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Sveta_85 [38]
3 years ago
6

The first tern of an arithmetic sequence is -3 and the fifteenth term id 53. What is the common difference of the sequence?

Mathematics
1 answer:
arsen [322]3 years ago
5 0
The common difference is 4. U know that the formula is the first term + d(n -1). N-1 is 14 so u know that 14 times a number needs to equal 56 because the first term is -3 and 56-3 is 53. 14 * 4 is 56. So the common difference is 4
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Why do whole numbers raised to an exponent get bigger while fractions raised to an exponent get smaller
Brilliant_brown [7]

Answer:

when you multiply a whole number by itself it will obviously get bigger.

4 to the 2nd power equals 16 because 4x4 = 16

if you were to multiply a smaller number though, it wouldn't get as big.

Each number you put to the same exponent will not get bigger at the same rate since each number isnt being multiplied by the same thing.

ex. 4 and 6 are raised to the second power both dont get multiplied by the same number 4 is multiplied by 4, and 6 by 6, therefore the bigger the number the bigger it grows.

Fractions get smaller for this reason when you have the fraction 2/3 raised to the second, both numbers must be raised. 2 to the second equals 4 while 3 to the second is 9.

1/2 to the second would then equal 1/4 since 1 to the second equals 1 and 2 to the second equals 4.

Step-by-step explanation:

5 0
3 years ago
Two angles of a triangle have measures of 75and 62 degrees . What is the measure of the third angle?
777dan777 [17]

9514 1404 393

Answer:

  D. 43 degrees

Step-by-step explanation:

The sum of angles in a triangle is 180°. If x represents the measure of the third angle, then ...

  75° +62° +x = 180°

  137° +x = 180° . . . . . . . . . collect terms

  x = 180° -137° = 43° . . . . subtract 137° from both sides of the equation

The third angle measures 43°.

4 0
3 years ago
How the heck do I do this?!
Luden [163]
The answer would be b
8 0
3 years ago
Read 2 more answers
Least common multiple of 30 25 4
White raven [17]

Answer:

The least common multiple of 30, 25, 4 is 150.

Step-by-step explanation:

The given numbers are 30, 25 and 4.

The factors of given numbers are

30=2\times 3\times 5

30=5\times 5

4=2\times 2

The L.C.M of given numbers is a smallest number that divides the given numbers completely.

L.C.M.=\frac{2\times 3\times 5\times 5\times 5\times 2\times 2}{5\times 2}

L.C.M.=2\times 3\times 5\times 5\times 2=150

Therefore the least common multiple of 30, 25, 4 is 150.

5 0
3 years ago
You are on a cycling trip around Europe with friends.
vekshin1

Answer:

22°C

Step-by-step explanation:

(16 + 20 + 24 + 28 + 28 + 23 + 15)/7 = 22°C

7 0
3 years ago
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