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2 years ago

A sequence is defined by the recursive function f(n + 1) =1/3 f(n). if f(3) 9= , what is f(1)

Mathematics

1 answer:

gayaneshka [121]2 years ago

5 0

Answer:

f(1) = 81

Step-by-step explanation:

f(n + 1) = 1/3 f(n)

⇔ f(n) = 3 × f(n + 1)

……………………………

if f(3) = 9 ⇒ f(2) = 3 × f(3) = 3 × 9 = 27

Then

f(1) = 3 × f(2) = 3 × 27 = 81

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Write 0.001742 in scientific notation.

Kobotan [32]

1.742 x 10^-3

This is because you have to move the decimal so there is no non zero digits left in the decimal point and if the number of decimal places you move will be the exponent on the "10". If you move the decimal to the right it will be a negative and if you move it to the left it will be a positive.

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3 years ago

The length of a rectangle is 2 inches more than its width. The perimeter of the rectangle is 24 inches. The equation 2x + 2(x +

Ulleksa [173]

Answer:

Width is 5 and length is 7

Step-by-step explanation:

You can solve the equation using the distributive property and inverse operations.

2x +2(x+2)=24

2x + 2x + 4 = 24

4x + 4 = 24

4x = 20

X = 5

This means the width is 5 and the length is 7.

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3 years ago

56 POINTS! Find the area of the following figure. Explain how you got your answer.

AleksAgata [21]

Answer:

26.5 units²

Step-by-step explanation:

I am splitting the figure into a rectangle and two triangles to make this easier for me.

The rectangle is b•h so 5•4 = 20 units²

Area of triangle=1/2bh

The left triangle is $\frac{1}{2}$ (3•3) ---> $\frac{1}{2}$ (9) ---> 4.5 units²

The right triangle is $\frac{1}{2}$ (2•2) ---> $\frac{1}{2}$ (4) ---> 2 units²

Then add it all up: 20+4.5+2 = 26.5 units²

3 0

2 years ago

How did my teacher get 70?- like I don’t understand

Neporo4naja [7]

Answer:

Each triangle has angles and all of those angles add up to 180 degrees total. since both of those angles at the bottom are equal then their angles would each be 70.

3 0

2 years ago

Read 2 more answers

Part of the proceeds from a garage sale was $455 worth of $5 bills and $20 bills. If there were 6 more $5 bills than 20$ bills f

Feliz [49]

Answer:

$\large \boxed{\text{17 \$20 bills and 23 \$5 bills}}$

Step-by-step explanation:

Let x = the number of $20 bills.

Then x + 6 = the number of $5 bills and

20x + 5(x + 6) = 455

$\begin{array}{rcl}20x + 5(x + 6) & = & 455\\20x + 5x + 30 & = & 455\\25x + 30 & = & 455\\25x & = & 425\\x & = &\dfrac{425}{25}\\\\x & = &\mathbf{17}\\\end{array}$

x = 17 = number of $20 bills

x + 6 = 17 + 6 = 23 = number of $5 bills

$\text{There were }\large \boxed{\textbf{17 \$20 bills and 23 \$5 bills}}$

Check:

$\begin{array}{rcl}20\times17+ 5(17 + 6) & = & 455\\340 + 5\times23& = & 455\\340 + 115 & = & 455\\455 & = & 455\\\end{array}$

OK.

7 0

3 years ago