bacteria colonies can increase by 73% every 2 days. if you start with 150 bacteria microorganisms, how large would the colony be after 8 days
Answers
Using an exponential function, it is found that the colony will have 1344 bacteria after 8 days.
What is an exponential function?An increasing exponential function is modeled by:
\(A(t) = A(0)(1 + r)^t\)
In which:
A(0) is the initial value.r is the decay rate, as a decimal.Considering the initial amount of 150, and the growth rate of 73% each 2 days, the equation is given by:
\(A(t) = 150(1.73)^{\frac{t}{2}}\)
Hence, after 8 days, the amount of bacteria is given by:
\(A(8) = 150(1.73)^{\frac{8}{2}} = 1344\)
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Related Questions
Use the figure to find X. and find TW
Answers
The value of x will be 3.
The length of TW will be 6 units.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In triangle TWZ,
The sides TY and YZ are equal.
Now,
Since, The sides TY and YZ are equal.
And, Side YW is common side.
∠WYT = ∠WYZ = 90°
Hence, ΔWYT ≅ ΔWYZ
So, We get;
WT = WZ
Substitute all the values, we get;
4x - 6 = 2x
4x - 2x = 6
2x = 6
x = 3
Thus, The value of x will be 3.
And, The length of TW = 2x
= 2 × 3
= 6 units
Therefore, The value of x will be 3.
The length of TW will be 6 units.
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A researcher wanting to explore the lives of women newly diagnosed with breast cancer obtains a random sample of the population. What part of the study will be strengthened because of the random sample?a. Feasibility b. Reliability c. Statistical power d. Validity
Answers
Answer:
Step-by-step explanation:
Solve for r. r - 76 = 9
Answers
Answer:
r=85
Step-by-step explanation:
r-76=9
add 76 to both sides
r=85
hope this is helpful
Answer: 85
Step-by-step explanation:
Since we're finding the placeholder of r and we're already subtracting, we need to add! What we need to do is add 76 + 9 which equals 85!
Hope this helps you! Good luck with your future work!
chandra earns $12.50 per hour at her job. how many hours will she have to work to earn $612.50 .Let h be the number of hours she worked
Answers
Answer: h=39
Step-by-step explanation:
1. First we have to divide $612.50 by $12.50 because Chandra needs to earn this much money, and she earns $12.50 every hour.
2. 612.50/12.50=49
3. Chandra needs to work 39 hours to earn $612.50.
4. h=39
What was the national average for 1 gallon of gas?
Answers
Write each of the following numbers to one significant figure
a) 6320
Answers
Answer:
6000
Step-by-step explanation:
In 6320, "320" is the nearest to 6000, so its 6000, if it is nearer to 7000, it will be 7000.
After pressing submit or a par or kc quiz, d2l provides a warning if you have not saved your answers to one or more questions before grading your assignment. Since you are still permitted submit a quiz with unanswered questions, using a warning approach is an example of what type of error prevention?.
Answers
The warning approach is an example of Detection of error type prevention.
What is error?Error is a conscious or unconscious departure from a standard of conduct. A bug is a mistake in computer data. A software bug is an error, flaw, failure, or fault that results in an unwanted behavior from a computer program or system or leads it to deliver an inaccurate or unexpected outcome. Errors caused by bugs may have repercussions. The majority of defects are caused by faults and blunders in a program's source code, in its design, or in the parts and operating systems that these programs rely on.
After pressing submit or a PAR or KC quiz, D2Lprovides a warning if you have not saved your answers to one or more questions before grading your assignment. Since you are still permitted submit a quiz with unanswered questions, using a warning approach is an example of Detection type of error prevention
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Alex can run 26 miles in 6 hours, Bethany can run 26 miles in 5 hours and Carol can run 26 miles in 4 hours. If they start together and each run at their constant speeds, how many hours does it take for them to finish a total of 26 miles among the three of them
Answers
It takes approximately 86.67 hours for Alex, Bethany, and Carol to collectively finish a total of 26 miles. This is determined by calculating the harmonic mean of their individual running speeds.
To determine how many hours it takes for Alex, Bethany, and Carol to collectively run a total of 26 miles, we need to consider their individual running speeds. Alex runs at a rate of 26 miles in 6 hours, Bethany runs at a rate of 26 miles in 5 hours, and Carol runs at a rate of 26 miles in 4 hours.
To find the total time it takes for them to finish 26 miles together, we can calculate the harmonic mean of their individual running speeds. The harmonic mean is used because it accounts for the different rates at which they run.
The formula for the harmonic mean is given by:
Harmonic Mean = Total Distance / (1 / Speed1 + 1 / Speed2 + 1 / Speed3)
Substituting the values, we have:
Harmonic Mean = 26 / (1 / 6 + 1 / 5 + 1 / 4)
To simplify the equation, we find the common denominator:
Harmonic Mean = 26 / ((5 + 6 + 7) / 60)
Harmonic Mean = 26 / (18 / 60)
Harmonic Mean = 26 / (3 / 10)
Harmonic Mean = 26 * (10 / 3)
Harmonic Mean ≈ 86.67
Therefore, it takes approximately 86.67 hours for Alex, Bethany, and Carol to collectively finish a total of 26 miles.
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\(24 + 42 - 5\)
whats the answer.
Answers
Answer:
61
Step-by-step explanation:
dumb questions
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in 5-8, find each reciprocal. 5/9 8 7/3 1/12
Answers
the answer
155
324
5/9 (87/3(1/12)= 155/324
Find the slope of the line that passes through ( 10, 97) and (-11, 2).
Answers
Answer:
95/21
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(2-97)/(-11-10)
m=-95/-21
m=95/21
what is the value of 7 in 3.573
Answers
Answer:
7 is in the hundredths place
Step-by-step explanation:
If your asking for the place value the 7 is the hundredths hope this is what your looking for
PLEASE I NEED HELP. HERE ARE THE PICTURES
Answers
Answer:
ieidicucifkenfc
Step-by-step explanation:
isjwnfucudjenducc7fjff
an average student spend 4½ minutes to read one page of a book. how much time will he need to read 5½ pages?
Answers
Answer:
About 24.75 minutes or 24 3/4 minutes
Step-by-step explanation:
Volunteers at Sam's school use some of the student council's savings for a special project. They buy 3 backpacks for $9 each and fill each backpack with paper and pens that cost $4. By how much did the student council's savings change because of this project?
The savings was changed by. dollars.
Answers
Answer:
$39
Step-by-step explanation:
3 x 9 = 27
3 x 4 = 12
27 + 12 = 39
How many soultions? -4x-7+10x=-7+6x
A. No solutions
B. Exactly one solution
C. Infinitely many solutions
Answers
Answer:
C. Infinitely many solutions.
Step-by-step explanation:
-4x - 7 + 10x = -7 + 6x
Combine like terms on the left side. Rearrange the right side.
6x - 7 = 6x - 7
Add 7 to both sides.
6x = 6x
Subtract 6x from both sides.
0 = 0
0 = 0 is a true statement.
Both sides are equal, so all real values of x make the equation true.
Answer: C. Infinitely many solutions.
The rim of the volcanic crater shown below is a circle. The diameter is 840 m.
What is the circumference of the rim of the crater in kilometres (km)?
Give your answer to 1 d.p.
840 m
Not drawn accurately
Answers
Answer:
2.6 kilometers
Step-by-step explanation:
To find the circumference of a circle, we can use the formula:
Circumference = π * diameter
Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:
Circumference = π * 840
Using the approximate value of π as 3.14159, we can calculate the circumference:
Circumference = 3.14159 * 840
Circumference ≈ 2643.1796 meters
To convert the circumference to kilometers, we divide the value by 1000:
Circumference in kilometers = 2643.1796 / 1000
Circumference ≈ 2.6432 kilometers
Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).
Consider the inequality 3 (-1-x) <= -2x- 3x.what it the solution set of the inequality
Answers
Let's begin by listing out the information given to us:
\(undefined\)Myra can spend no more than $150 on office supplies. Paper costs $2.50 a pack and shipping is $10.
Use x to represent paper, write an inequality to model the situation
Answers
Answer:
150\(\geq\) 2.50x + 10
Step-by-step explanation:
It's 10 dollars for shipping. Then it is 2.50 times the amount of paper she chooses to by but it cannot be more 150.
what is the ration of 8 lions and 4 tigers
Answers
Answer:
the ration is 2:1 when simplified
Can someone help me with this please?
Answers
Answer:
the function is linear
Step-by-step explanation:
now you figure this out in many ways,
but the easiest is to plot the points on a Cartesian x-y plane, rule a line through the points,if it's in a straight line then its linear if it's a curve its cubic
from the question, after plotting your points.ie (-9,-2),(-5,-7),(-1,-12),(3-17)
we get a straight line pointing downwards.
I hope this is convenient enough
The office supply superstore sells pens for 60 cents each and
pencils for 40 cents each. Diane purchased a total of 17 items
(pens and pencils) for $8.20. How many pens did Diane
purchase?
A 5
В 7
C 10
D
12
Answers
Answer:
Option B. 7
Step-by-step explanation:
In order to solve this question we first have to find out what is the difference between the prices of a pen and a pencil. SO we get...
60 - 4- = 20 cents
Now if we were to assume that all 17 items were pencils then Diane would pay....
17 x 0.40 = $6.8
But then he pays 8.2-6.8 = $1.4 less than he should be.
If we substitute one pencil with a pen the total will increase by 20 cents. From here we can easily get the number of pens by doing the following...
1.4 / 0.2 = 7 pens
Therefore option B is the right answer.
Diane purchased 7 pens and 10 pencils.
The selling price of pens is 60 cents each ($0.6) while it is 40 cents each for pencils ($0.4).
Let x represent the number of pens bought and y represent the number of pencils.
Since a total of 17 items was bought for $8.20, hence:
x + y = 17 (1)
0.6x + 0.4y = 8.2 (2)
Solving equations 1 and 2 gives:
x = 7, y = 10
Therefore Diane purchased 7 pens and 10 pencils.
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which of the following rational functions is graphed below
Answers
Answer:
D.
Step-by-step explanation:
The simplest and fastest way to answer this question is to graph the equations given. Once you do so, then you should see that D is the correct answer.
the answer to 1+1 is 2
Answers
Answer:
yes it is
Step-by-step explanation:
How to solve this question with vertex formula
Answers
The equation of the parabola is y = 2 ( x + 1/4 )² - 49/8 and the vertex of the parabola is ( -1/4 , -49/8 )
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the equation be represented as A
Now , the value of A is
y = 2x² + x - 6 be equation (1)
On simplifying the equation , we get
On factorizing the x² coefficient , we get
y = 2 ( x² + ( 1/2 )x ) - 6
Adding and subtracting ( 1/16 ) inside the parentheses , we get
y = 2 ( x² + ( 1/2 )x + 1/16 - 1/16 ) - 6
On simplifying the equation , we get
y = 2 ( x² + ( 1/2 )x + 1/16 ) - 6 - 1/8
The trinomial inside the brackets is a perfect square
y = 2 ( x + 1/4 )² - 49/8
Now , the equation of the parabola is given by y = a ( x - h )² + k ,
where ( h , k ) is the vertex
So , y = 2 ( x + 1/4 )² - 49/8
Hence , the vertex of the parabola is ( -1/4 , -49/8 )
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Please Help! What is the value of 3 x squared minus 5 x y + 5 y squared for x = negative 6 and y = 2? A)-68 B) -4 C) 188 D)208
Thanks
Answers
Answer:
c
Step-by-step explanation:
if u hit your meat 12 times but u add 50 more time how much is it ?
Answers
Answer:
62
Step-by-step explanation:
50
+
12
_____
62
using the p-value rule for a population proportion or mean, if the level of significance is less than the p-value, the null hypothesis is rejected. group startstrue or false
Answers
The given statement "Using p-value rule for a population proportion or mean, if the level of significance is less than p-value, null hypothesis is rejected." is True because the hypothesis is rejected in this case.
In hypothesis testing, the p-value is the probability of observing a test statistic as extreme as, or more extreme than, the observed test statistic, assuming that the null hypothesis is true. The level of significance, denoted by alpha, is the maximum probability of rejecting the null hypothesis when it is actually true.
If the p-value is less than the level of significance, it means that the observed test statistic is unlikely to have occurred by chance alone, assuming the null hypothesis is true. Therefore, we reject the null hypothesis in favor of the alternative hypothesis at the given level of significance.
For example, suppose we are testing the hypothesis that the population mean is equal to a certain value. If the p-value is 0.02 and the level of significance is 0.05, we would reject the null hypothesis because the p-value is less than the level of significance.
This means that there is strong evidence against the null hypothesis and we can conclude that the population mean is likely different from the hypothesized value.
In summary, if the level of significance is less than the p-value, we reject the null hypothesis in favor of the alternative hypothesis at the given level of significance.
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calculate the amount of money invested at 8.5% per annum when 2,488.80 simple interest was collected after three years. anyone help please
Answers
Answer:
2488.80 divided by 3=838.1
Which expression is equivalent to startfraction 4 a 4 over 2 a endfraction times startfraction a squared over a 1 endfraction?
Answers
The expression that is equivalent to [(4a + 4)/2a] * [a²/(a + 1)] after simplification is; 2a
How to Simplify Fractions?We want to simplify the expression;
[(4a + 4)/2a] * [a²/(a + 1)]
This expression can be further reduced to;
[(4a + 4)/2] * [a/(a + 1)]
Factorizing the numerator to get;
[(4(a + 1)/2] * [a/(a + 1)]
(a + 1) will cancel out to get;
2a
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