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2 years ago

Can someone please help me out with this question? I need an answer ASAP. Thank you!!!

Mathematics

2 answers:

LekaFEV [45]2 years ago

5 0

<h2>Answer:</h2>

The resultant of the dot product of two vectors is:

$v\cdot w=22$

<h2>Step-by-step explanation:</h2>

We are asked to find the dot product of the two vectors v and w.

The vectors are given by:

r = <8, 8, -6>; v = <3, -8, -3>; w = <-4, -2, -6>

This means that in the vector form they could be written as follows:

$r=8\hat i+8\hat j -6\hat k\\\\v=3\hat i-8\hat j -3\hat k\\\\w=-4\hat i-2\hat j -6\hat k$

Hence, the dot product of two vectors is the sum of the product of the entries corresponding to each direction component.

i.e. the x-component get multiplied to each other, y-component get multiplied to each other and so happens with z.

Hence, the dot product of v and w is calculated as:

$v\cdot w=3\times (-4)-8\times (-2)-3\times (-6)\\\\i.e.\\\\v\cdot w=-12+16+18\\\\i.e.\\\\v\cdot w=22$

FinnZ [79.3K]2 years ago

4 0

Multiply corresponding components, then add the products:

$v\cdot w=3(-4)+(-8)(-2)+(-3)(-6)=22$

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patriot [66]

The two triangles are isosceles.

Both triangles have the equals sides equal to 6

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2 years ago

I need help please .

levacccp [35]

Answer:

Step-by-step explanation:

You know that anything to the zeroeth power is 1, so the equation is now

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2 years ago

Find the difference (7a-6b+7) - (8a-2)

olga nikolaevna [1]

Hey there!

Let's set up our expression:

(7a-6b+7)-(8a-2)

In order to simplify, we can use that subtraction sign and distribute it, using the distributive property. We have:

7a-6b+7-8a+2

Notice how it's plus two, because a negative times a negative two is a positive two. Now, it's a matter of finding the like terms and adding or subtracting them. These like terms can either have no variable, or have different coefficients but the same variable. That means our like terms are the 7a and -8a, and the 7 and 2. There's no like term for the 6b. That means we have:

(7a-8a) - 6b + (7+2) =

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Hope this helps!

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3 years ago

16. A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours

Reika [66]

Answer:

a) 23.11% probability of making exactly four sales.

b) 1.38% probability of making no sales.

c) 16.78% probability of making exactly two sales.

d) The mean number of sales in the two-hour period is 3.6.

Step-by-step explanation:

For each phone call, there are only two possible outcomes. Either a sale is made, or it is not. The probability of a sale being made in a call is independent from other calls. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$