A certain radioactive isotope has a half-life of 15 days. If one is to make a table showing the half-life decay of a sample of this isotope from 32 grams to 1 gram; list the time (in days, starting with t = 0) in the first column and the mass remaining (in grams) in the second column, which type of sequence is used in the first column and which type of sequence is used in the second column?

Answers

Answer 1
Answer: A half-life of the isotope is 15 days and at start its mass is 32 g.
A table:
              t:                 m:
              0                32 g
             15               16 g
             30                 8 g
             45                 4 g
             60                 2 g
             75                 1 g
In the first column is used an arithmetic sequence ( a 1 = 0, d = 15 ).
In the second column is used geometric sequence ( a 1 = 32, r = 1/2 )                       

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What is 3/8 times 4/5

Answers

Answer:

12/40 non simplified and 3/10 simplified.

Step-by-step explanation:

The question says evaluate 2a-b/b when a=4 and b=-3.
How would I start this problem?

Answers

You would start by writing down the expression that you have to evaluate:

2a - b/b

Then, get to work:
-- Wherever you see 'a', put in 4 .
-- Wherever you see 'b', put in -3 .

2(4) - (-3/-3)

Can you handle that ?

Hint:
The thing on the right is a fraction with the same number on top and bottom.
Any fraction like that is always equal to ' 1 '.
(2a-b)/(b)\n\nsubstitute\ a=4;\ b=-3:\n\n(2\cdot4-(-3))/(-3)=(8+3)/(-3)=-(11)/(3)=-3(2)/(3)

or\ if\ 2a+(b)/(b)=2a+1\ then\ for\ a=4\ and\ b=-3:\n\n2\cdot4-3=8-3=5

Complete the statement: Cosine is the reciprocal of the ___________ ratio.

Answers

Cosine is the reciprocal of the Secant ratio.

Rotate this -90 degrees and send me new cordinates

Answers

Answer:

A (3,-2)

B (-2,-1)

C (0,3)

D (3,2)

Step-by-step explanation:

The radius of a cylindrical gift box is (2x+3) in. The height of the gift box is twice the radius. What is the surface area of the cylinder? Write your answer as a polynomial form.

Answers

let "r" be the radius of cylinder and "h" be the height.
Formula for surface area is:

S= 2*r^2*pi + 2*r*pi*h

where 2*4^2*pi is surface of two bases of cylinder and 2*r*pi*h is surface of mantle.
One of the tasks conditions is that h = 2*r.

S = 2*r^2*pi + 2*r*2*r*pi

second and last condition is r=(2x+3). Now we express this as well.

S = 2*(2x + 3)^2 * pi + 4*(2x+3)^2*pi=6*pi*(2x+3)^2

S = 6*pi*(4x^2+12x + 9)
S = 24*pi*x^2 + 72*pi*x + 54*pi

1/2 times 2/3 divided by 1/4 times 1/2

Answers

Answer:

.66 (repeating) or the rounded answer is .67

Step-by-step explanation:

1/2 times 2/3 = .33(repeating)

.33(repeating divided by 1/4 = 1.33(repeating)

1.33(repeating) times 1/2 = .66(repeating)