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DerKrebs [107]
3 years ago
10

3. -5 - 3k = 18k - 15

Mathematics
2 answers:
patriot [66]3 years ago
6 0
See picture attached

FromTheMoon [43]3 years ago
3 0
K=10/21. Hope this helps

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Use the Ratio Test to determine whether the series is convergent or divergent. [infinity] n! 112n n = 1 Identify an. Correct: Yo
MakcuM [25]

Answer:

Step-by-step explanation:

Recall that the ratio test is stated as follows:

Given a series of the form \sum_{n=1}^{\infty} a_n let L=\lim_{n\to \infty}\left|\frac{a_{n+1}}{a_n}\right|

If L<1, then the series converge absolutely, if L>1, then the series diverge. If L fails to exist or L=1, then the test is inconclusive.

Consider the given series \sum_{n=1}^{\infty} n! \cdot 112n. In this case, a_n =n! \cdot 112n, so , consider the limit

\lim_{n\to\infty} \frac{(n+1)! 112 (n+1)}{n! 112 n} = \lim_{n\to\infty}\frac{(n+1)^2}{n}

Since the numerator has a greater exponent than the numerator, the limit is infinity, which is greater than one, hence, the series diverge by the ratio test

7 0
3 years ago
Find the 10 th term of the following geometric sequence. 1,5, 25, 125, ...​
IceJOKER [234]

Answer:

1953125

Step-by-step explanation:

5: 625

6: 3125

7: 15625

8: 78125

9: 390625

10: 1953125

Sequence

×5

6 0
3 years ago
What is the value of the expression? 18 - 2 x (4 + 3)
Arturiano [62]

Answer:

=−14x+18

Step-by-step explanation:

happy to help ya :)

7 0
3 years ago
Read 2 more answers
Solve the inequality for u<br>-5u+27 [less than or equal to] 2​
baherus [9]

Answer:

5≤u

Step-by-step explanation:

Put the words and numbers into an equation:

-5u+27≤2

Put all like terms on one side:

27-2≤5u ---> Do you see what I did there? Now you don't have to work with negatives. :)

Simplify:

25≤5u

Solve:

5≤u

:)

6 0
3 years ago
The quadrilateral ABCD has area of 58 in2 and diagonal AC = 14.5 in. Find the length of diagonal BD if AC ⊥ BD.
azamat

Answer:

(look in the the Step by step)

Step-by-step explanation:

When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.

.. A = (1/2)*d₁*d₂

Substituting the given information, this becomes

.. 58 in² = (1/2)*(14.5 in)*d₂

.. 2*58/14.5 in = d₂ = 8 in

The length of diagonal BD is 8 in.

4 0
3 years ago
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