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Yanka [14]
3 years ago
15

What is the volume of the prism with a base of 6 height of 5 and lenght of 10

Mathematics
1 answer:
Tanzania [10]3 years ago
8 0
\sf Hello!

\sf Dimensions\: of \:the \:Prism :

• \sf Base,\: b = 6
• \sf Height, \:h = 5
• \sf Height, \:H = 10

\sf Then,

\sf Volume \:of \:Prism :

= \dfrac {\sf 1}{\sf 2} × \sf b × \sf h × \sf H

= \dfrac {\sf 1}{\sf 2} × \sf 6 × \sf 5 × \sf 10

= \sf 6 × 5 × 5

= \sf 150

\sf Hence,
\sf The\: volume\: of \: the\: prism\: is \:150\: cubic\: units.

~ \sf iCarl
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An apartment complex on Ferenginar with 250 units currently has 223 occupants. The current rent for a unit is 892 slips of Gold-
Triss [41]

Answer:

Step-by-step explanation:

Given data

Total units = 250

Current occupants = 223

Rent per unit = 892 slips of Gold-Pressed latinum

Current rent = 892 x 223 =198,916 slips of Gold-Pressed latinum

After increase in the rent, then the rent function becomes

Let us conside 'y' is increased in amount of rent

Then occupants left will be [223 - y]

Rent = [892 + 2y][223 - y] = R[y]

To maximize rent =

\frac{dR}{dy}=0\\=2(223-y)-(892+2y)=0\\=446-2y-892-2y=0\\=-446-4y=0\\y=\frac{-446}{4}=-111.5

Since 'y' comes in negative, the owner must decrease his rent to maximixe profit.

Since there are only 250 units available;

y=-250+223=-27\\\\maximum \,profit =[892+2(-27)][223+27]\\=838 * 250\\=838\,for\,250\,units

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8 0
3 years ago
Write the following function in standard form. Show your work. y=(x-5)(x+5)(2x-1)
Gnesinka [82]

Answer:

\boxed{y=4x^3-x^2-50x+25}


Step-by-step explanation:

The given function is


y=(x-5)(x+5)(2x-1)


Observe that, the first two factors are from difference of two squares.


\Rightarrow y=(x^2-5^2)(2x-1)


\Rightarrow y=(x^2-25)(2x-1)

We expand the brackets using the distributive property to obtain;

\Rightarrow y=2x^2(2x-1)-25(2x-1)


\Rightarrow y=4x^3-x^2-50x+25


The above function is now in standard form, since the terms are arranged in descending powers of x.



4 0
3 years ago
Find the interest on a loan of $9,000 for five months with a rate of 11%
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Answer:

Step-by-step explanation:

total interest payed - $249.00

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3 years ago
10,25,35,45... What's the pattern?
Bumek [7]

Answer:

15

Step-by-step explanation:

The pattern is going by 15 because 10+15=25 and then continue going.

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3 years ago
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