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3 years ago

30% of $50 is equal to?

Mathematics

1 answer:

Alex17521 [72]3 years ago

5 0

Answer:

Step-by-step explanation:

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adam drew two same size rectangles and divided them into the same number of equal parts.he shaded 1/3 of one rectangle and 1/4 o

tankabanditka [31]

The answer is twelfths.
1/3 = 4/12
1/4 = 3/12
And 12 is the LCD (least common denominator) for 1/3 and 1/4.

5 0

3 years ago

Integrate (sqrt((x-1)/x^5)) using substitution (no trig substitution) ...?

Dominik [7]

√ (( x - 1) / x^5) = 1/√x^4 · √(1 - 1/x )= 1/x² · √( 1 - 1/x )
Substitution:
u = 1 - 1/x
d u = 1/x² dx
$\int { \frac{1}{ x^{2} } * \sqrt{1-1/x} } \, dx= \\ = \int { \sqrt{u} } \, du= \\ =2/3u \sqrt{u}= \\ =2/3(1-1/x) \sqrt{1-1/x}+C$

8 0

3 years ago

Find the volume of the solid generated by revolving the region enclosed by the triangle with vertices (1 comma 0 ), (3 comma 2

Troyanec [42]

Answer: Volume = $\frac{20\pi }{3}$

Step-by-step explanation: The washer method is a method to determine volume of a solid formed by revolving a region created by any 2 functions about an axis. The general formula for the method will be

V = $\pi \int\limits^a_b {(R(x))^{2} - (r(x))^{2}} \, dx$

For this case, the region generated by the conditions proposed above is shown in the attachment.

Because it is revolting around the y-axis, the formula will be:

$V=\pi \int\limits^a_b {(R(y))^{2} - (r(y))^{2}} \, dy$

Since it is given points, first find the function for points (3,2) and (1,0):

m = $\frac{2-0}{3-1}$ = 1

$y-y_{0} = m(x-x_{0})$

y - 0 = 1(x-1)

y = x - 1

As it is rotating around y:

x = y + 1

This is R(y).

r(y) = 1, the lower limit of the region.

The volume will be calculated as:

$V = \pi \int\limits^2_0 {[(y+1)^{2} - 1^{2}]} \, dy$

$V = \pi \int\limits^2_0 {y^{2}+2y+1 - 1} \, dy$

$V=\pi \int\limits^2_0 {y^{2}+2y} \, dy$

$V=\pi(\frac{y^{3}}{3}+y^{2} )$

$V=\pi (\frac{2^{3}}{3}+2^{2} - 0)$

$V=\frac{20\pi }{3}$

The volume of the region bounded by the points is $\frac{20\pi }{3}$ .

6 0

4 years ago

What's the correct answer for this? please help me out!!

natima [27]

X=25 is the answer

EXPLANATION:

Since we have here similar triangles, then 2x+2/x+3 must be equivalent of 26/14

2x+2/x+3=26/14
2x+2/x+3=13/7
7(2x+2)=13(x+3)
14x+14=13x+39
x=25

4 0

3 years ago

Find the area of a square with side lengthd of 5 4 inches

mr Goodwill [35]

A=2916, you take 54 and square it

6 0

3 years ago