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Combine the radicals. 2√24+5√54 A) 53√6 B) 5√6 C) 19√6 D) 93√6

love history [14]

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

2√24 + 5√54

To combine the radicals first make sure the radicals have the same square root

That's

<h3> $2 \sqrt{24} = 2 \sqrt{4 \times 6} = 2 \times 2 \sqrt{6}$ </h3><h3> $= 4 \sqrt{6}$ </h3><h3 /><h3><u>For 9√54</u></h3>

<h3> $5 \sqrt{54} = 5 \sqrt{9 \times 6} = 5 \times \sqrt{9} \times \sqrt{6}$ </h3><h3> $= 5 \times 3 \times \sqrt{6}$ </h3><h3> $= 15 \sqrt{6}$ </h3><h3 />

Since they have the same square root we can combine them

That's

We have the final answer as

Hope this helps you

3 0

4 years ago

There are 53 kids who are dividing themselves into two teams for a dodgeball game. Which of the following, best describes how ma

Vika [28.1K]

There will be 26 kid on each team, with one extra kid. So 27, 26

3 0

3 years ago

QUESTION 2 Brewsky's is a chain of micro-breweries. Managers are interested in the costs of the stores and believe that the cost

Sever21 [200]

Answer:

b is the amount by which the costs of the stores (i.e. y) will increase whenever the number of customers patronizing the stores (i.e. x) increases by one.

Step-by-step explanation:

How is the letter b best described?

b is the amount by which the costs of the stores (i.e. y) will increase whenever the number of customers patronizing the stores (i.e. x) increases by one.

That is, b is the coefficient of letter x and it indicates that whenever there is a one unit increase in the number of customers patronizing the stores (i.e. x), the costs of the stores (i.e. y) will increase by $2.08.

To give an example, the regression equation in the question is expressed as:

y = a + bx ............................ (1)

Where;

y = the costs of the stores = ?

a = Intercept = $1,496

b = coefficient = $2.08

x = the number of customers patronizing the stores = ?

Assume x = 1, we can predict y by substituting the values to obtain y1 as follows:

y1 = $1,496 + ($2.08 * 1) = $1,496 + $2.08 = $1,498.08

Now, assume x increases by 1 to 2 i.e. x = 2, we can predict y by substituting the values to obtain y2 as follows:

y2 = $1,496 + ($2.08 * 2) = $1,496 + $4.16 = $1,500.16

The the change is y as a result of one unit increase in x from 1 to 2 can then be obtained as follow:

Change in y = y2 - y1 = $1,500.16 - $1,498.08 = $2.08.

This therefore cofirms that b indicates that whenever there is a one unit increase in the number of customers patronizing the stores (i.e. x), the costs of the stores (i.e. y) will increase by $2.08.

7 0

3 years ago

An aircraft flies at an average speed of 600 miles per hour. The expression 600t gives the distance traveled by the aircraft in

k0ka [10]

So, we know that the speed of the aircraft is 600 miles /per hour/. The question is, how many miles does it travel over 6 hours?

Since “per hour” means it travels that far in 1 hour, we need to take that speed (600mph) and multiply it by 6, since we were asked about the distance in 6 hours.

So:

600*6=3600

And we get a total of 3600 miles travelled in 6 hours, as opposed to 600 miles in 1 hour.

5 0

3 years ago

5. Write down the nth term of each of the following G.Ps

yawa3891 [41]

Answer:

1i) nth term = 12(-b/4)^(n-1)

ii) nth term = 3(-1/9)^(n-1)

2i) Sixth term= (-3b^5)/256

ii) Eight term = -1/1594323

Question:

The complete question as found on brainly (question-10746111):

Write down the nth term of each of the following G.Ps whose first two terms are given as follows. Also find the term stated besides each G.P.

i) 12,-3b,......sixth term

ii) 3,-1/3,..........;8th term?

Step-by-step explanation:

1) To solve terms involving Geometric progressions (GPs), we would first state the variables that are to be incorporated in the formula.

i) 12,-3b,......;sixth term

1st term = a= 12

r = common ratio = 2nd term /1st term

r = -3b/12 = -b/4

Then we would find the nth term

See attachment for details

ii) 3,-1/3,..........;8th term

1st term = a= 3

r = common ratio = 2nd term /1st term

r = (-⅓)/3 = (-⅓)(⅓) = -1/9

Then we would find the nth term

See attachment for details

2) we are to determine the sixth term in (i) and eight term in (ii)

See attachment for details

Sixth term= (-3b^5)/256

Eight term = -1/1594323

7 0

3 years ago