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Daniel [21]
3 years ago
10

A few more math problems

Mathematics
1 answer:
Evgen [1.6K]3 years ago
4 0
The answer to the first one would be B. The formula for exponential decay with the filled in values are as follows: 25000(.85)^5 Just plug it into a calculator.
The answer to the second question would also be B. The easiest way to get this answer is to find the slope, or how much the y is changing per change of one in x. In this case you can subtract to find it increases by 3 each time. Subtract three from the y value at one to get the y value at 0 or the y intercept
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A culture of bacteria that initially contained 2000 bacteria has a count of 18000 after 2 hrs. Determine the function that expre
melomori [17]

Answer:

y= 8000x + 2000

Step-by-step explanation:

to find the formula we can use the points given in the question:

the slope:

to get the slope we can take the 2 points, (0,2000) and (2,18000) where x values are time and y values are bacteria

now using slope-intercept form we can get \frac{18000-2000}{2-0} which gives a slope of 8000 meaning for each hour there are 8000 new bacteria

intercept:

since we start with 2000 bacteria we know this is the y intercept so when x is 0

formula:

y=8000x + 2000

8 0
2 years ago
Divide the Unit Rate $51 in 6 Hours ?
Lena [83]
Hello.

To find the unit rate, we need to divide 6 by 51.

51/6 = 8.50

Kevin earns $8.50 per hour

Have a nice day
8 0
3 years ago
How do you solve S=2(3.14)rh solve for r
timama [110]
Divide both sides by r. Then multiply each side by s.

Your final answer should be r=2(3.14)sh
6 0
3 years ago
Read 2 more answers
Consider the function f(x)=x3+4x2+2. find the points where the tangent line is horizontal.
lions [1.4K]
Thinking about the graph of f(x), the rate of change is zero whenever there is an extremum.

First, differentiate f(x)

f'(x)=3x^2+8x

Next, find the zeros of f'(x) by factoring.

x(3x+8)=0  \\ x= \frac{-8}{3},x=0

Now, we substitute these x-values into the original equation to find the coordinates. 

(-2.667, 11.481), (0, 2)
6 0
3 years ago
Select the expression that is equivalent to (x-3)^2
krek1111 [17]

Answer:

x² - 6x + 9

Step-by-step explanation:

(a - b)² =a² - 2ab + b²

a = x and b = 3

(x - 3)² = x² - 2*x*3 + 3²

           = x² - 6x + 9

4 0
3 years ago
Read 2 more answers
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