A culture of bacteria has an initial population of 72000 bacteria and doubles every 10
hours. Using the formula P = Po - 2 å, where P is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 17 hours, to the nearest whole number?

Answer:

1) x = 50 m

2) Max area = 22500 m²

3) Max area of each pen = 1500 m²

4) y = 150 m

5) dimensions of pen are 50m and 30m

6) Graph is attached

Step-by-step explanation:

Area of a rectangle is length × width

Let length be y and let width be x

Thus;

A = xy

Fencing material is 600m

Thus,perimeter = 600

Perimeter is; P = 6(length) + 2(width)

Thus;

600 = 6x + 2y

y = (600 - 6x)/2

y = 300 - 3x

Thus,

A = x(300 - 3x)

A = -3x² + 300x

We can see that the coefficient of x² is negative. This means that the parabola will open downward and has a maximum value at the vertex.

The vertex formula is;

x = -b/2a

a = -3

b = 300

Thus;

x = -300/(2 × -3)

x = 50 m

Since y = 300 - 3x, then;

y = 300 - 3(50)

y = 150 m

Maximum area of entire garden = xy = 50 × 150 = 7500 m²

There are 5 pens, thus;

Max area of each pen = max area of entire garden/5 = 7500/5

Max area of each pen = 1500 m²

Dimensions of each pen will be;

x and y/5

>> x = 50 m and y/5 = 150/5 = 30m

Answer:

x = 15

Step-by-step explanation:

[tex]x^{2} + 20^{2} =25^{2}[/tex]

[tex]x^{2} +400=625[/tex]

[tex]x^{2} =225\\[/tex]

[tex]\sqrt{x[/tex]

=x

[tex]\sqrt{225}[/tex]

= 15

[tex]x=15[/tex]

Answer:

it's a translation

Step-by-step explanation:

it just moved (3,0). If it were a rotation the y-axis wouldn't be the same. If it were a reflection you would be able to flip the blue triangle onto the red triangle.

Answer:

a = -4

Step-by-step explanation:

a + c = 6

substitute 10 for 'c'

a + 10 = 6

a = -4

Answer:

a has to be a negative since c is equal to 10 so a is -4 because -4 + 10= 6

Step-by-step explanation:

hope this helps.

Answer:

00

Step-by-step explanation:

Answer:

O1=150

O3 =15O

O2 = 30

16 = 120

x = 60

14 = 60

15 = 60

12 = 60

9 = 120

10=120

1= 130

2=50

3= 130

4=50

6=50

7=50

8= 130

5= 130

Step-by-step explanation:

O1 + 30 = 180

01 = 180 - 30

O1 = 150

O3 = O1 = 150 VERTICAL OPPOSITE ANGLES

02=30 VERTICAL OPPOSITE ANGLES

Answer:

Please should we solve the equation or the angle?

Answer:

x is greater than or equal to 5

Step-by-step explanation:

Hope this helps! :))

Have a nice day<3

9514 1404 393

Answer:

  150°

Step-by-step explanation:

The rule here is that the external angle is half the difference of the arcs subtended. That relation is used to form an equation, which can then be solved for whatever measure is of interest.

  (RB -EC)/2 = D

  ((13x +7) -(60))/2 = (5x -10)

  13x -53 = 10x -20 . . . . . . . . . . multiply by 2

  3x = 33 . . . . . . . . . . . . . . add 53-10x to both sides

  x = 11 . . . . . . . . . . . . divide by 3

  RB = 13x +7 = 13·11 +7 = 150

The measure of arc RB is 150°.

Answer:

The last one

Step-by-step explanation:

Answer:

kg

Step-by-step explanation:

1pound is 0.45kg

Answer:

Both pound and kilogram are units of measurement of weight or mass. A pound is an imperial unit of mass or weight. ... A kilogram (kg) is stated to be 2.2 times heavier than a pound (represented as lbs). Thus, one kilo of mass is equal to 2.26lbs. Step-by-step explanation:

Step-by-step explanation:

A(-5,1) and B(0,4)

[tex]m \: = \: \frac{y2 - y1}{x2 - x1} [/tex]

X1=0 , Y1=4 X2= -5 , Y2=1

[tex]m \: = \: \frac{3 }{5} [/tex]

[tex]y - y1 = m(x - x1)[/tex]

y - 4 = ⅗(x-0) ==> y - 4 = ⅗ X ==> y = ⅗ X + 4

C is the answer

The value of x from the similar triangles is x = 9 and the length of CE of the triangle ACE is CE = 35

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as ΔACE

Let the second triangle be represented as ΔBDC

The measure of side AB = 6

The measure of side BC = x - 5

The measure of side AC = x + 1

The measure of side CD = 14

The measure of side DE = 2x + 3

The measure of side CE = 2x + 17

Now , ΔACE and ΔBDC are similar

So , the corresponding sides of similar triangles are in the same ratio

Substituting the values in the equation , we get

AC / CE = BD / CD

( x + 1 ) / ( 2x + 17 ) = ( x - 5 ) / 14

On simplifying the equation , we get

14x + 14 = 2x² - 10x + 17x - 85

Subtracting 14x + 14 on both sides of the equation , we get

2x² - 7x - 99 = 0

On factorizing the equation , we get

x = 9 or x = -11/2

Substituting the value of x in the equation , we get

The length of line segment CE = 2x + 17

The length of line segment CE = 2 ( 9 ) + 17

The length of line segment CE = 35

Hence , the length of CE is 35

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ2

Answer:

C

Step-by-step explanation:

Answer:

3/18

Step-by-step explanation:

Out of the 18 kids, three of them did, so 3/18, which can be simplified to 16.6666%, so 17% if you round it to the nearest degree.

Answer:

1/4

Step-by-step explanation:

its literally 1/4

Answer:

Required equations are:

Solving the first, we get:

Solving the second we get:

Answer:m

Step-by-step explanation:

n

Answer:

400

Step-by-step explanation:

12000 X 60%=7200-parents

12000-7200=4800-owen

4800/12=400 is what owen will save monthly

Answer:

D.4 3/4

Step-by-step explanation:

hope it helps you

Answer:

Always the product of any number and zero will be zero.

Step-by-step explanation:

Answer: Always the product of any number and zero will be zero.

HOPE THIS ANSWER HELPS YOU....

Answer: since there is no table shown you can’t really tell but the closest would be the number that shows up the most amount of time but you would have to take into consideration of the increase of the number

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

3(5^2) = 3(25) = 75

Answer:

37

Step-by-step explanation:

10x40 = 400

2(39+42)+ 40 x 4 + 41 + X = 400

162 + 160 + 41 = 400 - X

400 - 363 = X

X= 37

Answer:i dont know sr

Step-by-step explanation:

Answer:

21.c

22.b

23.c

Step-by-step explanation:

Answer:

No real solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

6x2+3x+24=0

For this equation: a=6, b=3, c=24

6x2+3x+24=0

Step 1: Use quadratic formula with a=6, b=3, c=24.

x= (−b±√b2−4ac) /2a

x=( −(3)±√(3)2−4(6)(24))/ 2(6)

x= (−3±√−567) /12

Answer:

option (C) W + 180° is right answer

Solve the equation replacing x with 2 and the 6:

-2^2 + 2(2) + 2 = 4 + 4 + 2 =10

-6^2 + 2(6) + 2 = 36 + 12 + 2 = 50

Difference between the answers: 50-10 = 40

Difference between 2 and 6 = 6-2 = 4

Average rate of change = 40/4 = 10

The answer is 10