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ollegr [7]
3 years ago
14

What is the 5th term of an arithmetic sequence of 20 terms with first and last terms of 2 and 59, respectively

Mathematics
1 answer:
Verizon [17]3 years ago
8 0

Answer:

14

Step-by-step explanation:

aₙ = a₁ + (n-1)*d

59 = 2 + (20-1) * d

59 = 2 + 19d

19d = 59-2 = 57

d = 3

5th term: a₅ = 2 + 4 * 3 = 14

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How to find perimeter of a parallelogram​
solniwko [45]

Answer:

Step-by-step explanation:

Perimeter is always the sum of all the sides of a polygon.

Parallelogram has 4 sides and opposite sides are equal.

Perimeter of parallelogram = 2*(a+b)

4 0
4 years ago
The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with th
kaheart [24]

Answer:

3/10

Step-by-step explanation:

<em>Step 1 : Write the formula of calculating probability</em>

Probability = Number of favourable outcomes/Number of total outcomes

<em>Step 2 : Identify the favourable (requires) outcomes and the total outcomes</em>

  • Total outcomes are the total cards that are placed on the table = 10 cards
  • The favourable outcomes are the number of cards that have an even number on them.

       12, 14, 18 = 3 cards

<em>Step 3 : Substitute the values in the formula</em>

Probability = Number of favourable outcomes/Number of total outcomes

Probability = 3/10

Therefore, the probability of picking a card with and even number is 3/10.

!!

7 0
3 years ago
Elimination <br><br> 3x + 4y = 2<br> 4x - 4y = 12
pishuonlain [190]

To do this, add the equations together like this,

3x + 4y = 2  plus

4x - 4y = 12

-x = 14

Multiply the negative sign to both sides because the x cannot be a negative.

x = -14

Now plug in -14 for a x value in one equation, like this to get the y value:

3(-14) + 4y = 2

-42 + 4y = 2

Add 42

4y = 44

y = 11

Your x and y values are:

x = -14

y = 11  

6 0
3 years ago
Katrina is building a deck. She cuts 3 lengths of wood from a 72-inch board. The first length is 30 3.4 inches. The second lengt
stich3 [128]
Common denominators! 

<span>If you have to add... 3 fractions with 4 as the denominators: </span>
<span>Then you can combine the numerators: </span>

<span>a/c+ b/c = (a+b)/c and a/d + b/d + c/d = (a+b+c)/d </span>

<span>Let's plug in the numbers.</span>

<span>a=3, b=1, c=1, d =4 </span>
<span>3/4 + 1/4 + 1/4 = 5/4 or 1 1/4! </span>

<span>So the equation for the problem: </span>

<span>Lt = L1+ L2 + L3 + L4 or </span>
<span>L4 = Lt - L1 - L2 - L3 Plug in the numbers </span>

<span>L4 ( remains ) = L total, 72 - L1 ( first cut at 30 3/4 ) - L2 ( second cut 12 1/4 ) - L3 ( 16 1/4 ) </span>

<span>So 72 - 30 - 12 - 16 - 3/4 - 1/4 - 1/4 =? </span>
<span>( break this down into simple terms and do it in your head... </span>

<span>72 - 30 = 42, 42 - 21 = 30, 30 - 16 = 14, 14 - 3/4 = 13 1/4 - 1//4 = 13 - 1/4 = 12 3/4!</span>
8 0
3 years ago
PlsAnsweRRRRR<br><br><br><br>The median value is .
Anna11 [10]

Answer:

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. ... If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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