Ben is monitoring a colony of bacteria. Initially, the colony consists of 159 bacteria. The following function represents the number of bacteria in the colony after x hours.
Which expression approximately represents the number of hours, x, it takes for the number of bacteria in the colony to reach 168?
Answers
Answer:
No solution is possible from the information provided
Step-by-step explanation:
you didn't include the function.
Related Questions
You will need 100 feet of fencing to put all the way around a rectangular garden. The length of the garden is 30 feet. What is the width?
Answers
Answer:
20 feet
Step-by-step explanation:
100-(2*30)=40
40/2=20
Square M and square P are similar.
M
y-axis
P
x-axis
Which sequence of transformations could be applied to square M to map it to square
P?
O a reflection over the x-axis followed by a translation up
O a reflection over the y-axis followed by a translation to the right
O a reflection over the x-axis followed by a dilation by a factor less than 1
O a reflection over the y-axis followed by a dilation by a factor greater than 1
Answers
The correct sequence of transformations that could be applied to square M to map it to square P is a reflection over the y-axis followed by a dilation by a factor greater than 1
Reflection over the y-axis reflects the square across the y-axis, effectively switching the positions of the points on the left and right sides of the square.
This is necessary because square M is positioned along the y-axis, while square P is positioned along the x-axis.
After reflecting the square over the y-axis, we need to scale it up to match the size of square P.
Since square P is positioned along the x-axis, which is a greater distance from the origin compared to the y-axis, a dilation by a factor greater than 1 is required to enlarge the square accordingly.
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Need help please help
Answers
Answer:
153.9 in²
Step-by-step explanation:
Using the formula: A = π r²
Where r = the radius and π is 3.14.
The radius is the diameter divided by 2.
14 divided by 2 is 7.
Plug in 7 into the formula:
A = π 7²
7² is 49.
49 times π is equal to 153.86.
Rounding this up to the nearest tenth, you'll get 153.9
Consider the equation 1.5x+4.5y= 18 For each question explain or show your reasoning
Where does it intersect the x-axis?
A. 1.5
B. 1/3
C. 4
D. 12
Answers
Answer:
Step-by-step explanation:
1kg=2,25 pounds. Uncle Makhosi needs 3 and half pounds of butter. Determine the amount of butter in kilograms
Answers
Uncle Makhosi needs approximately 1.56 kilograms of butter.
To determine the amount of butter in kilograms, we'll use the conversion rate of 1 kg = 2.25 pounds.
First, we need to convert 3 and a half pounds to a decimal form. Since half a pound is equal to 0.5 pounds, we can express 3 and a half pounds as 3.5 pounds.
Next, we'll use the conversion rate to calculate the equivalent weight of 3.5 pounds in kilograms:
3.5 pounds * (1 kg / 2.25 pounds) = 1.56 kilograms (rounded to two decimal places).
To summarize, based on the given conversion rate of 1 kg = 2.25 pounds, Uncle Makhosi requires approximately 1.56 kilograms of butter to fulfill his 3 and a half pound requirement. This conversion can be useful when dealing with different units of measurement, allowing us to easily switch between kilograms and pounds.
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Solve for x 6x^2=2x-1
Answers
Answer:
\(\displaystyle x=\frac{1\pm i\sqrt{5}}{6}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: \(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)Algebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define
6x² = 2x - 1
Step 2: Rewrite
Subtract 2x on both sides: 6x² - 2x = -1Add 1 to both sides: 6x² - 2x + 1 = 0Step 3: Identify Variables
a = 6
b = -2
c = 1
Step 4: Solve for x
Substitute [QF]: \(\displaystyle x=\frac{2\pm\sqrt{(-2)^2-4(6)(1)} }{2(6)}\)Exponents: \(\displaystyle x=\frac{2\pm\sqrt{4-4(6)(1)} }{2(6)}\)Multiplication: \(\displaystyle x=\frac{2\pm\sqrt{4-24} }{12}\)(Square Root) Subtract: \(\displaystyle x=\frac{2\pm\sqrt{-20} }{12}\)Factor: \(\displaystyle x=\frac{2\pm \sqrt{-1} \sqrt{20} }{12}\)Simplify: \(\displaystyle x=\frac{2\pm 2i\sqrt{5} }{12}\)Factor GCF: \(\displaystyle x=\frac{2(1\pm i\sqrt{5} )}{12}\)Simplify: \(\displaystyle x=\frac{1\pm i\sqrt{5}}{6}\)how to calculate z score from mean and standard deviation?
Answers
To calculate the z-score from a given value, mean, and standard deviation, you can use the following formula:
z = (x - μ) / σ
z-score can be calculated using the formula
z = (x - μ) / σ
where:
- z is the z-score
- x is the value you want to standardize
- μ is the mean of the data set
- σ is the standard deviation of the data set
Here are the steps to calculate the z-score:
1. Determine the value you want to standardize (x).
2. Calculate the mean (μ) and the standard deviation (σ) of the data set.
3. Subtract the mean from the value you want to standardize (x - μ).
4. Divide the result by the standard deviation (σ) to get the z-score.
The z-score measures how many standard deviations an individual data point is away from the mean. A positive z-score indicates that the value is above the mean, while a negative z-score indicates that the value is below the mean. The magnitude of the z-score represents the distance from the mean in terms of standard deviations.
By calculating the z-score, you can compare different data points and determine their relative positions within a distribution. The z-score is useful for standardizing data and identifying outliers or unusual observations.
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make a rectangle that’s x(x+1)=60 with the quadratic formula
Answers
The rectangle with the formula x(x+1)=60 using the quadratic formula has length = 8.26 and width = 7.26.
Given that,
A rectangle has the formula,
x (x + 1) = 60
x² + x = 60
x² + x - 60 = 0
Using the quadratic formula,
x = -1 ± √1 -(4 × 1 × -60) / 2
= (-1 ± √241) / 2
x = 7.26
Width = 7.26
Length = x + 1 = 8.26
Hence the required length and width are 8.26 and 7.26.
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Bank ABC offers a 10 -year CD that pays a 5.0% interest compounded annually.
Bank XYZ also offers a 10 -year CD that pays 4.95% interest compounded daily.
How much would a $1,000 initial investment in each bank's CD be worth at maturity?
Bank ABC: ______
Bank XYZ: ______
(Enter answer in the form: $x,x×x.xx )
Answers
A $1,000 initial investment in Bank ABC's CD would be worth $1,628.89 at maturity. A $1,000 initial investment in Bank XYZ's CD would be worth $1,622.82 at maturity.
The formula to calculate the value of a CD after a specific duration at a specific interest rate compounded annually is given by:
A = P(1 + r/n)^(nt)
where P is the principal,
r is the annual interest rate,
n is the number of times compounded per year,
t is the number of years, and
A is the value of the CD at maturity.
Here, we need to calculate the value of a $1,000 initial investment in each bank's CD at maturity.
Let's calculate the value of a $1,000 investment in Bank ABC's CD.
P = $1,000
r = 5.0% compounded annually
t = 10 years
n = 1
We have all the values; let's put them in the formula and solve:
A = $1,000(1 + 0.05/1)^(1x10)A = $1,628.89
Therefore, a $1,000 initial investment in Bank ABC's CD would be worth $1,628.89 at maturity.
Let's calculate the value of a $1,000 investment in Bank XYZ's CD.
P = $1,000
r = 4.95% compounded daily
t = 10 years
n = 365
We have all the values; let's put them in the formula and solve:
A = $1,000(1 + 0.0495/365)^(365x10)A = $1,622.82
Therefore, a $1,000 initial investment in Bank XYZ's CD would be worth $1,622.82 at maturity.
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What is the y intercept of the line?
Answers
Answer:
It's 1
Step-by-step explanation:
Answer:
1
it passes the y axis at 1
3 more than 7 times a number x is 47
Answers
Answer:
x = 44/7
Step-by-step explanation:
7x+3 = 47
Subtract 3 from each side
7x+3-3 = 47-3
7x = 44
Divide by 7
7x/7 = 44/7
x = 44/7
Please help me!!
Select the correct answer.
Clarissa's sister makes weekly installment payments for a motorized scooter she purchased from a friend. She purchased the motorized scooter for $600 and is paying $18.75 a week to her friend until it is paid off.
Clarissa's sister wants to know when she has $150 left to pay for the motorized scooter.
Select the equation and solution for the number of months, x, it takes her to have $150 left to pay.
A) -18.75x + 600 = 150
Clarissa's sister will have $150 left to pay after 24 weeks.
B) 18.75x − 600 = 150
Clarissa's sister will have $150 left to pay after 8 weeks.
C) -18.75x + 150 = 600
Clarissa's sister will have $150 left to pay after 24 weeks.
D) 18.75x − 150 = 600
Clarissa's sister will have $150 left to pay after 8 weeks.
Answers
Answer:
(A.)
Step-by-step explanation:
Hope it helps :)
Have a good day/night
Brainliest pls?
Combine the like terms
2g + 15 + 3g + g + g- 18
Answers
Answer:
7g - 3
Step-by-step explanation:
2g + 15 + 3g + g + g - 18
2g + 3g + g + g + 15 - 18
7g - 3
Using the MATLAB command Taylor_GUI on the Math Linux network, give 4 significant digits of the exact error f(x)−P 3
(x) at x=1.4 of the Taylor polynomial P 3
(x) of degree 3 about a=2 of f(x):=ln(1+e x
). Note: the command Taylor_GUI exists only on the Math Linux network.
Answers
The given function is f(x) = ln(1 + e^x). We need to find the exact error f(x) - P3(x) at x = 1.4 of the Taylor polynomial P3(x) of degree 3 about a = 2 of f(x).
The Taylor polynomial P3(x) of degree 3 about a = 2 of f(x) is given by:
\(P3(x) = f(2) + f′(2)(x − 2) + f″(2)(x − 2)^2/2 + f‴(2)(x − 2)^3/6where f(2) = ln(1 + e^2) = 1.943,\)
\(f′(x) = e^x/(1 + e^x),\)
\(f′(2) = e^2/(1 + e^2) = 0.865,\)
\(f″(x) = e^x/(1 + e^x)^2 - e^x/(1 + e^x)^2, f″(2) = 0, f‴(x) = e^x(2e^x + 1)/[e^x + 1]^3 - 2e^x(2e^x + 1)/[e^x + 1]^3 + 2e^x(3e^x + 1)/[e^x + 1]^3, f‴(2) = 2/9.So, P3(x) = 1.943 + 0.865(x - 2) + 0(x - 2)^2/2 + (2/9)(x - 2)^3/6= 1.943 + 0.865(x - 2) + (1/27)(x - 2)^3.\)
Using the command Taylor_GUI on the Math Linux network,
we get \(f(1.4) = ln(1 + e^1.4) = 1.643and P3(1.4) = 1.943 + 0.865(1.4 - 2) + (1/27)(1.4 - 2)^3= 1.8224\)
The exact error is given by\(f(1.4) - P3(1.4) = 1.643 - 1.8224= -0.1794\) Rounding off to 4 significant digits,
we get the exact error f(x) - P3(x) at x = 1.4 of the Taylor polynomial P3(x) of degree 3 about a = 2 of f(x) is -0.1794.
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What is a cumulative response record? An experiment is conducted in which a child presses a button to earn candy. It yielded the following number of responses in successive 10-s periods: 0,1,2,1,3,4,6,9,10,7,9,8,9. a. Plot a cumulative response record for these responses. b. Plot the acquisition or response curve on a separate graph.
Answers
The plots are just rough sketches to give you an idea of how the cumulative response record and acquisition curve might look based on the provided data. a) figure 2 , b) figure3.
A cumulative response record is a graphical representation of the total number of responses accumulated over time in an experiment. It shows the cumulative sum of responses at each time point, indicating the overall progress or acquisition of the behavior being measured.
To plot a cumulative response record for the given data, you need to calculate the cumulative sum of responses at each time point. Here's how you can do it:
a. Plotting the cumulative response record:
Time (s) on the x-axis and Cumulative Sum on the y-axis.
Here's the plot: (Attached figure 2)
b. Plotting the acquisition or response curve on a separate graph:
Time (s) on the x-axis and Number of Responses on the y-axis.
Here's the plot: (Attached figure 3)
Therefore, the plots are just rough sketches to give you an idea of how the cumulative response record and acquisition curve might look based on the provided data.a) figure 2 , b) figure3.
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the scatter plot shows the price , in cents , of a postage stamp used to mail a letter in the united states for the years from 1958 to 2014. Also shown is a line of fit to model the data. the equation of the line of fit is y= -0.71 + 0.86x, where y represents the predicted price , in cents of a stamp and x represents the number of years since 1958
Answers
The model estimates an increase, on average of 0.86 cent per year in the price of the stamp.
What is meant by average?
Average The arithmetic mean is calculated by adding a set of numbers, dividing by their count, and then taking the result. For instance, the result of 30 divided by 6 is 5, which is the average of 2, 3, 3, 5, 7, and 10.Average, mean, median, and norm all refer to something that sits in the middle. The average is the ratio created by dividing the total number of figures in a set by the total number of figures. Scored 85 on tests on average. The term "mean" can refer to the simple average or to a figure that lies halfway between two extremes.An average of the values in a sample of data can be used to define a mean. So an average is also known as the arithmetic average.Equation of best fit line is y = -0.71 + 0.86x
y = predicted price in cents of a stamp.
x = represents the number of years since 1958.
Slope = 0.86 means rate of chance of price in cent per year slope is positive mean increase in price .
The model estimates an increase, on average of 0.86 cent per year in the price of the stamp.
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Triangle A'B'C' is formed by a reflection over x = -1 and dilation by a scale factor of 4 from the origin. Which equation shows the correct relationship between AABO
and AA"B"C"?
S
A"B" = 4BC
BC=4A"B"
AB 1
A"B"
=
00
Answers
\(\frac{AB}{A"B"} = \frac{1}{4}\) equation clearly illustrates how AABO and AA"B"C relate to one another.
What is equation ?An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.
The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.
Considering the data:
Dilation by a scale factor of 4 from the origin in the form of an A'B'C' reflection over x = 1
<=> The two triangles are comparable to one another since triangles can have the same shape but differ in size, so A′′B′′C′′ is 4 times larger than ABC.
=> the connection between "ABC" and "A"B"C" .
\(\frac{AB}{A"B"} = \frac{1}{4}\)
We settle on C.
\(\frac{AB}{A"B"} = \frac{1}{4}\) equation clearly illustrates how AABO and AA"B"C relate to one another.
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3x+6y=24 solve for y
Answers
Answer:
Solving for y
exact form for y = 4/3
Demical form for y = 1/3
Mixed number for y = 1 1/3
( BTW all of these answers all right it juts depends on what exactly there asking for, for example if there asking for the exact form for y it would be 4/3 )
A computer can download 3 megabytes in 5 seconds. If the computer downloads data at a constant rate, what is the linear equation that represents the number of megabytes downloaded per second?
A. y = −1.67x
B. y = −0.6x
C. y = 0.6x
D. y = 1.67x
Answers
The slope of the equation is 0.6, which means that for every second, the computer downloads 0.6 megabytes of data, option C is correct.
The linear equation that represents the number of megabytes downloaded per second can be determined by dividing the total amount of data downloaded (3 MB) by the time taken to download it (5 seconds). This gives us the rate of download in megabytes per second (MB/s). Therefore, the equation is:
y = 0.6x
where y represents the number of megabytes downloaded per second and x represents the time taken to download the data. The negative slope values in the other options do not make sense, as the number of megabytes downloaded per second should be a positive value, option C is correct.
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Complete the ratio table
Answers
Answer:
110
Step-by-step explanation:
101-86=15
95+15=110
110-15=95
Answer:
110
Step-by-step explanation:
In this problem, you are adding 15 to each Input to get the Output. That is why I added 15 to 95 in order to get 110.
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Answers
Answer:
question 12 is answer B
question 13 is -8x^3
Step-by-step explanation:
exponent rule \(\frac{a^m}{a^n} = a^(^m^-^n^)\)
HW 3: Problem 10 Previous Problem List Next (1 point) A sample of n = 10 observations is drawn from a normal population with μ = 920 and o = 250. Find each of the following: A. P(X > 1078) Probabilit
Answers
To find the probability P(X > 1078) in a normal distribution, we need to calculate the area under the curve to the right of 1078.
Given data are:
Sample size `n` = `10` Mean `μ` = `920` Standard deviation `σ` = `250`
We have to find:P(X > 1078)
Using the formula of standard score, The Z-value is calculated as:Z = X - μ/σZ = 1078 - 920/250Z = 0.672 The Z value is 0.672. The probability of P(X > 1078) can be calculated using the Z score table shown below: The probability can be determined from the Z table:0.2514.
Therefore, the probability of P(X > 1078) is `0.2514`.
Hence, the required probability is `0.2514`.
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The price of a video game at Game Word has increased from $36 to $45 each. What was the percent change?
Answers
Step-by-step explanation:
price difference= $45-$36
=$9
now,
x% of $45=$9
or, x/100 ×45 =9
or, x/20 ×9=9
or, x/20=1
therefore, x= 20%
the degree to which an instrument appears to measure what it is supposed to be measuring is referred to as:
Answers
Express the division expression as a fraction. 4 ÷ 3
Answers
Answer:
4/5 or 1 1/3
Step-by-step explanation:
4 over 5, or 1 and then 1 over 3
What are the vertex, focus, and directrix of the parabola whose equation is y-5= 1/12 (x – 3)2?
Answers
Answer:
Step-by-step explanation:
Use the vertex form, y=a(x−h)2+k y = a ( x - h ) 2 + k , to determine the values of a a , h h , and k k . a=−112 a = - 1 12. h=3 h = 3. k=−2 k = - 2.
The hypotenuse and one leg of a right triangle measure 26 and 10, respectively. Find the measure of the third side. Which theorem is used to find the answer?
Answers
pythagorean theorem
Which of the following statements is true of the function ? Question 2 options: A) g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x right by 3 units and downward by 5 units. B) g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x left by 3 units and downward by 5 units. C) g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x right by 3 units and downward by 5 units. D) g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x left by 5 units and downward by 3 units.
Answers
Transformations are operators that can act on functions, modifying them in different ways. In this particular problem, we see the translations.
The correct option is B:
g(x) can be graphed by translating the basic rational function ƒ(x)= 1∕x left by 3 units and downward by 5 units.
Let's describe the transformations:
Horizontal translation:
For a general function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N)
If N is positive, the shift is to the left.
If N is negative, the shift is to the right
Vertical translation:
For a general function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
If N is positive, the shift is upwards.
If N is negative, the shift is downwards.
Now that we know this, let's see the problem.
We have:
\(g(x) = \frac{1}{x + 3} - 5\)
So, the original function is:
\(f(x) = \frac{1}{x}\)
Now from f(x) we can apply translations to create g(x).
If first, we apply a translation of 3 units to the left, we get:
\(g(x) = f(x + 3) = \frac{1}{x + 3}\)
If now we apply a translation of 5 units downwards, we get:
\(g(x) = f(x + 3) - 5 = \frac{1}{x + 3} - 5\)
So we can conclude that the correct option is B:
g(x) can be graphed by translating the basic rational function ƒ(x) 1∕x left by 3 units and downward by 5 units.
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help with all these problems 45 points of done well and will mark brainliest help with all of the undone problems plzz
Answers
Answer:
Page 1:
3. 0
4. 1/2
5. 1
6. 1/2
7. 1/2
8. 1
9. 0
10. 1
11. 1/2
12. 1/2
13. 0
14. 1
Page 2:
15. 1/2
16. almost all of them
17. almost all of his book
18. circle 2/11 write: The other fractions are close to half but 2/11 is close to 0
Page 3:
1. 1/2
2. 1/3
3. 3/4
4. 1/6
5. 8/15
6. 3/5
7. 1/4
8. 1 3/7
9. 1 1/2
10. 2 1/3
11. 5 1/2
12. 4 2/7
13. 5 1/8
14. 1 3/4
I BEGG I'LL GIVE 100 POINTS
Answers
Answer:
Ok what do you need help on
Step-by-step explanation:
Answer:
how do u need help? What one?
Step-by-step explanation: