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Fed [463]
3 years ago
9

What sequence is geometric and has 1/4 as it's fifth term and 1/2 as the common ratio?

Mathematics
1 answer:
iogann1982 [59]3 years ago
3 0
Use
a(i)=a1*r^(i-1)
we know that a(5)=a1*(1/2)^(5-1)=a1/16 = 1/4
solve for a1=(1/4)*16=4
=>
sequence: 
4,2,1,1/2,1/4,1/8,1/16,...
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PLEASE HELP WILL GIVE POINTS
Alexxx [7]

The rate of change is meaning the slope. The slope of A is 8, therefore, the answer would be 7.

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3 years ago
Emma has a gift box in the shape of a cube. Each side of the box measures 9 centimeters. What is the volume of the gift box?
BARSIC [14]

Answer:

729

Step-by-step explanation:

Each side of the cube measures 9cm

The volume of a cube is V^3

Therefore the volume can be calculated as follows

= 9^3

= 729

Hence the volume is 729

3 0
2 years ago
If there are 16 cups in one gallon, how many cups are there in 3 gallons? How many cups are in 5 gallons? Total points with expl
Zigmanuir [339]
If there are 16 cups in one gallon, each gallon u add 16. If you have 3 gallons you add 16 3 times. So to get your answer you multiply 16 by three which is 48 cups.
6 0
3 years ago
Read 2 more answers
How would I solve this Rational Equation? <br><br>Solve for all values of x.
Nesterboy [21]

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

I like to put these in the form f(x) = 0. We can do that by subtracting the right side. Common factors can be cancelled from numerator and denominator, provided they are not zero.

  \dfrac{7}{x+3}+\dfrac{3}{x-3}-\dfrac{x}{x-3}=0\\\\ \dfrac{7(x-3)+(x+3)(3-x)}{(x+3)(x-3)}=0\\\\\dfrac{(x-3)(4-x)}{(x-3)(x+3)}=0\\\\ \dfrac{4-x}{x+3}=0\qquad x\ne3\\\\x=4 \qquad\text{equate the numerator to zero, add $x$}

_____

If you leave the numerator as (x-3)(4-x), then there are two values of x that make it zero. Because x=3 makes the equation "undefined", it cannot be considered to be a solution.

4 0
3 years ago
6 * ( 12 - 7.5 ) - 7
Paladinen [302]

Answer: 20

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* just means multiply.. sooo the problem looks like this:

6x(12-7.5)-7

We’ll start at the parentheses :)

So (12-7.5) = 4.5

Now our problem looks like: 6x(4.5)-7

Following PEMDAS, the next thing to come up is multiplication! So we’re going to multiply 6 by 4.5 ...

6x4.5=27

After this our problem looks like: 27-7

So now it’s just simple math...

27-7= 20

5 0
3 years ago
Read 2 more answers
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