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lana [24]
3 years ago
13

(25 to the power of 9) + (5 to the power of 17) is divisble by 30.

Mathematics
1 answer:
Lelu [443]3 years ago
5 0

Answer:

5^16

Step-by-step explanation:

25^9 + 5^17

Replace 25 with 5^2

5^2^9 + 5^17

We know that a^b^c = a^(b*c)

5^(2*9)+ 5^17

5^18+ 5^17

We can factor out 5^17

5^17 (5+1)

5^17(6)

But we need 30 so I need one more 5 inside 5^17 = 5^16 *5

5^16 *5 *6

5^16(30)

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Valeries pay is $1420 per week; 22% of that is taken by the government for income taxes. How much money does she take home on he
Alexandra [31]

Answer:

1107.6

Step-by-step explanation:

1420x.22 =312.4

1420-312.4=1107.6

4 0
3 years ago
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. The fi
mel-nik [20]

Answer:

Lateral Surface Area = 472 m²

Total Surface Area = 486m²

Step-by-step explanation:

The above prism is a Triangular prism

a) Lateral Surface Area = Perimeter of the Base × H

H = 29m

Perimeter of the Base = (7m + 7.28m + 2m)

= 16.28m

Lateral Surface Area = 16.28m × 29m

= 472.12 m²

Approximately to the nearest whole number = 472 m²

b) Total Surface Area

Triangular prism =

2 Triangles and 3 Rectangles

1st Triangle = 1/2 × base × Height

= 1/2 × 2m × 7m

= 7m²

2nd Triangle = 1/2 × base × height

= 1/2 × 2m × 7m

= 7m²

1st Rectangle = Length × Width

= 29m × 2m = 58m²

2nd Rectangle =

Length × Width

= 29m × 7.28m = 211.12m²

Length × Width

= 29m × 7m = 203m²

Total surface area = 7m² + 7m² + 58m² + 211.12m² + 203m²

= 486.12m²

Approximately to the nearest whole number = 486 m²

Option A is the correct option

6 0
3 years ago
Long rationalise surds questions <br>pls help​
Katena32 [7]

Answer:

Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.

Step-by-step explanation:

Noah had to rationalize the denominator of \frac{32}{5-\sqrt{7}}

According to him,

\frac{32}{5-\sqrt{7} = \frac{32(5+\sqrt{7}{(5-\sqrt{7})(5+\sqrt{7}

Solving the nominator and denominator

= \frac{160-32\sqrt{7}}{25+5\sqrt{7}-5\sqrt{7}-7}

Noah did correctly till this point.

In the next step he add 25 and 7 in the denominator, whereas, it should be subtracted.

Hence,

Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.

3 0
3 years ago
Plz help me ...
Novay_Z [31]
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8 0
3 years ago
Need help checking my answers
kifflom [539]

Answer:

Step-by-step explanation:

_______

Good evening ,

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Look at the photo below for the answer,

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6 0
3 years ago
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