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Ahat [919]
2 years ago
5

Evaluate the expression for the given values of the variables.

Mathematics
2 answers:
Vesna [10]2 years ago
7 0

The answer is D or -30

Anna71 [15]2 years ago
4 0

 4(-5) + 7(3) + 3(-5) - 2(3) + 2(-5)

-20 + 21 + (-15) - 6 + (-10)

1 + (-15) - 6 + (-10)

(-14) - 6 + (- 10)

-14 + -6 + (-10)

-20 + -10

= -30

the answer is -30

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Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers
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Answer:

The unit vector in component form is \hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right) or \hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j.

Step-by-step explanation:

Let be \vec u = (2,-3), its unit vector is determined by following expression:

\hat {u} = \frac{\vec u}{\|\vec u \|}

Where \|\vec u \| is the norm of \vec u, which is found by Pythagorean Theorem:

\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}

\|\vec u\| = \sqrt{13}

Then, the unit vector is:

\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)

\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right)

The unit vector in component form is \hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}}  \right) or \hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j.

6 0
2 years ago
Use these clues to guess the mystery number. It is an odd number. It is greater than 142. It is less than 156. Rounded to the ne
Marianna [84]
Could be 154. 154 rounded to nearest ten= 150, rounded to nearest 100= 200
8 0
3 years ago
Read 2 more answers
Please and thank you!
PIT_PIT [208]

Answer:

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Step-by-step explanation:

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2 years ago
Starting at home, Michael traveled uphill to the gift store for 24 minutes at just 10 mph. He then traveled back home along the
kondaur [170]
We can figure out how long Michael's trip took by realizing that 30 mph is 3 times 10 mph.  Because of this, the trip home will take 1/3 the amount of time it took to go up the hill.  This makes the equation 24 + 8 = 32 minutes for the whole trip.

Now we need to figure out how long the trip was.  We can do this by multiplying 10 minutes by 24/60, which equals 4.  This means that Michael went 4 miles there, and 4 miles back.  So Michael went a total of 8 miles.

Now we know that Michael went 8 miles in 32 minutes.  Now, we multiply 8 by 60/32.  This gives us 15, so Michael went 15 miles per hour on average in the trip.
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3 years ago
What is the value of the expression below when b = 8.5?
Simora [160]
The answer is d hope this helps
7 0
2 years ago
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