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777dan777 [17]
4 years ago
10

Find a unit vector that has the same direction as the given vector. −8, 8, 4

Mathematics
1 answer:
bearhunter [10]4 years ago
3 0

Please write out this vector as <−8, 8, 4>.  The unit vector that has the same direction as this is found by dividing <−8, 8, 4> by the magnitude of <−8, 8, 4>.

This magnitude is √(64+64+16) = √144 = 12.

Thus, the desired unit vector is   (1/12)<−8, 8, 4>.

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Irma needs to rent a car for a business trip from Phoenix to San Jose (720 miles one way). She will drive round trip and will be
cricket20 [7]
The cost per day is $65 per day, the total cost for 8days will be:
8×65
=520
suppose that E is the number of miles she can drive without exceeding $600.
Thus
0.24×E+520=600
hence solving for E we get
0.24E=600-520
0.24E=80
hence
E=80/0.24
E=333.3333
E~333
8 0
4 years ago
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. The volleyball team
almond37 [142]

Answer: After washing 20 cars together, each team will have raised the same amount in total.

Step-by-step explanation:

Let x represent the number of cars that each each teams will wash for them to raise the same amount in total.

The volleyball team gets $4 per car. In addition, they have already brought in $24 from past fundraisers. This means that the total amount raised by the volleyball team after washing x cars would be

4x + 24

The wrestling team has raised $84 in the past, and they are making $1 per car today. This means that the total amount raised by the wrestling team after washing x cars would be

x + 84

For both amounts to be equal, the number of cars would be

4x + 24 = x + 84

4x - x = 84 - 24

3x = 60

x = 60/3

x = 20

4 0
3 years ago
Help pls what's the common difference
horsena [70]

<u><em>Answer: </em></u>

#9: 5

#10: -2

#11: -1.5

<em><u>Step-by-step explanation:</u></em>

<em><u>#9:</u></em> 3,8,13,18,23,(28),(33),(38),.. <em>Go up by 5 each time, so the common difference is </em><u><em>5</em></u><em>.</em>

<u><em>#10:</em></u> 11,9,7,5,3,(1),(-1),(-3),... <em>Go down </em><em>(-)</em><em> by 2 each time, so the common difference is </em><u><em>-2</em></u><em>.</em>

<u><em>#11:</em></u> 3, 1.5, 0, -1.5, -3, (-4.5), (-6), (-7.5),... <em>Go down </em><em>(-) </em><em>by 1.5 each time, so the common difference is </em><u><em>-1.5</em></u><em>.</em>

7 0
3 years ago
Diana is painting statues.She has 7/8 of a gallon remaining.Each statue requires 1/16 of a gallon of paint. How many statues can
Irina-Kira [14]
The answer for the problem is 7/2
3 0
3 years ago
HELP PLEASE 35 POINTS
postnew [5]

For this case we have:

Let a function of the form y = f (x)

By definition, to graph y = f (x + h), where h> 0, we must move the graph of f (x), h units to the left.

We observe that the red graph has the same form as the black graph, but it is displaced "h" units to the left.

It is observed that h = 3

So, if the black graph is given byy = f (x), the red graph is given by: y = f (x + 3)

Answer:

y = f (x + 3)

Option A


3 0
3 years ago
Read 2 more answers
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