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Sindrei [870]
1 year ago
11

Can someone fill this out thanks

Mathematics
2 answers:
Travka [436]1 year ago
5 0

Answer:

first open twitch

Step-by-step explanation:

and search Xen Felix

laila [671]1 year ago
4 0
First step in 1 is combining like terms then distribution
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How many 4/5 cup sugar bowls can be filled from 12 cups of sugar?
prisoha [69]
12 sugar / 4/5 sugar/bowls = 15 bowls. Hope you notice the conversion of units. 
4 0
3 years ago
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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
Use an algebraic approach to solve the problem.
qaws [65]

Answer:

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

Step-by-step explanation:

Use the formula for the mean: sum of elements / number of elements

Let x represent her first exam score.

Her second exam score can be represented by x + 11, since it was 11 points better than her first.

Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.

Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):

mean = sum of elements / number of elements

87 =  ( (x) + (x + 11) + (x + 11) + 5 ) / 3

Add like terms and solve for x:

87 = (3x + 27) / 3

261 = 3x + 27

234 = 3x

78 = x

So, her first score was a 78.

Find her second score by adding 11 to this:

78 + 11 = 89

Find her third score by adding 5 to the second score:

89 + 5 = 94

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

6 0
3 years ago
PLESSSE HELP ME WITH THIS QUESTION TY
GuDViN [60]
The total of all angles are 360 degrees for a parallelogram. One angle is 10 and the one opposite is also 10. B = 340/2=170 degrees
6 0
2 years ago
Which expression is 5 times as large as the expression 345+23
natima [27]

Answer:

1840

Step-by-step explanation:

345+23=368*5

3 0
3 years ago
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