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kvasek [131]
3 years ago
12

Given u⃗ =⟨3,4⟩ and v⃗ =⟨1,2⟩. Let m be the magnitude of vector u⃗ . Find u⃗ +mv⃗ .

Mathematics
1 answer:
patriot [66]3 years ago
6 0

Answer:

\vec u+m\vec v=

Step-by-step explanation:

Being \vec u=<3,4> and \vec v=<1,2>, we must find

\vec u+m\vec v

If m is the magintude of \vec u:

m=\sqrt{a^{2}+b^{2}}

Where a and b are the components of \vec u

m=\sqrt{3^{2}+4^{2}}=5

\vec u+5\vec v=+5=+=

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What is the vertex of the quadratic equation y = - 1/3 (x + 2)^2 +5
Wewaii [24]

Answer:

<h2>(-2, 5)</h2>

Step-by-step explanation:

\text{The vertex form of a quadratic equation:}\\\\y=a(x-h)^2+k\\\\(h,\ k)-vertex\\---------------\\\text{We have:}\\\\y=-\dfrac{1}{3}(x+2)^2+5=-\dfrac{1}{3}(x-(-2))^2+5\Rightarrow h=-2\ \text{and}\ k=5\\\\\text{therefore the vertex is:}\ (-2,\ 5)

6 0
3 years ago
A bottling company uses a filling machine to fill plastic bottles with a popular cola. The bottles are supposed to contain 300 m
Lana71 [14]

Answer:

0.16

Step-by-step explanation:

For a normal distribution, the 68-95-99.7 rule says that 68% of the distribution lies within 1 standard deviation from the mean, 95% within two standard deviations and 99.7% within three standard deviations.

From the question,

Mean μ = 298 ml

Standard deviation σ = 3 ml

A value of 295 ml is within one standard deviation = 68%.

Since it's on the lower side, it's within 68% ÷ 2 = 34%.

The lower half below the mean is 50% of the distribution. Hence, for a selection less than 1 standard deviation, the probability is

50% - 34% = 16% = 0.16

5 0
3 years ago
HELP ASAP GIVING BRAINLY!!!!!!<br><br><br> x = 1, y = -3, z = 5<br><br> (4x + 10) + 8z - 10y
matrenka [14]

Answer:

the answer is 84

Step-by-step explanation:

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7 0
2 years ago
Read 2 more answers
I rlly need this answer pls help
mina [271]

Answer:

d

Step-by-step explanation:

155$ after 3 months means 45$ less. 45$ divided by 3 (the number of months) =15

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3 years ago
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Marina86 [1]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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