In a petri dish, a certain type of bacterium doubles in number every 40 minutes.

There were originally 64 or 2 to the 6th power, bacteria in the dish. After 120 minutes, the number of bacteria has doubled 3 times, multiplying by 2 to the 3rd power

Now the population of bacteria is is 2 to the 6th power times 2 to the 3rd power. Expressed as a power, how many bacteria are in the petri dish after 120 minutes?


A. 2 to the 9th power
B. 2 to the 18th power
C.4 to the 9th power
D. 2 to the 3rd power

Answer: angle A is none of those

Step-by-step explanation:

the sum of all angles in a triangle = 180

one of the triangles is 90

we can form an equation:

90 + (x+69) + (x+39) = 180

90 + 2x + 108 = 180

198 + 2x = 180

2x = 180 - 198

2x = -18

x = - 9

angle A = x+39

substitute x = -9

angle A = -9 + 39 = 30

so angle A is none of those

Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.

Exponents of polynomials are whole numbers.

Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.

If an operation results in the production of another polynomial, the resulting polynomials will be closed.

The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.

The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.

To learn more about polynomials

brainly.com/question/27287760

#SPJ4

Given a Math exam with 7 short answer questions and Peter intending to answer three of them, there are a total of 35 different combinations of short answer questions he can choose.

To determine the number of combinations, we can use the concept of combinations in combinatorics. The formula for combinations is given by:

C(n, r) = n! / (r! * (n - r)!)

Where:

C(n, r) represents the number of combinations of choosing r items from a set of n items.

n! denotes the factorial of n, which is the product of all positive integers up to n.

In this case, Peter wants to answer three out of the seven questions, so we can calculate it as:

C(7, 3) = 7! / (3! * (7 - 3)!) = 7! / (3! * 4!)

Simplifying further:

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1

3! = 3 * 2 * 1

4! = 4 * 3 * 2 * 1

C(7, 3) = (7 * 6 * 5 * 4 * 3 * 2 * 1) / [(3 * 2 * 1) * (4 * 3 * 2 * 1)]

After canceling out common terms, we get:

C(7, 3) = 7 * 6 * 5 / (3 * 2 * 1) = 35

Therefore, there are 35 different combinations of short answer questions Peter can choose to answer.

Learn more about combinations in combinatorics here: brainly.com/question/13261685

#SPJ11

Answer:

-14x(-4)

Step-by-step explanation:

inverse operation i think its called

Answer: C: 64 cm

Step-by-step explanation:

The square has a a side of 4 centimeter meaning the area would be 16 cm. The area of the triangle is determined by half of the area of the base times the height. This mean that 4 x 6 = 24 and then 24/2 = 12. 4 x 12 = 48 (due to four triangles). 48 + 16 = 64. It is C: 64 cm

Answer:

16y^2-13y+6

Step-by-step explanation:

(2y-3)(3y-2)

you have to expand the brackets

to do this you have to times each expression by the other bracket

2y×3y=6y^2

2y×-2=-4y

-3×3y=-9y

-3×-2=6

if you put these together u get:

6y^2-4y-9y+6

because there are two pairs containing y we can simplify this

-4y-9y=-13y

so the answer is

6y^2-13y+6

\(6y^{2}-13y+6\)

\((2y-3)(3y-2)=\\2y(3y-2)-3(3y-2)\)

\(6y^{2}-4y-3(3y-2)\\6y^{2} -4y-9y+6\)

\(6y^{2} -4y-9y+6=\\6y^{2}-13y+6\)

So the answer  \((2y-3)(3y-2)\) is \(6y^{2}-13y+6\)

I hope this helped, if it displeased tell me what I did wrong so I can possibly fix it ૮ ˶ᵔ ᵕ ᵔ˶ ა

Step-by-step explanation:

\( = 15.6 \times 100 \div 43\)

\( = 36 \: million\)

To calculate the variable cost per unit using the high-low method, the change in total cost is divided by the change in activity level.

The high-low method is a cost analysis technique used to estimate the variable and fixed components of a mixed cost. It involves using the highest and lowest levels of activity to calculate the variable cost rate and then using this rate to estimate the fixed cost component.

To calculate the variable cost per unit using the high-low method, first, the total cost and activity level are recorded for the highest and lowest levels of activity. Then, the change in total cost is calculated by subtracting the total cost at the lower level of activity from the total cost at the higher level of activity. Similarly, the change in activity level is calculated by subtracting the lower level of activity from the higher level of activity. Finally, the change in total cost is divided by the change in activity level to obtain the variable cost per unit.

It is important to note that the high-low method assumes a linear relationship between cost and activity, which may not always hold true. Therefore, this method should be used with caution and other cost analysis techniques should also be considered.

To learn more about variable visit;

https://brainly.com/question/17344045

#SPJ11

Answer:

B is correct answer mark as brainliest answer

Answer 825

Step-by-step explanation:

275/2=137.5

137.5x6=825

The data on the times to perform a certain task can be fitted to a beta distribution. The beta distribution is a skewed distribution, which is consistent with the knowledge that the times are skewed to the right.

The mode of the beta distribution is the value that occurs with the highest probability, and in this case the mode is estimated to be 18. The range of the beta distribution is the interval of possible values, and in this case the range is estimated to be [13, 35].

The beta distribution is a continuous probability distribution that has two parameters, alpha and beta. These parameters control the shape of the distribution, and they can be estimated from the data. In this case, the mode of the distribution is known to be 18, so this value can be used to estimate alpha. The range of the distribution is also known, so this value can be used to estimate beta. Once the parameters have been estimated, the beta distribution can be used to generate a probability distribution for the times to perform the task.

This approach can be used to fit any skewed distribution to a beta distribution. The beta distribution is a flexible distribution that can be used to model a wide variety of data.

To learn more about beta distribution click here : brainly.com/question/29753583

#SPJ11

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

To learn more about factor click here

brainly.com/question/26923098

#SPJ11

Answer:

a) FC ←→ and BD ←→ are distinct lines that intersect.

b) B , C and D are distinct points that are collinear.

c) Another name for plane \(X\) is plane AEF.

d) E , A , F and C are distinct points that are coplanar.  

Step-by-step explanation:

The first step to solve this question is to look carefully at the picture.

For a) :

We can see that the line FC and the line BD intersect at the point C.

We can write :

a) FC ←→ and BD ←→ are distinct lines that intersect (we can see more lines that intersect with FC ←→ in the picture such as AC ←→  or AE ←→).

For b) :

We can see that the line BD ←→ passes through the points B , C and D (B , C and D are collinear points).  

We can write :

b) B , C and D are distinct points that are collinear.

For c) :

We can name any plane using three points which are contain in the plane but this three points must not be collinear points.

We can name the plane \(X\) using the points A , E and F (this is a possible solution).

We can write :

c) Another name for plane \(X\) is plane AEF.

Finally, for d) :

Two or more points are coplanar wherever they belong to the same plane.

In the picture, the points A , E , F and C belong to the plane \(X\).

We can write :

d) E , A , F and C are distinct points that are coplanar.

Answer:

b

Step-by-step explanation:

(50 +10) / ( 5+5)

Answer:

\(A=-3\)

\(C=6\)

\(B=4\)

\(D=9\)

Step-by-step explanation:

From the question we are told that:

Center of hyperbola at ( 6 , 9 )

Focus of hyperbola at ( 11 , 9 )

Vertex of hyperbola at ( 9 , 9)

Equation of hyperbola \(\frac{(x-C)^2}{A^2} -\frac{(y-D)^2}{B^2}=1\)

Generally the C and D of the hyperbola equation is mathematically given by

\(Centers (6,9)\)

\(C=6\)

\(D=9\)

Generally the A and B a of the hyperbola equation is mathematically given by

 \(A=x_c-x_v\)

 \(A=6-9\)

 \(A=-3\)

 \(C'=x_c-x_f\)

 \(C'=6-11\)

 \(C'=-5\)

Therefore with Center,Focus ,Vertex on the same line

 \(B^2=C'^2-A^2\)

 \(B^2=(-5^2)-(-3^2)^2\)

 \(B^2=(25)-(9)\)

 \(B^2=16\)

 \(B=4\)

Answer:

Step 3

Step-by-step explanation:

Answer:

step 3

Step-by-step explanation: 2 to the 3rd is 8 not 9

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.

To know more about Efficiency visit:

https://brainly.com/question/13222283

#SPJ11

Answer:

It is C, 66.67%

Step-by-step explanation:

they took my first answer off, so i came back. but honestly thank you for the points. have an amazing day!

Answer:

n= -2

Step-by-step explanation:

3(4n+5)=-7n-23

expand brackets

12n + 15 =-7n-23

collect like terms

12n + 7n= -23-15

19n= -38

dividing throughout by 19

19n/19=-38/19

n= -2

Answer:

n = -2

Step-by-step explanation:

3(4n+5)= -7n -23

Distribute the 3,

12n + 15 = -7n -23

subtract 15 from both sides,

12n = -7n -38

add 7n to both sides,

12n + 7n = -38

simplify,

19n = -38

divide both sides by 19,

n = -2

Answer: A) -8

B) - 41

C) - 39

Step-by-step explanation:

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Fixed costs= $7,900

Unitary cost per sandwich= $1.7

Selling price per unit= $7.75

To calculate the break-even point in units and dollars, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 7,900 / (7.75 - 1.7)

Break-even point in units= 1,306 sandwiches

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 7,900 / (6.05 / 7.75)

Break-even point (dollars)= $10,120

A distribution is a way of displaying data, consisting of three primary components: shape, center, and spread. The shape is the overall pattern of the distribution, while the center is the point where the distribution is balanced. The spread is the range of values of the data, often measured by the standard deviation or the interquartile range (IQR). The distribution can be visualized through graphs like histograms, box plots, or scatter plots.

A brief description of a distribution should include its shape, center, and spread. The spread is the term that should be included in the blank space.A distribution can be described as a way of displaying data. It gives us an idea about how the data are spread out.

The three primary components of any distribution are the shape, center, and spread. Shape refers to the overall pattern of the distribution. It tells us whether the data are symmetric or skewed. The symmetry means that the left half of the distribution is a mirror image of the right half, whereas a skewed distribution is not symmetrical. The tail of a distribution describes the spread of a skewed distribution. It refers to the parts of the distribution that extend out from the center of the graph.The center refers to the point where the distribution is balanced. In symmetric distributions, the center is the same as the mean and median. However, in a skewed distribution, the mean and median differ from each other.

The spread refers to the range of values of the data. It tells us how much the data are scattered or spread out. A small spread indicates that the data points are close to each other, while a large spread suggests that the data points are far from each other. It is often measured by the standard deviation or the interquartile range (IQR).The distribution of data can be visualized through different graphs like histograms, box plots, or scatter plots.

To know more about distribution Visit:

https://brainly.com/question/29664850

#SPJ11

The z-score of x = -2, if it is 2.78 standard deviations to the left of the mean, is D. More than 2.5.

A z-score is a measure of how many standard deviations a data point is from the mean. In this case, the data point x = -2 is 2.78 standard deviations to the left of the mean. This means that the z-score is -2.78. Since the absolute value of -2.78 is greater than 2.5, the correct answer is D. More than 2.5.

Here's how to calculate the z-score:

z = (x - μ) / σ

where z is the z-score, x is the data point, μ is the mean, and σ is the standard deviation.

In this case, we are given that x = -2 and that it is 2.78 standard deviations to the left of the mean. This means that:

z = -2.78

So the z-score is -2.78, which is greater than 2.5 in absolute value. Therefore, the correct answer is D. More than 2.5.

know more about standard deviations here

https://brainly.com/question/23907081#

#SPJ11

Answer:

x = 17

Step-by-step explanation:

x ^2 = 8^2+ 15^2

√x^2 =√64+225

x=17

Answer:

17cm.

Step-by-step explaination:

The given triangle is a right angled triangle.

Using Pythagorean Theorem,

a² + b² = c²

Putting the given values in the equation;

(15)² + (8)² = c²

225 + 64 = c²

289 = c²

17² = c² (square root of 289 = 17)

17 = c

c = 17

Therefore, the missing side of the triangle is equal to 17 cm.

The probability of getting a total of 8 is 1/9 or 0.111. The probability of getting two up faces that are the same is 1/6 or 0.167. The combined probability is 0.278

This can be calculated by adding the individual probabilities together.  To get the probability of getting a total of 8, we need to look at the different combinations that add up to 8. There are nine possible combinations (1+7, 2+6, 3+5, 4+4, 5+3, 6+2, 7+1).

Therefore, the probability of getting a total of 8 is 1/9 or 0.111.  To get the probability of getting two up faces that are the same, we look at the different combinations of two dice. There are six possible combinations (1+1, 2+2, 3+3, 4+4, 5+5, 6+6).

Therefore, the probability of getting two up faces that are the same is 1/6 or 0.167.  The combined probability of getting a total of 8 or two up faces that are the same is 0.278. This can be calculated by adding the individual probabilities together (0.111 + 0.167 = 0.278).

To know more about probability  refer to the  link brainly.com/question/11234923

#SPJ4

Answer:

The inequality for x is x > 36

(In interval notation form it is (36, ∞)

Step-by-step explanation:

Multiply to remove the fraction, then set equal to zero and solve.

Hope this helped you!

Please consider giving brainliest!

Dont forget to give a rating and leave a thanks.

The value of x from the given circle is 5.

Using segments relation in the given circle, we get

AC×AB=AE×AD

Here, AC=AB+BC=x-2+x+4

= 2x+2

AE=AD+ED

= 4+5

= 9

Now, AC×AB=AE×AD

(2x+2)×(x-2)=9×4

2x²+2x-4x-4=36

2x²-2x-4=36

2x²-2x-4-36=0

2x²-2x-40=0

x²-x-20=0

x²-5x+4x-20=0

x(x-5)+4(x-5)=0

(x-5)(x+4)=0

x=5

Therefore, the value of x from the given circle is 5.

To learn more about the circle theorems visit:

https://brainly.com/question/19906313.

#SPJ1