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Andrei [34K]
4 years ago
7

Consider the two numerical expressions below. Which one is true and which one is false? (9 1/2) 4 = 81 (4 1/6) 3 = 16

Mathematics
2 answers:
melomori [17]4 years ago
7 0
Both of them are false
crimeas [40]4 years ago
4 0
Do you mean exponents? If so then

<span>(9^1/2)^4 
= 9^(1/2 *4)
= 9^4/2
= 9^2
= 81 ....This is true
---------------------------

</span><span>(4^1/6)^3 
</span>= 4^(1/6 *3)
=4^3/6
=4^1/2
= sqrt (4)
= 2 .......not equal 16 .....so it's false

so answer

(9^1/2)^4  = 81 is true
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In a group of 250 music lovers, 135 of them like folk songs and 150 like modem
AVprozaik [17]

Answer:

i cant make a diagram but here i go.

Step-by-step explanation:

250-135=115

250-150=100

100+115=215

250-215=35

So your answer is that 45 people like both, 115like modern, 100 like folk song, and 35 like both.

5 0
3 years ago
The tempature in Frwnoo is 71.8.<br><br> Round this temp. to nearest whole number.
makkiz [27]

Answer:

72

Step-by-step explanation:

Round to nearest whole number.

71.8 is rounded to 72.

72 is the answer to your question.

8 0
3 years ago
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The Campbell Company is considering adding a robotic paint sprayer to its production line. The sprayer's base price is $1,020,00
tatyana61 [14]

1. The Year-0 net cash flow is -$1,061,500.

2. The net operating cash flows in Years 1, 2, and 3 are as follows:

Year 1: $288,750 ($386,000 x 1 - 0.25)

Year 2: $288,750 ($386,000 x 1 - 0.25)

Year 3: $288,750 ($386,000 x 1 - 0.25)

3. The additional Year-3 cash flow (i.e, the after-tax salvage and the return of working capital) is $468,750 {($599,000 x 1 - 0.25) + $19,500}.

4. The NPV of the project is ($13,139).

5. The machine should not be purchased because it does not yield a positive NPV.

<h3>What is the net present value?</h3>

The net present value (NPV) shows the difference between the present value of cash inflows and the present value of cash outflows over a period of time.

It is determined by calculating the present values of cash flows using their present value factors as below:

<h3>Data and Calculations:</h3>

Initial cash outlay = $1,061,500 ($1,020,000 + $22,000 + $19,500)

Salvage value = $599,000

Increase in net working capital = $19,500

Annual savings before tax = $386,000

Tax rate = 25%

Annuial savings after tax = $288,750 ($386,000 x 1 - 0.25)

<h3>Determination of Net Present Value (NPV):</h3>

Year      Cashflows        PV Factor     Present Value

0          -$1,061,500               1             -$1,061,500

1              $288,750          0.901           $260,164

2             $288,750          0.812          $234,465

3             $288,750          0.731            $211,076

3             $468,750          0.731          $342,656

Net present value                                -$13,139

Thus, the project should not be undertaken by The Campbell Company due to the negative NPV that it yields.

Learn more about determining the NPV at brainly.com/question/18848923

#SPJ1

5 0
2 years ago
inside each set and subsets .write at least 5 example of each kind of number. integers , whole ,rational ,natural ,irrational​
vagabundo [1.1K]

Answer:

Integers: is the set of all the numbers that can be created by adding ones or subtracting ones a given number of times to zero.

for example:

4 = 0 + 1 + 1+ 1 +1  is an integer.

-3 = 0 - 1 - 1- 1 is an integer.

0 is also an integer, you add ones zero times.

Then 5 examples of integers can be:

-10, -5, 0, 4, 18

Whole numbers: this set is the set of the positive integers and the zero.

Then 5 examples are:

0, 1, 4, 6, 173

Rational: All the numbers that can be written as a quotient of two integers.

5 examples are:

2/2, 7/3, 4/16, 100/10, -500/1048

Natural: Is the set of the positive integers.

5 examples are:

1, 4, 6, 120, 47

Irrational: Are numbers that have infinite digits after the decimal point, such that there is no pattern in those digits. The squareroots of prime numbers are always irrational numbers.

5 examples are:

pi, √2, √3, √5, √13

where pi = 3.141592653...

Is the relation between the perimeter of a circle and its diameter.

perimeter = diameter*pi.

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