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EleoNora [17]
3 years ago
5

In the polynomial below, what number should replace the question mark to

Mathematics
1 answer:
galben [10]3 years ago
6 0

Answer:

C:  6

Step-by-step explanation:

Let's work backward.  If that ? is replaced by 6, we have:

x^2 + 12x + 36 = (x + 6)^2.

The coefficient in question is 6.

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Alice studies the relationship between climate and heart disease around the world. H(t)H(t)H, left parenthesis, t, right parenth
ddd [48]

Answer:

The domain of the function H(t), is [-5, 30].

The range of the function H(t), is [(10% + average), (average - 20%)]

Step-by-step explanation:

The domain of a function is the complete set of possible values of the independent variable.

For this question, the function is H(t), with the temperature, t, serving as the independent variables and H(t) the evidently dependent variable.

The domain of a function refers to all the possible independent variable values that will give corresponding real dependent variable values.

For this question, Alice's model has the probability for the occurrence of heart disease (in percents relative to the global average) at an area, H(t) varying with the temperature of that area in degree Celsius.

At a temperature of -5°C (the lowest temperature in the model), the probability is 10% above the average.

Then, the probability decreases with increase in temperature, taking a value 20% lower than the average when the temperature is at its highest of 30°C in the model.

So, temperature ranges from -5°C to 30°C and the probability for the occurrence of heart disease ranges from 10% above the average to 20% below the average.

The domain of the function H(t), from the definition given above would therefore be [-5, 30]

And the range of the function H(t), is [(10% + average), (average - 20%)]

Hope this Helps!!!

7 0
3 years ago
Read 2 more answers
How do you simplify this with no negative exponents ?<br><br> (2x^-2 y^3) (3x^3 y^3)
mafiozo [28]

Answer:

6xy with the power of 6

8 0
3 years ago
Eighteen telephones have just been received at an authorized service center. Six of these telephones are cellular, six are cordl
LenaWriter [7]

Answer:

a) 0.0498

b) 0.1489

c) 0.1818

Step-by-step explanation:

Given:

Number of telephones = 6+6+6= 18

6 cellular, 6 cordless, and 6 corded.

a) Probability that all the cordless phones are among the first twelve to be serviced:

12 are selected from 18 telephones, possible number of ways of selection = ¹⁸C₁₂

Then 6 cordless telephones are serviced, the remaining telephones are: 12 - 6 = 6.

The possible ways of selecting thr remaining 6 telephones = ¹²C₆

Probability of servicing all cordless phones among the first twelve:

= (⁶C₆) (⁶C₁₂) / (¹⁸C₁₂)

= \frac{1 * 924}{18564}

= 0.0498

b) Probability that after servicing twelve of these phones, phones of only two of the three types remain to be serviced:

Here,

One type must be serviced first

The 6 remaining to be serviced can be a combination of the remaining two types.

Since there a 3 ways to select one type to be serviced, the probability will be:

= 3 [(⁶C₁)(⁶C₅) + (⁶C₂)(⁶C₄) + (⁶C₃)(⁶C₃) + (⁶C₄)(⁶C₂) + (⁶C₅)(⁶C₁)] / ¹⁸C₁₂

= \frac{3 * [(6)(6) + (15)(15) + (20)(20) + (15)(15) + (6)(6)]}{18564}

= \frac{2766}{18564}

= 0.1489

c) probability that two phones of each type are among the first six:

(⁶C₂)³/¹⁸C₆

\frac{3375}{18564}

=0.1818

5 0
4 years ago
Find the 9th term of the geometric sequence​
Lisa [10]

Answer:

The answer to your question is:

9th  term = \frac{1}{781250}

Step-by-step explanation:

The factor is 1/5, then:

\frac{1}{2} , \frac{1}{10} , \frac{1}{50} , \frac{1}{250} , \frac{1}{1250}

\frac{1}{6250} , \frac{1}{31250} , \frac{1}{156250}, \frac{1}{781250}

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Vowels are the letters A, E, I, O, U, and Y. Consonants are all the letters that are not vowels. Select all the words that have
viktelen [127]
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