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3 years ago

9

A rectangular prism has a volume of 750 cubic millimeters. Its length is 15

1 answer:

umka2103 [35]3 years ago

5 0

Answer: 5 milimeters.

Step-by-step explanation:

The formula for calculate the volume of a rectangular prism is:

$V=lwh$

Where "V" is the volume, "l" is the lenght, "w" is the width and "h" is the height.

You know that the volume, the lenght, and the width of this rectangular prism are:

$V=750mm^3\\l=15mm\\w=10mm$

Substitutute these values into the formula and solve for the the height "h":

$750mm^3=(15mm)(10mm)h\\\\h=\frac{750mm}{(15mm)(10mm)}\\\\h=5mm$

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Write 90,523 in Word form

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Ninety thousand five hundred twenty three

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3 years ago

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The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R′(x)=(x+1)ln(x+1)R ′ (x)=(x+1)ln(x+

jekas [21]

Answer:

Total revenue = $\frac{169}{2}\ln(13)-\frac{169}{4}$ dollars

Step-by-step explanation:

$R'(x)=(x+1)\ln(x+1)$

Integrate with respect to $x$ .

$R(x)=$ ∫ $(x+1)\ln(x+1)$ dx

Take $x+1=u$

Differentiate with respect to $x$

$dx=du$

So,

$R(x)=$ ∫ $u\ln(u)\,du$

Use integration by parts: ∫f g dx = f∫ g dx-∫(∫g dx)f' dx

Therefore,

$R(x)=$ $\frac{u^2}{2}\ln(u)$ $-$ ∫ $\frac{u^2}{2}\frac{1}{u}\,du$

= $\frac{u^2}{2}\ln(u)$ $-$ ∫ $\frac{u}{2}\,du$

Put $u=x+1$

$R(x)= \frac{(x+1)^2}{2}\ln(x+1)-\frac{(x+1)^2}{4}$

To find total revenue from the sale of the first 12 calculators, put $x=12$

$R(x)= \frac{(12+1)^2}{2}\ln(12+1)-\frac{(12+1)^2}{4}\\\\= \frac{(13)^2}{2}\ln(13)-\frac{(13)^2}{4}\\\\=\frac{169}{2}\ln(13)-\frac{169}{4}$

Total revenue = $\frac{169}{2}\ln(13)-\frac{169}{4}$ dollars

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3 years ago

Quadrilateral ABCD has coordinates A (3,1) B (4,4) C (7,5) D (6,2). Quadrilateral ABCD is a ?

ASHA 777 [7]

The Quadrilateral ABCD with coordinates (3, 1), (4, 4), (7, 5), (6, 2) is a rhombus because its length and width are both square root of 10 units and adjacent sides are not perpendicular. This can be seen by plotting the points you can either plot it or by using programs.

I hope this helps, God bless, and have a great day!
Brainliest is always appreciated :)

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3 years ago

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Help it’s #8 it’s due by 12

nignag [31]

Answer:

I think it can be 12 and -6

Step-by-step explanation:

The sum has to be equal to 6

12+ -6= 6

Also, the two integers have opposite signs as asked in the question

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Which is the graph of f(x) = 4

Nana76 [90]

Answer:

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