Answer:
1. n=0 2. x = 15 and 3. m = -5
Step-by-step explanation:
1. 28^3*32^n = 28^3
Divide both sides by 28^3:-
32^n = 1
n = 0 ( any number to the power 0 = 1)
2. 30^x * 30^5 = 30^20
divide both sides by 30^5
30^x = 30^15
because the 2 bases are the same ( both = 390) we have:-
x = 15
3. a^m * a^3 = 1 / a^2
a^m * a^3 = a^-2
Divide both sides by a*3
a^m = a^-5
so m = -5
Answer:
18/5
Step-by-step explanation:
let the first term of arithmetic sequence = a and the common difference =d
The first term = a
second term = a + d
third term = a + 2d
fourth term = a + 3d
fifth term = a + 4d
Therefore, the sum of the first five terms = a + (a+d) +(a+2d)+(a+3d)+(a+4d)=5a +10d
The next five terms are
sixth term=a+5d
seventh term=a+6d
eight term=a+7d
ninth term=a+8d
tenth term=a+9d
The sum of the next five terms above=(a+5d)+(a+6d)+(a+7d)+(a+8d)+(a+9d)=5a+35d
The sum of the first five terms is 90 less than the sum of the next five terms
Therefore, 5a+9d+90=5a+35d
90=35d-10d=25d
d=90/25=18/5
Therefore the absolute difference between consecutive terms =18/5
With shells, the volume is given by
The theoretical probability of spinning an odd number is equal to 5/9.
The experimental probability is equal to 3/5.
The theoretical probability of is greater than the experimental probability.
The sample space is H1 T1 H2 T2 H3 T3 H4 T4 H5 T5 H6 T6.
The different combo meals that are possible is 90.
The experiment probability that the pea pod has 9 peas in it is 45%.
<h3>What are the probabilities?</h3>
Probability is used to determine how likely it is that an event would happen. Experimental probability is based on the result of an experiment that has been carried out multiples times
The theoretical probability of spinning an odd number = odd numbers between 1 and 9 / 9 = 5/9
The experimental probability = number of odd number / sample space
6/10 = 3/5
The different combo meals possible = 6 x 5 x 3 = 90
The experiment probability that the pea pod has 9 peas in it = number of pods with 9 peas / total number of peas
(18/40) x 100 = 45%
To learn more about experimental probability, please check: brainly.com/question/23722574
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Answer ;Fair
6 sections and they each have 3