The count in a bacteria culture was 700 after 10 minutes and 1600 after 30 minutes. Assuming the count grows exponentially,
What was the initial size of the culture? Find the doubling period. Find the population after 65 minutes. When will the population reach 14000.

The median would be a better choice than the mean for measuring the center of the data set with the value of 70 when its distribution is skewed with some outliers.

The median is the middle value in an ordered list of values, while the mean is the average.

The choice of either the median or the mean depends on the distribution of the data values.

When the distribution of the data values is symmetrical without clear outliers, the mean is the better central value to use.

When the distribution of data values is skewed with clear outliers, the median serves as the better central value.

Thus, use the median when the data distribution is skewed with some outliers.

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Answer:4

Step-by-step explanation

If you have 2 fishes in an aquarium and add 2 more fishes to the aquarium you have 4 fishes! :D

Answer:

4

Step-by-step explanation:

The derivative of the function f(x) = 5x^2(x^2 - 3)^15 using the chain rule is f'(x) = (160x^3 - 30x)(x^2 - 3)^14.

To find the derivative of the function f(x) = 5x^2(x^2 - 3)^15, we can apply the chain rule. The chain rule states that if we have a composite function, g(h(x)), then the derivative of g(h(x)) with respect to x is given by g'(h(x)) * h'(x).
In this case, we can let g(u) = 5u^15 and h(x) = x^2 - 3. Therefore, f(x) can be rewritten as g(h(x)) = g(x^2 - 3) = 5(x^2 - 3)^15.
Now, let's find the derivative of g(u) and h(x):
g'(u) = 15u^14
h'(x) = 2x
Applying the chain rule, we have:
f'(x) = g'(h(x)) * h'(x)
= 15(x^2 - 3)^14 * 2x
= 30x(x^2 - 3)^14
Simplifying further, we get:
f'(x) = (160x^3 - 30x)(x^2 - 3)^14
Therefore, the derivative of the function f(x) = 5x^2(x^2 - 3)^15 using the chain rule is f'(x) = (160x^3 - 30x)(x^2 - 3)^14.

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Answer:

Michael will earn $399.60 for a 37-hour week.

Step-by-step explanation:

\(10.80 \times 37 = 399.60\)

okay so this question is very easy you just supposed to multiple the paid per hour amount with the hours per week.

Data

paid per hour $10.80

find how much for 37 hours

Solution

37 * 10.80

=$399.6

Answer:

\(3 |2x - 3| = 1\)

\(3 |2x - 3| = 1 \\ 6x - 9 = 1 \\ 6x = 10 \\ x = \frac{10}{6} = \frac{5}{3} \)

\(3 |2x - 3| = - 1 \\ 6x - 9 = - 1 \\ 6x = 8 \\ x = \frac{4}{3} \)

\(x = \frac{5}{3} x = \frac{4}{3} \)

I am sorry but I am not sure of this :(

Answer:

21.7 - n

Step-by-step explanation:

12.7 +9

ANSWER

21.7 - n

the sample size needed to estimate the percentage of obstetricians considering leaving the profession with a margin of error of ±3% at the 95% confidence level is approximately 1068. The answer is (E).

TheThe sample size required to estimate a proportion with a margin of error of ±3% at the 95% confidence level can be calculated using the formula:

n = (Z α/2)^2 * p(1-p) / E^2

where Z  α/2 is the critical value for the standard normal distribution at the 95% confidence level (which is 1.96), ppp is the estimated proportion of obstetricians considering leaving the profession (which we don't know yet), and E is the desired margin of error (which is 0.03).

To maximize the sample size, we assume thatp= 0.5 (since this gives the largest sample size for any given population size). Substituting the values into the formula, we get:

n = (1.96)^2 * 0.5(1-0.5) / 0.03^2
n ≈ 1067.11

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Answer: D

Step-by-step explanation: Just solve for perimeter of a rectangle by just plugging the side length in with these equations.

If the data for Azerbaijan is excluded and the regression is rerun, the results may or may not change depending on the specific factors and variables involved in the regression analysis.

If Azerbaijan had a significant impact on the overall regression, then excluding it could cause a significant change in the results. However, if Azerbaijan did not have a significant impact on the regression, then excluding it may not change the results much.

In summary, the exclusion of Azerbaijan from the regression analysis may or may not change the results, depending on the degree of impact the data had on the model.

When you exclude the data for Azerbaijan and rerun the regression, the results may change depending on the influence of Azerbaijan's data on the overall regression model. If the data for Azerbaijan were outliers or significantly different from the rest of the dataset, removing them might result in a more accurate and better-fitting model. However, if Azerbaijan's data were similar to the rest of the data points, the change might be minimal or negligible. To confirm the impact of excluding Azerbaijan's data, you'll need to compare the coefficients, R-squared values, and other relevant statistics of both models (with and without Azerbaijan's data).

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Answer: See attached

Step-by-step explanation:

      We can use the knowledge of straight angles being equal to 180° and our knowledge of vertical angles as well as corresponding angles.

      See attached for a visual and all the angle measurements laid out.

The linear equation that represent this situation is y = 1.4x + 14.25 and y = 3.25x + 8.50

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the subscription for a month for watching x online movies.

For movie Madness:

y = 1.4x + 14.25

For show must go:

y = 3.25x + 8.50

The linear equation that represent this situation is y = 1.4x + 14.25 and y = 3.25x + 8.50

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The row of the table that reveals the x-intercept of the function f is given as follows:

Second row.

A function has two intercepts, which are listed as follows:

The definition of each type of intercept is given as follows:

From the second row of the table, we have that when x = -4, f(x) = 0, hence the x-intercept of the function is of x = -4.

The y-intercept is of y = -16, as from the fourth row, when x = 0, y assumes a value of 16.

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Answer: 5

Step-by-step explanation:

What is the value of x?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

x =

m

A scalene triangle U V W. Side U V is labeled as 19 meters. Side U W is labeled as x. Angle U is labeled as 81 degrees. Angle V is labeled as 30 degrees.

Answer: 10.2

I just took the test and this is the correct answer

An undefined equation can be one where the denominator is 0.

SO here in the option d,

This expression is undefined. All the other expressions can be solved.

Answer:

40%

Step-by-step explanation:

Answer:

Step-by-step explanation:

40%

Answer:

Step-by-step explanation:

The average rate of change of the given function is 10π.

Given function

a = πx^2

Where a is the area of a circle with radius x

The radius changes from x = 4 to x = 6.

Calculating the average rate of change of function:

The method of finding the average rate between the function value over a certain interval is called the average rate of change.

The formula is given by :

Average = \(\frac{f(b)-f(a)}{b-a}\)

Where f(a) and f(b) are the function value over the limit a and b.

Average = \(\frac{f(6)-f(4)}{6-4}\)

= \(\frac{\pi (6)^{2} -\pi (4)^{2} }{6-4}\)

= \(\frac{\pi (36-16)}{2}\)

= \(\frac{20\pi }{2}\)

= 10π

The average rate of change of the given function is 10π.

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The volume of a solid figure with a height of 2 and a square cross-sectional area where the length of the side of a cross-section is x is 2x^2.

To calculate the volume of the solid figure with a height of 2 and a square cross-sectional area, we need to know the length of the side of the cross-section. Let's assume that the length of the side is x.
The cross-sectional area of the figure is the area of the square, which is x^2. The volume of the figure is the product of the cross-sectional area and the height, which is 2x^2.
Therefore, the volume of the solid figure is 2x^2.
It's important to note that the volume of a solid figure is directly proportional to its cross-sectional area. This means that if we increase the cross-sectional area by a factor of 2, the volume will also increase by a factor of 2. This relationship is because the cross-sectional area determines how much material there is to fill up the space. The larger the cross-sectional area, the more material is needed to fill up the same height, resulting in a larger volume.
In conclusion, the volume of a solid figure with a height of 2 and a square cross-sectional area where the length of the side of a cross-section is x is 2x^2.

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The error message "Difference order N must be a positive integer scalar" is indicating that there is an issue with the input argument for the diff function.

The diff function is used to calculate the difference between adjacent elements in a vector.
In the code you provided, the line that is causing the error is:
f_prime0 = diff(f,x0,xinc);
To fix this error, you need to ensure that the input arguments for the diff function are correct.

To fix this problem, you need to look at the code in the Newton_Raphson_tutorial function and possibly also the Tutorial_m function. You probably get an error when computing the derivative with the 'diff' function.

However, we can offer some general advice on how to fix this kind of error. The error message suggests that the variable N used to specify the difference order should be a positive integer scalar.

Make sure the variable N is defined correctly and has a positive integer value.

Make sure it is not assigned a non-integer or non-scalar value.

Make sure the arguments to the diff function are correct.

The diff function syntax may vary depending on the programming language or toolbox you are using.

Make sure the variable to differentiate ('f' in this case) is defined and suitable for differentiation.

Make sure that x0 and xinc are both positive integer scalars, and that f is a valid vector or matrix.
Additionally, it's important to check if there are any other errors or issues in the code that could be causing this error message to appear.

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A n s w e r:

\(-\frac{5y}{3} +\frac{5}{2}\)

The simplification of the given expression 5/6 (-2y + 3) is -1.7y + 2.5.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

Given the expression,

⇒  5/6 (-2y + 3)

⇒ 5/6(-2y) + 5/6(3)

⇒ -2 × 5/6 y + 3 × 5/6

⇒ -5/3 y + 5/2

⇒ -1.7y + 2.5

Hence "The simplification of the given expression 5/6 (-2y + 3) is -1.7y + 2.5".

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Answer:

(3.5, -2)

Step-by-step explanation:

that point is where the edge if the rectangle is

Answer

3.7lb=

2.92=

lb=

6.63

Step-by-step explanation:

Answer:

-33+15n

Step-by-step explanation:

You will have to first distribute the -3.

-3*4 is equal to -12

-3*-5b is equal to 15b     Note: -*-=+

-3*7 is equal to -21

Once you get those numbers you will have a equation like this

-12+15b-21

Combine like terms and you will get -33+15n as you answer

Answer:

Step-by-step explanation:

Putting value of n = - 8 in the equation

F(n) = 2n− 5

F(-8) = 2(-8) - 5

= - 16 - 5 = - 21

The side lengths of the triangle are:

Longer side= 36m, shorter side= 27m and hypotenuse=45m

Here, we have,

Let x be the longer leg of the triangle

According to the problem, the shorter leg of the triangle is 9 shorter than the longer leg, so the length of the shorter leg is x - 9

The hypotenuse is 9 longer than the longer leg, so the length of the hypotenuse is x + 9

We know that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. So we can use the Pythagorean theorem:

(x + 9)² = x² + (x - 9)²

Expanding and simplifying the equation:

x² + 18x + 81 = x² + x² - 18x + 81

x²-36x=0

x=0 or, x=36

Since, x=0 is not possible in this case, we consider x=36 as the solution.

Thus, x=36, x-9=27 and x+9=45.

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B. Make a histogram of the data.It can also be used to detect outliers and to compare distributions of different data sets.

A histogram is a type of graph used to visualize the distribution of a given set of data. It is created by plotting the frequency of occurrence of each data point on a graph, with the x-axis representing the data points and the y-axis representing the frequency of occurrence. The height of the bar above each data point indicates how often the value appears in the data set. The shape of the histogram gives an indication of the underlying distribution of the data. By plotting the frequency of occurrence of each data point, a histogram can provide insights into the mean, median, mode, and other characteristics of the data set. It can also be used to detect outliers and to compare distributions of different data sets.

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Answer:

$11.20

Step-by-step explanation:

Answer:

$34.56

Step-by-step explanation:

32x.08=2.56

40x.2=8

40-8=32

32+2.56=34.56

The ASA (Angle-Side-Angle) postulate states that if two triangles have two congruent angles and a congruent side between them, then the triangles are congruent.

An example of this postulate inaction could be as follows:

Triangle ABC and triangle DEF have two congruent angles (angle A and angle D, and angle B and angle E). They also have a congruent side between them (side AC and side DE). According to the ASA postulate, these two triangles are congruent.

A triangle is a three-sided polygon with three straight sides that are connected at the corners. It is one of the basic shapes in geometry. Triangles can be classified by their sides, angles, or both.

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A poll worker analyzing the ages of voters found that

\(\mu = 65\; \And \; \delta = 5.\)   The possible voter age that would give her zx = 1. 14is 71.

Given : that the random variable,

According to the given statements ,

X = normal (65,5) Now, we will convert it into Z-score concept ,

\(\rm Z=\dfrac{x-65}{5}\)

We can also write in terms of x as well,

When,

           \(\rm z = 1.14 \\\\X = 65+5z\)

So,

\(\rm X=65+5(1.14) = 65+5.7=70.70\)

Therefore,We can also write it by rounding off the value,i.e.=71

The possible voter age that would give her zx = 1. 14is 71.

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Answer:

71

Step-by-step explanation: