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Ivahew [28]
2 years ago
12

Find the rule for the sequence: 5/2, 17/2, 37/2, ....

Mathematics
1 answer:
zmey [24]2 years ago
8 0

Answer:

65/2

Step-by-step explanation:

5 + 12 is 17, and 17 + 20 is 37. This means that the e change of the change is going up by 8 each time. So, the next change should be 37+28, which is 65. The answer therefore is 65/2

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Write an equation to represent the following: Three consecutive integers add up to 11 more than the smallest.
mr Goodwill [35]

Answer:


Step-by-step explanation:

First we have to assume the smallest integer.

Let,

the smallest integer is  x

So, the other two integers are-

x+1  and   x+2

Now,  

the sum of these 3 integers is greater than smallest integer by  11

So, we get

x+(x+1)+(x+2) =x+11

This is the required equation.

5 0
3 years ago
Use the distributive property to simplify the expression.<br> 4 (1/4a + b - 6)
nadya68 [22]

Answer:

a+4b-24

Step-by-step explanation:

4 0
2 years ago
A particular computer takes 12 minutes to download a 36 minute TV show. how long will it take the computer to download a 1.5 hr
sladkih [1.3K]
Let x = movie download time
\frac{12}{36}  =  \frac{x}{90}
36x = 1080
x = 30
30 minutes
5 0
2 years ago
What is the area of the circle whose equation is (x − 9)2 + (y − 3)2 = 64?
aalyn [17]
(x-xo)²+(y-yo)²=r²
(x-9)²+(y-3)²=64
r²=64
Area of a circle=πr²=3.14×64=200.96
7 0
2 years ago
Tan x + sqrt(3) = - 2 tan x
Svet_ta [14]

9514 1404 393

Answer:

  nπ -π/6 . . . for any integer n

Step-by-step explanation:

  tan(x) +√3 = -2tan(x) . . . . . given

  3tan(x) = -√3 . . . . . . . . . . . add 2tan(x)-√3

  tan(x) = -√3/3 . . . . . . . . . . divide by 3

  x = arctan(-√3/3) = -π/6 . . . . use the inverse tangent function to find x

This is the value in the range (-π/2, π/2). The tangent function repeats with period π, so the set of values of x that will satisfy this equation is ...

  x = n·π -π/6 . . . . for any integer n

8 0
2 years ago
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