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Dennis_Churaev [7]
3 years ago
11

Simplify. 18−−√ 36√ 23√ 32√ 29√

Mathematics
2 answers:
Vlad [161]3 years ago
7 0

Step-by-step explanation:

√18

√9 x 2

3√2


√36

√6


√23

For √23, Idk...


√32

√4 x 8

2√8

2√4 x 2

2 x 2√2

4√2


√29

For √29, IDK...


I'm really really sorry if I wasn't much of a help..... And I'm sorry if I was incorrect...

tester [92]3 years ago
3 0

Answer:

Option C.

Step-by-step explanation:

The given expression is

\sqrt{18}

We need to find the most simplified form of the given expression.

The given expression can be rewritten as

\sqrt{2\times 3\times 3}

\sqrt{2\times 3^2}

Using the properties of radical expression, we get

\sqrt{2}\times \sqrt{3^2}     [\because \sqrt{mn}=\sqrt{m}\sqrt{n}]

\sqrt{2}\times 3

3\sqrt{2}

Therefore, the correct option  is C.

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One-fourth of a number is 22. Find the number.
ruslelena [56]

Answer:

5.50

Step-by-step explanation:

I am smart

6 0
3 years ago
D’Andra has a dentist appointment in 5 weeks. There are 7 days in a week. How many days are in 5 weeks?
Lisa [10]

Answer:

A. 35

Step-by-step explanation:

Each week has 7 days, and we have 5 weeks.

Week 1 has 7 days.

Week 2 has 7 days.

Week 3 has 7 days.

Week 4 has 7 days.

Week 5 has 7 days.

We can add all these together to get the total number of days: 7 + 7 + 7 + 7 + 7 = 7 * 5 = 35.

Thus, the answer is A.

Hope this helps!

8 0
4 years ago
Read 2 more answers
The simplex method minimizes linear functions by moving between extreme points of a polyhedral region so that each transition de
natali 33 [55]

Answer:

See the pictures attached

Step-by-step explanation:

All the explanation is given in the pictures

7 0
3 years ago
Given the triangle that has a base of five less than triple the height. The height is 2x+6.
Deffense [45]

Answer:

<h3>          A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>

Step-by-step explanation:

H = 2x+6          - the hight

3H = 3(2x+6)      - triple the hight

3H-5 = 3(2x+6) - 5    -  five less than triple the height

Area of triangle:  A = 0.5BH

B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13

H = 2x+6

So:

    A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78

    A = 6x² + 49x + 78

5 0
3 years ago
A financial talk show host claims to have a 55.3 % success rate in his investment recommendations. You collect some data over th
baherus [9]

Answer:

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

Step-by-step explanation:

For each recommendation, there are only two possible outcomes. Either it was a success, or it was a failure. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

p = 0.553, n = 10

If the claim is correct and the performance of recommendations is independent, what is the probability that you would have observed 4 or fewer successful:

This is

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.553)^{0}.(0.447)^{10} = 0.0003

P(X = 1) = C_{10,1}.(0.553)^{1}.(0.447)^{9} = 0.0039

P(X = 2) = C_{10,2}.(0.553)^{2}.(0.447)^{8} = 0.0219

P(X = 3) = C_{10,3}.(0.553)^{3}.(0.447)^{7} = 0.0724

P(X = 4) = C_{10,4}.(0.553)^{4}.(0.447)^{6} = 0.1567

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0003 + 0.0039 + 0.0219 + 0.0724 + 0.1567 = 0.2552

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

3 0
3 years ago
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