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2 years ago

What is the percentage increase of a room that is the size of 96 square feet to a room that is 108 square feet?

Mathematics

1 answer:

katrin [286]2 years ago

6 0

Answer:

12.5% increase OR 112.5% Percentage of Change

Step-by-step explanation:

For this problem consider that our original maximum value is 96 square feet, but our new maximum value is 108 square feet. So to find the change as a percentage (in this case the increase) use the following formula:

Percentage of Change = ( New Maximum / Old Maximum ) * 100

So, let's use this formula to find the percentage change of the room.

Percentage of Change = ( 108 / 96 ) * 100

Percentage of Change = (1.125) * 100

Percentage of Change = 112.5

So the percentage of Change is 112.5%. Note, the old maximum is the point of comparison which is 100%.

So to find the increase, we will do 112.5% - 100% to get 12.5%. Hence, we have a 12.5% increase of a 108 square foot room compared to a room of 96 square feet.

Cheers.

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MatroZZZ [7]

Answer:

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Step-by-step explanation:

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3 years ago

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Using the bijection rule to count binary strings with even parity.

AleksandrR [38]

Answer:

Lets denote c the concatenation of strings. For a binary string <em>a</em> in B9, we define the element f(a) in E10 this way:

f(a) = a c {1} if a has an odd number of 1's
f(a) = a c {0} if a has an even number of 1's

Step-by-step explanation:

To show that the function f defined above is a bijective function, we need to prove that f is well defined, injective and surjective.

f is well defined:

To see this, we need to show that f sends elements fromo b9 to elements of E10. first note that f(a) has 1 more binary integer than a, thus, it has 10. if a has an even number of 1's, then f(a) also has an even number because a 0 was added. On the other hand, if a has an odd number of 1's, then f(a) has one more 1, as a consecuence it will have an even number of 1's. This shows that, independently of the case, f(a) is an element of E10. Thus, f is well defined.

f is injective (or one on one):

If a and b are 2 different binary strings, then f(a) and f(b) will also be different because the first 9 elements of f(a) form a and the first elements of f(b) form b, thus f(a) is different from f(b). This proves that f in injective.

f is surjective:

Let y be an element of E10, Let x be the first 9 elements of y, then f(x) = y:

If x has an even number of 1's, then the last digit of y has to be 0, and f(x) = x c {0} = y
If x has an odd number of 1's, then the last digit of y has to be a 1, otherwise it wont be an element of E10, and f(x) = x c {1} = y

This shows that f is well defined from B9 to E10, injective, and surjective, thus it is a bijection.

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3 years ago

Point LL is located at (4,5)(4,5) on the coordinate plane. Point LL is reflected over the yy-axis to create point L'L ′ . What o

Virty [35]

Answer:

(-4, 5)

Step-by-step explanation:

Since the pint is reflected over the y-axis, its y-coordinate remains the same.

Point (4, 5) has 4 as its x-coordinate. That is 4 units right of the y-axis. The reflection has -4 as its x-coordinate which is 4 units left of the y-axis.

Answer: (-4, 5)

8 0

3 years ago

NEED HELP ASAP SOMEONE PLEASE!!!!

Alisiya [41]

Answer: The state with the second lowest population has the lowest population density.

Step-by-step explanation:

Since, Density = Population / Area

The population of state A = 1,055,173

Its area = 2677 square km

Thus, the density of state A = $\frac{1055173}{2677}$ = 394.162495,

The population of state B = 1,333,089

Its area = 36,418 square km

Thus, the density of state B = $\frac{1,333,089}{36,418}$ = 36.6052227,

The population of state C = 3,596,677

Its area = 5543 square km

Thus, the density of state C = $\frac{3,596,677}{5543}$ = 648.868302,

The population of state D =6,745,408

Its area = 10555 square km

Thus, the density of state D = $\frac{6,745,408}{10555}$ = 639.072288,

Since, by the above explanation,

The state in increasing order of the populations,

State A < State B < State C < State D,

Also, the state in increasing order of density,

State B < State A < State D < State C

⇒ Second option is correct.

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3 years ago

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kap26 [50]

5.25 gallons is your answer

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