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3 years ago

Select the equivalent expression that shows the fewest possible terms.

Mathematics

2 answers:

LenaWriter [7]3 years ago

7 0

Answer:

Step-by-step explanation:

7a-10c-2a-0.5c+5

5a-10.5c+5

it is your first choice

SSSSS [86.1K]3 years ago

6 0

The first one

7a - 10c - 2a - 1/2c + 5
7a -2a - 10c - 1/2c + 5
5a -10.5c + 5

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Cesium-137 has a half-life of about 30 years. A) Find the annual decay rate and round final result to 4 decimal places. B) Find

MrMuchimi

Answer:

0.0228
0.0231
100 years
0

Step-by-step explanation:

The exponential equation for the fraction remaining after x years can be written as ...

y = (1/2)^(x/30)

A) For x=1, the fraction remaining is ...

y = (1/2)^(1/30) ≈ 0.97716 = 1 - 0.0228

Of the original amount, 0.0228 decays each year.

B) The continuous decay rate is the natural log of the growth factor, so is ...

ln(0.97716) = -0.0231

The continuous decay rate is 0.0231 of the present amount (per year).

C) For y=.10 (1/10 of the original amount) we find x to be ...

.1 = .5^(x/30)

ln(.1) = (x/30)ln(.5) . . . . . take the natural log

30ln(0.1)/ln(0.5) = x ≈ 100 . . . years

It will take 100 years for a 10-gram sample to decay to 1 gram.

D) As x goes to infinity, y goes to zero.

_____

The relationship between growth rate and growth factor is ...

growth factor = 1 + growth rate

When the growth rate is negative, it is called a decay rate.

8 0

4 years ago

PLEASE HELP!!

kifflom [539]

Answer:

Nothing, they are equal.

Step-by-step explanation:

we know that

The measure of an arc length is equal to the measure of its central angle

therefore

In this problem

If the central angle is 28°

then

The measure of its arc is 28° too

6 0

3 years ago

Read 2 more answers

Question 2

frosja888 [35]

Answer:

(50,55,60,....)

Step-by-step explanation:

Given that a health insurance plan has a $50 enrollment fee and a copayment of $5 for each doctor visit.

The function f(x) = 5x + 50 gives the cost of x doctor visits

Here x is the no of visits.

No of visits is an independent variable while f(x) total cost is a dependent variable on x

slope = 5 which indicates for each visit extra, extra cost is 5 dollars

Enrollment fee = 50 = fixed cost

Hence domain would be

x =0,1,2,3.....

So range is

(50,55,60,....)

3 0

3 years ago

Two new student clubs start at a school. Each club has a plan to increase membership.

Triss [41]

Answer:

The correct option is;

N = 4·w + 12

N = $3 (2)^w$

Step-by-step explanation:

The given plan the clubs will use to increase membership are;

Club 1: The starting number of members in the club = 12

The number of additional members added each week = 4

Club 2: The starting number of members in the club = 3

The total number of members at the end of each week = Double the the initial total membership

Therefore, we have;

For club 1, N = 12 + 4×w = 4·w + 12

N = 4·w + 12

For club 2, at week w, N = 3 × 2 × 2 ×...× 2 = $3 \times 2^w$

The correct option is therefore, N = 4·w + 12, N = $3 (2)^w$

5 0

3 years ago

Three multiples of 2/3

Genrish500 [490]

Answer:

Multiples of 2/3 are 4/3, 2, and 8/3

Step-by-step explanation:

6 0

4 years ago