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2 years ago

If two cubes have edges of 1 and 2 , what is the sum of their volume???

Mathematics

1 answer:

Ivan2 years ago

7 0

Volume of a cube: V = s^3, where s is the length of the edge.

So, the sum of them will be 1^3 + 2^3 = 9

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A defunct website listed the "average" annual income for Florida as $35,031. What is the role of the term average in statisti

rodikova [14]

Answer:

Step-by-step explanation:

Average is the sum of the items in a data divided by the number of items in the data. The role of average is to determine a representative value for the given set of data. What average refers to in statistics is the arithmetic mean. There are other types of mean as well. Therefore, what we are referring to in this scenario is the arithmetic mean. Therefore, another term should not be used in place of average. Therefore, the correct option is

C. The term average is often used in statistics to represent the mean.

5 0

2 years ago

A second particle, Q, also moves along the x-axis so that its velocity for 0 £ £t 4 is given by Q t cos 0.063 ( ) t 2 v t( ) = 4

Vladimir79 [104]

Answer:

The time interval when $V_Q(t) \geq 60$ is at $1.866 \leq t \leq 3.519$

The distance is 106.109 m

Step-by-step explanation:

The velocity of the second particle Q moving along the x-axis is :

$V_{Q}(t)=45\sqrt{t} cos(0.063 \ t^2)$

So ; the objective here is to find the time interval and the distance traveled by particle Q during the time interval.

We are also to that :

$V_Q(t) \geq 60$ between $0 \leq t \leq 4$

The schematic free body graphical representation of the above illustration was attached in the file below and the point when $V_Q(t) \geq 60$ is at 4 is obtained in the parabolic curve.

So, $V_Q(t) \geq 60$ is at $1.866 \leq t \leq 3.519$

Taking the integral of the time interval in order to determine the distance; we have:

distance = $\int\limits^{3.519}_{1.866} {V_Q(t)} \, dt$

= $\int\limits^{3.519}_{1.866} {45\sqrt{t} cos(0.063 \ t^2)} \, dt$

= By using the Scientific calculator notation;

distance = 106.109 m

4 0

2 years ago

Simplify -3y+2x-5y-7x

Sphinxa [80]

<h3><em><u>Simplify -3y+2x-5y-7x is:</u></em></h3><h3>-8y - 5x</h3>

<em><u>Solution:</u></em>

<em><u>Given that, we have to simplify</u></em>

$-3y + 2x-5y-7x$

We can simplify the above expression by combining the like terms

Like terms are terms that has same variable ( with same exponent) with same or different coefficient

From given,

$-3y + 2x-5y-7x$

Here, like terms are -3y and -5y

And 2x and -7x

Group the like terms

$-3y-5y+2x-7x$

Combine the like terms

$-8y -5x$

Thus the given expression is simplified

6 0

2 years ago

Given the following system of equations: -4x+8=16, 2x+4y=32 what action was completed to create this new equivalent system of eq

castortr0y [4]

The equation (1) is divided by 2 to create new equivalent system of equations.

Step-by-step explanation:

The given systems of equations are:

$-4x+8y=16\,\,\,(1)\\2x+4y=32\,\,\,(2)$

Considering 8y instead of 8 in eq(1)

We need to identify what action was completed to create this new equivalent system of equations? $-2x+4y=8, 2x+4y=32$

Comparing given equations we came to know that equation(1) is divided by 2 to get the new equation i.e

$-4x+8y=16\\Divide\,\,by\,\,2:\\-2x+4y=8$

While second equation is same as given.

So, The equation (1) is divided by 2 to create new equivalent system of equations.

Keywords:System of Equation

Learn more about System of Equation at:

#learnwithBrainly

4 0

2 years ago

All the items on the sale rack were 75 percent off their original price.

tresset_1 [31]

Answer:

112 $ is the original price

Step-by-step explanation:

$x \times 0.75 = 84 \\ x = 84 \div 0.75 \\ x = 112$

you have to think that the original price multiplied by 0.75 (also known as 75%) gave the result of what he saves i.e 84 $. So we put up an equation with the original price multiplied by 75% which equals the 84 $ he saved on buying that item on sale

4 0

2 years ago