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3 years ago

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

Mathematics

2 answers:

LekaFEV [45]3 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]3 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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When 4/5 is written as a decimal, how many digits are in the smallest sequence of repeating digits?

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Unusual question. 4/5 = 0.8, which is NOT a repeating decimal; it's a rational fraction.

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4 years ago

Josh stopped at a booth at the fair. The prices of the items being sold were posted on a sign like the one seen below. Josh was

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3 years ago

A certain ferry moves up and down a river between Town A and B. It takes the ferry two hours to travel to Town A and only an hou

Y_Kistochka [10]

Answer:

The distance between two cities is <em>60 miles.</em>

Step-by-step explanation:

Time taken to travel from B to A = 2 hours

Time taken to travel from A to B = 1.5 hours

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Let the speed of ferry in still water = <em>u</em> mph

When the ferry moves with the current, it will taken lesser time (i.e. A to B) and when it moves against the current it will take more time (i.e. B to A).

Let the distance between the two cities A and B = D miles

While moving with the current, speed = $(u+5)\ mph$

While moving against the current, speed = $(u-5)\ mph$

Formula for Distance = Speed $\times$ Time

Distance traveled in each case is same i.e. D.

So,

$D = (u+5) \times 1.5 = (u-5) \times 2\\\Rightarrow 1.5u+7.5=2u-10\\\Rightarrow 0.5u =17.5\\\Rightarrow u = \dfrac{175}{5}\\\Rightarrow u = 35 \ mph$

Now,

$D = (u+5) \times 1.5\\\Rightarrow D =(35+5) \times 1.5\\\Rightarrow D =(40) \times 1.5\\\Rightarrow \bold{D =60\ miles}$

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6 0

3 years ago

16. A certain amount of money was divided in the ratio 2:3:5. If the difference between the largest share and smallest share was

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Answer:

12500

Step-by-step explanation:

2:3:5

smallest share

5 - 2 = 3

7500 / 3 = 2500

2500 × 5 = 12500

2500 × 2 = 5000

Check to see if correct:

12500 - 5000 = 7500

The answer will be 12500, hope this helps.

7 0

3 years ago

Write 54 + 63 as the product of the GCF of 54 and 63 and another sum

levacccp [35]

Answer:

9*(6+7)

Step-by-step explanation:

First, we have to find the Greatest Common Factor (GCF), to do this we have to see all the factors of 54 and 63 and find the greatest factor that they have in common.

Factors of 54

1,2,3,6,9,18,27,54

Factors of 63

1,3,7,9,21,63

The GCF is 9 because is the greatest factor that is common to both numbers.

Now we have to divide 54/9 and 63/9

54/9 = 6

63/9 = 7

So now we can write the product of the GCF and another sum:

9*(6+7)

<em>We can prove this by solving both expressions:</em>

<em>The results are equal so we prove it is right.</em>

8 0

3 years ago

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