All categories

3 years ago

One edge of a cube is measured and found to be 13 cm. the volume of the cube in m3 is ________.

1 answer:

7 0

Since a cube is defined to have the same measurement in all three dimensions, it's volume can be calculated by raising the measurement of one side to the power of three.

In the problem we are given a measurement in centimeters and we are tasked to find the volume in m³. To make the calculation easier, we can just convert the measurement immediately since we know 100cm = 1m. Following this conversion, 13cm will be equal to 0.13m.

For the volume we'll get: $0.13^{3}=0.002197$ cubic meters or $2.197*10^{3}$ cubic meters if you are more comfortable expressing it in scientific notation.

You might be interested in

What is the least common multiple of 6 and 10? Enter your answer in the box.

kondaur [170]

Least common multiple is both will multiply in to 30 but 10 will not multiply into 12.so the answer is 30

7 0

3 years ago

Read 2 more answers

Solve the system of equations. 10x+y=−20 y=2x2−4x−16 help?

grin007 [14]

If you have trouble with factorization, let me know.

8 0

3 years ago

Read 2 more answers

Which absolute value functions will be narrower than the parent function, f(x) = |x|? Check all that apply.

klio [65]

The correct answer is option 4 which is f(x) = 2.9|x| is narrower than the parent function f(x) = |x|

<h3>What is a function?</h3>

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given parent function is f(x)=|x|

Now we have to find which function from given choices will be narrower than the parent function.

Notice that adding or subtracting some number from the parent function only shifts the graph up, down, and left of the right side.

But that will not make the function narrower or broader.

So f(x) = |x – 2| and f(x) = |x| + 3, can't be the answer.

Multiplying by some positive real number which is more than 1, makes the function narrower.

Only f(x) = 2.9|x| from remaining choices fits that case.

Hence correct answer is option 4 which is f(x) = 2.9|x| is narrower than the parent function f(x) = |x|

To know more about functions follow

brainly.com/question/2833285

#SPJ1

4 0

2 years ago

If A ⊂ B, then A ∩ B = A ∪ B. always sometimes or never

Lisa [10]

Sometimes. Proof:

Assume $A\subset B$ .

Let $a\in A\cap B$ , so that $a\in A$ and $a\in B$ . Then of course $a\in A\cup B$ , so $A\cap B\subseteq A\cup B$ .

Now let $a\in A\cup B$ , so that $a\in A$ *or* $a\in B$ . Since $A\subset B$ , if $a\in A$ then $a\in B$ , so that $a\in A\cap B$ . But if $a\in B$ , then $a\not\in A$ , so it's not always the case that $a\in A\cap B$ , and therefore in general $A\cup B\not\subseteq A\cap B$ .

6 0

3 years ago

Use the 2016 marginal tax rates to compute the tax owed by the following person.

yan [13]

Answer:

$7271

Step-by-step explanation:

This tax rate table makes computing the tax unnecessarily complicated. For a taxable income amount of $46,000, the tax is computed as ...

0.25 × the amount over $37,650 + tax on $37650

And the tax on $37650 is computed as ...

0.15 × the amount of $37650 that is over $9275 + tax on $9275

And the tax on $9275 is computed as ...

0.10 × $9275 = $927.50

___

Then the tax on $37650 is ...

0.15 × ($37650 -9275) + 927.50 = $5183.75

And that makes the tax on $46000 be ...

0.25 × ($46000 -37650) + 5183.75 = $7271.25

This may be the number your computer is looking for.

___

All amounts on a US federal tax form should be rounded to the nearest dollar. Thus the actual tax owed on $46,000 is $7271.00.

_____

Further comments on the problem

The "taxable income" is the amount that appears on the tax form after deductions and exemptions are subtracted from total income. Hence those numbers in the table have no bearing on this problem.

Some tax tables give a formula specifically geared to the particular income range. Here, that formula might be

0.25×(taxable income) - $4228.75 . . . . . for income $37650–91150

It could also be written as ...

0.25×((taxable income) - $16915) . . . . for income $37650–91150

5 0

4 years ago