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vazorg [7]
2 years ago
7

Noah enlarged a photograph by a scale factor of 6. The area of the enlarged photo is how many times as large as the area of the

original?
Mathematics
1 answer:
yaroslaw [1]2 years ago
8 0

The area of the enlarged photo is 36 times as large as the area of the original.

<em><u>Explanation</u></em>

Noah enlarged a photograph by a scale factor of 6.

The rule we will use here is......

"<em>If the side lengths of any shape are all enlarged by a scale  factor of k, then the area will be enlarged by a scale factor of  k^2"</em>

So, here the area of the photograph will be enlarged by a scale factor of  (6)^2 = 36

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Let f(x) be defined for any positive integer x greater than 2 as the sum of all prime numbers less than x. For example, f(4)=2+3
blsea [12.9K]

Answer:

f(86)-f(82)

Step-by-step explanation:

well f of 82 = 2 plus _ plus _ plus _ and f of 86 is 2+_+_+_ subtract them

 (A)  3            (B)   4           (C)   47            (D)   59             (E)   83

these are some possible answers so the answer is b, 4

btw, 86-82 = 4 duh

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3 years ago
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Find all pairs of natural numbers which can be the solution to the equation a+b=42.
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Answer:

(1,41), (2,40), (3,39), (4,38), (5,37), (6,36), (7,35), (8,34), (9,33), (10,32), (11,31), (12,30), (13,29), (14,28), (15,27), (16,26), (17,25), (18,24), (19,23), (20,22), (21,21), (22,20), (23,19), (24,18), (25,17), (26,16), (27,15), (28,14), (29,13), (30,12), (31,11), (32,10), (33,9), (34,8), (35,7), (36,6), (37,5), (38,4), (39,3), (40,2), (41,1).

Step-by-step explanation:

To find all pairs of natural numbers which are solution to a+b=42, we need to first choose a value to one of them (let's choose 'a'), and that value will be the lowest possible, so we begin with a=1, and then we increase to 2, and 3, and so on.

For each value of a, we calculate the value of b using the equation.

So, starting with a=1, we have that b=41

Then, with a=2, we have that b=40, and so on.

Doing this until a=41 (so b=1 will be the lowest value possible for b), we have the pairs of natural number we want:

(1,41), (2,40), (3,39), (4,38), (5,37), (6,36), (7,35), (8,34), (9,33), (10,32), (11,31), (12,30), (13,29), (14,28), (15,27), (16,26), (17,25), (18,24), (19,23), (20,22), (21,21), (22,20), (23,19), (24,18), (25,17), (26,16), (27,15), (28,14), (29,13), (30,12), (31,11), (32,10), (33,9), (34,8), (35,7), (36,6), (37,5), (38,4), (39,3), (40,2), (41,1).

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3 years ago
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Answer:

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3 0
3 years ago
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Answer:

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Step-by-step explanation:

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t = time of investment in years

For this case;

P = $100

t = 2years

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r = 12% = 0.12

Substituting the values, we have;

A = $100(1+0.12)^(2)

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