The number of students in an school building that have the flu after t days is given by the function

()=800/1+49^−0.2

a) What was the initial number of students infected (think about what time is initially).

b) When will the number of students infected be equal to 200?

Round all of your answers to the NEAREST whole number and be sure to label your answers.

The Number Of Students In An School Building That Have The Flu After T Days Is Given By The Function()=800/1+49^0.2a)

Answers

Answer 1

Step-by-step explanation:

[tex]p(0) = \frac{800}{1 + 49 {e}^{ - 0.2 \times 0} } = \frac{800}{1 + 49} = \frac{800}{50} = 16[/tex]

[tex]200 = \frac{800}{1 + 49 {e}^{ - 0.2t} } \\ 200(1 + 49 {e}^{ - 0.2t} ) = 800 \\ 200 + 9800 {e}^{ - 0.2t} = 800 \\ 9800 {e}^{ - 0.2t} = 600 \\ {e}^{ - 0.2t} = \frac{3}{49} \\ ln( {e}^{ - 0.2t} ) = ln( \frac{3}{49} ) \\ - 0.2t = - 2.793 \\ t = 13.96 = 14[/tex]


Related Questions

What is the length of line segment SA

Answers

Answer:

slalalallalalalalalalalalallapapapqpqpq

Roger bought some tins and decided to fill them with brownies to give to his friends. Roger baked 278 brownies. He put 4 brownies in each tin and made sure to fill as many tins as he could. How many brownies did Roger have left over?

Answers

Answer:

Divide 278 by 4 and the remainder value is the amount of leftover brownies.

278 ÷ 4 = 69, remainder of 2

Therefore, he had 2 brownies left.

8x+4=3(x-1) +7 solve​

Answers

Answer:

x = 0

Step-by-step explanation:

8x + 4 = 3(x − 1) + 7

Simplify both sides of the equation:

8x + 4 = (3)(x)+ (3)(−1) + 7

8x + 4 = 3x + (−3) +7

Combine like terms:

8x + 4 = (3x) + (−3+7)

8x + 4 = 3x + 4

Subtract 3x from both sides:

8x + 4 − 3x = 3x + 4 − 3x

5x + 4 = 4

Subtract 4 from both sides:

5x + 4 − 4 = 4 − 4

5x =0

Divide both sides by 5:

5x/5 = 0/5

x = 0

Identify the equation of the circle that has its center at (7, -24)
and passes through the origin.

Answers

Answer:

(x-7)²+(y+24)² = 625

Step-by-step explanation:

A circle with center (h, k) and radius r can be represented as

(x-h)²+(y-k)² = r²

We know the center and one point, and need to find the radius. The radius is equal to the distance from the center to any point on the circle. Therefore, we need to find the distance from the center to the point on the circle (in this case, the origin) to obtain the radius.

The distance formula for points (x₁, y₁) and (x₂, y₂) is √((x₁-x₂)²+(y₁-y₂)²). Note that x₁ and x₂ (as well as y₁ and y₂) are interchangeable but x₁ and y₁ or x₂ and y₂ are not.

Our distance between (7, -24) and the origin is

√((x₁-x₂)²+(y₁-y₂)²) = √((7-0)²+(-24-0)²)

= √625

= 25

Therefore, the radius is 25 and our equation is

(x-7)²+(y-(-24))² = (x-7)²+(y+24)² = 25² = 625

How do I do this? I don’t understand it

Answers

Answer:

Step-by-step explanation:

x+65 = 180                            Consecutive angles in llgm are supplementary

x = 180-65                             Subtract equal amounts from both sides.

x = 115

y + 65 = 90                           This hard to explain without letters. The lines are parallel. The right angle is an extension of the right vertical parallel line. So the left two angles are 90 degrees because of the perpendicular angles.

y = 90 - 65

y = 25

Find the sum of the first 40 terms of an arithmetic series whose first term is 7 and 40th term is 115. Type answer as an integer (no decimals)
arithmetic sum formula:
Sn = (a1 +
+ an)
geometric sum formula:
az (1 - p)
S =
1-r
Answer:

Answers

Answer:

2440

Step-by-step explanation:

an=115

a=7

Sn=n/2(a+an) [Where n is no. of terms]

   = 40/2(7+115)

   = 20(122)

   = 2440

The line plot below shows the amount of time Jason spent practicing
his soccer skills on six separate days. How much time did he spend on
all six days?
х
X
х
+
3
х
+
1
х
1

Times (hour)


Please help me I will give brainliest!!!!

Answers

The total amount of time spent on practicing is 3 minutes

To obtain the total practice time, we multiply the time taken by its respective frequency as seen on the plot.

From the plot:

([tex](1 * 0) + (1 * 1/4) + (2 * 1/2) + (1 * 3/4) + (1 * 1)\\(0 + 1/4 + 1 + 3/4 + 1)\\= 3[/tex]

Hence, the total amount of time spent is 3 minutes as obtained from the dot plot given.

Learn more: https://brainly.com/question/16246931

CAN YOU GUYS HELP ME PLS IM FAILING GET THIS CORRECT PLS IM FAILING BADDD ITS PYTHAGOREAN THEOREM

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Answer:

the answer will be 10.81

if.you round of to the nearest tenth then 10.8 feet will be the distance from slide to the monkey bar

Factorize:
a)(a+b) (a-b)-a+b
b)a²-(b-3)a-3b
c) ax²-bx²-ax+bx+a-b



help Me these questions I will mark u as brainliest​

Answers

Answer:

Step-by-step explanation:

Instructions: Find the missing side. Round your answer to the nearest tenth

Answers

Answer:

x≈64.3

Step-by-step explanation:

since we already know the measures of 2 of the 3 angles in the triangle, we can find the 3rd angle:

180°-90°-25°=65°

now, we can use the law of sines to find the missing side:

sin25°/30=sin65°/x

x sin25°=30sin65°

x=(30sin65°/sin25°)

x≈64.33520762

rounded to the nearest 10th:

x≈64.3

Write the solution set of the inequality graphed below as a com-
pound inequality using the variable g.

Answers

Answer:

-17 < g [tex]\leq[/tex] 8

Step-by-step explanation:

'g' is within the range of numbers that are greater than -17 and less than or equal to 8. we know that it is less than or equal to because the circle is closed or filled in, at 8.

What is the value of the variable result after these lines of code are executed?

>>> a = 3
>>> b = 2
>>> c = 0
>>> result = a * b - c * b

Answers

Answer:

the answer is 6

Step-by-step explanation:

3×2-0×2=6

Divide $128 in the ratio 2:3:7​

Answers

Answer:

21.33: 32: 74.67

Step-by-step explanation:

2:3:7

The total is 2+3+7 = 12

Divide 128 by 12

128/12 = 32/3

Multiply each number by 32/2

2*32/3 : 3*32/3  :7*32/3

64/3 : 32 : 224/3

Rounding to the nearest cent

21.33: 32: 74.67

Simplify the square root of –75

Answers

Answer:

5 i √ 3

Step-by-step explanation:

proof of basic proportionality theorem ​

Answers

Answer:

Basic proportionality theorem: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio. and DE intersects AB and AC at D and E respectively. ... Hence we can say that the basic proportionality theorem is proved.

[tex] \boxed{ \sf \: Basic \: Proportionality \: Theorem \: (BPT)}[/tex]

This theorem states that if a line is drawn parallel || to one side of a triangle ∆ to intersect the other 2 sides in distinct points, the other 2 sides are divided in the same ratio.

From the figure, with the help of this proof, we can see that :-

[tex]\sf \: \frac{AD}{AE} = \frac{AE}{EC} \\ [/tex]

Refer to the attached pictures for the proof & the figure.

_____

Hope it helps.

RainbowSalt2222

fill in the blanks □+0=3/4.also mention the property used.
plz answer fastly and give correct answer and I can understand .​

Answers

Answer:

3/4 + 0 = 3/4 Additive Neutral Property

Step-by-step explanation:

Given m|n, find the value of x.
(6x-5)
(6x+5)
Answer:
Submit Answer
attempt
PLSSSS HELP

Answers

Answer:

x = 15

Step-by-step explanation:

The two angles form a straight line so they add to 180

6x-5+6x+5 = 180

Combine like terms

12x= 180

Divide by 12

12x/12 =180/12

x = 15


What is the equation of the line?

Answers

X=3 is the equation of the line


Describe the symmetry of the figure. Identify lines of symmetry, if any. Find the angle and the order of any
rotational symmetry.

Answers

Answer:

No symmetry

Step-by-step explanation:

The shape cannot be folded over any line to be equally matched up to the other side

Which of the following budgets is in surplus?

o Income $500, Fixed Exp. $100, Living Expenses $300

o Income $300, Fixed Exp. $100, Living Expenses $300

o Income $400, Fixed Exp. $100, Living Expenses $300

Answers

Answer:

Income $500, Fixed exp. $100, Living Expenses $300

Several days after a wedding, an outbreak of cyclosporiasis occurred among attendees. Of the 108 guests at the wedding, 76 were ill and met the case definition. 50 of the 76 who were ill ate the wedding cake. Three of those who were well ate the wedding cake. What is the attack rate for those who ate the wedding cake

Answers

Answer:

The answer is "94.3".

Step-by-step explanation:

Calculating the total numbers of cake eaters[tex]=50+3=53\\\\[/tex]

Calculating the total numbers of ill among them[tex]=50\\\\[/tex]

[tex]\therefore[/tex]

The attack rate for those who ate cake[tex]=\frac{50}{53}\times 100\%=94.3[/tex]

Help me pleaseee i could really use it

Answers

Answer:

20 and 42

Step-by-step explanation:

Let the greater number be x and the smaller number be y.

3(x +y)= 186

x +y= 186 ÷3

x +y= 62 -----(1)

x -y= 22

x= y +22 -----(2)

Substitute (2) into (1):

y +22 +y= 62

2y= 62 -22 (-22 on both sides)

2y= 40

y= 40 ÷2

y= 20

Substitute y= 20 into (2):

x= 20 +22

x= 44

Thus, the two numbers are 20 and 42.

which statement is true

Answers

3) an $8 delivery fee and $1.50 per litre of water

This is because the $8 is a constant baseline, then adding $1.50 times the amount of litres purchased.

The circumference of a circle is 257 cm. What is the area,
in
square
centimeters

Answers

Answer:

[tex]2\pi \times r = c[/tex]

[tex]\pi \times {r}^{2} = a[/tex]

A=5257.76

Step-by-step explanation:

Or use a calculator online.

5267.56 because I said so use a calculator lol

What is the volume of the rectangular prism.

A. 16in. 3
B. 22 1/2in. 3
C. 200 in. 3
D. 212 1/2in. 3

Answers

Answer:

C: 200

Step-by-step explanation:

Just multiply 12.5 x 8 x 2 to get the answer.

Answer:

C. 200 in.^3

Step-by-step explanation:

The volume is given by

V = l*w*h

V = 12 1/2 * 8*2

V = 25/2 *8*2

  = 25*8

  = 200 in ^3

The lengths of the sides of a triangle are 4,5 and 6 if the length of the longest side of a similar triangle is 15,what is the length of the shortest side of the triangle

Answers

Answer:

The length of the shortest side of the triangle is 10.

Step-by-step explanation:

Given that the lengths of the sides of a triangle are 4, 5 and 6, if the length of the longest side of a similar triangle is 15, to determine what is the length of the shortest side of the triangle, the following calculation must be performed :

6 = 15

4 = X

4 x 15/6 = X

10 = X

Therefore, the length of the shortest side of the triangle is 10.

How many significant digits are there in the number 1.00250? OA) 7 OB) 6 OC) 5 OD) 4​

Answers

Answer:

OB

Step-by-step explanation:

start counting from 1

Then your significant digit is 6

there are 32 students in a class and 20 of them own at least one pet what fraction of the class own pets

Answers

HOPE IT HELPS

PLEASE MARK BRAINLIEST

The fraction of the class that owns pets is 20/32, which can be simplified to 5/8.

To find the fraction of the class that owns pets, we divide the number of students who own pets by the total number of students in the class.

A fraction is a mathematical representation of a part-to-whole relationship. It is expressed as a numerical quantity written in the form of one number (the numerator) divided by another number (the denominator), separated by a horizontal line or slash (/).

The numerator represents the number of parts being considered or counted, while the denominator represents the total number of equal parts that make up the whole. Fractions can be used to describe a portion or share of something, as well as to compare quantities or perform mathematical operations.

Number of students who own pets: 20

Total number of students in the class: 32

Therefore, the fraction of the class that owns pets is 20/32, which can be simplified to 5/8.

To know more about  fraction , here

https://brainly.com/question/30154928

#SPJ2

what is 14.005 as a fraction

Answers

Answer:

[tex]14 \frac{5}{1000} [/tex]

Step-by-step explanation:

[tex]14.005 = 14 \frac{5}{1000} [/tex]

proper frac 14 1/200

improper frac 2801/200

In a survey of 850 students in a school, 90% reported having pets at home. If the margin of error is 3.4%, what is the interval that is likely to contain the exact percent of all people who have pets at home?

Between 3.4% and 90%
Between 90% and 93.4%
Between 86.6% and 90%
Between 86.6% and 93.4%

Answers

Answer:

Between 86.6% and 93.4%

Step-by-step explanation:

To obtain the population proportion from the sample, we calculate the confidence interval ; Confidence interval = phat ± margin of error Phat = 90% ; margin of error = +3.4%   90% ± 3.4% (90 - 3.4)% ; (90 + 3.4)% 86.6% ; 93.4%
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