Step-by-step explanation:
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I need some help plz!!!
Suppose a student carryinga virus returns toan isolated college campus o 1000 students. Determine a differential equation for the number x(t) who have contracted the fluif the rate at which the disease spreads is proportional to the number of interactions between the number of students who have the fluand the number of students show have not been exposed to it.
Answer:
[tex]\frac{dx}{dt}[/tex] = k.x.[1000 - x] ;
where k is the proportionality constant
Step-by-step explanation:
Let
The number of people who are infected with the flu = x(t)
Total number of students = 1000
So,
Total number of student who do not expose with the flue = 1000 - x(t)
As given,
We have to find the differential equation such that
The rate at which the disease spreads is proportional to the number of interactions between the number of students who have the flu and the number of students show have not been exposed to it.
⇒[tex]\frac{dx}{dt}[/tex] ∝ x(t) . [ 1000 - x(t) ]
⇒[tex]\frac{dx}{dt}[/tex] = k.x.[1000 - x] ; where k is the proportionality constant
Find the missing length in the right triangle.
Answer:
10 ft
Step-by-step explanation:
By using the pythagorean theorem, we know that leg1 squared plus leg2 squared is equal to hypotenuse squared.
[tex]6^2+8^2=?^2\\36+64=?^2\\100=?^2\\10=?[/tex]
Answer: 10ft
Step-by-step explanation:
Pythagorean Theorem- In a right triangle, a²+b²=c² where: (image attached)
a=6ft ; b=8ft
6ft²= 36ft ; 8ft²= 64ft
36+64=100ft
√100= 10ft
3x+2=14 what number makes the equation true?
Answer:
Step-by-step explanation:
3x+2=14 subtract 2 from both sides
3x=12 divide both sides by 3
x=4
Solve these with work shown please.
Step-by-step explanation:
substitute the value in the value of x and u will get the result.
x^2 and -x^2 for x =-3
Answer:
9 and -9
Step-by-step explanation:
x^2:
all you have to do is (-3)^2 = -3 * -3 = 9
-x^2:
this would be -(-3)^2
the order of operations says to do exponents first, so you would have:
-(9) or -9
15 PTS !!
NEED ASAP HELP !!
Answer:
314.16 m^2
Step-by-step explanation:
PLEASE ANSWER THIS QUESTION!!!!!!!!!!!!!
uhhh... my math grade is a D and i dont have my phone and i want it back so please just help me, this will get my grade up to a C or a B at least so help
Answer:
function one
Step-by-step explanation:
the x intercept in function one is a negative number
Answer: function one
Step-by-step explanation:
Julissa earns $13 per hour. If her regular hours are 40 hours per week, and she receives double time overtime,
find her total pay for a week in which she works 45 hours.
Answer:
1,040 dollars
Step-by-step explanation:
Alex has 100. He spends 3/10of it on candies. He spends one-seventh of what's left on colour pencils. How
much money is Alex left with?
Answer:
$60
Step-by-step explanation:
3 tenths of 100 is 30
1 * 10 is 10
100 - 30 + 10
= 100 - 40
= $60
What is the probability that the red die shows a six or the green die shows a six?
Answer:
[tex]\frac{11}{36}[/tex]
Step-by-step explanation:
= 1/6 + 1/6 - 1/6^2
Calculate the distance between the points A=(-5, 6) and J = (1, -1) in the coordinate plane.
Answer:
7 cubic meters away
Step-by-step explanation:
Howwwwww do I solve this plssssss
Answer:
Step-by-step explanation:
A line passes through the points (-5, 2) and (10,-1). Which is the equation of the line?
o y--3x+1
oys
O y=-5x - 23
O y = 5x + 27
Answer:
0
Step-by-step explanation:
what happened that 0 ok live bistro 2.52 and 10 1 which is the quality of the line or 3 x + 100 s y if x = 25
what was the main difference between the French and British armies in the French and Indian War
If f(x) = (3+x)/ (x-3),what is f(a+ 2)?
Help plzzzz helppp heppppdidjjdhjrbrbfnd meeee
Answer:
The large one
Step-by-step explanation:
If she used the WHOLE thing in the large one and HALF in the smaller one then that means there is more in the large one and that it is more choclete.
Answer:
The larger one!
Step-by-step explanation:
Cruz is the editor of a magazine.
The magazine has 40 pages.
The magazine must have:
20% of the pages for adverts
1/4 of the pages for photos
the remaining pages for articles.
Work out the number of pages for articles in the magazine.
Show your working out.
Answer:
22
Step-by-step explanation:
20% * 40 = 20 / 100 * 40 = 800 / 100 = 8
1/4 * 40 = 40 / 4 = 10
So far we have use 8 + 10 = 18
There are 40 - 18 pages left
articles = 22
A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. where traffic flow in vehicles per hour vehicle speed in miles per hour The following data were collected during rush hour for six highways leading out of the city. Traffic Flow () Vehicle Speed () 1257 36 1329 45 1227 30 1336 50 1349 55 1124 25 a. Use the data to compute the coefficients of this estimated regression equation (to decimals). Enter negative value as negative number. (Create the variable first using Data/Transform
Answer:
ŷ = 0.1286X - 123.2175 ;
R = 0.9465
R² = 0.8958
Step-by-step explanation:
Given the data:
Traffic Flow, X : ()
1257
1329
1227
1336
1349
1124
Vehicle speed, Y () :
36
45
30
50
55
25
The estimated regression equation using a linear regression calculator is given thus:
ŷ = 0.1286X - 123.2175
According to the general linear regression formula :
y = mx + c
Where ; y = predicted variable (vehicle speed)
x = predictor variable (traffic flow)
Slope, m = 0.1286
Intercept, c = 123.2175
The correlation Coefficient, R = 0.9465, This depicts a strong positive relationship between traffic flow and vehicle speed.
The Coefficient of determination, R² = 0.9465² = 0.8958 ; This means about 89.5% of variation in Vehicle speed can be explained by the regression line.
What types of numbers are Irrational numbers? A)Whole Numbers (positive and negative) B)Repeating Decimals C)Decimals that Terminate D)Decimals that never end
Answer:
Whole numbers, repeating decimals, and decimals that never end
Step-by-step explanation:
Fill in the blank to make the two fractions equivalent.
4/7 = ?/28
Answer:
16
Step-by-step explanation:
28/7 = 4
4 x 4 = 16
16/28 = 4/7
cuál es el número entero de 2° bajo Cero
Answer:
-2 °C.
Step-by-step explanation:
Usa el signo + para representar temperaturas arriba de cero y el signo – para representar temperaturas bajo cero.
What Reasoning could you use to prove the two triangles shown below are congruent?
AAS
SAS
ASA
SSS
I KNOW ITS SAS....................
you need to use SAS
Step-by-step explanation:
so first you write PQ=QR
PQS=SQR
PS=SR
A 31-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 33 m. Find the length of the shadow. If necessary,
round your answer to the nearest tenth.
B
5
?
Answer:
Step-by-step explanation:
[tex]\text{By the Pythagorean Theorem the hypotenuse of a right triangle squared is equal to the sum of the squared sides.}\\ \\ h^2=x^2+y^2\\ \\ 33^2=31^2+x^2\\ \\ x^2=33^2-31^2\\ \\ x^2=128\\ \\ x=\sqrt{128}\\ \\ x\approx 11.3m[/tex]
Find the equation of this line
Answer: y=1x+1
Step-by-step explanation:
Rise/Run = 1/1 = 1 = slope
y-intercept : 1
Answer:
y=-2x+1 is the answer
Step-by-step explanation:
(2x+y=-2
5x + 3y = -8
Solve by elimination
Answer:
y = -6, x =2
Step-by-step explanation:
To solve by elimination, you have to line both equations up together. Then, you multiply both equations until one variable is removed.
2x+y = -2
5x + 3y = - 8
There are many different ways to solve an elimination problem, but generally you should look for the simplest route. Here, I would multiply the top equation by -3.
-6x -3y = 6
5x +3y = -8
Imagine you are adding the two equations together. You end up with
-x = -2
Then solve for x. In this situation, it is fairly simple. Take out a factor of -1.
x = 2
Finally, choose one of your beginning equations and plug your new-found x value back into the equation.
2(2) +y = -2
4 + y = -2
y = -6
6 grade math pls help and do step by step
Can someone please help me understand this and the answer
Answer:
x ≤ 2
Step-by-step explanation:
Which of the following is the correct factorization of -y²+y+6?
Answer:
(−y−2)(y−3)Step-by-step explanation:
I'm just going to factor it for you.
Factor −y^2+y+6
−y^2+y+6
=(−y−2)(y−3)
Answer:
(−y−2)(y−3)
which orded pair is a solution of the equation 2x+4y=6x-y
