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2 years ago

Explain how the following are related: linear relationship, proportional relationship, equivalent ratios, and direct variation

Mathematics

1 answer:

Scilla [17]2 years ago

5 0

With all of the following you are able to make a graph, table, and a equation.

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Mai finished her chemistry assignment in 1/2 hours. Then She completed her history assignment in 1/4 hours. How much more time d

hjlf

SHE SPENT 15 MINUTES MORE. 1 hour is 60 minutes. 1/2 hour is 30 minutes and 1/4 hour is 15 minutes. 30-15=15

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3 years ago

Read 2 more answers

Let v⃗ 1=⎡⎣⎢033⎤⎦⎥,v⃗ 2=⎡⎣⎢1−10⎤⎦⎥,v⃗ 3=⎡⎣⎢30−3⎤⎦⎥ be eigenvectors of the matrix A which correspond to the eigenvalues λ1=−1, λ2

kaheart [24]

Answer:

- x as a linear combination :

x = -1 v1+ 0 v2+ 1 v3.

- Transpose Ax = (12, -6, -6)

Step-by-step explanation:

Given v1 = (0 3 3),v2 = (1 −1 0), v3 = (3 0 −3) be eigenvectors of the matrix A which correspond to the eigenvalues λ1 = −1, λ2 = 0, and λ3 = 1, respectively, and let x = (−2 −4 0). Express x as a linear combination of v1, v2, and v3, and find Ax .

To write x as a linear combination of v1, v2, and v3

x = -1 v1+ 0 v2+ 1 v3.

To find Ax

Write A = (0 ......3 ......3 )

...................(1 ......-1 ......0)

...................(3 ......0......-3)

Since transpose x = (-2, 4, 0)

Ax =......... (0 ......3......3 )(-2)

...................(1 ......-1 ......0)(4)

...................(3 ......0......-3)(0)

= (0×-2 + 3×4 + 3×0)

...(1×-2 + -1×4 + 0×0)

.. (3×-2 + 0×4 + -3×0)

As = (12)

....(-6)

Transpose Ax = (12, -6, -6)

7 0

2 years ago

Please help with this problem

IRISSAK [1]

The slope is 2/3 because 3 - 1 = 2 and 0 - -3 = 3

3 0

3 years ago

Does anybody know the answer?

denis23 [38]

Answer:

7/4

Step-by-step explanation:

4 0

3 years ago

Neal opened a savings account 11 years ago with a deposit of $2,335.69. The account has an interest rate of 4.3% compounded dail

Vinvika [58]

Answer: $1,412.52

Step-by-step explanation:

Formula to calculate the accumulated amount if P principal invested for t years at a rate of interest r that compounded daily is given by:-

$A=P(1+\dfrac{r}{365})^{365t}$

Given: P= $2,335.69

r= 4.3%= 0.043

t= 11 years

Then,

$A=2335.69(1+\dfrac{0.043}{365})^{365\times11}\\\\=2335.69(1+0.000117808219178)^{4015}\\\\=2335.69(1.000117808219178)^{4015}\\\\= 2335.69(1.6047566747)\\\\=3748.09044309\approx3748.21\\\\\Rightarrow\ A=\$3748.21$

Interest earned = A-P

= $3748.21- 2335.69.

= $1412.52

Hence, Neal earned $1,412.52 as interest.

8 0

2 years ago