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3 years ago

How do you solve 27?

Mathematics

2 answers:

dedylja [7]3 years ago

8 0

We have

$\left(\dfrac{2}{3}\right)^x=\dfrac{2^x}{3^x}$

And we want

$\dfrac{2^x}{3^x}=\dfrac{16}{81}=\dfrac{2^4}{3^4}$

Another way to read it is

$\dfrac{16}{81}=\left(\dfrac{2}{3}\right)^4=\left(\dfrac{2}{3}\right)^x$

It should be clear that the solution is $x=4$

RSB [31]3 years ago

5 0

Answer:

16 / 81 = 0.1975308642

2 / 3 = .6666666666666

.6666666666666^x = 0.1975308642

Taking logs of both sides:

x * log (.6666666666) = log (0.1975308642)

x = log (0.1975308642) / log (.6666666666)

x = -0.7043650362 / -0.1760912591

x = 4

Step-by-step explanation:

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Solve for x.

Leto [7]

Answer:

x < 4

Step-by-step explanation:

Step 1: Subtract 10 from both sides.

$-8x + 10 - 10 > -22 - 10$
$-8x > -32$

Step 2: Divide both sides by -8 and flip the inequality sign.

$\frac{-8x}{-8} > \frac{-32}{-8}$
$x < 4$

Therefore, the answer is x < 4.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

3 0

2 years ago

What breaks 40 into 5 equal pieces? a) 1/2 b) 2/10 c) 2% d)20%

natka813 [3]

Answer:

Step-by-step explanation:

20 percent of 40 is 5

so 20 is d answer

7 0

2 years ago

Can someone explain how to do this please?

Rufina [12.5K]

for the columns where is less than or equal zero, use the first line of the function to calculate the value of f(x)

${ ( \frac{1}{3} ) }^{ - 2} - 1 = 9 - 1 = 8 \\ { ( \frac{1}{3} ) }^{ - 1} - 1 = 3 - 1 = 2 \\ { ( \frac{1}{3} ) }^{ 0} - 1 = 1 - 1 = 0$

for every x greater than zero, use the second line to determine the value

${3}^{1} - 2 = 3 - 2 = 1 \\ {3}^{2} - 2 = 9 - 2 = 7$

hope this helps and gives some insight what to do.

if there are open questions left, feel free to ask them in the comments

have a beautiful day

-Alex

3 0

3 years ago

On awall of dimension10.5m long and 8.5 m wide, a square shaped wall posture is stuck at the centre whose one side measures2.5m.

tangare [24]

Answer:

₹996

Step-by-step explanation:

Area painted = area of wall - area of wall posture

Area of a rectangle = length x breadth

= 10.5m x 8.5m = 89.25m^2

Area of a square

length x length

2.5m x 2.5m = 6.25m^2

Area painted = 89.25m^2 - 6.25m^2 = 83m^2

Total cost of area painted = 83m^2 x 12 = 996

4 0

2 years ago

Evaluate x^2+5 when x equals 3

earnstyle [38]

Answer:

Step-by-step explanation:

7 0

3 years ago