17 points!!!
What is the missing exponent?



(2^-5) ????? = 2^-15

Answers

Answer 1
Answer: (2^-^5) ^x = 2 ^ - ^1^5  \n  \n ( (1)/(32) ) ^x =  (1)/(32768)  \n  \n \hbox{Solve the exponent.} \n  \n ( (1)/(32))^x =  (1)/(32768)  \n  \n\hbox{Take log of both sides} \n  \n  \hbox{log}} ( (1)/(32)) ^ x = log ( (1)/(32768))  \n  \n x * log  ((1)/(32) ) = log (  (1)/(32768) )  \n  \n \bold{ (log( (1)/(32768)))/(log (1)/(32) ) } \n  \n x = 3

Therefore the missing exponent is 3. Which makes the equation true.


Answer 2
Answer: { \left( { 2 }^( -5 ) \right)  }^( x )={ 2 }^( -15 )\n \n { 2 }^( -5x )={ 2 }^( -15 )\n \n \therefore \quad -5x=-15\n \n \therefore \quad x=3

Remember that:

{ \left( { a }^( m ) \right)  }^( n )={ a }^( m\cdot n )

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Find the sum (9x+4) + (6x-6)

What is the formula for the volume of a cuboid?

Answers

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cuboid have 3 sides=a,b,c
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Ben is greeting customers at a music store. Of the first 20 people he sees enter the store, 9 are wearing jackets and 11 are not. What is the experimental probability that the next person to enter the store will be wearing a jacket? Enter your answer as a simplified fraction.

Answers

The experimental probability that the next person to enter the store will be wearing a jacket is 9/20.

How to calculate the experimental probability?

The experimental probability of an event is defined as the ratio of the number of times the event occurs to the total number of trials or observations.

In this case, we have observed 20 people, and 9 of them were wearing jackets. Therefore, the experimental probability that the next person to enter the store will be wearing a jacket is:

P = Number of people wearing jackets / Total number of people observed

P = 9/20

Therefore, the experimental probability that the next person to enter the store will be wearing a jacket is 9/20.

To know more about experimental probability follow

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maybe when the next person is wearing a jacket that will be 3 since 11 minus 9 equals 2+1 which equals 3and before the person came in there it was 2

Thirty-five percent of students at Jones High School ride the bus. Two hundred seventy-three students ride the bus. How many students go to Jones High School? A) 96 B) 560 C) 694 D) 780

Answers

Answer: D) 780 is the right option. The total number of students go to Jones High School=780.


Step-by-step explanation:

Let the total students go to the Jones High School be 'x'.

Percentage of students ride the bus=35%

Number of students ride the bus= 273

According to the given question,

35% of x=273

\n\Rightarrow(35)/(100)*\ x=273\n\n\Rightarrow\ x=(273*100)/(35)\n\Rightarrow\ x=780

he total number of students go to Jones High School=780.

when I solved it I got 750.(273รท.35=780)

What is the rational number as a/b of 5 1/6

Answers

the answer would be 31/6

Danielle bought 2 boxes of tortilla chips and 3 boxes of unhealthy chips. Each box of tortilla chips had 4 bags, and each box of unhealthy chips contained 6 bags. How many more bags of unhealthy chips than tortilla chips did Danielle buy?

Answers

The answer is 10. 4x2, then 6x3,     set up like   (4x2)-(6x3)=10
There is 10 more unhealthy bags of chips than healthy chips. This can be found if you multiply 2 by 4 and then 3 by 6 and then subtract 8 from 18. 

Marta uses 1 piece of paper and 1 piece of ribbon to make kites. The paper comes in packs of 3 and the ribbon comes in packs of 4. What is the least number of kites Marta can make without any supplies left over?

Answers

Paper: 3/ 3/ 3/ 3
Ribbon: 4/ 5/ 6/ leftover 3
Kites: 3/ 3/ 3/ 3

Leftover: 1/ 2/ 3/ 0

Make a graph like that that solves the problem.

Answer:

12 kites because 12 is the least common multiple of 3 and 4