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3 years ago

The number of bacteria in culture grows 80% each hour. Suppose. There are 250 bacteria in the original culture.

Mathematics

1 answer:

Flauer [41]3 years ago

4 0

Answer: (a) y = 250(1.8)ˣ (b) 89,262 bacteria

<u>Step-by-step explanation:</u>

Use the exponential growth formula y = a(b)ˣ where

a = Initial Value
b = 1 + r (for growth) or 1 - r for decay
r = rate (convert percent to a decimal)

a) Given: a = 250, r = 80% (.80) → b = 1.8

y = 250(1.8)ˣ

b) Given: x = 10

y = 250(1.8)¹⁰

y = 89,261.68 = 89,262 (rounded to the nearest whole number)

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igor_vitrenko [27]

Answer: The probability of picking a black bead is 4/7, because there are 4 black beads out of seven. But if you took the first black bead out of the equation then the probability is now 3/7.

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2 years ago

The equation y=123.1(1.065)* models the number of college students (in thousands) who studied abroad each year from 1998 through

xenn [34]

The estimate of the number of students studying abroad in 2003 is 169 and the estimate of the number of students studying abroad in 2018 is 433

<h3>a. Estimate the number of students studying abroad in 2003.</h3>

The function is given as:

y = 123(1.065)^x

Where x represents years from 1998 to 2013

2003 is 5 years from 1998.

This means that

x = 5

Substitute the known values in the above equation

y = 123(1.065)^5

Evaluate the exponent

y = 123 * 1.37008666342

Evaluate the product

y = 168.520659601

Approximate

y = 169

Hence, the estimate of the number of students studying abroad in 2003 is 169

<h3>b. Assuming this equation continues to be valid in the future, use this equation to predict the number of students studying abroad in 2018.</h3>

2018 is 20 years from 1998.

This means that

x = 20

Substitute the known values in the above equation

y = 123(1.065)^20

Evaluate the exponent

y = 123 * 3.52364506352

Evaluate the product

y = 433.408342813

Approximate

y = 433

Hence, the estimate of the number of students studying abroad in 2018 is 433

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4 0

2 years ago

Is cos²α the same thing as cosα²?

Anna71 [15]

Answer:

No, it is not the same thing.

Step-by-step explanation:

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2 years ago

Find the equation of the line through the points (0, –3) and (4, 5)

vekshin1

Answer:

y=2x-3

Step-by-step explanation:

Hi there!

We are given the points (0, –3) and (4, 5)

We want to find the equation of the line between these points

There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

To write the equation of the line in this way, we need to first find the slope of the line
The slope can be found using the formula $\frac{y_2-y_1}{x_2-x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points

We already have 2 points, but let's label their values to avoid confusion and mistakes when calculating.

m= $\frac{y_2-y_1}{x_2-x_1}$

m= $\frac{5--3}{4-0}$

Simplify

m= $\frac{5+3}{4-0}$

m= $\frac{8}{4}$

Divide

m=2

We found the slope of the line.

Here is the equation of the line so far:

y=2x+b

Now let's find b

As stated before, b is the y intercept of the line, which is the point where the line passes through the y axis; the value of x at the y intercept is 0

One of the points we were given (0, -3) is actually the y intercept of the line!

The value of b is the value of y at the y intercept; in this case, b is equal to -3

Now substitute -3 as b in the equation.

y=2x-3

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2 years ago

we spent $82.96 at a restaurant this total amount including a tip of 22% what was the amount of the bill before the tip?

Natasha2012 [34]

Answer:

82.96-22% = 67.83

Step-by-step explanation:

82.96-22% = 67.83

3 0

1 year ago

Read 2 more answers