1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vlad1618 [11]
2 years ago
9

To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let

t be the number of hours since the start of the study. Let y be the number of bacteria cells. Write an exponential function showing the relationship between y and t.​
Mathematics
1 answer:
Rudiy272 years ago
7 0
The function that models exponential growth is:

P(t) = P0*(1 + r)^t, where

P0 = P(0) is the initial value of P

r is the growth rate as a decimal

In our case we have:

P(0) = 2800

r = 0.035 or 3.5%

P(t) = 2800*(1 + 0.035)^t

P(t) = 2800*(1.035)^t

The same exponential function written using y and t is:

y = 2800*1.035^t.

Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria
You might be interested in
Without sketching the graph, find the x-intercepts and y-intercepts of the graph of the equation y=x²-x-6 What is/are the x-inte
oksian1 [2.3K]

Given the equation:

y=x^2-x-6

Let's find the x-intercepts and the y-intercepts of the graph.

• x-intercept:

The x-intercept are the points where the parabola crosses the x-axis. At x-intercept the y-value is zero.

To find the x-intercepts, substitute 0 for y and solve for x.

We have:

0=x^2-x-6

Rewrite the equation:

x^2-x-6=0

Factor the left hand side of the equation:

(x-3)(x+2)=0

Equate each factor to zero:

x - 3 = 0

Add 3 to both sides:

x - 3 + 3 = 0 + 3

x = 3

x + 2 = 0

Subtract 2 from both sides:

x + 2 - 2 = 0 - 2

x = -2

Therefore, the x-intercepts are:

3, -2

• y-intercept:

The y-intercept is the point where the parabola crosses the y-axis. The x-value at the y-intercept is zero.

To find the y-intercept, substitute 0 for x and solve:

\begin{gathered} y=0^2-0-6 \\  \\ y=-6 \end{gathered}

Therefore, the y-intercept is -6.

In point form:

x-intercept: (3, 0), (-2, 0)

y-intercept: (0, -6)

ANSWER:

A. The x-intercepts are (3, 0), (-2, 0)

A. The y-intercept is (0, -6)

5 0
1 year ago
Two produce stores sell watermelons by the pound.
Feliz [49]

Step-by-step explanation:

have a nice day sir...................

6 0
3 years ago
7<br> Find mzx.<br> X (2x + 22)°<br> (9x – 15)<br> Z<br> Y<br> (4x + 11)<br> W
kakasveta [241]

Answer:

Step-by-step explanation:

7 0
2 years ago
4^x+7 = 8^2x-3 Solve each equation showing work please
bazaltina [42]

Hi sorry for the messy writing ignore everything else written in pencil

6 0
3 years ago
25 − (8 − 4) ÷ 6 • 3=what plzzzz answer!<br> Will mark Brainliest!!!!
serg [7]
25 - (8-4) /6 *3 = 25 - 2 / 6 * 3
=25-1
=24 #


“/”= divide
“*”= multiply
4 0
3 years ago
Read 2 more answers
Other questions:
  • Jeff is responsible for buying supplies of food and medication for the dogs and cats at a local shelter. The food and medication
    15·1 answer
  • What is the are of this triangle? How do you find the area if you don’t know the height to use A=1/2(b) x h
    6·1 answer
  • Multiple similarity transformations are performed on a triangle. Which elements must be preserved? orientation side length angle
    15·2 answers
  • What is (14.2a + 9.8b) - (13.1b - 0.2a) - (3.7a + 4.8b) simplified
    10·1 answer
  • cleats and socks cost $50 total. if the cleats cost $49 more than the socks, how much do they each cost
    6·1 answer
  • The solutions to x^2-x-6&gt;0 is?
    5·1 answer
  • Luke puts $35 in his savings account every month. Use a calculator to find how much money he will save in a year.
    5·2 answers
  • Which of the following number(s) are rational? Select all that apply.
    10·2 answers
  • Lorne subtracted 6x3 – 2x + 3 from –3x3 + 5x2 + 4x – 7. Use the drop-down menus to identify the steps Lorne used to find the dif
    15·1 answer
  • Which of the following is equal to
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!