During a certain epidemic, the number of people that are
infected at any time increases at a rate proportional to the
number of people that are infected at that time. If 1,000 people
are infected when the epidemic is first discovered, and 1,200
are infected 7 days later, how many people are infected 12 days
after the epidemic is first discovered?

Answers

Answer 1

9514 1404 393

Answer:

  1367 people

Step-by-step explanation:

The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...

  i(t) = 1000(1.2^(t/7))

After 12 days, the number infected is modeled as ...

  i(12) = 1000(1.2^(12/7)) ≈ 1367

About 1367 people are infected 12 days after discovery.


Related Questions

Please help asap!!!!

Answers

Answer:

[tex] m\widehat {MP} =46\degree [/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle MQP=\frac{1}{2} \times \widehat {MP} [/tex]

[tex] 23\degree =\frac{1}{2} \times m\widehat {MP} [/tex]

[tex] 23\degree \times 2= m\widehat {MP} [/tex]

[tex] m\widehat {MP} =46\degree [/tex]

OMG PLS HELP!!!!!!!!!!!!!! A rectangular prism has a height of 20 cm, length of 7 cm and width of 5 cm. Use the volume formula to find the volume of this prism. A. 140 cm3 B. 500 cm3 C. 700 cm3 D. 900 cm3

Answers

Answer:

The correct answer is C: 700 cm³

Step-by-step explanation:

V = l × w × h

V = 7 × 5 × 20

V = 7 × 100

V = 700

Factor the expression completely.
35 + 2x2 – 24

Answers

Answer:

[tex]2x^{2} +11[/tex] cannot be simplified further

Step-by-step explanation:

Find the exact value of x. Do the side lengths form a Pythagorean triple?

Answers

Answer: Square root (52), No

Step-by-step explanation:

Answer:

Step-by-step explanation:

4^2 + 6^2 = x^2

sqrt 52 = x

x= 7.211

No, it is not a pythagorean triple because x is not a whole number.

Please help, brainliest for correct answer

Answers

Answer:

11494.04 units

Step-by-step explanation:

V = 4/3 [tex]\pi[/tex] r³ = 4/3 · [tex]\pi[/tex] · 14³ ≈ 11494.04032

Using any method, find the area of the regular hexagon shown below. Show all work! Your final answer should be exact.

Answers

Answer:

864√3

Step-by-step explanation:

(3√3·24²)/2

1728√3/2

864√3

1496.49189773

9514 1404 393

Answer:

  864√3 in²

Step-by-step explanation:

We presume "any method" includes the use of on-line calculators. Unfortunately, this one does not provide the exact answer in reduced form.

  A = (3/2)√3(24 in)² = 3/2×576×√3 in²

  A = 864√3 in²


If g(x) = 3^Vx-123, find g( - 2).

Answers

Answer:

g(-2) = -5

Step-by-step explanation:

We are given the following function:

[tex]g(x) = \sqrt[3]{x - 123}[/tex]

Find g( - 2).

This means that we find g when [tex]x = -2[/tex]. So

[tex]g(-2) = \sqrt[3]{-2 - 123} = \sqrt[3]{-125} = \sqrt[3]{-5^3} = -5[/tex]

So

g(-2) = -5

You moved 7 units left, 8 units up, and ended at point W
Where did you begin?
OA) (1.8)
OB) (9.1)
OC) (81)
OD) (9.8)
Please help me I’m tired

Answers

Answer:

C. (8,1)

Step-by-step explanation:

A small pond contains 8 catfish and two bluegill. If eight fish are caught at random what is the probability that all of them are catfish

Answers

There is a high probability of all of them being catfish since there are 8 catfish in total and since 8 were randomly caught. I don’t truly know.

In a study of speed​ dating, male subjects were asked to rate the attractiveness of their female​ dates, and a sample of the results is listed below ​(1 = not ​attractive; 10 = extremely ​attractive). Construct a confidence interval using a ​95% confidence level. What do the results tell about the mean attractiveness ratings of the population of all adult​ females? 5, 8, 2, 8, 7, 6, 6, 8, 9, 9, 6, 9 What is the confidence interval for the population mean ​μ? <μ

Answers

Answer:

Confidence Interval =  ( 5.6 < μ < 8.2 )

The interval shows that the mean attractiveness is Above average on a scale of 1 to 10

Step-by-step explanation:

Data Given  : 5, 8, 2, 8, 7, 6, 6, 8, 9, 9, 6, 9

a) construct a confidence interval at a 95% confidence level

confidence interval = x ± tcritical ( s / √ n ) ------ ( 1 )

n = 12

μ (mean) = ( 5+8+2+8+7+6+6+8+9+9+6+9 ) / 12  ≈ 6.92

std ( s ) = √ 1/11 *∑( xi- X )^2

= √ 1/11 *  ( 5 - 6.92)^2 + ( 8 - 6.92)^2 + ( 2 - 6.92)^2 + ( 8 - 6.92)^2 + ( 7-6.92)^2 + ( 6 - 6.92)^2 + (6 - 6.92 )^2 + ( 8 - 6.92 )^2 + ( 9 - 6.92)^2 + ( 9 - 6.92)^2 + ( 6 - 6.92 )^2 + ( 9 - 6.92 )^2

= √ 1/11 * 46.92 =  2.07

tcritical at ∝ 0.05 , df = 11  = 2.20

Back to equation 1

6.92 ± 2.2 ( 2.07 / √ 12 )

( 6.92 ± 1.31 )

Confidence Interval =  ( 5.6 < μ < 8.2 )    

PLEASE HURRY! FIRST PERSON GETS BRAINLIST!!!!!!
Hank is throwing a surprise party. The party costs $20 per person. Create an equation and graph to represent the relationship between the cost of the party and the number of friends attending.

The independent variable is ____.
A. Number of friends (f)
B. Cost of party (c)

Answers

Answer:

B

Step-by-step explanation:

S) A $4.00 sales tax is charged for a $50.00 purchase. At this rate, what is the sales tax for a $1200.00
purchase?

Please help me :) I’m down bad

Answers

Answer:

$96

Step-by-step explanation:

4/50=.08 which is sales tax rate

1200X.08=$96 sales tax

Alexandra invested $610 in an account paying an interest rate of 7 3/8% compounded

daily. Madeline invested $610 in an account paying an interest rate of 7 7/8%

compounded continuously. After 16 years, how much more money would Madeline

have in her account than Alexandra, to the nearest dollar?

Answers

Exact answer: 165.5754

Rounded to the nearest dollar: 166

find the angle measure given extended triangles

help pls

Answers

Answer:

x=74

Step-by-step explanation:

Solve big triangle first 33+45= 78

78+28= 106

What is the range of the function on the graph?

Answers

Range is the output values which are the y values.

The dot is at y = 2 and the line moves upward to the right off the graph. This means the line will continue to infinity.

The range would be 2 to infinity.

(2, infinity)

let us have -2 and 1 what will be the answer ??​

Answers

Answer:

[tex] - 2 + 1 \\ = - 1[/tex]

Assuming this is what you asked since your question is not clear.

It is not clear what operation should be performed on -2 and 1. Please provide more information or context so that a specific answer can be provided.


It is unclear what operation you want to perform with -2 and 1. Please specify the operation (addition, subtraction, multiplication, or division) so I can provide the correct answer.

Learn more about addition, subtraction, multiplication, or division here;

https://brainly.com/question/11609653

#SPJ11

Can someoneee please help me

Answers

9514 1404 393

Answer:

  37°

Step-by-step explanation:

The diagonals of a rhombus are angle bisectors. Angle 1 matches the other half of angle L.

  ∠1 = 37°

__

Angle 2 is the complement, 53°, and angle 3 is the same as angle 2, 53°.

The diagonals of a rhombus are perpendicular bisectors of each other, so angle 4 is 90°.

Geometry Question!!!

Answers

9514 1404 393

Answer:

  12.5 cm

Step-by-step explanation:

Triangle IDA is a 3-4-5 right triangle with a scale factor of 5. That is, segment AI is 25 cm long. Since IS is half the length of the diagonal, it is ...

  IS = (25 cm)/2

  IS = 12.5 cm

__

If you like, you can work out the length of AI using the Pythagorean theorem:

  AI² = DI² +DA²

  AI = √(15² +20²) = √(225 +400) = √625 = 25

You have a poster that is 5 feet by 3 feet. You want to put a
frame, with a uniform width, around the picture. The poster
and the frame must have an area of 24 square feet. Find
the width of the frame.
The frame will be 3
units wide.

Answers

Answer:

x=[tex]\frac{1}{2}[/tex] ft

Step-by-step explanation:

Please see the attached image

(5+2x)(3+2x)=24 - solve for x

15+10x+6x+4x^2=24

4x^2+16x+15=24

4x^2+16x-9=0

Use quadratic formula

[tex]x=\frac{1}{2} , x=-\frac{9}{2}[/tex]

x cannot be negative, so we can rule [tex]-\frac{9}{2}[/tex] out.

x=[tex]\frac{1}{2}[/tex] ft.

A box of cherries weighs 2 1/4 pounds.
If you bought 5 boxes, what is the total
weight of the purchased cherries?

Answers

Answer:

The total weight of the purchased cherries is [tex]11\frac{1}{4}[/tex] pounds.

Step-by-step explanation:

Multiply [tex]2\frac{1}{4}[/tex] by 5.

[tex]2\frac{1}{4} * 5 = 11 \frac{1}{4}[/tex]

Answer:

11.25 or 45/4

Step-by-step explanation:

2 1/4 times 5

Jan’s family has 3/4 of a cake left. How many members of her family can get 1/4 of what is left?

Answers

Answer:

3

Step-by-step explanation:

3/4 divided by 1/4 equals 3

Answer:

3

Step-by-step explanation:

3/4 is currently left

Subtract 1/4 by 3/4 until nothing is left

The number you get is 3 therefore the answer is 3

Evaluate the expression. Can someone show me how this is done with fractions on 7 and 9

Answers

Answer:

Number 7 is; -1/7776

number nine is :| −8/ 3 | or 2.666667

Step-by-step explanation:

-1/6)^5=1^5/6^5

=-1/^5/6/5

1^5=1

=-1/6^5

6^5=7776

=-1/7776

|(− 1/ 3 )(110+9−2)|

=| −1/ 3 (110+9−2)|

=| −1/ 3 (1+9−2)|

=| −1/ 3 (10−2)|

=| −1 /3 (8)|

=| −8 /3 | =2.666667

Hope this helped!!!!

Carl paid $40 for 12.5 gallons of gas.After calculating,he said that the cost per gallon was about 31 cents per gallon.Is there anything wrong with Carl's thinking?.​

Answers

Answer:

Well yes, because it should have cost $3.2 PER gallon

Step-by-step explanation:

Divide 40 by 12.5 to find out how much of a per gallon costs! Hope it helps.

3
Select the correct answer from each drop-down menu.
A cross section is the intersection of a
✓ and a

Answers

Answer: three dimensional figure and plane.

Step-by-step explanation:

A cross section is the intersection between a (three dimensional figure) and also a (plane).

When an object is being cut straight, the shape that we get is referred to as the cross section. We should note that several parallel cross sections will be firmed when we cut a particular object into slices.

twenty subtract from 28

Answers

Answer:

8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

20-28= -8

Determine the equation of a circle with center at (8, 10) and radius is 6​

Answers

Use the equation ( x - h ) ^ 2 + ( y - k ) ^2 = r ^2
Where (h,k) is the center and the r is the radius . So the equation is as follows
( x- 8 ) ^2 + ( y -10 ) ^ 2 = 6^2

Hope this helped

David invests $7000 in two different accounts. The first account paid 2 %, the second account paid 5
% in interest. At the end of the first year he had earned $182 in interest. How much was in each
account?

Answers

Answer:

3,990

Step-by-step explanation:

Please help i need to get these right or i fail WILL GIVE BRAINLEST!!!

Answers

Answer:

Give brainly to other guy

Step-by-step explanation:he deserves it

17% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who

favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight

(a) P(3)=(Round to three decimal places as needed)

(b) P(x24) =(Round to three decimal places as needed.)

(c) P(x<8)=(Round to three decimal places as needed.)

Answers

Answer:

Following are the solution to these question:

Step-by-step explanation:

Following are the binomial distribution with parameters:

[tex]n = 12\\\\p = 0.24[/tex]

For point a:

[tex]\to P(X = 3) = binom.dist(3, 12, 0.24, False) = 0.2573[/tex]

For point b:

[tex]\to P(X > 4) = 1 - P(X < 3) = 1 - binom.dist(3, 12, 0.24, True) = 0.3205[/tex]

For point c:

[tex]\to P(<8) = binom.dist(7, 12, 0.24, True) = 0.9979[/tex]

A pair of shoes that normally sells for $85.00 goes on sale for 35% off. Season thinks that the sale price should be $50.00 but Melanie disagrees and says the price should be $55.25. Aiyanna says they are both wrong and decides the price should be $29.75. Who is correct and why?

Answers

Answer:

Melanie is correct

Step-by-step explanation:

35% of 85 is 29.75 so take that away from the original price and you get 55.25

This means the price will be 55.25$

Answer:

Melanie is correct since 65% of $85.00 is $55.25.

Step-by-step explanation:

The original price of the shoes is $85.00. That is 100% of the price of the shoes since 100% is a whole amount.

The discount on the shoes is 35%.

100% - 35% = 65%

That means the sale price is 65% of the original price. Now we calculate 65% of $85.00.

65% of $85.00 =

= 0.65 * $85.00

= $55.25

Answer: Melanie is correct since 65% of $85.00 is 55.25.

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