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denis23 [38]
3 years ago
11

The large rectangle below represents one whole.

Mathematics
1 answer:
Sonja [21]3 years ago
5 0

Answer:

40%

Step-by-step explanation:

<h3>so have 5 rectangles in a whole.</h3><h3>we also have 2 shaded potions in that whole which represents 2/5 shaded potions.</h3>

<h3>2/5 in fraction =0.4</h3>

<h3>Now Change 0.4 to percentage by multiplying 0.4 by 100</h3>

<h3>0.4 x 100 = 40</h3><h3>Therefore the percentage represented by the shaded area is 40%</h3><h3> </h3><h3>Hope this helps.</h3><h3>Good luck ✅.</h3>
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Use integration by parts to derive the following formula from the table of integrals.
emmasim [6.3K]

Answer:

I= (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C (for a≠0)

Step-by-step explanation:

for

I= ∫x^n . e^ax dx

then using integration by parts we can define u and dv such that

I= ∫(x^n) . (e^ax dx) = ∫u . dv

where

u= x^n → du = n*x^(n-1) dx

dv= e^ax  dx→ v = ∫e^ax dx = (e^ax) /a ( for a≠0 .when a=0 , v=∫1 dx= x)

then we know that

I= ∫u . dv = u*v - ∫v . du + C

( since d(u*v) = u*dv + v*du → u*dv = d(u*v) - v*du → ∫u*dv = ∫(d(u*v) - v*du) =

(u*v) - ∫v*du + C )

therefore

I= ∫u . dv = u*v - ∫v . du + C = (x^n)*(e^ax) /a - ∫ (e^ax) /a * n*x^(n-1) dx +C = = (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C

I= (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C (for a≠0)

5 0
3 years ago
Lori works as a cartoonist for a teen magazine.The time she spent sketching is given by the equation m=12s, where mis the number
Vera_Pavlovna [14]

Answer:

Lori spends <u>9 minutes</u> on sketching \frac{3}{4}th of a sketch.

Step-by-step explanation:

Given equation:

m=12\ s

where m\rightarrow number of minutes Lori spends on sketching

and s\rightarrow number of sketches Lori makes.

We need to calculate the time spent by Lori in sketching \frac{3}{4} of a sketch.

So we know the value of  s=\frac{3}{4} as s represents number of sketches and in this situation Lori has sketched only a fraction of a painting.

So we plugin s=\frac{3}{4} in the equation and calculate m which is time spent by Lori sketching \frac{3}{4}th of a sketch.

m=12\ \frac{3}{4}

m=\frac{36}{4}

∴ m=9 minutes (Answer)

∴ Lori spends 9 minutes on sketching \frac{3}{4}th of a sketch.

5 0
3 years ago
Need the answer fast, please
Nikitich [7]

Answer:

d

Step-by-step explanation:

2x+3x-9-1

x

<em><u>2 ^{2}  + 4x - 10</u></em>

4 0
2 years ago
Is this graph a function?
Diano4ka-milaya [45]
Yeah it’s a sin graph
6 0
3 years ago
The perimeter of square is 24cm, find its<br>area<br>​
mihalych1998 [28]

Answer:

Answer is 36cm

Step-by-step explanation:

Given:-

The perimeter of a square is 24 cm

To Find:-

It's Area

Solution:-

One side of the square

=24/4cm

=6cm

We know that, formula of the area of a square,

Area=(one side)^2

so,the area of the square=6^2cm=36

Important formula:-

•Perimeter of square=4×one side

•Perimeter of rectangle =2(length+breadth)

•Area of rectangle=length×breadth

I hope it's helpful!

7 0
3 years ago
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