Which number is divisible by 2, 3, 4, and 6? a.124 b.3,072 c.1,005 d.786

what is the prime factorization of 55^5 x 65 x 9^15 and why? A. 3^15 * 5^6 *11^5*13 B. 3^30 *5^6 *11^5 *13 C.3^30 * 5^6 *11 * 13

leonid [27]

Answer:

B

Step-by-step explanation:

1. Lets focus on 55^5

55^5 = 11^5 * 5^5

2. now on 65

65 = 5 * 13

3. now on 9^15

9^15=(3^2)^15 = 3^30

4. combine all three parts

11^5 * 5^5 * 5 * 13 * 3^30 = 11^5*5^6*13*3^30

so our answer is B

7 0

3 years ago

Anna truncated the decimal expansion of x to find the best approximation. On a number line, the location of x is between 10.9 an

podryga [215]

Answer:

Well to estimate a decimal the best option would be to round it to.

10 or 11 (For 10.9)

11 (For 11.1)

and since two of them equal 11.

The estimation would be 11.

I hoped this helped.

3 0

2 years ago

After a trip to Mexico, Jose converted all his pesos back to dollars. The current exchange rate is 1 peso = 0.054 dollars. How m

Dimas [21]

Answer:The number of dollars that he will receive if he exchanged 42.7 pesos is $2.3058

Step-by-step explanation:

The current exchange rate is

1 peso = 0.054 dollars.

After a trip to Mexico, Jose converted all his pesos back to dollars. The number of dollars that he will receive if he exchanged 42.7 pesos would be 42.7×0.054 = $2.3058

7 0

2 years ago

Find the work (in ft-lb) required to pump all the water out of a cylinder that has a circular base of radius 7 ft and height 200

Virty [35]

Answer:

work done is equal to 384279168 lb-ft

Step-by-step explanation:

The cylinder has a circular base of 7 ft.

The height of the cylinder is 200 ft

The weight density of water in the cylinder is 62.4 lb/ft^3

First, we find the volume of the water in the cylinder by finding the volume of this cylinder occupied by the water.

The volume of a cylinder is given as $\pi r^{2} h$

where, r is the radius,

and h is the height of the cylinder.

the volume of the cylinder = $3.142* 7^{2}*200$ = 30791.6 ft^3

Since the weight density of water is 62.4 lb/ft^3, then, the weight of the water within the cylinder will be...

weight of water = 62.4 x 30791.6 = 1921395.84 lb

We know that the whole weight of the water will have to be pumped out over the height of cylindrical container. Also, we know that the work that will be done in moving this weight of water over this height will be the product of the weight of water, and the height over which it is pumped. Therefore...

The work done in pumping the water out of the container will be

==> (weight of water) x (height of cylinder) = 1921395.84 x 200

==> work done is equal to 384279168 lb-ft

7 0

3 years ago

Find the 15th term in the Arithmetic Sequence An = 3n-7 Question 1 options: a32 b 7 c 38 d -2 please help

rusak2 [61]

A(15) = 3(15)-7 = 45-7 = 38.

SO, (C)38 IS THE ANSWER.

7 0

3 years ago

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