Math in many areas is used to create models, mathematical systems the describe real-world situations.
During the pandemic, a model called exponential model was used to predict the how many people will get infected given certain parameters, such as infection rate, average age of population, ...
We picked this particular model because viruses spread at an exponential rate, just like for example bacteria division would be modeled with something like [tex]2^t[/tex] where t is day number. After 1 day there are 2, after 2 days there are [tex]4, 8, 16, 32, \dots[/tex] which is known as exponential behaviour -- viruses spread that way, first person gets infected, aka patient 0, then that person likely infects others and others likely infect more people.
In particularly [tex]R_0[/tex] also known as basic reproduction number was used as a base, that is, [tex]R_0^t[/tex].
You can see if, [tex]R_0\lt 1[/tex] then we have a reciprocating behaviour, less and less infected with time passing, this is ideal and it means the pandemic is waning.
However if, like in case with current pandemic, [tex]R_0\gt 1[/tex] then the behaviour is exactly the opposite, more and more get infected with time. The current pandemic had a highest [tex]R_0[/tex] of 6.49 with a mean of 3.28 and a median of 2.76.
That means at its heighest, 1 new infected person meant potentially 6 new infected people which meant 36 because each of them would probably infect which means [tex]216,1296,7776,46656,\dots[/tex].
So the main goal is to prevent [tex]R_0[/tex] from getting larger ie. minimization, that is why vaccination, masks, good hygiene.
Of course the model is much much more complex and parameterized.
The exponential model took a lot into account and came up with various prediction graphs of for example the next week.
The graphs served to the states to decide what to do next.
So in all, everything that you are witnessing was at some point just, math.
Hope this helps :)
Answer:
it was online math cause of the pandemic
Step-by-step explanation:
can anyone plz with steps (not for useless man )
[tex]\boxed{\sf \displaystyle{\lim_{x\to a}}(x^n)=a^n}[/tex]
[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}(\sqrt{3x}-\sqrt{x-5})[/tex]
[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}\sqrt{3x}-\displaystyle{\lim_{x\to \infty}}\sqrt{x-5}[/tex]
[tex]\\ \sf\longmapsto \infty^{\dfrac{1}{2}}-\sqrt{\infty-5}[/tex]
[tex]\\ \sf\longmapsto \infty-\sqrt{\infty}[/tex]
[tex]\\ \sf\longmapsto\infty-\infty[/tex]
[tex]\\ \sf\longmapsto\infty[/tex]
can you help me in all these questions
help plsss . 10 points !
Answer:
B
Step-by-step explanation:
(7×2)⁶
when we put a number to the power of something, we need to include the whole number. bit just a part of it.
so, it must be 7⁶×2⁶
just think about the simple example 6², which we could write as (2×3)².
would it be sufficient to e.g. square only one of the factors ?
6² = 36
but e.g. 2×3² = 18. so, that's really not it.
or add the two factors and then square them ?
2+3 = 5. 5² = 25. so, that's not it either.
or multiply the exponent in ?
2×3×2 = 12. so that's not it either.
no, it truly is you need to do the operation to all parts.
2²×3² = 4×9 = 36. yes, that fits.
therefore, B is the right answer.
find the value of x.
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
The parallel lines cut the transversals proportionally, so we have ...
(10 -x)/x = 3/2
2(10 -x) = 3x . . . . . . . multiply by 2x
20 -2x = 3x . . . . . . . eliminate parentheses
20 = 5x . . . . . . . . . . add 2x
4 = x . . . . . . . . . . . . divide by 5
What is a rational number between 1/3 and 1/9?
Answer:
1/4
Step-by-step explanation:
its 0.25 which is rational. and its between the two.
Find the measurement of angle ABC
brainliest to correct answer, please hurry
Start at 3, subtract 5 and you get -2
Imagine that you must cross the hallway staying an equal distance from each laser. Il you get closer to one laser than the other, it will blast you. Use a compass and straightedge to draw a safe path through the hallway.
Answer:
can you answer this first
The discussion is shown below:
what is data?In computing, data is information that has been translated into a form that is efficient for movement or processing.
A hall way with laser imagine that you must cross the hall way while staying at equal distance from each laser.
So, from the question we can consider the a point o which is in between laser 1 and laser 2.
Learn more about data here:
https://brainly.com/question/10980404
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3)There are 9 colorful socks in a drawer: 3 green, 2
purple,
2 Navy, 1 yellow, and 1 pink. What's the
probability of picking a green putting it on and
then choosing a purple?
Answer:
1/24 chance
Step-by-step explanation:
To begin you would need to find the probability of picking a green sock which would be 3/9; and you could simplify this to 1/3.
After that you need to find the probability of picking a purple sock out of the 8 left, which would provide you with 1/8. To find the probability of both you would multiply 1/8 by 1/3 to find the combined probability which would leave you with 1/24.
prove that the following arguments are valid by using formal proof. 1, if studies medicine be will get a good job,if they gets a good job,he will get a good wage,he did not get good wage therefore,he did not study medicine.
The argument; if he did not get a good wage, then he must not have studied medicine is valid.
What is valid proof?Let P represent "He studies medicine"
Let Q represent "He gets a good job"
Let R represent "He gets a good wage"
The argument can be written as:
P → Q
Q → R
¬R
∴ ¬P (conclusion: he did not study medicine)
Assume for contradiction that the argument is invalid:
P → Q
Q → R
¬R
P (assumption for contradiction: he studied medicine)
Use modus ponens to derive Q from (5) and (1):
Q (from 1 and 5 using MP)
Use modus ponens again to derive R from (6) and (2):
R (from 2 and 6 using MP)
This contradicts ¬R in (3), so our assumption in (5) must be false. Therefore, we can conclude that the argument is valid:
¬P (from contradiction of assumption in (5))
Learn more about valid proof:https://brainly.com/question/30458110
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i need the answers for all three of those
Answer:
1) = -10
3) = 4
Step-by-step explanation:
Chow,...!
I need to find all real values of x from this inequality x^2>2x-2 and also this question x^2>2x+2. I need the answer fast with working out pls
[tex]x^2\gt2x-2[/tex]
[tex]x^2-2x+2\gt0[/tex]
You are essentially asking at this point where is the quadratic function greater than 0. To get the interval find the roots. Between the roots the function is guaranteed to be LESS THAN zero. Everywhere else the function is greater than 0.
[tex]x^2-2x+2=0[/tex]
Use Vieta's rule to get the roots,
[tex](x-1)(x-1)=0[/tex]
Both roots are the same so no value is less than 0 which means all values except at the point of root are strictly greater, the point of root is at [tex]x_{1,2}=1[/tex] which means the set for which the quadratic function is greater than 0 is [tex]\mathbb{R}-\{1\}[/tex] "all real numbers except 1".
To convert this into interval notation use all numbers up to 1 but not including and all numbers after 1 but not including,
[tex](-\infty,1)\cup(1,\infty)[/tex]
Hope this helps :)
2. If 3x - y = 4, what is the value of 27^x/3^y
9514 1404 393
Answer:
81
Step-by-step explanation:
Rewriting the expression as powers of 3, we get ...
[tex]\dfrac{27^x}{3^y}=\dfrac{(3^3)^x}{3^y}=3^{3x-y}=3^4=\boxed{81}[/tex]
There are five boys to every three girls in an introductory chinese course. If there are 384 students enrolled in the course. how many are boys?
The bases of a prism are always
A. perpendicular
B. parallel
C. intersecting
D. rectangles
Answer:
D. rectangles
Step-by-step explanation:
Perpendicular is when they cross but the base isn't perpendicular
Parallel is when two lines never touch, but in the base of a prism there are lines that touch
Intersecting is when two or more lines meet and cross over each other
5x²+4x+3=0 solve for x
Answer:
[tex]{ \underline{ \sf{x \: is \: \: \{ \frac{ - 5 + i \sqrt{35} }{10} \} } \: \: and \: \: \{ \frac{ - 5 - i \sqrt{35} }{10} \}} }[/tex]
Step-by-step explanation:
[tex]5 {x}^{2} + 4x + 3 = 0 [/tex]
from quadratic formular:
[tex]{ \sf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }} [/tex]
general equation:
[tex] {ax}^{2} + bx + c = 0[/tex]
a is 5, b is 4 and c is 3:
substitute in formular:
[tex]{ \sf{x = \frac{ - 5± \sqrt{ {5}^{2} - (4 \times 5 \times 3) } }{(2 \times 5)} }} \\ \\ { \sf{x = \frac{ - 5± \sqrt{ - 35} }{10} }}[/tex]
but from complexes, i² = -1
[tex]{ \sf{x = \frac{ - 5± \sqrt{35 {i}^{2} } }{10} }} \\ \\ = { \sf{x = \frac{ - 5±i \sqrt{35} }{10} }}[/tex]
Here are two triangles identical in size.10 cm.The two triangles are overlapped 3 cm 6 cm.What is the area of the blue triangle showing?
Pls I will give Brainliest
Sorry if the picture is too dark :(
Answer:
51 cm²
Step-by-step explanation:
Let's ASSUME that the vertical measurements are taken perpendicular to the roughly horizontal baselines.
The three yellow triangles are all similar
the upper small triangle has height 3 and base 6 cm. The ratio of the lengths is 6/3 = 2
This means the medium (overlapping) triangle has lengths 10 - 3 = 7 and 7(2) = 14 cm
Area of the large triangle is ½(14 + 6)(10) = 100 cm²
Area of the overlapping yellow triangle is ½(7)(14) = 49 cm²
Exposed area of the blue triangle is 100 - 49 = 51 cm²
Both triangles have an area of 100 square centimeters and the area of the blue triangle showing is 51 square centimeters.
Based on the information given from statement, we can determine the missing length of the yellow triangle by means of simmilarity ratios, that is:
[tex]\frac{3\,cm}{6\,cm} = \frac{10\,cm}{x}[/tex] (1)
Where [tex]x[/tex] is the base of the yellow triangle, in centimeters.
Now we proceed to find the length base:
[tex]x = \frac{6\,cm}{3\,cm}\times 10\,cm[/tex]
[tex]x = 20\,cm[/tex]
The area of the triangle can be found by means of the following expression:
[tex]A = \frac{1}{2}\cdot b\cdot h[/tex] (2)
Where:
[tex]A[/tex] - Area of the yellow triangle, in square centimeters.[tex]b[/tex] - Base, in centimeters.[tex]h[/tex] - Height, in centimeters.If we know that [tex]b = 20\,cm[/tex] and [tex]h = 10\,cm[/tex], then the area of the triangle is:
[tex]A = \frac{1}{2}\cdot (20\,cm)\cdot (10\,cm)[/tex]
[tex]A = 100\,cm^{2}[/tex]
The area of the yellow triangle is 100 square centimeters and the area of the blue triangle is also 100 square centimeters due to congruency. The dimensions of the section of the yellow triangle overlapping the blue triangle are [tex]b = 14\,cm[/tex] and [tex]h = 7\,cm[/tex]. The area of this section is:
[tex]A' = \frac{1}{2}\cdot (14\,cm)\cdot (7\,cm)[/tex]
[tex]A' = 49\,cm^{2}[/tex]
And the area of the rest of the blue triangle is:
[tex]A'' = A - A'[/tex] (2)
[tex]A'' = 100\,cm^{2}-49\,cm^{2}[/tex]
[tex]A'' = 51\,cm^{2}[/tex]
In a nutshell, both triangles have an area of 100 square centimeters and the area of the blue triangle showing is 51 square centimeters.
We kindly invite to check this question on triangles: https://brainly.com/question/23103213
There are five boys to every three girls in an introductory chinese course. if there are 384 students enrolled in the course, how many are boys?
Answer:
There are 240 boys.
Step-by-step explanation:
There are five boys to every three girls in an introductory Chinese course. Given that there are 384 students enrolled in total, we want to determine the amount of students which are boys.
Let b represent the number of boys and g girls.
Since the ratio is 5:3, we can write that:
[tex]\displaystyle \frac{5}{3} = \frac{b}{g}[/tex]
And since the total number of students is 384:
[tex]b + g = 384[/tex]
From the first equation, cross-multiply:
[tex]5g = 3b[/tex]
Solve for g:
[tex]\displaystyle g = \frac{3}{5} b[/tex]
Substitute:
[tex]\displaystyle b + \left (\frac{3}{5} b\right) = 384[/tex]
Simplify:
[tex]\displaystyle \frac{8}{5} b = 384[/tex]
Solve for b:
[tex]\displaystyle b = \frac{5}{8}\left(384\right) = 240[/tex]
In conclusion, 240 of the total students are boys.
please help , ill give brainliest
Combine Like Terms
6. Which expression is equivalent to -2-(-15d)+(-11d)+2-6 ?
-4d+6
4d-6
4d+6
-26d-10
Answer:
4d - 6
Step-by-step explanation:
-2-(-15d)+(-11d)+2-6
-2 + 15d - 11d + 2 - 6
15d - 11d - 2 + 2 - 6
4d - 6
A researcher observed elementary school children in a rural setting vs. an urban setting. She believes the proportion of students who get the recommended amount of daily exercise may be different for students in the urban vs. rural setting.
Requied:
What would be the most appropriate test to test the researcher's claim?
Answer:
Go to multiple schools in urban and rural areas and find out how much exercise they get. Compare the data/research to find out if one gets more than the other, less, or equally the same amount of exericise.
The area of a children square playground is 50m squared.
a. what is the exact length of the playground
2. pine logs 3m long are to be laid around the playground. How many logs will need to be bought?
Answer:
a. solution
Area = 50 m^2
Area of square = l^2
or, 50 m^2 = l^2
or, √50m^2 = l
or, 5√2 m= l
Hence, The exact length of the playground is 5√2 m.
Find the sum
No links
⇛ -12 + 8
⇛ -4
[tex] \: [/tex]
Hey there!
The word “sum” simply means “to add” or “addition” in mathematical terms
So, we have to ADD -12 from 8 from each other.
Positives are on the RIGHT side of the number line whereas negatives are on the LEFT side of the number line
Start at -12 and go UP 8 spaces to the right.
-12 + 8
= -4
Answer: -4
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
[tex]\sqrt{x} -36 = 0[/tex] X=?
Hey there!
I believe x might be 1296.
Look at the question closely, the square root of a number minus thirty-six equals zero.
The square root of 1296 would equal 36, so, 36 - 36 = 0.
Hope this helps!
Have a wonderful day!
Which number should replace Z?
A 7
B 6
C 5
D 4
Answer:
2 sorry i don't know that's what answer i got
3. A clock is constructed using a regular polygon with 60 sides. The
polygon rotates every minute. How much has the polygon rotated
after 12 minutes? Explain your answer with words, a drawing or both-
We are required to find how much the polygon has rotated after 12 minutes
The number of times the polygon has rotated after 12 minutes is 72°
Number of sides of the polygon = 60
The polygon rotates every minute, that is
1 rotation = 1 minutes
12 rotation = 12 minutes
one rotation of the clock is 360°
Number of times the polygon has rotated after 12 minutes = one rotation of the clock / Number of sides of the polygon × number of minutes
= 360°/60 × 12
= 6 × 12
= 72°
Learn more about polygons and clock:
https://brainly.in/question/5841490
What would be the slope for a line passing through the two points below?
Point 1: (1, 0.1) Point 2: (7, 26.8)
Answer:
slope is 28.7/6
Step-by-step explanation:
m= y2-y1/x2-x1
subtitute value in formula:
m=28.8-0.1/7-1
m=28.7/6
3 laps 50 seconds 20% longer each lap
For the second week of November, Eric White worked $41.75 hours. Eric earns $19 an hour. His employer pays overtime for all hours worked in excess of 40 hours per week and pays 1.5 times the hourly rate for overtime hours.
Calculate the following for the second week November (round your responses to the nearest cent if necessary):
please answer these
I need it rn
it's due to tommorow
2 3/4m for textbooks + 1 1/2m for Notebooks
2 3/4 + 11/2
11/4 + 3/2
11/4 + 6/4
17/4
4 1/4
Subtract5 1/2 - 4 1/4
11/2 - 17/4
22/4 - 17/4
5/4
1 1/4
Complete answer1 1/4 meters of plastic cover will be left
HOPE THIS HELPS. GOODLUCK:)