It takes 10 minutes for the number of bacteria in the population to double.
To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.
The given function is f(t) = 60,000 * 2^(t/10).
To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:
120,000 = 60,000 * 2^(t/10).
Next, we can simplify the equation by dividing both sides by 60,000:
2 = 2^(t/10).
Since both sides of the equation have the same base (2), we can equate the exponents:
t/10 = 1.
To solve for t, we multiply both sides by 10:
t = 10.
Therefore, it takes 10 minutes for the number of bacteria in the population to double.
This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.
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i need help my people
Answer:
no
Step-by-step explanation:
If all of their coresponding angles will have the same measure (AAA Th. of symilarity) then thhey will be symilar
84.6+30.4+66=181 not 180
Which of the following systems of inequalities has point D as a solution?
Answer:
f(x) \(\leq\) 3x + 4
g(x) ≥ -1/2x - 5
Step-by-step explanation:
Point D is below f(x) and above g(x)
Helping in the name of Jesus.
A resort hotel rents bicycles for 20 plus and hourly rate of $6. A nearby hotel rents bicycles for 15$ plus an hourly rate of $8
a line passes through the origin and(5,3). identify two additional points on this line
The equation of the line passes through the origin and (5,3) is y = 3 / 5x and two points are (5 / 3, 1) and (10/3, 2).
What is line?An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.
Given:
A line passes through the origin (0, 0) and(5,3),
The equation of the line will be,
y - 0 = 3-0 / 5-0 (x -0)
y = 3 / 5x
Put y = 1 then x = 5 / 3
Put y = 2 then x = 2 × 5 / 3 = 10 / 3
Therefore, the equation of line passes through the origin, and (5,3) is y = 3 / 5x and two points are (5 / 3, 1) and (10/3, 2).
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Maria is using her beads to make bracelets. Each bracelet needs 12 beats, and Maria has 140 beats. How many bracelets will she be able to make?
Answer:
she can make 11 bracelets
Step-by-step explanation:
140 / 12 - 11.67
change to exponential form
(4√ x5)
What are the asymptotes of the function? Check all that apply.
x = 0
x = 19,800
y = 0
y = 19,800
The horizontal asymptote of the given function is 0
Given the function y = 19800/x
Vertical asymptote occurs at when f(x) = 0 where;
f(x) is the denominator of the given function.
From the expression given: f(x) = x
Since f(x) => 0, hence x = 0
To get the horizontal asymptote, we will look at the degree of the numerator and denominator.
If the degree of numerator is less than the denominator,
the horizontal asymptote will be zero. From the function, we can see that the degree of the numerator is zero (being a constant) and that of the denominator is 1.
Since 0<1, hence the horizontal asymptote is 0
x = 0, y = 0
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5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
help with homework pls
Answer:
no
Step-by-step explanation:
orka:sweet potato
15:8 = 1.875
350:160 = 2.1875
The slant height of a cone measures 26 centimeters. The height of the cone measures 24 centimeters.
What is the exact surface area of the cone?
Enter your answer in the box.
Answer:
the answer is 2600π or in other words 8168.1
Answer:
The answer is 360 pi
Step-by-step explanation:
I don't really have an explanation, I just took the test
Solve the system of equations. y=6x+5 y=8x-7 what does x and y equal?
A mint milk shake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream. A strawberry milk shake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream. Which milk shake is thicker? Explain.?
Both milkshakes have the same thickness.
How to find the thickness of milk?
Given,
A mint milkshake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream.A strawberry milkshake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream.Solution:
Since the mint milkshake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream,One ounce ice equal = 1.25 / 4 = 0.35 ounce of milk.Since the strawberry milkshake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream,One ounce of ice equal = 1.75 / 5 = 0.35ounce of milk.Since both have an equal milk-ice ratio, both milkshakes have the same thickness.To learn more about ratios, refer
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pls help. .............
Answer:
(4,2.5)
Step-by-step explanation:
Anthony has saved $15 of the $140 he needs to purchase a new bicycle. He plans to save $15 each week w, until he has enough money to buy the bicycle. Write an equation to find the number of weeks it will take Anthony to save enough money to buy the bicycle.
Answer:
(140-15)÷15=W
Step-by-step explanation:
140-15=125
125 still needed. divide that by the amount that will be saved each week which is 15 a week and you get 8.3. If they want an actual answer you would say 9 weeks because if you only did 8 Anthony would be short $5 so hed have to wait an additional week to have enough to cover the purchase. So thats why the answer would be 9
Brainliest please!!!
A cylinder has a height of 5 feet. Its volume is 1,570 cubic feet. What is the radius of the cylinder? Use ≈ 3.14 and round your answer to the nearest hundredth.
The radius of the cylinder is equal to 10 feet.
How to calculate the volume of a cylinder?In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.By substituting the given parameters into the formula for the volume of a cylinder, we have the following;
V = πr²h
1,570 = 3.14 × r² × 5
1,570 = 15.7r²
r² = 1,570/15.7
r² = 100
Radius, r = √100
Radius, r = 10 feet.
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The common multiples of 3 and 4 are: ____ And ____?
Answer:
1
Step-by-step explanation:
3: 1, 3
4: 1,2,4
So only one can work.
Hope this helps you!! :D
Answer:
1 & 12
Step-by-step explanation:
2 and 1/4 divided by 1 and 2/5
Answer: 1 17/28
Step-by-step explanation:
2 1/4 ÷ 1 2/5
=9/4 ÷ 7/5
= 9/4 × 5/7
= 9 x 5 = 45
4 x 7 = 28
= 45/28
ANSWER : 1 17/28
Un bloque de vidrio flint tiene un espesor de 4 cm, ¿qué espesor aparenta tener cuando se le ve desde arriba?
Answer: El índice de refracción del vidrio flint es mayor que el del aire. Cuando la luz pasa de un medio con un índice de refracción menor (como el aire) a un medio con un índice de refracción mayor (como el vidrio), experimenta un cambio de dirección. Este fenómeno se conoce como refracción.
Cuando observamos el bloque de vidrio flint desde arriba, la luz que proviene del bloque sufre refracción al pasar del vidrio al aire. Debido a la refracción, los rayos de luz se desvían y parecen venir de una posición más alta dentro del vidrio de lo que realmente están. Esto crea una ilusión óptica que hace que el espesor aparente del bloque de vidrio se vea más delgado de lo que realmente es.
La cantidad exacta de adelgazamiento aparente depende del ángulo de incidencia de la luz y de los índices de refracción del vidrio y el aire. Sin más información, no es posible determinar el espesor aparente específico del bloque de vidrio flint cuando se ve desde arriba.
Step-by-step explanation:
15x63+43-536+74-635+563
Answer: 545
Step-by-step explanation:
Answer:
454
Step-by-step explanation:
Hope This Helps
Have A Great Day
Find the cube root of 50,653 using estimation method. Give in steps
Answer:
50653 is said to be a perfect cube.
Step-by-step explanation:
Because 37 x 37 x 37 is equal to 50653. Since 50653 is a whole number, it is a perfect cube. The nearest previous perfect cube is 46656 and the nearest next perfect cube is 54872 .
74+783+7393783993+83938
Lets start with question 2. In this case, we have
\(39>156g\)By substituting g=1|/4, we get
\(39>156\times\frac{1}{4}\)which gives
\(\begin{gathered} 39>\frac{156}{4} \\ 39>39 \end{gathered}\)But this result is incorrect because 39 is equal to 39 not greater than 39. So, the answer is false.
Question 3.
In this case, we have the following expression:
\(\frac{f}{4}\le3\)By substituting f = 12, we have
\(\frac{12}{4}\le3\)which gives
\(3\le3\)This result is correct because the symbol
\(\le\)means "equal or less than". Then, our last result means 3 equal or greater than 3. So, the answer is true because 3 is equal to 3.
Question 4.
In this case, the expression is
\(121-98\ge r\)By substituting r=23, we get
\(121-98\ge23\)On the left hand side, we have 121-98=23, then, our last result is equal to
\(23\ge23\)and this is true, because the symbol
\(\ge\)means "greater or equal to".
The difference between accuracy and precision
Answer:
Accuracy is the degree of closeness between a measurement and the measurement's true value. Precision is the degree to which repeated measurements under the same conditions are unchanged.
Definition With Example
Accuracy refers to the closeness of a measured value to a standard or known value. ... Precision refers to the closeness of two or more measurements to each other. Using the example above, if you weigh a given substance five times, and get 3.2 kg each time, then your measurement is very precise.
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Eighteen middle-aged women with platelet readings between 120,000 platelets per microliter and 150,000 platelets per microliter of blood were selected randomly from the population of similar female patients at a large local hospital. Nine of the 18 women were assigned randomly to group A and received a placebo. The other nine women were assigned to group B and received a new platelet drug. After four months, posttreatment platelet readings were taken for all 18 women and were compared with pretreatment readings. The reduction in platelet level (Pretreatment reading − Posttreatment reading) for each woman in the study is shown here.
Group A (placebo) increase (in platelets per microliter): 2,000, 5,000, 7,050, 10,125, 12,345, 17,350, 13,250, 12,200, 9,125
Group B (platelet drug) increase (platelets per microliter): 28,450, 23,438, 36,380, 12,450, 16,100, 21,350, 39,400, 41,000, 14,325
Create and interpret a 95% confidence interval for the difference in the placebo and the new drug.
The blood platelet count is an illustration of normal distribution,
Approximately 95% of the data lies within 2 standard deviations of the mean.
There are approximately 99.7% of women with platelet count between 65.2 and 431.8.
Given parameters are:
μ = 248.5
σ = 61.1
(a) The percentage within 2 standard deviation of mean or between 126.3 and 370.7,
Start by calculating the z-score, when x = 126.3 and x = 370.7
Z = x-μ / σ
Therefore,
Z = 126.3-248.5/61.1
Z = -2
Also,
Z = 370.7-248.5/61.1
Z = 2
The empirical rule states that:
Approximately 95% of the data lies within 2 standard deviations of the mean.
Hence, there are approximately 95% of women with platelet count within 2 standard deviations of the mean.
(b) The percentage with platelet count between 65.2 and 431.8
Start by calculating the z-score, when x = 65.2 and x = 431.8
Z = 65.2-248.5/61.1
Z = -3
And,
Z = 431.8-248.5/61.1
Z = 3
The empirical rule states that:
Approximately 99.7% of the data lies within 3 standard deviations of the mean.
Hence, there are approximately 99.7% of women with platelet count between 65.2 and 431.8.
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Find the measure of < 6.
Answer:
Angle 6 = 70
Step-by-step explanation: Using vertical angles if you look across from angle 6 you would see the angle of 70 degrees which means they are equal because they're across from each other.
What formula do I use for this? How do I get the points to graph?
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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Find m and c for this line
Y+3x=1
Answer:
m = -3 ; c = 1
Step-by-step explanation:
y = -3x + 1
y = mx + c
m = -3
c = 1
Fill in the boxes to add the expressions.
(5.19+4m)+(4.18+3.95m) = (4m+_)+(5.19+_)=_
Using common factor method, sum of the given expressions is 17.14m + 9.37
what is common factor ?
In mathematics, a common factor is a factor that two or more numbers have in common. For example, the numbers 12 and 18 have common factors of 1, 2, 3, and 6. The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.
In algebra, we often use the term "common factor" when referring to expressions. When two or more algebraic expressions have a factor in common, we can use the distributive property to factor out the common factor.
According to the question:
To add the expressions (5.19+4m)+(4.18+3.95m), we can first group the like terms:
(5.19 + 4.18) + (4m + 3.95m)
9.37 + 7.95m
So, the sum of the expressions is:
(5.19+4m)+(4.18+3.95m) = 9.37 + 7.95m
Now, we can use the distributive property to factor out a common factor of m from 7.95m:
9.37 + 7.95m = 4m + (5.19 + 7.95)m
We can factor out a common factor of 1 from (5.19 + 7.95)m:
4m + (5.19 + 7.95)m = (4 + 5.19 + 7.95)m
Adding the coefficients, we get:
4 + 5.19 + 7.95 = 17.14
Therefore, the sum of the expressions is:
(5.19+4m)+(4.18+3.95m) = (4m+5.19)+(3.95m+4.18)= 17.14m + 9.37.
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The sum of two numbers is "-46" . One number is 13 more than the other one. Find the numbers.
the best way to solve this is using a system. let's pretend the two numbers we have are notated using the variables x and y.
our first equation is this:
x + y = -46. the sum of the two numbers x and y is -46.
our first equation is this:
x + 13 = y. here, the variable doesn't really matter. so, what this says is that y is 13 greater than x.
now, you know how to represent y in terms of x. plug the second equation into the first and you get this:
x + ( x + 13) = -46.
solve this:
2x + 13 = -46
2x = -59
x = -29.5
now, we know what x equals. using the second equation we created,
x + 13 = y, we can figure out what y equals. so, let's plug x in.
-29.5 + 13 = y
y = -16.5
you've got x and y now! i hope i helped you.
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determine the intercepts of the line.
x- intercept _,_
y- intercept _,_
HELP ME ASAPPP
Answer:
x-intercept (-7 , 0)
y-intercept (0 , 2)
Step-by-step explanation:
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.
Answer:
B
Step-by-step explanation: it is a quadratic equation it can only have two intercepts