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3 years ago

• Puzzle refer to the above attachment .

Mathematics

1 answer:

dem82 [27]3 years ago

3 0

The solution to this puzzle is 10+3 = 13

<h3>How to solve the puzzle</h3>

To solve this the values at the top of the star were gotten by the addition of two values inside the stars.

3 + 12 = 15
12 + 4 = 16
4 + 2 = 6
2 + 10 = 12
10 + 3 = 13

Therefore the answer to this question is 13.

Another way of getting the value is by adding 15 + 16 = 31

12 + 6 = 18

31-18 = 13

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20 POINTS

RUDIKE [14]

<em>The correct expressions are as follows:</em>

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Equivalent $343$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Not Equivalent $49$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Equivalent $7^{\frac{1}{5}} \cdot 7^{\frac{14}{5}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Not Equivalent $49^{\frac{2}{10}} \cdot 7^{\frac{1}{5}}$

$\texttt{ }$

<h3>Further explanation</h3>

Let's recall following formula about Exponents and Surds:

$\boxed { \sqrt { x } = x ^ { \frac{1}{2} } }$

$\boxed { (a ^ b) ^ c = a ^ { b . c } }$

$\boxed {a ^ b \div a ^ c = a ^ { b - c } }$

$\boxed {\log a + \log b = \log (a \times b) }$

$\boxed {\log a - \log b = \log (a \div b) }$

<em>Let us tackle the problem!</em>

$\texttt{ }$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{1}{5}} \cdot (7^2)^{\frac{7}{5}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{1}{5}} \cdot (7)^{2\times \frac{7}{5}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = \boxed{7^{\frac{1}{5}} \cdot 7^{\frac{14}{5}}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{1}{5} + \frac{14}{5}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{\frac{15}{5}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = 7^{3}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}} = \boxed{343}$

$\texttt{ }$

<em>From the results above, it can be concluded that the correct statements are:</em>

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Equivalent $343$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Not Equivalent $49$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Equivalent $7^{\frac{1}{5}} \cdot 7^{\frac{14}{5}}$

$7^{\frac{1}{5}} \cdot 49^{\frac{7}{5}}$ Not Equivalent $49^{\frac{2}{10}} \cdot 7^{\frac{1}{5}}$

$\texttt{ }$

<h3>Learn more</h3>

Coefficient of A Square Root : brainly.com/question/11337634
The Order of Operations : brainly.com/question/10821615
Write 100,000 Using Exponents : brainly.com/question/2032116

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Exponents and Surds

Keywords: Power , Multiplication , Division , Exponent , Surd , Negative , Postive , Value , Equivalent , Perfect , Square , Factor.

4 0

4 years ago

Read 2 more answers

Hello<br>mere pyaare bhaiyo or bheno

goldfiish [28.3K]

Cz I secretly enter this site

Non of my family knows

Cz they are over protective lol

Only a cousin know

That's why l can't pay to comment

It's sad life bro

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3 years ago

17. Find the value of the function h(x) = 7x - 11 given that = 8m +3

Naya [18.7K]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

A certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.6 c

Fed [463]

Answer:

Table of charges:

KWh 0 5 10 15 20

Basic charge (cents) 11.60 11.60 11.60 11.60 11.60

Charge for first 10 kWh (4.59cents) 0 22.95 45.90 45.90 45.90

Additional usage above 10 kWh 0 0 0 48.55 97.10

(9.71 cents)

Total (cents) 11.60 34.55 57.50 106.05 154.60

cost (dollar) 0.12 0.35 0.58 1.06 1.55

KWh 25 30 35 40

Basic charge (cents) 11.60 11.60 11.60 11.60

Charge for first 10 kWh (4.59cents) 45.90 45.90 45.90 45.90

Additional usage above 10 kWh 145.65 194.20 242.75 291.30

(9.71 cents)

Total (cents) 203.15 251.70 300.25 348.80

cost (dollar) 2.03 2.52 3.00 3.49

Step-by-step explanation:

a) Data:

Basic charge = 11.6 cents (0.116)

Charge for the first 10 kWh = 4.59 cents (0.0459)

Charge for additional usage above 10 kWh = 9.71 cents (0.0971)

b) Each kWh consumed or not attracts the basic charge of 11.6 cents. The first 10 kWh consumed is billed at 4.59 cents, while the additional kWh consumed is charged at 9.71 cents. The charge per consumption is first totaled in cents before being converted to dollars by dividing by 100.

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