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3 years ago

5

HELP SOMEONE SMART What is the solution of the equation? Step by step.

1 answer:

Tanzania [10]3 years ago

7 0

As with any "solve for" problem, you undo what has been done to the variable, in reverse order.
Subtract 9, divide by 3, take the 5/3 power
.. 3*(a +4)^(3/5) +9 = 36 . . . . . original equation
.. 3*(a +4)^(3/5) = 27
.. (a +4)^(3/5) = 9
.. a +4 = 9^(5/3)
.. a = 9^(5/3) -4 ≈ 34.9407

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The answer and how you got it

mart [117]

The answer is 12
12-(5+3)=4
4+8=12

8 0

4 years ago

Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms

miv72 [106K]

<u>Hint </u><u>:</u><u>-</u>

Break the given sequence into two parts .
Notice the terms at gap of one term beginning from the first term .They are like $\dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ . Next term is obtained by multiplying half to the previous term .
Notice the terms beginning from 2nd term , $4,7,10,13$ . Next term is obtained by adding 3 to the previous term .

<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

$\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ .

We can see that this is in <u>Geometric</u><u> </u><u>Progression </u> where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

$\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]$

Notice the term $\dfrac{1}{2^{25}}$ will be too small , so we can neglect it and take its approximation as 0 .

$\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]$

$\\\implies \boxed{ S_1 \approx 1 }$

$\rule{200}2$

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

$\implies S_2=\dfrac{n}{2}[2a + (n-1)d]$

Substitute ,

$\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}$

Hence sum = 908 + 1 = 909

7 0

3 years ago

What is the simplest form of 4/9×4/5?

madam [21]

Answer:

16/45

Step-by-step explanation:

4/9 x 4/5=16/45 you just multiply straight across

7 0

3 years ago

A pet store currently has a total of 45 cats and dogs. There are 7 more cats than dogs. Find the number of cats and dogs in the

Evgesh-ka [11]

The dog is 19, cat is 26

7 0

3 years ago

PLEASE HEEEELLLLPPP

Anni [7]

Answer:

The answer is 4

Step-by-step explanation:

5 0

4 years ago