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OleMash [197]
3 years ago
7

Find u * v, if u= 12j and v = i + 5j a (1,60) b (0,60) c -60 d 60

Mathematics
2 answers:
Paraphin [41]3 years ago
7 0
The correct answer for this problem would have to be D hope this helps:)
lidiya [134]3 years ago
3 0

Answer:  The correct option is (d) 60.

Step-by-step explanation:  We are given to find u * v, if the vectors u and v are defined as follows :

u=12j,~~~v=i+5j.

We know that

i.i=1,~~j.j=1,~~k.k=1,~~i.j=j.i=j.k=k.j=i.k=k.i=0.

So, we have

u*v\\\\=(12j)*(i+5j)\\\\=12j.i+12j.5j\\\\=12\times 0+60\times 1\\\\=0+60\\\\=60.

Thus, the value of u * v is 60.

Option (d) is CORRECT.

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Which equation represents the statement: Three times the sum of a number and 5 is –30?
castortr0y [4]

Answer:

3(n+5)=-30

Step-by-step explanation:

Three times the sum of a number and 5 is - 30

Vocabulary:

times = multiplication, represented with *

sum = addition, represented by +

unknown number = n

Three * the sum of a number and 5

The sum of a number and 5 is the same as saying n + 5

So we are multiplying 3 by n + 5

Because n is an unknown variable we have to separate the sum of n and 5 from being multiplied by 3 with parenthesis. We do this because if we want to multiply 3 by the sum of n and 5. If we put 3 * n + 5 we are only multiplying the unknown variable by 3 not including the 5 that is added to it.

So we get 3( n + 5 ) is -30

3(n+5)=-30 is the answer.

3 0
2 years ago
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Write y=-4/5x-2 in standard form using integers?
kogti [31]

Answer:

4/5x + y = -2

Step-by-step explanation:


3 0
3 years ago
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Solve 2x+2>10 i need to know what this is?
mrs_skeptik [129]

Answer:

x>4

Step-by-step explanation:

2x + 2 > 10 \\ 2x > 10 - 2 \\ 2x > 8 \\ x > 4

Sorry if there is any mistakes

6 0
3 years ago
A cube has a volume of 1/8. If the cube holds 24 of these sugar cubes, what is the total volume of the box?
svetlana [45]

\frac{1}{8}  \div 24 = 3
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A 1200 kg car rolling on a horizontal surface has speed v = 50 km/h when it strikes a horizontal coiled spring and is brought to
tangare [24]
When the car is moving, it has Kinetic Energy. As soon as the car entercount with the spring, its Kinetic Energy will transfer to Elastic Potential Energy. 

<span>KE = EPE </span>
<span>1/2mv^2 = 1/2kx^2 </span>

<span>change the speed into m/s </span>
<span>50 km/hr = 13.9 m/s </span>

<span>1/2(1200)(13.9)^2 = 1/2k(2.2)^2 </span>

<span>now you do the math to solve for k.
k= 115926/2.42
K= 47903.30</span>
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3 years ago
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