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3 years ago

The equation for the circle below is x^2+y^2=64 what is the length of the circle’s radius

Mathematics

1 answer:

FromTheMoon [43]3 years ago

3 0

Answer:

Step-by-step explanation:

The standard form of an equation of a circle:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the equation:

$x^2+y^2=64\\\\(x-0)^2+(y-0)^2=8^2$

Therefore the center is (0, 0) and the radius r = 8

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The number of electoral votes each state is assigned is determined by the size of its population every ten years. The chart show

sattari [20]

Answer:

D. $Q_3=47$

Step-by-step explanation:

We have been given a table that represents the the number of electoral votes California was assigned each decade of the past century. We are asked to find the 3rd quartile of our given data.

The number of votes are: 9, 13, 13, 22, 25, 32, 40, 45, 47, 54, 55.

We will use upper quartile formula to solve our given problem.

$Q_3=\frac{3}{4}*(n+1)^{\text{th term}}$ , where, n represents the number of elements in the data set.

We can see that our data set has 11 data points, so upon substituting n=11 in above formula we will get,

$Q_3=\frac{3}{4}*(11+1)^{\text{th term}}$

$Q_3=\frac{3}{4}*(12)^{\text{th term}}$

$Q_3=3*3^{\text{th term}}$

$Q_3=9^{\text{th term}}$

Now let us count 9th term of our data set. Upon counting our data set from left to right we can see that 9th term of our data set is 47, therefore, 3rd quartile of our given data is 47 and option D is the correct choice.

3 0

3 years ago

Read 2 more answers

Expand the following expression:<br> (2x-1)(x+4)

sesenic [268]

Answer:

2x² +7x - 4

Step-by-step explanation:

(2x-1)(x+4)

2x² + 8x - x - 4

simplify:

2x² +7x - 4

8 0

2 years ago

Which of the following expressions can be factored by grouping? (Select all that apply.)

Greeley [361]

Answer:

Options (3), (4) and (5)

Step-by-step explanation:

1). a² - 9a + 7ab + 63b

= a(a - 9) + 7b(a + 9)

Now we can not solve this problem further.

Therefore, can't be factored by grouping.

2). 3a + 4ab - b - 12

= a(3 + 4b) - 1(b - 12)

We can't solve it further.

Therefore, can't be factored by grouping.

3). ab + 6b - 2a - 12

= b(a + 6) - 2(a + 6)

= (b - 2)(a + 6)

We can be factored this expression by grouping.

4). x³ + 9x²+ 7x + 63

= x²(x + 9) + 7(x + 9)

= (x² + 7)(x + 9)

Therefore, the given expression can be factored by grouping.

5). ay² + a - y² - 1

= a(y² + 1) - 1(y² + 1)

= (a - 1)(y² + 1)

This expression can be factored by the grouping method.

Options (3), (4) and (5) are the correct answers.

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3 years ago

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lora16 [44]

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2 years ago

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