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4 years ago

Can you simplify (-2)^3=

Mathematics

1 answer:

sineoko [7]4 years ago

4 0

Answer:

The value of the given equation $(-2)^{3}$ is (-8).

Step-by-step explanation:

The given equation is $(-2)^{3}$ . we have to simplify the given equation to the possible simplified form.

Thus, $(-2)^{3}=(-2){\times}(-2){\times}(-2)$

= $(4){\times}(-2)$

= $(-8)$

Therefore, the value of the given equation $(-2)^{3}$ is (-8).

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In collin county there are approximately 834,000 people. If about 30,000 are under the age of 25 what fractional part are above

tresset_1 [31]

Do 30000 divided by 834000 times .1

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3 years ago

Zara is serving a fresh pie. She starts by cutting the pit in half, and then cuts each half into 4 equal pieces. What fraction o

Reptile [31]

C.

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4 years ago

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Plz help quick in the question in the pic

yaroslaw [1]

Answer:

The number is 92

Step-by-step explanation:

Let x equal the number

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Then it is tripled again

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3 years ago

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A 748-N man stands in the middle of a frozen pond of radius 4.0 m. He is unable to get to the other side because of a lack of fr

Ber [7]

Answer:

The man will take 64 seconds to reach to the south shore of the frozen pond.

Step-by-step explanation:

Given:

Weight of the man = 748 N Mass of the man, $(m)= \frac{W}{g}$ = $\frac{748}{9.8}$ = $76.32$ kg

Radius of the pond $(r)$ = 4 m

Mass of the textbook = 1.2 kg

Velocity at which the textbook is thrown = 4 ms^1

We have to find the velocity of the man after the throw.

Let the velocity is $V_m$ .

Now using law of conservation of momentum we can find the $V_m$ value.

$m_(_b_)V_b_(_i_) +m_(_m_)V_m_(_i_) =m_(_b_)V_b_(_f_)+m_(_m_) V_m_(_f_)$

Considering $V_m_(_f_)=V_m$

And initial velocity of both the man and book i.e $V_b_(_i_)=0,\ V_m_(i_)=0$

So,

⇒ $0 =m_(_b_)V_b_(_f_)+m_(_m_) V_m$

⇒ Plugging the values.

⇒ $V_m=-\frac{m_(_b_)V_b_(_f_)}{m_(_m_)}$

⇒ $V_m=-\frac{1.2\times 4}{76.32}$

⇒ $V_m=-0.062$ ms^-1

Here the negative velocity is meant for opposite direction of the throw.

Numerically we will write, $V_m = 0.062$

With this velocity the man will move towards south.

We have to calculate the time taken by the man to move to its south shore.

And we know $velocity(v)\times time(t) = distance(d)$

Let the time taken be $t$ and $v\times t = d$ and $d=r$ then, $V_m\times t=r$

Then

⇒ $t=\frac{radius\ (r)}{V_m}$

⇒ Plugging the values.

⇒ $t=\frac{4}{0.062}$

⇒ $t =64$ sec

The man will take 64 seconds to reach to the south shore of the frozen pond (circular).

5 0

3 years ago

A delivery truck driver charges a fixed base price of $6 for 2 miles.

stiv31 [10]

Answer:

Option B.

Step-by-step explanation:

It is given that a delivery truck driver charges a fixed base price of $6 for 2 miles.

After 2 miles, he charges an additional $2 for every mile and after 6 miles, he charges an additional $4 for every mile.

We need to describe the cost of the delivery truck between 1 mile and 2 miles.

In the given graph x-axis represents the distance in miles and y-axis represents the cost in dollars.

From the given graph it is clear that the value of function is constant between x=1 and x=2.

It means the cost of the delivery truck between 1 mile and 2 miles is constant.

Therefore, the correct option is B.

5 0

3 years ago