find the length of the spiraling polar curve r = − 7e^4 θ from 0 to 2 π .

Answer:

12.5

Step-by-step explanation:

use a calculator and don't waste your coins

Answer:

false

Step-by-step explanation:

1/8 = .125

2/4 = .5

therefore 1/8 does not = 2/4

The probability that the average hourly rate of the 100 registered web developers sampled exceeds $35.5 is approximately 0.106, rounded off to the third decimal place.

The mean of the distribution of the hourly rate of registered web developers is $\mu = 35$ and the standard deviation is $\sigma = 4$. We are interested in finding the probability that the average hourly rate of the 100 registered web developers sampled exceeds $35.5$.

We can use the central limit theorem to approximate the sampling distribution of the sample mean. According to the central limit theorem, the sampling distribution of the sample mean will be approximately normal with mean $\mu_{\bar{x}} = \mu = 35$ and standard deviation $\sigma_{\bar{x}} = \frac{\sigma}{\sqrt{n}} = \frac{4}{{100}} = 0.4$.

Let $X$ be the sample mean hourly rate of the 100 registered web developers. Then we need to find $P(X > 35.5)$.

Standardizing $X$,we get:

Using a standard normal table or calculator, we can find the probability $P(Z > 1.25) \approximately 0.1056$. Therefore, the probability that the average hourly rate of the 100 registered web developers sampled exceeds $35.5$ is approximately 0.106, rounded off to the third decimal place

Answer:

The area is approximately 28.73ft²

Step-by-step explanation:

Given: Circumference = 19 ft

The necessary formula area,

Area: A = πr²

Circumference: C = 2πr

Combine:

A = \(\frac{C^{2} }{4\pi }\)

A = \(\frac{19^{2} }{4\pi } \\\\ \frac{361 }{4\pi }\)

A = 28.72747

Answer:

52%

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

This is a 10 x 10 grid so you have 100 squares and 52 shaded blue so divide 52/100 for the percent, so 52% are shaded

Answer:

52 miles per hour

Step-by-step explanation:

I think you're missing some info, so this is all I can help with right now

In permutation, ³¹C₅  are there to select 5 scoops of ice cream to put into a bowl .

What are some examples of permutation?

Total ice cream flavor n = 31 flavor

selection of (r) = 5 scoop

total number of ways to select 5 scoops of ice cream from 31 flovers

                                                   = ³¹C₅

Learn more about permutation

brainly.com/question/1216161

#SPJ4

(a) To find the percentage of college presidents receiving an annual housing provision exceeding $45,000 per year, we need to calculate the probability of a value greater than $45,000 based on the given normal distribution with a mean of $50,000 and a standard deviation of $5,000.

(b) To find the percentage of college presidents receiving an annual housing provision between $39,500 and $47,200 per year, we calculate the probability of a value falling within this range based on the normal distribution.

(c) To determine the housing provision such that 17.36% of college presidents receive an amount exceeding this figure, we find the corresponding value of the housing provision using the cumulative distribution function (CDF) of the normal distribution.

(a) Using the normal distribution, we can calculate the probability of a value exceeding $45,000 by finding the area under the curve to the right of $45,000. This can be done by standardizing the value using the formula z = (x - μ) / σ, where x is the value ($45,000), μ is the mean ($50,000), and σ is the standard deviation ($5,000). Then, we can look up the corresponding z-score in the standard normal distribution table to find the probability.

(b) To calculate the percentage of college presidents receiving an annual housing provision between $39,500 and $47,200 per year, we need to find the probabilities of values falling below $47,200 and $39,500 separately and then subtract the two probabilities. Similar to (a), we standardize the values and use the standard normal distribution table to find the probabilities.

(c) To find the housing provision such that 17.36% of college presidents receive an amount exceeding this figure, we need to find the value that corresponds to the 17.36th percentile of the normal distribution. This can be done by finding the z-score that corresponds to the desired percentile using the standard normal distribution table, and then converting it back to the original scale using the formula x = μ + zσ, where x is the desired value, μ is the mean, z is the z-score, and σ is the standard deviation.

Learn more about percentage here:

https://brainly.com/question/30348137

#SPJ11

Ellen renovates his square farmhouse foyer that has a side of 15 feet. Therefore, the area of Ellen's square farmhouse foyer is 225 square feet.

The area of Ellen's square farmhouse foyer, with a side of 15 feet, is 225 square feet.

To find the area of a square, you need to multiply the length of one side by itself.

In this case, the side of the square foyer is 15 feet, so you simply need to multiply 15 by 15.

15 x 15 = 225

Therefore, the area of Ellen's square farmhouse foyer is 225 square feet. This measurement can be useful for determining how much flooring, paint, or other materials are needed to complete the renovation project.

Learn more about the Area:

brainly.com/question/27683633

#SPJ11

Answer:

1 1/4 kg

Step-by-step explanation:

Maggie made 3kg of fudge. She and her friends ate some and now there are 1 3/4 kg left. How many kg of fudge did maggie and her friends eat?

The kg of fudge thay maggie and her friends ate is calculated as:

Initial kg of fudge - kg of fudge left

= 3 kg - 1 3/4 kg

3/1 kg - 7/4 kg

Lowest common denominator = 4

= 12 - 7/4 kg

= 5/4 kg

= 1 1/4 kg

The probability that a single newborn baby's weight is within 0.6 pounds of the mean is approximately 68.26%.
Similarly, the probability that the average weight of a sample of nine babies is within 0.6 pounds of the mean is also approximately 68.26%. The difference lies in the context of considering an individual versus a sample.

a. To find the probability that one newborn baby will have a weight within 0.6 pounds of the mean, we need to calculate the area under the normal distribution curve between 6.4 and 7.6 pounds. This can be done by finding the z-scores corresponding to these values and then looking up the probabilities in the standard normal distribution table. Alternatively, we can use a statistical calculator or software to find the probability directly. The probability is approximately 0.6826 or 68.26%.

b. To find the probability that the average of nine babies' weights will be within 0.6 pounds of the mean, we need to consider the distribution of sample means. According to the Central Limit Theorem, when the sample size is large enough (in this case, nine babies), the distribution of sample means will be approximately normal regardless of the shape of the population distribution. The mean of the sample means will still be 7 pounds, but the standard deviation of the sample means will be the standard deviation of the population divided by the square root of the sample size (0.6/√9 = 0.2 pounds). Therefore, we can use the same approach as in part (a) to find the probability. The probability is also approximately 0.6826 or 68.26%.

c. The difference between (a) and (b) is in the context. In (a), we are considering the probability of a single newborn baby having a weight within 0.6 pounds of the mean. In (b), we are considering the probability of the average weight of a sample of nine babies being within 0.6 pounds of the mean. The difference arises from the fact that the sample mean has a smaller standard deviation compared to an individual measurement, resulting in a narrower range around the mean.

To learn more about statistical calculator click here: brainly.com/question/30765535

#SPJ11

The slope of the line parallel to the line is -2

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The line equation is given as

6x + 3y = -54

Subtract 6x from both sides

3y = -6x - 54

Divide through the equation by 3

So, we have

y = -2x - 17

A linear equation is represented as

y = mx + c

Where m represents the slope

This means that

m = -2

Parallel lines have the same slope

This means that the slope of the line parallel to the line is -2

Read more about slope at

https://brainly.com/question/3493733

#SPJ1

The expression for  d=rt in terms of the time is t = d/r; t = 5.

Therefore,

In the equation d=rt

                          t = d/r

when distance is 40 and the rate is 8

                          t = d/r

Replace d with 40 and rate with 8

                          t = 40/8

                          t = 5

To learn more about time, refer;

https://brainly.com/question/28050940

#SPJ1

The expression (x^2 - 3x + 2)/(x^2 - 4) / ((x - 2)/(5x + 10)) * a simplifies to a(x - 1)/5.
The solutions to the equations ax^2 + 8x - 3 = 0 and x^2 + 4x + 2 = 0 depend on the value of 'a' and are found using the quadratic formula.
The equation with roots -4 ± 2i√6 is (x + 4)^2 - 24 = 0.
The equation with roots -2 ± 5√7i is (x + 2)^2 + 175 = 0.
To rationalize the denominator 1/(4 - √6), we multiply it by the conjugate of the denominator to obtain (2 + √6)/5.
The expression 5/(2 - 3i) in a + bi form is (4/13) + (6/13)i.

To divide the expression (x^2 - 3x + 2)/(x^2 - 4) / ((x - 2)/(5x + 10)) * a, we simplify each fraction individually. The numerator (x^2 - 3x + 2) can be factored as (x - 1)(x - 2), and the denominator (x^2 - 4) can be factored as (x - 2)(x + 2). Canceling out the common factor of (x - 2) in the numerator and denominator, we are left with (x - 1)/(x + 2). Finally, multiplying by 'a' gives us a(x - 1)/(x + 2), which is the simplest form of the expression.
For the equation ax^2 + 8x - 3 = 0, the solutions depend on the value of 'a'. By applying the quadratic formula, x = (-8 ± √(64 - 4ac)) / (2a), we can determine the solutions. However, since the value of 'a' is not specified, we cannot find the exact solutions.
For the equation x^2 + 4x + 2 = 0, we can use the quadratic formula directly. Substituting the values a = 1, b = 4, and c = 2 into the formula, we find x = (-4 ± √(16 - 4(1)(2))) / (2(1)). Simplifying further, x = (-4 ± √(16 - 8)) / 2, which simplifies to x = -2 ± √2. Therefore, the solutions to the equation x^2 + 4x + 2 = 0 are x = -2 + √2 and x = -2 - √2.
Given the roots -4 ± 2i√6, we can form the corresponding equation. Since complex roots occur in conjugate pairs, the equation can be written as (x - (-4 + 2i√6))(x - (-4 - 2i√6)) = (x + 4)^2 - (2i√6)^2 = (x + 4)^2 - 24 = 0. Therefore, the equation with the given roots is (x + 4)^2 - 24 = 0.
Similarly, for the roots -2 ± 5√7i, we treat them as conjugate pairs:

Learn more about quadratic formula here
https://brainly.com/question/10354322



#SPJ11

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

Learn more about circle here

brainly.com/question/11878555

#SPJ4

Answer:

1. the belief in one god.

2. by beliving myself.

3. Yes, Because if we didn't culture beliefs people would believe in what ever they want.

4. People not beliefing in their god/ worrying about other people.

Step-by-step explanation:

Answer:

1: my cultural belief when it comes to helping people is that the said person I helped will be of help when I need it .

2:This cultural belief in (no:1) is gotten from an old saying in my tradition that translates to " help people so that people will help you .

3:It is important to have cultural belief and it is also important not to be extreme in it .

4: If I am refused of help from someone or group of people i believe I have helped greatly .

hope this helps !

Answer:

a=10

Step-by-step explanation:

The answer of the given question based on graph is , (a) After the equation is graphed, the vertex is the maximum. , (b)  After the equation is graphed, the vertex is the minimum. , (c) There is no vertex.

An equation is mathematical statement that shows equality of the two expressions, often separated by equal sign (=). Equations can contain variables, constants, and mathematical operations, and they are used to describe various relationships or situations in mathematics and other fields.

Solving equations involves finding the value(s) of the variable(s) that make the equation true. Depending on the type of equation and the operations involved, different methods can be used to solve it

(a) x²-6x+7=0 --> (2) After the equation is graphed, the vertex is the maximum.

(b) -x² + x = -17 --> (1) After the equation is graphed, the vertex is the minimum.

(c) 9x² = 1 --> (3) There is no vertex.

To know more about Expression visit:

https://brainly.com/question/1859113

#SPJ1

The necessary information which is missing from this formula page is none of the above and is denoted as option D.

This is referred to as a sheet or page which helps a student recall formulas so that they can solve test items independently.

In the example given,  t-time V = d/t d-distance V = distance/time v-velocity and the meaning of their respective abbreviations were given for better explanation. We should note that a formula page lacks numerical values as only the formula for the parameter is given is contained which is why none of the above was chosen as the correct choice.

Read more about Formula page here https://brainly.com/question/3457132

#SPJ1

Answer:hi the answer is D

Step-by-step explanation:

i just took the test!

Answer:

D

Step-by-step explanation:

Edg2021

See the images attached

Answer:

Step-by-step explanation:

The total number of cubes in the first rectangular grid is (n+1) x (n+6) x 1 = (n^2+7n+6) cubes.

The total number of cubes in the second rectangular grid is (n+3) x (n+3) x 1 = (n^2+6n+9) cubes.

Therefore, the total number of cubes in both rectangular grids combined is (n^2+7n+6) + (n^2+6n+9) = 2n^2 + 13n + 15.

To show that you can always form a rectangle with no cubes left over, we can note that the dimensions of the first grid are (n+1) x (n+6) and the dimensions of the second grid are (n+3) x (n+3).

If we take apart the first grid and recombine the cubes, we can form a rectangle with dimensions (n+1) x 6.

If we take apart the second grid and recombine the cubes, we can form a square with dimensions (n+3) x (n+3).

Now, we can combine the two rectangles by placing the square on top of the rectangle with dimensions (n+1) x 6, and aligning their edges. This gives us a new rectangle with dimensions (n+3) x (n+7).

We can see that the total number of cubes used to form this new rectangle is equal to the sum of the cubes used to form the original two rectangles, and no cubes are left over. Therefore, we have shown that we can always form a rectangle with no cubes left over by taking apart and recombining the cubes from the two original rectangles.

Answer:

x is 1000

Step-by-step explanation:

hope this helps

Answer: 7.62

Step-by-step explanation:

\(AB=\sqrt{(-2-1)^{2}+(-3-4)^{2}}=\sqrt{9+49}=\sqrt{58} \approx 7.62\)

The 4th term and the 6th term in the sequence are 1 and 5/6

From the question, we have the following parameters that can be used in our computation:

Tn= (4 + n)/2n

The 4th term and the 6th term in the sequence means that

n = 4 and n = 6

Substitute the known values in the above equation, so, we have the following representation

n = 4:

T(4) = (4 + 4)/2(4)

Evaluate

T(4) = 1

n = 6:

T(6) = (4 + 6)/2(6)

Evaluate

T(6) = 5/6

Hence, the terms are 1 and 5/6

Read more about sequence at

https://brainly.com/question/6561461

#SPJ1

1. To create a buffer, we need a weak acid and its conjugate base or a weak base and its conjugate acid. Let's analyze each option:

a. 0.17 mol NH3: NH3 is a weak base, and its conjugate acid is NH4+. Therefore, adding NH3 to the solution would create a buffer.

b. 0.08 mol NaOH: NaOH is a strong base, not a weak base. Therefore, adding NaOH would not create a buffer.

c. 0.18 mol HI: HI is a strong acid, not a weak acid. Therefore, adding HI would not create a buffer.

d. 0.08 mol HI: HI is a strong acid, not a weak acid. Therefore, adding HI would not create a buffer.

e. 0.17 mol Ba(ClO4)2: Ba(ClO4)2 is not a weak acid or a weak base. Therefore, adding Ba(ClO4)2 would not create a buffer.

Based on this analysis, option a (0.17 mol NH3) is the only one that could be added to the solution to create a buffer.

2. Similar to the previous question, to create a buffer, we need a weak acid and its conjugate base or a weak base and its conjugate acid. Let's analyze each option:

a. 0.15 mol HBr: HBr is a strong acid, not a weak acid. Therefore, adding HBr would not create a buffer.

b. 0.31 mol HClO: HClO is a weak acid, and its conjugate base is ClO-. Therefore, adding HClO to the solution would create a buffer.

c. 0.31 mol KNO3: KNO3 is a salt, not a weak acid or a weak base. Therefore, adding KNO3 would not create a buffer.

d. 0.32 mol HBr: HBr is a strong acid, not a weak acid. Therefore, adding HBr would not create a buffer.

e. 0.15 mol NaOH: NaOH is a strong base, not a weak base. Therefore, adding NaOH would not create a buffer.

Based on this analysis, option b (0.31 mol HClO) is the only one that could be added to the solution to create a buffer.

To know more about buffer :

https://brainly.com/question/31847096

#SPJ11