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aivan3 [116]
3 years ago
12

Expand: In 2a3/b4 In 2 + 3 In a - 4 In b In 2 - 3 In a - 4 In b In 2-3 In a + 4 In b

Mathematics
1 answer:
weqwewe [10]3 years ago
8 0

Answer:

ln(2) + 3ln(a) - 4ln (b)

Step-by-step explanation:

ln(2a^3 /b^4)

We know that ln(x/y) = ln (x) - ln y

ln(2a^3 ) - ln (b^4)

We know that ln (xy) = ln x + ln y

ln(2) + ln(a^3 ) - ln (b^4)

We know that ln(x^y) = y ln (x)

ln(2) + 3ln(a) - 4ln (b)

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What is the volume of the cylinder below radius 7 height 4
Veseljchak [2.6K]

V = pi * r^2 *h

where r is the radius and h is the height of the cylinder

V = pi * 7^2 *4

V = pi* 49*4

pi is approximated by 3.14 or 22/7

V = 22/7 * 49 * 4

V = 616 units ^3

6 0
3 years ago
Read 2 more answers
Make a number line and show all values of x such that x<1/3 and x>0
FromTheMoon [43]

Answer:

<-|---------------|----------------|--------------|->

 0                1/3              2/3             1

Step-by-step explanation:

easy peasy

8 0
3 years ago
Tess created a Pythagorean triple of (24, 32, 40) by multiplying the known Pythagorean triple 3, 4, and 5 by 8. Is Tess correct?
pentagon [3]

Answer:

(24, 32, 40) is a Pythagorean triplet.

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.                

Step-by-step explanation:

We are given the following in the question:

Pythagorean triplet: (3,4,5)

New Pythagorean triplet obtained = (24, 32, 40)

Pythagoras theorem:

For a right angles triangle the sum of square of sides of triangle is equal to the square of hypotenuse of triangle.

Verification:

24^2 + 32^2\\=576 + 1024\\=1600\\=40^2

Yes, Tessa is correct.

(24, 32, 40) is a Pythagorean triplet.

Pythagorean triple be created using multiplies of a known Pythagorean triple

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.

8 0
3 years ago
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D/13&gt;-3<br><br> A. D&gt;-16<br> B. D&gt;39<br> C. D&gt;10<br> D. D&gt;-39<br><br> Help?
mylen [45]
D/13>-3

You have to multiply 13 in both sides to eliminate the Denominator 13 on the left leaving variable D only.
(D/13)(13) > -3(13)

D > -39

so... D. D > -39
3 0
2 years ago
How much is 8 multiplied by 63
zheka24 [161]

Answer:

504

Step-by-step explanation:

6 0
2 years ago
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