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ipn [44]
3 years ago
10

Simplify the expression, 6P4

Mathematics
1 answer:
vichka [17]3 years ago
4 0

Answer: 1296

Step-by-step explanation:

6 * 6 * 6 * 6 = 36*36=1296

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Matt borrows $1000 at 9% compounded monthly for 2 years. Find the total interest amount on the loan.
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The answer is 657000 because 1000x.9 is 900x730(which is what 2 years is like in days)
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How many different ways can you arrange five people shoulder to shoulder in a line
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3 years ago
Show that 1n^ 3 + 2n + 3n ^2 is divisible by 2 and 3 for all positive integers n.
Dmitry_Shevchenko [17]

Prove:

Using mathemetical induction:

P(n) = n^{3}+2n+3n^{2}

for n=1

P(n)  = 1^{3}+2(1)+3(1)^{2} = 6

It is divisible by 2 and 3

Now, for n=k, n > 0

P(k) = k^{3}+2k+3k^{2}

Assuming P(k) is divisible by 2 and 3:

Now, for n=k+1:

P(k+1) = (k+1)^{3}+2(k+1)+3(k+1)^{2}

P(k+1) = k^{3}+3k^{2}+3k+1+2k+2+3k^{2}+6k+3

P(k+1) = P(k)+3(k^{2}+3k+2)

Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also

divisible by 2 and 3.

Hence, by mathematical induction, P(n) = n^{3}+2n+3n^{2} is divisible by 2 and 3 for all positive integer n.

3 0
3 years ago
(01.02 MC)Which of the following expressions shows how to rewrite 4 − 5 using the additive inverse and displays the expression c
n200080 [17]

Answer:

I think the answer is 1. The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to negative. So the answer is A

hope this helps sorry if it wrong

pls let me now if right or wrong

4 0
3 years ago
The height of a golfball hit off a 128-foot hill is modeled by the function h(t) = −16t2 + 32t + 128, where h is height in feet
taurus [48]

The time taken for the golf ball to reach the ground is 1 s.

<h3>Motion of the golf ball</h3>

The path of motion of the golf ball can be described as parabolic because it is projectile.

When the golf ball reaches the ground, the final velocity will be zero.

Velocity of the golf ball is change in height with time.

v = dh/dt

h(t) = -16t² + 32t  + 128

dh/dt = -32t + 32

0 = -32t + 32

32t = 32

t = 1 s

Thus, the time taken for the golf ball to reach the ground is 1 s.

Learn more about time of  motion here: brainly.com/question/2364404

5 0
2 years ago
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