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Paul [167]
3 years ago
9

A sample of bacteria is decaying according to a half-life model. If the sample begins with 800 bacteria, and after 13 minutes th

ere are 320 bacteria, after how many minutes will there be 15 bacteria remaining? Round your answer to the nearest whole number.
Mathematics
1 answer:
nikklg [1K]3 years ago
3 0

Answer:

56.42 minutes

Step-by-step explanation:

The initial sample= y0 = 800

After 13 minutes , amount = 320

Y= y0e-kt

320 = 800e-k(13)

320/800 = e-k13

0.4 = e-k13

In0.4 = -k13

-0.91629= -k13

0.07048= k

Y = 800e-0.07048t

Minutes when the bacterial present will be 15

15 = 800e-0.07048t

15/800= e-0.07048t

0.01875 = e-0.07048t

In 0.01875 = -0.07048t

-3.97656 = -0.07048t

-3.97656/-0.07048= t

56.42 = t

56.42 minutes

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olasank [31]

Answer:

\huge\boxed{\sf Area\ of\ the\ circle = 1385.4\ in.\²}

Step-by-step explanation:

We have to find out the area of the square in order to find how many square inches were cut from the squared cloth.

Diameter = 42 in.

Radius = D / 2 = 42 / 2 = 21 in.

Area of circle = πr²

Where r = 21 in.

Area = (3.14)(21)²

Area = (3.14)(441)

Area of the circle = 1385.4 in.²

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>

3 0
3 years ago
Read 2 more answers
Line u || line v, what is the value of x? <br><br> pls help!!!
ArbitrLikvidat [17]

Answer:

x = 6

Step-by-step explanation:

110 and 19x - 4 are alternate exterior angles and are congruent, then

19x - 4 = 110 ( add 4 to both sides )

19x = 114 ( divide both sides by 19 )

x = 6

5 0
2 years ago
Pie graphs anyone help????
nadya68 [22]
I’m not understanding what you’re asking here
3 0
3 years ago
Please help me for this question
Nezavi [6.7K]

Answer:

Mid-point: (0,-5)

Equation: y=\frac{7}{3}x-5

Step-by-step explanation:

To find the mid-point of AB, simply add up their x and y coordinates and divide by 2 respectively to find their middle point.

(\frac{{x__A}+{x__B}}{2},\frac{{y__A}+{y__B}}{2})

(\frac{{-7}+{7}}{2},\frac{{-2}+{(-8)}}{2})

(0,-5)

To find the perpendicular slope that passes through the mid-point, we need to know the slope between AB first.

Slope of AB: \frac{{y__2}-{y__1}}{{x__2}-{x__1}} = \frac{{-8}-{-2)}}{{7}-{(-7)}} = \frac{-6}{14} = \frac{-3}{7}

Multiplying slopes that are perpendicular with each other always results in -1.

\frac{-3}{7}*m = -1

m=\frac{7}{3}

By the point slope form:

({y}-{y__1})=m({x}-{x__1})

Plug in the coordinates of the mid-point:

({y}-{(-5)})=\frac{7}{3} ({x}-{0})

Equation: y=\frac{7}{3}x-5

6 0
3 years ago
A regular tube of toothpaste costs $2.50 for 3.2 ounces. A travel size tube costs $1.00 for 1.2 ounces. Compare the prices and w
Len [333]

Answer:

The travel size costs 6 ​% as much as the regular size. Thus the regular size would be more economical and thus a better buy

Step-by-step explanation:

step 1

<em>Find out the unit rate of a regular  tube of toothpaste</em>

we know that

To find out the unit rate, divide the total cost by the total weight

so

\frac{2.50}{3.2}=\$0.78\ per\ ounce

step 2

<em>Find out the unit rate of a travel size tube of toothpaste</em>

we know that

To find out the unit rate, divide the total cost by the total weight

so

\frac{1.00}{1.2}=\$0.83\ per\ ounce

step 3

Find out the percent of increase

we have that

The unit rate \$0.83\ per\ ounce represent the 100%

so by proportion

Find out what percentage represent the difference ($0.83-$0.78=$0.05 per ounce)

\frac{0.83}{100\%}=\frac{0.05}{x}\\\\x=100(0.05)/0.83\\\\x=6\%

therefore

The travel size costs 6 ​% as much as the regular size. Thus the regular size would be more economical and thus a better buy

6 0
3 years ago
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