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Elden [556K]
3 years ago
15

If x = 3, calculate the value of: 2x2 + x

Mathematics
1 answer:
Molodets [167]3 years ago
3 0
2x = 2 * 3 = 6

6^2 = 6*6 = 36

36 + 3 = 39

Answer: 39
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Let p, q, and r represent the following statements"
-BARSIC- [3]

Answer:

Step-by-step explanation:

$$a. Sam had pizza last night and Chris finished her homework.\\p\wedge q\\\\$b. Chris did not finish her homework and Pat watched the news this morning.$\\\neg q \wedge r\\\\$c. Sam did not have pizza last night or Chris did not finish her homework.$\\\neg p \vee \neg q\\\\

$$d. Either Chris finished her homework or Pat watched the news this morning, but not both.$\\q\vee r\\\\$e. If Sam had pizza last night then Chris finished her homework.$\\p \rightarrow q\\\\$f. Pat watched the news this morning only if Sam had pizza last night.$\\p\leftrightarrow r\\\\

$$g. Chris finished her homework if Sam did not have pizza last night.$\\\neg p \rightarrow q\\\\$h. It is not the case that if Sam had pizza last night, then Pat watched the news this morning.$\\\neg (p\rightarrow r)\\\\

$$i. Sam did not have pizza last night and Chris finished her homework implies that Pat watched the news this morning.$\\(\neg p \wedge q) \Rightarrow r\\\\ $j. q\Rightarrow r$\\Chris finished her homework implies that Pat watched the news this morning.\\\\

$$k. p \Rightarrow (q \wedge r)$\\Sam has pizza last night implies that Chris finished her homework and Pat watched the news this morning.$\\\\

$$l. \neg p \Rightarrow (q \vee r)$\\Sam did not have pizza last night implies that Chris finished her homework or Pat watched the news this morning.$\\\\

$$m. r \Rightarrow (p \vee q)$\\Pat watched the news this morning implies that Sam had pizza last night or Chris finished her homework$

3 0
3 years ago
The equation y 4.9t 2 3.5t 2.4 relates the height y in meters to the elapsed time t in seconds for a ball thrown downward at 3.5
tamaranim1 [39]

Answer:

t \approx 0.43\,s

Step-by-step explanation:

The vertical displacement function is y(t) = -4.9\cdot t^{2}-3.5\cdot t + 2.4, where y(t) is measured in meters and t in seconds. Ball hits the ground when y(t) = 0. That is:

-4.9\cdot t^{2}-3.5\cdot t + 2.4 = 0

Whose roots can be found by using the General Formula for Second-Order Polynomials:

t_{1,2} = \frac{3.5\pm \sqrt{(-3.5)^{2}-4\cdot (-4.9)\cdot (2.4)} }{2\cdot (-4.9)}

Solutions of this polynomial are:

t_{1} \approx 0.43\,s,t_{2} \approx -1.14\,s

Only the first root is physically consistent.

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4 years ago
What is 5,853.128 rounded to the nearest hundredth?
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This number rounded to the nearest hundredth would be 5,853.13
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Step-by-step explanation:

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