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ohaa [14]
3 years ago
9

If a vector's magnitude is 36 units right and 33 units up, what's the approximate magnitude of a vector that's one-third the len

gth of the first vector? A. 48.8 B. 16.3 C. 12.2 D. 24.4
Mathematics
1 answer:
omeli [17]3 years ago
5 0

Answer:

The correct option is B. 16.3

Step-by-step explanation:

We are given a vector with components

V = 36x +33y

To solve this problem, we find its magnitude

|V| = SQRT (36^2 + 33^2)

|V| = SQRT (2385)

|V| = 48.836

To find the magnitude of the new vector we divide by three the previous quantity

|V2| = 48.836/3 = 16.278

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denpristay [2]

Answer:

it would be 72cm

Step-by-step explanation:

7 0
3 years ago
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Find the domain and range of a function defined by a graph
Ede4ka [16]

Answer:  domain (-2, 3]  range [-2, 2)

These are the x-values left to right the paretheses ( ) indicates "not equal to" a bracket [ ]

Step-by-step explanation:  Domains are the x-values left to right the parentheses ( ) indicates "not equal to" like the open circle on the graph;  a bracket [ ] means "and equal to" like the solid circke on the graphed line.

Range means the y-values, bottom to top (least to greatest in math lingo)

7 0
3 years ago
Solve for x. Round to the nearest tenth, if necessary....pleaseeeee help me with this lol.
insens350 [35]

Based on the information given, it has been calculated that they value of x will be 0.9646.

<h3>Solving triangles</h3>

Based on the information given, it should be noted that the sine formula will be used.

Therefore, the equation to solve the question will be:

Sin 16° = x/3.5

x = Sin 16° × 3.5

x = 0.2756 × 3.5

x = 0.9646

Learn more about triangles on:

brainly.com/question/17335144

7 0
3 years ago
Which technique for gathering data (observational study or experiment) do you think was used in the following studies? Explain y
Stells [14]

Answer:

a. 4)

b. 4)

Step-by-step explanation:

Hello!

An observational study is one where the investigator has no control or intervenes on it. He just defines the variable of interest and merely collects and documents the information.

An experimental study or experiment is one where the investigator intervenes by defining the variable of interest and artificially manipulates the study factor. It also one of its characteristics the randomization of cases or subjects in groups (two or more, depending on what is the hypothesis of study).

(a) The U.S. Census Bureau tracks population age. In 1900, the percentage of the population that was 19 years old or younger was 44.4%. In 1930, the percentage was 38.8%; in 1970, the percentage was 37.9%; and in 2000, the percentage in the age group was down to 28.5% (The First Measured Century, T. Caplow, L. Hicks, B. J. Wattenberg).

  1. This is an experiment because treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured.
  2. This is an observational study because treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured.
  3. This is an experiment because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured.
  4. This is an observational study because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured.

In this item, the researcher merely obtained the records of the population that were 19 or younger over several years and compared the obtained percentages. This is a clear example of an observational study, the researcher did not manipulate any factor or variable, he just looked up the information and documented it.

(b) After receiving the same lessons, a class of 100 students was randomly divided into two groups of 50 each. One group was given a multiple-choice exam covering the material in the lessons. The other group was given an essay exam. The average test scores for the two groups were then compared.

  1. This is an experiment because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured.
  2. This is an observational study because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured.
  3. This is an observational study because treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured.
  4. This is an experiment because treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured.

In this item, the students were randomly assigned to one of two groups and each group was given a test, group one: multiple choice and group two: essay. This is an example of an experimental study, after the class, the researcher controlled the variable "type of test" giving one type to each group and the subjects were randomly selected fro the groups assuring that they will not receive biased results. And at the end of the experiment, the response variables "test scores" where compared.

I hope it helps!

8 0
4 years ago
)What is the solution to the equation 7z = 56? 65 47 8 6.22
Oksi-84 [34.3K]
"Z" would equal 8. 7 X 8 = 56
8 0
4 years ago
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