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goblinko [34]
3 years ago
11

The volume of a rectangular prism is given by the formula V = lwh, where l is the length of the prism, w is the width, and h is

the height. Suppose a box in the shape of a rectangular prism has length (2a + 11), width (5a – 12), and height (a + 6). Which expression represents the volume of the box?
v=(2a+11)(5a-12)(a+6)
v=(10a^2-24a+55a-132)(a+6)
v=(10a^3+60a^2-24a^2-144a+55a^2+330a-132a-792
v=10a^3+60a^2-24a^2+55a^2-144a+330a-132a-792
v=10^3+91a^2+54a-792
Physics
1 answer:
Verizon [17]3 years ago
4 0
<span> For this case the volume of the box is given by:
</span> V = lwh&#10;
<span> Substituting values we have:
</span> V = (2a + 11) (5a - 12) (a + 6)&#10;
<span> Rewriting we have:
</span> V = (10a ^ 2-24a + 55a-132) (a + 6)&#10;&#10;V = 10a ^ 3-24a ^ 2 + 55a ^ 2-132a + 60a ^ 2-144a + 330a-792
<span> Grouping terms of equal degree we have:
</span> V = 10a ^ 3 + 60a ^ 2 -24a ^ 2 + 55a ^ 2 -132a -144a + 330a-792
<span> Adding terms of equal degree we have:
</span> V = 10 ^ 3 + 91a ^ 2 + 54a-792&#10;
<span> Answer:
 the volume of the box is:
 All the expressions given.</span>
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8 0
3 years ago
Which of the following represents a possible magnitude for the force of static friction when Xavier applied 72.1 Newtons of forc
lana66690 [7]

The possible magnitude for the force of static friction on the stationary cart is 72.1 N.

The given parameters:

  • <em>Applied force on the cart, F = 72.1 N</em>

<em />

Based on Newton's second law of motion, the force applied to object is directly proportional to the product of mass and acceleration of the object.

F = ma

Static frictional force is the force resisting the motion of an object at rest.

\Sigma F = 0\\\\F -F_f = 0

where;

F_f is the frictional force

F= F_f \\\\72.1 = F_f\\\\F_f = 72.1\  N

Thus, the possible magnitude for the force of static friction on the stationary cart is 72.1 N.

Learn more about Newton's second law of motion: brainly.com/question/25307325

8 0
2 years ago
A wave that can travel with or without a medium is called a(n)
denis23 [38]

Answer:

C

Explanation:

Answer  A: A surface wave is a wave that travels along the surface of a medium.

Answer B, C: Electromagnetic waves are waves that have no medium to travel whereas mechanical waves need a medium for its transmission.

Answer D: The sentence in the answer D does not fit to the blank in the definition ( of the question )

......

Hope this answer can help you.

5 0
3 years ago
A beaker weighs 0.4N when empty and1.4N when filled with water what does ot weigh when filled with brine of density 1.2 g/cm3
PtichkaEL [24]

Answer:2.47

Explanation:

So, the beaker weighs 1.40N when filled with water, brine of density weighs about 1.7N, you add the density + water. Have a good day!

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2 years ago
One end of a metal rod is in contact with a thermal reservoir at 745. K, and the other end is in contact with a thermal reservoi
Masteriza [31]

Answer:

a)S_1=-9.65}\ J/K

b)S_2=71.18\ J/K

c) 0 J/K

d)S= 61.53 J/K

Explanation:

Given that

T₁ = 745 K

T₂ = 101 K

Q= 7190 J

a)

The entropy change of reservoir 745 K

S_1=-\dfrac{7190}{745}\ J/K

Negative sign because heat is leaving.

S_1=-9.65}\ J/K

b)

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S_2=\dfrac{7190}{101}\ J/K

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c)

The entropy change of the rod will be zero.

d)

The entropy change of the system

S= S₁ + S₂

S = 71.18 - 9.65 J/K

S= 61.53 J/K

3 0
3 years ago
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