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iogann1982 [59]
3 years ago
13

What is the constant variation k of the of the direct variation y=kx through 5,8

Mathematics
1 answer:
Serga [27]3 years ago
7 0
Y = kx

Through point  5, 8.  When x = 5,  y = 8

y = kx

8 = k*5

8 = 5k

8/5 = k

k = 8/5 = 1.6

k = 1.6

I hope this helps.
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Is 301 in the sequence below?<br> -9, -5,-1,3,7,...
dusya [7]

Answer:

no

Step-by-step explanation:

Establish the nth term formula

There is a common difference d between consecutive terms, that is

d = - 5 - (- 9) = - 1 - (- 5) = 3 - (- 1) = 7 - 3 = 4

This indicates the sequence is arithmetic with nth term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 9 and d = 4 , then

a_{n} = - 9 + 4(n - 1) = - 9 + 4n - 4 = 4n - 13

Equate 4n - 13 to 301

4n - 13 = 301 ( add 13 to both sides )

4n = 314 ( divide both sides by 4 )

n = 78.5

Since n is not an integer then 301 is not in the sequence

3 0
2 years ago
A computer virus is trying to corrupt two files. The first file will be corrupted with probability 0.4. Independently of it, the
Ksivusya [100]

Answer:

P(X = 0) = 0.42

P(X = 1) = 0.46

P(X = 2) = 0.12

Step-by-step explanation:

We have these following probabilities:

40% probability that the first file is corrupted. So 60% probability that the first file is not corrupted.

30% probability that the second file is corrupted. So 70% probability that the second file is not corrupted.

Probability mass function

Probability of each outcome(0, 1 and 2 files corrupted).

No files corrupted:

60% probability that the first file is not corrupted.

70% probability that the second file is not corrupted.

So

P(X = 0) = 0.6*0.7 = 0.42

One file corrupted:

First one corrupted, second no.

40% probability that the first file is corrupted.

70% probability that the second file is not corrupted.

First one ok, second one corrupted.

60% probability that the first file is not corrupted.

30% probability that the second file is corrupted.

P(X = 1) = 0.4*0.7 + 0.6*0.3 = 0.46

Two files corrupted:

40% probability that the first file is corrupted.

30% probability that the second file is corrupted.

P(X = 2) = 0.4*0.3 = 0.12

8 0
2 years ago
For a brainlist +10 points please help
Strike441 [17]

Answer:

C. Two smaller atoms come together to form a larger atom that is a different element.

Explanation:

Fusion is a reaction in which two nuclei combine to form a nucleus with the release of energy.

8 0
2 years ago
Calculate the sum of the multiples of 4 from 0 to 1000
allochka39001 [22]

Answer:

sum is 125,500

sum in summation notation is \sum\limits_{n=0}^n a+nd= (2a+(n-1)d)n/2

Step-by-step explanation:

This problem can be solved using concept of arithmetic progression.

The sum of n term terms in arithmetic progression is given by

sum = (2a+(n-1)d)n/2

where

a is the first term

d is the common difference of arithmetic progression

_____________________________________________________

in the problem

series is multiple of 4 starting from 4 ending at 1000

so series will look like

series: 0,4,8,12,16..................1000

a is first term so

here a is 0

lets find d the common difference

common difference is given by nth term - (n-1)th term

lets take nth term as 8

so (n-1)th term = 4

Thus,

d = 8-4 = 4

d  can also be seen 4 intuitively as series is multiple of four.

_____________________________________________

let calculate value of n

we have last term as 1000

Nth term can be described

Nth term = 0+(n-1)d

1000 =   (n-1)4

=> 1000 = 4n -4

=> 1000 + 4= 4n

=> n = 1004/4 = 251

_____________________________________

now we have

n = 1000

a = 0

d = 4

so we can calculate sum of the series by using formula given above

sum = (2a+(n-1)d)n/2

       = (2*0 + (251-1)4)251/2

       = (250*4)251/2

     = 1000*251/2 = 500*251 = 125,500

Thus, sum is 125,500

sum in summation notation is \sum\limits_{n=0}^n a+nd= (2a+(n-1)d)n/2

3 0
2 years ago
Cho tam giác ABC vuông tại A , đường cao AH . Gọi D và E lần lượt đối
stepladder [879]

Answer:

Sorry i don't speak Vietnam so i can't help you if you write it in English i will have a chance to help you

6 0
2 years ago
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