A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his experiment with 200 bacteria that grow at a rate of 2% per hour. He will check on the bacteria every 7 hours. How many bacteria will he find in 7 hours? Round your answer to the nearest whole number.
The population of the bacteria after 7 hours is 230 bacteria.
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of bacteria after x hours.
Given that he starts his experiment with 200 bacteria, hence
a = 200
The bacteria grow at a rate of 2% per hour, hence:
b = 100% + 2% = 1.02
The exponential equation becomes:
y = 200(1.02)ˣ
After 7 hours:
y = 200(1.02)⁷ = 230
The population of the bacteria after 7 hours is 230 bacteria.
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Solve the following system of equations.
x - 2y = -2
7x - 3y = 19
Answer:
Step-by-step explanation:
x-2y=-2 x=2y-2
7x-3y=19
substitute x with 2y-2
7(2y-2)-3y=19 14y-14-3y=19 11y=33 y=3
substitue 3 for y
x-2(3)=-2 x-6=-2 x=4
x=4, y=3
btw if theres more similar questions like this use symbolab a website that solves and show you step by step in solving equations
really useful
Pls help I’ll brainlest ASAP
Which expressions represents "2 less than the product of 5 and a number"?
A) 5n - 2
B) 5/n - 2
C) 2 - 5n
D) 5 + n - 2
Answer:
Option A is correct.Step-by-step explanation:
Let's read the part of the question carefully.(2 less than the product of 5 and a number)
The phrase "2 less" means subtracting 2 from the minuend."the product of 5 and a number" means multiplication of 5 and a number (5x)Conclusion:
Therefore:
Our expression is 5n - 2Hoped this helped.
[tex]GeniusUser[/tex]
- Draw A' the symmetric of A with respect to point O
- Draw A' the symmetric of A with respect to (d)
Answer:
how am i supposed to answer this? draw a line lol
Step-by-step explanation:
The variables x and y are directly
related. When x=15, y = 6. What is the
value of x when y = -4?
What is the slope of this line?
a.−23
b.−13
c.13
d.23
Answer:
D
Step-by-step explanation:
I think you meant to put the answers as a fraction
Answer:
if there were slashes in between every answer, the answer would be
D. 2/3
Step-by-step explanation:
m = y2-y1 / x2-x1 (slope formula) ⋅the two points i used were: (0,-3) and (3,-1)
m = -1-(-3) / 3-0 (plug in the points)
m = -1+3 / 3-0
m = 2/3 (Simplify to get your answer)
Does a quadratic polynomial have a degree of to
Answer:
Idioet duh it does.
Step-by-step explanation:
4x+4 =
What is the answer to this please help
Answer:4(x+1)
Step-by-step explanation:
4x+1
Marcus sleeps 60 hours a week this is 5 times as many hours as he plays chess. How many hours a week does Marcus play chess?
Answer: 12 hours a week
Step-by-step explanation:
60/5 = 12
Since he plays chess 5 times the amount of time he sleeps, simply divide the amount of time he sleeps by 5.
Correct me if I am incorrect.
Find x, y
Please try to explain how you did it
a. Morning rain showers dropped 1/3 of an inch of rain. Later that day, another storm passed through and dropped 1/8 inch of rain. How much more rain fell in the morning than in the afternoon?
Answer: 5in
Step-by-step explanation:
1/3x8/8=8/24
1/8x3/3=3/24
8-3=5
solving for G
goal is to isolate the variable by undoing in the reverse of the order of operation.
4=2(3g+2)
Answer:
g = 0
Step-by-step explanation:
4 = 2(3g + 2) ← divide both sides by 2
2 = 3g + 2 ( subtract 2 from both sides )
0 = 3g , then
g = 0
Please help me understand how I would pick the correct formula for step 1 for the question in the image? I am really confused.
Answer:
The first option
Step-by-step explanation:
We are doing height above shadow height. Since the telephone poll is 40 feet high with a 32 feet shadow, it is 40/32. We know the sign casts a 12 1/2 shadow, so this will be our denominator. h is our unknown, so we will have h / 12 and a half as our second fraction for our ratio.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Help me solve this please
Answer:
2/5-1/10 = 3/10
1/5+7/10 = 9/10
Step-by-step explanation:
4/10-1/10 = 3/10
2/10+7/10 = 9/10
MODELING REAL LIFE A charm bracelet costs $65, plus $25 for each charm. The equation -25x+y=65 represents the cost y (in dollars) of the bracelet, where x is the number of charms.
a. Graph the equation.
b. How much does a bracelet with three charms cost?
Answer:
B = $140
Step-by-step explanation:
for part A, the graph is linear line with a Y intercept at (0,65) so this means that if you were to have no charms it would cost 65 dollars, since the y axis represents cost. then for every 1 increment on the x axis (number of charms) the Y value increases by 25 so the slope is [tex]\frac{25}{1}[/tex]
we also can conclude that there is no negative domain since you cannot have negative charms, and the range begins at 65 since you cannot get a bracelet for less money
for part B, y=25x+65
so for three charms, x is represented as 3 so y=25(3) +65 which is 75+65=y= $140
Which of the following equations has no solution?
3x + 1 = 3x + 1
3x+1= 3x + 2
3x+1= 2x + 1
Answer:
3x+1=3x+1
0x=0
no solution
3x+1=3x+2
0×=1
no solution
3x+1=2x+1
x=0
X IS THE SOLUTION BTW
A bakery sells two kinds of baked goods: cookies and pie slices. A cookie costs 12 ani a pe sites $4. In one day, the store sold 34 baked goods for a total of $114. How many cookies die itey sele? How many pie slices did they sell? Write a system of equations and solve.
Answer:
uhhhhhhhhhhhh what does this say?
During a 12-hour car ride, each of 4 family members gets to choose the music for an equal amount of time. Write an equation, where t is time, to find out how long each member of the family is in charge of selecting the music.
For an experiment, the temperature of a liquid must stay above 60.5°F. The starting temperature of the liquid is 88.6°F. It is placed in a cooler, which lowers its temperature 2°F each minute.
How many minutes can the liquid can stay in the cooler?
Select from the drop-down menus to correctly complete the statement. at least 14.05 /more than 14.05/ fewer than 14.05 /at most
14.05 at most
If it is saying at least, than it would be in the cooler for longer than it should be and drop below 60.5
If saying more than 14.05, it is basically the same thing where it is inside the cooler for longer than it should be
If saying at most, that means that 14.05 is the max it would be in the cooler and keeps the liquid above 60.5
Answer: im late but here you go
12/2/22
Step-by-step explanation:
Distributive property to remove parentheses 4(3+w)
Answer:
12+4w
Step-by-step explanation:
Multiply 4 by both sides
41% of what number is 77
Answer: 31.57
Step-by-step explanation:
41% of 77 is what?
41% of 77 is Y
Equation: P% * X = Y
Solving our equation for Y
Y = P% * X
Y = 41% * 77
Converting percent to decimal:
p = 41%/100 = 0.41
Y = 0.41 * 77
Y = 31.57
Solve.
Write an expression for the total cost (in dollars) of Sam's purchase if he buys x candies costing 39 cents each and y bars of chocolate cost $1.25 each.
a. (0.39 + x) ∙ (1.25 + y)
b. 0.39x + 1.25y
c. 1.64(x + y)
d. 39x + 1.25y
Answer:
the answer to the question is c
I need help on this question
Answer:
Go download CameraMath on playstore
Justin is buying tickets to a concert online from Ticketmaster. He buys 3 tickets that all have the same price.
There is also a service charge, since he is buying it from Ticketmaster, for $5 per ticket. The total cost of his
order was $138.
Answer:
I don't know if your asking for the price for each ticket, but if you are, it's $41 each.
Step-by-step explanation:
5 x 3 = 15(price of the service charge)
138 - 15 = 123(price with out service tax)
123/3 = 41
Hope this was helpful
The sum of the first 15 terms of a geometric sequence with 7 as the first term and a common ratio of -3 is __________.
Step-by-step explanation:
the formula for the sum of the first n terms of a geometric sequence is
Sn = s1(1 - r^n)/(1 - r)
with r being the common ratio and s1 is the first term.
so,
S15 = 7×(1 - (-3)¹⁵)/(1 - -3) = 7×(1 - -14,348,907)/4 =
= 7×14,348,908/4 = 7×3,587,227 = 25,110,589
in 2011 i sold 105276 tickets.
This is 7% less then the number of tickets i sold in 2018.
How many tickets i sell in 2018?
And
Show a check of your answer.
Answer:
sorry I don't know the answer of this
Help help help math math
Answer:
Yes, it is a function
Step-by-step explanation:
A function is determined if each input, or x-value has 1 unique output, or y value. No x-value has more than 1 output here, so it is a function
The owner of a local shop made a list of how much she pays her employees by the hour.
Which measure of central tendency would the store owner use if she wanted to argue that the employees are paid well?
A. the mean
B. the median
C. the mode
D. the range
GIVING BRAINLIST
Answer: The answer is D
Step-by-step explanation:
I took the quiz
Solve for g. Make sure to use scrap paper to show your work.
( 144 + 6 x 8 ) ÷ 3 = g
192
64
48
NO NOT PUT THIS IN A FILE
Answer:
64
Step-by-step explanation:
P E D M A S
() ² ÷ × + -
6 x 8 = 48
114 + 48 = 192
(192) ÷ 3 = g
192 / 3 = 64
g = 64