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Snezhnost [94]
2 years ago
5

Need help quick time is passing!!!!!!!!!!!!!!

Mathematics
2 answers:
Ludmilka [50]2 years ago
4 0

Answer:

m=2

y=7

m=9

a=32

t=138

h=7

plz mark as brainliest :)

Arisa [49]2 years ago
3 0
M=2
Y=7
m=9
a=32
t=138
h=7
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Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.​
Leni [432]

Answer:

To prove that 3·4ⁿ + 51 is divisible by 3 and 9, we have;

3·4ⁿ is divisible by 3 and 51 is divisible by 3

Where we have;

S_{(n)} =  3·4ⁿ + 51

S_{(n+1)} = 3·4ⁿ⁺¹ + 51

S_{(n+1)} - S_{(n)} = 3·4ⁿ⁺¹ + 51 - (3·4ⁿ + 51) = 3·4ⁿ⁺¹ - 3·4ⁿ

S_{(n+1)} - S_{(n)} = 3( 4ⁿ⁺¹ - 4ⁿ) = 3×4ⁿ×(4 - 1) = 9×4ⁿ

∴ S_{(n+1)} - S_{(n)} is divisible by 9

Given that we have for S₀ =  3×4⁰ + 51 = 63 = 9×7

∴ S₀ is divisible by 9

Since  S_{(n+1)} - S_{(n)} is divisible by 9, we have;

S_{(0+1)} - S_{(0)} =  S_{(1)} - S_{(0)} is divisible by 9

Therefore S_{(1)} is divisible by 9 and S_{(n)}  is divisible by 9 for all positive integers n

Step-by-step explanation:

5 0
3 years ago
If a cantaloupe weighs 2 3/8 pounds, a watermelon weighs 6.25 pounds, and a honeydew melon weighs 3 1/2 pounds, what is the tota
Mariana [72]
the answer to this question would be 12 and 1/8
3 0
3 years ago
Classify the polygon as regular or irregular, and concave or convex.
Svetradugi [14.3K]

Answer:

This would be a regular polygon.

Step-by-step explanation:

A regular polygon has congruent sides and interior angles.

An irregular polygon does not have congruent sides and all interior angles.

A convex polygon does not have a interior angle greater than 180°.

Lastly, a concave polygon has only one interior angle greater than 180°.

Using the process of elimination, it would not be a convex or concave polygon. Now we have either a regular or irregular polygon. This polygon can not be a irregular polygon because all the sides are congruent. This means that this polygon is a regular polygon!

7 0
3 years ago
A book club has 200 members
nikklg [1K]
So these are decmials of the accutal total so

.32=32%
what makes this question easy is that there are 200 members so to convert the percents into accutall numbers so like .32=32%=64 people (since 200 is 2 times of 100)

A. fiction of 31-40 compared to 21-30
fiction 31-40=.38=38%=76 readers
fiction 21-30=.32=32%=64 readers
76-64=12
A is FALSE

B. so we want to know how many people are 31-40 and prefer fiction
so .38=38% and 38% of 200=76
B is FALSE

C 43 members are 21-30
so we look at the total row for the 21-30 people and see that .43 or 43% or 86 people are in the 21-30 age group
C is FALSE

D. 140 members prefer fiction
look at the total column for fiction and see that .70 like fiction .70=70%=140 people
D is TRUE

so A,B,C are FALSE
D is TRUE
7 0
3 years ago
Which exponential equation is equivalent to the logarithmic equation below? log 478= a
marta [7]
\hbox{if } \log_x y=z \hbox{ then } x^z=y \\ \\
\log 478=a \\ \downarrow \\
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The answer is A.
5 0
3 years ago
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