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3 years ago

Write this as a power of 2. ex ( 2^n) requires knowledge of negative exponents

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

7 0

Answer:

Step-by-step explanation:

$\frac{32}{ \sqrt[8]{16} } \\$

Simplify

$\frac{32}{1.414213562} \\ \\ = 22.627417$

Method 2 :

By rationalizing the denominator

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when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = $a^2$

6 is subtracted from the square of a number = $a^2 - 6$

5 times the number = $5 \times a$

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

$a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0$

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation $ax^2 + bx + c = 0$ where $a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in this problem,

$a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6$

Substituting the values in above quadratic formula, we get

$\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}$

We have two solutions for "a"

$\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}$

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0

3 years ago

What are the answers for x, y, and z?

Galina-37 [17]

Answer:

x=-1 y=1 z=-.7?

Step-by-step explanation:

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3 years ago

Explain how your knowledge of place value helps you divide a number in the thousands by whole numbers to 10 give an example to s

lapo4ka [179]

Answer with Step-by-step explanation:

The value of a digit due to its position in a number is called as place value.

For example, there's a number

23450

2 is in ten thousands place and it has a place value of 20,000

3 is in thousands place and it has a place value of 3000

4 is in hundreds place and it has a place value of 400

5 is in tens place and has a place value of 50

0 is in unit or ones place and has a value of 0

When we divide the number by 10, we move every digit from its current place value to the right.

23450 divided by 10 = 2345

Now,

2 is in thousands place and it has a place value of 2,000

3 is in hundreds place and it has a place value of 300

4 is in tens place and it has a place value of 40

5 is in unit or ones place and has a place value of 5

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3 years ago

The speed (v) of a gear varies inversely as the number of teeth (t). If a gear that has 48 teeth makes 20 revolutions per minute

Svetradugi [14.3K]

Answer:

Step-by-step explanation:

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3 years ago

Jen is a baker and she wants to make cookies. She has 3 lbs. of butter in the refrigerator. Each batch of cookies requires 3/4 p

mihalych1998 [28]

4 batches of cookies

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3 years ago