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4 years ago

What is 12.5% written as a fraction?

1 answer:

6 0

First off, 'percent' literally means 'per hundred,' so 12.5 'per hundred' = $\frac{12.5}{100}$
$\frac{12.5}{100} = \frac{125}{1000} = \frac{1}{8}$

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The concentration of dichlorodiphenyltrichloroethane (DDT - an infamous pesticide) in Lake Michigan has been declining exponenti

mojhsa [17]

Answer: A) $y=13e^{-0.1359t}$

B) H = 5.10

C) Yes

Step-by-step explanation: Exponential Decay function is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form: $y(t)=Ce^{rt}$

A) C is initial quantity, in this case, the initial concentration of DDT. To determine r, using the data given:

$y(t)=Ce^{rt}$

$2.22=13e^{13r}$

$e^{13r}=0.1708$

Using a natural logarithm property called power rule:

$13r=ln(0.1708)$

$r=\frac{ln(0.1708)}{13}$

$r=-0.1359$

The decay function for concentration of DDT through the years is $y(t)=13e^{-0.1359t}$

B) The value of H is calculated by $y=C(0.5)^{\frac{t}{H} }$

$2.22=13(0.5)^{\frac{13}{H} }$

$(0.5)^{\frac{13}{H} }=0.1708$

Again, using power rule for logarithm:

$\frac{13}{H} log(0.5)=log(0.1708)$

$\frac{13}{H} =\frac{log(0.1708)}{log(0.5)}$

$\frac{13}{H} =2.55$

H = 5.10

Constant H in the half-life formula is H=5.10

C) Using model $y(t)=13e^{-0.1359t}$ to determine concentration of DDT in 1995:

$y(24)=13e^{-0.1359.24}$

y(24) = 0.5

By 1995, the concentration of DDT is 0.5 ppm, so using this model is possible to reduce such amount and more of DDT.

8 0

3 years ago

Linear Inequalities - Applications

ANEK [815]

Nine ft and 8 ft with can of the same because

8 0

3 years ago

If f(x)=9x-8, which of the following is the inverse of f(x) *Apex*

Phoenix [80]

First you must know that f(x) means the same thing as y so...

y = 9x - 8

To find the inverse switch the places of x and y and solve for y

x = 9y - 8

x + 8 = 9y

$y = \frac{x+ 8}{9}$

^^^That means the answer is A!

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0

4 years ago

Read 2 more answers

if z (3,-1) is the midpoint of line segment of coordinate x (5,2) and y (a,b) then find the value of a and b. I need it fast if

Gwar [14]

Answer:

the coordinates of y are (1,-4)

Step-by-step explanation:

by using midpoint formula

z(x,y)=( $\frac{x1+x2}{2}$ , $\frac{y1+y2}{2}$ )

putting the values of coordinates

(3,-1)= $\frac{5+a}{2}$ , $\frac{2+b}{2}$

separating the coordinates

3= $\frac{5+a}{2}$ and -1= $\frac{2+b}{2}$

3×2=5+a and -1×2=2+b

6=5+a and -2=2+b

6-5=a and -2-2=b

1=a and -4=b

so the actual coordinates of y are (1,-4)

i hope it will help you

8 0

3 years ago

In a histogram, are the lengths of the rectangles proportional to the width of the bars?

Orlov [11]

Answer:

Step-by-step explanation:

In different scenarios, the data will be different. However, sometimes, it's impossible to draw a histogram with equal widths, so in order to maintain clarity and fairness, the area of the bars should actually be proportional to the frequency, which is usually the y-axis of the graph or height of the bars.

Hope this helps!

5 0

3 years ago

Read 2 more answers