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erik [133]
2 years ago
11

prove that the sum of two consecutive exponents of the number 5 is divisible by 30. If N ia the smaller of two consecutive expon

ents, then the sum of two consecutive exponents of 5 is equal to _ *30, and therefore is divisible by 30.
Mathematics
1 answer:
kotykmax [81]2 years ago
3 0

Answer:

5^n-1

Step-by-step explanation:

5^n-1*30

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What is the mass of an object that has a density of 1.3 g/cm3 and a volume
tangare [24]

Answer:

The mass of the object is 2.6 grams

Step-by-step explanation:

The density of an object is the ratio between its mass and its volume

The equation of the is d = \frac{m}{V} , where

  • m is the mass
  • V is the volume

Let us use this equation to solve the question

∵ An object has a density of 1.3 g/cm³

∴ d = 1.3 g/cm³

∵ Its volume is 2 cm³

∴ V = 2 cm³

→ Substitute them in the equation of the denisty above

∵ 1.3 = \frac{m}{2}

→ Multiply both sides by 2

∴ 2 × 1.3 = 2 × \frac{m}{2}

∴ 2.6 = m

∴ The mass of the object is 2.6 grams

8 0
2 years ago
An electrician needs to run a cable from the top of a 40​-foot tower to a transmitter box located 30 feet away from the base of
grin007 [14]
The cable should be 50 feet.

If you draw the picture, you will see that you have a right triangle.

Let's just use the Pythagorean Theorem to find the hypotenuse (or cable).

30^2 + 40^2 = c^2
2500 = c^2
50 = c
3 0
3 years ago
a woman is 10 times as old as her daughter. In 8 years she will be 4 times as old as her daughter. How okd is her mother now?
Bond [772]

Answer:

48 yr. old

Step-by-step explanation:

Assume daughter is 4 and mom is 10 times her age,  so mom is 40.

10 (woman) * 4 (daughter's age) = 40 yr. old mom

Present day...

40 (yr old mom) + 8 (yrs later) = 48 yr. old mom today

4 (yr old daughter) + 8 (yrs later) = 12 yr. old daughter today

So, if mom is 4 times as her daughter's age today...

48 (yr. old mom) / 12 (yr. old daughter) = 4

5 0
2 years ago
Can some one help me please
KATRIN_1 [288]

Answer:

0

Step-by-step explanation:

Any number multiplied by zero is equal to zero. So if the product is zero, one factor must be zero. Since you already have a nonzero factor, the other must be zero.

8 0
2 years ago
If one square yard costs 12 dollars how much is 180 square feet
Mumz [18]
12 x 180 is equal to 2160. It would cost $2160
3 0
2 years ago
Read 2 more answers
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