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3 years ago

Is the expression x3•x3•x3 equivalent to x3•3•3? Why or why not? Explain your reasoning.

1 answer:

3 0

It is not because when numbers have an exponent and are multiplied, the exponents are added.
For example:
$x^{3}$ × $x^{3}$ × $x^{3}$ = $x^{9}$
When a number with an exponent is multiplied with a whole number, the coefficients are multiplied. In this case $x^{3}$ has an imaginary 1 being multiplied to it, so 1 will be multiplied to the other numbers.
$1 x^{3}$ × 3 × 3 = $9x^{3}$
Therefore, the expressions are not the same because the second equation does not have other variables being multiplied to it.

You might be interested in

If 0.65 AU equal 1 inch how much would 0.05 AU equal and explain.

mart [117]

Answer:

0.05 AU corresponds to the 0.0769 Inches(This calculation is not possible in real time world)

Step-by-step explanation:

Given:

0.65 corresponds to 1 inch

To Find:

0.05 AU corresponds to how many inches.

Solution:

The AU is astronomical unit which is preferred as the mean distance between earth and sun.

AU is too big unit and used in space distance calculation.

But here for mathematical calculation,

0.65 AU corresponds to 1 inch

then 0.05 AU corresponds to x inch(es)

Now cross multiplying the quantities we get ,

0.65x=0.05*1

x=0.05/0.65

x=0.0769 inches corresponds to 0.05 AU

(Preferred for this example only)

(Remember that this calculation is hypothetical and practically incorrect to use it).

8 0

3 years ago

Given: m∠EYL=72° Find: mEHL , mLVE

White raven [17]

Answer:

Part 1) The measure of arc EHL is $108\°$

Part 2) The measure of angle LVE is $54\°$

Step-by-step explanation:

step 1

Let

x-----> the measure of arc EHL

y----> the measure of arc EVL

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

$m$

we have

$m$

substitute

$72\°=\frac{1}{2}(y-x)$

$144\°=(y-x)$

$y=144\°+x$ ------> equation A

Remember that

$x+y=360\°$ -----> equation B ( complete circle)

substitute equation A in equation B and solve for x

$x+(144\°+x)=360\°$

$2x=360\°-144\°$

$x=216\°/2=108\°$

Find the value of y

$y=144\°+x$

$y=144\°+108\°=252\°$

therefore

The measure of arc EHL is $108\°$

The measure of arc EVL is $252\°$

step 2

Find the measure of angle LVE

we know that

The inscribed angle measures half that of the arc comprising

Let

x-----> the measure of arc EHL

$m$

we have

$x=108\°$

substitute

$m$

3 0

3 years ago

Inez earns 160 per month by babysitting she saves 25% of her monthly salary if your salary increases by 10% how much will she no

Simora [160]

That means she will start saving $44 a month instead of the $40 she was saving bafore

3 0

4 years ago

(Statistics and Probability) Jim runs a smoothie stand in the mall, and the flavors he sells are banana, kiwi, and grape. He wan

aliya0001 [1]

Answer:

Step-by-step explanation:

57% kiwi

44% banana

19% grape

Add all these up and it Will Be 120

3 0

3 years ago

Help. Interpreting Graphs Of Proptional Relasionships. !

maksim [4K]

<h2>As the graph shows the cost of apples at a local market, Use the graph to answer problems 1-3</h2>

Part 1)

What is the cost of 1 apple and of 3 apples? How do you know?

Answer:

From the given graph which shows the cost of apples at a local market, it is clear that:

When we buy 1 apple, the cost is indicating 0.5+ (0.5/2) = 0.5+0.25 = $0.75

We know because x-axis is representing the number of apples and y-axis is representing the cost.

Therefore, when the number of apples is 1 on x-axis, then the cost is showing $0.75 on y-axis.

also

when we buy 3 apple, the cost is indicating 2+ (0.5/2) = 2+0.25 = $2.25

We know because x-axis is representing the number of apples and y-axis is representing the cost.

Therefore, when the number of apples is 3 on x-axis, then the cost is showing $2.25 on y-axis.

Part 2)

What does the point (0, 0) represent in this context?

The (0, 0) represents the origin of the graph.

It means that the cost will be zero US dollars if you do not buy any apple. In other words, for 0 number of apples, the cost will be $0.

Part 3)

What does the point (2, 1.5) represent in this context?

The (2, 1.5) represents that when you buy 2 apples, the cost for buying 2 apples will be $1.5.

We know because x-axis is representing the number of apples and y-axis is representing the cost.

Therefore, when the number of apples is 2 on x-axis, then the cost is showing $1.5 on y-axis.

6 0

3 years ago