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horrorfan [7]
3 years ago
9

Can someone please help im struggling

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
5 0

Answer:

81 units³

Step-by-step explanation:

V = Length x Widht x Height

= 9 x 3 x 3

= 81 units³

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The function f(x)=600+2x over x yields the average cost in dollars for a company to produce x calendars. Which statement best fi
nevsk [136]

Answer:

The correct option is a.

Step-by-step explanation:

The average cost function is

f(x)=\frac{600+2x}{x}

Where x is the number of calendars produced.

The average cost formula is

AC=\frac{\text{Total Cost}}{\text{Number of items}}

Therefore the total cost is defined b the function

g(x)=600+2x

Here 600 is the initial cost and the cost each unit is 2.

Initial cost is the fixed cost which occurs at zero level of productivity.

The company spends $600 on a new computer and printer before beginning the project. The option (a) is correct.

8 0
3 years ago
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Find the solution of the following equation whose argument is strictly between 270^\circ270 ∘ 270, degree and 360^\circ360 ∘ 360
Natasha2012 [34]

\rightarrow z^4=-625\\\\\rightarrow z=(-625+0i)^{\frac{1}{4}}\\\\\rightarrow x+iy=(-625+0i)^{\frac{1}{4}}\\\\ x=r \cos A\\\\y=r \sin A\\\\r \cos A=-625\\\\ r \sin A=0\\\\x^2+y^2=625^{2}\\\\r^2=625^{2}\\\\|r|=625\\\\ \tan A=\frac{0}{-625}\\\\ \tan A=0\\\\ A=\pi\\\\\rightarrow z= [625(\cos (2k \pi+pi) +i \sin (2k\pi+ \pi)]^{\frac{1}{4}}\\\\k=0,1,2,3,4,....\\\\\rightarrow z=(625)^{\frac{1}{4}}[\cos \frac{(2k \pi+pi)}{4} +i \sin \frac{(2k\pi+ \pi)}{4}]

\rightarrow z_{0}=(625)^{\frac{1}{4}}[\cos \frac{pi}{4} +i \sin \frac{\pi)}{4}]\\\\\rightarrow z_{1}=(625)^{\frac{1}{4}}[\cos \frac{3\pi}{4} +i \sin \frac{3\pi}{4}]\\\\ \rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]\\\\ \rightarrow z_{3}=(625)^{\frac{1}{4}}[\cos \frac{7\pi}{4} +i \sin \frac{7\pi}{4}]

Argument of Complex number

Z=x+iy , is given by

If, x>0, y>0, Angle lies in first Quadrant.

If, x<0, y>0, Angle lies in Second Quadrant.

If, x<0, y<0, Angle lies in third Quadrant.

If, x>0, y<0, Angle lies in fourth Quadrant.

We have to find those roots among four roots whose argument is between 270° and 360°.So, that root is

   \rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]

5 0
3 years ago
A sphere has a volume of 36tt in3 find the radius of the sphere​
Vsevolod [243]
V=4/3 π •r^3 multiply both sides with 3
3•36π=4π • r^3
108 π=4 π • r^3

r^3 =108 π/4 π
r=3 inch
5 0
3 years ago
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Annie's rectangular garden is 5 feet long and 3 feet wide. What is the area of her garden?
ANEK [815]
Answer: 5 x 3 = 15

Explanation: area is length multiplied by width.
6 0
2 years ago
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What is the square root of 8 added by the square root of 18?
adoni [48]
The square root of 8 added to the square root of 18 equals 7.07106781187
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