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3 years ago

Simplify 5^4/5. ~Please Hurry !!

Mathematics

2 answers:

tresset_1 [31]3 years ago

7 0

Answer:

3.6239 or

$\sqrt[5]{625}$

lisov135 [29]3 years ago

6 0

Answer:

125

Step-by-step explanation:

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Select all pairs of numbers that have a least common multiple of 30.

ddd [48]

5 and 6 and 3 and 10, the pairs of numbers that have a least common multiple of 30.

Step-by-step explanation:

Case 1: LCM (3, 6)

Prime factorization of 3: $1 \times 3$

Prime factorization of 6: $2 \times 3$

Using all prime numbers found as often as each occurs most often we take

$2 \times 3=6$

Therefore LCM (3, 6) = 6.

Case 2: LCM (5, 6)

Prime factorization of 5: $1 \times 5$

Prime factorization of 6: $2 \times 3$

Using all prime numbers found as often as each occurs most often we take

$5 \times 2 \times 3=30$

Therefore LCM (5, 6) = 30

Case 3: LCM (3, 10)

Prime factorization of 3: $1 \times 3$

Prime factorization of 10: $2 \times 5$

Using all prime numbers found as often as each occurs most often we take

$5 \times 2 \times 3=30$

Therefore LCM (3, 10) = 30

Case 4: LCM (5, 10)

Prime factorization of 5: $1 \times 5$

Prime factorization of 10: $2 \times 5$

Using all prime numbers found as often as each occurs most often we take

$5 \times 2=10$

Therefore LCM (5, 10) = 10

8 0

3 years ago

Why is -a² is always negative (a ≠ 0) and why is (-a)² is always positive?

hjlf

$-a^2=(-1)\cdot a\cdot a$

Regardless of the sign of $a$ , we have $a\cdot a=a^2\ge0$ (never negative). But multiplying by -1 makes it negative.

On the other hand,

$(-a)^2=((-1)\cdot a)^2=(-1)^2\cdot a^2=1\cdot a^2=a^2$

which can never be negative for real $a$ .

6 0

3 years ago

A 20 ft ladder leans against a building and reaches a point 13 ft above the ground. Find, to the nearest degree, the angle that

Snezhnost [94]

Since it forms a "right triangle" we can apply trigonometry.
sin x = oppo/hyp
sin x = 13/20
x = sin^-1(13/20)
x = sin^-1(0.65)
x = 40.5
rounded to nearest degree
x = 41 degrees

Hope this helps! :)

4 0

3 years ago

Convert: 76.8°f = ________ °c a. 21.5 b. 25 c. 170.24 d. 24.89

lesya [120]

The answer to convert 76.8 fahrenheit to Celsius is D

3 0

3 years ago

Read 2 more answers

A bag contains 22 red marbles, 8 white marbles, and 3 gray marble. You randomly pick out a marble, record its color, and put it

frez [133]

Total marbles : 33

W + G marbles : 11

Probability of picking either a W or G : 11/33

Number of W or G marbles = 11/33 × 45 = 15

4 0

3 years ago