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3 years ago

what are the domain and range of the following functions? write your answer using inequality symbols if possible

Mathematics

1 answer:

Ludmilka [50]3 years ago

4 0

C.
Domain: x>-1
Range y>-1

d.
Domain: -∞<x<∞
Range: -∞<y<∞

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To the nearest whole number, what is the surface area or the right triangular prism

Andrej [43]

Answer:

502 Square Meters

Step-by-step explanation:

Surface Area is the sum of the areas of all the surfaces. There are 5 surfaces in total, so we find each surface area and find total Surface Area.

Shown Below:

Bottom Surface is a rectangle, so area is length * width = 10 * 16 = 160

Back Surface is a rectangle, so area is 6 * 16 = 96

Top (front) surface is a rectangle so area is 11.6 * 16 = 185.6

Left and right sides are 2 triangles, so are would be 0.5(base * height) for each. So,

Left triangle = 0.5 * 10 * 6 = 30

Right triangle = 30

Sum of all the surfaces = 160 + 96 + 185.6 + 30 + 30 = 501.6

Rounded to nearest whole number, that is 502

The surface area = 502 m^2

6 0

3 years ago

You add a 4-foot-by-4-foot section of land to a 6-foot-by-8-fooy garden. Find the area of the new garden.

tamaranim1 [39]

Answer:

64ft

Step-by-step explanation:

1. find the area of both plots of land.

4x4=16 6x8=48

2. add the two areas together

16+48=64ft

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3 years ago

In proof testing of circuit boards, the probability that any particular diode will fail is 0.01. Suppose a circuit board contain

castortr0y [4]

Answer: a) 2 b) 1.407

Step-by-step explanation:

Given : The probability that any particular diode will fail : p=0.01

The number of diodes in a circuit : n= 200

The number of diodes expected to fail will be :-

$\mu= np=(200)(0.01)=2$

Hence, the number of diodes expected to fail =2

The standard deviation of the number that are expected to fail will be :-

$\sigma=\sqrt{np(1-p)}\\\\\Rightarrow\sigma=\sqrt{200(0.01)(1-0.01)}\\\\=1.40712472795\approx1.407$ [Rounded to three decimal places.]

Hence, the standard deviation of the number that are expected to fail= 1.407

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3 years ago

For a particular angle theta, the cosine function f(x) = a cos b(theta) has the following values within one cycle of the functio

Anton [14]

For function $f(x)=a\cos b\theta$ we have that $f(0) =4,\ f( \frac{\pi}{2} )=-4,\ f(\pi)=4$ . This means that period of cosine function is π. Then from the formula for period $T= \frac{2\pi}{b}$ you obtain that $\pi= \frac{2\pi}{b}$ and b=2.

So, the function is $f(x)=a\cos 2\theta$ . If f(0)=4, then $a\cos0=4$ and, respectively, a=4.
Answer: $f(x)=4\cos 2\theta$ .

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3 years ago

3x + 2 = x + 4(x+2) I really need help

luda_lava [24]

Answer:

x=-3

Step-by-step explanation:

3x+2=x+4x+8

3x+2=5x+8

-2x+2=8

-2x=6

x=-3

5 0

3 years ago

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