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3 years ago

A radioactive element has a half-life of six days. What is the approximate decay rate of the element after the first day?

Mathematics

2 answers:

s344n2d4d5 [400]3 years ago

3 0

Answer: Good question bc I dont know either

Step-by-step explanation: Im stuck on e2020

HELP!!!

pogonyaev3 years ago

3 0

Answer: 8.3 or C

Eplanation: This is because a half life is 50 percent of a normal life so 50 percent divided by 6 is 8.3

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Two 6-sided dice are tossed. One die is red and the other is white, so that they are distinguishable. (That is, we consider the

Darina [25.2K]

Answer:

Given the following events and its elements when two 6-sided dice are tossed:

A: the sum of the dice is even

B: at least one die shows a 3

C: the sum of the dice is 7

The elements of the intersections are:

a) A∩B={(1, 3),(3, 1),(3, 3),(3, 5),(5, 3)}

b) B^c∩C={(1, 6),(2, 5),(5, 2),(6, 1)}

c) A∩C={∅}

d) A^c∩B^c∩C^c={(1, 2),(1, 4),(2, 1),(4, 1),(4, 5),(5, 4),(5, 6),(6, 5)}

Step-by-step explanation:

The total number of elements of the universal set (U) for this problem is 36 elements because the number of possible combinations is 6*6.

For the event A, half of the elements satisfy the condition of the sum being an even number.

A={(1, 1),(1, 3),(1, 5),...,(6, 2),(6, 4),(6, 6)}=18 elements

For event B, the elements that contain a 3 are:

B={(1, 3),(2, 3),(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),

(4, 3),(5, 3),(6, 3)}= 11 elements

For event C, the sum of the elements is 7:

C={(1, 6),(2, 5),(3, 4),(4, 3),(5, 2),(6, 1)}=6 elements

Now let's find the intersections:

a) A∩B are the elements of A that have a 3.

A∩B={(1, 3),(3, 1),(3, 3),(3, 5),(5, 3)}

b) B^c∩C are the elements of the universal set (U) that do not have a 3 and that the sum of the dice is 7

B^c∩C={(1, 6),(2, 5),(5, 2),(6, 1)}

c) A∩C are the elements of that sum 7, but this is not possible given that all the elements of A sum an even number and 7 is not an even number.

A∩C={∅}

d) A^c∩B^c∩C^c are the elements that don't sum an even number, don't have a 3 and the sum is not 7.

A^c∩B^c∩C^c={(1, 2),(1, 4),(2, 1),(4, 1),(4, 5),(5, 4),(5, 6),(6, 5)}

5 0

3 years ago

Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two g

Firlakuza [10]

Answers:

Ava’s graph is a vertical translation of f(x) = x^2.

Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.

Ava’s graph has a y-intercept of 4.

Given:

Ava graphs the function $h(x) = x^2 + 4$ .

Victor graphs the function $g(x) = (x + 4)^2$

To find y intercept we plug in 0 for x

$h(x) = x^2 + 4$

$h(x) = 0 + 4$ = 4

So ,Ava’s graph has a y-intercept of 4.

Ava graphs the function $h(x) = x^2 + 4$

If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.

Hence , Ava’s graph is a vertical translation of f(x) = x^2. Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.

Victor graphs the function $g(x) = (x + 4)^2$

If any number added with x then the graph will be shifted left. the graph will be shifted in negative x direction.

7 0

4 years ago

Read 2 more answers

Is my answer correct? If not could you plz show the explanation of how to solve some might think it’s easy !!!

Monica [59]

Answer:

Step-by-step explanation:

( 50 / 5² )² ÷ 4 (by PEDMAS, do the terms inside the parentheses first)

= [ (5 · 10) / (5 · 5) ]² ÷ 4 (the 5's cancel out in the numerator and denominator)

= [ (10) / (5) ]² ÷ 4

= [ 2 ] ² ÷ 4

= 4 ÷ 4

= 1

Hope this helps

7 0

4 years ago

In the figure below mPUR =77 and mST=74 Find mPR

eduard

Answer:

The angle formed by intersecting chords is half of the sum of the intercepted arcs:

1/2(mST + mPR) = m∠PUR
1.2(74° + mPR) = 77°
74° + mPR = 2*77°
mPR = 154° - 74°
mPR = 80°

The angle formed by two tangents is the half of the difference of the intercepted arcs:

m∠PSR = 1/2(mPTR - mPR)
m∠PSR = 1/2(247° - (360° - 247°))
m∠PSR = 247° - 180°
m∠PSR = 67°

8 0

3 years ago

Can someone help with number 4 please? Due in 15 mins!!

quester [9]

Answer:

A. AG = 2 × GD

F. GE = (1/2) × BG

Step-by-step explanation:

The given point G on triangle ΔABC, which is the point of intersection of the medians of the triangle, is the centroid of the triangle

The centroid divides each median line in the ratio 2:1, therefore, we have;

The length of AG = 2 × GD, CG = 2 × GF, and BG = 2 × GE

∴ GE = (1/2) × BG

Therefore, the correct options are;

A. AG = 2 × GD, and F. GE = (1/2) × BG

8 0

3 years ago