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3 years ago

Choose the ordered pair that is a solution to the system of equations. 3x - y = 9 2x + y = 6

Mathematics

1 answer:

Inessa [10]3 years ago

7 0

The answer is (3,1), hope that helps

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Does (-2)^n/( 3^n+1) converge or diverge?

hodyreva [135]

$\left|\dfrac{(-2)^n}{3^n+1}\right|=\dfrac{2^n}{3^n+1}$

As $n\to\infty$ , the sequence $a_n=\left(\dfrac23\right)^n$ converges to zero.

If you're talking about the infinite series

$\displaystyle\sum_{n\ge0}\dfrac{(-2)^n}{3^n+1}$

well we've shown by comparison that this series must also converge because we know any geometric series $\sum\limits_n r^n$ will converge as long as $|r|$ .

3 0

2 years ago

Find the value of x.<br> If necessary, you may learn what the markings on a figure indicate.<br> 74°

marissa [1.9K]

Answer:

x = 61

Step-by-step explanation:

Left hand triangle containing 1 angle of 74

Label the other angle opposite the marked side also as 74

Find the third angle. Call it y.

y + 74 + 74 = 180 Combine like terms

y + 148 = 180 Subtract 148 from both sides.

y = 180 - 148

y = 32

=============

Now work with the triangle on the right.

label the angle making up the right angle = z

32 + z = 90 These two angles are complementary = 90

32 - 32 + z = 90 - 32 Subtract 32 from both sides

z = 58 Use 58 wherever you see z

x + x + z = 180 Substitute

2x + 58 = 180 Subtract 58 from both sides

2x = 122 Divide by 2

x = 61

5 0

3 years ago

Read 2 more answers

Find P(6) when µ = 7

kondaur [170]

Answer:

Assume the random variable X has Poisson distribution.

The mean of X is given as

As mean of Poisson distribution is equal to...

6 0

2 years ago

A tennis ball is in a cylindrical container. The ball has a radius of 5 inches and the cylinder has a height of 8 inches. How mu

Nostrana [21]

Answer:

104.7 in^3

Step-by-step explanation:

Step one:

given data

The ball has a radius of 5 inches and

the cylinder has a height of 8 inches

Step two:

The volume of the cylinder

$v= \pi r^2 h$

substitute our data

$v= 3.142*5^2*8\\\\v=628.4in^3$

The volume of the ball

$v=4/3 \pi r^3$

substitute our data

$v= 4/3 *3.142*5^3\\\\v= 523.7 in^3$

The space will have a volume of

=628.4-523.7

=104.7 in^3

7 0

2 years ago

Find the missing term so that r2 + _____ + 100 forms a perfect square trinomial.

Blababa [14]

Answer:

B 20r

Step-by-step explanation:

r² + + 100

r² = (r ) ( ) signs are all positive. 100 = (10) (10) last number. so

(r + 10)(r + 10)

r(r+ 10) + 10(r + 10)

r² + 10r + 10r + 100

r² + 20r + 100

4 0

2 years ago