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Leya [2.2K]
2 years ago
8

F(1)=2f(n+1) = f(n)+4What is f(10)?

Mathematics
1 answer:
diamong [38]2 years ago
8 0

9514 1404 393

Answer:

  38

Step-by-step explanation:

The recursion relation describes an arithmetic sequence with a first term of 2 and a common difference of 4. The explicit formula for the n-th term of the sequence is ...

  f(n) = f(1) +d(n -1) . . . . . for first term f(1) and difference d

  f(n) = 2 +4(n -1) = 4n -2

Then the 10th term is ...

  f(10) = 4(10) -2

  f(10) = 38

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The dimensions of the hallway below are 5 ft. and 4 ft. If the area were to be covered with carpet which costs $2.50 per square
cluponka [151]
You should just add that well help you 

7 0
3 years ago
This is a System Of Equations and I'd like it to get solved by the Elimination or Substitution Method.x+2y=83x+5y=8
Sonbull [250]

Answer:

x=133 y=-25

Step-by-step explanation:

I'll do both ways for you. So let's start with Substitution:

With the sub method, you have to set both equations equal to each other by setting them equal to the same variable. Since there is no coefficient in front of both x's in both equations, that variable will be easiest to solve for.

x + 2y = 83    &    x + 5y = 8

Solve for x.

x = 83 - 2y     &    x = 8 - 5y

Once you have solved for x, set each equation equal to one another and solve for y now.

83 - 2y = 8 - 5y

Isolate all variables to one side:

83 = 8 - 3y

Now subtract the 8 to fully isolate the y variable:

75 = -3y

Divide by -3:

-25 = y   Now that you have your first variable, plug it into one of the original equations and solve for x.

x + 2(-25) = 83

x - 50 = 83

x = 133

Now for the Elimination method. For this method you need to get rid of a variable by either subtracting/adding each equation together. Again, since you can subtract and x from both equations, you will be left with only the y variable to solve:

Put each equation on top of one another and subtract:

  x + 2y = 83

- (x + 5y = 8)

The x's will cancel out:

(x - x) + (2y - 5y) = (83 - 8)

Simplify:

-3y = 75

Solve for y

y = -25

Then, plug y = -25 into one of the original equations:

x + 5(-25) = 8

Solve for x:

x - 125 = 8

x = 133

Hope this helps!

8 0
2 years ago
Tina is making a scale model of A monument that is 155 feet tall she uses a scale of 1 inch = 5 feet how tall should Tina make h
fenix001 [56]

Tina should make 31 inch tall model to replicate 155 feet tall monument.

Step-by-step explanation:

This problem can be solved by direct unitary methods easily-

Firstly, Scale is the ratio of the dimension of the original substance to the dimension of a model

Scale= original dimension/ model dimension

Model is the miniaturised representation of a substance.

The monument is 155 feet tall

Tina replicates it with a scale 1inch: 5 feet

Thus, this means that Tina would need 155*1/5 = 31 inch tall model to replicate the complete length of the monument.

Hence Tina needs to make 31-inch tall model.

3 0
2 years ago
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How is 30 divided into 100 expressed as a percentage?
Ivenika [448]
Perceent means parts out of 100
x%=x/100

30/100=30%
6 0
3 years ago
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What's the expression with addition for -7-(-10)?​
Natasha2012 [34]

Answer:

3 is your answer

Step-by-step explanation:

-7-(-10)= 3

5 0
3 years ago
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