1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jeyben [28]
2 years ago
7

MATH: EXPONENTIAL WORK PROBLEM 1. HELP PLEASE! 13 pts

Mathematics
1 answer:
Strike441 [17]2 years ago
4 0

The amount of the radioactive substance is 374.6 g

<h3>How to determine the amount of radioactive substance?</h3>

The given parameters are:

  • Initial, a = 424 mg
  • Rate, r = 6%
  • Time, t = 2 hours

The amount of the radioactive substance is calculated as:

A(t) = a(1 - r)^t

This gives

A(t) = 424 * (1 - 6%)^t

At 2 hours, we have:

A(2) = 424 * (1 - 6%)^2

Evaluate

A(2) = 374.6

Hence, the amount of the radioactive substance is 374.6 g

Read more about exponential functions at:

brainly.com/question/2456547

#SPJ1

You might be interested in
Really needed !!!!!! Please
Ivahew [28]
PRT means multiply p, r, and t
2000*0.08*2=320
8 0
3 years ago
Read 2 more answers
A woman bought some large frames for $19 each and some small frames for $9 each at a closeout sale. If she bought 18 frames for
MAXImum [283]

Answer: 6 large frames and 12 small frames

Step-by-step explanation:

We define the following:

x = number of large frames

y =  number of small frames

Make the following equations:

x + y = 18

19x + 9y = 222

Use system of equations to solve. We find the value of x first.

y = 18 - x

⇒ 19x + 9(18 - x) = 222

⇒ 19x + 162 - 9x = 222

⇒ 10x + 162 = 222

⇒ 10x = 60

⇒ x = 6

Find value of y:

6 + y = 18

y = 12

∴ 6 large frames and 12 small frames were purchased.

8 0
2 years ago
Factor this trinomial completely.
kifflom [539]

Answer:

2 ( x+3) (x+1)

Step-by-step explanation:

2x^2+8x+6

Factor out a 2

2(x^2 +4x+3)

Factor in side the parentheses

What multiply to 3 and adds to 4  (3(1=3  3+1 =4)

2 ( x+3) (x+1)

8 0
3 years ago
A certain brand of dinnerware set comes in three colors: red, white, and blue. Twenty percent of customers order the red set, 45
denis23 [38]

Answer:

a) 0.20

b) 0.45

c) 0.65

d) Yes

e) Yes

f) Z = X + Y (except when X = 1 and Y = 1)

This is because the successes of X and Y are mutually exclusive events but their failures aren't. X and Y cannot both be 1.

Step-by-step explanation:

Probability of a red set = 20% = 0.20

Probability of a white set = 45% = 0.45

Probability of a blue set = 35% = 0.35

Probability of the single set being a red or white set = 20% + 45% = 65% = 0.65

P(X=1) = 0.20, P(X=0) = 1 - 0.2 = 0.80

P(Y=1) = 0.45, P(Y=0) = 1 - 0.45 = 0.55

P(Z=1) = 0.65, P(Z=0) = 1 - 0.65 = 0.35

a) pX = P(X=1) = 0.20

b) pY = P(Y=1) = 0.45

c) pZ = P(Z=1) = 0.65

d) Since only one order is being considered at a time, it isn't possible to order red & white set in a single set, hence, both X and Y cannot both be successes (equal to 1) at the same time. But they can both be failures (both equal to 0) if a blue set is ordered. The successes of X and Y are mutually exclusive events but their failures aren't

e) Is pZ = pX + pY

pX = 0.2, pY = 0.45, pZ = 0.65

Hence, this statement is correct!

f) Z = X + Y

Let's check all the probabilities

when X = 1 and Y = 1, Z = 1

1 ≠ 1 + 1

when X = 0 and Y = 1, Z = 1

1 = 0 + 1

when X = 1 and Y = 0, Z = 1

1 = 1 + 0

when X = 0 and Y = 0, Z = 0

0 = 0 + 0

Hence, Z = X + Y (except when X = 1 and Y = 1)

This is because the success of X and Y are mutually exclusive events but their failures aren't.

8 0
3 years ago
18 is what percent of 40
marshall27 [118]

Answer:

45%

Step-by-step explanation:

Create a fraction with the of " something " on the denominator and multiply by 100% to create the percentage, that is

percent = \frac{18}{40} × 100% = 45%

7 0
3 years ago
Read 2 more answers
Other questions:
  • If the Williams family has a monthly income of $3,000, how much do they spend on food each month?
    8·2 answers
  • Can someone help me with this problems Thankyou (:
    5·1 answer
  • Please help me answer this geometry question!
    10·1 answer
  • Need help anybody What is 30-(15-5)=?
    15·2 answers
  • 7,060,268,214.what is this number rounded to the nerest hundred million?
    8·1 answer
  • Please help me if you can!!
    10·1 answer
  • PLEASE HELP I WILL MARK BRAINLIEST
    8·2 answers
  • Find the area of each shape, please help and I will give a lot points
    11·1 answer
  • Prem has $45000 to invest for 1 year. The bank tells him the interest rate is 6%. Calculate how much the investment is worth at
    10·1 answer
  • 3 1/2 + (-7) x (2 2/3 + 1 1/2) = ?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!