A scientist begins an experiment with a petri dish containing a culture of bacteria cells and records the cell growth every hour. At 1 hour, the bacteria had grown to 880 cells, and at 2 hours, had grown to 3,520 cells. Which function can be used to represent the relationship between the number of bacteria cells, y, and the time in hours, x?

y = 4 x
y = 220(4) x
y = 880(4) x
y = 880(0.25) x

Answer:

the average rate of change is an increase of 2 points a day

Step-by-step explanation:

The area of the parallelogram will be equal to 36√3 square units.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the parallelogram in a two-dimensional plane is called the area of the parallelogram.

Parallelogram diagram I believe down below. We must find the height and then the area using the Pythagorean theorem. Since the green shaded part is a 30-60-90 triangle, the base is 1/2 the hypotenuse, therefore it is 3. Now we calculate the height with it.

A ² +   B²  =  C²

A²  +   3²   =  6²

A²  +   9    = 36

A²   =    27

A = 3√3

Therefore the height is 3√3. Now calculate the area using A = bh

A   =  b   x   h

A   =  ( 12 )   x   ( 3√3 )

A   =  36√3

So the area is 36√3 square units.

To know more about an area follow

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Answer:

y=−x−35 (Did it on college bridge)

Step-by-step explanation:

Answer:  The required co-ordinates of the point 'P' are (-3.5, 2.3).

Step-by-step explanation:  We are to find the coordinates of point P on the directed line segment from R to Q such that P is 5/6 the length of the line segment from R to Q.

We are to find the co-ordinates of point 'P'.

The ratio in which the point 'P' dives the line segment RQ will be

[tex]m:n=5:1.[/tex]

The co-ordinates of the end-points of line segment RQ are

R(4, -1)  and  Q(-5, 3).

If a point 'H' divides a line segment with end points (p, q) and (s, t) in the ratio m : n, then the co-ordinates of the point 'H' are

[tex]H=\left(\dfrac{ms+np}{m+n},\dfrac{mt+nq}{m+n}\right).[/tex]

Therefore, the co-ordinates of point 'P' are

[tex]\left(\dfrac{5\times (-5)+1\times 4}{5+1},\dfrac{5\times 3+1\times (-1)}{5+1}\right)\\\\\\=\left(\dfrac{-25+4}{6},\dfrac{15-1}{6}\right)\\\\\\=\left(\dfrac{-21}{6},\dfrac{14}{6}\right)\\\\\\=(-3.5,2.3).[/tex]

Thus, the required co-ordinates of the point 'P' are (-3.5, 2.3).

To find point P's coordinates, calculate weights for points R and Q using the ratio 5/6 and apply these to R and Q's coordinates based on linear interpolation.

The question involves determining the coordinates of a point P located at a specific fraction of the distance from point R to point Q on a directed line segment. The fraction given is 5/6, meaning that point P is 5/6th the distance from R to Q. The process to find the coordinates of point P involves calculating the weights for R and Q in the form of (1 - 5/6) and (5/6) respectively and then applying these weights to the coordinates of R and Q. This method is based on the concept of linear interpolation or finding a point of division in a line segment.

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Answer:

A.  

product being used by everyone  

B.  

the aesthetic value of nature  

C.  

identifying internal costs  

D.  

categorizing internal and external costs

Step-by-step explanation:

Answer:

AXxaXax

Step-by-step explanation:

The limitations of determining a function's average rate of change by examining the function's graph include incomplete information, the need for tangent lines, and limited interval-specific data.

When determining a function's average rate of change by examining the function's graph, there are several limitations to consider.

These limitations highlight the importance of understanding the limitations of graph analysis and considering alternative methods, such as calculus, to accurately calculate the average rate of change of a function.

Answer:

C. identity property

Step-by-step explanation:

To find linear 12/10/2023  for the height and length of the box, factor the given polynomial (x - 2)(...)

To find linear expressions for the height and length of the box, we need to factor the given polynomial. The volume of the box can be expressed as (x - 2)(?)(?), where ? represents the linear expressions for height and length. Since we have two unknowns, we need to find two factors that when multiplied together give us the given polynomial.

To factor x^2 - 2x, we need to find two numbers that multiply to give -2 and add up to give -2. The factors are -1 and 2, so we can write the polynomial as (x - 1)(x - 2). Therefore, the linear expressions for the height and length are (x - 1) and (x - 2) respectively.

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Answer:

the answer is 24 i hope this helps ...

The probability of drawing two gold ornaments in a row from a bag containing three green and four gold ornaments is 2/7. This is calculated by multiplying the probability of drawing a gold ornament on the first draw, 4/7, by the probability of drawing another gold ornament from the remaining ornaments, 1/2.

The subject matter of this problem is probability. Probability tells us how likely an event is to occur given certain conditions. In this case, we are interested in the probability of drawing two gold ornaments from a bag containing three green and four gold ornaments. To solve this problem, we have to calculate the probability of selecting a gold ornament on the first and second draw.

Start with the total amount of ornaments, which is seven (three green and four gold). The probability of drawing a gold ornament on the first pick is 4 out of 7, or 4/7. However, if you draw a gold ornament first, there will be 6 ornaments left with 3 being gold.

So, the probability of drawing another gold ornament becomes 3 out of 6, or 1/2. The probable event is happening two times in a row and we're not replacing the ornaments, so we multiply these probabilities together:

4/7 * 1/2 = 2/7

Therefore, the probability of drawing two gold ornaments in a row from this bag is 2/7, so the correct answer is B) 2/7.

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The range of possible scores for the third quiz that would yield an average score between 90 and 95 is 85 to 100, inclusive.

The objective is to find the range of possible scores for the third quiz that would give an average score between 90 and 95, inclusive. As per the question, the sum of the student's first two quizzes is 98+87=185. If we denote the third quiz score as 'x', then the equation could be written as (185+x)/3 = average score. Considering the lower and upper limit of the average, we form two inequalities. For the lower limit, it's (185+x)/3 >= 90, which simplifies to x >= 270 - 185, thus x >= 85. For the upper limit, it's (185+x)/3 <= 95, which simplifies to x <= 285 - 185, thus x <= 100. So, the range of scores for the third quiz that would give an average between 90 and 95 inclusive is 85 <= x <= 100.

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Final answer:

According to Newton's Law of Cooling, it will take approximately 10.76 minutes for the coffee to cool from 210 degrees Fahrenheit to 180 degrees Fahrenheit when placed in a room with a temperature of 68 degrees Fahrenheit.

Explanation:

According to Newton's Law of Cooling, the rate at which an object cools is proportional to the temperature difference between the object and its surroundings. We can use this law to determine how long it will take for the coffee to reach a temperature of 180 degrees Fahrenheit.

Therefore, it will take approximately 10.76 minutes for the coffee to reach a temperature of 180 degrees Fahrenheit.

circumference = Diameter x PI

 using 3.14 for PI

3.14 x 20 = 62.8 feet

F(180) = x/30

= 180/30 = 6 gallons of gas is needed

divide distance by speed

60/40 = 1.5

it will take 1 1/2 hours ( 90 minutes)

Answer:

27

Step-by-step explanation:

2(8 - 4)^2 - 10/2

Using the order PEMDAS, or parenthesis, exponents, multiplication, division, addition, subtraction, we will start with the parenthesis, or 8-4.

2(4)^2 - 10/2

Next is exponents.

2(16) - 10/2

And then multiplication.

32 - 10/2

Then division.

32 - 5

Finally, subtraction.

27

Therefore, the answer is 27.

Answer:

He hit 552 home runs in 12 years

Step-by-step explanation:

To solve this problem, we will follow the steps below;

Using proportion;

Let x be the number of home runs he hits in 12 years

46 home runs = 1 year

    x                  = 12

cross -multiply

x × 1  = 46× 12

x =  552 home runs

Therefore, he hit 552 home runs in 12 years

Answer:

False

Step-by-step explanation:

Suposse that we are given a function f(x) and a constant value h.

1. Case:

If we take the function g(x)=f(x)+h, then the graph of the function g(x) will be the graph of the funcion f(x) moved up or down.

2.Case:

If we take the function g(x)=hf(x), then the graph of the function g(x) will be the graph of the function f(x) just taller or shorter.

3.Case:

If we take the function g(x)=f(x-h), then the graph of the function g(x) will be the graph of the fuction f(x) moved horizontally.

4. Case:

If we take the function g(x)=f(hx), then the graph of the function g(x) will be tha graph of the function f(x) wither or thiner.

For example:

If we take f(x)=sin(x) and h=2. Then, if we take g(x)=sin(2x) then f(0)=g(0)=0, which means that the graph of the functiction is not moved up or down. However, f(π/2)=sin(π/2)=1 and g(π/2)=sin(π)=0 which gives us a hint that the graph of the function became thiner.

Answer:  The correct option is (A) 41°.

Step-by-step explanation:  Given that quadrilateral OPQR is inscribed in circle N as shown in the figure.

Also, ∠ROP = (x+17)°  and  ∠RQP = (6x-5)°.

We are to find the measure of ∠ROP.

Since quadrilateral OPQR is inscribed in a circle, so it is a cyclic quadrilateral.

We know that the sum of the measures of opposite angles of a cyclic quadrilateral is 180°.

So, in cyclic quadrilateral OPQR, we have

[tex]m\angle ROP+m\angle RQP=180^\circ\\\\\Rightarrow (x+17)^\circ+(6x-5)^\circ=180^\circ\\\\\Rightarrow (7x+12)^\circ=180^circ\\\\\Rightarrow 7x^\circ=168^\circ\\\\\Rightarrow x^\circ=\left(\dfrac{168}{7}\right)^\circ\\\\\Rightarrow x^\circ=24^\circ.[/tex]

Therefore, we get

[tex]m\angle ROP=(x+17)^\circ=(24+17)^\circ=41^\circ.[/tex]

Thus, the measure of angle ROP is 41°.

Option (A) is CORRECT.