Answer:
Choice B and Choice C
Step-by-step explanation:
Hello! This is how I solved this question:
(10 x 8 x 2) + (3 x 3 x 4) = 160 + 36 = 196ft^3
(10 x 3 x 2) + (5 x 4 x 2) = 60 + 40 = 100ft^3
(8 x 4 x 2) + (3 x 6 x 2) = 64 + 36 = 100ft^3
(8 x 10 x 3) + (4 x 5 x 2) = 240 + 40 = 280ft^3
Choice B and Choice C are the same values, and knowing that you need two of the same values for the volume of the figure must be the same. Giving you your two answers from simply multiplying and adding the answers.
Hope this helps, don't hesitate to ask if you have additional inquiries!
Answer:
Approximately
, assuming that
.
Step-by-step explanation:
When the force
is constant, moving by
in the direction of the force would do a work of
.
However, in this example, as an increasing portion of the chain gets lifted up, the force lifting the chain would increase in size. Hence, apply the integral form of this equation.
Let
denote the force required to lift the chain when the height above the ground is
meters. At that moment, exactly
of the chain would be above the ground. The mass of that much of the chain would be
the mass of the whole chain.
.
Integrate with respect to
:
.
In other words, it would take approximately
of energy to raise one end of the chain to that height of
.
The property that best matches the equation is the associative property.
<h3>What is an associatve property?</h3>
It should be noted that the associative property simply implies that the way the factors are grouped in a multiplication problem doesn't change the product.
In this case, since it's illustrated that (5 × 3) × 2 = (2 × 3) × 5. They both will give a value of 40.
In this case, the associative property is illustrated.
The complete question is:
Write the property that best matches the following: (5 × 3) × 2 = (2 × 3) × 5.
Learn more about associative property on:
brainly.com/question/13181
#SPJ1
Answer:
-50x
Step-by-step explanation:
The rate of change is the dependent variable, which means that is the number that can change due to another number or variable. The only dependent variable is -50x, Which means this is the rate of change.
Answer:
![b.) (7,0) and (-2,0)](https://tex.z-dn.net/?f=b.%29%20%287%2C0%29%20and%20%28-2%2C0%29)
Step-by-step explanation:
To find the x-intercept, substitute 0 for y and solve for x:
![0=2(x-7)](https://tex.z-dn.net/?f=0%3D2%28x-7%29)
Divide both sides by 2:
![\frac{0}{2}=\frac{2(x-7)}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B0%7D%7B2%7D%3D%5Cfrac%7B2%28x-7%29%7D%7B2%7D)
![0=x-7](https://tex.z-dn.net/?f=0%3Dx-7)
Add 7 to both sides to isolate x:
![0+7=x-7+7\\7=x](https://tex.z-dn.net/?f=0%2B7%3Dx-7%2B7%5C%5C7%3Dx)
The x-intercept for
is 7 at point
.
![0=(x+2)](https://tex.z-dn.net/?f=0%3D%28x%2B2%29)
Remove parentheses:
![0=x+2](https://tex.z-dn.net/?f=0%3Dx%2B2)
Subtract 2 from both sides:
![0-2=x+2-2](https://tex.z-dn.net/?f=0-2%3Dx%2B2-2)
![-2=x\\x=-2](https://tex.z-dn.net/?f=-2%3Dx%5C%5Cx%3D-2)
The x-intercept for
is -2 at point
.
Finito.