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3 years ago

Quick! Find the results of the given vector subtractions for u = <-8, 4> and v = <2, 7>.

Mathematics

1 answer:

Jobisdone [24]3 years ago

8 0

Subtract corresponding x and y components

- u - v = - <- 8, 4> - <2, 7> = <8, - 4> - <2, 7> = <8 - 2, - 4 - 7> = <6, - 11>

u - v = <- 8, 4> - <2, 7> = <- 8 - 2, 4 - 7> = <- 10, - 3>

v - u = <2, 7> - <- 8, 4> = <2 + 8, 7 - 4> = <10, 3>

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If f(x) = x² – 5, evaluate: f(x+h)-f(x)/<br> h

Likurg_2 [28]

The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.

<h3>How to find the derivative of a quadratic equation by definition of derivative</h3>

In this question we have a quadratic function, in which we must make use of the definition of derivative to find the expression of its first derivative. Then, the procedure is shown below:

f(x) = x² - 5 Given

f' = [(x + h)² - 5 - x² + 5] / h Definition of derivative

(x² + 2 · x · h + h² - 5 - x² + 5) / h Perfect square trinomial

(2 · x · h + h²) / h Associative, commutative and modulative properties / Existence of additive inverse

2 · x + h Distributive, commutative and associative properties / Definition of division / Existence of multiplicative inverse

2 · x h = 0 / Result

The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.

To learn more on derivatives: brainly.com/question/25324584

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2 years ago

Given Trapezoid JOKE with m

yKpoI14uk [10]

Answer:

m∠J =90°
m∠O = 140°

Step-by-step explanation:

We see here angle J having 90°, pure right angle shape.

m<J=90

Then we find the total interior angle using (n-2)*180

(4-2)*180

360°

So, m∠O = 360° - m∠J - m∠E -m∠K

m∠O = 360° - 90° - 80° -50°

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3 0

2 years ago

Read 2 more answers

A researcher is 95% confident that the interval from 5.2 hours to 7.8 hours captures u = the true mean amount of time

igor_vitrenko [27]

<h3>Answer: Choice B</h3>

No, this is not a plausible value for the population mean, because 5 is not within the 95% confidence interval.

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Explanation:

The greek letter mu is the population mean. It has the symbol $\mu$ which looks like the letter 'u' but with a tail at the front or left side.

The question is asking if mu = 5 is plausible if the researcher found the 95% confidence interval to be 5.2 < mu < 7.8

We see that 5 is <u>not</u> in that interval. It's a bit to the left of 5.2

Since mu = 5 is not in the interval, it's not a plausible value for the population mean.

Have we ruled it out with 100% confidence? No. Such a thing is not possible. There's always room for (slight) error. The researcher would need to do a census to be fully confident; however, such practices are very time consuming and expensive. This is the main reason why statistics is important to try to estimate the population with a sample.

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2 years ago

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QveST [7]

Answer:

<u>The slope is -3.</u>

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The slope is the Rise/Run between the two points. The change in y for every change in x. Take the two points and calculate the:

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I graphed a line with slope of -3 and then added 18 to force the line to intersect the two given points.

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2 years ago

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Nutka1998 [239]

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3 years ago