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3 years ago

30x297 in distributive property

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

4 0

Answer:

8910

Step-by-step explanation:

30x297 = 8910

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Solve this equation for x. Round your answer to the nearest hundredth. 7 = In(x + 5)

oksian1 [2.3K]

Answer:

x ≈ 1091.63

Step-by-step explanation:

Using the rule of logarithms

$log_{b}$ x = n ⇔ x = $b^{n}$

note that ln x is to the base e

Given

ln(x + 5) = 7, then

x + 5 = $e^{7}$ ( subtract 5 from both sides )

x = $e^{7}$ - 5 ≈ 1091.63 ( nearest hundredth )

3 0

3 years ago

A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence

belka [17]

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

$\mathbf{n = 5}$ --- the number of digits

$\mathbf{r = 3}$ ---- the number of actions

Each of the three actions can either be:

Pressing one button
Pressing a pair of buttons

The number of ways of pressing a button is:

$\mathbf{n_1 = ^5C_1}$

Apply combination formula

$\mathbf{n_1 = \frac{5!}{(5-1)!1!}}$

$\mathbf{n_1 = \frac{5!}{4!1!}}$

$\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}$

$\mathbf{n_1 = 5}$

The number of ways of pressing a pair is:

$\mathbf{n_2 = ^5C_2}$

Apply combination formula

$\mathbf{n_2 = \frac{5!}{(5-2)!2!}}$

$\mathbf{n_2 = \frac{5!}{3!2!}}$

$\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}$

$\mathbf{n_2 = 10}$

So, the number of ways of performing one action is:

$\mathbf{n =n_1 + n_2}$

$\mathbf{n =5 + 10}$

$\mathbf{n =15}$

For the three actions, the number of ways is:

$\mathbf{Action = n^3}$

$\mathbf{Action = 15^3}$

$\mathbf{Action = 3375}$

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

brainly.com/question/4546043

4 0

3 years ago

GIVING BRAINLIEST !!!!!!

solniwko [45]

Answer:

Step-by-step explanation:

If we assume that the population of the town is proportional to the random people selected to take the survey, then we can say that the answer is A, People at least 50 years old are the largest age group in town. Since the survey is random and the percentage of the 50-year old population group is higher when individually compared to the other groups, we can assume that the town's population consists of a high number of people who are 50-years old or older.

And although it is not a given answer choice, it would actually make more sense to say that out of the number of people that took the survey, those who were 50 years old or older consisted of the largest age group.

3 0

3 years ago

I know this easy but what is 8 times 8

Contact [7]

8 times 8 would be 64. :)

8 0

3 years ago

Read 2 more answers

Math help please will mark brainliest

balu736 [363]

Answer:

you got there answer correct

Step-by-step explanation:

the lines all follow the answer

4 0

3 years ago