The number of bacteria present after 13 hours is 5,306.
What is the number of bacteria after 13 hours?
The number of bacteria present after 13 hours is calculated by applying half-life equation.
N = N₀ x 2^(t / d)
Where:
N₀ is the initial number of bacteria (3,000)N is the final number of bacteria we want to findt is the time elapsed d is the doubling time of the bacteria populationSince the bacteria population grew from 3,000 to 3,600 in 6 hours, the value of d is calculated as follows;
3,600 = 3,000 x 2^(6 / d)
3600/3000 = 2^(6 / d)
1.2 = 2^(6 / d)
log2 (1.2) = 6/d
0.38 = 6/d
d = 6/0.38
d = 15.8 hours
The number of bacteria after 13 hours is calculated as follows;
N = 3,000 x 2^(13 / 15.8)
N = 5,306.5 ≈ 5,306
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The complete question is below:
A culture started with 3,000 bacteria. After 6 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present in 13 hours. round your answer to the nearest whole number.
Given the equation find f=4
F(x)=x+1
Answer:
F(4)=5
Step-by-step explanation:
F(x)=x+1
F(4) means that x is 4
F(4)=4+1 = 5
F(4)=5
When the tax rate does not change with respect to the amount of income, it is a flat tax.
O True
O False
Answer:
False
Because it is called Proportional Tax
The fixed-rate doesn't increase or decrease as income rises or falls. An individual who earns $25,000 annually would pay $1,250 at a 5% rate, whereas someone who earns $250,000 each year would pay pays $12,500 at that same rate
Jill claims that for positive fractions a/b+a/c= a/b+c because the fractions have a common numerator. How do you respond?
Answer:
Jill is incorrect.
Step-by-step explanation:
To add fractions, you need a common denominator, not a common numerator, so Jill is incorrect and her sum of fractions is incorrect.
The correct addition is:
\( \dfrac{a}{b} + \dfrac{a}{c} = \dfrac{ac}{bc} + \dfrac{ab}{bc} = \dfrac{ac + ab}{bc} \)
HELP HELP PLEASE
In the basketball game, Rachael scored 6 points less than triple the number of points Trina scored. Trina scored 16 points, How many points did Rachael score?
Answer:
Rachael scored 42 points.
Step-by-step explanation:
In order to solve this, we must first find triple Trina's score, so we multiply 16 * 3 which simplifies to 48. Since the question asks for 6 points less than this score, we find subtract 48 - 6 which simplifies to 42.
Find the value of x in each case.
2x/3 divided by 3x/2 if x does not equal 0
The value of the expression 2x/3 ÷ 3x/2 when x ≠ 0 is 4/9.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2x/3 ÷ 3x/2 when x ≠ 0.
This can be written as,
= (2x/3) x (2/3x)
= 2/3 x 2/3
= 4/9
Thus,
The value of the expression is 4/9.
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In the expression x2 + 4x2 + 16x2, x2, 4x2, and 16x2 are examples of _____
Answer:
345-345 x 234567890
Step-by-step explanation:
asi queda el doble
Please create an argument about a National Landmark/Monument. Do you think there is a monument/landmark out there that should not be a National Monument? Should we make a new National monument or landmark? Why or why not?
Give 3 good reasons to back up your claim, and each reason paragraph should be supported with pieces of research, and your own words.
You will need
(Introductory Paragraph) I think _____ because (reason 1, 2, 3).
(Reason 1 Paragraph) First, (give first reason). My evidence is...
(Reason 2 Paragraph) Second, (give second reason). My evidence is...
(Reason 3 Paragraph) Third, (give third reason). My evidence is...
(Conclusion Paragraph) In conclusion, (reason 1, 2, 3) supporting the idea that ____.
Explanation:
The tallest national monument in America, it is a legendary engineering triumph, designed by Finnish-born architect Eero Saarinen. As part of the Jefferson National Expansion Memorial, the Gateway Arch serves to commemorate the accomplishments of 19th-century westward pioneers and celebrate the city’s role as the ‘Gateway to the West.’
Hope This Helps :)
Answer the following questions with TRUE or FALSE. It is good practice to explain your answers. (a) The intersection of two events A and B can be larger than the union of the same two events A and B (b) The probability of a single event A must be smaller than or equal to the union of two events A and B (c) The condition probability of A given B must be smaller than the intersection of the same two events A and B
a) The statement " The intersection of two events A and B can be larger than the union of the same two events A and B" is False.
b) The statement " The probability of a single event A must be smaller than or equal to the union of two events A and B" is False.
c) The statement " The condition probability of A given B must be smaller than the intersection of the same two events A and B" is False.
(a) False. The intersection of two events A and B represents the set of outcomes that are common to both A and B, while the union of the same two events A and B represents the set of outcomes that belong to either A or B or both. Hence, it cannot be larger than the union of A and B.
(b) False. The probability of an event A must be between 0 and 1 (inclusive), while the union of two events A and B represents the set of outcomes that belong to either A or B or both. The probability of the union of A and B is the sum of the probabilities of A and B, which can be larger than the probability of A.
(c) False. The conditional probability of A given B, denoted as P(A|B), represents the probability of event A occurring given that event B has already occurred. Since the intersection of A and B must be less than or equal to 1, the conditional probability of A given B must also be less than or equal to 1.
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Use the drop-down menus to label the points on the number line will mark brainliest
Answer:
A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Point A is halfway between negative 2 and negative 1. Point B is 1 mark to the right of negative 1. Point C is 1 mark to the left of 1. Point D is 1 mark to the left of 2.
Use the drop-down menus to label the points on the number line.
Point A is at
✔ -1 2/4
.
Point B is at
✔ -3/4
.
Point C is at
✔ 3/4
.
Point D is at
✔ 1 3/4
.
Step-by-step explanation:
Branliest PLZ!!!!!!! <3
Answer:Use the drop-down menus to label the points on the number line.
Point A is at
✔ -1 2/4
.
Point B is at
✔ -3/4
.
Point C is at
✔ 3/4
.
Point D is at
✔ 1 3/4
.
Step-by-step explanation:
also the guy above me is 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 percent right
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEE MARK MEEEEEE AS BRANLEIST PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLEASE
davey read 58 pages on saturday and p pages on
The value of p is 15
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: Davey reads 58 pages on Saturday and on rest of the days p pages per day
Therefore everyday he reads 58+p pages per day
If he reads for 10 days and he reads a total 1408 pages then we have
In a week there is one Saturday
thus
9p+58=1408
9p=1350
p=15
Thus on the other days p is equal to 15 pages per day.
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The complete question is Davey reads 58 pages on Saturday and p pages on other days and on a span of 10 days he reads 1408 pages. Find the value of p.
Profit is defined as total revenue minus total cost. The profit function of a company that manufactures and sells x units of a product is given by P(x)= R(x)-C(x), where
Prepresents the company's profits, R represents the company's revenue, and C represents the company's cost. If a company sells a calculator for $11, its revenue
function is R(x)=11x. The cost of each calculator manufactured is $8. In addition, it renewed its lease on the plant, so its weekly fixed costs are $1220.
(a) Determine the profit function. (b) Determine and interpret P(800)
Answer:
a.) P(x)= 3x - 1120
b.) make $1,180 profit in 1 week by selling 800 calculators
Step-by-step explanation:
a.) P(x)=R(x)-C(x)
R(x)=11x; C(x)=8x + 1220 assuming they are asking for profit in a week
P(x)= 3x - 1220
b.) P(800) = 3(800) -1220 = 1180
Need help and answer
The kind of evidence geologists use to make geological timelines of events in Earth's history is the fossil remains.
What is a geological timeline?A geological timeline shows a calendar of events in Earth's history.
To develop geological timelines, scientists understudy physical objects or structures on the Earth. These objects or structures enable them to prove a phenomenon of interest.
Generally, the best form of evidence for the study of the history of life on earth is fossils, as they give clues about geological events and past climates, including the ages of rocks.
Other kinds of evidence for developing geological timelines include the following:
Soil patternsRock kindsGlacier shapesLand structures.Thus, fossils provide the best kind of evidence for geological timelines.
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Is x = 3 a solution to the equation x + 7 = 11?
A. No, because 3+ 7 = 11 is true.
B. No, because 3 + 7 = 11 is not true.
C. Yes, because 3 + 7 = 11 is true.
D. Yes, because 3+ 7 = 11 is not true.
SUBMIT
Answer:
NO, because 3+7=11 is not true
Step-by-step explanation:
x+7=11
collect like terms
x=11-7
x=4
therefore x is not equal to 3 because 7+3=10 and not 11
Julie thinks this will mean the prices will be reduced to $0 after the four reductions because 4 x
25% = 100%.
Explain why Julie is wrong
Answer:
4x25/100=1
Step-by-step explanation:
How I came up with it
4÷100=25
25÷25=1
Julie will only get a 1% discount
Hope it helps
The management of a chain of frozen yogurt stores believes that t days after the end of an advertising campaign, the rate at which the volume V (in dollars) of sales is changing is approximated by V ' ( t ) = − 26400 e − 0.49 t . On the day the advertising campaign ends ( t = 0 ), the sales volume is $ 170 , 000 . Find both V ' ( 6 ) and its integral V ( 6 ) . Round your answers to the nearest cent.
Answer:
Step-by-step explanation:
Given the rate at which the volume V (in dollars) of sales is changing is approximated by the equation
V ' ( t ) = − 26400 e^− 0.49 t .
t = time (in days)
.v'(6) can be derived by simply substituting t = 6 into the modelled equation as shown:
V'(6) = − 26400 e− 0.49 (6)
V'(6) = -26400e-2.94
V'(6) = -26400×-0.2217
V'(6) = $5852.88
V'(6) = $5,853 to nearest dollars
V'(6) = 585300cents to nearest cent
To get v(6), we need to get v(t) first by integrating the given function as shown:
V(t) = ∫−26400 e− 0.49 t dt
V(t) = -26,400e-0.49t/-0.49
V(t) = 53,877.55e-0.49t + C.
When t = 0, V(t) = $170,000
170,000 = 53,877.55e-0 +C
170000 = 53,877.55(2.7183)+C
170,000 = 146,454.37+C
C = 170,000-146,454.37
C = 23545.64
V(6) = 53,877.55e-0.49(6)+ 23545.64
V(6) = -11,945.63+23545.64
V(6) = $11,600 (to the nearest dollars)
Since $1 = 100cents
$11,600 = 1,160,000cents
Given the graph of f(x), determine the range of f−1(x).
Rational function with one piece decreasing from the left in quadrant 2 asymptotic to the line y equals 3 and passing through the point 0 comma 2 and asymptotic to the line x equals 2 and another piece decreasing from the left in quadrant 1 asymptotic to the line x equals 2 passing through the point 4 comma 4 asymptotic to the line y equals 3.
ℝ
(2, ∞)
(−∞, 2) ∪ (2, ∞)
(−∞, 3) ∪ (3, ∞)
Given the graph of f(x), the range of f⁻¹(x) is; (−∞, 2) ∪ (2, ∞)
How to find the range of the function?The range of a function is defined as the set that is composed by all the output values on a function. Thus, on the graph, the range of a function is composed by the values of y of the function.
For the inverse function, the input and the output are exchanged, and as such given the graph of a function, we can say that the range of the inverse function is given by the domain of the initial function, which is, the values of x of the graph of the original function.
From the description of the rational function, we are told that the asymptote is given as: x = 2
Thus, the domain of the graphed function, would be the same as the range of the inverse function, will be given by the interval:
(−∞, 2) ∪ (2, ∞).
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1 < (c - 1)^2 ≤ 36
What is the greatest integer solution to the inequality above?
Answer:
The greatest integer solution to the inequality 1 < (c - 1)^2 ≤ 36 is c = 6.
Step-by-step explanation:
21 regular sodas and 49 diet sodas. What percentage of the sodas served were regular?
Answer:
30% of the sodas were regular sodas
Step-by-step explanation:
Add 21 and 49 to get the total number of sodas and 21+49=70. To get the percentage, divide 21 by 70 (21÷70) is 0.3 or 30%.
To check, do 30% (or 0.3) • 70 and you will get 21.
A train traveled 95 mph for 4 hours, stopped for an hour, and then traveled 40mph for 5 hours. Train Z traveled an average speed of 50 mph for 7hours. Which train traveled a greater distance?
The first train traveled a greater distance.
How to calculate which train traveled a greater distanceUsing the formula, distance = speed × time.
Let's call the distance traveled by the first train "T1".
For the first part of the journey, the train travelled at 95 mph for 4 hours,
hence,
Distance is 95 x 4 = 380 miles.
For the second part of the journey was at 40 mph for 5 hours,
Hence, the distance covered is
40 x 5 = 200 miles.
Therefore, total distance covered by the first train is
380 + 200 = 580 miles.
Let's call the distance traveled by the second train "T2".
The second train traveled at an average speed of 50 mph for 7 hours, so the distance covered was
50 x 7 = 350 miles.
Therefore, T1 = 580 miles and T2 = 350 miles and, so the first train traveled a greater distance.
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For which equation is x=5 a solution?
2+x=3
2 plus x is equal to 3
3x=15
3 x is equal to 15
x2=10
, x over 2, is equal to 10
x−7=12
x minus 7 is equal to 12
What is the base of a triangle that has a height of 6 centimeters and an area of 18 centimeters? Use the formula h = StartFraction 2 A Over b EndFraction, where A represents the area of the triangle, h represents the height, and b represents the length of the base. One-third centimeter Two-thirds centimeters 3 Centimeters 6 Centimeters
Answer:
The base is 6cm
Step-by-step explanation:
Using \(\frac{1}{2}\)bh=area, you just plug in 6 for h and 18 for area and solve. The formula should be 3b=18, which equals 6
The solution is Option D.
The length of the base of the triangle is B = 6 cm
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the area of the triangle be represented as A
Now , the value of A = 18 cm²
Let the base of the triangle be B
Let the height of the triangle be H = 6 cm
Now , area of the triangle = ( 1/2 ) x Length x Base
Substituting the values in the equation , we get
18 = ( 1/2 ) x B x 6
18 = 3B
Divide by 3 on both sides of the equation , we get
B = 6 cm
Hence , the base length of the triangle is B = 6 cm
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Help me what is X/5-3/7
Answer:
15/7 or 2.142
Step-by-step explanation:
x=3/7×5
x=15/7
What does absolute value tell you
Answer:
the magnitude of a real number without regard to its sign.
Step-by-step explanation:
Ms. Keenan is a high school teacher who wants to know how much time students spend studying each day. She finds that the average student spends 3.00 hours a day studying (s - 0.75). Assuming that studying hours is normally distributed, what percentage of students study less than 2.50 hours a day?
© 25.14 percent
© 19.15 percent
© 10.93 percent
© 24.86 percent
The requried, percentage of students who study less than 2.50 hours a day is approximately 25.14 percent.
What is the Z -a score?A Z-score is stated as the fractional model of data point to the mean using standard deviations.
We need to convert 2.50 hours to a standard score (z-score) using the formula,
z = (x - μ) / σ
where x is the value we want to convert, μ is the mean, and σ is the standard deviation.
z = (2.50 - 3.00) / 0.75
z = -0.67
This means that 2.50 hours is 0.67 standard deviations below the mean.
We can use a standard normal distribution table or a calculator to find the percentage of the distribution that falls below this standard score. For example, using a standard normal distribution table, we can look up the area to the left of z = -0.67 and get:
P(z < -0.67) = 0.2514
So the correct answer is (a) 25.14 percent.
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Which expression is equivalent to (r Superscript negative 7 Baseline) Superscript 6?
r Superscript 42
StartFraction 1 Over r Superscript 42 Baseline EndFraction
Negative 7 r Superscript 6
StartFraction 1 Over r EndFraction
The correct option is \(r^{-42}\) is not equivalent to \((r^{-7} )^{6}\) .
Algebraic expression: what is it?
Variables, constants, and mathematical operations like addition, subtraction, multiplication, division, and exponentiation can all be found in an algebraic statement. In many branches of mathematics, science, engineering, and finance, issues are represented and solved using algebraic expressions.
The expression \((r^{-7} )^{6}\) can be simplified using the rule of exponentiation which states that raising a power to another power involves multiplying the exponents. Applying this rule, we get:
\((r^{-7} )^{6}\) = \(r^{-42}\)
Therefore, the expression \((r^{-7} )^{6}\) is equivalent to \(r^{-42}\), which is the first option given.
Option 1: \(r^{-42}\) is not equivalent to \((r^{-7} )^{6}\) .
Option 2: 1/ \(r^{-42}\) is also not equivalent to \((r^{-7} )^{6}\) .
Option 4: \(r^{-1}\) is also not equivalent to \((r^{-7} )^{6}\) .
Therefore, the correct option is (a) \(r^{-42}\).
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Answer:
A
Step-by-step explanation:
get the fraction division of 4/7 of 48, get 5/7 of 75, get 1/7 of 76, get 3/6 of 21 please
Answer:
84, 105, 532, 42
Step-by-step explanation:
Multiply 48 by 7/4 = 84.
Multiply 75 by 7/5 = 105.
Multiply 76 by 7 = 532.
Multiply 21 by 2 = 42.
The Fairplay sporting goods store sells two
different models of a popular fitness tracker. In
a month the store sold 42 trackers for a total of
$6,574. Write and solve a system of equations
that can be used to determine the number of
each unit sold.
The final statement is The linear equation is xx₁+xy₁=6532
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: Total trackers sold =42 and total sales=$6574
let x models of 1st model and 42-x models of 2nd model be sold and their respective selling price be x₁ and y₁, then we have
xx₁+42+xy₁=6574
xx₁+xy₁=6532
Hence, The linear equation is xx₁+xy₁=6532
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given that y a 1/x^2 complete this tables of values
x 1 2 5 10
y 100
The table with the numeric values of the function y = a/x² is given by the image presented at the end of the answer.
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
The function for this problem is defined as follows:
y = a/x².
When x = 1, y = 100, hence the coefficient a is calculated as follows:
100 = a/1
a = 100.
Meaning that the function is defined as follows:
y = 100/x².
To find the numeric value at x = 2, we replace the lone instance of x by 2, as follows:
y = 100/2² = 100/4 = 25.
The numeric value at x = 5 is then found as follows:
y = 100/5² = 100/25 = 4.
The numeric value at x = 10 is then found as follows:
y = 100/10² = 100/100 = 1.
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$1,700 is deposited in an account that pays 6.5% annual interest, compounded annually. What is the balance after 3 years?
Answer: $2053.51
Step-by-step explanation:
The formula for compound interest is \(A=P(1+\frac{r}{n} )^{nt}\)
Where
A = final amount
P = initial principal balance (1700 for this)
r = interest rate (0.065 for this)
n = number of times interest applied per time period (1 for this)
t = number of time periods elapsed (3 for this)
\(A=1700(1+\frac{0.065}{1})^{(3)(1)} \\A=1700(1.065})^{3} \\A=2053.51435\)
Rounded that is 2053.51