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3 years ago

HELPPPPPPPPPPPPP asap plz

Mathematics

2 answers:

Aleks04 [339]3 years ago

5 0

The answer is c..........................

malfutka [58]3 years ago

3 0

The answer is c!!!!!!!!!!!!!!!!!!!!!!!!

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Which equations are equivalent to -1/4(x)+3/4=12? Select all that apply.

ELEN [110]

Answer:

B and E

Step-by-step explanation:

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3 years ago

A seven-sided number cube with sides numbered 1-7 is rolled. what is the probability that a 4 or an odd number is rolled.

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There’s a 4/7 chance it would roll an odd number.

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3 years ago

Mr. Miranda borrowed $8,800 for 12 months at simple interest to pay for a new swimming pool. If Mr. Miranda paid the bank a tota

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2 years ago

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:

Step-by-step explanation:

The base of a solid in the region enclosed by the graphs of y = eˣ, y = 0, x = 0, and x = 1. Each cross-section perpendicular to the x-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 x value. So, we integrate from x = 0 to x = 1.

The area for an equilateral triangle is given by:

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

Where s is the side length of the triangle.

Since the triangle lies perpendicular on the region, the side length of the triangle at x is simply y, 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.

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2 years ago

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Find the value of x m<2= x + 132

podryga [215]

Answer:

x= -12

Step-by-step explanation:

Please see attached picture for full solution.

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2 years ago

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