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inn [45]
3 years ago
15

Subtract: (11w^3 + 15) – (-11w^3)​

Mathematics
1 answer:
aleksandrvk [35]3 years ago
7 0
There his should help see below








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Simplify <br> 2/5(a+b)+3/5(a+c)
Sergeu [11.5K]
Distribute 2/5 and 3/5 into the ():
2/5(a+b)+3/5(a+c)

2/5 a+ 2/5 b+3/5 a+ 3/5 c

combine the like terms:
2/5 a+3/5 a= 5/5 a --> 1a --> a

new simplified equation:
a+2/5 b+3/5 c
3 0
3 years ago
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Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.
shutvik [7]
(12 8) is a solution
5 0
3 years ago
A) Expand and simplify (x + 4)(x-7)<br>​
saveliy_v [14]

Answer:

Expanded:x²-7x+4x-28

Simplified: x²-3x-28

Step-by-step explanation:

7 0
3 years ago
11/7 in a mixed fraction
Mama L [17]
7 goes into 11 one time, which leaves you with 1 4/7.
6 0
3 years ago
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The base of a solid is the region enclosed by the graphs of y=e^x, y=0, x=0, and x = 1. If each cross-section perpendicular to t
yanalaym [24]

Answer:

A

Step-by-step explanation:

The base of a solid in the region enclosed by the graphs of <em>y</em> = eˣ, <em>y</em> = 0, <em>x </em>= 0, and <em>x</em> = 1. Each cross-section perpendicular to the <em>x</em>-axis is an equilateral triangle. We want to find the volume of the solid.

Please refer to the graph below. We are concerned with the red region.

In order to find the volume, we essentially sum up the area of the figure at each <em>x</em> value. So, we integrate from <em>x </em> = 0 to <em>x </em>= 1.

The area for an equilateral triangle is given by:

\displaystyle A=\frac{\sqrt{3}}{4}s^2

Where <em>s</em> is the side length of the triangle.

Since the triangle lies perpendicular on the region, the side length of the triangle at <em>x</em> is simply <em>y</em>, which is eˣ.

Therefore, our volume is:

\displaystyle V=\int_0^1\frac{\sqrt3}{4}(y)^2\, dx

Substitute:

\displaystyle V=\int_0^1\frac{\sqrt3}{4}(e^x)^2\, dx

Evaluate the integral. Simplify:

\displaystyle V=\frac{\sqrt3}{4}\int_0^1e^{2x}\, dx

Integrate using u-substitution:

\displaystyle V=\frac{\sqrt3}{8}\left(e^{2x}\Big|_0^1\right)

Evaluate:

\displaystyle V=\frac{\sqrt3}{8}\left(e^{2(1)}-e^{2(0)} \right)

Therefore, the volume of the solid is:

\displaystyle V=\frac{\sqrt3}{8}\left(e^2-1\right)

Our answer is A.

3 0
2 years ago
Read 2 more answers
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