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3 years ago

A right rectangular prism is 5 1/4in. wide, 12 1/2.in long. and 4 in tall,What is the volume of the prism?

Mathematics

2 answers:

Lera25 [3.4K]3 years ago

7 0

(5 1/4 in)(12 1/2 in)(4 in)

(21/4)(25/2)4=262.5 in^3

AnnyKZ [126]3 years ago

6 0

Answer:

262 1/2

Step-by-step explanation:

i took the test trust me

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Obtain the general solution to the equation. (x^2+10) + xy = 4x=0 The general solution is y(x) = ignoring lost solutions, if any

alukav5142 [94]

Answer:

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

Step-by-step explanation:

We are given that a differential equation

$(x^2+10)y'+xy-4x=0$

We have to find the general solution of given differential equation

$y'+\frac{x}{x^2+10}y-\frac{4x}{x^2+10}=0$

$y'+\frac{x}{x^2+10}y=4\frac{x}{x^2+10}$

Compare with

$y'+P(x) y=Q(x)$

We get

$P(x)=\frac{x}{x^2+10}$

$Q(x)=\frac{4x}{x^2+10}$

I.F= $e^{\int\frac{x}{x^2+10} dx}=e^{\frac{1}{2}ln(x^2+10)}$

$e^{ln\sqrt(x^2+10)}=\sqrt{x^2+10}$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{x^2+10}\times \sqrt{x^2+10} dx+C$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{\sqrt{x^2+10}}+C$

$y\cdot \sqrt{x^2+10}=4\sqrt{x^2+10}+C$

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

6 0

3 years ago

Sweetums finds that the cost of making a certain candy bar .15 per bar and that the fixed rate is 600 per week if each bar sells

PilotLPTM [1.2K]

We know that:

Profit = Revenue - Cost

Let us say x number of candies are made per week.

Finding Cost per week:

Cost of making 1 bar = 0.15

Cost of making x bars = 0.15x

Fixed rate of making candies per week = 600

Total cost of making x candies per week = 600 + 0.15x

Now let us find Revenue:

Selling price of each bar = 1.50

Selling price of x bars = 1.50x

Now we have to find profit,

Profit = Revenue - Cost

In order to have profit Revenue - Cost >0

So plugging values of revenue and cost to get number of candies,

$1.50x-(0.15x+600)>0$

$1.50x-0.15x-600>0$

$1.35x-600>0$

$1.35x>600$

x>444.44

Rounding off

x>444

Answer: The company must sell greater than 444 candies in order to make profit.

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3 years ago

Graph the equationX = -2

Vikentia [17]

The answer is a vertical line on the negative -2 (x-axis).

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Find the slope of the line

Daniel [21]

Answer:

The slope of the line is -3/2 or -1.5

Step-by-step explanation:

y2-y1/x2-x1

-1-2/2-0=

-3/2 or -1.5

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3 years ago

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nignag [31]

Step-by-step explanation:

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