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3 years ago

1 kg = 1,000 g 27 kg =

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

4 0

Answer:

27000g

Step-by-step explanation:

27kg × 1000 = 27,000g

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An arithmetic sequence has a1 = 22 and a8 = 43. Find a15.

brilliants [131]

The 15th term of the arithmetic sequence $a_{15} = 64$

Option B is correct

The nth term of an arithmetic sequence is given as:

$a_{n} = a + (n - 1)d$

The first value, a = 22

$a_8 = a+(8 - 1)d\\a_8 = a + 7d$

Since $a_8 = 43$

$43 = 22 + 7d\\7d = 43 - 22\\7d = 21\\d = \frac{21}{7}\\d = 3$

The common difference, d = 3

$a_{15}= a + (15-1)d\\a_{15} = a + 14d\\a_{15} = 22 + 14(3)\\a_{15} = 22 + 42\\a_{15} = 64$

The 15th term of the arithmetic sequence = 64

Learn more here: brainly.com/question/24072079

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2 years ago

*100 points* A circle has a diameter with endpoints (-7, -1) and (-5, -9).

earnstyle [38]

Diameter

√(-7+5)²+(-1+9)²
√2²+8²
√4+64
√68
2√17

Radius

2√17/2
√17units

Now

Centre

(h,k)

(-7-5/2,-1-9/2)
(-12/2,-10/2)
(-6,-5)

Equation

(x-h)²+(y-k)²=r²
(x+6)²+(y+5)²=(√17)²
(x+6)²+(y+5)²=17

Option A

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