Answers
a) The initial number of infections refers to the time t = 0, not 1. At the start, there are
[tex]P(0) = \dfrac{700}{1 + 49e^{-0}} = \dfrac{700}2 = \boxed{350}[/tex]
infected students.
b) Here you look for the time t such that P(t) = 600. We have
[tex]\dfrac{700}{1+49e^{-0.3t}} = 600[/tex]
[tex]\dfrac{700}{600} = 1+49e^{-0.3t}[/tex]
[tex]\dfrac76 = 1+49e^{-0.3t}[/tex]
[tex]\dfrac16 = 49e^{-0.3t}[/tex]
[tex]\dfrac1{294} = e^{-0.3t}[/tex]
[tex]\ln\left(\dfrac1{294}\right) = \ln\left(e^{-0.3t}\right)[/tex]
[tex]-\ln(294) = -0.3t \ln(e)[/tex]
[tex]\ln(294) = \dfrac3{10}t[/tex]
[tex]t = \dfrac{10}3 \ln(294) \approx 18.945[/tex]
Rounding up, the school will close after around 19 days.
Related Questions
A conditional statement is defined as a hypothesis starting with the term 'lf" and ending with the conclusion starting with
the term “then”
A. True
B. False
Answers
Answer:
False
Step-by-step explanation:
The form of a hypothesis is If, then, because.
In AHIJ, the measure of ZJ=90°, the measure of ZI=62°, and IJ = 57 feet. Find the
length of JH to the nearest tenth of a foot.
Answers
Answer:
[tex]x = 107.2[/tex]
Step-by-step explanation:
[tex]57 = ih \cos(62) \\ ih = \frac{57}{ \cos(62) } \\ \\ x = ih \sin(62) \\ x = \frac{57}{ \cos(62) } \times \sin(62) \\ x = 107.2[/tex]
Answer:
Step-by-step explanation:
The graph had prove the adjacent length of angle ZI, which is 57. And asks the opposite side of angle ZI, we use tan. to solve for x.
tan (62) = opposite side / adjacent side
tan (62) = x / 57
tan (62) x 57 = x
x = 107.2
Graph the compound inequality on the number line.
Answers
Answer:
x can equal any number between 0 and 8. This also includes 8.
Step-by-step explanation:
As noted in the problem, x is more than -1 (x > -1)
So we can infer that -1 and anything past it to the left is not a viable answer.
As noted in the problem, x is lesser than or equal to 8 (x ≤ 8) meaning that anything past 8 to the right will not be a viable answer.///
It will look something like this.
It will stop here --v
---•---|---|---|---|---|---|---|---•---
0 1 2 3 4 5 6 7 8
(Hope this helped, however I learned this 2 years ago so my memory might be a little foggy. The exact kind of point (filled or not) namely won't be something I know.)
What is the sum of all the values of m that satisfies [tex]4mx^{2} −2m-6=0[/tex]
Answers
Answer:
The sum of the solutions = 1/2
Step-by-step explanation:
4m^2 - 2m - 6 = 0
Factor out 2
2( 2m^2 -m-3) =0
2 ( 2m-3)(m+1) =0
Using the zero product property
2m-3 =0 m+1 =0
2m =3 m=-1
m = 3/2 m=-1
Adding the solutions
3/2 -1
+3/2 -2/2
1/2
9514 1404 393
Answer:
1/2
Step-by-step explanation:
A quadratic equations that has solutions p and q can be factored as ...
(x -p)(x -q) = 0
When this is expanded, it becomes ...
x^2 -(p+q)x +pq = 0
That is, the opposite of the x-coefficient is the sum of the solutions.
__
We can put your quadratic into this form by dividing by the leading coefficient, 4.
(1/4)(4m^2 -2m -6) = 0
m^2 -1/2m -3/2 = 0
The coefficient of the linear term is -1/2. This tells us the sum of the solutions is -(-1/2) = 1/2.
the question is in the picture, 30 points and BRAINLIEST if right!!
Answers
Answer: relation 3 function relation 4 not a function
Step-by-step explanation:
What is 926 - 628 estimated using compatible numbers
Answers
Answer:
298
Step-by-step explanation:
Parin digs a hole at a rate of 5/6 feet every 15 minutes. After digging for 45 minutes, Parin places a bush in the hole that fills exactly 3/4 feet of the hole.
Relative to ground level, what is the elevation of the hole after placing the bush in the hole?
Enter your answer as a simplified mixed number in the box.
Answers
Answer: IMA LET YOU KNOW THIS THAT ITS ACTUALY -3 8/10
Step-by-step explanation:
________|45 ÷ 15=3|__________________________|5/6 AND 3/4: 5 + 3= 8, 6 + 4= 10|If Parin digs a hole at a rate of 5/6 feet every 15 minutes. After digging for 45 minutes, Parin places a bush in the hole that fills exactly 3/4 feet of the hole. Then the elevation of the hole after placing the bush in the hole is [tex]1\frac{3}{4}[/tex]
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Parin digs a hole at a rate of 5/6 feet every 15 minutes.
In 45 minutes, Parin digs a hole of 5/6×45/15
5/6×3
5/2
The total depth of the digging = 5/2
Now, 3/4 feet dig is filled by bush, so the remaining elevation of the depth, = 5/2- 3/4
five by two minus three by four.
5/2-3/4
Take LCM of 2 and 4
(10-3)/4
7/4
the elevation of the hole after placing the bush in the hole is 7/4.
Now we can write in mixed fraction [tex]1\frac{3}{4}[/tex]
Hence elevation of the hole after placing the bush in the hole is [tex]1\frac{3}{4}[/tex]
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ5
a group of 5 nurses comtain 3 women and 2 men. a second nurse is chosen at random form the four remaining nurses. given that the first nurse was a woman, what is the probability that the second nurse is also a woman
Answers
HELP!
Problem:
Dan is cutting 4.75 foot lengths of twine from a 240 foot spool of twine. He needs to cut 42 lengths and says that 40.5 feet of twine will remain. Show that this is reasonable.
Answers
Answer:
4.75 is about -5(40) =-200, and 340-200=40
Step-by-step explanation:
PLS HELP!! The question is in the photo!! I’m being timed pls hurry!! NO LINKS, NO STEALING POINTS, AND ONLY CORRECT ANSWERS!!!
Drag each tile to the correct location on the table. Each tile can be used more than once, but not all tiles will be used.
Answers
Step-by-step explanation:
Step 2 : Subtraction property of equality
Step 3: simplification
Step 4 : Subtraction property of equality
Step 5: Simplification
Step 6: Multiplication property of equality.
Step 7 : simplification
help pls ill give you brainliest :))
Answers
Answer:
D) 14.2
Step-by-step explanation:
PLEASE SOMEONE HELP ME OUT THIS IS URGENT PLEASE AND THANK YOU! ):
Answers
Answer:
for the first line let (-4,-3) be (x1,y1) and (8,0) be x2,y2.
now,
slope (m1) = (y2-y1)/ (x2-x1)
or, m1= 0-(-3)/ 8-(-4)
or, m1=3/12=1/4
again, for line two consider (0,2) as x1,y1 and (-1,6) be (x2,y2)
apply the same formula and find the slope(m2)
m2=6-2/-1-0
or, m2=4/-1
for b) m1 multiply m2
or 1/4 x 4/-1
=-1 so it is perpendicular
Step-by-step explanation:
for a we simply apply the formula of slope considering the given points as x1,y1 and x2,y2 respectively.
while for the b number if m1 x m2 =-1 the line is considered to be perpendicular.
similarly, if m1=m2 then it is considered to be parallel.
here m1 is slope of the first line, m2 is slope of second line and m3 is the slope of the third line
is the product of two irrational numbers always gonna be irrational
Answers
well, we can say that √2 and √7 are irrational numbers, they do not provide a value that can be written in a "ration" or fractional.
we can also say that √2 * √7 is √(14), which is also irrational.
However, how about √7 * √7, that's √7² or namely just 7, and that's a rational, so nope, not always.
What is the average rate of change of the function from x=1 to x=3?
Answers
Answer:
3
Step-by-step explanation:
1. Jamie bought 4 pounds of sugar for $2.56. What is the cost of sugar per pound?
a) $0.64 per pound
b) $1.64 per pound
c) $1.50 per pound
d) $0.75 per pound
Answer:
Answers
Answer:It is A
Step-by-step explanation: 2.56÷4
Hope that helps!!
a shower head model is using 25 gallons every 5 minutes. How many gallons will be used in one minute?
Answers
Answer:
47 gallons is you want the world wide web nya berarti aku 0you
in the given diagram ,
( angle )AOC= 20 °/• of ( angle )BOC . find the measure of ( angle )AOE if OE is the bisector of
( angle ) AOD
• need a well explained ans
• no spams and plagiarism
• kindly stay out of the question if u don't know the ans
Answers
Answer:
It should be BOC
Step-by-step explanation:
this is because a bisector is always a cross or any other shape that cuts something into its exact half (unlike intersect which can cut any shape in any form unlike its exact half )
so, as you can see in the figure, angle BOC is bisecting* AOC at its exact half, angle BOC is the answer.
Also, the measure of BOC (angle) should be 53°
Why do the graphs of basic exponential functions all have the point (0,1) in common?
Explain your answer using a few complete sentences.
Answers
Answer:
b/c any real number to the power of zero is one
Step-by-step explanation:
let a be any real number then
a^0=1
4 less than the product of 2 and a number equals 5 is written how in an equation?.
Answers
Answer:
2+x-4=5
Step-by-step explanation:
Answer:
2+x-4=5
Step-by-step explanation
:) :) :) :) :) :) :) :) :) :) :) :) :) :) :)
if you pay 6$ for a pound of something how much would it cost to buy 2.6 pounds
Answers
Answer:
[tex]6\cdot2.6=15.6[/tex]$ for [tex]2.6[/tex] pounds
Step-by-step explanation:
Rate - [tex]6[/tex] dollars per pound
We have [tex]2.6[/tex] pounds
Here's our equation
[tex]6\cdot2.6[/tex]
Solve[tex]6\cdot2.6=15.6[/tex] for [tex]2.6[/tex] pounds
Please help me with this question :)
Answers
Answer:
B
B
B
Step-by-step explanation:
Probability doesn't deal with decimals and even if you change the values into fraction. I don't think you will get the right answer
Put these in order starting with the smallest.
Answers
Answer:
Step-by-step explanation:
[tex]9^{\frac{3}{2} }[/tex] = ( √9 )³ = 27
[tex]27^{\frac{1}{3} }[/tex] = ∛27 = 3
[tex]125^{\frac{2}{3} }[/tex] = ( ∛125 )² = 25
[tex]27^{\frac{1}{3} }[/tex] , [tex]125^{\frac{2}{3} }[/tex] , [tex]9^{\frac{3}{2} }[/tex]
Answer:
[tex] {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]
Step-by-step explanation:
[tex] {9}^{ \frac{3}{2} } = \sqrt[2]{ {9}^{3} } = \sqrt[2]{ {3}^{6} } = { 3}^{3} \\ {27}^{ \frac{1}{3} } = \sqrt[3]{27} = \sqrt[ 3]{ {3}^{3} } = 3 \\ {9}^{ \frac{3}{2} } > {27}^{ \frac{1}{ 3} } \\ \\ {125}^{ \frac{2}{3} } = \sqrt[3]{ {125}^{2} } = \sqrt[3]{ {5}^{6} } = 25 \\ \\ 3 < 25 < {3}^{3} \\ {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]
Which of these is a ratio equivalent to 3/2?
A. 6/4
B. 3/4
C. 5/2
D. 5/2
Answers
Answer:
A
Hope I helped
6 and 4 have a common factor of 2.
This means we need to divide 6 by 2 and 4 by 2. That gives us 3 and 2.
6/4 simplified is 3/2.
Compare the properties of each exponential function over the interval(0,4)
Answers
Answer:
sdgsehseh
Step-by-step explanation:
sehsdhsehsdhs
Write the equation in point-slope form of the line that passes through the given point with the given slope.
m= -1
The equation of the line is
(Simplify your answer. Type an equation. Type your answer in point-slope form. Use integers or fractions for any numbers in the equation)
Answers
Answer:
[tex]\displaystyle y - 5 = -(x + \frac{1}{5})[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify variables.
Slope m = -1
Point [tex]\displaystyle (-\frac{1}{5} ,\ 5)[/tex]
Step 2: Find Equation
Substitute in variables [Point-Slope Form]: [tex]\displaystyle y - 5 = -(x - -\frac{1}{5})[/tex][Order of Operations] Simplify: [tex]\displaystyle y - 5 = -(x + \frac{1}{5})[/tex]PLEASE HELP ME
WILL MARK BRAINLIEST
Answers
Answer:
Line AB is a chord.
Line AB is the tangent line.
Step-by-step explanation:
Line AB chord.
PLS HURRY, LOTS OF POINTS
If point N is the centroid of HIJ, IM = 18, KN = 4, and HL = 15, find NM.
Answers:
12, 6, 8, or 2
Answers
The centroid of a triangle divides the triangle in 1/3 and 2/3.
The length of NM is 6 units
The given parameters are:
IM = 18
KN = 4
HL = 15
The centroid of the triangle divides line IM to NM and NI, where NM < NI
So, we have:
[tex]\mathbf{NM = \frac 13 \times IM}[/tex]
This gives
[tex]\mathbf{NM = \frac 13 \times 18}[/tex]
Expand
[tex]\mathbf{NM = 6}[/tex]
Hence, the length of NM is 6 units
Read more about centroids at:
https://brainly.com/question/11891965
What is the solution to this equation?
3(a - 4) + 1 = 9 - a
O a = 3
a = 5
O a = 6
O a = 10
Answers
Answer:
B. a = 5
Step-by-step explanation:
3(a - 4) + 1 = 9 - a
Distribute the 3 into the parenthesis.
3a - 12 + 1 = 9 - a
Add -12 and 1.
3a - 11 = 9 - a
Add a to both sides.
4a - 11 = 9
Add 11 to both sides.
4a = 20
Divide both sides by 4.
a = 5.
Proof:
3(a - 4) + 1 = 9 - a
Substitute variable.
3(5 - 4) + 1 = 9 - 5
Subtract inside parenthesis.
3(1) + 1 = 9 - 5
Multiply 3 and 1.
3 + 1 = 9 - 5
Add 3 and 1.
4 = 9 - 5
Subtract 5 from 9.
4 = 4.
When doing curls, John is careful to extend through the full range of motion and quickly lock his elbows to make sure that he does not drop the weight. This is an example of __________. A. A good technique because he moves quickly B. A bad technique because he moves through the range of motion C. A good technique because he is paying attention to form D. A bad technique because he quickly locks a joint Please select the best answer from the choices provided. A B C D.
Answers
Answer:
d
Step-by-step explanation:
Answer: D. A bad technique because he quickly locks a joint!
Step-by-step explanation: On Edge!
Round 0.574 to the nearest tenth.
Answers
Answer:
0.674
Step-by-step explanation:
