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3 years ago

Find the least common denominator for these two rational expressions. 3/2n -2/5n

Mathematics

2 answers:

Zielflug [23.3K]3 years ago

8 0

Every rational expression can be written in infinitely many equvialent forms which is 3/3n-15/2.

zmey [24]3 years ago

3 0

For 2n and 5n the least common denominator will be 10n

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The fastest a human has ever run is 27 miles per hours. How many miles per minute did the human run?

storchak [24]

They would have ran 0.45 miles per minute. Multiply this by 60 minutes(in which make an hour) and you will get 27 miles.

6 0

3 years ago

Read 2 more answers

1. Exercise 18, section 5.4. Compute 90, 91, 92, 93, 94 and 95. Make a conjecture about the units digit of 9n where n is a posit

Burka [1]

Answer:

n is a positive integer and here 90, 91, 92, 93, 94 and 95 is 9⁰ = 1

9¹ = 9

9² = 81

9³ = 729

9⁴ = 6561

9⁵ = 59049

so mathematical induction is prove given below.

Step-by-step explanation:

9⁰ = 1

9¹ = 9

9² = 81

9³ = 729

9⁴ = 6561

9⁵ = 59049

lets us consider by P (n) for the base case n = 0 then 9⁰ = 1 So P (1) is true

k ≥ 1so consider all integers

1≤l≤ k

There is a need to prove P (k+1)

if k is odd

$9^k^+^1$ = $9^k$ .9.

$9^k$ is 9 so

$9^k$ = 9 +10m

then

$9^k^+^1$ = 9 ( 9 + 10m)

=81 + 10 (9m)

so digit is 1 and k +1 is even

3 0

3 years ago

The following set of coordinates most specifically represents which figure? (−5, 6), (−1, 8), (3, 6), (−1, 4) (6 points) Paralle

Vladimir [108]

Answer:

Rhombus

Step-by-step explanation:

The given points are A(−5, 6), B(−1, 8), C(3, 6), D(−1, 4).

We use the distance formula to find the length of AB.

$|AB|=\sqrt{(-1--5)^2+(8-6)^2}$

$|AB|=\sqrt{16+4}$

$|AB|=\sqrt{20}$

The length of AD is

$|AD|=\sqrt{(-1--5)^2+(6-4)^2}$

$|AD|=\sqrt{16+4}$

$|AD|=\sqrt{20}$

The length of BC is:

$|BC|=\sqrt{(-1-3)^2+(8-6)^2}$

$|BC|=\sqrt{16+4}$

$|BC|=\sqrt{20}$

The length of CD is

$|CD|=\sqrt{(-1-3)^2+(6-4)^2}$

$|CD|=\sqrt{16+4}$

$|CD|=\sqrt{20}$

Since all sides are congruent the quadrilateral could be a rhombus or a square.

Slope of AB $=\frac{8-6}{-1--5}=\frac{1}{2}$

Slope of BC $=\frac{8-6}{-1-3}=-\frac{1}{2}$

Since the slopes of the adjacent sides are not negative reciprocals of each other, the quadrilateral cannot be a square. It is a rhombus

7 0

3 years ago

Read 2 more answers

Solve the Quadratics:

klasskru [66]

Answer:

Step-by-step explanation:

1 ) k²-8k = 0

k(k-8)=0

k = 0 or k=8

2) a²+5a=0

a(a+5) = 0

a=0 or a = - 5

3 ) 6n²+5n-25=0

delta = b²-4ac b =5 and a = 6 and c= - 25

delta = 5²-4(6)(-25) = 625 = 25²

n 1 = (-5+25)/12 = 20/12 = 5/3

n 2 = (-5-25)/12 = - 30/12 = -5/2

same method for 4) and 5)

6 0

3 years ago

Sam has striped and spotted socks in his draw in

mojhsa [17]

Answer:

14 spotted socks

Step-by-step explanation:

Sam has 3 units of striped socks and 6 of them.

Find one unit.

3 units = 6

1 unit = 6 ÷ 3 = 2

Sam has 7 units of spotted socks.

7 units = 2 x 7 = 14

7 0

3 years ago