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Finger [1]
3 years ago
15

Understand how to work with negative bases and negative exponents.

Mathematics
2 answers:
sweet [91]3 years ago
8 0

Answer:

5^2=25 5x5

5^-2=.04 The reciprocal of 5 is 1/5 ^2 means that 1/5 x2 = 2/5 or .4

(-5)^2=25 -5*-5

-5^2=-25 -(5*5)

777dan777 [17]3 years ago
5 0

Answer:

Understand \:  how  \: to  \:  work  \: with  \: negative  \: bases \\   \: and \:  negative  \: exponents. \\\bold{answer - } \\  {5}^{2}  = 5 \times 5 = 25 \\  {5}^{ - 2}  =  \frac{1}{ {5}^{2} }  =  \frac{1}{25}  = 0.04 \\   {( - 5)}^{2}  = ( - 5)  \times ( - 5) = 25 \\  -  {5}^{2}  = ( - 5) \times ( - 5) = 25 \\  \\  \bold \purple{hope \: it \: helps \: ♡}

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In a school election, Juan received 4 times as many votes as Wayne, Neal recurved twenty less votes than Juan, and Kerry got hal
77julia77 [94]

Votes received by Wayne is 112

<em><u>Solution:</u></em>

To find: votes received by Wayne

Let the vote received by Wayne be "x"

<em><u>Juan received 4 times as many votes as Wayne</u></em>

Therefore,

Juan votes = 4 times as many votes as Wayne

Juan votes = 4x  ---- eqn 1

<em><u>Neal received twenty less votes than Juan</u></em>

Neal votes = twenty less votes than Juan

Neal votes = Juan votes - 20

Neal votes = 4x - 20 ---- eqn 2

<em><u>Kerry got half as many votes as Neal</u></em>

Kerry votes = half of neal votes

Kerry votes = \frac{4x - 20}{2}  ---- eqn 3

The total votes cast in the election was 1,202

Wayne votes + Juan votes + Neal votes + Kerry votes = 1202

Plug in eqn 1 , eqn 2, eqn 3

x + 4x + 4x - 20 + \frac{(4x - 20)}{2} = 1202\\\\2x + 8x + 8x - 40 + 4x - 20 = 1202 \times 2\\\\22x - 60 = 2404\\\\22x = 2404 + 60\\\\22x = 2464\\\\x = 112

Therefore votes received by Wayne is 112

4 0
3 years ago
Yolanda is planning out her square vegetable garden. One side 7 feet. How
Elan Coil [88]
Well if it’s a square all sides are equal, so all sides are 7ft.

Perimeter=
7+7+7+7=28ft
Or
7•4=28

Hope this helps!!!
3 0
3 years ago
The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).
lesantik [10]

Answer:

(a).

S_{n} =  \frac{n}{2} (4n + 20) \\  \\S _{n - 1} =  \frac{(n - 1)}{2} (4n - 4 + 20) \\  \\ S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16) \\  \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2}  \\   \\  { \boxed{S _{n - 1} =  {2 {n}^{2} + 6n - 8}}} \\

(b).

from general equation:

S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16)

first term is 4n

common difference:

16 =  \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d =  \frac{16}{n - 2}

8 0
3 years ago
Can anyone help me with this?
Neko [114]

Answer:

the answer would be 5

Step-by-step explanation:

because if there was 15 truth or false questions that would be 45 points and if there where 5 essay questions that would be 55 questions 45+55=100 points and 15+5 questions is 20 questions so there would be 5 essay questions.

3 0
2 years ago
How do i write b + 3 = b^2 in verbal expression
igor_vitrenko [27]

Answer:

b plus 3 is equal to b squared

7 0
3 years ago
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