Answer:
(a) An expression for the number n of bacteria after t hours is n(t)=700*[tex]3^{t}[/tex]
(b) The rate of growth of the bacteria population after 1.5 hours is 3,996 number of bacteria per hour.
Step-by-step explanation:
An exponential function is one in which the independent variable x appears in the exponent and has a constant a as its base. Its expression is:
f(x)=aˣ
being a real positive.
When 0 <a <1, then the exponential function is a decreasing function and when a> 1, it is an increasing function.
An exponential function allows us to refer to phenomena that grow faster and faster, such as population growth.
In that case, the formula used to model the growth of a population is given by:
P(t)=P0*[tex]a^{t}[/tex]
where the function P (t) grows exponentially and represents the quantity of the population at time t; a represents the constant of growth or decrease and P0 represents the initial population at time zero.
In this case:
P0=700a=3Replacing, you get:
P(t)=700*[tex]3^{t}[/tex]
An expression for the number n of bacteria after t hours is n(t)=700*[tex]3^{t}[/tex]
The derivative of this function P (t) is:
n'(t)=700*ln(3)*[tex]3^{t}[/tex]
and reflects the growth rate of the bacteria population.
So, the rate of growth of the bacteria population after 1.5 hours is:
n(1.5)=700*ln(3)*[tex]3^{1.5}[/tex]
Solving, you get:
n(1.5)≅ 3,996
The rate of growth of the bacteria population after 1.5 hours is 3,996 number of bacteria per hour.
Which shapes have parallel sides? Choose ALL the correct answers.
Answer:
the green one for sure..
Step-by-step explanation:
gets paid 15 per hour what is the minumim number of hours that joseph must work per week to make $450 per moth? (1moth=4weeks)
Answer:
Minimum of 7 1/2 hours ( 7 hours, and 30 minutes )
Step-by-step explanation:
Rate = money / time
time = money / rate
_____________
1 month = 4 weeks
1 week = 7 days
1 day = 24 hours
1 hour = 60 minutes
_____________
$15 / 1 hour = 1 day / 24 hours = 1 week / 7 days = 1 month / 4 weeks = $450 / 1 month.
$15 / 1 hour / 1 week = $450 / 1 month
$15 / 1 hour / 1 week = $450 / 4 weeks
$15 / 1 hour / 1 week = $112.5 / 1 week
$15 / 1 hour = $112.5
112.5 / 15 = 7.5 hours.
The store buys easels for 10.20 each he marks up the cost by 75% to get the selling price what is the selling price of each easel? show your work
there are 4 circles and 16 squares. What is the simplest ratio of circles to total shapes?
HELP ME PLEASEEEE!!
High School is selling Valentine's Day gifts as a fundraising event. One long stemmed rose costs $3.00 while one long stemmed carnation costs $1.50. If 50 orders were placed and they totaled $195, how many roses and carnations were ordered?
Answer:
11 roses and 12 carnations
Step-by-step explanation:
(11*3)+(1.50*3)=195
There were 5 ice cream cones for every 3 brownies sold at the ice cream shop. If there were 24 brownies sold, how many ice cream cones were sold?
Answer:
THe answere is 40
Step-by-step explanation:
If 24 brownies are sold, the number of ice cream cones sold is 40.
A linear equation is in the form:
y = mx + b;
where y, x is variable, m is the rate of change and b is the y intercept.
Let y represent the number of ice cream cones and x represent the number of brownies sold.
Since there were 5 ice cream cones for every 3 brownies sold at the ice cream shop. Hence:
y = (5/3)x
If 24 brownies are sold:
y = (5/3)x
y = (5/3) * 24 = 40
If 24 brownies are sold, the number of ice cream cones sold is 40.
Find out more at: https://brainly.com/question/13911928
what is 12/$0.89 because i need help like now. So please give me the right answer this time cause last time i failed because i asked brainly.
Answer:
$13.4 is the answer
Step-by-step explanation:
PLEASE MARK BRAINLIEST
Someone please help with letter B
Answer:
No because the coefficiant is different for each pair of mothers and daughters
Step-by-step explanation:
5.
Write an algebraic expression for the verbal expression "five times a number minus eight.”
A 5x + 8
B 8x - 5
C 5x - 8
D 5 + X - 8
the value of the expression when t-32 degrees is what degrees
Complete Question:
The temperature doubled. Evaluate when t = 32 degrees.
The value of the expression when t = 32 degrees is degrees
Answer:
64 degrees
Step-by-step explanation:
Given
[tex]t = 32[/tex]
Required
Determine the value of t when it doubles
To do this, we simply multiply the current temperature by 2.
So:
[tex]t = 32[/tex] becomes
[tex]t = 32 * 2[/tex]
[tex]t = 64[/tex]
Hence, the temperature when it doubles is 64 degrees
As the standard deviation of outcomes for Martin Products increases, investing in Martin Products becomes riskier because:__________a. the range of outcomes having some probability becomes widerb. an outcome at or near the expected return of 10% becomes less likelyc. although the chances of some big gains increase, the chances for some big losses also increase.d. all of the above reasonse. none of the above reasons
Answer:
c. although the chances of some big gains increase, the chances for some big losses also increase.
Step-by-step explanation:
In the Martin Products, there is a probability that the investment could either succeed or fail. The standard deviation of the outcome carried out to determine the risks involved in investing in his products helps in trying to offer the investors the clearer picture of the risks involved.
Answer:
d. all the reasons above
oredr -3/4, 3/8, -1 1/8, - 1/2 from least to greatest.
Answer: -1 1/8 -3/4 -1/2 3/8
390% of 120 my brain is turning to mush right now... i have a mental capacity of a 2nd grader
Answer:
Your answer is 468
Step-by-step explanation:
390% of 120 = 468
don't know what I was thinking
Leaving my child behind
Now I suffer the curse
Knowing now I am blind
With all this anger, guilt and sadness
Coming to haunt me forever
I can't wait for the cliff at the end of the river
Is this revenge I am seeking
Or seeking someone to avenge me
Stuck in my own paradox
I wanna set myself free
Maybe I should chase and find
Before they'll try to stop it
It won't be long before I'll become a puppet
It's been so long
Since I last have seen my son
Lost to this monster
To the man behind the slaughter
Since you've been gone
I've been singing this stupid song
So I could ponder
The sanity of your mother
I wish I lived in the present
With the gift of my past mistakes
But the future keeps luring in like a pack of snakes
Your sweet little eyes
Your little smile, is all I remember
Those fuzzy memories mess with my temper
Justification is killing me
But killing isn't justified
What happened to my son, I'm terrified
It lingers in my mind
And the thought keeps on getting bigger
I'm sorry my sweet baby
I wish I've been there
It's been so long
Since I last have seen my son
Lost to this monster
To the man behind the slaughter
Since you've been gone
I've been singing this stupid song
So I could ponder
The sanity of your mother
bro this is so sad....
♥ お力になれて、嬉しいです！♥
Classify the sentences based on whether they describe an investing mistake or a good investment decision.
Answer:
What sentences?
Step-by-step explanation:
Can you please add a picture, a sentence(s), an article, or any source so we can actually answer them for you??????
Answer:
Investing mistake :
Silvia successfully avoids investing
in unfamiliar foreign companies.
Ryan invests only in the stock of
companies he has complete faith in.
Martha decides to hold her
investments despite their poor
market performance over
three years.
Good investment decision:
Sanjay invests in companies in
a variety of industries.
Ricardo starts investing in index
funds with the aim of building
his wealth steadily over time.
Sabina invests small amounts in
stocks, bonds, and real estate.
Step-by-step explanation:
Got it right in edmuntum :)
Solve the given system of equations utilizing either the substitution or addition method.
Answer:
Value of x=4 and y=-13/3
Step-by-step explanation:
We need to solve the systems of equations
[tex]5x+3y=7 \ and \ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}[/tex]
Solving using substitution method:
Let:
[tex]5x+3y=7---eq(1) \\ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}---eq(2)[/tex]
Find value of x from eq(1) and put in eq(2)
[tex]5x+3y=7\\5x=7-3y\\x=\frac{7-3y}{5}[/tex]
Put value of x in eq(2)
[tex]\frac{3}{2}(\frac{7-3y}{5}) -\frac{3}{4}y =\frac{37}{4}\\\frac{21-9y}{10} -\frac{3}{4}y =\frac{37}{4}\\Taking \ LCM\\\frac{21*2-9y*2-3y*5}{20} =\frac{37}{4}\\\frac{42-18y-15y}{20} =\frac{37}{4}\\42-33y=\frac{37}{4}*20\\42-33y=185\\-33y=185-42\\-33y=143\\y=\frac{143}{-33}\\y=-\frac{13}{3}[/tex]
Now, finding value of x by putting value of y in eq(1)
[tex]x=\frac{7-3y}{5}\\x= \frac{7-3(-\frac{13}{3}) }{5}\\x=\frac{7+13}{5}\\x=\frac{20}{5}\\x=4[/tex]
So, Value of x=4 and y=-13/3
please help me im so lost
Answer:
5x + 1
Step-by-step explanation:
f(x) = 3x + 2
g(x) = - 2x + 1
f(x) - g(x) = 3x + 2 - ( - 2x + 1 ) = 3x + 2 + 2x - 1 = 5x + 1
Ezra has 21 chickens in a pen. He plans on adding 3 chickens every month to the pen. Based on this information, which representation shows this relationship between the number of chickens in the pen, y, and the number of months that have passed, x?
Answer:
Linear graph
y = 3x + 21
Step-by-step explanation:
Lilly was shopping and saw the following prices on different packages of the same item
Answer:
What's the question?
Step-by-step explanation:
Evaluate the Expression: 8r - 4w - 9 when r = 7 and w = 4
Answer:
= 31
Step-by-step explanation:
So first plug in the numbers 8(7) - 4(4) - 16
then solve
56 - 16 - 9 = 31
Answer:
31
Step-by-step explanation:
8r - 4w - 9 when r = 7 and w = 4.
~Substitute
8(7) - 4(4) - 9
~Simplify
56 - 16 - 9
~Subtract
40 - 9
~Subtract
31
Best of Luck!
Which of the expressions are equivalent to the one below? Check all that
apply.
16. (1 + 3)
A. (16. 1) + (3.16)
B. (3 + 1). 16
D C. (16 + 3). 1
D. (161) + (163)
so A & B = 64 .... so yeah right A & B are the correct answers
by the way i multiplied for the "."
Please help, this chapter was on derivatives...
================================================
Work Shown:
Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)
s^2 = x^2+y^2
s^2 = 15^2+20^2
s^2 = 225+400
s^2 = 625
s = sqrt(625)
s = 25
-----------
Now we can apply the derivative to both sides to get the following. Don't forget to use the chain rule.
s^2 = x^2 + y^2
d/dt[s^2] = d/dt[x^2 + y^2]
d/dt[s^2] = d/dt[x^2] + d/dt[y^2]
2s*ds/dt = 2x*dx/dt + 2y*dy/dt
2(25)*ds/dt = 2(15)*5 + 2(20)*(10)
50*ds/dt = 150 + 400
50*ds/dt = 550
ds/dt = 550/50
ds/dt = 11
-----------
Side note: The information t = 40 is never used. It's just extra info.
Whoever answers this first gets brainliest
Pls help ASAP
Answer:
Terminating goes to 3
Repeating goes to 4
Rational goes to 1
Irrational goes to 2
Answer:
1. Rational Number
2. Irrational Number
3. Terminating Decimal
4. Repeating Decimal
Step-by-step explanation:
A Rational Number can be written as a ratio of two integers. For example, as a simple fraction. That leaves us for the answer to the second one as irrational. To terminate means to end, so a terminating decimal is a decimal that does not go on forever. Whereas, a repeating decimal continues repeating forever (or indefinitely).
I would like to apologize in advance if any of these were incorrect.
5x-3(x-2)-x
Helppppp I just need you to simplify and show your work plz =)
Answer:
x+6
Step-by-step explanation:
5x-3(x-2)-x
5x-3x+6-x
x+6
(GIVING BRAINLIEST AND EXTRA POINTS!!!)
Solve the equation using equivalent fractions. SHOW YOUR WORK.
6/10 - 1/5 + 1/4
Answer:0.65
Step-by-step explanation:
Firstly, we convert the fractions into decimals:
6/10=0.6
1/5=0.2
1/4=0.25
We then get : 0.6 - 0.2 + 0.25
0.6-0.2=0.4
0.4+0.25=0.65
is this how its spelled: queue
i mean like for example "queue the music" but idk if thats how you spell queue
Answer: You're right
Step-by-step explanation:
write the slope - intercept form of the equation. PLEASE HELP. i will mark brainliest
Answer:
Step-by-step explanation: To find the equation of the perpendicular line, take the reciprocal of the slope with the opposite sign.
For example, the reciprocal of 4/3 is 3/4 and if it's negative, the opposite is positive.
The reciprocal of 2 is 1/2. and if it's positive, the opposite is negative.
The reciprocal of any number or fraction is whatever you multiply it by to get 1. 4 times 1/4 is 1 5/4 times 4/5 is 1. What about 1 ? 1 times 1 is 1. So one is its own reciprocal!
I hope this helps. (we're not supposed to give answers to t e s t s.)
Help me please thanks :)
Answer:
I think its Distributive Property
Step-by-step explanation:
Hope this helped
what would be the value of m?
Answer:
126°
Step-by-step explanation:
First you need to find the 3rd inside angle.
72+54+x=180
126+x=180
x=54
Once you have the 3rd inner angle, you can take 180 and subtract it from it so you would have 180-54 which is 126
Which statement is true regarding the functions on the
graph?
° f(2) = g(2)
° f(0) = g(0)
° f(2)= g(0)
° f(0) = g(2)
Answer:
f(2) = g(2)
General Formulas and Concepts:
Alg I
Reading a Cartesian PlaneIdentifying CoordinatesSolutions of systems of equationsStep-by-step explanation:
We see from the graph that f(x) and g(x) intersect at x = 2. Therefore, the point at x = 2 would be equivalent in both graphs/be a solution to both equations.
Therefore, f(2) must equal g(2), as they intersect each other at that point and have the same value of 0.
Answer: A f(2) = g(2)
Step-by-step explanation: look at the picture