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2 years ago

Simplify 36x^4 42x^7

1 answer:

4 0

The first step to simplify this equation is to multiply the numbers
1512 $x^{4}$ × $x^{7}$
next,, youll multiply the terms with the same base by adding their exponents
1512 $x^{4+7}$
finally,, youll add the numbers together
1512 $x^{11}$
since you cant simplify any further,, the correct answer to your question is 1512 $x^{11}$
let me know if you have any further questions
:)

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The 5th term in a geometric sequence is 40. The 7th term is 10. What is (are) the possible value(s) of the 4th term?

Lena [83]

Answer:

possible values of 4th term is 80 & - 80

Step-by-step explanation:

The general term of a geometric series is given by

$a(n)=ar^{n-1}$

Where a(n) is the nth term, r is the common ratio (a term divided by the term before it) and n is the number of term

Given, 5th term is 40, we can write:

$ar^{5-1}=40\\ar^4=40$

Given, 7th term is 10, we can write:

$ar^{7-1}=10\\ar^6=10$

We can solve for a in the first equation as:

$ar^4=40\\a=\frac{40}{r^4}$

Now we can plug this into a of the 2nd equation:

$ar^6=10\\(\frac{40}{r^4})r^6=10\\40r^2=10\\r^2=\frac{10}{40}\\r^2=\frac{1}{4}\\r=+-\sqrt{\frac{1}{4}} \\r=\frac{1}{2},-\frac{1}{2}$

Let's solve for a:

$a=\frac{40}{r^4}\\a=\frac{40}{(\frac{1}{2})^4}\\a=640$

Now, using the general formula of a term, we know that 4th term is:

4th term = ar^3

Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:

$ar^3\\1.(640)(\frac{1}{2})^3=80\\2.(640)(-\frac{1}{2})^3=-80$

possible values of 4th term is 80 & - 80

3 0

3 years ago

What is the lcm of 3,9, and 15?

s344n2d4d5 [400]

The least common multiple that is common in all numbers but is the lowest is 3 and it's the only number that all numbers listed can be divided easily by.

Hope this helps!

3 0

3 years ago

Read 2 more answers

Divide €132 in the ratio 7:4

Anon25 [30]

Answer:92.4

Step-by-step explanation:

4x+7x=132

10x=132

x=132/10

x=13.2

4x=4×13.2

=52.8

5x=7×13.2

=92.4

4 0

3 years ago

X^2-10x = −16 solution??

Maru [420]

X^2-10x+16= 0
(x-8)(x-2)=0
x = 8 or 2

6 0

2 years ago

Read 2 more answers

What are the terms in this expression 3+4x5

irakobra [83]

You have zero terms in that equation. A term is when a number is connected to a variable. You have no variables.
~Silver

5 0

3 years ago