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padilas [110]
3 years ago
14

Write an expression that represents the volume of a rectangular prism (box) with length 2003-02-02-00-00_files/i0260000.jpg, wid

th 2003-02-02-00-00_files/i0260001.jpg, and height 5x. (For any rectangular prism with length l, width w, and height h, V = lwh.)
Mathematics
1 answer:
k0ka [10]3 years ago
3 0

h=5 in

w-6 in

l=12 in

SA/V=2*12*6+2*6*5+2*12*5/12*6*5

817:180

This is just an example do not use this exact equation and number! Hope it helps. : )
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Write an<br> explicit formula for An, the nth term of the sequence 7, -42, 252, ....
erik [133]

Answer:

A_n = 7(-6)^{n-1}

Step-by-step explanation:

<u>Key skills needed: Explicit formula, Geometric sequence</u>

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7   or   252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

a_n = a_1(r)^{n-1}

--> r means the constant (or common ratio) that is being multiplied.

--> a_1 means the first term

--> a_n means the "nth" numbered term (so a_3 is the 3rd term, a_{10} is the 10th term and so on).

--> n-1 is just the "n" in a_n minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> r = -6 (Since we got -6 as the constant/common ratio).

--> a_1  = 7 (Since 7 is the 1st term)

This means that our formula would be --> A_n = 7(-6)^{n-1}

<em>Hope you understood and have a nice day!! :D</em>

8 0
3 years ago
What is the value of x in the equation -6x= 5x + 222<br> -22<br> -2<br> 2
Leokris [45]

Answer:

x=-20\frac{2}{11}

Step-by-step explanation:

- 6x = 5x + 222

- 222 = 5x + 6x

11x = - 222

x = - 222 : 11

x = - 222/11

x=-20\frac{2}{11}

5 0
3 years ago
What is the volume of the prism 8 ft 3 ft 2 ft ( i ready) <br> (Cubic feet)
Oksanka [162]

Answer:

48ft^2

Step-by-step explanation:

volume= length x width x height

8 x 3 x 2 = 48

3 0
2 years ago
Find the quotient for 63÷8 showing work
Nastasia [14]
63/8 is 7.875, or 7 remainder 7.
5 0
3 years ago
I need help with this question. Write the equation in standard form. Identify A,B, and C.
frutty [35]
\frac{5}{2}x-9=8y\\&#10;\frac{5}{2}x-8y=9\\\\&#10;A=\frac{5}{2}\\&#10;B=-8\\&#10;C=9
6 0
3 years ago
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