Answer:
1250 bacteria
Step-by-step explanation:
The formula for Exponential Growth is given as:
P(t)= Poe^rt
Where
P(t) = Population after time t
Po = Initial Population
r = growth rate
t = time
Hence, solving for the above question , we have to find Po
Making Po the subject of the formula
Po = P(t)/e^rt
Step 1
Find the Exponential growth rate
At the end of 3 h there are 10,000 bacteria.
Hence:
Po = 10000/e^3r.... Equation 1
At the end of 5 h there are 40,000 bacteria.
Po = 40000/e^5r..... Equation 2
Equating both equations together,
10000/e^3r = 40000/e^5r
Hence:
e^5r/e^3r = 40000/10000
e^2r = 4
Take the In of both sides
In (e^2r) =In 4
2r= In 4
r = In 4/2
r = In 2
Step 2
Solve for Po(Initial Population)
Using Equation 2
Po = 40000/e^5r..... Equation 2
r = In2
Po = 40000/e^5 × In 2
Po = 40000/2⁵
Po = 1250 bacteria.
Therefore, they was 1250 bacteria initially
can sum1 please help me brainliest award
Answer:
dont report this please im here to say
hope you figure it out the answer
Step-by-step explanation:
please :( ( T_T )
I have a feelings that it’s D but I am not sure. Please be honest and help!
Cynthia invests some money in a bank which pays 5% compound interest per year.
She wants it to be worth over £8000 at the end of 3years.
What is the smallest amount to nearest pound she can invest?
Answer:
£6,910.70
Step-by-step explanation:
The computation of the amount invested is given below:
As we know that
Amount = Principal × (1 + rate of interest)^number of years
£8000 = Principal × (1 + 0.05)^3
£8000 = Principal × 1.05^3
£8000 = Principal × 1.157625
So, the principal amount is
= £8000 ÷ 1.157625
= £6,910.70
Which property is shown here?
4 + (5 + 3a) = (4 + 5) + 3a
O Distributive Property
O Associative Property of Addition
O Commutative Property of Multiplication
O Commutative Property of Addition
O Associative Property of Multiplication
> Next Question
help math pls due in 5 min
Answer:
A.
Step-by-step explanation:
Q1 = 4.6
Q2 = 5.5
Q3 = 5.95
take care
-kitten
What is the function of the “whiskers” in a box and whisker plot?
A
They represent the interquartile range.
B
They link the interquartile range to the minimum and maximum.
C
They compare the lower quartile to the upper quartile.
D
They compare the median to the interquartile range.
Answer:
the answer should be c
Step-by-step explanation:
A Box and Whisker Plot (or Box Plot) is a convenient way of visually displaying the data distribution through their quartiles. The lines extending parallel from the boxes are known as the “whiskers”, which are used to indicate variability outside the upper and lower quartiles
Whiskers function in a box and whisker plot represent the interquartile range. Therefore, option A is the correct answer.
What is a box-and-whisker plot?A special kind of graph called a box and whisker plot is used to display the distribution of groupings of numerical data. It displays the median—the average value of the numbers in your data—as well as the lowest and greatest values as well as the quartiles, which divide the data into four equally-sized groups.
The whiskers are the two lines that extend outside the box and run from the minimum to the lower quartile (the box's beginning) and from the higher quartile (the box's end) to the maximum value.
Therefore, option A is the correct answer.
Learn more about the box-and-whisker plot here:
https://brainly.com/question/11859288.
#SPJ6
SOMEONE PLEASE HELP ME I WILL GIVE YOU A GOOD RATE AND MAKE YOU THE BRAINIEST I WILL ALSO GIVE YOU A GREAT REVIEW. PLEASE I AM PRAYING I NEED HELP!!!!!!!!!
Answer:
-9
Step-by-step explanation:
-18 divided by 3 is -6
(-15)-(-6) is -9
3)An inch is equal to about 2.54 centimeters. Write an expression that estimates the number of centimeters in "x" inches. Then, estimate the number of centimeters in 12 inches. Please help me with this one.
Answer: 2.54x is the expression
12 in. Is equal to 30.48cm
Step-by-step explanation: multiplying 12 and 2.54 is how you get 30.48 and the expression is just so you can figure out how to get 12 inches, you’re really just showing the formula you used. Hope this helped.
Choose the best system of equations to represent the situation and determine the labels for the variables:
A tree that is 2 feet tall is growing at a rate of 1 foot per year. A 6-foot tall tree is
growing at a rate of .5 feet per year.
Answer choices
A) 2x + y = 3
6x + .5y =6.5
B) y = 2 + 1x
y = 6 + .5x
What do they represent?
X=
Y=
Answer:
2x + y = 3
Step-by-step explanation: because if you do 2x1 you'll get 2
7. Cody bought 4 games for $35.90. Which equation can be used to determine
the price, p, of one game? *
Answer:
35.90÷4 is the equation for one video game
Answer:
Step-by-step explanation:
If Cody bought 4 games for 35.90,
price=p
p=35.90/4
A group of friends are at a baseball game and are purchasing souvenirs. Dustin purchased 5 t-shirts and 1 baseball cap, spending a total of $119. His Mandy purchased 1 t-shirt and 1 baseball cap, which cost her a total of $43. Assuming that all of the t-shirts and all of the caps are the same price, what is the price of each?
Shirts are $____apiece and caps are $____apiece.
Step-by-step explanation:
I dont now but i think 20 or 34
Help plsss I will mark as brainlest if correct
Answer:sorry for the delate
Step-by-step explanation:
6. Sarah Beth makes cookies at the rate of 2 dozen per
hour. She has to make a total of 216 cookies for a
wedding party. How long will it take her?
Jane spends about 1/6 of the day sleeping. How many hours in a day does Jane sleep? How many hours in a week?
Answer:
Jane spend 4 hours in a day sleeping, and 28 hours in a week.
Step-by-step explanation:
In 1 day, there are 24 hours. 24 multiplied by 1/6 is 4. I know this because 24 x 1/6 = 24/1 x 1/6 = 24/6 = 4/1 = 4.
In 1 week, there are 168 hours. 1/6 multiplied by 168 is 28. I know this because 168 x 1/6 = 168/1 x 1/6 = 168/6 = 28/1 = 28
I would appreciate brainliest.
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many students are boys?
Step-by-step explanation:
- boys=5x
- girls=3x
5x+3x=32
8x=32
x=32:8
x=4
5×4=20 (boys)
3×4=12 (girls)
After a discount of 35%, you pay $35.71 for a video game. What was the original price of the game?
Which equation represents a line that is parallel to y = -2x – 5?
A. -2r + y = -5
B. x - 2y = -5
C. 2r - y = 0
D. 2x + y = 7
Solve for x and y. (Hint: Geometric mean-leg theorem) Round your answers
to the nearest tenth.
20
X
15
Y у
Answer:
x=17.5 or 18,y=12.5,or 13
Step-by-step explanation:
20-15 = 5
5÷2 = 2.5
15+2.5 = 17.5
15-2.5=12.5
Please put the "5 Foundations" in the correct order.
Save a $500 emergency fund
Pay cash for college
Pay cash for your first car
Get out of debt
Build wealth and give
Answer:
Please put the "5 Foundations" in the correct order.
__1__ Save a $500 emergency fund
__4__ Pay cash for college
__2__ Get out of debt
__5__ Build wealth and give
__3__ Pay cash for your first car
Step-by-step explanation:
got 100% percent on the quiz
In this exercise we have to use the knowledge about finance to idenfy the correct order of the factors, in this way we have to:
1) Save a $500 emergency fund
2)Get out of debt
3)Pay cash for your first car
4)Pay cash for college
5)Build wealth and give
So the correct order will be:
(1) Save a $500 emergency fund (2)Get out of debt (3)Pay cash for your first car(4) Pay cash for college (5) Build wealth and give.
See moer about finance at brainly.com/question/10024737
help me with this please
Answer:
Answer is 69%
Step-by-step explanation:
Because 69% of 42 is 29
Answer:
29/42*100=69%
Step-by-step explanation:
27 yd
36 yd
What is the length of the hypotenuse?
C-
yards
Answer:
The length of the hypotenuse is: 45 yards
Step-by-step explanation:
Given
a=27 yd
b=36 yd
To Determine
Hypotenuse = c
Pythagorean Theorem
For a right-angled triangle with sides a, b, and c is defined as:
[tex]c=\sqrt{a^2+b^2}[/tex]
as
a=27
b=36
so substituting a=27, b=36
[tex]c=\sqrt{27^2+36^2}[/tex]
[tex]c=45[/tex] yards
Therefore, the length of the hypotenuse is: 45 yards
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help
Answer:
4 to 1
Step-by-step explanation:
Answer:
4:1
Step-by-step explanation:
1. its black:white
2. 8 black: 2 white
3. simplify
4. 4 black: 1 white
5. answer: 4:1
For one week, Xavier rode his bike 5,25 miles each weekday and a total of 13 miles on the
weekend. How many total miles did Xavier ride his bike that week?
5.25 + 13
= 18.25
Xavier rode his bicycle for a total of 18.25mi in one week.
Last year at a certain high school, there were 150 boys on the honor roll and 150 girls
on the honor roll. This year, the number of boys on the honor roll increased by 24%
and the number of girls on the honor roll increased by 10%. By what percentage did
the total number of students on the honor roll increase? Round your answer to the
nearest tenth (if necessary).
Answer: 17%
Step-by-step explanation:
Last year:
Number of boys = 150 boys
Number or girls = 150 girls.
Total = 300 students
This year:
Number of boys = 150 + (24% × 150)
= 150 + (0.24 × 150)
= 150 + 36
= 186
Number or girls = 150 + (10% × 150)
= 150 + (0.1 × 150)
= 150 + 15
= 165
Total students = 186 + 165 = 351
Percentage increase = (351 - 300) / 300 × 100
= 51 / 300 × 100
= 17%
Answer:
Thats wrong
Step-by-step explanation:
Find new values:
150(1+0.24)=\color{green}{186}
150(1+0.24)=186
150(1+0.06)=\color{blue}{159}
150(1+0.06)=159
Last Year This Year
Boys 150 186
Girls 150 159
Total 300 345
\text{Find overall increase:}
Find overall increase:
300(1+r)=345
300(1+r)=345
\frac{300(1+r)}{300}=\frac{345}{300}
300
300(1+r)
=
300
345
1+r=1.15
1+r=1.15
r=0.15
r=0.15
Subtract 1
\text{Final Answer: }15\%
Final Answer: 15%
Miguel buys a car for $12,999.The tax is 6% what is the total price of the car
Answer:
13778.94
Step-by-step explanation:
did it on my calculator
Change 26 out of 40 to a percentage
Answer:
65
Step-by-step explanation:
26 divided by 40 then multiply by a hundred
1/5+2/5+3/5 Its for my I ready because I'm too lazy to pay attention
Answer:
6/5 1.2 1 1/5
Step-by-step explanation:
1+2+3=6
You do not change the denominator while adding fraction so it remains the same at 5
The relationship between a hiker’s elevation and time is shown in the graph.
Answer:
Constant of proportionality =30
Slope = 30
So the equation is y= 30x
This is the exact question by the way:
Are the ratios 2:3 and 12:18 equivalent?
Answer:
Yes
Step-by-step explanation:
You can do this
2/3 = 12/18
Do cross products
2 times 18 = 3 times 12
36=36
Solve the system of equations.
Answer:
x = -2y
Step-by-step explanation:
Step 1. x + 2y = 0
Step 2. x + 0 = -2y
Step 3. x = -2y
