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Complete Question

After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the dish decreases rapidly. The number of bacteria decays by a factor of 1/15, every 6.76minutes, and can be modeled by a function, N, which depends on the amount of time, t (in minutes). Before the medicine was introduced, there were 90,000 bacteria in the Petri dish. Write a function that models the number of bacteria t minutes since the medicine was introduced.

Answer:

Nt = 90,000 × e^t/15

Step-by-step explanation:

The function that models the number of bacteria t minutes since the medicine was introduced is written as

Nt = No×e^λt

Where:

No = The initial number of the bacteria after time t

Nt = The current number of the bacteria after time t

λ = Decay constant or factor

t = Time in years

From the question,

No = 90,000 bacteria

Nt = The current number of the bacteria after time t

λ = 1/15

t = Time in years

Therefore, our function is written as:

Nt = 90,000×e^1/15 × t

Nt = 90,000 × e^t/15

Answer:

90,000*(1/15)^t/6.7

Step-by-step explanation:

Khan told me it's correct.

Answer:

2/8 of the fifth graders are not in band

Step-by-step explanation:

To find how many fifth graders are not in band, subtract the # of fifth graders in band. Your difference is the amount of fifth graders that are not in band. To check your answer add 2/8 + 6/8 which should be equal to 8/8 or a whole ( 1 ).

Answer: In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.

Vertical angles prove that Angle 3 is congruent to angle 6.

The triangles are similar because alternate interior angles are congruent.

Step-by-step explanation:

Answer:

the answer is A. y=2sin(1/2x)+1

Step-by-step explanation:

I input all four functions on desmos (a graphing calculator), and saw that A. y=2sin(1/2x)+1 was similar to the function shown in the graph

The function that matches the graph is y= 2 sin(1/2x) +1.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

let y = A sin ([tex]\omega[/tex]x + Ф)+  k

T= 4π, w= 2π/T = 1/2

Now, midline= 1/2( max + min)

=1/2(3-1)= 2/2

k=1

and, A= 3-1 = 2

So, y= 2 sin(1/2x  + Ф) +1

as, Ф=0

So, y= 2 sin(1/2x) +1

Learn more about graph here:

https://brainly.com/question/16608196

#SPJ5

Answer:

25%

Step-by-step explanation:

The 5 values of the given box plot are;

The minimum value = 20

The first quartile, the 25th percentile point, Q₁ = 25

The median or second quartile, the 50th percentile point, Q₂ = 30

The third quartile, the 75th percentile point, Q₃ = 40

The maximum value = 55

The range = The maximum value - The minimum value

∴ The range = 55 - 20 = 35

We note that Nicholas earned $25 or less from the minimum value up to first quartile, Q₁, which is the 25th percentile point, where we have 25 percent of the data points

Therefore, the percent of the time Nicholas earned $25 or less is 25 percent of the time.

Answer:

the exact answer is 314.159265359

Step-by-step explanation:

but it simplifies to 314.16

9514 1404 393

Answer:

  A. d = ∑[k=1,n] (4.5+0.5k)

  B. 9

Step-by-step explanation:

A) The series has first term 5 and common difference 0.5. The general term is given by ...

  an = a1 +d(n -1)

  an = 5 + 0.5(n -1) . . . . substitute numbers for this series

  an = 4.5 +0.5n . . . . . . simplify

The sum is the sum of these terms:

  [tex]\displaystyle \boxed{d_n=\sum_{k=1}^n(4.5+0.5k)}[/tex]

__

B) The sum of terms of an arithmetic series is the average of the first and last, multiplied by the number of terms. We want to solve for n to make the sum greater than 60.

  [tex]\displaystyle d_n=\frac{n}{2}(5 +4.5 +0.5n)\\\\\dfrac{n}{2}(9.5+0.5n)>60\\\\n(19+n)>240\qquad\text{multiply by 4}\\\\n^2+19n+9.5^2>240+9.5^2\qquad\text{complete the square}\\\\n+9.5>\sqrt{330.25}\qquad\text{square root}\\\\n>18.17-9.5=8.67\qquad\text{positive root, subtract 9.5}[/tex]

Melissa's total distance will first exceed 60 miles the 9th time she trains.

Answer:

 A. d = ∑[k=1,n] (4.5+0.5k)

 B. 9

Step-by-step explanation:

A) The series has first term 5 and common difference 0.5. The general term is given by ...

 an = a1 +d(n -1)

 an = 5 + 0.5(n -1) . . . . substitute numbers for this series

 an = 4.5 +0.5n . . . . . . simplify

Answer:

Step-by-step explanation:

First find the area of total rectangle which equals 20 * 12 = 240

Second find the area of triangle which equals 0.5 * 4 * 6 = 12

The required area = total rectangle - triangle = 240 - 12 = 228

Answer:

NEEEEEGARRRRR

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

the formula for a triangle is b (base) x h (height), then ÷2. there are two tringles together to make this shape, their bases are 10 (5+5) and their heights are 7. so if you do the math for the 2 triangles then add them together you get the area for the entire shape.

Answer:

180 squared ft

Step-by-step explanation

80% = 80/100 = 40/50  =    4/5

L = 15

W= 4/5 of 15 = 12

Area = LxW

Area = 15x12 = 180 squared ft

Answer:

[tex]2x^2+x+7y[/tex]

Step-by-step explanation:

We are given the equation [tex]2(x^2+3y)+x+y[/tex] and are asked to simplify it.

To do so, we need to first get rid of the parenthesis, since x² and 3y aren't like terms, it isn't solvable unless we try another way, which is the distributive property.

2 is next to the parenthesis, in the distributive property, we would multiply the number outside of the parenthesis with all the numbers inside the parenthesis. Therefore :

[tex](2*x^2) + (2*3y) + x +y[/tex]

[tex]2x^2 +6y+x+y[/tex]

Now that we have like terms, we can add them together :

[tex]2x^2 + 6y+x+y[/tex]

[tex]2x^2 + x+7y[/tex]

Answer:

Hello! Your answer would be, 2[tex]x^{2}[/tex] + [tex]x[/tex] [tex]7y[/tex]

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Amelia

Answer:

$297

Step-by-step explanation:

Given data

Percent profit=10%

sales price= $330

% profit= (sales price-cost price)/sales price* 100

let the cost price be x

Substitute

10= (330-x)/330* 100

cross multiply

10= (33000-100x)/330

10*330= 33000-100x

3300=33000-100x

3300-33000=-100x

-29700=-100x

29700=100x

x=29700/100

x=297

Hence the cost price is

cost price=$297

Answer:

So first we have to figure out what $1200 per month for 12 months is since it was a year. 1200x12=14,400 a year which is outrageous for an apartment just saying.

Then we find out what 12% of the 1200 is and then add it to 1200.

To find the percentage of that we need to know how many times 12 fits into 100% 12 fits into 100 a total of 8.33333333333 times.

So now we divide 1200 by 8.33333333333 to see what 12% of it is.

1200 divided by 8.33333333333 is 144. So 1200+144=1344.

Now since one of the nine years has passed already we only have 8 remaining.

Now we see what 1344 a month for 12 months is 16,128 a year.

Now we multiply 16,128 by 8 to get the outcome of 8 more years. So 16,128x8=129,024

Thats it pls mark brainliest

Step-by-step explanation:

Answer:

Razones trigonométricas inversas: cosecante, secante y cotangente. ... Dado un triángulo rectángulo, definimos la cosecante, la secante y cotangente de un ángulo como las razones inversas del seno, coseno y tangente, respectivamente.

Step-by-step explanation:

espero y te ayude

Answer:

164 cubic units

Step-by-step explanation:

volume of a sphere = (4/3) x (n) x (r^3)

If volume = 4r^3

volume = 4 x (4)^3 = 164 cubic units

Answer:

y = 8x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 8 and c = 5

y = 8x + 5 ← equation of line

Answer:

x = 14

Step-by-step explanation:

Here's your solution

=> 8x - 22 = 230 - 10x

=> 8x + 10x = 230 + 22

=> 18x = 252

=> x = 252/18

=> x = 14

hope it helps. 【●●】

Answer:

yur

Step-by-step explanation:

Answer:

yeah it's a decimal so yes

Answer:

.20

Step-by-step explanation:

The word percent literally means "Out of 100". With that being said, 20% can be written as a fraction, mixed number or whole number as follows: 1/5 (fraction), 20/100 (mixed number) or .20 (whole number).

Answer:

1329 students

Step-by-step explanation:

20/100 ×6645

Reduce the fraction 20/100 with 20

So..20 goes into 20 1 time and 20 into 100 5 times

1/5×6645

Use 5 as the greatest common factor now

so...5 into 5 goes 1 time and 5 into 6645 goes 1329

1/1 × 1329 = 1329

Or... you could just convert 20% into a decimal by carring the . two places to the left

which is 0.2

0.2 × 6645 = 1329

Answer: A- 12.5 million

Step-by-step explanation: all you have to do is 125% of 10 million and you get 12.5 million.

Answer:

40 million

Step-by-step explanation:

125% of x

125/100 * x = 1.25x

x+ 10 = 1.25x

(subtract x from both sides)

10 = 1.25x - x

10 = 0.25x

(divide both sides by 0.25)

10/0.25 = x

x= 40

Answer:

s = 24.05

Step-by-step explanation:

Given

v² = u² + 2gs ← substitute v = 25, u = 12, g = 10

25² = 12² + (2 × 10 × s)

625 = 144 + 20s ( subtract 144 from both sides )

481 = 20s ( divide both sides by 20 )

24.05 = s

Answer:

c=74

Step-by-step explanation:

48+58=106

180-106=74

Answer:

D is 122         A is 58          B is 48       C is 74

Step-by-step explanation:

Answer:u can estimate 246 to 200 and u can estimate 328 to 300

Step-by-step explanation:

add 34

Answer:

b

Step-by-step explanation:

because i said so and because i am tired and tired and tired

Answer:

[tex] - 2 \sqrt{2} [/tex]

Step-by-step explanation:

Subtract 5√2 from 3√2.

[tex] - 2 \sqrt{2} [/tex]

Hence, the answer is Option A. in decimal form the answer will be −2.82842712.

Answer:

C≈37.7in

Step-by-step explanation:

Answer:

Hello!

Area: 113.04

Circumference: 37.68

Hope this helps