All categories

3 years ago

3^(x−1) = 27 please and thank you in advance

Mathematics

2 answers:

Nezavi [6.7K]3 years ago

7 0

Answer: x=10

Step-by-step explanation:

Basically you will first have to 3^(x-1). It's just x-1 but repeated 3 times:

x-1+x-1+x-1=27 now, combine like terms:

x+x+x-1-1-1=27 ---> 3x-3=27 Get 3x by itself by adding 3 to -3 and 27:

3x-3+3=27+3

3x=30 Now Divide.

3x/3=30/3

x=10

notka56 [123]3 years ago

3 0

Answer: $x = 4$

Step-by-step explanation:

Given :

$3^{x-1} = 27$

27 can also be written in index form , so the equation becomes

$3^{x-1} = 3^{3}$

since they have the same base , we will equate their power , that is

$x - 1 = 3$

$x = 4$

You might be interested in

What is the value of the expression?

Morgarella [4.7K]

13.23 is the answer for that equation

8 0

3 years ago

Read 2 more answers

The Fibonacci sequence is defined by $F_1 = F_2 = 1$ and $F_{n + 2} = F_{n + 1} + F_n$. Find the remainder when $F_{1999}$ is di

zavuch27 [327]

Answer:

The remainder is 1

Step-by-step explanation:

Given the Fibonacci sequence

F_1 = F_2 = 1, and

F_(n + 2) = F_(n + 1) + F_n

We want to find the remainder when F_(1999) is divided by 5.

Let us write the first 20 numbers of the sequence in (mod 5). They are

F_1 = 1,

F_2 = 1,

F_3 = 2,

F_4 = 3,

F_5 = 5 = 0 (mod 5),

F_6 = 3,

F_7 = 3,

F_8 = 1

F_(9) = 4

F_(10) = 0

F_(11) = 4

F_(12) = 4

F_(13) = 3

F_(14) = 2

F_(15) = 0

F_(16) = 2

F_(17) = 2

F_(18) = 4

F_(19) = 1

F_(20) = 0

We have: 1, 1, 2, 3, 0, 3, 3, 1, 4, 0, 4, 4, 3, 2, 0, 2, 2, 4, 1, 0

Now, 1999 = 19(mod 20)

The 19th number in the sequence is 1.

So, the remainder is 1.

6 0

3 years ago

Please help. Thank you.

Marysya12 [62]

The answer would be 24pi inches.

You can find this by using the formula for a circumference and plugging in the value of the radius.

C = 2pi*r

C = 2pi * 12

C = 24pi

4 0

3 years ago

Can someone help me with these please

Savatey [412]

Answer:

the answer is cubes curve

4 0

3 years ago

Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is 13.4 years with a s

Aliun [14]

Answer : 0.0129

Step-by-step explanation:

Given : Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is $\mu=13.4$ years and standard deviation is $\sigma=1.7$ years.

Sample size : $n=40$

Let X be the random variable that represents the age of fleets.

We assume that the ages of the fleets of the 10 largest U.S. commercial passenger carriers are normally distributed.

For z-score,

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

For x=14

$z=\dfrac{14-13.4}{\dfrac{1.7}{\sqrt{40}}}\approx2.23$

By using the standard normal distribution table , the probability that the average age of these 40 airplanes is at least 14 years old will be :-

$P(x\geq 14)=P(z\geq2.23)\\\\=1-P(z$

Hence, the required probability = 0.0129

6 0

3 years ago