If bacteria have a growth rate of 100% every 20 minutes, how many will
there be after 120 minutes if you started with 1 bacteria?

Answer:

60xcm^3

Step-by-step explanation:

6 times 10 times x

60x

To find the slope it is necessary to use the equation:

Given the points, use them to find the slope

y2=8 x2=10

y1=13 x1=1

The slope is -5/9

Answer:

\( \sf \: a) \: 27 = 9p \: ; p = 3\)

Step-by-step explanation:

Given information,

→ Simon have 27 pieces of candy.

→ Each person will get 9 pieces.

Now we have to,

→ Find the required equation.

The equation will be,

→ 27 = 9p

→ 9p = 27

=> As each person (p) gets 9 pieces.

Then the value of p will be,

→ 9p = 27

→ p = 27 ÷ 9

→ [ p = 3 ]

Hence, option (a) is correct.

The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

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Step-by-step explanation:

a

2/3 of 14 kg.

that means multiplying 2/3 × 14 = 28/3.

now we only need to do the division with remainder.

how often does 3 fit into 28 ? 9 times (9×3 = 27).

and then there is 1 left. and that means 1/3, since we are dividing by 3.

so, 2/3 of 14 kg = 9 1/3 kg

b

3/5 × 18

simply multiplication

54/5

and again division with remainder.

how often does 5 fit into 54 ? 10 times (10×5 = 50).

and there are 4 left. for a divisible by 5 that means 4/5.

so, 3/5 × 18 = 10 4/5

c

7/8 × 22

simply multiplication

154/8

again division with remainder.

how often does 8 fit into 154 ? 19 times (19×8 = 152).

and there are 2 left. so, 2/8 or 1/4.

so, 7/8 × 22 = 19 1/4

d

14 + 4/5

how many 1/5 are in 1 ? 5 !!! that defines the size of 1/5, because it is 1/5 of the whole, and the whole is 5/5 or 5×1/5.

so, if 1 has 5 times 1/5, how many 1/5 are in 14 ? well, 14×5 = 70

so, 14 = 70/5

and therefore,

14 + 4/5 = 70/5 + 4/5 = 74/5 = 14 4/5

surprise, surprise !

when we write something like 14 4/5, it has exactly the meaning 14 + 4/5.

but if the symbol was "÷" instead of "+" (it is really not to see in that picture) :

14 ÷ 4/5

remember, a division by a fraction is the same as the multiplication with the upside-down fraction :

14 × 5/4 = 70/4

how often does 4 fit into 70 ? 17 times (17×4 = 68).

and there are 2 left. that means 2/4 or 1/2.

14 ÷ 4/5 = 17 1/2

e

as for d.

if the operation is "+" then the result is for the same reasons 24 12/19.

if the operation is "÷" then we have

24 ÷ 12/19 = 24 × 19/12 = 2 × 19 = 38

The probability that a randomly selected woman has a systolic blood pressure greater than 131 is approximately 0.0228. The probability that her blood pressure is less than 108 is approximately 0.0228. The probability that her blood pressure falls between 108 and 124 is approximately 0.4772.

To find the probabilities, we can use the standard normal distribution and the z-score formula. The z-score measures the number of standard deviations a particular value is away from the mean.

(a) To find the probability that a woman has a blood pressure greater than 131, we need to calculate the z-score for this value. The z-score formula is given by (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get (131 - 116) / 9 = 1.6667. Using a standard normal distribution table or calculator, we can find that the probability corresponding to a z-score of 1.6667 is approximately 0.9522. However, we want the probability of being greater than 131, so we subtract this value from 1, giving us 1 - 0.9522 = 0.0478, rounded to 0.0228.

(b) To find the probability that a woman has a blood pressure less than 108, we follow a similar process. The z-score is (108 - 116) / 9 = -0.8889. Using the standard normal distribution table or calculator, we find that the probability corresponding to a z-score of -0.8889 is approximately 0.3121. Therefore, the probability of having a blood pressure less than 108 is 0.3121.

(c) To find the probability of the blood pressure falling between 108 and 124, we calculate the z-scores for both values. The z-score for 108 is (-8) / 9 = -0.8889, and the z-score for 124 is (124 - 116) / 9 = 0.8889. Using the standard normal distribution table or calculator, we find the corresponding probabilities for these z-scores, which are 0.3121 and 0.8121, respectively. To find the probability of falling between these two values, we subtract the smaller probability from the larger one, giving us 0.8121 - 0.3121 = 0.5. Therefore, the probability of having a blood pressure between 108 and 124 is 0.5, or 0.4772 when rounded to four decimal places.

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Answer: The answer is 131 ft.

Step-by-step explanation:

The gazebo staying in the centre of the circular lawn forms an sector with the two paths that are 75 degrees to each other. The formula for length of an arc of a sector which is the distance between the two paths is \frac{angle}{360} * 2\pi * radius\\radius = \frac{diameter}{2} = \frac{200}{2} = 100 ft\\ angle = 75 degrees.\\

Inserting these we have \frac{75}{360} * 2\pi * 100 = 130.8996 = 131 ft.

~Adrianna

Step-by-step explanation:

The first composite shape is a combination of a rectangular prism and a pyramid. To find the volume of the entire shape you find the volume of each individual shape and add them together. The second figure consists of a cylinder and a hemisphere.

Hope that helps :)

Answer:

3*2 = 6+9 = 15

Step-by-step explanation:

The required number is 2.

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, nine more than three times a number is fifteen

Let the number be a

Converting the statement into mathematical expression,

9+3a = 15

3a = 6

a = 2

Hence, The required number is 2.

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Answer:

I believe your answer would be Soundis

Answer:

A material through which sound waves can travel is called a medium.

Answer:

x = -1/2

Step-by-step explanation:

Given:

Inequality 4 ≥ 2 - 4x

Find:

Value of x

Computation:

4 ≥ 2 - 4x

4x ≥ -2

x ≥ -1/2

x = -1/2

Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.

A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.

Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.

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The angles formed by the bisector are equal in measure, adjacent, supplementary, form a linear pair, and are congruent.

When a line bisects an angle, it divides the angle into two equal parts. The resulting angles have several properties

They have equal measures: The two angles formed by the bisector have the same degree measurement.

They are adjacent: The two angles share a common side and vertex.

They are supplementary: The sum of the two angles formed by the bisector is 180 degrees.

They form a linear pair: The two angles, together with the adjacent angle on the other side of the bisector, form a straight line or a linear pair.

They are congruent: The two angles formed by the bisector are congruent to each other.

These properties are useful in solving problems involving angle bisectors in geometry.

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I have solved the question in general, as the given question is incomplete.

The complete question is:

What are some properties of the angles formed by the bisector?

Once you have the probability and payout odds, you can use the above steps to determine the casino's expected gain/lose when 1000 people play the same bet throughout the day.

To accurately answer this question, more information is needed about the specific bet and the casino's odds for that bet.

However, I can help you determine the expected gain/lose once you provide the necessary information.
Step 1: Determine the probability of the bet outcome (win/lose) and the payout odds for each outcome.
Step 2: Calculate the expected gain/lose for a single bet by multiplying the probability of each outcome by its respective payout.
Step 3: Multiply the expected gain/lose per bet by the number of people (1000) to find the total expected gain/lose for the casino.

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Answer:

\(x = 40.\)

Step-by-step explanation:

\(if \: \: y = kx \: then \\ k = y \div x \: and \: x = y \div k \\ so \: k = 0.6 \: and \: x = 40 \: when \: y \: is \: 24.\)

Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

We will have the following:

We can see that the function follows a path of exponential decay, so the expression that models it is:

Answer: $732

Step-by-step explanation:

If the band performs 3 wedding a week where they make $350 per performance, the total revenue they make is:

= 350 * 3

= $1,050

Cost in total will be:

= 106 * 3

= $318

Profit = Revenue - Cost

= 1,050 - 318

= $732

Answer:

Step-by-step explanation:

\(a^{m}* a^{n}=a^{m+n}\\\\\\(\frac{-1}{2})^{-19}*(\frac{-1}{2})^{8}=(\frac{-1}{2})^{-2x +1}\\\\(\frac{-1}{2})^{-19+8}=(\frac{-1}{2})^{-2x+1}\\\\\\(\frac{-1}{2})^{-11}=(\frac{-1}{2})^{-2x+1}\)

As bases are equal in boht sides, we can compare the exponents.

-2x + 1 = -11

Subtract 1 form both sides

-2x = -11 - 1

-2x = -12

Divide both sides by -2

x = -12/-2

x = 6

(a) Limitations: Assumes reversible process, constant heat capacity.

(b) Limitations: Assumes constant T and P, and independent DH and DS with temperature.

(c) Limitation: Assumes non-expansion conditions, may not account for volume changes in real scenarios.

Answer:

3 5,7,9,11,13,16,17 19,21,23,25,27,29

Answer: 5

Step-by-step explanation: Substitute the value of the variable into the expression and simplify

The mean height for both groups put together is 161.75 cm

To find the mean height for both groups put together, we need to calculate the overall mean of all the heights. We can do this by finding the total height of all the men and women and then dividing the total number of people in the sample.

For the men, the mean height was 178 cm. There were 18 men in the sample, so the total height of all the men would be 178 cm x 18 = 3,204 cm.

For the women, the mean height was 152 cm. There were 30 women in the sample, so the total height of all the women would be 152 cm x 30 = 4,560 cm.

To find the total height of all the people in the sample, we can add the total height of the men and the total height of the women: 3,204 cm + 4,560 cm = 7,764 cm.

To find the mean height for both groups put together, we need to divide the total height by the total number of people in the sample. In this case, there were 18 men + 30 women = 48 people in the sample. So, the mean height for both groups put together would be 7,764 cm ÷ 48 = 161.75 cm.

Therefore, the mean height for both groups together is 161.75 cm.

It's important to note that this calculation assumes that the samples are representative of the larger population and that the samples were selected randomly. Additionally, the sample size is relatively small, so the results may not be entirely accurate or representative. However, the calculation gives us a rough estimate of the mean height for both groups put together.

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Answer:

Step-by-step explanation:

The formula for the area of a sector is

\(A=\frac{\theta}{360}*\pi r^2\) where θ is the measure of the central angle and r is the radius.

Our central angle is a right angle and the radius is 4, so filling in the formula looks like this:

\(A=\frac{90}{360}*\pi (4)^2\) and

\(A=\frac{1}{4}*\pi (16)\)

16 divides by 4 evenly, so

A = 4π.in²

If we multiply 4 by the value of π and then round, that number, to the nearest hundredth, is

A = 12.57 in²

Step-by-step explanation:

The altitude drawn at Right angles is the perpendicular bisector of the hypotenuse (opposite side). The area of ​​the Right Isosceles Triangle is given as (1/2) × Base × Height of square units

The given function y = 3.28x converts length from x meters to y feet.

To graph the function, we can plot a few points and connect them.

Here are some points that we can plot:

x (meters) y (feet)0 03.28 10.7613.12 42.9456.56 214.5489.14 299.8720 65.6160 524.9340.3048 1

Since y depends on x, x is the independent variable, and y is the dependent variable.

We can see that as the value of x increases, so does the value of y, which means that the graph slopes upward

The domain of a function is the set of all values that the independent variable can take on. Since we can have any positive value of x (in meters), the domain of this function is continuous.

In conclusion, the given function y = 3.28x converts length from x meters to y feet. x is the independent variable, and y is the dependent variable. The graph of the function slopes upward, indicating that as x increases, y also increases. The domain of the function is continuous because x can take on any positive value.

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The net force acting on the object is 3456 N, the objective with an acceleration.

The net force applied to an object is equal to the product of its mass and acceleration, according to Newton's second law of motion. Mathematically, this can be represented as:

Fnet = ma

Where Fnet is the net force, m is the mass, and a is the acceleration. In your scenario, the net force applied to the object is 125 N, and its acceleration is 24.0 m/s2. Therefore, we can rearrange the formula and solve for the mass of the object as follows:

m = Fnet / a
m = 125 N / 24.0 m/s2
m = 5.21 kg

However, this answer does not match the given mass of the object, which is 144 kg. This suggests that there may be an error in one of the values provided. Assuming the mass of the object is actually 144 kg, we can use the same formula to solve for the net force acting on it as follows:

Fnet = ma
Fnet = 144 kg * 24.0 m/s2
Fnet = 3456 N

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The mass of an object with net force value = 125 Newton and acceleration of 24.0 m/s² is equals to the 5.208 kg. So, option(c) is right one.

The force formula is derived by Newton's second law of motion. The basic formula force applied on object is F = ma, which implies that net force is equals to product of mass and acceleration of an object. We have an object with the following information, Net applied force on object, F = 125 N

Acceleration of an object, a = 24.0 m/s²

We have to determine mass of object. Using the above force formula, F = M× a

where M --> mass in kilograms

a --> Acceleration in m/s²

F --> net force in Newton

Substitute all known values in above formula, 125 N = M × 24.0 m/s²

=> M = = \(\frac{125}{24}\)

=> M = 5.208 kg

Hence, required value is 5.208 kg.

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Complete question:

A net force of 125 N is applied to a certain object. As a result, the object accelerates with an acceleration of 24.0 m/s^2. The mass of the object is ?

a) 144 kg

b) 236 kg

c) 5.208 kg

d) 459 kg

The domain is the set of years, which is {1, 2, 3, 4}, and the range is the set of values, which is {25000, 21250, 13750, 10000}. The ordered pairs of this function are (1, 25000), (2, 21250), (3, 13750), (4, 10000).

The relation described above can be expressed as a set of ordered pairs by calculating the value of the car for each year based on the depreciation rate. Let's calculate the value of the car for each year:

Year 1: 25000

Year 2: 25000 - 3,750

= 21250

Year 3: 21250 - 3,750

= 13750

Year 4: 13750 - 3,750

= 10000

Therefore, the ordered pairs of this relation are

: (1, 25000), (2, 21250), (3, 13750), (4, 10000).

The domain of this relation is the set of years, which is {1, 2, 3, 4}, and the range is the set of values, which is

{25000, 21250, 13750, 10000}.

This relation is a function because each input (year) is associated with one output (value).

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Answer:

C 97° and 83°

Step-by-step explanation:

Two supplementary angles have the measure of 180° degrees in total.

A) 7 + 83 = 90

B) 83 + 83 = 166

C) 97 + 83 = 180

D) 117 + 83 = 200

Option C is the best answer.

Hope this helps.