Plz helper I been ask this question about 3 times

Answer:

greater by about 50 bacteria

hope this helps,

T

Step-by-step explanation:

Populations can be modeled by exponential functions and logarithm functions.

Kirk's graph is an exponential function, and it is represented as:

[tex]\mathbf{y = ab^x}[/tex]

From the graph (see attachment);

x = 0, when y =10.

So, we have:

[tex]\mathbf{10 = ab^0}[/tex]

[tex]\mathbf{10 = a\times 1}[/tex]

[tex]\mathbf{10 = a}[/tex]

Rewrite as:

[tex]\mathbf{a = 10 }[/tex]

Substitute [tex]\mathbf{a = 10 }[/tex] in [tex]\mathbf{y = ab^x}[/tex]

So, we have:

[tex]\mathbf{y = 10(b)^x}[/tex]

x = 20, when y =20.

[tex]\mathbf{20 = 10(b)^{20}}[/tex]

Divide both sides by 10

[tex]\mathbf{2 = b^{20}}[/tex]

Take 20th root of both sides

[tex]\mathbf{b = 2^{\frac{1}{20}}}[/tex]

Substitute [tex]\mathbf{b = 2^{\frac{1}{20}}}[/tex] in [tex]\mathbf{y = 10(b)^x}[/tex]

[tex]\mathbf{y = 10(2^{\frac{1}{20}})^x}[/tex]

[tex]\mathbf{y = (10)2^{\frac{x}{20}}}[/tex]

Represent as function

[tex]\mathbf{f(x) = (10)2^{\frac{x}{20}}}[/tex]

So, Kirk's function is: [tex]\mathbf{f(x) = (10)2^{\frac{x}{20}}}[/tex]

When x = 60, we have:

[tex]\mathbf{f(60) = (10)2^{\frac{60}{20}}}[/tex]

[tex]\mathbf{f(60) = (10)2^3}[/tex]

[tex]\mathbf{f(60) = (10)8}[/tex]

[tex]\mathbf{f(60) = 80}[/tex] ---- Kirk's model

For Jana's model, we have:

[tex]\mathbf{y = 12log(x + 1) + 10}[/tex]

Substitute 60 for x

[tex]\mathbf{y = 12log(60 + 1) + 10}[/tex]

[tex]\mathbf{y = 12log(61) + 10}[/tex]

Using a calculator, we have:

[tex]\mathbf{y \approx 31}[/tex] --- Jana's model

Calculate the difference between both models

[tex]\mathbf{d = 80 - 31}[/tex]

[tex]\mathbf{d = 49}[/tex]

Approximate

[tex]\mathbf{d \approx 50}[/tex]

Hence, Kirk’s model predict the population will be greater than about 50 bacteria after 60 minutes than Jana’s model

Read more about population models at:

https://brainly.com/question/8993571

Answer:

For example, the phrase "3 more than an unknown number" becomes the mathematical expression "x + 3." Because the unknown number has no explicitly stated value, we label it with a variable x. To get a value three more than x, simply add 3 to it.

hope it helps ya mate. ~^~

Answer:

3 + x

Step-by-step explanation:

"More than" means addition. 3 more than x is saying 3 plus x. In an algebraic expression, this would look like:

3 + x

Answer:

C

Step-by-step explanation:

i am smart

Answer:  -3? i think..

Step-by-step explanation:

Answer:

y = (x-4)²

Step-by-step explanation:

vertex (h , k)

h = 4   .... axis of symmetry

k = (6 + -6) / 2 = 0  .... midpoint of focus and directrix

equation of parabola: y = (x-4)²       y = (x-h)² + k

Answer:

I hoped this helped.

Step-by-step explanation:

1. fined base shaped like rectangles and squares

2. find the area of those shaped using length times width

3. the the areas to find the area of the composite figure

Answer:

9ft is hiii

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1/2 is equal to 2/4 so 1/2 is greater than 1/4

Answer:

C

Step-by-step explanation:

A)

[tex]\frac{1}{2} = \frac{4}{8}[/tex]

[tex]\frac{4}{8} < \frac{1}{8}\ is\ wrong!\ Therefore\ A\ is\ wrong[/tex]

B)

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

[tex]\frac{1}{2} = \frac{4}{2}\ is\ wrong!\ Therefore\ B\ is\ wrong[/tex]

C)

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

[tex]\frac{2}{4} > \frac{1}{4}\ is\ correct!\ Therefore\ C\ is\ correct[/tex]

D)

[tex]\frac{1}{2} = \frac{2}{6}[/tex]

[tex]\frac{2}{6} < \frac{1}{6}\ is\ wrong!\ Therefore\ D\ is\ wrong[/tex]

Answer:

B. (f-g)(x)=4^x-1-2x+11

(f-g)(x) = (4^x-1+6) - (2x-5)

apply like terms while retaining order of operations

6 - (-5) = 11

4^x - 1 - 2x + 11

Step-by-step explanation:

Answer:

f(g(x)) = 2x + 1

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x))

= f(2x)

= 2x + 1

Answer:

[tex] {(x - y)}^{2} = (x - y)(x - y) \\ = ( {x}^{2} - xy - xy + {y}^{2} ) \\ = ( {x}^{2} - 2xy + {y}^{2} )[/tex]

Answer:

uhm 0 degrees

Step-by-step explanation:

The value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.

Simply put, inverse trigonometric operations are the opposites of the fundamental trigonometric parameters sine, cosine, secant, cosecant, tangent, and cotangent.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The inverse trigonometric expression is given below.

⇒ sin⁻¹(sin 17°)

We know that the value of sin⁻¹(sin θ) is θ.

Then the value of the inverse trigonometric expression will be

⇒ sin⁻¹(sin 17°)

⇒ 17°

Thus, the value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.

More about the inverse trigonometry link is given below.

https://brainly.com/question/20595059

#SPJ2

Answer:

6x+2

-2x+1

=

4x+1

just find the area of each and subtract the non-shaded one from the shades area.

Answer:

31.6% decrease

Step-by-step explanation:

percent of change = difference between original and new values divided by the original value

n = % change

n = 0.72/2.28

n = .3157

n = 31.6%

Answer:

3.5 feet = 3 feet 6 inches

3 * 12 = 36

36 + 6 = 42 inches long

42 / 5/8 → 42 * 8/5 = 42*8/5

336 / 5 = 67.2

We can't put up part of a book, so we can fit 67 books.

Step-by-step explanation:

Answer for first question:

tangent of P= 4/3

cosine of P= 3/5

sine of P= 4/5

Explanation:

tangent = opposite/ adjacent

cosine = adjacent/ hypotenuse

sine = opposite/ hypotenuse

2nd question: x=12

Explanation: When you have a 45-45-90 degree angle the hypotenuse will always be twice the base of the triangle and the longer leg will always be √2 times the base. Here you have the measurement of one of the longer sides- 6√2. Because we have this measurement, we know the base is going to be 6 and the hypotenuse, x, will be 12.

3rd question: cos y

Explanation: Let's give the triangle some measurements to make this easier.

The hypotenuse= 5.

The adjacent side of x= 3.

The opposite side of x= 4.

sine= opposite/ hypotenuse = sin x = 4/5

cosine= adjacent/ hypotenuse = cos x = 3/5

As you see, 3/5 and 4/5 are not equal, but when you try cos y and sin x. You will find that they are equal.

Answer:

3/136

Step-by-step explanation:

128 + 3 + 5 = 136

= 3/136 (simplest form)

Answer:

36/2=18

18/2=9

9/3=3

3/3=1

List out the factors used: 2, 2, 3 & 3.

Pick one out of pairs of factors available: 2 & 3.

Multiply them: 2×3 = 6

6 is the square root of 36.

Step-by-step explanation:

hope it helps

please mark brainliest

Answer:

-3.8=n

Step-by-step explanation:

My goal is to get n all by itself, but its multiplied by 6. If I do the inverse operation (which is division) on both sides I will get -22.8/6=n. Now I can just simply combine the like terms and finalize my answer. 6 * 3=18 but -22.8 is a decimal number so my answer will range from around 3.5-3.9. if I divide -22.8/6 I get -3.8. My final answer is n=-3.8

Answer: 18/91 or ≈ 0.2

Step-by-step explanation:

Bag one: 4 red + 3 blue = 7 total

Bag two: 7 green + 6 yellow = 13 total

probability of picking blue from first bag: 3/7

probability of picking yellow from second bag: 6/13

3/7*6/13 = 18/91 or about 0.2 chance

Answer:18.75

Step-by-step explanation:

Answer:  Choice C

Point D is 8 units to the left of point G

=================================================

Explanation:

Refer to the diagram below. I've graphed both points on the same xy grid. We can draw a horizontal line through points D and G to form a number line of sorts. Count the number of spaces along this number line to go from G to D. You should count 8 spaces to the left.

Effectively, this is the same as drawing a number line and plotting -10 and -2 on this number line. We only worry about the x coordinates of the two points since the y coordinates are the same (both are y = -3). Note how -10 is eight units to the left of -2 on the number line.

Step-by-step explanation:

[tex] {x}^{2} - 2x = - 2 \\ {x}^{2} - 2x + 2 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - ( - 2)± \sqrt{ {( - 2)}^{2} - (4 \times 1 \times 2)} }{2 \times 1} \\ x = \frac{2± \sqrt{ - 4} }{2} \\ x = \frac{2±2i}{2} \\ x = \frac{2 + 2i}{2} \: or \: \frac{2 - 2i}{2} \\ x = 1 + i \: \: or \: \: 1 - i \\ x = 1±i[/tex]

Answer:

2,1  4,2  6,3  8,4  10,5  12,6  14,7  16,8  18,9  20,10  etc.

Step-by-step explanation: