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julia-pushkina [17]
3 years ago
6

pls There are (4^9)^5 ⋅ 4^0 books at the library. What is the total number of books at the library? A.4^9 B. 4^45 C. 4^46 D. 1  

         
Mathematics
1 answer:
jekas [21]3 years ago
6 0
We know that there are (4^9)^5 ⋅ 4^0 at the library, so we just need to simplify this to get the answer.
(4^9)^5 ⋅ 4^0
=(4^9)^5×1
=(4^9)^5
=4^9×5
=4^45. As a result, the total number of books at the library is 4^45 books at the library or B is the final answer. Hope it help!
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Claire’s mother is 4 years more than twice Claire’s age. The sum of their ages is 58 years.
vichka [17]

Claire is 18 years old and her mother is 40 years old.

Step-by-step explanation:

Let,

Claire's age = x

Her mother's age = y

According to statement;

x+y=58   Eqn 1

y=2x+4   Eqn 2

Putting\ Eqn\ 2\ in\ Eqn\ 1\\x+(2x+4)=58\\x+2x+4=58\\3x+4=58\\3x=58-4\\3x=54\\Dividing\ both\ sides\ by\ 3\\\frac{3x}{3}=\frac{54}{3}\\x=18

Putting value of x in Eqn 2

y=2(18)+4\\y=36+4\\y=40

Claire is 18 years old and her mother is 40 years old.

Keywords: Linear equations, Substitution method

Learn more about substitution method at:

  • brainly.com/question/3306327
  • brainly.com/question/3375830

#LearnwithBrainly

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3 years ago
Three friends were at a festival together and they won 20 small prizes. They decided to split the prizes as evenly as possible.
NISA [10]

Answer:

they would each get 6 and there would be 2 left over

Step-by-step explanation:

3x6=18

20-18=2

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4 0
3 years ago
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This high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards
elena-14-01-66 [18.8K]

Answer:

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Step-by-step explanation:

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Trava [24]

f (n + 1) = f(n) – 5  is the recursive formula can be used to generate the sequence below, where f(1) = 6 and n ≥ 1

<h3><u>Solution:</u></h3>

Given that,

f(1) = 6 and n ≥ 1

Given sequence is 6, 1, -4, -9, -14

<em><u>Let us first analyse the logic used in this sequence</u></em>

6 - 5 = 1

1 - 5 = -4

-4 - 5 = -9

-9 - 5 = -14

Thus the next terms in sequence are obtained by subtracting 5 from previous term

Thus a recursive formula can be formed as:

f (n + 1) = f(n) – 5

Where "n" is the nth term

Let us check our recursive formula:

f(1+ 1) = f(1) - 5

f(2) = f(1) - 5

f(2) = 6 - 5 = 1

Thus we have got f(2) = 1 which is correct as per given sequence

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Answer:

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