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
Burka [1]
3 years ago
11

A 45 gram sample of a substance that's used to preserve fruit and vegetables has a k-value of 0.1088

Mathematics
2 answers:
Alekssandra [29.7K]3 years ago
8 0

Answer:

The substance's half-life is 6.4 days

Step-by-step explanation:

Recall that the half life of a substance is given by the time it takes for the substance to reduce to half of its initial amount. So in this case, where they give you the constant k (0.1088) in the exponential form:

N=N_0\,e^{-k\,*\,t}

we can replace k by its value, and solve for the time "t" needed for the initial amount N_0 to reduce to half of its value (N_0/2). Since the unknown resides in the exponent, to solve the equation we need to apply the natural logarithm:

N=N_0\,e^{-k\,*\,t}\\\frac{N_0}{2} =N_0\,e^{-0.1088\,*\,t}\\\frac{N_0}{2\,*N_0} =e^{-0.1088\,*\,t}\\\frac{1}{2} =e^{-0.1088\,*\,t}\\ln(\frac{1}{2} )=-0.1088\,t\\t=\frac{ln(\frac{1}{2} )}{-0.1088} \\t=6.37\,\,days

which rounded to the nearest tenth is: 6.4 days

mamaluj [8]3 years ago
6 0

Answer:

6.4

Step-by-step explanation:

I did it on the same site and got it correct

You might be interested in
If the sum of the greatest and smallest of 4 consecutive even integers equals 30, what is the sum of all four integers?
Pie

Answer:

The sum of all four integers is 60.

Step-by-step explanation:

Let the integers be x, x + 2, x + 4, and x + 6.

x + x + 6 = 30

2x = 24

x = 12

So x + x + 2 + x + 4 + x + 6 = 4x + 12 = 60

7 0
2 years ago
Read 2 more answers
Marco sorted these solid figures into two groups. What is true about the groups?
Lisa [10]

Answer:

All figures in Group 1 appear to have at

least one square face

Step-by-step explanation:

Let us examine each statement and see whether they are true or not.

The first statement is not true. Only one of the figures (square pyramid) has at least one triangular face. It has 4 triangular faces, actually.

The second statement is not true. Only one of the figures is a rectangular prism. The remaining two are triangular pyramid and triangular prism respectively.

The third statement is not true also. Only 1 figure is a triangular prism.

The fourth statement is correct. In group 1, all the figures has at least one square face.

4 0
3 years ago
Simplify the expression.<br><br>(1/4)^(-3/2)<br><br>Please show how to do the problem.
Vlad [161]
Alright, so since it's to the negative power we essentially have 1/(1/4^(3/2)). After that, we find (1/4)^3=1^3/4^3=1/64 and find the square root of that, which is (sqrt1)/(sqrt64)=1/8. Since the answer is 1/(1/8), we get the answer to be 8
3 0
3 years ago
How many quarters are thee in 4 1/2​
Neko [114]

Hi there!

quarter:18

<u><em>1.Find common denominator in 4 and 1/2:</em></u>

<u><em /></u>4=\frac{1}{4}<u><em /></u>

<u><em /></u>\frac{1}{2}=\frac{2}{4}<u><em /></u>

<u><em>2.Convert 4 2/4 into mixed number:</em></u>

<u><em /></u>4\frac{2}{4}=\frac{18}{4}<u><em /></u>

<u><em>3.Divide 18/4 by 1/4:</em></u>

<u><em /></u>\frac{18}{4}*\frac{1}{4}=18<u><em /></u>

Therefore, there is 18 quarters in 4 1/2.

4 0
2 years ago
What is the domain of the relation {(2, 8), (0, 8), (–1, 5), (–1, 3), (–2, 3)}?
olga2289 [7]
Hello,

dom f={-2,-1,0,2}
Range={3,5,8}
3 0
3 years ago
Other questions:
  • Is 0.142045454545 a repeating or terminating number??
    12·1 answer
  • What is 4x+5x?????????????
    8·2 answers
  • What 14 ten thousand + 12 thousand
    14·2 answers
  • William has a 22 ounce energy drink. He drinks 12 ounces. Enter the percentage of ounces William has left of his energy drink. R
    9·1 answer
  • Sales of a popular movie increased by 129% from the first week to the second week. If 2,456 movies were sold the first week, how
    7·1 answer
  • Savannah loves predicting the weather. It has been record hot temperatures all week. she is predicting that the weather temperat
    11·1 answer
  • What is the answer to this?-
    12·1 answer
  • 95 is what percent of 20 ?
    9·2 answers
  • In PQR the measure of R=90, QR=61 feet and RP=90 find the measure of P to the nearest degree.
    12·1 answer
  • PMDAS<br> SHOW YOUR SULUTION <br><br>2. 12-8 + 4 + 9x (40 + 4)<br><br> 3. (18 - 9) * 4 + 8 +35 - 5​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!