Initial size of bacteria is 313, population of bacteria after 5 hours is 3.346 ×10¹¹.
What is bacterial growth?here growth means increases in the number of bacterial populations with respect to time. Generally, the rate of growth of bacteria is occurred exponentially. We use the following exponential equation to calculate the number of bacteria.
N= N° e∧(kt)
How to calculate the initial sizes of bacteria and the population after certain time period?In the above equation, N and N° denotes the number of populations after t minutes and initial time respectively.
k is a constant of proportion
t is the time in minutes
as per given data, the number is doubled after 10 min
N=2N°, t=10
2N°=N° e∧(k10)
2= e∧(k10)
㏑2 = k10 [we took ㏑ in both side]
k= 0.0693
after t= 80 min, the population N= 80000
now using the equation, 80000=N° e∧(k80)
as k=0.0693, N°= 313
the initial number is 313'
after t=5 hours =300 min, the population will be
N= 313 e∧ (0.0693x300)
N = 3.346×10¹¹
hence, initial population is 313 and the number increase to 3.346×10¹¹ after 5 hours.
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Snail moves 6 inches in 120 minutes. What was average speed of snail in inches per minute
Answer:
.2 inches a min.
Step-by-step explanation:
Answer:
0.05
Step-by-step explanation:
6 divided by 120 = 0.05
Hope this helps☺️
Please help!!!!!!!!! Anyone please
Answer:
A
Step-by-step explanation:
CAN SOMEONE HELP ME ASAP PLZZ.
Answer:
go to this website called free test sheet . com
Step-by-step explanation:
okay the website will help you
Un profesor de Enseñanza Básica le indica a sus alumnos que escojan tres dígitos
diferentes del conjunto {1, 2, 3, 4, 5} y formen números mixtos colocando los dígitos
en el casillero . También les recuerda que la parte fraccionaria tiene que ser
menor que 1, por ejemplo
2
3
5
. ¿Cuál es la diferencia entre el mayor y el menor de los
números mixtos que se pueden formar?
Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.
A mixed number is a number that has both a whole number and a fraction component. To form three-digit mixed numbers, we need to have a whole number that is less than 100 and a proper fraction that has a denominator less than or equal to 99. Here are some examples:123 4/567 2/8109 1/2382 3/47There are a total of 900 three-digit numbers that can be formed using digits 1 to 9 without repetition. To find the number of three-digit mixed numbers that can be formed, we need to count the number of ways we can choose a proper fraction with a denominator less than or equal to 99. There are 99 possible denominators, and for each denominator, there are 98 possible numerators (excluding 0 and the denominator itself). Therefore, the total number of three-digit mixed numbers that can be formed is:900 x 99 x 98 = 8,334,600There are 8,334,600 three-digit mixed numbers that can be formed using digits 1 to 9 without repetition.For such more question on fraction
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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.
How to solveThe three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.
The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.
The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.
The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.
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The Question in English
A Basic Education teacher tells his students to choose three digits
different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits
in the locker It also reminds them that the fractional part has to be
less than 1, for example
2
3
5
. What is the difference between the greatest and the least of the
mixed numbers that can be formed?
3. A rectangular room measures 18 feet by 24 feet. Carpeting for the floor costs $52 per square y
What is the total price to carpet this floor?
Answer:
$2496
Step-by-step explanation:
You want to know the cost of carpeting a 18 ft by 24 ft room with carpet that costs $52 per square yard.
AreaThe dimensions of the room in yards are (18 ft)/(3 ft/yd) = 6 yd, by (24 ft)/(3 ft/yd) = 8 yd.
In square yards, the area is ...
(6 yd)(8 yd) = 48 yd²
CostThe cost of one square yard of carpet is $52, so the cost of 48 square yards will be 48 times as much.
(48 yd²)($52/yd²) = $(48·52) = $2496
The total price to carpet the floor is $2496.
__
Additional comment
We're reluctant to call this the total price, as there are usually additional charges for tax, carpet pad, delivery, installation, removal and disposal of old flooring, and possibly additional materials such as tack strips or thresholds. Repairing mold or water damage, or leveling the floor, can also add cost.
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Kerry just bought a new Apple iPod nano for 129. On the same day she also bought several albums from iTunes for 11.99 each If she spent $224.92 total how many albums did she buy
Answer:
8 albums
Step-by-step explanation:
Show whether the earlier measure of one variable is associated with the later measure of the other variable. The two cross-lag correlations thus address the directionality problem and help establish temporal precedence.EX: aggression in third grade, is this associated with tv violence in 13th grade? And vice versa, is tv violence in 3rd grade associated with aggression in 13th grade?
To determine whether the earlier measure of one variable is associated with the later measure of the other variable, we can calculate the cross-lag correlation between these two variables. This will give us a measure of the strength and direction of the relationship between the two variables.
If the cross-lag correlation between aggression in third grade and tv violence in 13th grade is positive and statistically significant, it would suggest that there is a positive relationship between the two variables, meaning that higher levels of aggression in third grade are associated with higher levels of tv violence in 13th grade.
On the other hand, if the cross-lag correlation is negative and statistically significant, it would suggest that there is a negative relationship between the two variables, meaning that higher levels of aggression in third grade are associated with lower levels of tv violence in 13th grade.
Similarly, we can also calculate the cross-lag correlation between tv violence in third grade and aggression in 13th grade to determine whether the earlier measure of one variable (tv violence in third grade) is associated with the later measure of the other variable (aggression in 13th grade).
By calculating both cross-lag correlations, we can address the directionality problem and establish temporal precedence between the two variables. This helps us understand the nature of the relationship between aggression and tv violence over time and how it may change as individuals age.
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type the inequality from its graph
Answer:
x>_-1
Step-by-step explanation:
x is such that x is greater or equal to -1
Please see my question in the attachment, thanks
As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.
What is a vertical asymptote?In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).
By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.
In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;
As x → -1⁻, f(x) → ∞.
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Determine the value of x 4/5(x+9) - 1/5x=3/5(x+12)
Answer:
infinite number of solutions
Step-by-step explanation:
\(\frac{4}{5}\) (x + 9) - \(\frac{1}{5}\) x = \(\frac{3}{5}\) (x + 12)
multiply through by 5 to clear the fractions
4(x + 9) - x = 3(x + 12) ← distribute parenthesis on both sides
4x + 36 - x = 3x + 36
3x + 36 = 3x + 36
since both sides are the same then any value of x will make the equation true.
Thus there are an infinite number of solutions
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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What is the probability that both events B and C will occur?
The probability that both events B and C will occur is:
P(B and C) = 9/20
What is the probability that both events B and C will occur?Probability is the likelihood of an event to occur. It is expressed as a number in the range from 0 to 1.
The probability of an impossible event is 0, that of an event that is certain to occur is 1.
We have:
The probability that event B will occur, P(B) = 3/4
The probability that event C will occur, P(C) = 3/5
The probability that both events B and C will occur is:
P(B and C) = P(B) × P(C)
P(B and C) = 3/4 × 3/5
P(B and C) = 9/20
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Solve for x.
2.8 + 2x
8
=
0.6
x = [?]
Answer:
2.8 + 2x = 0.6
______
8
multiply by 8 to both sides
x8 x8
2.8 + 2x = 4.8
subtract 2.8 from both sides
-2.8 -2.8
2x = 2
divide by 2 from both sides
/2 /2
x = 1
Answer:
x = 1
Step-by-step explanation:
Step 1: Multiply both sides by 8.
\((2.8+2x)/8 * 8 = 0.6 * 8\) \(2.8 + 2x = 4.8\)Step 2: Subtract 2.8 from both sides.
\(2.8+2x-2.8=4.8-2.8\) \(2x=2\)Step 3: Divide both sides by 2.
\(2x/2 = 2/2\) \(x=1\)Therefore, x = 1.
suppose that prices of a gallon of milk at various stores in one town have a mean of $3.55 with a standard deviation of $0.14 . using chebyshev's theorem, state the range in which at least 75% of the data will reside. please do not round your answers.
At least 75% of the data might very well fall between $3.25 and $3.81. According to Chebyshev's theorem, at least 75% of the value systems in a distribution are well within 2 the mean standard deviation.
A delivery has at least 89% of its values inside of three of the mean's standard deviation.
We have the following in this problem:
Mean = $3.53
$0.14 is the standard deviation.
Using Chebyshev's Theorem, determine the range that contains least 75% of the information will live.
2 standard deviations from the mean.
So 3.53 - 2*0.14 = $3.25 becomes 3.53 + 2*0.14 = $3.81.
At least 75% of the data might very well fall between $3.25 and $3.81.
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please help
What is the distance to the earth’s horizon from point P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =
mi
The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.
How to find the distance to the earth horizon from a given point
In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:
x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]
x = 284.372 mi
The distance x is equal to 284.372 miles.
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Rewrite each equation without absolute value for the given conditions
y=|x-5|+|x+5| if x>5
y=|x-5|+|x+5| if x<-5
y=|x-5|+|x+5| if -5
Step-by-step explanation:
Condition 1x > 5, both terms are positive
y = x - 5 + x + 5 = 2xCondition 2x < - 5, both terms are negative
y = - (x - 5) - (x + 5) = - x + 5 - x - 5 = - 2xCondition 3This is not clear
If x>5
Terms are positiveHence..
y=x-5+x+5=2xIf x<-5 terms are negative
y=-x+5-x-5=-2xIf x=-5
y=|-5-5|+|-5+5|y=|-10|y=10a recipe for kool-aid calls for 4 cups of water for every 6 tablespoons of mix.how many tablespoons of mix should you use if you wanted 6 cups of water. what about 10 cups
for 6 cups of water?
\(\begin{array}{ccll} \stackrel{cups}{water}&\stackrel{tspoons}{mix}\\ \cline{1-2} 4 & 6\\ 6& x \end{array} \implies \cfrac{4}{6}~~=~~\cfrac{6}{x} \\\\\\ \cfrac{ 2 }{ 3 } ~~=~~ \cfrac{ 6 }{ x }\implies 2x=18\implies x=\cfrac{18}{2}\implies x=9\)
how about for 10?
\(\begin{array}{ccll} \stackrel{cups}{water}&\stackrel{tspoons}{mix}\\ \cline{1-2} 4 & 6\\ 10& y \end{array} \implies \cfrac{4}{10}~~=~~\cfrac{6}{y} \\\\\\ \cfrac{ 2 }{ 5 } ~~=~~ \cfrac{ 6 }{ y }\implies 2y=30\implies y=\cfrac{30}{2}\implies y=15\)
The difference between the largest and smallest number in a given set of data
A) Mean
B) Median
C) Mode
D) Range
I'll give brainliestttt
Expand and simplify x(3x + 5)-5(2x - 1)
PLEASE HELP ME AND ANSWER THIS QUESTION !! I need this for my assessment revision
The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5
How to expand and simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
x(3x + 5)-5(2x - 1)
Open the brackets
So, we have
3x² + 5x - 10x + 5
Evaluate the like terms
So, we have
3x² - 5x + 5
Hence, the simplified expression is 3x² - 5x + 5
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How does 5.24 x 10 to the 3rd power equals 5,240
How does 524,000 divided by 10 to the 2nd power equals 5,240
1. 10 to the 3rd power will look like this: 10 x 10 x 10 (multiplying 10 three times)
10 x 10 x 10 is 1000.
Then you multiply 1000 by 5.24 like a regular problem, which will equal 5,240.
There are 3 zeroes so you shift the decimal 3 times.
2. 10 to the second power is 10 x 10. 10x10 is 100.
524,000 divided by 100 is 5240. It’s similar to LOSING two zeroes because you’re DIVIDING.
In the two expressions, the powers of 10 are used to express the numbers in a more compact and manageable form.
How to solve the expressionTo convert \(5.24 * 10^3\) to standard form:
Multiply 5.24 by 1000 (since \(10^3\) = 1000).
5.24 x 1000 = 5240
Therefore, 5.24 x \(10^3\) = 5240
524,000 divided by\(10^2\) is also using the concept of powers of 10.
To convert 524,000 divided by \(10^2\) to standard form:\(10^2\)
Divide 524,000 by 100 (since = 100).
524,000 ÷ 100 = 5,240
Therefore, 524,000 divided by\(10^2\) equals 5,240.
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replacing only the minimum value in a data set with a smaller number will also change the median
Hence , on replacing only the minimum value in a data set with a smaller number will always change the median which is option (A)
In arithmetic, the median is outlined because the middle price of a sorted list of numbers. the center variety is found by ordering the numbers. The numbers are ordered in ascending order. Once the numbers are ordered, the center variety is named the median of the given information set.As we all know the median is calculated by arrangement the given numbers in ascending/descending order. The we elect the center one as a median if total variety of numbers are odd. however if total numbers of numbers are even then we tend to take the typical of the center 2 which average is that the median.
So if we tend to you're going add variety within the given set of numbers then sure as shooting the median goes to alter, no matter the value of the quantity.
Hence the given statement is False.
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The complete question is given below :
Replacing only the minimum value in a data to a smaller number will also change the mean
A.always
B. Sometimes
C.never true
List the factors of 16
The common factors are 1, 2, 4, 8, and 16
Answer:
factors of 16 are 1, 2, 4, 8, and 16. 1 is a universal factor. The two numbers that are multiplied to get a product are factors of the product.
PLEASE HELP asappp! tons of points rewarded!
The equation to show the relationship between the number of days x and the amount of hay a cow eat is y = 25x.
How to represent equation of a linear function?The table represent a linear function. The equation to show the relationship between the number of days, x and the amount of hay a cow eat is as follows:
using slope intercept form,
y = mx + b
where
m = slopeb = y-interceptTherefore, let's find the slope using (10, 250) and (20, 500).
m = 500 - 250 / 20 - 10
m = 250 / 10
m = 25
The y-intercept of the equation can be found as follows:
using (10, 250)
y = 25x + b
250 = 25(10) + b
b = 250 - 250
b = 0
Therefore, the equation is y = 25x
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graph y + 2 = -3/4 (x+4)
Answer:
Use a website called desmos and type in y=-3/4(x+4)-2
Step-by-step explanation:
1) isolate y by subtracting 2 on both sides
y=-3/4(x+4)-2
Answer:
Clue: two points : (0,-5) ( 4 , -8)
Step-by-step explanation:
Look at the graph.
Sam is collecting money for an animal shelter. He collects $150.00 each day for 6 days. The shelter will use 35% of the money he collects to buy pet food. The rest of the money will be used to buy cleaning supplies.
How much of the money that Sam collects will be used to buy cleaning supplies?
According to the solving Sam will spend $585.00 of the money he collects on cleaning materials.
What do the percentages mean?%, a relative figure signifying hundredths of any amount. Since one percent (symbolised as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. percentage. Mathematical percentile is a related topic.
According to the given information:Sam collects $150.00 each day for 6 days, so the total amount he collects is:
$150.00/day x 6 days = $900.00
The shelter will use 35% of the money he collects to buy pet food. To find out how much money will be used to buy pet food, we can multiply the total amount Sam collects by 35% (or 0.35):
$900.00 x 0.35 = $315.00
So, $315.00 of the money that Sam collects will be used to buy pet food. To find out how much money will be used to buy cleaning supplies, we can subtract the amount used to buy pet food from the total amount collected:
$900.00 - $315.00 = $585.00
$585.00 of the money that Sam collects will be used to buy cleaning supplies.
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Ms. Pesko pulled 5 candy bars out of a bag. She pulled the following candies: Twix, Kit-Kat, Milky Way, Twix, Twix. What is the experimental probablity of getting a Twix?
Answer:
Step-by-step explanation:
The experimental probability of getting a Twix is 3/5 or 60%.
suppose that $36,000 is deposited in an account and the balance increases to $39,786.15 after 2.5 years. how long will it take for the account to grow to $51,806.67? Assume continous compounding
It will take about _ years for $36,000 to grow to $51,806.67
Answer:
About 9 years===================================
Continuous compounding equation:
\(P(t) = P_0e^{rt}\)Given\(P_0=36000\)\(P(t)=39.876.15\)\(t=2.5\)Find the value of r\(39786.15= 36000*e^{r*2.5}\)\(e^{2.5r}=39786.15/36000\)\(ln \ e^{2.5r}= ln \ 1.10517\)\(2.5r=0.099\)\(r=0.099/2.5\)\(r=0.04\)Now find the time t for the balance to grow to $51806.67:
\(51806.67= 36000*e^{0.04t}\)\(51806.67/36000=e^{0.04t}\)\(e^{0.04t}= 1.439\)\(ln \ e^{0.04t}= ln \ 1.439\)\(0.04t=0.3639\)\(t=0.3639/0.04\)\(t=9.0975\)The time required is about 9 years.
Answer:
9 years
Step-by-step explanation:
Continuous Compounding Formula
\(\large \text{$ \sf A=Pe^{rt} $}\)
where:
A = Final amount.P = Principal amount.e = Euler's number (constant).r = Annual interest rate (in decimal form).t = Time (in years).Given values:
P = $36,000A = $39,786.15t = 2.5 yearsSubstitute the given values into the formula and solve for r to find the annual interest rate:
\(\implies \sf 39786.15=36000 \cdot e^{2.5r}\)
\(\implies \sf \dfrac{39786.15}{36000}= e^{2.5r}\)
\(\implies \sf \ln \left(\dfrac{39786.15}{36000}\right)=\ln e^{2.5r}\)
\(\implies \sf \ln \left(\dfrac{39786.15}{36000}\right)=2.5r\)
\(\implies \sf \dfrac{1}{2.5}\ln \left(\dfrac{39786.15}{36000}\right)=r\)
\(\implies \sf r=\dfrac{2}{5}\ln \left(\dfrac{39786.15}{36000}\right)\)
\(\implies \sf r=0.03999996933...\)
\(\implies \sf r=0.04\;(2\;d.p.)\)
Therefore, the annual interest rate is 0.04 = 4%.
To calculate how many years it will take for $36,000 to grow to $51,806.67, substitute the values into the formula and solve for t:
\(\implies \sf 51806.67=36000 \cdot e^{0.04t}\)
\(\implies \sf \dfrac{51806.67}{36000}= e^{0.04t}\)
\(\implies \sf \ln\left(\dfrac{51806.67}{36000}\right)= \ln e^{0.04t}\)
\(\implies \sf \ln\left(\dfrac{51806.67}{36000}\right)= 0.04t\)
\(\implies \sf \dfrac{\ln\left(\dfrac{51806.67}{36000}\right)}{0.04}=t\)
\(\implies \sf t=9.10 \; (2\;d.p.)\)
Therefore, it will take about 9 years for $36,000 to grow to $51,806,67.
What is the sum of the polynomials?
Answer:
4m-24n+3
Hope this helped you!
Answer: 4m+3
Step-by-step explanation:
You must add each term together. If you add each variable and term, you would get 4m+3.
What is 3/7 - 1/4? .....
Answer:
Exact Form: 5/28
Decimal Form: 0.17857
Bahir is h cm tall. Sienna is 4 cm taller than Bahir.
Write down an expression, in terms of h, for Sienna’s height.
Answer:
.
Step-by-step explanation: