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RUDIKE [14]
3 years ago
11

A force vector M points 3 N in the x-direction and 4 N in the y-direction. What is Vector M’s magnitude?

Mathematics
1 answer:
julsineya [31]3 years ago
8 0

Answer:

5 N.

Step-by-step explanation:

Given that,

A force vector M points 3 N in the x-direction and 4 N in the y-direction.

We need to find the magnitude of vector M. The magnitude of the vector when they are perpendicular to each other is given by :

M=\sqrt{3^2+4^2} \\\\M=5\ N

So, the required magnitude of M is 5 N.

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y=x/4-12

x=y/4-12 (exchanging x and y)

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3 years ago
Factor the expression 3x + 9
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Answer:

3(x+3)

Step-by-step explanation:

3x+9

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The distance s that an object falls is directly proportional to the square of the time t of the fall. If an object falls 16 feet
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Answer: if S is the distance, the fact that the distance is proportional to the square of the time means that S(t) = a*t^{2} where a is a constant of proportionality, with units of \frac{feet}{s^{2} }.

We know that S(1) = 16 feet = a*1, then a = 16\frac{feet}{s^{2} }

then S(2) = 16*4 feet = 64.

and if we want to know in how much time te objet will fall 400feet, then S(t₀) = 400 feet = 16*t₀^{2}

so t₀ = \sqrt{400/16} = 5s.

7 0
4 years ago
Jeo is comparing the price of different boxes of cereal. One box has 16 oz. and costs $3.50. Another costs $3.89 for a 24 oz. bo
velikii [3]

Answer:

The difference in cost, in dollars, per ounce between the two boxes of cereal is $0.06.

Step-by-step explanation:

☆Let's solve using proportion.

☆One box:

\frac{16 \: oz.}{3.50 \: dollars}  =  \frac{1 \: oz.}{x}  \\  \\  \frac{3.50}{16}  =  \frac{16x}{16 }  \\  \\ 0.22 = x

☆Another box:

\frac{24 \: oz.}{3.89 \: dollars}   = \frac{1 \: oz.}{x }  \\  \\  \frac{3.89}{24}  =  \frac{24x}{24}  \\ \\ x = 0.16

☆All we need to do is subtract: 0.22 - 0.16 = 0.06

☆The difference in cost, in dollars, per ounce between the two boxes of cereal is $0.06.

7 0
3 years ago
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