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alisha [4.7K]
3 years ago
8

75 times 243 If your doing just for points I’ll report you

Mathematics
2 answers:
tia_tia [17]3 years ago
6 0
18,225 I hope you have the most amazing day
diamong [38]3 years ago
3 0
18,225 :) have a nice day!
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A sequence is defined by f(0) = -20, f(n) = f(n-1) - 5 forn > 1.
bulgar [2K]

Answer:

1. Proved down

2. proved down

3. f(10) = -20 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5

Step-by-step explanation:

Let us explain how to solve the question

∵ f(0) = -20, f(n) = f(n - 1) - 5 for n > 1

→ That means we have an arithmetic sequence with constant

   difference -5 and first term -20

1. → f(1) means we need to find the second term, which equal the

      term - 5

∵ f(1) means n = 1

∴ f(1) = f(1 - 1) - 5

∴ f(1) = f(0) - 5

∵ f(0) = -20

∴ f(1) = -20 - 5 → Proved

2. → f(3) means we need to find the third term, which equal the

   second term - 5

∵ f(3) means n = 3

∴ f(3) = f(3 - 1) - 5

∴ f(3) = f(2) - 5

→ f(2) = f(1) - 5

∵ f(1) = -20 - 5

∴ f(2) = [-20 - 5] - 5 = -20 - 5 - 5

∴ f(3) = [-20 - 5 - 5] - 5

∴ f(3) = -20 - 5 - 5 - 5 → Proved

3. → From 1 and 2 we notice that the number of -5 is equal to n,

      at n = 1 there is one (-5), when n= 3 there are three (-5)

∵ n = 10

∴ There are ten (-5)

∴ f(10) = -20 - 5(10)

∴ f(10) = -20 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 → Proved

6 0
3 years ago
54 as a product of primes
kvasek [131]
54 can be factored as follows:

54

2*27

2*3*9

2*3^2*3

2*3^3

Therefore, 54 is equal to 2*3^3, or 2*3*3*3.
6 0
3 years ago
What is 5/9 times 32?
DIA [1.3K]
5/9* 32
= (5*32)/9
= 160/9
= (153+ 7)/9
= 153/9+ 7/9
= 17+ 7/9
= 17 7/9

The final answer is 17 7/9~
7 0
3 years ago
-3x(x+8)+x+2(9-x-x^2) please show solving steps
Flauer [41]

Answer:

-5x^2 - 25x + 18

Step-by-step explanation:

-3x ( x + 8 ) + x + 2 ( 9 - x - x^2 )  ( original equation )

-3x^2 - 24x + x + 18 - 2x - 2x^2   ( distribute )

-3x^2 - 2x^2 - 24x + x - 2x + 18   ( order them based on the variables . )

( -3x^2 - 2x^2 ) (- 24x + x - 2x ) ( + 18 )    ( just separated them not a part of solving !! )

-5x^2 - 25x + 18    ( solved , and the answer :) )

Hope its helps !!!

4 0
3 years ago
An epidemiologic survey of roller-skating injuries in Metroville, a city with a population of 100,000 (during the midpoint of th
Ahat [919]

Answer: c. \dfrac{90}{1800}\times100\%

Step-by-step explanation:

As per given , we have

Total number of residents injured from roller-skating =1,800

Total number of deaths from roller-skating = 90

Formula for Mortality rate : Mortaility\ rate= \dfrac{Deaths\ due \ to\ injury}{Tota\ injuries}

Then, the proportional mortality ratio (%) due to roller-skating was

=\dfrac{90}{1800}\times100\%

= 5%

Hence, the correct answer is c.\dfrac{90}{1800}\times100\%

8 0
3 years ago
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