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
wel
3 years ago
15

PLEASE HELP!!!

Mathematics
2 answers:
ludmilkaskok [199]3 years ago
4 0

Answer:

The half life of the substance is 6.0 days.

Step-by-step explanation:

The initial equation for the initial mass and mass at time t is;

                                N = N_{0} e^{-kt}

Where N is the mass at time t, N_{0} is the initial mass, k is the constant and t is the half life. After the half life i.e t,

So that at a given time t, N_{0} = 33 grams and N = 16.5 grams

        ⇒       16.5 = 33 e^{-kt}

                  16.5 = \frac{33}{e^{kt} }

cross multiply, we have;

                e^{kt} = \frac{33}{16.5}

                  e^{kt} = 2

Find the natural logarithm of both sides,

          ln e^{kt}  = ln2

          kt = ln2

 ⇒     t = \frac{ln2}{k}

         t = \frac{0.6932}{0.1142}

         t = 6.07

The half life of the substance is 6.0 days.

 

Aneli [31]3 years ago
3 0
From the attached graphic, Half-life = ln (.5) / k

Half-life =.693147 / <span>0.1142
= </span><span><span><span>6.0695884413 </span> days

The value of "k" should be negative and should have units associated with it.
</span> </span>

You might be interested in
X+7=4 Algebraic equation
Vaselesa [24]
The answer is x=  

-3

Hope I helped!

5 0
2 years ago
Read 2 more answers
A rectangular roof shingle is 7 inches wide and 10 inches long. What is its area?
Slav-nsk [51]
The area of the rectangular roof shingle is 70 inches
4 0
3 years ago
Read 2 more answers
John bought a bag of lawn fertilizer that will cover 289 square feet. What
erik [133]

Answer:

17 feet

Step-by-step explanation:

A bag of lawn fertilizer covers 289 square feet

Dimensions of the largest square plot of lawn that the bag of fertilizer will cover.

Area of a square lawn = length^2

Area of the square lawn = 289 square feet

Area of a square lawn = length^2

289 = length^2

Find the square root of both sides

√289 = √length^2

17 = length

Length = 17 feet

Dimensions of the largest square plot of lawn that the bag of fertilizer will cover = 17 feet by 17 feet

8 0
3 years ago
the area of a trapezoid is 21 inches, one of its bases is 8 inches and its height is 3 inches. What is the length of the last ba
jarptica [38.1K]

Answer:

6 inches

Step-by-step explanation:

A=b1+b2/2*h

Fill in the equation with what we know

21=8+x/2*3

Isolate x

Quick steps: 21/3=7*2=14-8=6

x=6

3 0
2 years ago
I NEED HELP ASAP IF RIGHT WILL GIVE BRAINLYEST
tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

c

3 0
3 years ago
Read 2 more answers
Other questions:
  • The javelin is a lightweight spear. The size of the javelin for the javelin throw is 800 grams. What is the weight in ounces? In
    13·1 answer
  • PLEASE HELP ME WITH BOTH 9 AND 10!!!
    5·1 answer
  • Which of the following is a characteristic of the repeating shapes in a tessellation?A. Shapes cannot be regular polygons.B. Sha
    14·2 answers
  • What is the equation of a line that passes through (.5,4.25) and (2,18.5) and has a y-intercept of -.5
    14·1 answer
  • What is the first derivative of the following function: f(x) = aexp(-bx)
    7·1 answer
  • A scuba diver is swimming in the ocean 10 feet below sea level. Then, she dives down 12
    5·2 answers
  • Please help me with this question and please show work I appreciate it
    6·1 answer
  • If 1 and -1 are the zeroes of the polynomial p(x) = ax 3 + x 2 − 2x + b, find the values of a and b
    13·1 answer
  • the space station has an average orbit of 250 miles above the earth. how many pennies would it take to make a stack that high ?
    6·1 answer
  • Evaluate the following<br> average rate of change of<br> f from x=0 to x=4 is ?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!