MATHEMATICS HIGH SCHOOL

Some radioisotopes with the longest half-lives can remain radioactive for ________ of years.A. billons
B. millions
C. thousands
D. tens of thousands

Answers

Answer 1
Answer: A: billions of years :) 
Tellerium -128's half life is longer than she existence of the universe! 
xenon- 136 has a half life of 10^21 years.

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Solve 2cos2x + cosx − 1 = 0 for x over the interval [0, 2pi ).

Answers

The solution of 2cos2x + cosx − 1 = 0 is x=\pi.

What is a Trigonometric equation?

A Trigonometric equation is an equation involving one or more trigonometric ratios of unknown angles.

How to solve?

2cos2x + cosx − 1 = 0

-3+\cos \left(x\right)+4\cos ^2\left(x\right)=0

\cos \left(x\right)=(3)/(4),\:\cos \left(x\right)=-1

And now,

x=\pi +2\pi n

Which is only x=\pi.

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Which table of values corresponds to the graph below? On a coordinate plane, a line goes through points (0, 0), (3, 1), and (6, 2). A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, 0, 3, 6. Column 2 is labeled y with entries negative 1, 0, 1, 2. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled y with entries negative 3, 0, 3, 6. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 6. Column 2 is labeled y with entries negative 1, 0, 1, 2. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled y with entries negative 1, 0, 1, 6.

Answers

Answer:

Table 1

Step-by-step explanation:

Points on the graph:

  • (0, 0), (3,1), (6,2)

Points according to tables, compared to points on the graph:

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, 0, 3, 6. Column 2 is labeled y with entries negative 1, 0, 1, 2.

  • (-3, -1), (0,0), (3,1), (6,2)- yes

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled y with entries negative 3, 0, 3, 6.

  • (-1,-3), (0, 0), (1,3), (2, 6)- not matching

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 6. Column 2 is labeled y with entries negative 1, 0, 1, 2.

  • (-1,-1), (0,0), (1,1), (6,2) - not matching

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled y with entries negative 1, 0, 1, 6.

  • (-1, -1), (0, 0), (1,1), (2,6)- not matching

The data of table 1satisfies the graph.

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

Points on the graph: (0, 0), (3,1), (6,2)

Now, comparing these points with the table we have

Coordinatesaccording to table - 1

(-3, -1), (0,0), (3,1), (6,2)

As, the coordinatesmatches with the table.

Hence, table-1 satisfies the situation.

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Can someone please help me .

Answers

Answer:

Distance = speed x time.

Step-by-step explanation:

Hope I helped

A school band sold 30 raffle tickets, each labeled with a number from 1 to 30. One winning ticket will be drawn.What is the probability that the number of the winning ticket will be a multiple of 4 or the number 19? Express your answer in simplest form.

Answers

The Correct answer is 4/15 I took the same quiz I got it right.

Area of a Trapezoid = 791 square cm. Base 1 = 26.5cm, Base 2 = 30cm. What is the height?

Answers

A=1/2(h)(b1+b2)
791=1/2(h)(26.5+30)
791=1/2(h)(56.5)
1582=(h)(56.5)
28=h

13 is 40% of what number

Answers

translate
percent means parts out of 100 so 40%=40/100=0.4
'of' means multiply

13 is 40% of what
13=0.4 times what
divide both sides by 0.4
32.5=what

the number is 32.5
Its 32.5. How I got this answer is you would usually multiply 'that number' by 40%, but since we don't know it we divide 13 divided by 0.4(40% in decimal form) and that gives you 32.5. And to check your answer you do 32.5 multiplied by 0.4 to get 13. 
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