A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graph
models the function?

Answers

Answer 1

Answer:

The function is y = 40 * 2^(x/2)

The graph is in the image attached

Step-by-step explanation:

The function that models this growth is an exponencial function, that can be described with the following equation:

y = a * b^(x/n)

Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).

Then, using a = 40, r = 2 and n = 2, we have:

y = 40 * 2^(x/2)

If we plot this function, we have the graph shown in the image attached,

It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.

A Function Models The Growth Of A Sample Starting With 40 Bacteria With The Ability To Double Every Two
Answer 2

Answer:

b

Step-by-step explanation:

edge2020


Related Questions

Need help please ???

Answers

Answer:

i believe the answer is 0.75

Step-by-step explanation:

i used siri

The measure of angle JKL can be represented using the expression 3x + 5. Point K has three lines extending from it. One line extends to point J, another to point M, and the other to point L. Angle J K M is 45 degrees. Angle M K L is x degrees. What is the degree measure of AngleJKL? °

Answers

Answer:

its 65

Step-by-step explanation:

The measure of ∠JKL = 3 x 20 + 5 = 65 degrees.

We have three lines extending from point K such that one line extends to point J, another to point M, and the other to point L.

We have to determine the degree measure of ∠JKL .

Define Angle.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

According to the question, we have -

Measure of ∠JKL = 3x + 5

Measure of ∠JKM = 45 degrees

Measure of ∠MKL = x degrees

Refer to the image attached for more clarity. It can be seen from the image that -

∠JKL = ∠JKM + ∠MKL

3x + 5 = 45 + x

3x - x = 45 - 5

2x = 40

x = 20

Therefore, the measure of ∠JKL = 3 x 20 + 5 = 65 degrees.

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acute angle of rhombus whose side is a mean proportional between the diagonal is mean proportional of a and b is root ab​

Answers

Answer:

Step-by-step explanation:

square roots of 263 by division method ​

Answers

Answer:

no whole number

Step-by-step explanation:

263 is a prime number, so it can be divided only by 1 and 263. So, no whole number will be square root for 263.

Enter the equation for the graph.

Answers

Answer:

y = cos x

Step-by-step explanation:

The graph begins at (0, 1) and completes its first period at (2π, 1)  Thus the period of this function is 2π.  The amplitude is 1; this is the value that y takes on when x = 0.

Thus the equation of this graph is y = 1cos x, or y = cos x.

Joe wants to carpet a floor of a bedroom. A floor plan is shown. Find the amount of carpet he will need in the car if it is $3 per square foot

Answers

Answer:

Step-by-step explanation:

So basically, what you have to do is first find the area of the floor. The area can be split into 3 shapes, a quarter of a circle, a square, and a rectangle.

Quarter of circle: (3.14r^2)/4

3.14(100)/4

314/4

78.5

Square: s^2

100

Rectangle: lw

600

Total: 78.5+100+600

778.5

Cost: $2335.50

Find the slope of the line that passes through (3, 7) and (6, 8).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

Slope = 1/3

Step-by-step explanation:

Step 1: Define general form of equation of line

An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept

Step 2: Set up the system to solve for slope M of equation of line

That equation passes 2 points, which are represented in form of (x, y), (3, 7) and (6, 8).

Substitute these values of x and y into the original equation in step 1:

7 = 3M + b

8 = 6M + b

Step 3: Solve the system of equations in step 2 for M

Subtract 1st equation from 2nd equation:

8 - 7 = 6M - 3M + b - b

Simplify both sides:

1 = 3M

Divide both sides by 3:

=> M = 1/3

Hope this helps!

:)

Answer:

[tex]slope = \frac{1}{3} [/tex]

Step-by-step explanation:

[tex](3 \: \: \: ,\: \: \: 7) = > (x1 \: \: \: ,\: \: \: x2) \\ (6 \: \: \: ,\: \: \: 8) = > (y1 \: \: \: \: , \: \: \: y2)[/tex]

[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{7 - 8}{3 - 6} \\ = \frac{ - 1}{ - 3} \\ = \frac{1}{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Which of the following r one dimensional figures?
check all that apply.
a. ray
b. angle
c. square
d. point
e. segment
f. line

Answers

Answer:

a. ray

e. segment

f. line

Step-by-step explanation:

Info on dimensions:

A Point has no dimensions A Line is one-dimensional A Plane is two dimensionalA Solid is three-dimensional

Let's see number of dimensions of figures:

a. ray

One dimension

b. angle

Two dimensions

c. square

Two dimensions

d. point

Zero dimension

e. segment

One dimension

f. line

One dimension

Two statements are given-one labeled Assertion (A) and the other labeled Reason(R). Select the correct answer to these questions from the codes (i), (ii), (iii) and (iv) as given below i) Both A and R are true and R is the correct explanation of the assertion ii) Both A and R are true and R is not the correct explanation of the assertion iii) A is true but R is false iv) A is false but R is true Assertion: Calcium oxide reacts vigorously with water to produce calcium hydroxide, releasing a large amount of heat. Reason: The above reaction is a combination reaction as it gives only a single product.

Answers

Answer:  i) Both A and R are true and R is the correct explanation of the assertion

Step-by-step explanation:

When Calcium Oxide (Quick lime) reacts with water, it is a very rigorous reaction that produces a lot of heat and may even boil the water or burn the skin if it comes into contact with it. The resulting compound is Calcium Hydroxide. The Assertion is therefore true.

A Combination reaction does indeed result in only a single product being created or formed after a reaction. The above reaction is indeed a Combination reaction due to the production of only one Compound being Calcium Hydroxide.

Please help! Correct answer only!


In a raffle, one ticket out of 1,000 will win a $870 prize, one ticket will win a $820 prize, and one ticket will win a $740 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?

Answers

Answer:

" Expected Payoff " ⇒ $ 1.56 ; Type in 1.56

Step-by-step explanation:

Consider the steps below;

[tex]Tickets That Can Be Entered - 1 Ticket,\\Total Tickets Entered - 1000 Tickets,\\\\Proportion - 1 / 1000,\\Money One ( First Ticket ) = 820 Dollars,\\Money One ( Second Ticket ) = 740 Dollars,\\\\Proportionality ( First ) - 1 / 1000 = x / 820,\\Proportionality ( Second ) - 1 / 1000 = x / 740\\\\1 / 1000 = x / 820,\\1000 * x = 820,\\x = 820 / 1000,\\x = 0.82,\\\\1 / 1000 = x / 740,\\1000 * x = 740,\\x = 740 / 1000,\\x = 0.74\\\\Conclusion ; " Expected Payoff " = 0.82 + 0.74 = 1.56[/tex]

Solution; " Expected Payoff " ⇒ $ 1.56

Can u guys PLEASE answer this question ASAP.

which of the two points M(3,6) and N(6,-4) is closer to P(-2,-1)

Answers

Answer:

n

Step-by-step explanation:

Answer:

[tex]\fbox{\begin{minipage}{11em}N is closer to P than M\end{minipage}}[/tex]

Step-by-step explanation:

Step 1: Define the way to calculate distance between 2 points in two-dimensional (2D) plane

Supposing that there are two points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] on 2D plane.

The distance [tex]d[/tex] between these two points is calculated by:

[tex]d = \sqrt{(x_{1} - x_{2}) ^{2} + (y_{1} - y_{2})^{2} }[/tex]

Step 2: Calculate the distance [tex]d_{1}[/tex] between [tex]M(3, 6)[/tex] & [tex]P(-2, -1)[/tex] and distance [tex]d_{2}[/tex] between [tex]N(6, -4)[/tex] and [tex]P(-2, -1)[/tex]

Applying the formula in step 1:

[tex]d_{1} = \sqrt{(3+ 2) ^{2} + (6 + 1)^{2} } = \sqrt{25 + 49} = \sqrt{74}[/tex]

[tex]d_{2} = \sqrt{(6+ 2) ^{2} + (-4 + 1)^{2} } = \sqrt{64 + 9} = \sqrt{73}[/tex]

Step 3: Compare and conclude

Because [tex]\sqrt{73} < \sqrt{74}[/tex]  =>  [tex]d_{2} < d_{1}[/tex] => N is closer to P than M

Hope this helps!

:)

How many terms does the polynomial x² + xy y2 have?
1 term
2 terms
3 terms
4 terms

Answers

Answer:

Step-by-step explanation:

x^2 + xy + y^2 has 3 terms they are:

x^2,   xy, and y^2

hope it helps

plz mark as brainliest!!!!!!!!!!

The polynomial x²+xy+y² has 3 terms. Option C is correct.

What exactly is a polynomial?

A polynomial is an algebraic statement made up of variables and coefficients.

Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.

Given polynomial;

⇒x²+xy+y²

The three terms are as follows;

xy

The polynomial x²+xy+y² has 3 terms.

Hence, option C is correct.

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What is the value of the expression below?
7-2-4.5x3-8


Answers

Answer:

6.5

Step-by-step explanation:

7-2=5-4.5=0.5

0.5ₓ3=1.5

8-1.5=6.5

which of the following represents this function written in intercept form? y=-x^2-x+6

Answers

Answer:

Step-by-step explanation:

-(x-2)(x+3)

A clothing company sells slacks that are either blue or gray and pleated or non-pleated. Last month, the company sold 5 times as many pairs of blue pleated slacks as gray pleated slacks, and it sold twice as many pairs of gray non-pleated slacks as blue non-pleated slacks. If it sold 333 pairs of blue slacks and 225 pairs of gray slacks, how many pairs of blue non-pleated slacks did it sell?

Answers

Answer:

138 pairs

Step-by-step explanation:

The number of blue pleated slacks is 5 times the number of gray pleated slacks, so:

[tex]blue\ pleated = 5 * gray\ pleated[/tex] (eq1)

The number of gray non-pleated is twice the number of blue non-pleated slacks, so:

[tex]blue\ nonpleated = 2 * gray\ nonpleated[/tex] (eq2)

The total number of blue slacks is 333, and the total number of gray slacks is 225, so we have that:

[tex]blue\ pleated + blue\ nonpleated = 333[/tex] (eq3)

[tex]gray\ pleated + gray\ nonpleated = 225[/tex] (eq4)

If we add (eq1) and (eq2), we have:

[tex]blue\ pleated + blue\ nonpleated = 5*gray\ pleated + 2*gray\ nonpleated[/tex] (eq5)

Using (eq3) and (eq4) in (eq5), we have:

[tex]333 = 2*225 + 3*gray\ pleated[/tex]

[tex]gray\ pleated = 117/3 = 39[/tex]

From (eq1), we have:

[tex]blue\ pleated = 5*39 = 195[/tex]

From (eq3), we have:

[tex]blue\ nonpleated = 333 - 195 = 138[/tex]

Answer:

88

Step-by-step explanation:

Given a right triangle with sides a = 3 , b = 4, and c = 5. Find the missing side c of another right triangle with a = 6 and b = 8 ? Explain your answer.Plz u will lots of point

Answers

c = 10

Step-by-step explanation:

We can find out the missing side of a right triangle by using the Pythagorean theorem.

The Pythagorean theorem is...

[tex]a^2+b^2=c^2[/tex]

We can even double check the first problem by plugging in everything into the theorem and solving, everything will come out correct. We can plug in the numbers from the second problem into the theorem and find c, also please note that the hypotenuse of a triangle will always be c. It doesn't matter which you put in for a or b, but since the problem gives us which one is a and which one is b, I'll just be plugging it in like that.

[tex]6^2+8^2=c^2[/tex]

[tex]36+64=c^2[/tex]

[tex]100=c^2[/tex]

A lot of people will stop here and think that the answer is 100, but you need to find the square root of 100, since c is squared. The square root of 100 is 10, so...

c = 10

solve the following simultaneous linear equation x+2y=5 and x+3y=8​

Answers

Answer:

x= -1, y= 3

Step-by-step explanation:

First, label the 2 equations.

x +2y= 5 -----(1)

x +3y= 8 -----(2)

(2) -(1):

x +3y -(x+2y)= 8 -5

x +3y -x -2y= 3

y= 3 (simplify)

subst. y=3 into (1):

x +2(3)= 5

x +6= 5

x= 5 -6 (bring constant to 1 side)

x= -1

CAN I HAVE AN ANSWER PLEASE?
Jasmine is traveling at 45 miles per hour. At that same rate, which of the following proportions could be used to find how long it will take her to travel 135 miles?

1. 45 miles / 1 hour = n hours/135 miles
2. 45 miles/n hours = 135 miles/1 hour
3. 45 miles /1 hour = n miles /135 hours
4. 45 miles/1 hour = 135 miles/n hours

Answers

Answer:

3 hours

Step-by-step explanation:

 Jasmine's hourly distance covered (her rate of travel) is 45 mi / hr.

   45 miles       135 miles

   -------------- = ----------------

       1 hour               x

Cross-multiplying, we get 45x = 135, or x = 3 hours

Helena lost her marbles. But then she found them and put them in 4 bags with mmm marbles in each bag. She had 3 marbles left over that didn't fit in the bags. How many marbles does Helena have in all? Write your answer as an expression.

Answers

Answer:

She had four marbles in four bags. 4m. She had three more marbles.

Step-by-step explanation:

4y+3

Answer:

4m+3

Step-by-step explanation:

I had this same answer in Kahn and got it right

The half-life a particular radioactive substance is 6 seconds. If you started with 50 grams of this substance, how much of it would remain after 30 seconds?

Answers

Answer:

1.5625g would remain after 30 seconds

Step-by-step explanation:

When we talk about half life, we are talking about the time taken for exactly half of the mass of the radioactive mass in question to have disintegrated.

More like, the amount of time it takes for the radioactive mass to have lost exactly half of its mass

Now, the half life of the substance in question is 6 seconds and we have to calculate the mass that would remain after 30 seconds. What this means is that we would have a disintegration of 5 times, meaning 5 half lives.

Since it is just 5 half lives, we can proceed manually

In the first, we shall have 25g left

in the second, we shall have 12.5g left

In the third, we shall have 6.25g left

In fourth, we shall have have 3.125g left

and finally, in the fifth, we shall have 1.5625g

Connor and Matthew each live in a different city. Each Thursday for ten weeks, they recorded the high temperature. The data below is the high temperature, in Fahrenheit, that they recorded. Connor's data: 50, 51, 50, 66, 60, 66, 71, 70, 72, 65, and 70. Matthew's data: 72, 82, 76, 84, 77, 73, 70, 67, 67, 56, and 65. What is the range of temperatures in Connor's data?

Answers

Answer:

22

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range.

Hope this helps,

plx give brainliest

Answer:

For Connor the range is 21

Subtract the highest to the lowest

[tex]71-50=21[/tex]

Hope this helps

If incorrect try 22 :)

we can describe 15×-10 as an expression. we would describe 6×-2< 35 as an...

Answers

Answer: Inequality

Step-by-step explanation:

From the question, if we can describe 15×-10 as an expression, then we would describe 6×-2< 35 as an inequality. An

inequality is used to compare two values, and shows if one is less than, or greater than, or maybe not equal to the other value.

For example, a ≠ b means that a is not equal to b and a < b means a is less than b while a > b means a is greater than b. From the question, 6×-2< 35 means that 6x - 2 is less than 35.

Se sabe que el 20% de todas las personas a quienes se administra cierto medicamento se siente muy mal en 2 minutos; encuentra la probabilidad de que entre 14 personas a las que se les administra este medicamento: a) A lo sumo 2 se sientan muy mal en dos minutos b) Por lo menos 5 se sientan muy mal en dos minutos c) De 2 a 4 se sientan muy mal en dos minutos

Answers

Answer:

a) 0.4481

b) 0.1298

c) 0.6722

Step-by-step explanation:

English Translation

It is known that 20% of all people given a certain medicine feel very bad in 2 minutes; Find the probability that among 14 people who are given this medicine:

a) At most 2 feel very bad in two minutes

b) At least 5 feel very bad in two minutes

c) From 2 to 4 they feel very bad in two minutes

Solution

This is a binomial distribution problem

A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.

It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure.

The outcome of each trial/run of a binomial experiment is independent of one another.

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 14

x = Number of successes required

p = probability of success = probability of feeling bad after taking the medicine = 20% = 0.20

q = probability of failure = probability of NOT feeling bad after taking the medicine = 1 - 0.20 = 0.80

a) At most 2 feel very bad in two minutes

P(X ≤ 2) = P(X=0) + P(X=1) + P(X=2)

= 0.04398046511 + 0.15393162789 + 0.25013889532 = 0.44805098832 = 0.4481

b) At least 5 feel very bad in two minutes

P(X ≥ 5) = 1 - P(X < 5) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4)]

= 1 - [0.04398046511 + 0.15393162789 + 0.25013889532 + 0.25013889532 + 0.17197049053] = 0.12983962583 = 0.1298

c) From 2 to 4 they feel very bad in two minutes

P(2 ≤ X ≤ 4) = P(X=2) + P(X=3) + P(X=4)

= 0.25013889532 + 0.25013889532 + 0.17197049053 = 0.6722482811 = 0.6722

Hope this Helps!!!

Solve -3(x-2)<8 or -3(x-2) > 12

Answers

Answer:

x = (14/3,6)

Step-by-step explanation:

-3(x-2) < 8

taking negative sign to opposite side relational operator changes.

3(x-2) >8

Similarly

3(x-2)<12

Now

8< 3(x-2) < 12

dividing by 3

8/3 < x-2 < 4

adding 2

8/3 +2 < x < 6

Therefore x = (14/3, 6)

Hope it helps ...

it’s two multi choice questions please help

Answers

Answer:

see below

Step-by-step explanation:

a) They could be congruent because having the same angles doesn't necessarily mean that they are congruent.

b) These triangles are  congruent by ASA because using the sum of angles in a triangle they have the same angles and one congruent side.

Answer:

a) F

b) C

Step-by-step explanation:

Brainliest please?

For a) it only tells you all the angles, which makes them similar triangles, but none of the sides are given, so it cannot be determined whether they are congruent.

For b) it is not to scale and using a little subtraction, you can quickly use the fact that there are 180 degrees in a triangle, you can determine that the 2 triangles have the same angles, with the side with 9.2 cm between 58 and 68 degree vertices on both triangles, making the 2 triangles congruent by ASA.

QED

Cosine 73 degrees, round to the nearest ten thousandth.

Answers

Answer:

0.2924

Step-by-step explanation:

Use a calculator.

cos 73 deg = 0.2924

0.2924 use a calculator

Which statement regarding the diagram is true?
m2WXY = m_YXZ
m2WXY < m_YZX
m2WXY + m2YXZ = 180°
m2WXY + m_XYZ = 180°

Answers

Answer: C.   angle WXY + angle YXZ = 180 degrees

Explanation:

These two angles are a linear pair. They are supplementary (ie they add to 180) and they are adjacent. We know they are supplementary because line WXZ is a straight line. Put another way: point X is on line WZ.

-------

Side notes:

Choice A is only true if we have a 90 degree angle at point XChoice B is never true because of the remote interior angle theoremChoice D is only true if we have an isosceles triangle with XZ = YZ.

The correct statement is,

⇒ m ∠WXY + m ∠YXZ = 180°

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

To find the correct statement.

Now, We can find the correct statement as;

By definition of linear pair we get;

⇒ m ∠WXY + m ∠YXZ = 180°

Thus, The correct statement is,

⇒ m ∠WXY + m ∠YXZ = 180°

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G(x)=3x^2-12x+8 maximum or minimum

Answers

Answer:

Minimum

Explanation:

This is what the graph looks like. As you can see, there is no point lower than y=-4. That means the graph has a minimum rather than a maximum.

Here's a shortcut! If the coefficient of x² is positive, the graph has a minimum point. If the coefficient is negative, the graph has a maximum point.

what is (13X + 9k)+(17x +6k), simplified?

Answers

Answer:

(45x)

Step-by-step explanation:

(13x+9x) + (17x+6x)

(22x) + (23x)

(45x)

// have a great day //

it would be 45x. move all the x's to one side and add the variables

Which side of XYZ is the longest?
262
63
X
A. XY
B. XZ
C. YZ
o
D. Cannot be determined

Answers

Answer:

A. XY

Step-by-step explanation:

XY because it's opposite to the greatest angle.

Answer:

A.XY

Step-by-step explanation:

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