All categories

2 years ago

PLEASE HELP WITH THIS

Mathematics

2 answers:

ArbitrLikvidat [17]2 years ago

8 0

Answer:

Step-by-step explanation:

The question can be written is

5^x = 75

Now take the log of both sides.

log(5x) = log(75) Bring the x outside the brackets

x log(5) = log(75) Divide by log 5

x = log(75)/log(5)

log 75 = 1.8751

log 5 = .8990

x = 1.8751/.8990 = 2.6826

marusya05 [52]2 years ago

7 0

Answer:

(b) 2.68

Step-by-step explanation:

Your question has a link to a suitable calculator. All you need to do is make use of it. It tells you log₅(75) ≈ 2.68.

Other ways to look at the problem

If you recall that a logarithm represents an exponent of the base, you can ask yourself, what power 5 must be raised to in order to get 75. You know that 5^2 = 25, and 5^3 = 125, so the power will have to be between 2 and 3. There is only one answer choice in that range: 2.68.

The rules of logarithms let you rewrite the given expression as ...

log₅(75) = log₅(3×5²) = log₅(3) +2·log₅(5) = log₅(3) +2

The log₅ of any number between 1 and 5 will be a positive fraction, so this sum must be between 2 and 3.

You might be interested in

If there is a 10% chance of sun tomorrow and a 20% chance of wind and no sun, what is the probability that it is windy, given th

professor190 [17]

Since there are two events happening simultaneously (windy and no sun), we can apply the concept of conditional probability here. P(A|B) = P(A∩B)/P(B) where it means that given B is happening, the probability that A is happening as well is the ratio of the chance for A and B to happen simultaneously over the chance of B to happen. For our case, this can be interpreted as P(A|B): it is the probability that it is windy (A) GIVEN that there is no sun (B) P(A∩B) : chance of wind and no sun P(B) : chance that there is no sun tomorrow The chance of P(A∩B) is already given as 20% or 0.20. Since there is 10% or 0.10 chance of sun, then chances of having no sun tomorrow is (1-0.10) = 0.90. Thus, we have P(A|B) = 0.2/0.9 ≈ 0.22 or 22%. So, answer is B: 22%.

5 0

3 years ago

Read 2 more answers

Yuri purchased 8 trees to have planted at his house. The store charged a delivery fee of $5 per tree.

satela [25.4K]

16 dollars each because you do 8x5 which equals 40 and do 168-40 which equals 128 / 8 equals 16

8 0

3 years ago

Read 2 more answers

Choose all options that apply. Which of the following are equal to 20%? | a) .25 b) 1/5 Oc) 1/10 d) .20

zloy xaker [14]

Answer:

b. and d.

Step-by-step explanation:

$20 = \frac{20}{100} \\ 0.25 = \frac{25}{100} \\ \frac{1}{5} = \frac{20}{100} \\ \frac{1}{10} = \frac{10}{100} \\ 0.20 = \frac{20}{100}$

4 0

2 years ago

What is the mean absolute deviation?

Lostsunrise [7]

Answer:

0.8 cm

Step-by-step explanation:

The formula for MAD is attached in the picture.

x_i are the values (data)

x bar is the mean

n is the number of numbers (data)

For figuring out MAD, basically, we subtract the mean from each of the values respectively and take the absolute value and SUM for all of the numbers in the data set. Then we divide by n, the number of numbers.

Let's do this:

MAD = $\frac{|2-3|+|2-3|+|2-3|+|2-3|+|3-3|+|3-3|+|3-3|+|4-3|+|4-3|+|5-3|}{10}\\=\frac{1+1+1+1+0+0+0+1+1+2}{10}\\=\frac{8}{10}=0.8$

MAD is 0.8

6 0

3 years ago

Heather bought a CD on sale for $11 and a book that cost $14 the sales tax rate is 5% how much tax did Heather pay for both item

Travka [436]

Add 11 and 14 = 25. Then change 5% to a decimal or .05. 25 x .05= $1.25 this is the tax. Add $25 to $1.25. Answer is $26.25

3 0

3 years ago