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nika2105 [10]
3 years ago
15

How can you check that k ≥ 11 is the solution set to the inequality k + 14 ≥ 25?

Mathematics
1 answer:
Andreyy893 years ago
8 0

Answer:

K= 11

Step-by-step explanation:

You solve for K by subtracting 14 by 25.

25-14= 11

When k is pluged into k\geq 11 the statement is true because it is equal to 11.

When plugged into k+14\geq25;

11+14 =25.

That statement is also true because 25 is equel to 25.

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If x=10^a , y=10^b and x^b.y^a=100.prove that xy=1​
BabaBlast [244]

Answer:

ab=1

Step-by-step explanation:

Assuming that you meant ab=1

x=10^{a}\\\\y=10^b\\\\x^b*y^a=100\\\\(10^a)^b*(10^b)^a=100\\\\10^{ab}*10^{ba}=100\\\\10^{ab+ba}=100\\\\10^{2ab}=100\\\\(10^2)^{ab}=100\\\\100^{ab}=100\\\\ab=1this is because the exponents have to be equal

8 0
3 years ago
"why does the value of a converging alternating series with terms that are nonincreasing in magnitude lie between any two consec
Sergio039 [100]

The objective is to state why the value of converging alternating seies with terms that are non increasing in magnitude lie between any two consecutive terms of partial sums.

Let alternating series

<span>Sn = partial sum of the series up to  n terms</span>

{S2k} = sequence of partial sum of even terms

{S2k+1} = sequence of partial sum of odd terms

 

As the magnitude of the terms in the alternating series are non-increasing in magnitude, sequence {S2k} is bounded above by S1 and sequence {S2k+1} is bounded by S2. So, l lies between S1 and S2.

In the similar war, if first two terms of the series are deleted, then l lies in between S3 and S4 and so on.

Hence, the value of converging alternating series with terms that are non-increasing in magnitude lies between any two consecutive terms of partial sums. So, the remainder Rn = S – Sn alternating sign

<span> </span>

4 0
3 years ago
Thanks......................
maksim [4K]

Answer:

-  \frac{x \times 5}{(4x + 36)(3x - 21)

3 0
3 years ago
Hrs 45 min 67+ hrs 3. min 67​
12345 [234]

Answer:

hrs 50   min 14

Step-by-step explanation:

hrs 45 min 67 = hrs 46 min 7

hrs 3. min 67​ = hrs 4 min 7

Total

  hrs 46 min 7

+   hrs 4 min 7

————————

 hrs 50   min 14

5 0
3 years ago
How would you write 8^5 as a multiplication expression? A. 8 × 5 B. 8 × 8 × 8 × 8 × 8 C. 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5
dsp73

Answer:

the answer is B

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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