Answer:
Simplified radical form is [tex]16\sqrt{16}[/tex]
Step-by-step explanation:
The number of bacteria in a culture is increasing according to the law of exponential growth. The initial population is 240 bacteria, and the population after 12 hours is double the population after 1 hour. How many bacteria will there be after 3 hours
Answer:
240
Step-by-step explanation:
According to law of exponential growth,
[tex]y=y_0e^{kt}[/tex]
Here, [tex]y_0[/tex] denotes the initial amount and k is the rate constant of the equation.
Now, the initial population is 240 bacteria.
Put [tex]y_0=240[/tex]
So,
[tex]y=240e^{kt}[/tex]
The population after 12 hours is double the population after 1 hour.
[tex]y(12)=2y(1)[/tex]
[tex]240e^{12k}=240e^{k} \\e^{12k}=e^{k} \\e^{12k-k}=1\\e^{11k}=1\\11k=log 1=0\\k=0[/tex]
(Formulae used: [tex]\frac{e^x}{e^y}=e^{x-y}\,,\,log 1=0[/tex])
So,
[tex]y=240e^{0}=240\\y=240[/tex]
Therefore,
Number of bacteria after 3 hours = 240
a boat can travel 384 miles on 48 gallons of gasoline. how much gas does will it need to go 456 miles?
pls help it's due in 4 mins
Answer:
The mistake is the height has to be 6
Step-by-step explanation:
A=B times H
A= 11 times 6
A=66 divided by 2
A= 33 units squared
Hopefully this helps!
Answer:
the answer is 6 .....
no need to explain
any help will mark brainliest
There were 60 ducks living in a pond. If the number living at the pond increased by 30%, how many ducks now live at the pond?
Answer:
78
Step-by-step explanation:
You take the original total: 60, and multiply it by 30 to get 1,800. You then divide 1,800 by 100 to get 18. 18 is your 30%. Now, you add the 30% to 60 getting your total number of ducks: 78.
The equation version:
[tex]\frac{a}{60} = \frac{30}{100}[/tex]
It is just proportions.
HELPPPPP
RuthAnn is 28 years old and is retiring at the age of 65. When she retires, she estimates that she will need an annual income of $32,523 for 30 years. If RuthAnn contributes 11% of her annual income to a 401(k) paying 7.1% compounded annually, will she reach her goal for retirement given that her annual income is $36,278.13? If she does not make her goal then state by what amount she will need to supplement her income. Round all answers to the nearest cent.
a.
RuthAnn will meet her annual goal of exactly $32,523 for retirement.
b.
RuthAnn will meet her annual goal of $32,523 for retirement with an excess of $20,791.60.
c.
RuthAnn will not make her annual goal of $32,523 and will need $1,039.85 to supplement her yearly income when she retires.
d.
RuthAnn will not make her annual goal of $32,523 and will need $10,395.80 to supplement her yearly income when she retires.
Answer:
It's actually b
Step-by-step explanation:
A student asks how you can find the quotient and the remainder in a division problem like
593
÷
36
using a calculator that can perform only the four basic operations. How do you respond?
Answer:
16.4722222222
Step-by-step explanation:
The quotient and remainder should be 16 and 17 respectively.
Given that,
The problem is 593 ÷ 36.By using the calculator we can perform the four operations i.e. addition, subtraction, multiplication & division.The division result in the division operator is
593 ÷ 36 = 16.4722So, the quotient is 16.Now the remainder should be
(16.4722 - 16) ×36 = 17
Therefore we can conclude that the quotient and remainder should be 16 and 17 respectively.
Learn more about the division here: brainly.com/question/21416852
Solve two sevenths plus seven fourteenths
Answer:
Eleven Fourteenths
Step-by-step explanation:
Convert 2/7 into 4/14 to get a common denominator then add 4 and 7 to get 11/14
Answer:
c
Step-by-step explanation:
i took the test
A. SSS Postulate
B. ASA Postulate
C. SAS Postulate
D. AAS Theorem
Answer:
B is the answer
Step-by-step explanation:
Please help ASAP!! I'm really struggling at this problem. Will give 10 points & to the brainliest!
Answer: B
Step-by-step explanation:
To find the result of the dilation, multiply each x and y coordinate by the scale factor, which in this case, is 1.5. I started out with the coordinate P, which had an original coordinate of (-2,1). In this case, I multiplied -2 by 1.5, and 1 by 1.5 to get (-3, 1.5). Since this is multiple choice, the only one with P as (-3, 1.5) is B, so we don't have to check the others.
The answer is B.
1) Apply dilation
2)Find each one x coordinate (x,y)
3) Find the y coordinate for each one
4) See which one matches your answers
Hope this helps!
What is the probability that a student chosen at random has a GPA less than 3.00?
Answer:
1200/2000
Step-by-step explanation:
There are 1200 students total that have a GPA less than 3.00. That means that out of 2000 students, 1200 of them have a GPA less than 3.00, hence 1200/2000 chance that a student is picked at random with less than a 3.00.
What the domain and range please help meee
Answer:
For question 3 on the worksheet Domain is -4<=x<=2 and Range is -4<=y<=4
Step-by-step explanation:
For the domain, we know that the x values are between -4 and 2 and for the Range we know that the y values are between -4 and 4.
if it is 5 outside and the temperature will drop 17 in the next six hours, how cold will it get?
Answer:
Well in six hours it'll be -12
Step-by-step explanation:
ABC is a straight line.
The length of AB is four times the length of BC.
AC = 75 cm.
Work out the length of AB.
Answer:
60
Step-by-step explanation:
so 4 of BC will make a AB, so AC =5 of BC =75
therefore BC=75/5=15
If BC=15 and AB=4*BC=4*15=60
Can anyone solve the his it’s pretty easy but I really don’t feel like doing anything today lol
Answer:
100
Step-by-step explanation:
Yw btw LOL! Ik this answer is probs wrong LOL
Problem:
Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.
Answer:
The answer is: y = 9.25x
Step-by-step explanation:
Let the equation for the proportionality relation is y = mx .......... (1), where y represents the money that Craig earns for a duty of x hours.
Here, m is the constant of proportionality and we have to find its value.
Given that Craig earns $37 for 4 hours duty.
So, from equation (1), we have 37 = 4m, ⇒ m = 9.25
Therefore, the equation becomes y = 9.25x. (Answer)
-6(x-3)+4x simplify the expression
Answer: -2x+18
Hope this will help :)
Answer:
-2x + 18
Step-by-step explanation:
Simplfy
-6 (x - 3) + 4x
-6x + 18 + 4x Combine liked terms
-2x + 18
Create a scenario (word problem) that goes with this equation.
100−3x=74.50 (best answer gets brainliest)
Answer:
I have $100 and I buy 3 lunches, after which I'm left with $74.50. How much does each lunch cost?
Solve the equation below. Show the steps that lead to your final solution.
5(2x+1)+6x-13=3(3x-2)
Answer:
this is how u would do it
5(2+1)+6−13=3(3−2)
10+5+6−13=3(3−2)
=2/7
how do you say 727.526 in letters like:
A: seven hundred twenty–seven and five tenths and twenty hundredths and six thousandths
B: seven hundred twenty–seven and five hundred twenty–six
C: seven hundred twenty–seven and five hundred twenty–six thousandths
D: seven hundred twenty–seven and five hundred twenty–six hundredths
Answer:
I am pretty sure it's C
Step-by-step explanation:
good luck!
which of the following are true of linear functions?
Answer:
1. 3. 6.
Step-by-step explanation:
Answer:
There is exactly one output for each input.
The graph of a linear function is a straight line.
A linear function has a constant rate of change.
Step-by-step explanation:
Solve the equation.
4 (6 – x) + 4 = 2 (3x + 1) - 6
Answer:
x = 2.4
Step-by-step explanation:
Simplify.
24 - 4x + 4 = 6x + 2 - 6
Combine like terms (24 + 4 = 28, sorry for the confusion!)
28 - 4x = 6x - 4
Add x and add 4 to both sides.
10x = 32
x = 3.2
Answer:
x=3 1/5 or 3.2
Step-by-step explanation:
f(x) = –2x2 + 8x – 10
Find f(-4)
Answer: x = -74
Step-by-step explanation:
Simplify the expression.
(6 + 5) x3
A. 16
B. 11
O
C. 33
D. 21
SUBA
Answer:
C. 33
Step-by-step explanation:
What is the image point of ( 8 , − 2 ) after a translation right 5 units and up 2 units?
Answer:13,0
Step-by-step explanation:
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points. The coordinates of point (8,−2) after translation will be (13,2) and (13,4).
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
The coordinates of a point (x,y) can be translated by right 5 units and up 2 units as,
Translation right by 5 units → (x+5, y)Translation up by 2 units → (x+5, y+2)Now, the given coordinate (8, -2) can be translated as shown below,
Translation right by 5 units → (8+5, 2) = (13, 2)Translation up by 2 units → (8+5, 2+2) = (13, 4)Hence, the coordinates of point (8,−2) after translation will be (13,2) and (13,4).
Learn more about Coordinates here:
https://brainly.com/question/23450276
#SPJ2
(-3, 7) and (6, -8) linear equations
100 plates served. The 1st waiter turnes every plate upside down. Then another waiter turned every other plate. Then the 3d waiter turned every 3d plate. The 4th turned every 4th plate, and so on, until the 100th waiter turned the 100th plate. At the end how many plates are placed normally?
Answer:
At the end of the 100th turn, you have 90 plates placed normally.
Step-by-step explanation:
Not sure if there is a formula to calculate this. I plugged the data into a spreadsheet and created formulas to turn every plate, every 2nd plate, every 3rd, .... to every 100th plate.
Venn diagram is shown below:
What are the elements of (A ∩ B) ' ?
Answer:
1 and 2 are the elements of (A B)
87.039 as a mixed number
Answer:
87 39/1000
Step-by-step explanation:
cooper's jump rope is for 4 2/5. luke's jump rope is 4 3/4 ft long. whose jump rope is longer? how much longer? show your work
Answer:
Juke's jump; by 0.35 feet
Step-by-step explanation:
Given that,
Cooper's jump rope is for [tex]4\dfrac{2}{5}[/tex] feet.
Juke's jump rope is [tex]4\dfrac{3}{4}[/tex] feet.
Cooper's jump is :
[tex]4\dfrac{2}{5}=\dfrac{22}{5}\ \text{feet}\\\\=4.4\ \text{feet}[/tex]
Juke's jump is
[tex]4\dfrac{3}{4}=\dfrac{19}{4}\\\\=4.75\ \text{feet}[/tex]
So, it is clear that Juke's jump is longer than Cooper's jump.
Juke's jump - Cooper's jump = 4.75 - 4.4
= 0.35 feet
or
So, Juke's jump is 375 feet longer.