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3 years ago

Using inductive reasoning, show that t(n+1)=t(n-2)+2t(n-1)

Mathematics

1 answer:

professor190 [17]3 years ago

6 0

Answer:

uuhhhh t=2/3n-2/3

Step-by-step explanation:

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Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many

Alex Ar [27]

Answer:

Number of apples remaining with him will be 2 when we combined both the conditions.

Step-by-step explanation:

Given;

Number of apples Jack Picked =76

Number of apples sold to Juanita = 4y

Number of apples sold to Sylvia = 3t

We need to find the Number of apples remaining with him.

Solution:

To find the Number of apples remaining with him we will Subtract Number of apples sold to Juanita and Number of apples sold to Sylvia from Number of apples Jack Picked.

framing in equation form we get;

Number of apples remaining with him = $76-4y-3t$

Now Given:

Condition 1 : y ≥ 15 and t = 2

So we can assume y =16 and t =2

Number of apples remaining with him = $76-4\times16-3\times2 = 76 -64 -6 = 6$

Also we can say that y =17 and t =2

Number of apples remaining with him = $76-4\times17-3\times2 = 76 -68 -6 = 2$

So the Given data is Insufficient to find the Number of apples remaining with him.

Condition 2 : y = 17

Number of apples remaining with him = $76-4\times17-3t = 76 -68 -3t = 8-3t$

Since value of t is not given we can say that;

Given data is insufficient to find the number of apples remaining with him.

Condition 3 : Combined i.e y = 17 and y≥ 15 t = 2

Number of apples remaining with him = $76-4\times17-3\times2 = 76 -68 -6 = 2$

Hence we can say that Number of apples remaining with him will be 2 when we combined both the conditions.

7 0

3 years ago

Lizeth earns $600 biweekly. What is her yearly salary?

nalin [4]

Answer:

31200.

Step-by-step explanation:

52 ×600

8 0

3 years ago

I need help with this problem quick.

KatRina [158]

The absolute value - or distance from zero, is fairly simple to find. Make your final answer positive to find it.

$|\frac{10-7}{4}| = |\frac{3}{4}| = |.75| = .75$

$|\frac{-15+8}{6}| = |-\frac{7}{6}| = |-1.2| = 1.2$

8 0

4 years ago

A triangular prism is 17 yards long and has a triangular face with a base of 12 yards and a height of 8 yards. The other two sid

Lisa [10]

Answer:

640 yard²

Step-by-step explanation:

From the question,

The surface are of a triangular prism is given as

A = bh+2ls+lb.................. Equation 1

Where A = Surface area of the triangular prism, b = base of of the triangular face, h = height of the triangular face, l = length of the triangular prism, s = length of one of the other sides of the triangle

Given: l = 17 yards, b = 12 yards, h = 8 yards, s = 10 yards.

Substitute these values into equation 1

A = [(12×8)+(2×17×10)+(17×12)]

A = 96+340+204

A = 640 Yard²

6 0

3 years ago

Rahul has a farm he wishes to fence. The farm is the pentagon ABCDE, shown below. He knows that ABCD is a 140 m by 150 m rectang

Dvinal [7]

Answer:

How do you except me to know

Step-by-step explanation:

Bruh I came here to find the Awnser not to actually work for it

6 0

3 years ago

Using inductive​ reasoning, show that ​t(n​+1)=​t(n-​2)+​2t(n-​1)

Using inductive reasoning, show that t(n+1)=t(n-2)+2t(n-1)