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2 years ago

The ardered.pairs.(0, 1), (3, 10) and (4, n) are solutions of the same linear equation. Find n.

Mathematics

1 answer:

Fittoniya [83]2 years ago

7 0

Answer:

n = 13.

Step-by-step explanation:

Slope of the line = (10-1)/3-0) = 3

So the equation of the line is:

y - 1 = 3(x - 0)

y = 3x + 1

When x = 4 y = n, so:

n = 3(4) + 1 = 13.

n = 13.

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Prove that if b is a square matrix then b+b^t is symmetric

WARRIOR [948]

A matrix $\mathbf X$ is symmetric if $\mathbf X=\mathbf X^\top$ . We have

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and so $\mathbf B+\mathbf B^\top$ is indeed symmetric.

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3 years ago

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GenaCL600 [577]

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

Let's consider all the information given:

Eddie's pension is based on the average of his last four year's salaries

$\hookrightarrow \text{average } = \text {sum of all salaries} / \text{ number of years}\\ \hookrightarrow \text{average}= 392000 / 4 = 98000$

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3. The employer will therefore pay in total

$\hookrightarrow \text{Total pension} = 1176 * 20 \text{ years} = 23520$

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Hope that helps!

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1 year ago

How many ways can 10 runners finish first, second, and third in a race?

olga nikolaevna [1]

Let's call the 10 runners A B C D E F G H I J
ABC
ABD
ABE
ABF
ABG
ABH
ABI
ABJ
ACB
ACD
ACE
ACF
ACG
ACH
ACI
ACJ
ADB
ADC
ADE
ADF
ADG
ADH
ADI
ADJ
AEB
AEC
AED
AEF
AEG
AEH
AEI
AEJ
AFB
AFC
AFD
AFE
AFG
AFH
AFI
AFJ
AGB
AGC
AGD
AGE
AGF
AGH
AGI
AGJ
AHB
AHC
AHD
AHE
AHF
AHG
AHI
AHJ
AIB
AIC
AID
AIE
AIF
AIG
AIH
AIJ
AJB
AJC
AJD
AJE
AJF
AJG
AJH
AJI
The above is 60 different ways, but now B C D E F G H I J have to come first, and the proses starts again, until we have covered them all. I'm not going to write them all out but in theory, there is 540 different ways. 9*60=540.

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3 years ago

A large cat at the zoo need to eat at least 14 pounds of raw meat each day. The zoo feeds the cat using cainsters that each cont

yan [13]

Answer:

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Step-by-step explanation:

c = # canisters

14 ≤ 3.5 + 1.75c

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4 0

2 years ago

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natita [175]

Answer:

23.5

Step-by-step explanation:

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28-4.5=23.5

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2 years ago

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