Given:
The lake started with only 4 square feet infected.
The bacteria are growing by a factor of 3 every hour.
To find:
The domain for this situation.
Solution:
Initial value = 4 square feet
Growth factor = 3
Using exponential growth model, we get
[tex]y=ab^t[/tex]
where, a is initial value and b is growth factor.
So, square feet of bacteria after t hours is
[tex]y=4(3)^t[/tex]
Here, domain is set of values of time and range is square feet of bacteria.
Above equation is defined for all values of t but we know that, time cannot be negative.
As the relationship between hours and square feet of bacteria is continuous, therefore the value of t can be any real number greater than or equal to 0.
[tex]Domain=\{t|t\in R\text{ and }t\geq 0\}[/tex].
Therefore, the domain is [tex]\{t|t\in R\text{ and }t\geq 0\}[/tex].
Please help!
Theresa's Book Barn sold $10,347 worth of books during September. In October, their sales were $12,115. How much higher were Theresa's book sales during October than in September? Explain how you got your answer.
Answer:
awnser is 1718
Step-by-step explanation:
Answer:
$12,115 - $10,347 = $1,768. the difference is $1,768 this is how much more in sales they had in October
Write a compound inequality whose solution consits of { -6, -5,-4,-3,-2,-1,0,1,2}
Answer:
[tex]-6\leq x \leq 2[/tex]
Step-by-step explanation:
The simplest one is
[tex]-6\leq x\leq 2\\\\x\in N[/tex]
if you want a more complex one you will eventually get the simple
a performer excepts to sell 5,000 tickets for an upcoming concert. They want to make a total of $311,000 in sales from these tickets.
how much well they make if they sell 7,000 tickets ?
please help me!!! i need help!!!
Answer:
The numbers r really blurry
Step-by-step explanation:
oof
What is the equation of a line PARALLEL to y = 1/3x – 4 that passes through (9, 8)?
Answer:
[tex]y=\frac{1}{3} x+5[/tex]
Step-by-step explanation:
We know that since the equation of the line that we need to find has to be parallel, it must have the same slope. Also, the slope-intercept formula is:
[tex]y=mx+b[/tex]
Plugging in the values we know:
[tex]8=\frac{1}{3} (9)+b[/tex]
We solve for [tex]b[/tex] and get:
[tex]b=5[/tex].
So, the equation of our new line must be:
[tex]y=\frac{1}{3} x+5[/tex]
The temperature on Monday was 14 degree Celsius. On Tuesday the temperature decreased by 5 degree. On Wednesday, the temperature decreased another 10 degree. On Thursday the temperature increased by 8 degrees. What was the temperature at the end of the day on Thursday?
Answer:
7 degrees
Step-by-step explanation:
The temperature in Monday was 14 degrees
On tuesday the temperature decreased by 5 degrees
On Wednesday it decreased by 10 degrees
On thursday the temperature increased by 8 degrees
Therefore the temperature at the end of the day on Thursday can be calculated as follows
= 14 - 5 - 10 + 8
= 7
Hence the temperature at the end of the day on Thursday is 7 degrees
What is the slope of the line that passes through the points (-3, -3)(−3,−3) and (-18, -23) ?(−18,−23)? Write your answer in the simplest form.
Answer:
Let's see what to do buddy...
Step-by-step explanation:
_________________________________
Step (1)
To find the slope of linear functions using two points, we have the following equation :
[tex]slope = \frac{y(b) - y(a)}{ x(b) - x(a) } \\ [/tex]
Where a and b are two point of the function.
_________________________________
Step (2)
Well now I want to choose a name for the given points :
a = ( -3 , -3 ) ••••••••• b = ( -18 , -23 )
_________________________________
Step (3)
It's time to put the the coordinates in the above equation :
[tex]slope = \frac{ - 23 - ( - 3)}{ - 18 - ( - 3)} \\ [/tex]
[tex]slope = \frac{ - 23 + 3}{ - 18 + 3 } \\ [/tex]
[tex]slope = \frac{ - 20}{ - 15} \\ [/tex]
Negatives simplified :
[tex]slope = \frac{20}{15} \\ [/tex]
The face and denominator are reduced to five :
[tex]slope = \frac{4}{3} \\ [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Graph
Y=-1/2x+4
Y=3x+11
I need help what is y2 + x + y when x=−3 and y=−4.
9
y^2= -4^2 = 16
16+x = 16-3 = 13
13+y = 13-4 = 9
Answer:
9
Step-by-step explanation:
y^2 + x + y
x = -3
y = -4
-4^2 + -3 + -4
16 + -3 + -4
13 + -4 = 9
Hope I helped :)
Please consider Brainliest :)
What is the expression in factored form?
x^2-6x+8
Answer:
coefficient of the x-term, that is - 6
the factors of + 8 which sum to - 6 are - 4 and - 2
⇒
x
2
−
6
x
+
8
=
(
x
−
4
)
(
x
−
2
)
Step-by-step explanation:
Answer:
there
Step-by-step explanation:
tandard form:
x2 − 6x + 8 = 0
Factorization:
(x − 2)(x − 4) = 0
Solutions based on factorization:
x − 2 = 0 ⇒ x1 = 2
x − 4 = 0 ⇒ x2 = 4
Extrema:
Min = (3, −1)
A suite in a deluxe hotel is rented for 1, 2, or 4 days. The
hotel charges a $100 deposit and $100 per day. Identify the
function that describes this situation and its domain and
range.
Answer:
f(d) = 100 + 100d
D = {1, 2, 4}
R = {$200, $300, $500}
Step-by-step explanation:
you just gotta look and remember about the first 100 day depossit which would make the prices go up
help thanks
If you troll u get banned
Answer:
i believe it is d as the angle could also be a right angle
Step-by-step explanation:
Answer:
Your mom :))))))
ASAP MULTIPLE CHOICE WILL MARK BRAINLIEST
Identify the scale factor used to graph the
image below.
determine the scale factor
2
4
-4
1/4
Answer:
answer is 4
Step-by-step explanation:
What’s the answer to this?
Answer:
92
Step-by-step explanation:
they all add up to 180 so you subtract 88 from it
mark me brainliest because i know it is right
1 over 2 rational or irational
Answer:
Rational
Step-by-step explanation:
I hope this helped!
Answer:
the answer is rational
Help needed ASAP will give you BRAINLIEST and 5 STARS RATE
Answer:
the 3 one
Step-by-step explanation:
the occurrence of the same letter or sound at the beginning of adjacent or closely connected words.
Hope u do good on ur test or whtevr this is!!!!
Carbohydrates are like identification badges. Cells that have different membrane carbohydrates do different ________________. The immune system uses the carbohydrates to _____________________ that your cells belong to ________ and are not ______________________, ____________________, or other foreign cells.
We have that for the Question, it can be said that
Carbohydrates are like identification badges. Cells that have different membrane carbohydrates do different Duties The immune system uses the carbohydrates to detect that your cells belong to you as living and are not foreign organism or other foreign cells.
From the question we are told
Carbohydrates are like identification badges. Cells that have different membrane carbohydrates do different ________________. The immune system uses the carbohydrates to _____________________ that your cells belong to ________ and are not ______________________, ____________________, or other foreign cells.
Generally
Carbohydrates performs different functions in the body as it provides energy stores energy and so much moreCarbohydrates performs a unique function to the immune systems as it is used as deduction mechanism.The immune system makes use of ones carbohydrates to identify its cellsAs the body may be exposed to some foreign bodies.And the cells may need to be told apart.Therefore
The complete statement will be
Carbohydrates are like identification badges. Cells that have different membrane carbohydrates do different Duties The immune system uses the carbohydrates to detect that your cells belong to you as living and are not foreign organism or other foreign cells.
For more information on this visit
https://brainly.com/question/1641336
Rachel created 215 pairs of earrings. Material for the earrings were $0.25 a pair. At a craft fair rachel sells all 215 pairs of earrings and ends up with $3272.30. After factoring out the cost of materials how much money did rachel make on 1 pair of earrings.
Answer: 14.97 per pair of earrings
Step-by-step explanation:
12 to anyone who tells me all the correct answers
2ND,5th,last i need 20 charcters so im just gonna type hdhdhdhdxjhd
21.50 for 4 pounds of lunch meat or $15.10 for 3 pounds of lunch meat
Jenna found three solution to a linear equation she graphed them, but they don't lie in a straight line. What errors could jenna have made? Explain.
Answer:
A system of linear equation could only have 1 solution. This is because the straight lines will only have to meet, cross, or intersect each other once.
A system of linear equation could only have 1 solution. This is because the straight lines will only have to meet, cross, or intersect each other once.
There are many different methods in arriving to the final answer. However, errors cannot be perfectly avoided. One of these errors to mistakenly identify equations as linear. It is important that we know that the equations we are dealing with are of exact or correct characteristics.
Also, if she had used substitution method, she might have mistakenly taken the value of one variable for the other.
“Find each percent of change. Round to the nearest whole percent if necessary. State whether the percent of change is an increase or a decrease.”
30 inches to 24 inches..
PLZ EXPLAIN !! :)
Answer:
20% decrease
Step-by-step explanation:
step one- subtract
30-24=6
step 2 is divide
amount of change from step one÷beginning val
6/30=.2
convert to %
.2=20%
it is a decrease as the value 30 went down to 24
There are 7,800,000,000 people on planet Earth. The average mass of a human is
approximately 130 pounds. What is the approximate mass of all humans on planet Earth?
Workspace and Equation: Launch Problem
Answer:
This is an equation uncalculatable because it is too big.
Step-by-step explanation:
7,800,000,000 x 130 = error
ASAP PLEASE HELP WILL MARK BRAINLIEST
Rotate the point A (-4, 5) 270°about the origin. Plot A' on the grid.
Answer:
Clockwise 270° around the origin: (-5,-4)
Counterclockwise 270° around the origin: (5,4)
Step-by-step explanation:
Clockwise
A(x,y) -> A'(-y,x)
Counterclockwise 270° rotation rule:
A(x,y) -> A'(y,-x)
I NEED HELP, WILL GIVE BRAINLIEST TO CORRECT ANSWER!
Polygon FLAME has coordinates (−6,2), (−3,4), (5,1), (1, −4), and (−2, −5). What is the perimeter of Polygon FLAME? Approximate all calculated values to the tenths place.
Step-by-step explanation:
the answer it gave me is 29.8.
What is the value of x in the equation 0.03x = 1.5?
Answer:
x = 50
Step-by-step explanation:
Divide each side by 0.03 to cancel out the 0.03 next to x. It should now look like this: x = 50I hope this helps!
Answer:
0.02
Step-by-step explanation:
Convert 76.4% to a fraction in simplest form and a decimal.
Answer:
In Fraction, it is 76 1/25
In decimal, it is 76.04
Step-by-step explanation:
can someone please help me
Answer:
x=12 the other answer is 144.
Step-by-step explanation:
You set the expressions equal to each-other which gives you what x equals. then you substitute that in the A expression which gives you 144
How far would the cheetah have traveled in the next 8 minutes? Show how you arrived at
your answer.
Answer:99 feet
Step-by-step explanation:
A festival charges $3 for child admission and $5 for adult admision. At the end of the festival they have sold 779 tickets for a total of $2771. Set up and solve a system of equations to find how many child tickets and how many adult tickets were sold.
Answer:
562 child tickets were sold
217 adult tickets were sold
Step-by-step explanation:
A festival charges $3 for children admission and $5 for adult admission
At the end of the festival they have sold a total number of 779 tickets for $2771
Let x represent the child ticket
Let y represent the adult ticket
x + y= 779..............equation 1
3x + 5y= 2771..........equation 2
From equation 1
x + y = 779
x= 779 -y
Substitute 779-y for x in equation 2
3x + 5y= 2771
3(779-y) + 5y= 2771
2337 - 3y + 5y= 2771
2337 +2y= 2771
2y= 2771 -2337
2y = 434
y = 434/2
y = 217
Substitute 217 for y in equation 1
x + y= 779
x + 217= 779
x = 779-217
x= 562
Hence 562 child tickets were sold and 217 adult tickets were sold