectangle


5 0
3 years ago
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