2. Scientists measure a bacteria population and find that it is 20,000. Four days
later, they find that the population has doubled. Which function f could describe
the bacteria population d days after the scientists first measured it, assuming it
grows exponentially?

Answers

Answer 1

Answer:

P(t) = 20,000 * e^0.173287t

Step-by-step explanation:

P(t) = Po * e^k*t

Po = 20,000

t = 4

P(t) = 40,000

40,000 = 20,000 * e^4k

2 = e^4k

ln 2 = ln e^4k

ln 2 = 4k * ln e

ln 2 = 4k

0.173287 = k


Related Questions

wanna help a fellow hawt person out?

Answers

Answer:

50

Step-by-step explanation:

You gotta add up 38 and 12 because it reflects and it's the same across ABC

Which term has the definition "A data point that is very large or very small in comparison
to the rest of the data set"?
A.Maximum
B. Outlier
C. Variability
D. Minimum

Answers

Answer:

B. Outliers

Step-by-step explanation:

B. Outliers are those that are separated from the rest.

10 less than twice a number cubed?

Answers

Let say the number is 2 and 2 cubed is 4 so it is -6
X represents the number so x times 2 = x-10

if i can make 60 cakes in 15 minutes , how many can i make per minute what is the unit rate

Answers

4 per a minute

Step-by-step explanation:

A father is eight times as old as his son . In 10 years , he will be three times as old as his son . The age of son is

Answers

Answer:

The son is 4years old

Step-by-step explanation:

Let the son's age=x

the father's age=8x

IN 10YEARS,

Son's age=x+10

father's age=8x+10

Equate them

8x+10=3(x+10)

8x+10=3x+30

5x=20

x=4

What is the range of this data set?

3.7, 18.5, 2.7, 13.8, 7.5, 15.2, 10.1, 7.6, 17.8




14.1

15.8

17.8

18.5

Answers

Answer:the answer is 15.8

Step-by-step explanation:

Hi please help thank you so much

Answers

Answer:

23.09 ft

Step-by-step explanation:

tan = [tex]\frac{opposite}{hypotenuse}[/tex]

⇒ tan 13 = [tex]\frac{x}{100}[/tex]

tan of 13 is 0.23086

⇒ 0.23086 = [tex]\frac{x}{100}[/tex]

multiply each side by 100

⇒ 0.23086 x 100 = [tex]\frac{x}{100}[/tex] x 100

solve:

⇒ 23.0868

round to the nearest hundreth:

⇒ 23.09

ahmed is 4 years old than sara, 5 years ago the sum of their age was 48, write a algebric equation to represent the situation and find saras age​

Answers

Answer:

bjbhj

Step-by-step explanation:

how much force is needed to accelerate a 66kg skier at 2m/second​

Answers

Answer:

[tex]\huge\boxed{\sf F = 132\ N}[/tex]

Step-by-step explanation:

Given Data:

Mass = m = 66 kg

Acceleration = a = 2 m/s²

Required:

Force = F = ?

Formula:

F = ma

Solution:

F = (66)(2)

F = 132 N

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Janine plans to deposit $20,000 at the end of each year for eight years into an investment account. The mutual funds containing stocks what continue to yield 6% per year. Find the future value.

Answers

Answer:

$197,949.40

Step-by-step explanation:

Just took the quiz.

The water pipe has a radius of 5 cm and a height of 7 cm. What volume of
water does it take to fill the pipe?

Answers

Answer:

549.5 cm

Step-by-step explanation:

Answer:

pipe is cylinder

volume= pi r²h

radius= 5cm

height= 7cm

volume = 22/7 × (5×5) × 7

simplifying the equation

= 22 × 25

= 550cm³

Find the Total surface area

A prism 11 in tall with a right triangle for a base with side lengths 6 in, 8 in, and 10 in.

A) 344 in2

B) 383 in2

C) 312 in2

D) 288 in2

Answers

Answer:

You may not recognize this...but the base forms a "Pythagorean"  right triangle  with legs  of  6 and 8  cm

The area of a right triangle is  (1/2)  ( product of leg lengths)

So...the area of the base   = (1/2) (6 * 8 ) = (1/2) 48  = 24 cm^2

And the volume of the prism is just the   base area  x  height =   24  x  7  =   192 cm^2

Step-by-step explanation:

Based on the problem above, how would you rewrite as a binomial squared?

x^2 + 8x - 3 = 0 (x + __ )^2 = __

Answers

Answer:

the quadratic equation cannot be written as the square of a binomial

Step-by-step explanation:

Given the expression

x^2 + 8x - 3 = 0

On factorizing

x = -8±√8²-4(-3)/2

x = -8±√64+12/2

x = -8±√76/2

x = -8±8.7/2

Note that since the since the discriminant is not a prefect square, the quadratic equation cannot be written as the square of a binomial

if your heat beats 75times per minute how many time does it beat in 5 hours​

Answers

Answer:

This is your answer . IfI'm right so,

Please mark me as brainliest. thanks!!!

Barak spent $20 at the mall. This represents 16% of the money he earned working at the pizza parlor last week. How much money did Barak earn at the pizza parlor last week?

Answers

Answer: Amount of Money Barak  earned last week =$125

Step-by-step explanation:

Amount of money Barak spent= $20

Amount of money spent = 16% of Money earned (X)can be represented as

16%  x  X =20

0.16 x X  =20

X = Money earned last week = 20/ 0.16= $125

Help im confused like alot

Answers

Answer: 5/2x-7-3/4x=3/4x+14-3/4x

7/4x-7=14

7/4x-7+7=14+7

7/4x=21

(4/7)*(7/4x)=(4/7)*(21)

x=12

Step-by-step explanation:

Yeh so simpliy it. I you do something to one side, do it to the other.

(5/2)x - 7 = (3/4)x + 14

first get rid of the smallest value of x which is 3/4.

We need to change the denominate for this

(10/4)x -(3/4)x -7 = (3/4)x - (3/4)x +14

which becomes

(7/4)x - 7 = 14

then get rid of -7 by adding on both side

= (7/4)x  = 21

=  x = 12

ASK IF YOU NEED MORE HELP! ALGEBRA IS IMPORTANT!

A, B & C form a triangle where ∠ BAC = 90°. AB = 6 mm and CA = 7.3 mm. Find the length of BC, giving your answer rounded to 1 DP.

Answers

Answer:

BC ≈ 9.5 mm

Step-by-step explanation:

Since, ΔBAC is a right angle triangle,

By applying Pythagoras theorem in the given right triangle,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

BC² = AB² + AC²

BC² = 6² + (7.3)²

BC = [tex]\sqrt{89.29}[/tex]

BC =

BC = 9.445

BC ≈ 9.5 mm

HELP PLEASE!!

Planes that fly at high speeds and low elevations have radar systems that can determine the range of an obstacle and the angle of elevation to the top of the obstacle. The radar of a plane flying at an altitude of 20,000 feet detects a tower that is 25,000 feet away, with an angle of elevation of 1∘.



a. How many feet must the plane rise to pass over the tower?

The plane must rise at least _____feet to pass over the tower.


Question 2
b. Planes cannot come closer than 1000 feet vertically to any object. At what altitude must the plane fly in order to pass over the tower?

The plane must fly at an altitude of at least ____ feet to pass over the tower.

Answers

Answer:

a. About 436 ft

b. 21,436 feet

Step-by-step explanation:

a. Notice how the plane's rise (h), its horizontal distance from the tower, and its distance to the top of the tower (25,000 ft) all form a right triangle. If we want to find h, we need some way of putting it in an equation with the two quantities we already know: the angle of elevation and the distance to the top.

In the language of right triangles, we want to combine an angle, the side opposite the angle, and the hypotenuse. The sine function is perfect for this, since [tex]\sin{\theta}=opp/hyp[/tex]. For our problem, opp = h, hyp = 25,000, and θ = 1°, so our equation becomes

[tex]\sin{1^\circ}=h/25000[/tex]

or equivalently

[tex]h=25000\sin{1^\circ}\approx436[/tex] ft (rounded up to the nearest whole foot)

b. If the plane is currently flying at 20,000 feet, it needs to rise about 436 feet to clear the top of the tower, and another 1,000 feet to follow safety protocol, making its required altitude 20,000 + 1,000 + 436 = 21,436 feet.

Start time: 6:30 PM
Elapsed time: 2 hours and 18 minutes
End time _______

What is the end time?

Answers

Answer:

I think this is right but could be wrong 8:18 pm so lmk ??

8.40pm

Step-by-step explanation:

6.30 changed to 24 hour format

the answer will be 1830+0218=2048

a watch is sold for $130 at a loss of $30. what was the original cost of the watch​

Answers

Answer:

130.00 + 30.00 = $160.00

Step-by-step explanation:

It takes Robert 5 minutes to complete 3 math problems. Use the equation y= x/3 times 5 to find how long it will take Robert to complete 12 math problems. x = math problems; y = minutes

Answers

Answer:

20 minutes

Step-by-step explanation:

y=(12/3)*5=20

Oatmeal is packaged in a right circular cylindrical container that has a radius of 1.5 inches and a height of 12 inches. What is the surface area of this container in terms of π?

Answers

Answer:

= 40.5π square inches

Step-by-step explanation:

Oatmeal is packaged in a right circular cylindrical container that has a radius of 1.5 inches and a height of 12 inches. What is the surface area of this container in terms of π?

The formula for the surface Area of a cylinder = 2πr( r + h)

r = 1.5 inches

h = 12 inches

Hence,

2 × π × 1.5( 1.5 + 12)

3π(13.5)

= 40.5π square inches

The surface area of the cylinder is

= 40.5π square inches

48÷-6-(-2)3
Calculate the following , showing all the steps​

Answers

Answer:

-2

Step-by-step explanation:

48 ÷ -6- (-2)3

= -8 - (-2)3

= -8 - (-6)

= -8 +6

= -2

1) -2*3 = -6
2) -6 - (-6) = 0
3) 48/0 = 0

Pls help I need this answer asap I got 10 min left :(

Answers

Answer:

Initial Value: 4

ROC: - 4/5

Step-by-step explanation:

I know you're short on time, if you want an explanation, let me know!

Answer:

Step-by-step explanation:

A leaky valve on the water meter overcharges Ahmed for one Liter of water for every 2 months. The overcharged amount w varies directly with time t . (a) Find the equation that models the variation . (b) Solve the equation to find the number of months it will take for Ahmed to be overcharged for 10 liters of water leaked. Show all your steps

Answers

Answer:

20 months

Step-by-step explanation:

A leaky valve on the water meter overcharges Ahmed for one Liter of water for every [tex]2[/tex] months. The overcharged amount [tex]w[/tex] varies directly with time [tex]t[/tex].

(a)

As the overcharged amount [tex]w[/tex] varies directly with time [tex]t[/tex],

[tex]w=kt[/tex]

Here, [tex]k[/tex] is a constant.

A leaky valve on the water meter overcharges Ahmed for one Liter of water for every [tex]2[/tex] months.

Put [tex]w=1\,,\,t=2[/tex]

[tex]1=2k\\k=\frac{1}{2}[/tex]

So,

[tex]w=\frac{t}{2}[/tex]

(b)

To find the number of months it will take for Ahmed to be overcharged for 10 liters of water leaked, put [tex]w=10[/tex] in [tex]w=\frac{t}{2}[/tex]

[tex]10=\frac{t}{2}\\\\t=10(2)\\[/tex]

[tex]t=20[/tex] months

Mrs. jack bought 150 T-shirt for $1920 from a factory calculate the cost of one Tshirt

Answers

Answer:

.07 if rounded then .08

Step-by-step explanation:

150 / 1920 = .078125

hope this helps...

Hey! The answer is $12.80 per shirt

To find the answer, we need to divide 1920 by 150

1920/150 = 12.8

Hope this helps!! :)

The ratio of girls to boys is 12 girls to 20 boys.
If there are 3 girls, how many boys are there?
There are
boys.
Next Question

Answers

Answer:

5

Step-by-step explanation:

ratio = 12:20

12/4 = 3

so we do

20/4 = 5

there are 5 boys

Another way, we can write it as a fraction

12/20 = 3/x

12x = 60

x = 5

Answer:

5 boys

Step-by-step explanation:

Write it like this:

3/X=12/20

Then, cross multiply.

3*20=60

X*12=12X

12X=60

Divide both sides by 12

60/12=5

X=5

The unknown number is 5

If there are 3 girls, then there are 5 boys.

Graph the solutions of the given system of linear inequalities.
y < 3x-2
y ≤ x + 1

Answers

Answer:

pls upload photo for your question

PLEASE HELP
show work for problem

Answers

Answer:

[tex]tan(x)-1 =30/45[/tex]

Step-by-step explanation:

put that in your calculater

Find the distance between the two numbers on a number line. Write your answer as a fraction in simplest form.

3/4,1/8

Answers

Answer:

From 3 to 4,1 is 1,9 and from 4,1 to 8 it is 4,9 I think. I am sorry if I'm wrong I haven't done this is a while?

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