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Fudgin [204]
2 years ago
5

Find the nth term of the sequence 4, 7, 10, 13, …

Mathematics
1 answer:
Leviafan [203]2 years ago
8 0

Answer:

3n+1

Step-by-step explanation:

Subtract one from all the values, you get multiples of 3 in the equation 3n=nth term

So when you add one back, your equation is 3n+1=nth term

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Here is a sphere with radius 4 feet.What is the volume of the sphere? Express your answer in terms of pi
Allushta [10]

Answer:

volume of sphere=4/3 π4³=256/3π ft²

6 0
3 years ago
3&lt;3x+6&lt;24<br><br>i keep getting 1 &lt; x &lt; 6<br>but the answer says -1 &lt; x &lt; 6
lara [203]
3 < 3x+6
-3<3x
-1<x

3x+6<24
3x<18
x<6

-1<x<6 the book is right

6 0
3 years ago
Rewrite the equation x = 65 - 60p by factoring the side that contains the variable p.
grigory [225]

Answer: x=5(13-12p)


Step-by-step explanation:

Given equation: x=65-60p

\\\Rightarrowx=(5\times13)-(5\times12)p

Since 5 is the greatest common factor of 65 and 60 in the given expression.

Therefore, the above expression can be written as

x=5(13-12p)

Hence, by factoring the side that contains the variable p we have the expression x=5(13-12p).




7 0
3 years ago
Solve the inequality for x. Show each step of the solution. 10x&gt;8(3x-2)-12
Anettt [7]

Answer:

x < 2

Step-by-step explanation:

Given

10x > 8(3x - 2) - 12 ← distribute parenthesis on right side

10x > 24x - 16 - 12, that is

10x > 24x - 28 ( subtract 24x from both sides )

- 14x > - 28

Divide both sides by - 14, reversing the inequality symbol as a result of dividing by a negative quantity.

x < 2

8 0
3 years ago
Find the length of the arc (AB) Leave your answer in terms of Pi
butalik [34]
The formula is L = 2 pi r * (angle measure / 360). We have everything we need to solve this, the angle is 90 and the radius is 12: L = 2 pi (12) (90/360). Do the work inside the parenthesis first to get : L = 2 pi (12)(.25). Solving for L: L = 6pi
4 0
3 years ago
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