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3 years ago

A sequence is defined by the recursive function f(n + 1) = f(n) – 2. If f(1) = 10, what is f(3)? 1 6 8 30

2 answers:

4 0

The value of f(3) would be 6.

Using our formula, we know that f(1) = 10, and f(2) = f(1) - 2 = 10-2 = 8. That means that f(3) = f(2) - 2 = 8 - 2 = 6.

Svet_ta [14]3 years ago

4 0

Answer:

Step-by-step explanation:

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On moving day, Jorge needs to rent a truck. The length of the cargo space is 12 ft, and the height is 1 ft less than the width.

lidiya [134]

Answer:

12ft $\times$ 7ft $\times$ 6ft

Step-by-step explanation:

Given that truck can hold = 504 $ft^{3}$ i.e.

Volume, V = 504 $ft^{3}$

Length of cargo space = 12 ft

Let width of cargo space = w ft

As per question statement:

Let height of cargo space = (w-1) ft

To find: The Dimensions of Cargo Space

Formula for Volume of Cargo Space:

V = Length $\times$ Width $\times$ Height

Putting the given values and conditions:

504 = 12 $\times$ $w \times (w-1)$

$\Rightarrow w(w-1) = \dfrac{504}{12}\\\Rightarrow w^{2} -w = 42\\\Rightarrow w^{2} -w - 42=0\\\Rightarrow w^{2} -7w +6w -42 =0\\\Rightarrow w(w -7) +6(w -7) =0\\\Rightarrow (w -7)(w+6) = 0\\\Rightarrow w =7, -6$

Dimensions can not be negative, so width, w = 7 ft

Height = (w-1) = 7-1 = 6 ft

So, the dimensions are 12ft $\times$ 7ft $\times$ 6ft.

5 0

3 years ago

WHOEVER gives the CORRECT answer FIRST, gets brainliest answer and thanks

Alex_Xolod [135]

Yes, because they are similar(or you can call congruent), proved by SAS or simply HL.

7 0

3 years ago

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The area of a circle is 9π m². What is the circumference, in meters? Express answer in terms of π

ad-work [718]

Answer:

20.25 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

9 pi = 2 * pi *r

Divide each side by 2pi

9pi / 2 pi = 2 pi r / 2 pi

4.5 = r

Now we can find area

A = pi r^2

= pi ( 4.5)^2

20.25 pi

8 0

2 years ago

Carlotta is helping her grandfather center a large framed picture on his living room wall. The

slamgirl [31]

Answer:

8.25 ft.

Step-by-step explanation:

Subtract 7.5 from 24 to get the remaining amount of wall that has no picture frame covering it. 24 - 7.5 = 16.5. You then would divide 16.5 by 2 as there are two sides on either side of the painting that need to be covered. 16.5 / 2 = 8.25. To check yourself: 8.25 + 8.25 + 7.5 = 24.

3 0

3 years ago

22. Evaluate -3x+x³ for x = -3

bekas [8.4K]

Answer:

-18

Step-by-step explanation:

-3x + x³

-3(-3) + (-3)³

9 + (-27)

9 - 27 = -18

3 0

3 years ago

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