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pantera1 [17]
3 years ago
14

The sum of the squares of 3 consecutive positive integers is 116. What are the numbers?

Mathematics
1 answer:
Elza [17]3 years ago
5 0
You are supposed to use the third option: 3n2 + 6n + 5 = 116.
Take a look at the attachment to see how I got that solution. 
Hope it helps! :)

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PLEASE HELP ASAP, I WILL GIVE BRAINLESSLY ANSWER <br> SHOW WORK PLEASE
zhannawk [14.2K]

Answer:

C. N(t)=150\cdot 3^t

Step-by-step explanation:

You are given the exponential function n(t)=ab^t.

From the table, N(t)=150 at t=0, thus

N(0)=a\cdot b^0\\ \\150=a\cdot 1\ [\text{ because }b^0=1]

Also N(t)=450 at t=1, thus

N(1)=a\cdot b^1=a\cdot b.

Since  a=150, substitute it into the second equation

450=150\cdot b\\ \\b=\dfrac{450}{150}\\ \\b=3

and the expression for the exponential function is

N(t)=150\cdot 3^t

5 0
3 years ago
1-time offer! 10 Points!
lidiya [134]

Answer:

thanks

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If cos x=8/17, and 270° &lt; x &lt; 360°<br> what is cos(2x)?
svp [43]

Answer:  \bold{-\dfrac{161}{289}}

<u>Step-by-step explanation:</u>

Given: cos x = \dfrac{8}{17}, x is in Quadrant 4

Use Pythagorean Theorem to find sin x:

8² + y² = 17²    

      y² = 17² - 8²

      y² = 289 - 64

      y² = 225

      y = 15

→    sin x = -\dfrac{15}{17}

Use the double angle formula to find cos (2x):

cos (2x) = cos^2 x - sin^2 x\\\\.\qquad=\bigg(\dfrac{8}{17}\bigg)^2-\bigg(-\dfrac{15}{17}\bigg)^2\\\\\\.\qquad=\dfrac{64}{289}-\dfrac{225}{289}\\\\\\.\qquad=-\dfrac{161}{289}

             

8 0
3 years ago
Read 2 more answers
How many feet are in 508 cm ? ​
Alenkasestr [34]

Answer:

16.7

Step-by-step explanation:

30.48cm = 1 foot

508/30.48= 16.6667

round up to 16.7

4 0
2 years ago
Can someone please help me.
skelet666 [1.2K]
To find the slope of the line, you need two points.
(-2 , 5) and (3 , -5)

5 - (-5) / -2 - 3
10 / -5  = -2

The slope of the line is -2. So your answer is C.
8 0
3 years ago
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