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Firdavs [7]
3 years ago
12

Express in the form 2^n

Mathematics
1 answer:
Paraphin [41]3 years ago
4 0
\frac{1}{16} = \frac{1}{2^4} = 2^{-4}
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PLEASEEEEEE HELPPPPPPPP
Natali5045456 [20]
The formula for the sum of n terms in an arithmetic progression is:
S = n/2 * (2a + (n-1)d)
Here, the common difference, d, is 8 and the first term, a, is 1. Substituting these into the formula, we get:

S = n/2 * (2*1 + 8(n - 1))
S = n + 4n² - 4n
S = 4n² - 3n
The answer is A.
8 0
3 years ago
3
horrorfan [7]
More context pls idk
3 0
3 years ago
Please help thank you please
erastova [34]

Answer:

  3

Step-by-step explanation:

The map is <em>not a function</em> if any value of input maps to more than one value of output. We see that is the case in map D. The other three maps show functional relations.

3 mapping diagrams represent functions

7 0
2 years ago
60/8+X + 60/8-X = 16
Anuta_ua [19.1K]

Answer:

<h2>x = -2 or x = 2</h2>

Step-by-step explanation:

Domain:\\8+x\neq0\ \wedge\ 8-x\neq0\\\boxed{D:x\neq-8\ \wedge\ x\neq8}\\\\\dfrac{60}{8+x}+\dfrac{60}{8-x}=16\\\\\dfrac{60(8-x)}{(8+x)(8-x)}+\dfrac{60(8+x)}{(8+x)(8-x)}=16\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\\dfrac{60(8-x)+60(8+x)}{8^2-x^2}=16\qquad\text{use the distributive property}\\\\\dfrac{(60)(8)+(60)(-x)+(60)(8)+(60)(x)}{64-x^2}=16\\\\\dfrac{480-60x+480+60x}{64-x^2}=16\qquad\text{combine like terms}\\\\\dfrac{(480+480)+(-60x+60x)}{64-x^2}=16\\\\\dfrac{960}{64-x^2}=16

\dfrac{960}{64-x^2}=\dfrac{16}{1}\qquad\text{cross multiply}\\\\16(64-x^2)=(960)(1)\qquad\text{use the distributive property}\\\\(16)(64)+(16)(-x^2)=960\\\\1024-16x^2=960\qquad\text{subtract 1024 from both sides}\\\\1024-1024-16x^2=960-1024\\\\-16x^2=-64\qquad\text{divide both sides by (-16)}\\\\\dfrac{-16x^2}{-16}=\dfrac{-64}{-16}\\\\x^2=4\to x=\pm\sqrt4\\\\x=\pm2\in D

3 0
4 years ago
A plane set off to burbank at a speed of 215 mph.On the return flight of 13 hours, the plane cruised at 237 mph. How many hours
bearhunter [10]

It seems you need 2 equations:

We first must solve for: distance = rate * time  

Using return flight data:   distance = 237 * 13 = 3,081 miles

Then, using flight TO Burbank data: time = distance / rate

time = 3,081 / 215   time = 14.3302325581 hours


5 0
3 years ago
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