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2 years ago

In which area of the diagram does the number −11 belong?

2 answers:

8 0

Integers and Rational Numbers, it is because if -11 is a Integer, it also has to be a Rational number. But your actual answer is Integers.

Dahasolnce [82]2 years ago

3 0

I can't see where the diagram is, but I've taken this test before so here is my answer; the correct answer choice is B) Integers. An Integer is any whole number on the negative side. If you look at the question, it's asking where -11 belongs. This number is a negative whole number, so it belongs in Integers.

Hope this helps!!

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Vector v is shown in the graph.

Elis [28]

Question 4

<h3>Answer: Choice D</h3>

Explanation:

If the initial point is the origin, the coordinates of the terminal point form the vector itself in component form. We go from (-8,6) to <-8,6>. The notation change is from ordered pair to vector format.

We have a right triangle with legs of 8 and 6 units. The pythagorean theorem will help us determine the hypotenuse is 10. Therefore, the vector length is 10 units and we would say ||v|| = 10. We have a 6-8-10 right triangle.

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Question 5

<h3>Answer: Choice B</h3>

Explanation:

Vector v starts at (2,5) and ends at (-3,-2).

The x component of the vector is x2-x1 = -3-2 = -5 meaning we move 5 units to the left when going from the start point to the endpoint.

At the same time we move 7 units down because y2-y1 = -2-5 = -7 which is the y component of the vector.

The component form of vector v is

v = <-5, -7>

it says "move 5 units left, 7 units down".

Apply the pythagorean theorem to find the length of the vector.

a^2+b^2 = c^2

c = sqrt(a^2 + b^2)

||v|| = sqrt( (-5)^2 + (-7)^2 )

||v|| = 8.602 which is approximate.

Now let's use the arctangent function to find the angle

theta = arctan(b/a)

theta = arctan(-7/(-5))

theta = 54.462 which is also approximate.

There's a problem however. This angle is in Q1 but the vector <-5,-7> is in Q3. An easy fix is to add on 180 to rotate to the proper quadrant.

54.462+180 = 234.462

which is the proper approximate angle for theta.

6 0

1 year ago

According to forrest gump, "life is like a box of chocolates. you never know what you're gonna get." suppose a candy maker offer

kifflom [539]

14/20=0.7 or 70% are soft-centred. If we take two candies we have three possibilities associated with probabilities:
Both soft-centred: 0.7²=0.49 or 49%
Both hard-centred: 0.3²=0.09 or 9%
One of each: 2×0.3×0.7=0.42 or 42%. 49+9+42=100%. So these are all the possible outcomes.

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3 years ago

On the assembly line it takes 2 ½ minutes to complete task one, 3 minutes 10 seconds to complete task two and 1 minute to comple

Rudiy27

2.3+3.1+1= 6.4

25÷6.4= 3.90625

3 tasks can be completed in 25 minutes.

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3 years ago

??? Answer toys word problem

Alenkasestr [34]

6 is a constant, so we know that y is greater than or equal to 6.

x is just a variable, but it has to be positive, so it could be anything greater than or equal to 0.

Total flour = white flour + wheat flour, therefore y = x + 6.

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3 years ago

A quiz has 1 true-false question and 2 multiple choice questions that each have 4 answers what is the probability that someone q

Anit [1.1K]

1 true and false question = 1 / 2 chances
2 multiple choice question = 2/8
1/2 + 2/8 =
4/8 + 2/8 = 6/8.

6/8 = 3/4

you have a 75% chance of getting all 3 answers correct and getting a 100% on the quiz

hope this helps :D

8 0

2 years ago