Find the circumference and area of a circle with a diameter of 10 inches. Leave your answers in terms of pie

Mathematics

1 answer:

AleksAgata [21]3 years ago

7 0

Area: 78.5 inches squared
Circumference: 31.4

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Write the first five terms of the geometric sequence in which a1=8 and the common ratio is -1/2.

Oliga [24]

Answer:

First five terms are:

8 , (-4) , 2 , (-1) , (1/2)

Step-by-step explanation:

$a_{1}=8 \\\\r = \frac{-1}{2}\\\\a_{2}=\frac{-1}{2}*a_{1}= \frac{-1}{2}*8= -4\\\\a_{3}=\frac{-1}{2}*a_{2}=\frac{-1}{2}*-4=2\\\\a_{4}=\frac{-1}{2}*a_{3}=\frac{-1}{2}*2=-1\\\\a_{5}=\frac{-1}{2}*a_{4}=\frac{-1}{2}*-1=\frac{1}{2}$

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3 years ago

What are the domain restrictions of the function f(x) = the quantity of x squared plus 6x plus 9, all over 3x plus 15.

dangina [55]

Answer:

x = - 5

Step-by-step explanation:

Given

f(x) = $\frac{x^2+6x+9}{3x+15}$

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve : 3x + 15 = 0 ⇒ 3x = - 15 ⇒ x = - 5 ← excluded value

Domain x ∈ R , x ≠ - 5

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3 years ago

4 2/3 divided by 1/2 in fraction form

BlackZzzverrR [31]

Answer:

9 1/3

Step-by-step explanation:

4 2/3 = 14/3

14/3/1/2

14/3 x 2/1