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2 years ago

What's the volume of the following is rectangular prism plsssssss will mark brainlist HELPPPP

Mathematics

1 answer:

ozzi2 years ago

3 0

Answer: 6.75 or 6 3/4

Step-by-step explanation: 3 3/8 x 2 = 6.75 Brainliest please?

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Find the general solution of the given differential equation. cos^2(x)sin(x)dy/dx+(cos^3(x))y=1 g

eimsori [14]

If the given differential equation is

$\cos^2(x) \sin(x) \dfrac{dy}{dx} + \cos^3(x) y = 1$

then multiply both sides by $\frac1{\cos^2(x)}$ :

$\sin(x) \dfrac{dy}{dx} + \cos(x) y = \sec^2(x)$

The left side is the derivative of a product,

$\dfrac{d}{dx}\left[\sin(x)y\right] = \sec^2(x)$

Integrate both sides with respect to $x$ , recalling that $\frac{d}{dx}\tan(x) = \sec^2(x)$ :

$\displaystyle \int \frac{d}{dx}\left[\sin(x)y\right] \, dx = \int \sec^2(x) \, dx$

$\sin(x) y = \tan(x) + C$

Solve for $y$ :

$\boxed{y = \sec(x) + C \csc(x)}which follows from [tex]\tan(x)=\frac{\sin(x)}{\cos(x)}$ .

7 0

1 year ago

Hurry!

NARA [144]

Ans(a):

Given function is $f(x)=\frac{3x-1}{x+4}$

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.

Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

$g(x)=\frac{3x-1}{x+4}+4$

We may simplify this equation but that is not compulsory.

Comparision:

Graph of g(x) will be just 4 unit upward than graph of f(x).

Ans(c):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

$8=\frac{3x-1}{x+4}+4$

$8-4=\frac{3x-1}{x+4}$

$4=\frac{3x-1}{x+4}$

$4(x+4)=(3x-1)$

$4x+16=3x-1$

4x-3x=-1-16

x=-17

Hence final answer is x=-17

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3 years ago

The functions r and s are defined as follows. r(x)=-x-5 s(x)= -2x-5 . Find the value of s(r(4)).

Svet_ta [14]

Answer:

s(r(4)) = 13

Step-by-step explanation:

Substitute and calculate:

s(r(4)) = 13

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1 year ago

Valentina has a tray where she keeps all of her important papers. the tray is in the shape of a rectangular prism with no top. a

mel-nik [20]

The volume of a rectangular prism with a length of 12 inches, width of 10 inches, and height of 2.5 inches is 300 cubic inches

<h3>Volume of a rectangular prism</h3>

Length= 12 inches
Width = 10 inches
Height = 2.5 inches

Volume of a rectangular prism = length × width × height

= (12 × 10 × 2.5) inches

= 300 inches

Learn more about volume of prism:

brainly.com/question/23963432

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1 year ago

a case of plastic spoons has 8.400 spoons. there are 8 boxes of spoons in the case. how many spoons are in each box

Veseljchak [2.6K]

It's either 1050 or 1.050 if that was suppose to be a decimal or a comma after the eight

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2 years ago