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saveliy_v [14]
3 years ago
14

27 x 9^3x can be written in the form 3^k where k is an expression in terms of x. Find k

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
8 0

Answer:

27 x 9^3x = 3^3 x 9^3x = 3^3 x (3^3)^3x = 3^3 x 3^9x = 3 ^3+9x

3^3+9x = 3k

ln(3^3+9x) = ln(3^k)

3+9x(ln3)=k(ln(3))

k= 3(1+3x)/ln(3)

Step-by-step explanation:

ln(x^n) = n(ln(x))

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pshichka [43]

Answer:

x = 13/3

Step-by-step explanation:

4(8x-3) - 30x = 5(x-5)

Distribute

32x - 12 - 30x  = 5x -25

Combine like terms

2x -12 = 5x-25

Subtract 2x from each side

2x-12-2x = 5x-2x -25

-12 = 3x-25

Add 25 to each side

-12+25 = 3x-25+25

13 = 3x

Divide each side by 3

13/3 = x

4 0
4 years ago
Read 2 more answers
17.
777dan777 [17]

Answer:

$12.5

Step-by-step explanation:

Since prize is split equally.

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7 0
4 years ago
The formula that describes an object's motion is given by S=ut+1/2at^2 , where S is the distance traveled, u is the initial velo
RSB [31]
S = ut + (1/2)a(t²)                            Subtract ut from both sides
(1/2)a(t²) = S - ut                            Multiply both sides by 2
a(t²) = 2s - 2ut                                Divide both sides by t²
a= 2s/t² - 2u/t

a= (2S - 2ut)/t²

Answer is C) but there should be parentheses around the term (2S-2ut)
5 0
3 years ago
Emma uses turquoise beads to make bracelets to sell at an event. The total amount Emma earns, y, is proportional to the number
NNADVOKAT [17]
<h3>The equation represents the total amount Emma earns at the  event is y = 10x</h3>

<em><u>Solution:</u></em>

Given that,

<em><u>The total amount Emma earns, y, is proportional to the number  of bracelets, x, she sells</u></em>

y \propto x\\\\y = kx -------- eqn\ 1

Where,

y is the total amount Emma earns

x is the number of bracelets

k is the cost of each bracelet

<em><u>Emma earns $10 for each sold bracelet</u></em>

Therefore, k = 10

Thus, eqn 1 becomes,

<h3>y = 10x</h3>

Thus the equation represents the total amount Emma earns at the  event is found

3 0
3 years ago
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