A culture of bacteria has an initial population of 860 bacteria and doubles every 9 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t ​ =P 0 ​ ⋅2 d t ​ , where P_tP t ​ is the population after hours, P_0P 0 ​ is the initial population, is the time in hours and is the doubling time, what is the population of bacteria in the culture after 4 hours, ?

Answer:

20.8

Step-by-step explanation:

hope this helps

Answer:4

Step-by-step explanation:

Answer:

C) ∠BAD = 23°

Step-by-step explanation:

side DA = side AD by the reflexive property

side AB = side AC because of the Pythagorean theorem

ΔBAD is congruent to ΔCAD because SSS

∠BAD = ∠CAD because corresponding parts of congruent triangles are congruent

Answer:

x = 20

Step-by-step explanation:

To solve this problem we first observe the Pythagoras equation. If a= 16 and b=12 are the lengths of the legs of a right triangle and c=x is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.  

This relationship is represented by the formula: a*a + b*b = c*c

[tex]\sqrt{16^2 + 12^2}[/tex] = x  

Answer:

y= -2x + 9

Step-by-step explanation

y=mx + c                   where m is slope          c is the constant  and x and y are the coordinates

so y = 1 x=2 m = -4

so 1 = -4(2)+ c

1= -8 + c

c=9

so

y= -2x + 9

Answer:

-4

Step-by-step explanation:

The order in which you do this addition and subtraction doesn't matter.

Step by step:

12 – 10 + 5 - 11       becomes 2 + 5 - 11, and

2 + 5 - 11 becomes 7 - 11, and

7 - 11 becomes -4

Answer:

Step-by-step explanation:

The base of the prism is triangle with base of 6 yd and hight of 6 yd.

The hight of the prism is 10 yd.

Therefore, the volume of the prism:

[tex](\frac12\cdot8\cdot6)\cdot10=240\ yd^3[/tex]

Answer:

2x

2

−x−2=2(−1)

2

−(−1)−2 [Putting x=−1]

=2×1+1−2=2+1−2

=3−2

=1.

Answer:

4

Step-by-step explanation:

Think about it like this: What number multiplied by itself is equal to 16. It's 4! Because 4 *4 = 16. Thus, the missing base is 4

Answer:

It is 4

Step-by-step explanation:

It would be 4 since the square root of 16 is 4.

Jeremiah average velocity during the drive was 80 km/h while the instantaneous velocity at one point was 105 km/h

An equation is used to show the relationship between numbers and variables.

Average velocity is the ratio of total distance travelled to total time taken. Instantaneous velocity is the velocity at a particular point in time.

Jeremiah completed a straight, 120 km drive in 1.5 hours, hence:

Average velocity = total distance / total time

Average velocity = 120 km / 1.5 hours = 80 km/h

At one point during the drive, he saw that his speedometer read 105 km/h, hence:

Instantaneous velocity = 105 km/h

The average velocity is 80 km/h while the instantaneous velocity is 105 km/h

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To solve for x, we need to get x by itself on one side of the equation. To do this, we can start by subtracting 1.4x from both sides of the equation. This gives us:

3 1/2 - 1.4x ≥ 0

Next, we can simplify the left side of the equation to get:

7/2 - 7/5x ≥ 0

Now we can divide both sides of the equation by -7/5 to get:

-5/2x ≤ -7/2

Finally, we can multiply both sides of the equation by -2/5 to get:

x ≥ 4 9/10

Therefore, the solution is x ≥ 4 9/10, which corresponds to answer choice C.

Answer:
x ≥ 4 9/10 C:)

Step-by-step explanation:

The value of the expression is -44 and thus does not depend on the value of x

An algebraic expression can be described as a mathematical expression made up of variables, terms, factors, coefficients and constants.

They are also made up of mathematical or arithmetic operations, which includes;

From the information given, we have that;

(x-5)(x+8)-(x+4)(x-1)

expand the bracket

x² + 8x - 5x - 40 - (x² -x + 4x - 4)

x² + 8x - 5x - 40 - x² + x - 4x + 4

collect like terms

3x - 3x - 40 - 4

add or subtract like terms

0 - 44

Hence, the expression does not depend o x

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5W = 24D is the expression that represents the change in the rate of dosage as per the weight.

A mathematical expression is a sentence that includes numbers, variables, or both. The equal symbol is never used in expressions. Here are a few phrases as examples. A mathematical statement stating the equality of two expressions is known as an equation.

Given the relation between dosage and the weight of a medicine

               Children's Fever Medicine

                (given every 4-6 hours, as needed)

Weight:     24 lbs         36+ lbs         48+lbs          60+lbs         72+ lbs

Dosage:    5 mL         7.5 mL          10 mL             12.5 mL           15 mL

ratio of weught and dose

24/5 = 36/7.5 = 48/ 10 = 60/12.5 = 75/15

=> 4.8 = 4.8 = 4.8 = 4.8 = 4.8

Since weight is directly proportional to the dosage

let W be the weight of the child and D be the Dose of the medicine

Thus, Relation between them:

=>W/D = 24/5

=> 5W = 24D

Therefore, The formula that describes the change in dosage rate in relation to weight is 5W = 24D.

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Answer:

14 and 16

Step-by-step explanation:

Answer:

There was a discount of 20% on the pair of pants.

Step-by-step explanation:

10% of $34 would be $3.40 meaning 20% would be double, which is $6.80.

If we subtract 20% or $6.80 from the original price $34, we get 34 - 6.80 = 27.20

Answer:

This is not possible.

Step-by-step explanation:

6 m = 600 cm

A triangle with a 600 cm leg and a 10 cm hypotenuse is impossible

If the 6 m should have been 6 cm, then:

Using the Pythagorean theorem:

base² = 10² - 6² = 100 - 36 = 64

base = √64 = 8

d² = 8² + 15² = 64 + 225 = 289

d = √289 = 17 cm , not meters

Answer:

Using doubles plus one fact the sum of 7 + 7 is equal to 15 it is done by simply adding 1 to the given number.

Given :

Expression - 7 + 7

Doubles plus one fact is used to add numbers that are next to each other. for example, if a number given is 8 + 8 we have to evaluate it by using doubles one fact so 8 + 8 = 8 + 8 + 1 = 17.

The sum of 7 + 7 can be determined by using doubles plus one fact as:

Simply add 1 in 7 + 7 to get the result required.

Therefore by using doubles plus one fact the sum of 7 + 7 is equal to 15.

Answer:

All you have to do is remember the equation: 2 *pi * r

or d * pi

Step-by-step explanation:

2R and d are the same thing

The term that have the greatest value is

The knowledge of negative and positive number is necessary here.

numbers less than zero are negative while numbers greeter than zero are positive

Negative terms in an odd exponent remains negative hence less than zero in even exponent the negative changes to positive and becomes greater than zero

For the expression aₙ = (-1)ⁿ⁺¹(5)ⁿ the teem that determines whether the expression is greater that zero is  (-1)ⁿ⁺¹. therefore

n + 1 must be even

n must be odd for n + 1 to be even hence the greatest number here is aₙ₊₁₅ a(n+15)

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Answer:

0.18

Step-by-step explanation:

The relative frequency of eight graders who want fruit smoothie :

Number of eight graders who want fruit smoothie / total number of students surveyed

= 45 / 250

= 0.18

theremay be some options first show the options then it would be very easy

Answer:

B. 23/5 simplified to 4 3/5

Answer:

B. 23/5

Step-by-step explanation:

4 (whole number) ×5 (denominator) =20

20 + 3 (numerator) = 23

Ans = 23/5

Answer:

8 + v

Step-by-step explanation:

assuming Lamar didn't buy any other cupcakes outside of the chocolate and vanilla ones mentioned, the expression that gives you the total amount of cupcakes bought for the party is 8 + v. since you don't know the number of vanilla cupcakes Lamar bought, it is represented as the variable v in this problem. Then just add 8 and the variable v together. hope this helped :]

The total amount withheld from the student's pay last year in federal tax, state tax, and FICA is $667.50 + $201.25 = $868.75

Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the symbol "%" (percent sign). Percentages are used to express how much of something there is in relation to the whole. For example, if a student answers 80% of the questions correctly on a test, it means they answered 80 out of 100 questions correctly.

A tax is a financial charge imposed by a government on individuals, businesses, or other entities to raise revenue for government spending. Taxes are typically based on a percentage of income or sales, and can be levied on various forms of income, including wages, salaries, and profits. The purpose of taxation is to fund government programs and services, such as roads, schools, and national defense. Taxes can also be used to redistribute wealth and influence economic behavior.

The amount withheld from the student's pay last year in federal tax is $6675 x 0.1 = $667.50

The amount withheld from the student's pay last year in state tax is $6675 x 0.03 = $201.25

The total amount withheld from the student's pay last year in federal tax, state tax, and FICA is $667.50 + $201.25 = $868.75

So the answer is A. 867.75

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This approximates to roughly 6/7 = 0.8571

========================================================

Explanation:

Let's define the following

There are 30 students in the class total. This must mean A+B+C+D = 30.

We know that "There were 7 students who failed the test and also did not complete the assignment", meaning we can say D = 7.

We can also say A+B = 21 because this is the entire group of people who passed the test (whether they did the hw or not).

This means:

A+B+C+D = 30

(A+B)+C+D = 30

(21) + C + 7 = 30

C+28 = 30

C = 30-28

C = 2

We have 2 people who failed the test, but did the hw.

Because 20 students did the hw, we know that

A+C = 20

A+2 = 20

A = 20-2

A = 18

We have 18 students who passed the test and did the hw. This is out of 21 students who passed. From here on out, we only focus on this group of students because of the phrasing "given that they passed the test". This means we know 100% that whoever we picked, they passed the test.

The probability we're after is therefore:

18/21 = (3*6)/(3*7) = 6/7

Side note: It might help to sort the data into a table as shown below. Start with table 1, and the goal is to replace the placeholder letters with the proper numbers, to arrive at table 2. You'll have to use algebra as shown earlier to fill out the table.

Answer:

6/7

Step-by-step explanation:

It's correct trust me.

A barracuda swam directly toward a coral reef at a speed of 9.6 seconds. It swam 72 meters. so its speed was 7.5m/s.

Speed can be calculated as the ratio of distance traveled to the time taken.

Speed = Distance/ time taken

A barracuda swam directly toward a coral reef at a constant velocity for 9.6 seconds. It swam 72 meters in that time.

Distance = 72 meters

Time taken = 9.6 seconds

So,

Speed = Distance/ time taken

Speed = 72/ 9.6

           = 720/ 96

           = 7.5m/s

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Answer:

The box is considered a cube so,

4 x 4 = 16

56 divided by 16 = 3.5 is your height

1/2 x 1/2 x 1/2 = 1/8.

56 divided by 1/8 = 7 cubes

9 yards is 324 inches