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3 years ago

a biologist counted 10,000 migrating monarch butterflies. how do you express 10,000 as a power of 10

Mathematics

2 answers:

Brums [2.3K]3 years ago

6 0

<u>Answer:</u>

10 $^4$

<u>Step-by-step explanation:</u>

We know that a biologist counted 10,000 migrating monarch butterflies and we are to write this number of butterflies as a power of 10.

Numbers such as 10, 100, 1000, 10000 can be expressed as a power of 10 denoted by $10^n$ where the power $n$ is the number of zeros in that number.

So we can write 10,000 as:

$10^4$

Sati [7]3 years ago

4 0

Answer:

10000 = $10^{4}$ .

Step-by-step explanation:

If a number is given in terms of 10, 100, 1000, 10000 then the number can be represented as $10^{n}$

where n is number of 0 present in the given number.

Therefore for a biologist who counted butterfly as 10,000 may be represented as $10^{n}$ where n = 4.

So 10000 = $10^{4}$

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Joanna has been saving for retirement for 40 years. She made monthly deposits of $275 and earned 5.6% annual interest, compounde

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Joanna deposited $132000 and her interest amount is $359730.35

<u>Step-by-step explanation:</u>

Monthly deposit = $275

Interest = 5.6%

Time = 40 years

After 40 years her account balance = $491730.35

If she deposit $275 monthly then after 40 years she will have deposited ,

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3 years ago

Find the measure of the missing angle.

kumpel [21]

Answer:

Step-by-step explanation:

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3 years ago

Add and simplify 9/16 + 1/2 =

harkovskaia [24]

$\boxed{\boxed{ \ \frac{9}{16} + \frac{1}{2} = \frac{17}{16} = 1\frac{1}{16} \ }}$

<h3>Further explanation</h3>

We will work on adding two fractions correctly with different denominators. The two denominators must be equated first.

In order to add these fractions, we need finding the common denominator by multiplying both denominators together.

$\boxed{\frac{9}{16} + \frac{1}{2} = \ ?}$

Both denominators, 16 and 2, are multiplied by one another. What about numerators? Pay attention to the treatment of each fraction.

$\boxed{= \big( \frac{9}{16} \times \frac{2}{2} \big) + \big( \frac{1}{2} \times \frac{16}{16} \big)}$

$\boxed{= \frac{18}{32} + \frac{16}{32}}$

$\boxed{= \frac{34}{32}}$

Let's take a break here to think.

Alternatively, develop a sharper method as below.

$\boxed{= \frac{(9 \times 2) + (16 \times 1)}{16 \times 2}}$

Note how this is performed. Absolutely indeed, cross-multiplication!

$\boxed{= \frac{18 + 16}{32}}$

$\boxed{= \frac{34}{32}}$

The numerator and denominator are divided by two to make it a simple fraction. After that, we simplify again into mixed fractions.

$\boxed{\boxed{ \ \frac{9}{16} + \frac{1}{2} = \frac{17}{16} = 1\frac{1}{16} \ }}$

Gently let's take a break once more to think strategically.

Observing the steps above, we still find a large number when there is a direct multiplication of the two denominators. Are there more highly recommended steps? Of course there is!

$\boxed{\frac{9}{16} + \frac{1}{2} = \ ?}$

The denominators 2 and 16 have LCM = 16. So, we convert the given fractions into equivalent fractions with denominator 16.

$\boxed{= \big( \frac{9}{16} \times \frac{1}{1} \big) + \big( \frac{1}{2} \times \frac{8}{8} \big)}$

$\boxed{= \frac{9}{16} + \frac{8}{16}}$

$\boxed{= \frac{17}{16}}$

Do not forget simplifying again into mixed fractions.

$\boxed{\boxed{ \ \frac{9}{16} + \frac{1}{2} = \frac{17}{16} = 1\frac{1}{16} \ }}$

In the form of fractions, the steps that must be considered are

equate the denominator,
simplify fractions, and
for the final answer, convert fractions to mixed fractions or decimal forms

<h3>Learn more</h3>

How do I solve brainly.com/question/1682776
90 is ¹/₁₀ of _________? brainly.com/question/96882
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Keywords: add and simplify 9/16 + 1/2 =, solve, 2/7m - 1/7 = 3/14, operations, multiply, divide, fraction, equate, common denominator, numerator, both, LCM, alternative, different, method, way, steps, simple, mixed, convert, equivalent, cross-multiplication

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3 years ago

R=2t/3+v, solve for t

BartSMP [9]

I wrote my decision on a piece of paper.

5 0

3 years ago

Please help thank you.

alex41 [277]

Hello!

The degrees in a circle add to 360°

Since WZ is a diameter the angles on one side of the line add to 180°

We know that the angles to the right of WZ add to 180 and the angle of XW is 63.

We add these to get ZWX

180 + 63 = 243

The answer is 243°

Hope this helps!

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3 years ago

a biologist counted 10,000 migrating monarch butterflies. how do you express 10,000 as a power of 10​

a biologist counted 10,000 migrating monarch butterflies. how do you express 10,000 as a power of 10