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Allisa [31]
2 years ago
9

Given n = (1,2) and m = (6,12), find the magnitude of 1/2m-2n

Mathematics
1 answer:
ser-zykov [4K]2 years ago
7 0

Step-by-step explanation:

\frac{1}{2} m - 2n

\frac{1}{2}  \binom{6}{12}  - 2 \binom{1}{2}

\binom{3}{6}  -  \binom{2}{ 4}

\binom{1}{2}

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A dolphin jumps from the water at an initial velocity of 16 feet per second. The equation h + -16t^2 + 80t models the dolphin's
Dominik [7]

Answer:

100feet

Step-by-step explanation:

Given the height reached by a dolphin expressed by the equation is h = -16t^2 + 80t. At maximum height, the velocity is zero, hence;

v(t) = dh/dt = -32t + 80

0 = -32t + 80

32t = 80

t = 80/32

t = 2.5secs

Substitute t = 2.5 into the height formula h = -16t^2 + 80t

h = -16(2.5)^2 + 80(2.5)

h = -100+200

h = 100feet

Hence  the maximum height the dolphin jumps is 100feet

3 0
2 years ago
Please help I’m being timed
koban [17]

Answer:

slope is 0

Step-by-step explanation:

4 0
3 years ago
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In stage 2 of a rocket's takeoff, the speed of the rocket increases at a rate of 4.3% per minute. The speed of the rocket at the
Sveta_85 [38]

The correct option is:   B.  25000=5000(1.043)^t

<u><em>Explanation</em></u>

<u>The general form of growth equation</u> is:   A=P(1+r)^t , where A = final amount, P = initial amount, r = growth rate in decimal form and t = time duration

Here, the speed of the rocket at the beginning was 5,000 kilometers per hour and at the end will be 25,000 kilometers per hour. The speed increases at a rate of 4.3% per minute.

That means,  A= 25000 , P= 5000, r= 4.3\% = 0.043

Now <u>plugging these values into the above equation</u>, we will get......

25000=5000(1+0.043)^t\\ \\ 25000=5000(1.043)^t

So, the equation that could be used to determine the time for the speed of the rocket to reach 25,000 kilometers per hour will be:  25000=5000(1.043)^t

8 0
2 years ago
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Simplify each of the following ratios.<br>e) 2/3 : 3/2 : 5/8​
Snezhnost [94]

Answer:

32/45

Step-by-step explanation:

2/3 : 3/2 : 5/8

Remember, a ratio and a fraction are both division. Therefore you can rewrite the problem like so:

2/3 ÷ 3/2 ÷ 5/8

Dividing fractions is the same as multiplying them by the reciprocal.

2/3 * 2/3 * 8/5

Now simplify:

32/45

32 and 45 have no common factor, hence the final answer is 32/45

6 0
2 years ago
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Write three thousand five hundred thirty nine in expanded form
tekilochka [14]
(3000)+(500)+(30)+(9)
8 0
2 years ago
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