A colony of bacteria is growing at a rate of 50% per hour. If this rate of growth remains the same and the colony starts with 100 bacteria, approximately how many bacteria will there be after 6 hours

I will set it up.

Let a = adults

Let s = seniors

The first equation is a + s = 325.

The second equation is 9a + 7s = 2504.

Here is your system of equations:

{a + s = 325

{9a + 7s = 2504

Take it from here.

Answer:

81%

Step-by-step explanation:

200-38= 162

162/200= 81/100

81%

Answer:

The mode is 31

good luck naka

Answer:

b. the triangles are congruent by ASA

explanation: you can see that both triangles share the same angles at M and P so they are the first angle then R is the second angle because this is a vertical angle in both triangles then they share a side because of R being the midpoint of PM

Answer:

-6

Step-by-step explanation:

this is in y=mx+b form, where m is the slope ! so m is -6

The events are not mutually exclusive because D. The sum of P(A) and P(B) is not equal to P(A or B).

Given that

For mutually exclusive events, P(A) + P(B) = P(A or B).

So, P(A) + P(B) = 0.3 + 0.6 = 0.9

P(A or B) = 0.8

Since P(A) + P(B) = 0.9 ≠ P(A or B) = 0.8

The events are not mutually exclusive.

So, the events are not mutually exclusive because D. The sum of P(A) and P(B) is not equal to P(A or B).

Learn more about mutually exclusive events here:

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Answer:

C

Step-by-step explanation:

Answer:

  D.  54 feet

Step-by-step explanation:

One side will be 1/10 of the total length of all 10 sides.

  (1/10)(540 ft) = 54 feet . . . length of one side

Answer:

You can download app to help you I hope you find your answer

EXPLANATION:

Given that

sin θ = 1/2

We know that

sin 3θ = 3 sin θ - 4 sin³ θ

⇛sin 3θ = 3(1/2)-4(1/2)³

⇛sin 3θ = (3/2)-4(1/8)

⇛sin 3θ = (3/2)-(4/8)

⇛sin 3θ = (3/2)-(1/2)

⇛sin 3θ = (3-1)/2

⇛sin 3θ = 2/2

⇛sin 3θ = 1

and

cos 2θ = cos² θ - sin² θ

⇛cos 2θ = 1 - sin² θ - sin² θ

⇛cos 2θ = 1 - 2 sin² θ

Now,

cos 2θ = 1-2(1/2)²

⇛cos 2θ = 1-2(1/4)

⇛cos 2θ = 1-(2/4)

⇛cos 2θ = 1-(1/2)

⇛cos 2θ = (2-1)/2

⇛cos 2θ = 1/2

Now,

The value of sin 3θ /(1+cos 2θ

⇛1/{1+(1/2)}

⇛1/{(2+1)/2}

⇛1/(3/2)

⇛1×(2/3)

⇛(1×2)/3

⇛2/3

Answer : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.

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1. big planets and carbon dioxide

2. when god sent adam (the first human being) to earth and had a female with him they got married and gave birth to children and the children marry each other and so on.

3. yes we're the only alive humans within this universe, but outside the universe are god and his worshippers.

4. our human-shaped bodies are the way we feel, hear, look, and do lots more things!

5. when someone feels unlike normal.

6. to feel there's a side of u that can do the impossible.

7. things were passed down from generations so it's possible that "stuff" can be made back when adam came to earth but other than that there was "stuff" even before humanity.

8. yes

other than that, hope u got ur questions solved

Answer:

26

Step-by-step explanation:

STEP

1

:

4

Simplify —

1

Equation at the end of step

1

:

(24 - 4) + 6

STEP

2

:

Final result :

26

Answer:

A, D, G, H

Step-by-step explanation:

Look at the pink(or purple) lines. R and F both have 4 lines, so they're congruent. S and G both have 1 line, so those are congruent too.

-hope it helps

Answer:

1st option: ∠S ≅ ∠G

4th option: ∠T ≅ ∠H

7th option: ∠Q ≅ ∠E

8th option: ∠R ≅ ∠F

Step-by-step explanation:

Side lengths are unnecessary you just look at those loop things. Angles with the same number of "loops" are congruent like how ∠Q and ∠E both have 3 "loops", this means those angles are congruent.

Answer:

v is independent

Step-by-step explanation:

v because v isn't depended on m

m depends on how many visitors there are so it's depended on v.

:)

Answer:

x = 2

Step-by-step explanation:

(4+3x)/2 = 5

4+3x = 10

3x = 6

x = 2

Answer:

the answer is two

Step-by-step explanation:

4/2 3x/2=5

2+1.5x=5

-2.        -2

1.5x=3

————

1.5.   1.5

3/1.5=2

Answer:

x^16

Step-by-step explanation:

Put x^4 in the place of x, to get (x^4)^4. Multiply the exponents

Answer:

2000

Step-by-step explanation:

1 dm =1000

2dm =?

2dm x 1000

1dm

2000

Answer:

80

Step-by-step explanation:

Answer:

(-∞, -1]

Step-by-step explanation:

−x−6≥−5

-x≥1

x≤-1

−2x−5>4

-2x>9

x<-9/2

So x < -9/2 V x ≤ -1

Answer:

(−∞,∞)

Step-by-step explanation:

5x - 4 ≤ - 3

5x ≤ 1

x ≤ [tex]\frac{1}{5}[/tex]

4x + 6 > 0

4x > - 6

x > - [tex]\frac{3}{2}[/tex]

The percentage of boys who spent less than the median amount of time is less than the number of girls who spent less than the median amount of time in doing the homework.

The median is a measure of central tendency. The median of a given data set shows the middle number in a given set of scores when they arranged in ascending or descending order.

The box plots in the question shows the random sample of both boys and girls how much time they had spent on math homework in a week. We can see from the box plot that the percentage of boys who spent less than the median amount of time is less than the number of girls who spent less than the median amount of time in doing the homework.

Learn more about median; https://brainly.com/question/300591

Answer:

A

Step-by-step explanation:

A. 2 toys/5 minutes

y/x

Step-by-step explanation:

Why use brainly for this

Answer:

I’d say 84.68%

0.99 /3 = 0.33 per peach

0.33 per peach x 5 peaches = 1.65 total

Answer: $1.65

Answer:

1.65

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Since the shape is an equilateral triangle, all the angles are equal measure, 60° and all the sides are also of equal measure that was given, root3. So half of the triangle has length (root3)/2. The perpendicular drawn in the interior is also an angle bisector. The triangles created are 30°-60°-90° triangles. The sides of this special right triangle are in the ratio

s : 2s : sroot3

The longest side of the 30-60-90 triangle is given. The shortest side is half the length of the longest side. The length of the long leg is the short leg × root3

In this diagram the short leg is (root3)/2 .

(root3)/2 × root3 = 3/2

See image.

Answer:

I'm not sure about this, sorry!

Step-by-step explanation:

[tex]648 \div 36 = 18[/tex]

18 gallons of water flowed into the tank each minute.

Answer: the answer is 18 gallons

Step-by-step explanation: all you have to do is divide 648 by 36 and you should recieve an answer of 18

Answer:

a and d i think

Step-by-step explanation:

Answer:

No positive real solutions.So the answer is zero.

Step-by-step explanation:

Answer:

Step-by-step explanation:

40/32 ?=? (40 + 12.5) / (32 + 10)

  1.25  ?=? 52.5 / 42

   1.25   =  1.25

similar via SAS

Answer:

155°

Step-by-step explanation:

We know that the sum of the sections must be 360°. So, by removing a section of 75° he leaves the paper circle with a section of 185°, then removes another 130° section, leaving the last section of 155°.

The required value of "k" is 8. Option B is correct

Given the polynomial function

[tex]P(x) =2x^3-4x^2+kx-3[/tex]

What is remainder theorem?

The remainder theorem is a formula used to find the remainder when a polynomial is divided by a linear function.

If  this polynomial has a factor of x - 1 and remainder of 3, hence x = 1 and P(x) = 3. This means that P(1) = 3

[tex]P(1) =2(1)^3-4(1)^2+k(1)-3\\3 = 2-4+k-3\\6 = -2 + k\\k = 8\\[/tex]

Hence the required value of "k" is 8

Learn more on polynomial function  here: https://brainly.com/question/10881257