All categories

3 years ago

What is 3√20 - 3√45 + 5√12 in simplest radical form? Show all work.

Mathematics

1 answer:

lesya692 [45]3 years ago

8 0

Answer: -3√5 + 10√3

Step 1: Find the prime factorization of the number inside the radical.

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.

Step 4: Simplify the expressions both inside and outside the radical by multiplying.

You might be interested in

Which equation represents exponential decay?

MAVERICK [17]

Y=(1/5)^x would be the only equation demonstrating decay of these

6 0

3 years ago

Two-dimensional objects are measured

balandron [24]

It’s either length or area.

6 0

2 years ago

A mega-discount chain store just opened a new clothing store in town emphasizing mainly women's clothing. Before opening, man

Georgia [21]

Answer:

a) Cluster sampling

Step-by-step explanation:

Since here the population is divided into many groups (cluster) and one of these groups is taken as a sample. This type of sampling is called Cluster Sampling.

Further,

In Cluster Sampling the population is distributed into a distinct group called cluster and clusters are chosen as a sample then it is Cluster Sampling.

Multistage Sampling is a complex form of Cluster Sampling. In this sampling population is divided into a different group then one or more groups are randomly selected then again that selected group is divided into a different small group and again one or more these small groups are randomly selected as sample. This process is done many times.

If the sampling is done by any criteria then this type of sampling method is called Systematic Sampling. Like observer is taken every 5th unit as a sample.

If the whole population is divided into many groups(strata) such that between the group units are heterogeneous and within the group units are homogeneous then units are randomly selected from these groups. This type of sampling is called Stratified Sampling.

7 0

2 years ago

an owner of a small store knows that in the last week 54 customers paid cash, 42 paid with debit card, and 153 paid with credit

saveliy_v [14]

The correct answer for the question that is being presented above is this one: :"18/83." First we need to know the total number of customers, so we should add 54+42+153, which equals 249. Now we know that last week, 54 out of 249 total customers paid with cash. As a fraction, 54/249 reduces to 18/83.

6 0

2 years ago

Someone please help me on this question ?:)

Simora [160]

Answer:

x=-121

Step-by-step explanation:

.4(5+2x) -12 = .9x+2.1

Distribute the .4

2 + .8x -12 = .9x+2.1

Combine like terms

-10 +.8x = .9x +2.1

Subtract .8x from each side

-10 +.8x-.8x = .9x-.8x +2.1

-10 = .1x +2.1

Subtract 2.1 from each side

-10-2.1 = .1x +2.1-2.1

-12.1 = .1x

Divide by .1

-12.1/.1 = 1.x/.1

-121 =x

6 0

2 years ago