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quester [9]
2 years ago
14

Select the correct answer.

Mathematics
1 answer:
Tasya [4]2 years ago
3 0
A a certicle coalition
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Define the word expression to me. Use proper English and complete sentences.
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yes

Step-by-step explanation:

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Carbon has a half life of 5730 years. How much carbon would be left after 3 half life's with 56 grams
Maslowich

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how much was originally?

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I need help with Evaluating a linear expression: Integer multiplication with addition or subtraction. Its hard
Andrei [34K]

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3 0
2 years ago
Find the vector that has the same direction as 3, 2, −6 but has length 2.
Nata [24]

Answer:

The vector is \vec r = \left(\frac{6}{7},\frac{4}{7},-\frac{12}{7}\right).

Step-by-step explanation:

We can determine the equivalent vector (\vec r), dimensionless, by means of the following formula:

\vec r = \frac{\vec u}{\|\vec u\|} \cdot \|\vec r\| (1)

Where:

\vec u - Original vector, dimensionless.

\|\vec u\| - Norm of the original vector, dimensionless.

\|\vec r\| - Norm of the new vector, dimensionless.

The norm of the original vector is determined by the following definition:

\|\vec u\| = \sqrt{\vec u\,\bullet \,\vec u} (2)

If we know that \vec u = (3, 2, -6), then the norm of the original vector is:

\|\vec u\| = \sqrt{(3)\cdot (3)+(2)\cdot (2)+(-6)\cdot (-6)}

\|\vec u\| = 7

If we know that \|\vec r\| = 2, then the new vector is:

\vec r = \frac{2}{7}\cdot (3,2,-6)

\vec r = \left(\frac{6}{7},\frac{4}{7},-\frac{12}{7}\right)

The vector is \vec r = \left(\frac{6}{7},\frac{4}{7},-\frac{12}{7}\right).

7 0
3 years ago
what percentage of undergraduates students in Calculus 1 are required to do computer assignments in their classes
Dafna1 [17]

Full question:

Every 5 years the Conference Board of the Mathematical Sciences surveys college math departments. In 2000 the board reported that 51% of all undergraduates taking Calculus I were in classes that used graphing calculators and 31% were in classes that used computer assignments. Suppose that 16% used both calculators and computers. a) What percent used neither kind of technology? b) What percent used calculators but not computers? c) What percent of the calculator users had computer assignments? d) Based on this survey, do calculator and computer use appear to be independent events? Explain.

Answer:

a. 34%

b. 35%

c. 31.4%

d. Independent events

Explanation:

a. To calculate percentage that used neither kind of technology, we already know those that use the technologies and total taking calculus so:

100%-51%-31%-16%= 34%

b. Percentage that used calculators but not computers.

= 51%-16%=35%

c. Percentage of the calculator users that had computer assignments?

= 16/51×100=31.4% (there are 16 people using both so that as a percentage of 51 people using calculators)

d. Independent events are events that do not affect the other, such that occurrence of one does not define occurrence of the other. Since percentage of calculator and computer assignment users is close to those who are not using any, we can say they are independent events.

5 0
3 years ago
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