Find the measure of the indicated angle x

Answer:

The expression for the number of bacteria after t hours is [tex]P(t) = 50e^{0.2922t}[/tex]

Step-by-step explanation:

When introduced into a nutrient broth, the culture grows at a rate proportional to its size.

This means that the size of the population, after t hours, is modeled by the following differential equation:

[tex]\frac{dP}{dt} = rP[/tex]

In which R is the growth rate.

The solution of this differential equation is:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population.

A culture of the bacterium Salmonella enteritidis initially contains 50 cells.

This means that [tex]P(0) = 50[/tex], and so:

[tex]P(t) = P(0)e^{rt}[/tex]

[tex]P(t) = 50e^{rt}[/tex]

After 1.5 hours, the population has increased to 775.

This means that [tex]P(1.5) = 775[/tex]. We use this to find r. So

[tex]P(t) = P(0)e^{rt}[/tex]

[tex]500e^{1.5r} = 775[/tex]

[tex]e^{1.5r} = \frac{775}{500}[/tex]

[tex]\ln{e^{1.5r}} = \ln{\frac{775}{500}}[/tex]

[tex]1.5r = \ln{\frac{775}{500}}[/tex]

[tex]r = \frac{\ln{\frac{775}{500}}}{1.5}[/tex]

[tex]r = 0.2922[/tex]

The expression is:

[tex]P(t) = 50e^{rt}[/tex]

[tex]P(t) = 50e^{0.2922t}[/tex]

The expression for the number of bacteria after t hours is [tex]P(t) = 50e^{0.2922t}[/tex]

Answer:

B

Step-by-step explanation:

I think

Answer: 54.4

Step-by-step explanation:

Answer: Pretty sure the answer is 3.

Step-by-step explanation:

[tex]\frac{2(4+7)-7}{5}[/tex]

[tex]\frac{2(11)-7}{5}[/tex]

[tex]\frac{22-7}{5}[/tex]

[tex]\frac{15}{5}[/tex]

Answer: i think it would be 20

Step-by-step explanation:

if you do the problem it should show you

Answer:

2 radical 5

Step-by-step explanation:

i am smart

Answer:

[tex]\sqrt{20} =2\sqrt{5}[/tex]

Step-by-step explanation:

Given:

[tex]\sqrt{20}[/tex]

Step 1: Factor out the biggest square number:

[tex]\sqrt{4}\sqrt{5}[/tex]

Step 2: Simplify:

[tex]2\sqrt{5}[/tex]

Therefore, [tex]\sqrt{20} =2\sqrt{5}[/tex]

9514 1404 393

Answer:

  A, B

Step-by-step explanation:

The equation is equivalent to ...

  cos(x -π/7) = -(√2)/2

  x -π/7 = arccos(-(√2)/2) = {3π/4, 5π/4} . . . . . cosine is negative in QII and QIII

  x = {3π/4 +π/7, 5π/4 +π/7} +2nπ . . . . . matches A and B

Answer:

solutions, x-intercepts, and zeroes

Step-by-step explanation:

Solutions are values that satisfy the equation. X-intercepts are values of x that the graph of the equation passes through the x-axis.

Zeroes are x values that are resulted from y=0

Answer:

B, C, F

Step-by-step explanation:

It's asking 5 x (what?) is less than 5.

It has to be less than one to be a correct answer then.

Answer:

(1,1) is the answer

Explanation:

Both lines cross at (1,1)

Answer:

ok its 768 thank me later

Step-by-step explanation:

Answer:

52 both

Step-by-step explanation:

4 is 128. flat surface is 180, 180-128= 52. 4 and 2 are equal, 1 and 3 too. So are 5=7 8=6

Answer:

16

Step-by-step explanation:

-2^4=16

[tex]h \: is \: correct \: answer \: \\ if \: you \: put \: (0 \: t4) \: and \: (1 \: 6)you \: can \: find \: the \: answer[/tex]

9514 1404 393

Answer:

  (x -4)(x +1)

Step-by-step explanation:

  [tex]\dfrac{x^2-16}{x^2+5x+4}=\dfrac{(x+4)(x-4)}{(x+4)(x+1)}=\boxed{\dfrac{x-4}{x+1}}\qquad x\ne-4[/tex]

The simplified form comes with a domain restriction corresponding to the hole in the function where the original denominator is zero.

Answer:

x =14

<A =  7x -11 =  87

<B = 2x-3 =  25

<C = 5x -2 = 68

Step-by-step explanation:

The sum of the angles add to 180

7x -11 + 2x-3 + 5x-2 = 180

Combine like terms

7x +2x+5x -11-3-2 =180

14x-16=180

Add 16 to each side

14x-16+16 =180+16

14x = 196

Divide each side by 14

14x/14 =196/14

x =14

<A =  7x -11 = 7*14 -11 = 98-11 = 87

<B = 2x-3 = 2*14 -3 = 28-3 = 25

<C = 5x -2 = 5*14 -2 = 70-2 = 68

Answer:

the expression b/c=b/c is an example of a/an

Answer:

43 3/4 cups of cheese

8 3/4 cups of olives

26 1/4 cups of sausage

Step-by-step explanation:

Answer:

43 3/4 cup of cheese

26 3/4 cups of olives

Answer:

12.7 is the answer

Answer: 12.7

Step-by-step explanation:

If you like to round 12.654 to the nearest tenth, leaving only one number after the decimal point, then you have come to the right post

Answer:

18.333333 hours

Step-by-step explanation:

1099.99998 mintunes

Answer:

D. 96 inches.

Step-by-step explanation:

Radius of cylinder = 1/2 * 24 = 12 inches.

Radius of the cone = 1/2 * 12 = 6 inches.

Volume of the cylinder = pi r^2 h and volume of the cone = 1/3 pi r^2 h

So pi 12^2 * 8 = 1/3 pi * 6^2 * h

1152 pi = 12 pi h

h = 1152/12

h = 96 inches.

Answer:

Data processing is a process of converting raw facts or data into a meaningful information. Data can be done manually using a pen and paper, mechanically using simple devices eg. typewritter or electronically using modern dat processing toolseg computers.

Step-by-step explanation:

9514 1404 393

Answer:

  D.  y= 2x + 10

Step-by-step explanation:

Try x=3 in the equations and see which one works.

  A: 2·3 -10 = -6 ≠ 16

  B: 1/2(3) +10 = 11.5 ≠ 16

  C: 1/2(3) -10 = -8.5 ≠ 16

  D: 2(3) +10 = 16 . . . . . . this equation works

Answer:

A, C, D

Step-by-step explanation:

A, C, D

Answer:

67, 600

Step-by-step explanation:

There are 26 alphabet and 10 digits then the number of the possible ID codes will be 67600.

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

A company is making aid badges with personal ID codes on them for each employee.

The ID code will consist of two letters followed by 2 digits.

Then the number of ways ID codes are there will be

[tex]\rightarrow 26 \times 26\times 10\times 10\\\\\rightarrow 67600[/tex]

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255