There is a flu outbreak at your school that starts with 10 people. The number of ill students increases by 20% each hour. Write an exponential function to represent the total number of ill students, f(x), where x is the number of hours after the outbreak. How long does it take for at least 100 people to be ill with the flu?

please explain how you do the problem
thank you

Answers

Answer 1

Answer:

y = (10 * 0.2) ^ x

Y = (2)^x

Y =  2^x + 10

6.5 hours

Step-by-step explanation:

Y is the number of people at the school who have been infected with the flu. The 10 is the initial number of infected students which is a constant so it does not change. The 0.2 is the rate of increase, or 20%. The x exponent is the number of hours so that is a changing number. Your answer is 2 to the power of the number of hours which is x. Add ten after that to get your number. to get 100 people ill, it would take about 6.5 hours.


Related Questions

List three different combinations of coins, each with a value of 30% of a dollar ​

Answers

Answer:

1 Quarter + 1 Nickel , 3 Dimes , 30 Pennies , 15 Pennies + 1 Nickel + 1 Dime , 10 Pennies + 2 Nickels + 1 Dime ... There are many different ways to make 30 cents with certain coin combinations.

Step-by-step explanation:

Solve the equation: 12(x + 8) = 11x - 5 What is the solution?

Answers

Answer:

We conclude that the solution is:

[tex]x = -101[/tex]

Step-by-step explanation:

Given the equation

[tex]12\left(x\:+\:8\right)\:=\:11x\:-\:5[/tex]

Expand 12(x + 8):  12x + 96

[tex]12x+96=11x-5[/tex]

Subtract 96 from both sides

[tex]12x+96-96=11x-5-96[/tex]

Simplify

[tex]12x=11x-101[/tex]

Subtract 11x from both sides

[tex]12x-11x=11x-101-11x[/tex]

Simplify

[tex]x=-101[/tex]

Therefore, we conclude that the solution is:

[tex]x = -101[/tex]

If 12x – 20 =
10x + 20 what is the value of 3x ?

Answers

Answer: 3x=60

Step-by-step explanation:

12x-20=10x+20

X=20

3(20)= 60

Find the measure of the indicated angle

Answers

Answer:

36°

Step-by-step explanation:

(6x)° + 54° = 90°

(complementary angles)

(6x)° = 90°- 54°

(6x)° = 36°

Franco said that when the speed and distance are known,you only have to multiply them to get the time. Is Franco's statement correct? Explain why or why not.​

Answers

Answer:

No, you have to divide

Step-by-step explanation:

Speed = distance/time

distance/speed = time

Graph f(x)=4x^3-4x-2

Answers

Answer:

minimum: ([tex]\frac{\sqrt{3} }{3} , -\frac{8\sqrt{3} }{9}-2[/tex])

maximum: (-[tex]\frac{\sqrt{3} }{3} , \frac{8\sqrt{3} }{9}-2[/tex])

vertical intercept: (0 , -2)

Step-by-step explanation:

A fair 10 sided die rolled until a 7 is first seen. What is the probability of rolling the die six times?

Answers

Answer:

The probability of rolling a dice six time until a 7 is first seen is 0.059

Step-by-step explanation:

The probability of getting a seven is equal to [tex]\frac{1}{10}[/tex]

The dice need to be rolled only six times.

This means that for the first 5 times the dice showed values other than 7 and in the last roll it displays 7

Hence the probability of rolling a dice six time until a 7 is first seen is

[tex](\frac{9}{10})^5 * (\frac{1}{10})^1[/tex]

[tex]= \frac{9^5}{10^6} \\= 5.90[/tex] % or 0.059

(6b+9)–(6b+5)

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.

.

.

.

.

.

.

Answers

Answer:

4

Step-by-step explanation:

distribute the negative to remove the parenthesis
6b+9-6b-5
combine like terms
6b-6b=0
9-5=4
0+4=4

answer: 4

solve the following equation

3(y – 2) + 2y = 9

Answers

Answer:

3( y - 2) + 2y =9

Step-by-step explanation:

It equals 3.

Answer:

y=3

Step-by-step explanation:

3(y-2)+2y=9

3y-6+2y=9

Isolate the variable y by transposing

3y+2y=6+9

5y=15

Simplify

y=3

7 more than twice z ..............................................................

Answers

Answer:

2z+7

Step-by-step explanation:

2*z+7

2z+7

Write down the inequality described by five is greater than the result of taking six away from x", and solve for x.

Answers

Answer:

x < 11

Step-by-step explanation:

Taking the problem piece by piece;

five is greater than

5 >

the result of taking six away from x

x - 6

Solve for x;

5 > x - 6

5 + 6 > x

11 > x

x < 11

simple math true and false. not that hard. 11th grade math though

Answers

Answer:

True

Step-by-step explanation:

If my eyes don’t fail me, it‘s true.

Sorry in advance if it’s wrong :<

Answer: True

Step-by-step explanation:

50,60,72 find the 8th term airthmetic and geometric sequence

Answers

Answer:

8th term is 179.15904

Step-by-step explanation:

The sequence is geometric with a common ration = 6/5

r = 60/50 = 72/60 = 6/5

Use the formula

[tex]a_{n} = ar^{n - 1}[/tex]

In your case a = 50, r = 6/5 and n = 8

[tex]a_{8} = 50(6/5)^{8 - 1} \\ = 50(6/5)^{7} \\ = 50(279936/78125)\\ = 179.15904[/tex]

If you like vampire diaries plz tell me DAMON OR STEFAN......​

Answers

Answer:

i like both of them

Step-by-step explanation:

I don’t watch it.. but team stefan

A fence is to be enclosed around a square park of side 15m. Atleast how many metres of fencing are needed?

Answers

Answer: 60 m

Step-by-step explanation:

The park is said to be square which means that all of its sides are equal.

If the fence is supposed to be put around the park, it is an indirect question asking for the perimeter of the square.

Perimeter of a square:

= 4 * length

= 4 * 15

= 60 m

Solve each equation. Leave the answer as an improper fraction. 16x^2 = 49​

Answers

Answer:

7/4

Step-by-step explanation:

Answer:

The Answer would be 7/4 as an Improper fraction

Step-by-step explanation:

Hi could you help pls it is due tonight at 11:59 and its 10:47

Answers

your answer is: y = 2/5x

Answer:

The slope is 1 or 1/1

Step-by-step explanation:

Solve it by using rise over run.

Hope this helps! :)

HELPPP IT'S DUE IN 30 MINUTES I"LL MARK YOU THE BRAINLIEST!!!

You are a wedding planner who is filling small pouches with biodegradable confetti for a wedding reception. You want to fill each pouch with of a cup of confetti, and you have a total of 210 fluid ounces of confetti. You need enough pouches for 120 guests.

Which equation can you use to determine whether you have enough pouches for 120 guests?

number of pouches = 210 +
number of pouches = 210 –
number of pouches = 210 × 8 ×
number of pouches = 210 ÷ 8 ×
number of pouches = 210 ÷ 8 ÷

Answers

Answer:

you have 26 cups so i think its the 4th one or the 5th one

Step-by-step explanation:

Hope this helps!

In triangle ABC, ∠Ais a right angle and m∠B=45°. Fnd BC. Give EXACT answer. (Hint: Exact means the radical form.)
I need help with a few trig questions

Answers

SOH CAH TOA

AC is opposite sin(45)=11/BC
BC = 11/sin(45)
BC=11 root 2

Triangular prism please help

Answers

Answer:

 C

Step-by-step explanation:

WILL GIVE BRAINLIEST TO WHOEVER ANSWERS ALL 3 AND GETS THE RIGHT! PLEASE HELP

Answers

Answer:

4. 21

5. 45

6. 22

Step-by-step explanation:

4. 6 + (2^4) - 1

   6 + (16) - 1

   22 - 1 = 21

5. (4 * 3²) + (18 - 9)

   (4 × 9) + (9)

   (36) + (9) = 45

6. 16 + (5² - 7) ÷ 3

PEMDAS tells us to do what's in Parentheses first

16 + ( 25 - 7) ÷ 3

16 + (18/3)

16 + 6 = 22


X, Y and Z are partners in a firm in the ratio of 1/2 :1/3:1/6
Y retires from business and
X and Z purchase his share of profit in the ratio of 3:2. Find out new ratio ​

Answers

Answer:

6:2

Step-by-step explanation:

X share from old ratio is 1/2

Y share from old ratio is 1/3

Z share from old ratio is 1/6

Now, we are told Y retires and that X and Z purchase his shares.

Thus;

Amount X took from Y = 1/2 × 1/3 = 1/6

Amount Z took from Y = 1/6 × 1/3 = 1/18

Thus, new share of X is now; 1/6 + 1/2 = 2/3

New share of Z is now; 1/18 + 1/6 = 4/18 = 2/9

Ratio is now X:Z = 2/3 : 2/9 = 6:2



Find the Surface Area of the following figure:
16 ft
10 ft
7 ft

Answers

Answer:

1120

Step-by-step explanation:

a metal pipe is 77 cm long the inner diameter of the cross section is 4 cm and the outer diameter is 4.8 cm find the (i) inner curved surface area (ii) outer curved surface area (iii) total surface area

Answer with full step by step explaination​

Answers

Answer:

Step-by-step explanation:

outer area=

first need to find the circumference of outer diameter

= π×4.8

= 15.079644.... cm

to find the outer curved area you would then do

= 77×15.079644

(ii) =1161.13264 cm²

inner curve area

circumference= π×4

=12.5663706.... cm

77×12.5663706

(i) =967.610537 cm²

total surface area=

as the outer and inner curved areas are already found only the top and bottom surfaces need to be

= area of larger circle

=π×4.8²

=72.382294.... cm²

smaller circle

=π×4²

=50.2654824.... cm²

72.382...-50.265

=22.1168116 x 2

=44.2336232 cm²

total surface area

(iii)= 2172.9768 cm²

(round this to however many decimals you need)

I hope this is understandable and useful!

also how many marks is this for?

Point A is located at (-1.4). Point B is located at (3,2). What is the slope of the line that passes through these two points (Make sure your slope is
reduced, if possible)?
6

Answers

Answer:

Y = -1/2x + 7/2

Step-by-step explanation:

slope = -1/2

Find the solution set of the inequality
- 4x +35> 2−4x+35>2minus, 4, x, plus, 35, is greater than, 2
xxx

Answers

Answer:

[tex]\boxed{\textsf{ Hence the solution set is$ \bf{\bigg( \dfrac{33}{4},\infty \bigg) }$}}.[/tex]

Step-by-step explanation:

A inequality is given to us and we need to find the solution set. So the given inequality to us is ,

-4x + 35 >2

[tex]\bf\implies -4x + 35 > 2 \\\\\bf\implies -4x > 2-35 \\\\\bf \implies -4x > -33 \\\\\bf \implies x >\dfrac{-33}{-4}\\\\\bf \implies x > \dfrac{33}{4} \\\\\bf\implies \boxed{\pink{\bf x \in \bigg(\dfrac{33}{4}, \infty \bigg) }}[/tex]

Hence the solution set is x ( 33/4 , ).

Answer:

Step-by-step explanation:

5

Write the equation 3x+2y=8 in general form. SHOW YOUR WORK PLEASE

Answers

Answer:

3x+2y-8=0

Step-by-step explanation:

The equation 3x+2y=8 in general form is 3x + 2y - 8 = 0 respectively.

What is a numerical expression?

A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

We are given that  the equation 3x+2y=8.

The equation of straight line is written as y = mx + c

3x+2y=8.

2y = 8 - 3x

y = 8/2 - 3/2x

y = 4 - 3x/2

Hence, the general form is 3x + 2y - 8 = 0.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

Find the domain and range of the function:
fx) = -√5-x-3
Domain:
Range:
DONE

Answers

Answer:

Domain: [tex]x\leq 2[/tex]

Range: (∞,0)

Step-by-step explanation:

A biologist estimates that the human body contains 90 pounds of water for every 100 pounds of body weight. At the rate estimate the number of pounds of water in a child who weighs 80 pounds

Answers

Answer:

72 lb

Step-by-step explanation:

Write and solve an equation of ratios:

80 pounds             x

----------------- = ------------------

100 pounds      90 pounds

Cross multiplying, we get (100 pounds)x = 7200, or x = 72 pounds.

The 80 pound child's weight includes 72 pounds of water.

Help ASAP Glven the system of equations, what is the value of the system determinant?
2x+y=8
X-y=10​

Answers

Y= 4
Bottom one is 5 divided by 2
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