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3 years ago

What is the simplest form of 3^ √27t^9/729?

Mathematics

2 answers:

ad-work [718]3 years ago

7 0

Answer:

the third option is correct

Step-by-step explanation:

Natali [406]3 years ago

6 0

Answer:

$\frac{t^{3} }{3}$

Step-by-step explanation:

$\sqrt[3]{\frac{27t^{9} }{729} }$ 27 is a perfect cube for $3^{3}$ and 729 is a perfect cube for $9^{3}$

$\sqrt[3]{\frac{3^{3} t^{9} }{9^{3} } }$ now you can pull out the numbers from under the root, for t (divide the exponent by 3)

$\frac{3}{9}$ $t^{3}$ now simply to $\frac{t^{3} }{3}$

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The combined ages of a dog and his owner are 96 years in total. The owner is 3 times older than his dog. How old is the owner?

nikitadnepr [17]

Answer:

72 yrs old.

Step-by-step explanation:

The combined age

D+O=96

The owner is 3 times older than dog

O=3D

D+3D=96

4D = 96

D= 24

Now substitute the value of D in O=3D

O=3.24= 72

The owner is 72 years old.

5 0

3 years ago

Over the past several months,the water level of a lake has been decreasing by 12% each week.If the highest water level before th

pickupchik [31]

Answer:

The level was 402.7ft. at the end of two weeks.

Step-by-step explanation:

First, we need to find the amount of decrease for the first week.

520 x 0.12 = 62.4

Now, we subtract the change for the first week.

520 - 62.4 = 457.6

Next, we find the change for the second week.

457.6 x 0.12 = 54.912

Then, we subtract the change for the second week.

457.6 - 54.912 = 402.688

And we are left with our final answer that is 402.688ft. or if you wish to round to the nearest tenth, then your answer would be 402.7ft.

8 0

3 years ago

Round 5,382,619 to the nearest 1000

krok68 [10]

5,383,000 because you started with 5,382,619 and wanted the 1000 spot that is the number 2 but the number to the right is a 6 which in the order of rounding 6 is greater than 5 so the rule is. Greater than 5 round up.

6 0

3 years ago

The prism base is 24mm the perimeter of the base is 22mm the height of the prism is 5 mm what is the surface area of the prism

anastassius [24]

What type of prism is it?

5 0

3 years ago

Jon is looking into a 4250 vacation package that is offered for 25% off. there's a 9% resort fee added on to the total. How much

bazaltina [42]

When you want to find a percent of a number you do this:
given number/ 1 multiplied by percentage/100

so in this question its a multiple step

start with finding 25 percent of 4250 which is= 1062.5
so thats how much the discount is so the amount after the 25% discount is:
4250-1062.5= 3187.5

then you have to add 9% due to fees
so you find 9% of 3187.5 which is= 286.875
so you add 286.875 to 3187.5 gives you= 3437.375 in total cost for the vacation package

8 0

3 years ago