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sladkih [1.3K]
3 years ago
8

Help me u get brainliest plus more points :D

Mathematics
1 answer:
vredina [299]3 years ago
7 0

Answer:

6 is 56.25

7 is 97.50

Step-by-step explanation:

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Which of the following is a possible situation for the graph shown?
docker41 [41]

Step-by-step explanation:

but the graph is not given here

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2 years ago
6/8 divide by 8/12<br> A. 9/2<br><br><br> B. 8/9<br><br><br> C. 9/8<br><br><br> D. 9/32
Musya8 [376]

Answer:

C. 9/8

Step-by-step explanation:

\frac{6}{8}  \div  \frac{8}{12}

Use KCF which means Keep the first fraction, Change the second fraction by flipping it and change the division sign to a multiplication symbol:

\frac{6}{8}  \times  \frac{12}{8}

multiply the numerator together:

6 × 12 = 72

multiply the denominator together:

8 × 8 = 64

now the fraction is:

\frac{72}{64}

simplify further by dividing both numbers by 8:

72 ÷ 8 = 9

64 ÷ 8 = 8

so the fraction is 9/8

3 0
3 years ago
a college employs 15 stewards. what is the average monthly wage of the stewards if the college pays 226.20 naira in wages each m
Kitty [74]
What are the options
6 0
3 years ago
Can someone help me me answer this question please and thankyou!??
Oksi-84 [34.3K]
12 + 2 - (4 × 5^2) ÷ 7 + 1

12 + 2 - (4 × 25) ÷ 7 + 1

12 + 2 - 100 ÷ 7 + 1

12+2-100/7+1

15-100/7

Equal 5/7
Rise over run 5 is rise and 7 is run
5 0
3 years ago
Write the linear system of differential equations in matrix form then solve the system.
zvonat [6]

In matrix form, the system is

\dfrac{\mathrm d}{\mathrm dt}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}1&1\\4&1\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}

First find the eigenvalues of the coefficient matrix (call it \mathbf A).

\det(\mathbf A-\lambda\mathbf I)=\begin{vmatrix}1-\lambda&1\\4&1-\lambda\end{vmatrix}=(1-\lambda)^2-4=0\implies\lambda^2-2\lambda-3=0

\implies\lambda_1=-1,\lambda_=3

Find the corresponding eigenvector for each eigenvalue:

\lambda_1=-1\implies(\mathbf A+\mathbf I)\vec\eta_1=\vec0\implies\begin{bmatrix}2&1\\4&2\end{bmatrix}\begin{bmatrix}\eta_{1,1}\\\eta_{1,2}\end{bmatrix}=\begin{bmatrix}0\\0\end{bmatrix}

\lambda_2=3\implies(\mathbf A-3\mathbf I)\vec\eta_2=\vec0\implies\begin{bmatrix}-2&1\\4&-2\end{bmatrix}\begin{bmatrix}\eta_{2,1}\\\eta_{2,2}\end{bmatrix}=\begin{bmatrix}0\\0\end{bmatrix}

\implies\vec\eta_1=\begin{bmatrix}1\\-2\end{bmatrix},\vec\eta_2=\begin{bmatrix}1\\2\end{bmatrix}

Then the system has general solution

\begin{bmatrix}x\\y\end{bmatrix}=C_1\vec\eta_1e^{\lambda_1t}+C_2\vec\eta_2e^{\lambda_2t}

or

\begin{cases}x(t)=C_1e^{-t}+C_2e^{3t}\\y(t)=-2C_1e^{-t}+2C_2e^{3t}\end{cases}

Given that x(0)=1 and y(0)=2, we have

\begin{cases}1=C_1+C_2\\2=-2C_1+2C_2\end{cases}\implies C_1=0,C_2=2

so that the system has particular solution

\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}e^{3t}\\2e^{3t}\end{bmatrix}

8 0
3 years ago
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