A population of bacteria doubles every 15 hours. Initially, the population of bacteria is 40. What is this population of the bacteria after 40 hours?

Answer:

Two perpendicular segments are segment AB and segment CD

Step-by-step explanation:

The given construction with the straight edge and the compass gives;

1) A straight line CD

2) A line AE from the center of the circle A, to the line CD

3) The circles A and B constructed from the centers A and B respectively

Therefore

Whereby the points A and B are joint by the line AB, we have;

The line passing through the points C and D is the perpendicular bisector of line AB

Therefore, two perpendicular segments are segment AB and the perpendicular bisector of AB which is segment CD

Answer:

x = (c + 6b)/3

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

-b + 3x = c + 5b

Step 2: Solve for x

Answer:

subtract 1/2x from 2/3x

Step-by-step explanation:

Step-by-step explanation:

doing whole question

12+7=23⋅−6

12+7=23⋅−6

12+7=23⋅−6

2+7=23⋅−6

2+7=23−6

2+7=23−6

2+7=23−6

2+7−7=23−6−7

Subtract the numbers

2=23−13

2=23−13

2⋅3⋅2=2⋅3(23−13)

Cancel multiplied terms that are in the denominator

Multiply the numbers

Distribute

Combine multiplied terms into a single fraction

Multiply the numbers

Cancel terms that are in both the numerator and denominator

3=4−78

4

4x4x

 from both sides of the equation

3=4−78

3x=4x-783x=4x−78

3−4=4−78−4

Combine like terms

−=−78

−=−78

-x=-78−x=−78

−−1=−78−1

Cancel terms that are in both the numerator and denominator

Divide the numbers

=78

Answer:

6 10

Step-by-step explanation:

Answer:

6, 10

Step-by-step explanation:

The first point is on 6, and ending at 10.

Answer:

4

Step-by-step explanation:

Answer:

X= -1

Step-by-step explanation:

2x+5=1(x+4)

2x+5=1x+4

2x-1x=-5+4

x=-1

Step-by-step explanation:

The function that best describes the graph is y = (x - 1)² (C).

Answer:

4/33 = 0.12121

Step-by-step explanation:

Answer:

8/66 reduced is 4/33

Step-by-step explanation:

Ummmm its not clear so

Answer:

C is not a zero for the solution of the polynomial equation

Please slow down with posting questions, this seems like a Canvas Exam.

Answer:

its not a zero

Step-by-step explanation:

hope this helps <3

Answer:

[tex]B.\ 14.4\ units[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Coordinates\ of\ Endpoint\ O=x_1,y_1=(-2,9)\\Coordinates\ of\ Endpoint\ A=x_2,y_2=(6,-3)\\As\ we\ know\ that,\\The\ length\ of\ line\ segment\ OA\ or\ u\ is\ the\ distance\ between\ its\ endpoints\\ O\ and\ A.\\Hence,\\The\ linear\ distance(d)\ between\ any\ two\ points\ on\ a\ cartesian\ plane,\\ is\ given\ by\ the\ Formula:\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\Hence\ here,\\[/tex]

[tex]In\ order\ to\ find\ the\ distance\ between\ O\ and\ A,\ we\ just\ need\ to\ plug\ in\\ its\ respective\ coordinates\ in\ the\ Formula\ above.\\Hence,\\Distance\ between\ O\ and\ A= \sqrt{(6-(-2))^2+(-3-(9))^2} \\Distance\ between\ O\ and\ A= \sqrt{(6+2)^2+(-3-9)^2}\\Distance\ between\ O\ and\ A= \sqrt{(8)^2+(-12)^2}\\Distance\ between\ O\ and\ A= \sqrt{64+144}\\Distance\ between\ O\ and\ A= \sqrt{208}\\Distance\ between\ O\ and\ A \approx 14.42\ or\ 14.4\ units[/tex]

Answer:

33

Step-by-step explanation:

The area is 22, and to find area you do l*w

so 22/2=11

so 11*3=33

your unknown number is 33

Answer:

6x+12

Step-by-step explanation:

5 + 2x + 7 + 4x

2x + 4x = 6x

5 + 7 = 12

6x + 12

Answer:

Step-by-step explanation:

3/4 / 1/2

i think u multiply the recipricol 3/4x2/1=6/4 or 3/2

Answer:

Step-by-step explanation:

Answer:

2 years

Step-by-step explanation:

Step one:

Given Information

Principal= $2600

rate = 4.5%

SImple interest = $234

Required

The time T of the investment

Step two:

the expression for simple interest is

[tex]SI= PRT/100[/tex]

substitute

[tex]234= 2600*4.5*T/100[/tex]

cross multiply we have

[tex]234*100= 2600*4.5*T\\\\23400= 11700T\\\\[/tex]

divide both sides by 11700

[tex]23400/11700= T\\\\T= 2 years[/tex]

Answer:

8.25 ft & 6.75 ft

Step-by-step explanation:

So we know it's split into two pieces, right? So normally that would be 7.5 ft each. But one is 1.5 ft longer than the other. So as a result, I divided that by 2 to add 0.75 ft to piece one and subtract 0.75 ft from piece two's length. So, the longer piece is 8.25 ft, and the shorter one is 6.75 ft.

Answer:

Solution given:

total length=15foot

splits into 2 pieces

let shorter pieces be x.

we have longer pieces =2x-1.5ft

Now

total length=x+2x-1.5ft

15 ft =3x-1.5ft

15+1.5=3x

x=[tex] \frac{16.5}{3} [/tex]=5.5ft

Now

shorter length: 5.5ft.

longer length:2*5.5-1.5=9.5ft.

Answer: T=7

Step-by-step explanation:

0t−15−7.5t=6−0.5t

2 Simplify  10t-15-7.5t10t−15−7.5t  to  2.5t-152.5t−15.

2.5t-15=6-0.5t2.5t−15=6−0.5t

3 Add 1515 to both sides.

2.5t=6-0.5t+152.5t=6−0.5t+15

4 Simplify  6-0.5t+156−0.5t+15  to  -0.5t+21−0.5t+21.

2.5t=-0.5t+212.5t=−0.5t+21

5 Add 0.5t0.5t to both sides.

2.5t+0.5t=212.5t+0.5t=21

6 Simplify  2.5t+0.5t2.5t+0.5t  to  3t3t.

3t=213t=21

7 Divide both sides by 33.

t=\frac{21}{3}t=

​3

​

​21

​​  

8 Simplify  \frac{21}{3}

​3

​

​21

​​   to  77.

t=7t=7

Answer:

5 / 6

Step-by-step explanation:

Given that:

Probability that a dice rolled once will not land on 2

Probability = required outcome / Total possible outcomes

Total possible outcomes = (1, 2, 3, 4, 5, 6)

Required outcome = 2

P(not land on 2) = 1 - p(land on 2)

P(land on 2) = 1/6

P(not land on 2) = 1 - 1/6

P(not land on 2) = 5/6

Answer:

$54.19

Step-by-step explanation:

Answer:

Thank you very much :3

Have a great day!

also 1 + 1 is 2

Answer:

yeah I like that your free points and thanks

Answer:

The length of the ladder = 17 meters(17m)

Step-by-step explanation:

The formula to find the Length of the ladder is given as:

L² = x² + y²

Where L = Length of the Ladder

Let x = 8m

We solve for y

From the above question, we are told that:

The top of a ladder slides down a vertical wall at a rate of 0.32 m/s.

Hence: (-0.32)y = -0.32y

At the moment when the bottom of the ladder is 8 m from the wall, it slides away from the wall at a rate of 0.6 m/s. Hence:

8(0.6) - 0.32y = 0

4.8 = 0.32y

y = 4.8/0.32

y = 15m

Hence:

L² = x² + y²

L² = 8² + 15²

L² = 64 + 225

L² = 289

Square root both sides

L = √289

L = 17m

The length of the ladder = 17 meters(17m)

Answer:

The unit rate is 6.5mph or 6.5 miles per hour.

Step-by-step explanation:

22.75/3.5 = 6.5

Answer:

after 3 years on edg

Step-by-step explanation:

Answer:

3 years

Step-by-step explanation:

Answer:

its c!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

3/40 hours.

Step-by-step explanation:

hope this helps !

Answer:

-(m+2)(m^2+16)

Step-by-step explanation:

Answer:

- 12s² + 11st - 2t²

Step-by-step explanation:

Given

(- 3s + 2t)(4s - t)

Each term in the second factor is multiplied by each term in the first factor, that is

- 3s(4s - t) + 2t(4s - t) ← distribute both parenthesis

= - 12s² + 3st + 8st - 2t² ← collect like terms

= - 12s² + 11st - 2t²