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allochka39001 [22]
3 years ago
7

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t

he first term. 9, 10, 11, 12, ...
Mathematics
1 answer:
babunello [35]3 years ago
3 0

Answer:

T_n= 9+(n-1)

Step-by-step explanation:

The Given sequence is 9, 10, 11, 12

We need to find the expression to describe the sequence.

Let T_n be the n^{th} term of the sequence.

Let n represent the position of the term.

Let a be the first term in the sequence.

and d be the common difference between the sequence

Hence the expression to find the above sequence is given below;

T_n= a+(n-1)d

when n=1 d= 1 a = 9

T_1 = 9+(1-1)1 = 9 + 0 = 9

when n=2 d= 1 a = 9

T_2 = 9+(2-1)1 = 9 + 1 = 10

when n=3 d= 1 a = 9

T_3 = 9+(3-1)1 = 9 + 2 = 11

when n=3 d= 1 a = 9

T_4 = 9+(4-1)1 = 9 + 3 = 12

Hence the expression is T_n= 9+(n-1)

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Working together, it takes two computers 10 minutes to send out a company's email. If it takes the slower computer 50 minutes to
dimulka [17.4K]

Answer:

12.5 minutes

Step-by-step explanation:

When working together,It takes two computers 10 minutes to send out an email

It takes the slower computer 50 minutes to send out an email

Let x represent the time taken by the faster computer to do the job in its own

Therefore, the time required by the faster computer can be calculated as follows

1/x + 1/50= 1/10

Collect the like terms

1/x= 1/10-1/50

1/x= 4/50

Cross multiply both sides

4 × x = 50×1

4x=50

Divide both sides by the coefficient of x which is 4

4x/4=50/4

x= 12.5

Hence the time taken by the faster computer to finish the job on its own is 12.5 minutes

4 0
3 years ago
Which of the following equations have infinitely many solutions?
Svetllana [295]

Answer:

Choice A

Step-by-step explanation:

In each case, each equation has an equation of a line in y = mx + b form equaling another equation of a line in y = mx + b form. If the two sides are equal, it is the same equation, there are infinitely many solutions. If the sides are different, then if the slopes are different, the lines intersect at one point, and there is exactly 1 solution. If the slopes are equal, the lines are parallel, and there is no solution.

(Choice A) -10x-10=-10x-10

In Choice A, both sides of the equation are equal, so there are infinitely many solutions.

(Choice B) 10x-10=-10x+10

(Choice C) 10x-10=-10x-10

(Choice D) -10x-10=-10x+10

In choices B through D, the two sides are not equal, so there is either 1 solution (B and C since they have different slopes) or no solution (D since the slopes are equal).

3 0
3 years ago
HELP ASAP DUE TODAY PLZ HELP<br> Solve the equation for x.<br> 17=5+23x
LenKa [72]

Answer:

x=12/23

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

5 0
3 years ago
You have used the significant level of 0.01 to estimate the average hours of television viewing for the NJ students. What is the
Lorico [155]

Answer:

1%

Step-by-step explanation:

Given : You have used the significant level of 0.01 to estimate the average hours of television viewing for the NJ students.

To Find :What is the chance that our interval estimate does not contain the true population mean?

Solution:

We are given that You have used the significant level of 0.01 to estimate the average hours of television viewing for the NJ students.

So, α=0.01

Significance level indicates a risk of concluding that a difference exists when there is no actual difference.

So, The chance that our interval estimate does not contain the true population mean is 0.01

So, The chance that our interval estimate does not contain the true population mean is 0.01 \times 100 = 1\%

Hence Option D is true

8 0
3 years ago
Complete the square to transform the quadratic equation into the equation form (x – p)2 = q. x2 + 14x + 34 = 5
Bezzdna [24]
<h3>Answer:</h3>

B) (x + 7)^2 = 20

<h3>Step-by-step explanation:</h3>

You can subtract 34 from the original equation to get

... x^2 +14x = -29

Now, you can add the square of half the x-coefficient, and you will have ...

... x^2 +14x +49 = -29 +49

... (x +7)^2 = 20 . . . . . . matches selection B

_____

<em>Comment on answer choice A</em>

The question asks for the form (x -p)^2 = q, but that does not mean that p must be positive. Here, p=-7 and q=20.

4 0
3 years ago
Read 2 more answers
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