N x 7 = 49 what is the missing added?

Answers

Answer 1
Answer: The missing added is N=7. 7×7= 49
Answer 2
Answer: 7*7 = 49
or 49÷7 = 7
So, 7 is missing.

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7. (1 point) A fighter plane, which can shoot a laser beam straight ahead, travels along the path ~r(t) = 5 − t, 21 − t 2 , 3 − t 3 27 Show that there is precisely one time t at which the pilot can hit a target located at the origin.

Answers

Answer:

At t = 3, pilot can hit the target located at the origin.

Step-by-step explanation:

We have been given displacement vector:

r(t) = 5 - t, 21 - t², 3-t³/27

so, in this case r(t) and r'(t) should be in the parallel but opposite direction.

In order to get r'(t) we need to differentiate r(t).

r(t) = 5 - t, 21 - t², 3-t³/27

r'(t) = -1, -2t, -t²/9

Now perform the cross product among these two r(t) and r'(t).

r'(t) x r(t) = \left[\begin{array}{ccc}i&j&k\n-1&-2t&(-t^(2) )/(9)  \n5-t&21-t^(2) &3-(t^(3) )/(27) \end{array}\right]

            = i ((-6t + (2t^(4) )/(27) )+ ( (21t^(2) )/(9) - (t^(2) )/(9) )) -j ((-3 + (t^(3) )/(27) + (5t^(2) )/(9) - (t^(2) )/(9) )) + k ((-21 + t^(2)  + 10t -2t^(2)))

           = ((-t^(4) )/(27) + (7t^(2) )/(3) - 6t )i + ((2t^(3) )/(27) - (5t^(2) )/(9) +3) j + (-t² + 10t -21)k

In order to find the value of t, we need to put

(-t^(4) )/(27) + (7t^(2) )/(3) - 6t = 0

-t² + 10t -21 = 0

So, after solving for t, we will get

- ( t-3) (t-7) = 0

t = 3 or t = 7

In this case, only t = 3 satisfies the other two equations as well. t=7 is not satisfying. So take t =3 as the time. and for further assurance, we need to check are our vectors r(t) and r'(t) opposite at t = 3 or not. Let's check it out.

r(3) = 5-3, 21 - 3²,  3 - 3³/27

r (3) = 2, 12, 2

r'(3) = -1, -2(3) , -3²/9

r'(3) = -1, -6 -1

Here, we can easily see that, r(3) = -2 r'(3) which is opposite and hence it is proved that, at exactly t = 3, pilot can hit a target located at the origin.

how many rectangular prism can you make out of 20 snap of cubes


Answers

20=1\cdot1\cdot20\n20=1\cdot2\cdot10\n20=1\cdot4\cdot5\n20=2\cdot2\cdot5\n\nAnswer:4\ regular\ prism\n\n1\ *\ 1\ *\ 20\n1\ *\ 2\ *\ 10\n1\ *\ 4\ *\ 5\n2\ *\ 2\ *\ 5

Solve for y

3x + 3y = 45

Answers

Answer:

y=15-x

Step-by-step explanation:

3y=45-3x

y=15-x

If you want to solve for y, you need another one equation

Answer:

y = -x + 15

Step-by-step explanation:

Subtract 3x from each side (left and right side of the equal sign) which will leave you with 3y = -3x + 45. Then divide everything by 3 which gets you

y = -x +15

John, Paul, and George have a combined age of 91. Paul is 14 years younger than John. George is 6 years older than John. How old is all three gentlemen?

Answers

Paul is 19, John is 33, and George is 39

Answer: john is 33, paul is 19, george is 39

Step-by-step explanation:

There are 18 bikes in the rack. There are 4 more blue bikes than yellow bikes and 2 less yellow bikes than green bikes. How many bikes of each color are in the rack? How do you figure out the problem?

Answers

Their will be the following:

Blue Bikes - 8
Green Bikes - 6
Yellow Bikes - 4

Unfortunately i figured out this problem in my head with guess work.

Hope this has helped in anyway.

Which list shows the lengths from shortest to longest ? A. 0.2, 1/4, 3/8, 0.8, 7/8

B. 0.2, 1/4, 3/8, 7/8, 0.8

C. 1/4, 0.2, 3/8, 7/8, 0.8

D. 0.8, 1/4, 3/8, 0.2, 7/8

Answers

Answer:

It’s a

Step-by-step explanation:

Tell me if I’m wrong