All categories

3 years ago

Factor the following expression using the greatest common factor 18a+24c

Mathematics

2 answers:

poizon [28]3 years ago

5 0

Answer:

6(3a+4c)

Step-by-step explanation:

GCF = 6

18a/6+24c/6

= 6(3a+4c)

Papessa [141]3 years ago

4 0

Step-by-step explanation:

divide each by six

3a+4c

You might be interested in

Find the standard deviation of the following set of data (1.2, 2.3, 5.2, 6.6, 4.8)

Vesna [10]

Answer:

<u>The correct answer s B. 2.21</u>

Step-by-step explanation:

There are three steps to calculate the standard deviation of the set of data given.

n = 5 (5 numbers in the set)

1. Calculate the mean, this way:

(1.2 + 2.3 + 5.2 + 6.6 + 4.8)/5 = 20.1/5 = 4.02

μ = 4.02

2. Calculate the variance, this way:

Sum of the squared difference between each number of the set and the mean divided by the number of elements of the sample minus one.

[(1.2 - 4.02)² + (2.3 - 4.02)² + (5.2 - 4.02)² + (6.6 - 4.02)² + (4.8 - 4.02)²]/4 =

19.568/4 = 4.892

σ² = 4.892

3. Finally, the standard deviation. this way:

Standard deviation is the square root of the variance.

σ² = 4.892

√σ² = √4.892

σ = 2.21

<u>The correct answer s B. 2.21</u>

8 0

3 years ago

Find the oth term of the geometric sequence 7, 14, 28, ...

yaroslaw [1]

Answer:

The nth term of the geometric sequence 7, 14, 28, ... is:

$a_n=7\cdot \:2^{n-1}$

Step-by-step explanation:

Given the geometric sequence

7, 14, 28, ...

We know that a geometric sequence has a constant ratio 'r' and is defined by

$a_n=a_1\cdot r^{n-1}$

where a₁ is the first term and r is the common ratio

Computing the ratios of all the adjacent terms

$\frac{14}{7}=2,\:\quad \frac{28}{14}=2$

The ratio of all the adjacent terms is the same and equal to

$r=2$

now substituting r = 2 and a₁ = 7 in the nth term

$a_n=a_1\cdot r^{n-1}$

$a_n=7\cdot \:2^{n-1}$

Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:

$a_n=7\cdot \:2^{n-1}$

6 0

3 years ago

The answer to Number 11 pls help i am stuck on this problem

baherus [9]

Answer:

your answer should be 40

Step-by-step explanation:

plz tell me if im wrong :)

4 0

3 years ago

In a family of four children, what is the probability of 2 boys and 2 girls?

dangina [55]

Every time you have a kid, (for this example lets say its a boy) the chance of getting that gender again is shrunk by 33.3% and the probability of the other gender goes up by 33.3%

5 0

4 years ago

Line segment AB has endpoints A(1,8) and B(7,−4). What are the coordinates of the point located 5/6 of the way from A to B?

const2013 [10]

The coordinate of the point is (6,-2)

<h3>How to determine the coordinate of the point?</h3>

The given parameters are:

A = (1,8)

B = (7,-4)

The location of the point (i.e 5/6) means that the ratio is:

m :n = 5 : (6 - 5)

m : n = 5 : 1

The coordinate of the point is then calculated as:

$(x,y) = \frac{1}{m + n}* (mx_2 + nx_1,my_2 + ny_1)$

So, we have:

$(x,y) = \frac{1}{5 + 1}* (5 * 7 + 1 * 1 , 5 * -4 + 1 * 8)$

Evaluate

$(x,y) = \frac{1}{6}* (36 , -12)$

Evaluate the product

(x,y) = (6,-2)

Hence, the coordinate of the point is (6,-2)

Read more abut line segment ratio at:

brainly.com/question/12959377

#SPJ1

6 0

2 years ago