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Murrr4er [49]
3 years ago
10

Can you abstractly square the number, "0" ?

Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer: No, you cannot.

Step-by-step explanation: A square number cannot be a perfect number.

The numbers: 0, 1, 5, 14, 30, 55, 91, 140, 204, 285, 385, 506, 650, 819, 1015, 1240, 1496, 1785, 2109, 2470, 2870, 3311, 3795, 4324, 4900, 5525, 6201 are examples of perfect numbers.

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If you place a cup of 210 degree Fahrenheit coffee on a table in a room that is 68 degrees fareinheit, and ten minutes later, it
Lana71 [14]
Newton's Law of Cooling

Tf=Ts+(Ti-Ts)e^(-kt)   where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid.  So we need to find k first.

200=68+(210-68)e^(-10k)

132=142e^(-10k)

132/142=e^(-10k)

ln(132/142)=-10k

k=-ln(132/142)/10

k≈0.0073  so 

T(t)=68+142e^(-0.0073t)  so how long until it reaches 180°?

180=68+142e^(-0.0073t)

112=142e^(-0.0073t)

112/142=e^(-0.0073t)

ln(112/142)=-0.0073t

t= -ln(112/142)/(0.0073)

t≈32.51 minutes


8 0
3 years ago
Looking for some furniture for her new apartment, Susan visits the local swap meet in search of something cheap. Knowing that mo
Lady_Fox [76]

The amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

<h3>How to find the percentage from the total value?</h3>

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\dfrac{a}{100} \times b

For this case, we're given that:

  • Amonut Susan took out = $200
  • Interest rate = 32% annually (interest rates are usually expressed in annual (yearly) terms).
  • Amount paid off within 1 month

The interest was 32% annually, so in monthly terms, it would be 32/12 = 2.667% approx. (as there are 12 months in each year)

Since the balance was paid within one month, the interest would be simply 1 time calculated on the main balance.

Thus, we get:
Interest amount ≈ 2.667% of $200 = \dfrac{200}{100} \times 2.667 = 5.334 \approx 5.33 \: \rm (in \: dollars)

Thus, the amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

Learn more about percent here:

brainly.com/question/11549320

8 0
1 year ago
Mrs. Giuntini’s lawn is triangle shaped with a base of 25 feet and a height of 10 feet. What is the area of Mrs. Giuntini’s lawn
Vedmedyk [2.9K]

area \:  =  \frac{1}{2} bh \\ area \:  =  \frac{1}{2} (25)(10) \\ area =  \frac{1}{2} 250 \\ area = 125 \: feet ^{2}

4 0
2 years ago
Read 2 more answers
Gabriel has already 200 pages of his 530-page number reading book. If he reads at an a average rate of 55 pages per hour, how lo
Dafna1 [17]

Answer: 55x +200 = 530           x=6

Step-by-step explanation:

55x +200 = 530

-200                       -200

-------------------------------------------

55x = 330

divide by 55 on both sides

-------------------------------------------------

x=6

5 0
3 years ago
Please can someone answer this question! Worth 15 points
Westkost [7]
The statements that aer true or not or whatever

hmm, let's try te sencnarios
remember the commutative property of multiplication
ab=ba
so

what if they are both negative?
well, the negatives would cancel to leave with positive
the oposite would be both positive resulting in a positive

if they are differnt signs then result is negative
oposite would be still different signs so still negative
true statment
8 0
3 years ago
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