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lesantik [10]
3 years ago
11

Read the following statements. 1. Each of the two items that Val bought cost more than $10. 2. Val spent $34 for the two items.

3. Neither of the two items that Val bought cost more than $15. Which two statements contradict each other?
Mathematics
1 answer:
Tom [10]3 years ago
6 0
Statements 2 and 3 contradict as if both items cost less than $15, the most money spent on either individually would be $14.99, and together would add up to $29.98, and that is at their maximum price, therefor Val couldn’t have spent $34 on both items together.
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Judges in a diving competition gave scores of 9.3, 9 1/2, 9 4/5, 9.95 And 9 1/4. Which two scores were closest to one another?
Kazeer [188]

9.3 and 9\frac{1}{4} were closest to another.

<u><em>Explanation</em></u>

First we will convert each given fractions into decimal form. So....

9\frac{1}{2}= 9+\frac{1}{2} = 9+0.50 =9.50\\  \\ 9\frac{4}{5}= 9+ \frac{4}{5}= 9+0.80=9.80\\   \\ 9\frac{1}{4}= 9+\frac{1}{4} =9+0.25= 9.25

Then the scores are: 9.30, 9.50, 9.80, 9.95 and 9.25

So, 9.30 and 9.25 are closest to another as their difference is (9.30-9.25)=0.05

That means , 9.3 and 9\frac{1}{4} were closest to another.

6 0
3 years ago
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Studentka2010 [4]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Drag steps in the given order to evaluate this expression. (−5)(2)−2(−3)+3 ( -5 )( 2 ) - 2 ( -3 ) + 3
Snowcat [4.5K]

(−5)(2)−2(−3)+3 ( -5 )( 2 ) - 2 ( -3 ) + 3

=-10+6-30+6+3

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6 0
3 years ago
Please help me .. thank you ​
KiRa [710]

Step-by-step explanation:

Break down every term into prime factors. ...

Look for factors that appear in every single term to determine the GCF. ...

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An important tool in archeological research is radiocarbon dating, developed by the American chemist Willard F. Libby.3 This is
Radda [10]

Answer:

Q(t) = Q_o*e^(-0.000120968*t)

Step-by-step explanation:

Given:

- The ODE of the life of Carbon-14:

                                       Q' = -r*Q

- The initial conditions Q(0) = Q_o

- Carbon isotope reaches its half life in t = 5730 yrs

Find:

The expression for Q(t).

Solution:

- Assuming Q(t) satisfies:

                                       Q' = -r*Q

- Separate variables:

                                      dQ / Q = -r .dt

- Integrate both sides:

                                       Ln(Q) = -r*t + C

- Make the relation for Q:

                                       Q = C*e^(-r*t)

- Using initial conditions given:

                                       Q(0) = Q_o

                                       Q_o = C*e^(-r*0)

                                      C = Q_o    

- The relation is:

                                       Q(t) = Q_o*e^(-r*t)

- We are also given that the half life of carbon is t = 5730 years:

                                       Q_o / 2 = Q_o*e^(-5730*r)

                                        -Ln(0.5) = 5730*r

                                        r = -Ln(0.5)/5730

                                        r = 0.000120968          

- Hence, our expression for Q(t) would be:

                                       Q(t) = Q_o*e^(-0.000120968*t)                                    

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