Using the logistic equation, it is found that:
The model is:[tex]P(t) = \frac{500000}{1 + 624e^{-0.4t}}[/tex]
It will take 10 days before 100,000 people are infected.The logistic equation for a population is given by:
[tex]P(t) = \frac{K}{1 + Ae^{-kt}}[/tex]
[tex]A = \frac{K - P(0)}{P(0)}[/tex]
In which:
K is the carrying capacity. P(0) is the initial value. k is the growth rate, as a decimal.In this problem:
Population of half a million, which is the carrying capacity, hence [tex]K = 50000[/tex].The strain increases by 40% per week, hence [tex]k = 0.4[/tex].Initially, there were 800 cases, hence [tex]P(0) = 800[/tex].Then:
[tex]A = \frac{500000 - 800}{800} = 624[/tex]
[tex]P(t) = \frac{500000}{1 + 624e^{-0.4t}}[/tex]
The time until 100,000 people are infected is t for which P(t) = 100000, hence:
[tex]P(t) = \frac{500000}{1 + 624e^{-0.4t}}[/tex]
[tex]100000 = \frac{500000}{1 + 624e^{-0.4t}}[/tex]
[tex]0.1 = \frac{1}{1 + 624e^{-0.4t}}[/tex]
[tex]0.1 + 62.4e^{-0.4t} = 1[/tex]
[tex]62.4e^{-0.4t} = 0.9[/tex]
[tex]e^{-0.4t} = \frac{0.9}{62.4}[/tex]
[tex]\ln{e^{-0.4t}} = \ln{\frac{0.9}{62.4}}[/tex]
[tex]-0.4t = \ln{\frac{0.9}{62.4}}[/tex]
[tex]t = -\frac{\ln{\frac{0.9}{62.4}}}{0.4}[/tex]
[tex]t = 10.6[/tex]
It will take 10 days before 100,000 people are infected.
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I need help with my algebra.
Answer:
f(-2) =-2
Step-by-step explanation:
f(-2) means what is the output of the function when the input of the function is -2
When x =-2, y =-2
f(-2) =-2
Customers at a gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the scenario.
What is the slope of the line?
Supplies for last year cost $1,477, which was $177 over budget. Rounded to the nearest 1%, by what percent did the cost exceed the budgeted cost?
8%
11%
12%
13%
14%
Answer:
12% is the correct answer.
Find the volume of the following prism.
Answer:
[tex]4860[/tex] cubic units
Step-by-step explanation:
First, we use the formula of the triangle prism to solve the question
[tex]v=\frac{1}{2}b*h*l[/tex]
[tex]v=\frac{1}{2} 18*12*45[/tex]
[tex]v=4860 cm^{3}[/tex]
WILL GIVE BRAINLIEST
These two triangles are congruent by ....
O SSS
O SAS
O HL
O ASA
O AAS
O the triangles are NOT congruent
SAS postulate states that if two sides and one angle of the two triangles are congruent then the corresponding triangles are congruent.
These two triangles are congruent by SAS postulate
Proof
Statements Reasons
In ΔNHJ ↔ ΔKHJ
mHJ≅mHJ common to both Δs∠N≅∠K right anglesmHN≅mHK givenFrom 1,2, and 3 ΔNHJ ≅ ΔKHJ SAS≅SAS
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2y⁴×5y³
Send a message
Answer:
10y^7
Step-by-step explanation:
Answer:4+3=7
5×2=10
Step-by-step explanation:
The average length of a baby at birth is 19 inches long. There are 2.54 centimeters in 1 inch. What is the average length of a baby at birth in centimeters.
Answer:
16.46 I don't know
Step-by-step explanation:
Which graph best represents y = −x2 + 6x − 1?
Answer:
which graph best represents y = -x2 + 6x - 1?
Step-by-step explanation:
hich is the graph of the linear function that is represented by the equation y= 1/2x-2 ?
Answer:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex: ( 3 , 8 )
Focus: ( 3 , 31 /4 )
Axis of Symmetry: x = 3
Directrix: y = 33/4
x y
1 4
2 7
3 8
4 7
5 4
Step-by-step explanation:
Below is a picture of the graph
PLZZZ HELP MEEEeeeeeeeeeeeeeeeeeee
Answer:
I am a professional, worry not
-1.6 < -1.55 < -0.4 < 1.35 < 1.7
Subtract (7u2+10u+6) from (3u2−5u+4).
The solution to simplifying the algebraic expression is: -4u² - 15u - 2
How to solve Algebraic Expressions?Algebraic expressions are defined as the idea of expressing numbers using letters or alphabets without specifying their actual values
The algebraic expression we want to simplify is:
3u² - 5u + 4 - (7u² + 10u + 6 )
Simplifying the bracket gives us:
3u² - 5u + 4 - 7u² - 10u - 6
Arranging like terms gives us:
3u² - 7u² - 5u - 10u + 4 - 6
= -4u² - 15u - 2
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Jerome makes and sells his own energy drinks. He mixes a liquid drink mix with water to create his own special blend. Jerome usually uses 8 cups of water and 3 cups of drink mix. Tomorrow, there is a road race in town, however, and Jerome thinks he’ll be able to sell a lot more of his energy drinks than usual. Jerome’s brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink. Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio the same and still increase the total amount of energy drink. Who is correct: Jerome’s brother or Jerome’s sister? As you complete the task, keep this question in mind: Based on what you know about ratios, what do you think the answer will be? Directions: Complete each task, reading the directions carefully as you do. You will be graded on the work you show, or your solution process, in addition to your answers. Make sure to show all your work and to answer each question as you complete the task. Type all of your work into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the work you show and on the completeness and accuracy of your explanations. Your teacher will give you further directions on submitting your work. You may be asked to upload the document, e-mail it to your teacher, or hand in a hard copy. Now let’s get started! Step 1: Finding the part-to-part and part-to-whole ratios To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix. What is the ratio of water to drink mix? (2 points) What is the ratio of drink mix to water? (2 points) What is the ratio of drink mix to mixed energy drink? (2 points) What is the ratio of water to mixed energy drink? (2 points) Step 2: Testing Jerome’s brother’s approach Jerome’s brother told him to add one cup of water for every one cup of drink mix he add
Answer:
not well explained??
Step-by-step explanation:
?? explain it better bro.
Plz help I need help
Answer:
4d+12=4(d+3) is the answer
Answer:
4(d+3)
Step-by-step explanation:
You use the distribution property since 4 is a common multiple of both.
Can someone help me? I still don't understand this question.
[tex]f(x) = -6x^2 + 7x + 4[/tex]
Step-by-step explanation:
For x = 1
[tex]a(1)^2 + b(1) + c = 5 \Rightarrow a + b + c = 5[/tex] (1)
For x = -3,
[tex]a(-3)^2 + b(-3) + c = -71[/tex]
[tex]\Rightarrow 9a - 3b + c = -71[/tex] (2)
For x = 3,
[tex]a(3)^2 + b(3) + c = -29[/tex]
[tex]\Rightarrow 9a + 3b + c = -29[/tex] (3)
Let's add Eqn(2) and Eqn(3) together to eliminate b:
[tex]\Rightarrow 18a + 2c = -100[/tex] (4)
Next, multiply Eqn(1) by 3 and then add to Eqn(2) to get
[tex]\Rightarrow 12a + 4c = -56[/tex] (5)
Then we want to eliminate c by multiplying Eqn(4) by -2 and then adding to Eqn(5) and we will get
[tex]-24a = 144 \Rightarrow a = -6[/tex]
Now that we have the value for a, we can use either Eqn(4) or Eqn(5) to solve for c and we will get
[tex]12(-6) + 4c = -56 \Rightarrow c = 4[/tex]
Using the values of a and c on Eqn(1), we find that [tex]b = 7[/tex] so therefore, our function f(x) has a form
[tex]f(x) = -6x^2 + 7x + 4[/tex]
hen Max was a puppy, he weighed 512 pounds. At his 1-year check-up with the vet, Max weighed 15.8 pounds.
How much weight did Max gain between the time he was a puppy and his 1-year check-up?
Enter your answer as a decimal or simplified mixed number in the box.
Answer:
10.3lbs or 10 3/10 as a mixed number
Step-by-step explanation:
i have the same question on my test so i know this is right but here's an explanation: so 5 1/2 pounds is the same as 5.5 pounds, and if you add 10 pounds to 5.5 pounds, you get 15.5 pounds, which is 3 ounces away from 15.8 pounds. so adding 3 ounces to the 10 pounds, then adding that to the 5.5 pounds, you would get 15.8. therefore, your answer is 10.3lbs.
The puppy gained 10.3 pounds of weight in 1 year.
What is subtraction?Subtraction is one of the arithmetical operations, to subtract means to take away from a group or a number of things.
Given that, Max was a puppy, he weighed [tex]5\frac{1}{2}[/tex] pounds. At his 1-year check-up with the vet, Max weighed 15.8 pounds.
[tex]5\frac{1}{2}[/tex] pounds = 5.5 pounds
Weight before 1 year = 5.5 pounds
Weight after 1 year = 15.8 pounds
Weight gained by the puppy in 1 year = 15.8-5.5 = 10.3 pounds
Hence, the puppy gained 10.3 pounds.
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UGHHHHH SOMEONE PLEASE ANSWER THIS!
GIVING BRANLIST TO FIRST ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A) -3 1/2 = Yes
B) -1.5 (is the same as -1 1/2) = No
C) -1/4 (is a quarter) = Yes
D) 3/2 (is basically 1 1/2) = No
E) 2 1/4 (is basically 2 and a quarter) = No
F) 4 2/3 = Yes
Step-by-step explanation:
Hope this helps :)
Please let me know if I'm somehow wrong, thank you.
Answer:
I think it's
A yes
B no
C yes
D no
E no
F yes
Step-by-step explanation:
♥ I hope this helps ♥
Identify the set of ordered pairs that represents y as a function of x.
{(0, 0), (1, 1), (2, 3), (3, 3)}
{(−1, 0), (1, 0), (3, 0), (3, 4)}
{(0, 0), (0, 1), (2, 3), (3, 4)}
{(1, 0), (2, 0), (3, 3), (3, 4)}
Answer:
A
Step-by-step explanation:
weekand homework and i need help
Answer:
C. 54
Step-by-step explanation:
36/60=.6
90*.6=54
Answer:
1 got C.
60/36=1.66666667
60/(5/3)=36
90/(5/3)=54
Somebody please help with explanation
Will mark brainliest
Question 48
Answer: 85 stamps are not foreign.
Step-by-step explanation:
3/8 of 136 = 51
136 - 51 = 85
CHECK
51 + 85 = 136
THIS ANSWER IS WORTH 20 PTS!!! WILL REWARD BRAINLIEST!!!
Convert the exponential equations into logarithmic form:
Answer:
a ) C = 81 and D = 4
b ) E = 625 and F = 4
c ) G = 1000 and H = 4
Step-by-step explanation:
!!! Help im failing math !
Answer:
So am I lol btw I think it’s C
Step-by-step explanation:
yooooooooooooooooooooooooo
Answer:
3/2
Step-by-step explanation:
Rise over run meaning how many up over how many over (would be a negative rise if the line was \ instead of /)
find where the line intersects with the corner of the graph lines and plot from there.
Mark me as brainliest if this helps!
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The slope of given line is ~
[tex] \boxed{ \frac{3}{2} }[/tex]
Let's find the slope of the given line by using the coordinates of points (3 , 0) and (1 , -3) ~
[tex] \sf{ \dfrac{y_2 - y_1}{x_2 - x_1} }[/tex][tex] \dfrac{0 - ( - 3)}{3 - 1} [/tex][tex] \dfrac{3}{2} [/tex]Some equilateral triangles are not isosceles. True or false
Answer:
An isosceles triangle is never equilateral.
Step-by-step explanation:
Equilateral means that the side are of equal length. ALL the sides, not just two of them.
Aaron creates a stacked cake comprised of three cylindrical sections as pictured below, and plans to cover the top of each section with a different color icing. Each lower section is a total of two inches wider than the section above it. If the yellow top of the upper section has an area of 12.56 square inches, what is the approximate area of the green visible portion of the bottom section which he will need to cover with icing?
Answer:
Step-by-step explanation:
A = πR²
top layer has a radius of
R = √(12.56/π) = 2 inches
The middle layer has a radius of 3 inches and an area of
A₂ = π3² = 9π in²
The bottom layer has a radius of 4 inches and an area of
A₃ = π4² = 16π in²
so the visible area on the bottom layer has an area of
16π - 9π = 7π in² or about 22 in²
help me someone please
Answer:4root3
Step-by-step explanation:
if you dont know what a equilateral triangle its just. a triangle basically
(im in 7th btw)
Use point-slope from to write the equation of a line that passes through the point (10,3) with slope -5.
Answer:
[tex]y=-5x+5[/tex]
1. You are interested in recycling behavior and whether it varies between urban and
rural residents. You know that the statewide recycling rate is 48.89%, and you
survey 140 rural residents and 310 urban residents to find out if they recycle.
180 urban residents respond that yes, they recycle. 130 do not. 40
rural residents recycle, and 100 do not.
a) Construct an expected frequencies crosstab, based on the sample size and the
statewide recycling rate.
b) Construct an observed frequencies crosstab, based on your actual data.
(NOTE for 1a and 16: Be sure to include both percentages and frequency values, in
Answer:
65
Step-by-step explanation:
Find the inequality represented by the graph?
Answer:
[tex]y \geqslant - 2x - 5[/tex]
Step-by-step explanation:
Since the shaded area is above the line and the line is solid, you will use the greater-than-or-equal-to sign.
Not to mention inequalities still have a slope and y-intercept. (In this case, the y-intercept will be -5, since the line crosses the y-axis at that point, and the slope will be -2 because the line is going down 2 units and to the right 1 unit.)
Hope this helps :)
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Which graph shows the following system of equations and it’s solution?
{ -2x -y = -5
{ 2x - 3y = 1
Answer:
Step-by-step explanation:
These two lines will intersect at (-4, -3). The top equation will have a slope of 1/4 and the bottom one a slope of 7/4.
what is 250% of 5
please help
Answer:
12.5
Step-by-step explanation:
You can read this problem as ...
2.5 × 5 = 12.5
__
You can think of % as meaning /100. You can think of "of" as meaning "times". Then the expression
250% of 5
can be thought of as ...
250/100 × 5
= 1250/100 = 12.5
Brenda makes wooden coaster she cut small
Answer:
Yeah maybe she did that btw she’s very tall
Step-by-step explanation:
