the population of a slowly growing bacterial colony after hours is given by . find the growth rate after 3 hours.
The growth rate of the bacterial colony after 3 hours is 32%, the population of a slowly growing bacterial colony after t hours is given by the function p(t) = 100 + 24t + 2t²
The growth rate of the colony is the rate of change of the population, which is given by the derivative of the function. The derivative of p(t) is p'(t) = 24 + 4t
The growth rate after 3 hours is p'(3) = 24 + 4 * 3 = 32. This means that the population of the colony is increasing by 32% after 3 hours.
The derivative of a function gives the rate of change of the function.The growth rate of a population is the rate of change of the population.The growth rate of a bacterial colony can be calculated by differentiating the function that represents the population of the colony.To know more about derivative click here
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Share $240 between Alex and Burton in the radio:
5:1
Answer:
$200 : $40
(i divided 240 by 6 because there are six parts in the ratio, and got 40. 40*5=200 and the other 40 makes it 240 in the ratio of 5:1)
Step-by-step explanation:
Answer:
Alex : Burton
5 : 1
5+1=6
240/6=40
5 times 40=200
1 times 40 =40
= 200:40 this means alex gets $200 and burton gets $40
If you double the down payment what happens to the total cost and payment of the vehicle? What two ways can you lower your monthly payment?
Doubling the down payment reduces the total cost of the vehicle, and increasing the down payment or extending the loan term are two ways to lower the monthly payment.
Let's assume that you're planning to buy a car worth $20,000. The down payment is the initial amount you pay towards the purchase of the car, and it is usually expressed as a percentage of the total cost of the car. Let's assume that the down payment is 10% of the total cost, which means you have to pay $2,000 initially.
If you double the down payment from 10% to 20%, you will have to pay $4,000 initially. This means that the amount you borrow from the bank to buy the car will be reduced. As a result, the total cost of the vehicle will decrease because the interest on the loan will also decrease.
Now, let's move on to ways to lower your monthly payment.
Increase the down payment: As we discussed earlier, making a higher down payment reduces the loan amount, which, in turn, reduces the monthly payment. So, if you can increase the down payment, you can lower the monthly payment.
Increase the loan term: The loan term is the length of time you have to repay the loan. If you extend the loan term, the monthly payment will be lower. However, keep in mind that a longer loan term means you'll end up paying more interest over the life of the loan, which will increase the total cost of the vehicle.
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Ellen writes 2 pages in a hour. Determine the equation that represents the function and state it graphically.
Answer:
1 page every 0.5hours, or 1 page every 30 minutes. The equation is
2x = y
Find the indicated term of the geometric sequence. -1,-4, 16, -64, ...; the 9th term 1 The 9th term of the geometric sequence is
The 9th term of the sequence is -65536.The 9th term of the geometric sequence -1, -4, 16, -64, ... is 1. A geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a constant called the common ratio.
In this case, the common ratio can be calculated by dividing any term by its previous term. For example, dividing -4 by -1 gives a common ratio of 4. To find the 9th term of the sequence, we can use the formula for the nth term of a geometric sequence: an = a1 * r^(n-1), where an represents the nth term, a1 is the first term, r is the common ratio, and n is the term number. In this case, a1 = -1 and r = 4.
Plugging in the values, we have\(a9 = (-1) * 4^{(9-1)\). Simplifying, we get \(a9 = -1 * 4^8 = -1 * 65536 = -65536\). Therefore, the 9th term of the sequence is -65536. However, it is stated that the 9th term of the sequence is 1. This indicates that there might be an error in the given sequence or the information provided. The given sequence does not produce 1 as the 9th term using the provided common ratio. It is advisable to double-check the sequence or seek further clarification.
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WILL GIVE BRAINLIEST TO FIRST PERSON WHO IS CORRECT DO NOT DO THIS FOR POINTS PLS
A cylindrical can of vegetables has a label wrapped around the outside, touching end to end. The only parts of the can not covered by the label are the circular top and bottom of the can. If the area of the label is 100π square inches and the radius of the can is 5 inches, what is the height of the can?
25 inches
20 inches
10 inches
5 inches
Answer:
25
Step-by-step explanation:
Answer:
Step-by-step explanation:
5 inches
There is a proportional relationship between minutes and dollars per minute, shown on a graph of printing expenses. The graph passes through the point (1, 4.90). What is the slope of the graph? What is the unit rate? Complete the explanation. plz help 100 points and brainliest.
Answer:
if the graph of a proportional relationship passes through the point (1 , R) then r equals the slope and the unit rate , which is $4.75 per min
Step-by-step explanation:
A coin is tossed eight times and the sequence of heads and tails is recorded. Determine the number of outcomes of this activity.
The sample space for tossing a fair coin eight times is: There are 256 possible scenarios for tossing a coin flip eight times.
What is termed as the sample space?A sample space is a group of possible outcomes from a random experiment. The sample space is denoted by the symbol "S." An experiment's events are the subset of likely choices. Depending on the experiment, a sample space could contain a variety of outcomes.A probability event's sample space is indeed the collection of all possible outcomes.
HHHH HHHH
HHHH HHHT
HHHH HHTH
HHHH HHTT
HHHH HTHH
HHHH HTHT
HHHH HTTH
HHHH HTTT
HHHH THHH
HHHH THHT
HHHH THTH
HHHH THTT
HHHH TTHH
:
:
TTTT TTTT
Thus, the sample space for tossing a fair coin eight times is: There are 256 possible scenarios for tossing a coin flip eight times.
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(02.01 MC) Triangle FIT has been reflected over the y-axis. Which of the following best describes the relationship between the y-axis and the line connecting F to F? (4 pe They share the same midpoints. They are diameters of concentric circles. They are perpendicular to each other. They are parallel and congruent.
The best description of the relationship between the y-axis and the line connecting F to F' after reflection over the y-axis is that they are perpendicular to each other.
When a triangle is reflected over the y-axis, its vertices swap their x-coordinates while keeping their y-coordinates the same. Let's consider the points F and F' on the reflected triangle.
The line connecting F to F' is the vertical line on the y-axis because the reflection over the y-axis does not change the y-coordinate. The y-axis itself is also a vertical line.
Since both the line connecting F to F' and the y-axis are vertical lines, they are perpendicular to each other. This is because perpendicular lines have slopes that are negative reciprocals of each other, and vertical lines have undefined slopes.
Therefore, the best description of the relationship between the y-axis and the line connecting F to F' after reflection over the y-axis is that they are perpendicular to each other.
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There are 20 beetles in an area of rainforest. The number of beetles is expected to increase by 66% every year compared to the year before. a) How many beetles are expected to be in the area of rainforest in 5 years' time? b) How many beetles are expected to be in the area of rainforest in 20 years' time? Round your answers to the nearest 100.
Answer: Your welcome!
Step-by-step explanation:
a) In 5 years' time, there are expected to be 136 beetles in the area of rainforest (20 * 1.66^5 ≈ 135.9, rounded to 136).
b) In 20 years' time, there are expected to be 8,000 beetles in the area of rainforest (20 * 1.66^20 ≈ 8,002.2, rounded to 8,000).
The festival sends Dani a map of where people will launch their kites. A portion of the map is shown. How far apart does each kite flyer stand? Round to the nearest foot. Explain please hurry
Answer:
16 ft.
Step-by-step explanation:
Distance Formula:
A = (2,2)
B = (12,14)
So, sqrt(12^2 + 10^2) = 16 ft.
This is the same for B to C.
So, 16 ft.
Mark me as Brainliest if this is correct! I really appreciate it! :D
Last year there were 145 pies baked for the bake sale this year k pies baked using k write a expression for the total number of pies baked in the two years
A cylinder and a cone have the same base and altitude. If the volume of the cone is 30 cubic inches, what is the volume of the cylinder?
Answer:
im not completely sure but I'd say 30
Step-by-step explanation:
well I'm not sure but if they have the same base and altitude you'd think they might have the same volume, but I'm not exactly sure
4. Consider the matrices P, Q and R which are 10 x 20, 20 x 30 and 30 x 40 matrices respectively. What is the minimum number of multiplications required to multiply the three matrices
The minimum number of multiplications required are 1800 .
Given,
P = 10×20
Q = 20×30
R = 30×40
Now,
Firstly,
First multiply P with Q:
PQ = 10 × 20 × 30 = 6000
Now,
PQ *R = 10 × 30× 40 = 12000
Total multiplication = 12000 + 6000
Total multiplication = 18000
Hence the minimum number of multiplications require to multiply three matrices are 18000 .
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AD and EC are diameters of 0. OB is a radius. Classify each statement as true or false. AOE = 50
Applying the definition of a diameter, we can conclude that m<AOE = 80 degrees. Therefore, m<AOE = 50 is FALSE.
What is a Diameter and a Radius?The diameter is the longest chord passing through the center of a circle, while the radius is the distance from the center to any point on the circumference. The diameter forms two semicircles or divides the circle into two halves.
We are given that AD and EC are diameters of the circle O. This means that EOC is a straight angle or semicircle, which is equal to 180 degrees. Therefore:
m<EOC - m<AOB - m<BOC = m<AOE
Substitute:
180 - 50 - 50 = m<AOE
80 = m<AOE
m<AOE = 80°
Therefore, the statement, m<AOE = 50 is FALSE.
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how to find the x component of this vector
12.1 meters 48.4 degrees
The magnitude of the x-component of this vector is 9.05m.
The angle of inclination of the vector is calculated as;
θ = 90 ⁰ - 48.4 ⁰
θ = 41.6 ⁰
The magnitude of the x-component of the vector is calculated as;
Vx = 12.1 m x cos ( 41.6 )
Vx = 9.05 m
A vector can be represented by an ordered set of numbers, called components, that indicate the magnitude and direction of the vector in a particular coordinate system. The components of a vector can be added or subtracted using vector addition and subtraction, and multiplied by a scalar (a real number) using scalar multiplication.
Vectors can be visualized as arrows in a two- or three-dimensional space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. Vectors can also be represented as matrices, which can be used to perform various operations on vectors, such as dot product and cross product.
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Complete Question:-
An automobile tire at 30.0°c has a pressure of 3.00 atm. the temperature decreases to -5.00°c. assume that there is no volume change in the tire. formula to use: p1 t1 = p2 t2 how does the tire pressure change in response to the temperature change?
The process is an isochoric process. Then the tire pressure change in response to the change in temperature is 2.65 atm.
What is thermodynamics?It is a branch of science that deals with heat and work transfer.
An automobile tire at 30.0°C has a pressure of 3.00 atm.
The temperature decreases to -5.00°C.
Assume that there is no volume change in the tire.
Then for the constant volume process, we have
\(\dfrac{P_1}{P_2} = \dfrac{T_1}{T_2}\\\\\dfrac{3}{P_2} = \dfrac{303}{268}\\\\P_2 \ = 3\times \dfrac{268}{303}\\\\P_2 \ = 2.65\)
The tire pressure change in response to the change in temperature is 2.65 atm.
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Answer:
How does the tire pressure change in response to the temperature change?
✔ decreases
What is the new pressure of the tire after the temperature change?
2.65 ✔ atm
Step-by-step explanation:
Got it right on edge
IF A KIND SOUL WILL HELP ME I WOULD BE SO GRATEFUL!!!!!!!!!!!
Which of the following statements must be true about parallelogram ABCD?
The image is an example of which type(s) of symmetry.
Answer:
D Both
Step-by-step explanation:
It's a regular hexagon which means it will look the same even if you rotate or cut it
Answer:
Both rotational and reflectional
Step-by-step explanation:
which measure of variability is the most direct way to measure how dispersed a set of scores is?
The most direct way to measure how dispersed a set of scores is, is by using the range. The range is calculated by subtracting the lowest score from the highest score in the dataset, which gives a quick and easy measure of the spread of the scores.
However, the range can be influenced by extreme scores and may not provide a complete picture of the variability. Other measures of variability, such as the standard deviation and variance, take into account the variability of all scores in the dataset and provide a more robust measure of variability.
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Factorize the following
60x²y + 45x
Plz I need help
Answer:
15x(4xy+3)
Step-by-step explanation:
that is it, good luck on your quiz
Use the divergence theorem to find the outward flux of F across the boundary of the region D. F = (5y ? 4x)i -(4z ? 5y)j - (3y ? 2x)k D: The cube bounded by the planes x= plus or minus 1, y= plus or minus 1, and plus or minus 1 The outward flux is
The outward flux of the vector field F across the boundary of the region D, which is the cube bounded by the planes x = ±1, y = ±1, and ±1, can be found using the divergence theorem.
The outward flux is the integral of the divergence of F over the volume enclosed by the boundary surface.The first step is to calculate the divergence of F. The divergence of a vector field F = P i + Q j + R k is given by div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z. In this case, div(F) = ∂/∂x(5y - 4x) + ∂/∂y(-4z - 5y) + ∂/∂z(-3y - 2x). Simplifying these partial derivatives, we have div(F) = -4 - 2 - 3 = -9.
Applying the divergence theorem, we can relate the flux of F across the boundary surface to the triple integral of the divergence of F over the volume enclosed by the surface. Since D is a cube with sides of length 2, the volume enclosed by the surface is 2^3 = 8.
Therefore, the outward flux of F across the boundary of D is given by ∬S F · dS = ∭V div(F) dV = -9 * 8 = -72. The negative sign indicates that the flux is inward.
In summary, the outward flux of the vector field F across the boundary of the cube D, as described by the given vector components, is -72. This means that the vector field is predominantly flowing inward through the boundary of the cube.
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I'll give brainliest!!! please help!!!
Why was Marian Anderson not allowed to sing at Constitution Hall?
Anderson had spoken out against the Daughters of the American Revolution (DAR), who owned the venue at the time.
Constitution Hall was owned by the Daughters of the American Revolution (DAR), who refused to let African Americans perform there.
Anderson was not yet famous enough when her manager tried to book a concert date at Constitution Hall.
Constitution Hall was undergoing some major renovations, so no one was able to schedule a performance there.
Answer:
Constitution Hall was owned by the Daughters of the American Revolution (DAR), who refused to let African Americans perform there.
Step-by-step explanation:
The Daughters of the American Revolution proudly practices a non-discrimination policy and encourages and celebrates diversity in our organization. However, in 1939, opera singer Marian Anderson was denied the opportunity to perform in DAR Constitution Hall because of her race.
If this was helpful please mark brainliest
Answer:
The answer is ,,the nation-wide recognition that Marian Anderson received for her cause,,
Step-by-step explanation:
If 8 boxes of cereal cost $27.60, what is the price of one box?
Answer:
$3.45
Step-by-step explanation:
Let "x" repreesnt the cost of one box. If 8 = 27.60, 1 = "x". Set up a fraction, then solve;
\(\frac{8}{27.6}=\frac{1}{x}\)
Step 1: Divide 27.6 by 8
\(27.60 \div 8 = 3.45\)
Step 2: Multiply the result by 1
\(3.45 \times 1 = 3.45\)
That means 1 cereal box costs 3.45 dollars.
I-Ready help...... AND DON"T SAY USE A CALCULATOR IT SO EZZ I Would if i flip In COULD DU>>>>>A>>>>>S>>>>S>>>>>'S SORRY TO BE mean XD
Answer:
-0.099
Step-by-step explanation:
0.9 × -0.11 = -0.099
Your pfp is giving me a seizure
You're like 12
And your cringy
""Sorry to be mean XD""
Match the name of the individual to a description of his
accomplishment.
___________oil production
___________steel
manufacturing
___________mechanized
production of clothing
___________expanded
industrialization to
continental Europe
A. William
Cockerill
B. Andrew
Carnegie
C. John D.
Rockefeller
D. Francis Cabot
Lowell
Answer:
Answer:
oil production: John d Rockefeller
steel manufacturing: Andrew Carnegie
Clothing: william cockerill
industrializatuon expansion: Frances Cabot Lowell
Step-by-step explanation:
The two-way table shows some information about where 50 people went to university. One of these people is picked at random. Work out the probability that this person is a female who did not go to university in England.
Answer:
9/50
Step-by-step explanation:
In total there are 50 people
There are 9 that are female and that didn't go to a university in England
I NEED THIS QUICK HELP!
Pilar bought 2/3 pound of turkey. She ate 1/4 of the turkey that she bought for lunch.
How many pounds of turkey did she eat?
Enter your answer in the box as a fraction in simplest form.
Answer:
1/6 lbs
Step-by-step explanation:
2 1 1
- X - = -
3 4 6
Answer: She ate 5/12 of the turkey.
Step-by-step explanation:
First, find a common denominator by multiplying each fraction by the denominator of the other. By doing this, you should get 8/12, and 3/12.
Next, subtract them!
ex: 2/3= 8/12
1/4=3/12
8/12-3/12=5/12
HELP ME PLEASE! I need help on Desmos!
Answer:
B is the answer :)
Step-by-step explanation:
Marcus had a rope that was 75 filet long. He cut off part of the rope. After
that, the rope was 56 feet long.
If f = the number of feet Marcus cut off the rope, which mathematical
sentence expresses the information above?
A. 56 - f = 75
B. 75 - f= 56
C. 75+ f = 56
D. f- 75 = 56
Answer:
The answer is B. 75 - f = 56
Step-by-step explanation: