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kifflom [539]
3 years ago
7

Simplify: (27)^1/3•(27)^2/3

Mathematics
1 answer:
Goshia [24]3 years ago
7 0
Since the cube root of 27 is 3, we have 3*27^(2/3). Next, something to the power of 2/3 means you square the cube root of it. Since the cube root is 3, we square that to get 9. After that, we get 3*9=27
You might be interested in
Shawn thinks that helium prices next year might increase by 10%. He plans to buy 7 small balloons and x large balloons. He creat
Anna11 [10]

Answer:

P = 7.7 C + 1.1 XC

Step-by-step explanation:

From the question, it is noted that the price of helium required to fill each of the balloons would increase by 10%. Let the current price of helium be C, so that;

10% of C = 0.1 C

The price of helium next year = C + 0.1 C

                        = 1.1 C

Cost of 7 small balloons = 1.1 C * 7

                         = 7.7 C

Cost of X large balloons = 1.1 C * X

                         = 1.1 XC

The total price, P for helium next year = 7.7 C + 1.1 XC

Thus, the equation to find the total price of helium that would fill the balloons next year is;

P = 7.7 C + 1.1 XC

4 0
3 years ago
A rectangle is shown below.
Dahasolnce [82]

Answer:

  a)  247.25 cm²

  b)  62.0 cm

Step-by-step explanation:

All of these upper-bound/lower-bound problems are worked the same way. The bounds on the measurement are presumed to be half of one unit of the least-significant digit.

Here, the least significant digit of both numbers is in the "units" place, so the maximum error is presumed to be 1/2 unit, or ±0.5 cm.

If the measurement were 7.36 inches, the least significant digit is in the hundredths place, so the maximum error is presumed to be half a hundredth, or ±0.5 × 0.01 inches = ±0.005 inches.

__

To find the bounds on the measurement, you add or subtract this maximum error from the measurement. So, for the measurements in this problem, the maximum and minimum they can be are ...

  21 cm: minimum of 21 - 0.5 = 20.5 cm; maximum of 21 + 0.5 = 21.5 cm

  11 cm: minimum of 10.5 cm; maximum of 11.5 cm

If you wanted to express these as an inequality, you'd have to remember that half-units are rounded up, so the inequalities would be ...

  20.5 cm ≤ long side < 21.5 cm

  10.5 cm ≤ short side < 11.5 cm

__

a) The area is computed as the product of the rectangle's side length measurements. The area will be a maximum when both measurements are a maximum:

  Amax = (21.5 cm)(11.5 cm)

  Amax = 247.25 cm²

__

b) The perimeter is twice the sum of the lengths of two adjacent sides of the rectangle. The minimum perimeter will be the sum using the minimum side lengths, or ...

  Pmin = 2(20.5 cm +10.5 cm) = 2(31.0 cm)

  Pmin = 62.0 cm

_____

<em>Comment on measurement bounds</em>

You have to remember that these concepts are mathematical in nature, so only an approximation of the real world. If you have ever used a tape measure to measure a distance of any length, you will have discovered a couple of things:

  • different tape measures are different lengths
  • the measurement you make depends on how tight you stretch the tape (and often, on temperature and/or humidity)
  • it is amazingly hard to choose the "nearest" measurement when the value is halfway between marks on the tape. (That is, there is some fuzziness in the boundary between nearest units.)

So, mathematically, there will be very specific definitions and procedures to follow regarding measurement values. In the real world, you have to remember these are only an approximation to reality, hopefully a useful one.

7 0
3 years ago
I will give brainliest if you solve #11 please and thank you!!!
julsineya [31]

Answer:

39.6%

Step-by-step explanation: 99/250=39.6%

7 0
2 years ago
Read 2 more answers
3. Determine if the following triangle is a right triangle or not using the Pythagorean Theorem Converse. Triangle with side len
stepladder [879]

Answer:

false

Step-by-step explanation:

these measure do not form a right triangle

5 0
2 years ago
20.   The sum of two consecutive even integers is 158. Find the least of the two integers. 
Mumz [18]

Answer:

78

Step-by-step explanation:

The tricky part of this is figuring out how to assign the unknowns.  We are told that we are working with two consecutive even integers.  Consecutive means "next to" or "in order" and sum means to add.  If we use 2 and 4 as examples of our 2 consecutive even integers and assign x to 2, then in order to get from 2 to 4 we have to add 2.  So the lesser of the 2 integers is x, and the next one in order will be x + 2.  (2 and 4 are just used as examples; they mean nothing to the solving of this particular problem.  You could pick any 2 even consecutive integers and find the same rule applies.  All we are doing here with the example numbers is finding a rule for our integers.)  Now we have the 2 expressions for the integers, we will add them together and set the sum equal to 158:

x + (x + 2) = 158

The parenthesis are unnecessary since we are adding, so when we combine like terms we get

2x + 2 = 158 and

2x = 156 and

x = 78

That means that the lesser of the 2 integers in 78, and the next one in order would be 80, and 78 + 80 = 158

6 0
3 years ago
Read 2 more answers
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