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2 years ago

When factored completely, the expression p4 - 81 is equivalent to ....

Mathematics

1 answer:

S_A_V [24]2 years ago

6 0

The answer is option 3 (p^2+9)(p+3)(p-3) because you use the difference of squares formula

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Abby has 96 songs on her ipod on 8 playlists.if each playlist is the same lenght, how many songs are on each

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2 years ago

Read 2 more answers

Solve the inequality. -4x + 15 < -21

Dmitriy789 [7]

Answer:

x>9

Step-by-step explanation:

-4x + 15 < -21

Subtract 15 from each side

-4x + 15-15 < -21-15

-4x < -36

Divide each side by -4, remembering to flip the inequality

-4x/-4> -36/-4

x >9

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3 years ago

BD is the bisector of angle ABC , angle ABD = (7x+2) and DBC = 2(46- x) find the measure of angle ABC.

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2 years ago

Write these series with summation notation. 1,4,9,16...

maksim [4K]

Answer: $\sum\limits_{i=1}^{n} n^2$ , where n is a natural number.

Step-by-step explanation:

A series can be represented in a summation or sigma notation.

Greek capital letter, ∑ (sigma), is used to represent the sum.

For example: $\sum\limits_{n=1}^{\infty} n=1+2+3+4+5+...$ , where n is a natural number.

The given series : 1,4,9,16 which can be written as $1^2, 2^2, 3^2,...$ .

So , we can write it as

$\sum\limits_{n=1}^{\infty} n^2$ , where n is a natural number.

7 0

2 years ago

Current government spending to fund public schools is about 6×1011 dollars per year. The average cost nationally for a student t

NeX [460]

60000000 students can attend public schools with the current funding

<em><u>Solution:</u></em>

Given that Current government spending to fund public schools is about $6 \times 10^{11}$ dollars per year

The average cost nationally for a student to attend a public school for a year is about $10,000

To find: number of students can attend public schools with the current funding

$\text{ current funding } = 6 \times 10^{11} \text{ dollars}$

$\text{ average cost for 1 student } = 10000 \text{ dollars }$

Therefore,

$\text{ number of students } = \frac{\text{ current funding }}{\text{ average cost of 1 student}}$

Substituting the values we get,

$\text{ number of students } = \frac{6 \times 10^{11}}{10000}\\\\\rightarrow \frac{6 \times 10^{11}}{10000} = \frac{6 \times 10^{11}}{10^4}\\\\\rightarrow \frac{6 \times 10^{11}}{10^4} = 6 \times 10^{11-4} = 6 \times 10^7\\\\\rightarrow 6 \times 10^7 = 60000000$

Thus 60000000 students can attend public schools with the current funding

6 0

2 years ago