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Artemon [7]
3 years ago
5

Solve the inequality to - 1/3k >= 2

Mathematics
1 answer:
Xelga [282]3 years ago
5 0

Answer;k≤−6

Step-by-step explanation:(

3

−1

)*(

−1

3

k)≥(

3

−1

)*(2)=

k≤−6

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A(1)= -13 <br><br> a(n)= a(n-1)+4 <br><br> Find the 2nd term in the sequence
eimsori [14]

The second term of the arithmetic sequence is:

a₂= -9

<h3>How to find the second term in the sequence?</h3>

Here we have an arithmetic sequence, such the the recursive formula is:

aₙ = aₙ₋₁ + 4

So to get each term, we need to add 4 to the previous one.

We know that the first term is:

a₁ = -13

Then the second term will be:

a₂ = a₁ + 4 = -13 + 4 = -9

Learn more about arithmetic sequences:

brainly.com/question/6561461

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7 0
1 year ago
In a shipment of 71 vials, only 13 do not have hairline cracks. If you randomly select 2 vials from the shipment, what is the pr
yanalaym [24]

Answer:

0.0313

Step-by-step explanation:

Given that in the shipment of 71 vials, only 13 do not have hairline cracks

Probability of not having a hairline cracks = \frac{13}{71}

If you randomly select 2 vials from the shipment

(Probability of not having a hairline cracks)' = \frac{13-1}{71-1} = \frac{12}{70}

what is the probability that none of the 2 vials have hairline cracks.

i.e (\frac{13}{71}) * (\frac{12}{70})

= 0.183 × 0.171

= 0.0313

Hence, the probability that none of the 2 vials have hairline cracks = 0.0313

6 0
3 years ago
A boat sails 20 miles wast of the port and then 15 miles south to an island how far is the boat from the port if you measure thr
sweet-ann [11.9K]

Answer:

25 miles

Step-by-step explanation:

Given: A boat sail 20 miles west of the port and then 15 miles south to an island.

Picture attached.

The distance from port to island could be measured in a straight line. It will form a hypotenous.

∴ we can use Pythogorean theorem to find the distance.

h^{2} = a^{2} +b^{2}

Where, "a" is adjacent= 20 miles and "b" is opposite= 15 miles.

h^{2} = 20^{2} +15^{2}

⇒ h^{2} = 400+225= 625

⇒h^{2} = 625

⇒h= \sqrt{625}= \sqrt{25^{2} }

We know \sqrt{x^{2} } = x.

∴h= 25\ miles

∴ Distance of Port from the Island is 25 miles.

6 0
4 years ago
The lateral area of the prism is 240 square inches. Find the total surface area.​
e-lub [12.9K]

Answer:

Its C, 288 square inches

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Need help on this thank you
krok68 [10]

Answer:

a=7

Step-by-step explanation:

24^2+a^2=25^2

576+a^2=625

49=a^2

a=7

5 0
3 years ago
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