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Black_prince [1.1K]
3 years ago
9

Write an expression that can be used to produce vector g from vectors e and f.

Mathematics
1 answer:
almond37 [142]3 years ago
3 0

Answer:

g=e+f

Step-by-step explanation:

e= (-1,5)=-1i+5j

f=(3,-4)=3i-4j

g=(2,1)=2i+j

Let there exist real constant a,b:

ae+bf=g

For i: -a+3b=2

For j: 5a-4b=1

\left[\begin{array}{ccc}-1&3&2\\5&-4&1\end{array}\right]

Solves and gives:

a=1

b=1

g=e+f

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spayn [35]

Answer:

NM > LN

Step-by-step explanation:

Here, we want to write an inequality

we should beat it in mind that, the greater the angle that a side of a triangle faces, the greater its length will be relatively

as we can see, the side NM faces the greater angle of 83, relative to the side LN that faces the angle of 56;

So we can conclude that;

NM > LN

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4 years ago
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KiRa [710]

Answer:

Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.

Step-by-step explanation:

Given that in a  fast food study a researcher finds that mean sodium content of 32 Wendy's fish sandwiches is 1080 milligrams with a standard deviation of 75 milligrams. The mean sodium content of 39 Long John Silver's fish sandwiches is 1120 milligrams with a standard deviation of 100 milligrams

H0: The two means are equal

Ha: The two means are not equal

(Two tailed test at 5% level)

Variable A Variable B

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95% CI: -82.65 to 2.65

Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.

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3 years ago
The area of a triangular block is 81 square inches. If the base of the triangle is twice the height, how long are the base and t
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Answer:

18 inches and 9 inches

Step-by-step explanation:

Given, The base of a triangle is twice of the height.

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5(2x-7)

Clear bracket

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Answer:

n = 12

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(n-8)x 7 = 28

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n = 12

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