The population of bacteria can be modeled by the function below, where t represents the time since the population started decaying and f(t) represents the population of the remining bacteria at time t. What is the rate of decay for this population?

Answer:

11

Step-by-step explanation:

the 3 numbers are 9, 10, 11

Answer:

Third number = 11

Step-by-step explanation:

Let 3 consecutive numbers be x ,x +1 , x +2

x +x+1  + x+ 2 = 30

x +x +x + 1 + 2 = 30       {Combine like terms}

     3x + 3 = 30      {Subtract 3 from both sides}

          3x   = 30 - 3

          3x = 27    {Divide both sides by 3}

            x = 27/3

x = 9

Third number =x + 2 = 9 + 2 = 11

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Surface Areas and Volumes.

We know that , Volume of the cylinder = πr^2h

here, r = 5 units and h = 6 units,

hence we substitute it,

==> Volume = 3.14*(5)^2*(6)

==> Volume = 3.14*25*6

==> Volume = 471 units^3

Hence the volume of cylinder is 471 cubic units.

Answer:

x^2-16x+48

Step-by-step explanation:

Use foil,

x^2-12x-4x+48

x^2-16x+48

no puedo ver el problema

Answer:

Z = 13

Step-by-step explanation:

Both of the angles should equal 90.

2z + 5 + 5z - 6 = 7z - 1

7z - 1 = 90

7z - 1 + 1 = 90 + 1

7z = 91

7z ÷ 7 = 91 ÷ 7

Z = 13

Hope that helped you and have a wonderful day!

Answer:

x=-0.35 or x=2.85

Step-by-step explanation:

2x^2-5x+1=3

2x^2-5x-2=0

use quadratic formula

x=(5±√41)/4

decimals = x=-0.35 or x=2.85

Answer:

option D

Step-by-step explanation:

I took the test

Answer:

sin 2 ( x )  ⋅  sin 2 ( x )  cos 2 ( x )  →  sin 2  ( x )  tan  2 ( x )

Step-by-step explanation:

Assuming  tan  = 2 ( x ) − sin 2 ( x ) = tan 2 ( x ) sin 2 ( x ) ,

tart off by rewriting  tan 2 ( x )  in to its  sin ( x ) and cos ( x )  components.

 sin 2 ( x ) cos 2 ( x ) − sin 2 ( x )  

Next find a common denominator

(LCD:

cos 2 ( x )⋅ 1 ) sin 2( x )  cos 2 ( x )  ⋅  ( 1 1 )  −  sin 2 ( x )  ⋅ cos 2 ( x )  cos 2 ( x )  →  sin 2 ( x )  cos 2 ( x )  −   sin 2 ( x ) cos 2 ( x )  cos 2 ( x )  

Combine in to a single fraction and factor out a

 sin 2  ( x)  .   sin 2 ( x )  −  sin 2 ( x )  cos 2 ( x ) cos 2 ( x ) →  sin 2 ( x)  ⋅  sin 2 ( x ) cos 2 ( x )

Finally just rewrite  sin 2 ( x )  ⋅  sin 2 ( x )  cos 2 ( x )  →  sin 2  ( x )  tan  2 ( x )

Answer:

add 4 to both sides

Step-by-step explanation:

a-4+4=10+4

a=14

Answer:

c-270

Step-by-step explanation:

To rotate counterclockwise on a coordinate graph, 90 degrees would put you in quadrant I, so you continue 90 degree rotations until you get to quadrant III.

Hope this helps :)

Answer:

53 degrees

Step-by-step explanation:

If r is 25 and s is 102, and if there are 180 degrees in a triangle, then you can just add to get 53.

Answer:

53

Step-by-step explanation:

Hello There!

So in this problem they give us two angles of a triangle and want us to find the missing angle

Remember the sum of all of the angles in a triangle is 180

So to find the missing angle we subtract the given angles from 180

180-25-102=53

so we can conclude that the answer is 53

Answer:

Step-by-step explanation:

hello :

14x=12

x=12/14

x=6/7

Answer:

28.57142857 %

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by  100 .

28.57142857 %

Answer:

[tex]28.571429\%[/tex]

Step-by-step explanation:

1) To convert the fraction to a decimal, divide the numerator by the denominator.

[tex]2 \div 7[/tex]

2) Use long division.

[tex]0.285714[/tex]

3) To convert to a percent, multiply the decimal by 100.

[tex]0.285714 \times 100 = 28 .571429[/tex]

4) Add the percent sing.

[tex]28.571429\%[/tex]

Therefor, the answer is 28.571429%.

Answer:

254 cm² (to 3 s.f.)

Step-by-step explanation:

Area of shaded region

= area of large circle -area of smaller circle

[tex]\boxed{area \: of \: circle = \pi {r}^{2} }[/tex]

Radius of large circle= 15cm

Radius of smaller circle= 12cm

Area of shaded region

= π(15²) -π(12²)

= 225π -144π

= 81π

= 81(3.14)

= 254.34

= 254 cm² (3 s.f.)

Answer:

Here we can see that two lines are intersecting so that the angles formed will be vertically opposite angles,

Thus, the value of both angles will be equal

i.e., x+3 = 84

⇒ x = 84 - 3

⇒ x = 81

Thus the value of x is 81

Answer:

The excluded value is x = 5/6

Step-by-step explanation:

Here, we want to calculate the excluded value

The excluded value is simply the value of x that will make the denominator of the fraction equals zero

We have this as;

6x -5 = 0

6x = 5

x = 5/6

Answer:

6 units

Step-by-step explanation:

A translation is a rigid body motion, meaning that it is a type of transformation that doesn't change the length of any sides, or it is the same as the original image. Since A'C' corresponds to AC, it must be 6 units as AC is 6 units.

Answer: 6 units

Step-by-step explanation:

Answer:

it has to be b I don't know for sure tho

Answer:

A. So assuming we are dealing with displacement

20 + 16 = 32 m

B. 20 - 16 = 4m

C. 5 - 16 = - 11m

D. - 9 + 11 = 2m

E. - 9 - 11 = - 20m

Answer:

After one year Kenny will have $520.

Step-by-step explanation:

Answer:

$520

Step-by-step explanation:

500(0.04) = kenny's annual interest rate return= 20

500+20= total dollars kenny has in a year

Answer:

The correct answer is -3.9> -4.5

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

20           x

----    =    ----

25          30

Cross Multiply (20, 30 and 25, x)

25x = 600

Divide both sides by 25

x = 24

If 60 percent represents the 48 students , then the total number of student is 80

Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.

Represent the total number of students by x;

therefore, 60/100 × x = 48

= 60x/100 = 48

60x = 4800

divide both sides by 60

x = 4800/60

x= 80

therefore the total number of students in the math fair is 80

learn more about percentage from

https://brainly.com/question/24304697

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Answer:

Steps to find LCM

Find the prime factorization of 150

150 = 2 × 3 × 5 × 5

Find the prime factorization of 225

225 = 3 × 3 × 5 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 3 × 3 × 5 × 5

LCM = 450

HCF of 150 and 225 by Prime Factorization

HCF of 150 and 225 by Listing the Common Factors

Method 1: Find HCF of 150 and 225 by Prime Factorization

Represent 8 and 14 as a product of its prime factors.

Prime factorization of 150 is 2 × 3 × 5 × 5

Prime factorization of 225 is 3 × 3 × 5 × 5

The common factor in the prime factorization of 150 and 225 are 3, 5, and 5.

HCF is the product of the factors that are common to each of the given numbers.

So, HCF of 150 and 225 is 3 × 5 × 5 = 75

Method 2: Find HCF of 150 and 225 by Listing the Common Factors

The factors of 150 and 225 are shown below.

Step-by-step explanation:

Hope it is helpful.....

Answer:

it's going to be 3 and 6

Step-by-step explanation:

hope this one is right :)

Answer:

115miles

Step-by-step explanation:

Given the function of the distance remaining represented by the function

f(x) =250-45x where;

x is the time taken in hours

Since we are not told what to loom for, we can calculate the distance remaining after 3hrs.

Substitute x =3 into the equation

f(3) = 250-45(3)

f(3) = 250-135

f(3) = 115

Hence the distance remaining after 3 hrs is 115miles

Answer:

what do you need?

Step-by-step explanation:

is there like a photo or something?