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3 years ago

2. Any object that a magnet attracts is a magnetic A. pole. B. field. C. material.

Mathematics

2 answers:

salantis [7]3 years ago

5 0

B. Field as it is getting attracted to it

alexdok [17]3 years ago

3 0

Material, since some materials don’t get attached to magnets

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Write the following expression without parenthesis and simplify fully 4-2(x+3)

nalin [4]

Answer:

-2x-2

Step-by-step explanation:

this is the right answer

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A sixth number will be added to the list. What must it be in order for the mean to be 12?

Nataliya [291]

The sixth number should be 16 in order for the mean to be 12

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Use complete sentences to explain how to use linear factors to determine the equation of a polynomial function

Leona [35]

Answer: p(x) = a (x-b)(x-c)(x-d)

Step-by-step explanation:

The first step is to determine the degree of the polynomial.

It shall depend totally on the linear factors given for the polynomial.

If there is one, it is a linear polynomial.

If there are 2, then it is a quadratic polynomial.

If there are three then it shall be a cubic polynomial.

Now let us assume that there are three linear factors.

We multiply those factors and write the polynomial.

If x-b, x-c & x-d are the factors we write

p(x) = (x-b)(x-c)(x-d)

But as we may have a leading coefficient so we write the polynomial as

Then we go on to expand this to get the polynomial in the standard form.

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3 years ago

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During her first year of college, Sara put $2000 in the bank to save for a trip to Italy after graduation. The money earned 3% s

vodomira [7]

Answer:

Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Investment of Sara during her 1st year of college = US$ 2,000

Duration of the investment = 4 years

Annual interest rate = 3%

2. Let's find the future value of this investment after 4 years, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Investment of Sara during her 1st year of college = US$ 2,000

number of periods (n) = 4

rate (r) = 3% = 0.03

Replacing with the real values, we have:

FV = 2,000 * (1 + 0.03) ⁴

FV = 2,000 * (1.03) ⁴

FV = 2,000 * 1.12550881

FV = 2,251.02

Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.

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3 years ago

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A water well is to be drilled in the desert where the soil is either rock, clay or sand. The probability of rock P(R)equals=0.

GaryK [48]

The tree diagram for the probability is shown below

P(Clay|Positive) is read 'Probability of Clay given the result is Positive'.

This is a case of conditional probability.

The formula for conditional probability is given as
P(Clay|Positive) = P(Clay∩Positive) ÷ P(Positive)

P(Clay∩Positive) = 0.21×0.48 = 0.1008

P(Positive) = P(Rock∩Positive) + P(Clay∩Positive) + P(Sand∩Positive)
P(Positive) = (0.53×0.53) + (0.21×0.48) + (0.26×0.75)
P(Positive) = 0.2809 + 0.1008 + 0.195
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Hence,
P(Clay|Positive) = 0.1008÷0.5767 = 0.175 (rounded to 3 decimal place)

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3 years ago