A certain bacteria is placed in a jar. Initially, there are 25 bacteria. Every hour, the number of bacteria quadruples. How much bacteria will there be in 6 hours?

To find the dimensions of the rectangular swimming pool, we can use the formula for the area of a rectangle. The width is 8 meters and the length is 24 meters.

To find the dimensions of the rectangular swimming pool, let's assume the width to be 'w' meters. According to the given information, the length of the pool is triple the width, which means the length is 3w meters. To find the area of the pool, we can use the formula: Area = Length × Width.

Given that the area of the pool is 192 m², we can substitute the values into the formula as follows:

192 = (3w) × w

192 = 3w²

Dividing both sides of the equation by 3, we get:

w² = 64

Taking the square root of both sides of the equation, we get:

w = ±8

Since the width cannot be negative, the width of the pool is 8 meters. The length of the pool can be calculated by multiplying the width by 3:

Length = 3 × 8 = 24 meters

Therefore, the dimensions of the rectangular swimming pool are 8 meters by 24 meters.

P = a + b - 4

subtract b from both sides

P - b = a - 4

add 4 to both sides

P - b + 4 = a

To solve for 'a' in the equation P = a + b - 4, you should subtract 'b' from both sides and add 4 to both sides to get a = P - b + 4.

The question asks to solve for a in the equation P = a + b - 4. To do this, we need to isolate a on one side of the equation. Thus, we start by subtracting b from both sides and then adding 4 to both sides. The resulting equation will be a = P - b + 4. This procedure is quite different than solving quadratic equations like ax² + bx + c = 0, where we have to use the quadratic formula -b ± √b² - 4ac / 2a to find the solutions.

https://brainly.com/question/18322830

#SPJ11

f(3) = 2x² - 3x + 1

2(3)² - 3(3) + 1

18 - 9 + 1

F(3) = 10

f(2) = 2(2)² - 3(2) + 1

8 - 6 + 1

f(2) = 3

f(3) - f(2)

10 - 3

f(3) - f(2) = 7 because you find f(3) = 10, and f(2) = 3, and plug in the answer you found. This gives you 10 - 3, which is 7.

The value of f(3) - f(2) is 7 if the function f(x) = 2x² - 3x + 1 the correct answer is option B: 7.

To find f(3) and f(2), we need to plug the respective values of x into the given function f(x) = 2x² - 3x + 1 and then subtract the results.

f(3):

f(3) = 2(3)² - 3(3) + 1

f(3) = 2(9) - 9 + 1

f(3) = 18 - 9 + 1

f(3) = 10

f(2):

f(2) = 2(2)² - 3(2) + 1

f(2) = 2(4) - 6 + 1

f(2) = 8 - 6 + 1

f(2) = 3

Now, let's find f(3) - f(2):

f(3) - f(2) = 10 - 3 = 7

So, the value of f(3) - f(2) is 7.

The correct answer is option B: 7.

To know more about function click here :

https://brainly.com/question/34734445

#SPJ2

First will make the fraction is easier by turning it into 6/8 but because we’re halving it the we only halve the numerator, so it’s 3/8.

If this can’t be understood I’d gladly help elaborate

Let's resolve the powers of 10 to make them comparable

47000

45000

5000

280000

125000

Now you can see the largest is 280000 and the smallest is 5000

Their difference is 280000 - 5000 = 275000

Hello there!

[tex]5.6*7.3[/tex]

Explanation:

↓↓↓↓↓↓↓↓

First you had to multiply without the decimal points, and then you put the decimal point it should be the correct answer.

[tex]56*73=4088[/tex]

5.6 it has one decimal place.

7.3 it has one decimal place.

Therefore, the answer should be the two decimal places.

[tex]=40.88[/tex]

Answer⇒⇒⇒⇒⇒40.88

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

Answer:

$34,666.67

Step-by-step explanation:

Step 1: Calculate the interest for 60 days.

(40000*60/360 )* 0.10 = $666.67

Step 2: Amount = Principal + Interest = $40,000 + 666.67 = $40,666.67

Step 3 : After 60 days, he paid $6000.

Remaining balance of the first payment = 40666.67 - 6000 = $34,666.67

Thank you.

$4.50 because 3 were free wich means 9 cost money 9*0.50=4.5

The cost of 12 candy bars with a 'buy 3 get 1 free' offer is $4.50.

To calculate the cost of 12 candy bars under the 'buy 3 get 1 free' deal, we need to divide the 12 by the group size, which is 4 (3 that you pay for + 1 that you get for free). This results in 3 groups. Since you only pay for 3 candy bars in each group, each group will cost you $0.50 x 3 = $1.50. So, the total cost for 12 candy bars is $1.50 x 3 = $4.50.

https://brainly.com/question/32761587

#SPJ12

[tex]c = \frac{-7+\sqrt{129} }{8}  ,\frac{-77-\sqrt{129} }{8}[/tex]

Let x be the number of rows.

If the number of rows is 7 less than the number of seats in each row, then the number of seats in a row is x+7. The total number of seats is

x·(x+7).

You know that a theater can seat 120 people, then

x·(x+7)=120.

Solve it:

[tex]x^2+7x-120=0,\\\\D=7^2-4\cdot (-120)=49+480=529,\ \sqrt{D}=23,\\\\x_1=\dfrac{-7+23}{2}=8, \ x_2=\dfrac{-7-23}{2}=-15.[/tex]

The number of rows must be positive, then x=8.

Answer: there are 8 rows with 15 seats at each.

The ratio of emails sent to emails received by Nick that month is 5:3 in its simplest form, determined by calculating their greatest common divisor.

The subject of your question is ratios and it falls under the category of Mathematics.

'For every 50 emails that Nick sent in a month, he received 30 emails.' This tells us about a ratio. A ratio is a way to compare amounts of something.

The ratio in this case is the number of emails sent by Nick to the number of emails he received. We express this ratio as '50:30'.

To simplify the ratio, we find the greatest common divisor (GCD) of 50 and 30, which is 10. So, we divide both numbers by 10. Thus, our simplified ratio is 5:3.

This means Nick sent 5 emails for every 3 emails he received, in simplest terms.

https://brainly.com/question/32531170

#SPJ3

Answer:

1. Solve the equation using addition or subtraction.

[tex]4=q+13[/tex]

Taking like terms on one side, we get

[tex]4-13=q[/tex]

=> [tex]-9=q[/tex]

or [tex]q=-9[/tex]    (option C)

2. Solve the equation using addition or subtraction.  

[tex]5.5= -2+d[/tex]

Taking like terms on one side, we get

[tex]5.5+2=d[/tex]

So, [tex]d=7.5[/tex]    (option B)

3. Solve the equation using multiplication or division

[tex]-7y=28[/tex]

Dividing both sides by 7, we get

[tex]-y=4[/tex]

or [tex]y=-4[/tex]    (option A)

4. Solve the equation using multiplication or division

[tex]-13=\frac{m}{-5}[/tex]

Cross multiplying -13 and -5 to get the value of m

[tex]m=(-13)(-5)[/tex]

[tex]m= 65[/tex]      (option C)

The solutions of the equations are =

1) C) q = -9.

2) B) d = 7.5.

3) A) y = -4.

4) C) m = 65.

Given are the equation we need to solve them,

Let's solve the equations one by one:

1) 4 = q + 13

To isolate q, we can subtract 13 from both sides of the equation:

4 - 13 = q + 13 - 13

-9 = q

Therefore, q = -9.

The correct answer is C) q = -9.

2)5.5 = -2 + d

To isolate d, we can subtract -2 from both sides of the equation:

5.5 - (-2) = -2 + d - (-2)

5.5 + 2 = d

7.5 = d

Therefore, d = 7.5.

The correct answer is B) d = 7.5.

3) -7y = 28

To solve for y, we can divide both sides of the equation by -7:

(-7y) / (-7) = 28 / (-7)

y = -4

Therefore, y = -4.

The correct answer is A) y = -4.

4) -13 = m / -5

To isolate m, we can multiply both sides of the equation by -5:

-5 x (-13) = m

65 = m

Therefore, m = 65.

The correct answer is C) m = 65.

Learn more about Equations click;

https://brainly.com/question/29538993

#SPJ6

Answer:

There are 14 cows and 68 Chicken in the farm.

Step-by-step explanation:

A Cow has 4 legs

Chicken has 2 legs.

Lets take there [tex]x[/tex] chickens AND,

there are [tex]y[/tex] number of Cows.

Now we can write two equations for the number of heads and legs.

For the number of heads we can write,

[tex]x+y=82[/tex] <--------- 1st equation

For the number of legs we can write,

[tex]2x+4y=192[/tex] <------ 2nd equation

We can now solve the simultaneous equations to find [tex]x[/tex] and [tex]y[/tex]

Multiply 1st equation by 2 and deduct it from 2nd equation to remove [tex]x[/tex]

⇒[tex]2x+4y-2*(x+y)=192-164[/tex]

⇒[tex]2x+4y-2x-2y)=112-164[/tex]

⇒[tex]2y=28[/tex]

⇒[tex]y=14[/tex]

Therefore, there are 14 cows in the farm.

Now we can substitute the [tex]y[/tex] value to the 1st equation and find [tex]x[/tex] value.

[tex]x+14=82[/tex]

[tex]x=68[/tex]

Therefore, there are 68 chickens in the farm.

First, solve the parenthesis

-8 + 6 = -2

-3[5 - (-2)]

Note that two negatives = one positive

-3[5 - (-2)] = -3[5 + 2]

Simplify. Solve the bracket

-3[5 + 2] = -3[8]

Simplify. Multiply to get the answer

-3 x 8 = -24

-24 is your answer

hope this helps

Answer:

-21

#RoadToGraduation

Step-by-step explanation:

The base is from 2 to 7, which is 5 units long.

The height is from 1 to 8, which is 7 units tall.

Using the Pythagorean theorem we can calculate the hypotenuse:

Hypotenuse = √5^2 +7^2=

√25 +49=

√74=

8.6

Perimeter = 5 + 7 + 8.6 = 20.6

The answer is C.

Mass. It and velocity affects kinetic energy.

Hi

The answer is

A) The term 8f represents the cost of f stems of flowers at $8 per stem.

Thank you.

For this case we have the following expression:

[tex]13v + 8f + 6b + 3m\\[/tex]

That represents the total cost, in dollars, of the silk floral arrangements.

The variables are the following:

v: number of vases

f: amount of stems of flowers

b: quantity of stems of wood bark

m: number of packages of marbles

Thus, 8f Represents the cost associated with the quantity of stems of flowers, where f represents that amount

Answer:

option A

The answer is: Product.

The explanation for this completion exercise is shown below:

By definition, a product is the result of multiply two or more factors. For example:

[tex](6)(2)=12[/tex] (The factors are 6 (Multiplier) and 2 (Multiplicand) and the result or the product is 12).

[tex](10)(8)=80[/tex] ( (The factors are 10 (Multiplier) and 8 (Multiplicand) and the result or the product is 80).

Answer:

Its Option B

Step-by-step explanation:

Total Amount of Ice Cream = 2/3 cup

Ice Cream Taken = Two Scoops of 1/6 cups = 2 x 1/6 = 2/6

Ice Cream Left = Total Amount of Ice Cream - Ice Cream Taken

                         =  2/3  -  2/6

                         =   2/6

Hope That explains it!

Brainliest?

A surplus is "When you spend less than you have in income".

Income is the monetary value that a person earns against a service or a business.

When the person spends less than his income or spends less than the expected expenditure, then the extra saved money is known as a surplus.

Hence, A surplus is "When you spend less than you have in income".

Learn more about income here:

https://brainly.com/question/14732695

#SPJ2

I think 81 is composite and is 9 squared. 81 = 1 x 81, 3 x 27, or 9 x 9. Factors of 81: 1, 3, 9, 27, 81. Prime factorization: 81 = 3 x 3 x 3 x 3 which can also be written 3⁴. Since √81 = 9, a whole number, 81 is a perfect square. Even though it has other factors, the only multiplication fact we use is 9 x 9 = 81.

Answer:

81

Step-by-step explanation:

Each shelve will hold 7 bottles.

they can hold 4,968 bottles

Answer:

46.50

I hope this helped

43.524 +3.004= 46.528

rounded you should get 46.530

sorry if i couldnt help hope i did! :)

A because just multiply 1/4 by 16 and u get 4

95° because 85 + x = 180 so you do 180 - 85 and get 95

1/3

Hope it helps :PPPPPPP

True becauseIf you look a true “if then” statement, inserted a not in each clause, and reversed the clauses, the new statement would also be true.

Answer:

It's true

Step-by-step explanation:

Answer:

Step-by-step explanation:

4.95+(18.95 x 11) = $213.40 a year