what is the formula for areas of a circle?​

The X value corresponding to z = -2.00 is 60. The X value corresponding to z = -2.00 is 60. This means that the observation with a z-score of -2.00 is 60 units below the population mean of 80.

To find the X value corresponding to z = -2.00, we can use the formula:
z = (X - µ) / σ
Substituting the given values, we get:
-2.00 = (X - 80) / 10
Solving for X, we get:
X = (-2.00 x 10) + 80
X = 60

The z-score measures the number of standard deviations an observation is from the mean. In this case, the given z-score of -2.00 indicates that the observation is 2 standard deviations below the mean.
To find the corresponding X value, we use the formula:
z = (X - µ) / σ
Where z is the standard normal distribution value, X is the corresponding raw score, µ is the mean of the population, and σ is the standard deviation of the population.
Substituting the given values, we get:
-2.00 = (X - 80) / 10
Solving for X, we get:
X = (-2.00 x 10) + 80
X = 60

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a) The function 2z + z^3 is entire, which means it is holomorphic in the entire complex plane.

b) The function logz is meromorphic in C{0}, which means it is holomorphic everywhere except at 0.

c) The function z^3 + 1/sinz is meromorphic in C, which means it is holomorphic everywhere except at the poles where sinz is equal to 0.

d) The function e^(1/z) is holomorphic in C{0}, which means it is holomorphic everywhere except at 0.

e) The function tanz is meromorphic in C, which means it is holomorphic everywhere except at the poles where cosz is equal to 0.

f) The function (z-3)^2 + cosz is entire, which means it is holomorphic in the entire complex plane.

To prove that all the roots of z^6 - 5z^2 + 10 = 0 lie inside a ring, we need to use the Argument Principle. By evaluating the number of zeros inside and outside a closed curve that encloses the ring, we can conclude that all the roots lie inside the ring. However, the specific details of the ring and the proof cannot be provided within the given word limit.

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Answer:

a) additive property of equality

Step-by-step explanation:

You canceled the addition of 21 to help simplify the equation.

Answer:

B) b2

Explanation:

b · b = b²

b + b = 2b

2 × b = 2b

2 × b × b = 2b × b = 2b²

Answer:

A) 2b ( b×b = twice b )

hope this help

Answer:

1.98

Step-by-step explanation:

Weight on earth/ 9.81 m/s^2 * 1.622m/s^2

Answer:

the moon has a gravitational force of 1.622m/s2 you multiply the object by the quantity to get the answer you need for how much it weighs on the moon

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

.75-.25 is .5

1/2 is equal to .5 so .5 +.5 is 1

Answer:

0.75 - 0.25 + 1/2

convert the decimals to fractions

that's

0.75 = 3/4

0.25 = 1/4

We get

3/4 - 1/4 + 1/2

Find the common denominator which is 4

3/4 - 1/4 + 1/2 = 3 - 1 + 2 / 4

=4/4

= 1

The final answer is 1

Hope this helps

Answer:

24

Step-by-step explanation:

Write 10% as 10/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have 10/100 of 240 = 10/100×240

Therefore, the answer is 24

Answer:

m = \(\frac{5}{7}\)

Step-by-step explanation:

A( \(x_{1}\) , \(y_{2}\) )

B( \(x_{2}\) , \(y_{2}\) )

\(m_{AB}\) = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

~~~~~~~~~~

(0, 2)

(7, 7)

m = \(\frac{7-2}{7-0}\) = \(\frac{5}{7}\)

Let's denote the distance from Springfield to Teton as "D" and Bill's original rate of speed as "R" (in miles per hour). We know that at his original speed, he can travel from Springfield to Teton in 6 hours.

So, we can express this relationship as: D = R x6. Now, when Bill increases his speed by 20 mph, he can make the trip in 4 hours. So, we can express this new relationship as: D = (R + 20) x 4. Since both equations represent the distance from Springfield to Teton, we can set them equal to each other: Rx6 = (R + 20) x4 . Now, let's solve for R:

6R = 4R + 80  

2R = 80

R = 40 mph

Now that we know Bill's original rate of speed, we can calculate the distance from Springfield to Teton using either equation. Let's use the first one:
D = R x6
D = 40 x 6
D = 240 miles
So, the distance from Springfield to Teton is 240 miles.

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Answer:

42 - 22 = 20

Mary has 20 more peanuts than Frank.

Answer:

20

Step-by-step explanation:

42-22=20

Since our calculated t score of 14.4 is much larger than the cutoff t score of 2.131, we can reject the null hypothesis and conclude that the mean creativity score of the current statistics class is significantly different from the mean creativity score of the rest of the university students.

The null hypothesis in this scenario is that the mean creativity score of the current statistics class is not significantly different from the mean creativity score of the rest of the university students, which is 40.

We can use a one-sample t-test to test this hypothesis, where the test statistic is calculated as:

t = (sample mean - population mean) / (sample standard error)

where the sample standard error is calculated as:

standard error = population standard deviation / sqrt(sample size)

Plugging in the given values, we have:

t = (47 - 40) / (5 / sqrt(16)) = 14.4

To find the cutoff t score at the 5% level of significance with 15 degrees of freedom (16 students - 1), we can use a t-distribution table or a calculator. Using a table, we find that the cutoff t score is 2.131.

Therefore, since our calculated t score of 14.4 is much larger than the cutoff t score of 2.131, we can reject the null hypothesis and conclude that the mean creativity score of the current statistics class is significantly different from the mean creativity score of the rest of the university students.

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Answer:

You need 8 picnic tables.

Step-by-step explanation:

You need 8 picnic tables because there are 30 friends and 4 sits at each table, and 4 x 8 is 32. There is 2 more extra seats. But it does fit all 30 friends.

Answer:

The complete table will be:

Term #                Value of aₙ

1                            15

5                           27

10                          42

20                         72

Step-by-step explanation:

Given the sequence expression

aₙ = 15 + 3(n-1)

Substituting n = 1 for the first term

aₙ = 15 + 3(n-1)

a₁ = 15 + 3(1-1)

a₁ = 15 + 3(0)

a₁ = 15 + 0

a₁ = 15

Substituting n = 5 for the 5th term

aₙ = 15 + 3(n-1)

a₅ = 15 + 3(5-1)

a₅ = 15 + 3(4)

a₅ = 15 + 12

a₅ = 27

Substituting n = 10 for the 10th term

aₙ = 15 + 3(n-1)

a₁₀ = 15 + 3(10-1)

a₁₀ = 15 + 3(9)

a₁₀ = 15 + 27

a₁₀ = 42

Substituting n = 20 for the 20th term

aₙ = 15 + 3(n-1)

a₂₀ = 15 + 3(20-1)

a₂₀ = 15 + 3(19)

a₂₀ = 15 + 57

a₂₀ = 72

Therefore, the complete table will be:

Term #                Value of aₙ

1                            15

5                           27

10                          42

20                         72

For the rational function r(x) = (x+1)(x-3)/(x+3)(x-7), the x-intercepts are found by setting the numerator equal to zero and solving for x:

(x + 1)(x - 3) = 0

This gives x=-1 and x=3 as the x-intercepts.

For the same function, the vertical asymptotes are found by setting the denominator equal to zero and solving for x:

(x + 3)(x - 7) = 0

This gives x=-3 and x=7 as the vertical asymptotes.

For the rational function r(x) = (x+1)(x-3)/(x+3)(x-6), the vertical asymptotes are found by setting the denominator equal to zero and solving for x:

(x + 3)(x - 6) = 0

This gives x=-3 and x=6 as the vertical asymptotes.

For the same function, there are no x-intercepts.

For the rational function r(x) = (x+1)(x-3)/(x+3)(x-4), the horizontal asymptote can be found by looking at the degrees of the numerator and denominator. Since the degree of the numerator is 2 and the degree of the denominator is 2, the horizontal asymptote is given by the ratio of the leading coefficients, which is 1/1=1. Therefore, the horizontal asymptote is y=1.

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Answer:

\(x(x {}^{2} - 8x - 20) = 0\)

Use the quadratic formula to simply the second degree equation;

\(x(x + 2)(x - 10)\)

\(x1 = 0\)

\(x2 = - 2\)

\(x3 = 10\)

The relation S={(a,b)∈R×R:a²+b²=1} is not an equivalence relation on the set of real numbers R.

To show that S is not an equivalence relation, we need to demonstrate that it fails to satisfy one or more of the properties of an equivalence relation: reflexivity, symmetry, and transitivity.

Reflexivity: For a relation to be reflexive, every element of the set should be related to itself. However, in the case of S, there are no real numbers (a, b) that satisfy the equation a² + b² = 1 for both a and b being the same number. Therefore, S is not reflexive.

Symmetry: For a relation to be symmetric, if (a, b) is related to (c, d), then (c, d) must also be related to (a, b). However, in S, if (a, b) satisfies a² + b² = 1, it does not necessarily mean that (b, a) also satisfies the equation. Thus, S is not symmetric.

Transitivity: For a relation to be transitive, if (a, b) is related to (c, d), and (c, d) is related to (e, f), then (a, b) must also be related to (e, f). However, in S, it is not true that if (a, b) and (c, d) satisfy a² + b² = 1 and c² + d² = 1 respectively, then (a, b) and (e, f) satisfy a² + b² = 1. Hence, S is not transitive.

Since S fails to satisfy the properties of reflexivity, symmetry, and transitivity, it is not an equivalence relation on the set of real numbers R.

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The correct answer is not listed in the options, so there might have been a mistake in the question or the choices provided. To find the fourth ordered pair using the two sequences, we need to apply each rule to the previous result, starting from the given starting points.

Using Rule 1, starting from 1:
- Multiply by 2: 1 x 2 = 2
- Add one third: 2 + (1/3) = 7/3
So the first term of the fourth ordered pair is 7/3.
Using Rule 2, starting from 0:
- Add one half: 0 + 1/2 = 1/2
- Multiply by 4: (1/2) x 4 = 2
So the second term of the fourth ordered pair is 2.
Therefore, the fourth ordered pair is (7/3, 2).

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Answer:

(From left to right)

y = -13; -12; -3; -1; and 1

Step-by-step explanation:

Answer:

a) -x(4\(x^{2}\) -x +1)

b) 4\(x^{3}\) (x-1)

c) -12\(x^{2}\) - 3x + 3

Step-by-step explanation:

Most of it is really just a matter of substituting expressions in. here's how i did it:

f(x) = x-1

g(x) = 4\(x^{2}\)

a) (f-g) x \(x\)

= (x - 1- 4\(x^{2}\)) x \(x\)

= x(- 4\(x^{2}\)+x-1)

= -x (4\(x^{2}\) - x + 1)

*you can take the negative out of the bracket or not, i did though - just makes it neater. They are both right.

b) (fxg) x \(x\)

= (4\(x^{2}\)(x-1)) x \(x\)

= 4\(x^{3}\) (x-1)

*just bring the x to the front and times it with the 4\(x^{2}\)

c) (f+g) x -3

= (x - 1 + 4\(x^{2}\)) x -3

= -3 (4\(x^{2}\) + x -1)

= -12\(x^{2}\) - 3x + 3

*just bring the -3 to the front and times it with the whole bracket to expand since it said evaluate

Hope that helped : )

Answer:

y = -3x - 16

Step-by-step explanation:

y = -3x + b

-4 = -3(-4) + b

-4 = 12 + b

b = -16

y = -3x - 16

Answer:

Step-by-step explanation:

4= -3(-4)

= b. b = 4-12

= -8. y = mx +b.  

y=-3x -8

Answer:

1:2

Step-by-step explanation:

When 5:10 is simplified by 5 which would be...

10/5=2 and 5/5=1

Which equals to 1:2

Answer

The equivalent ratios are 1:5 and 2:10.

Explanation

To get from 5 to 10 you multiply by 2.

Do the same thing to the 1.

1 times 2 is 2.

For every one boy there are 5 girls. For every 2 boys, there are 10 girls.

P.S. LOLOLOL you use Big Ideas on an iPad?

report student again

To find the radius and interval of convergence for a series, use the ratio test. Determine absolute convergence by finding values of x for which the series converges regardless of an's sign, and conditional convergence by considering the sign of an.

To find the radius and interval of convergence for a series, we can use the ratio test. Let's denote the given series as ∑(an * x^n).

(a) To find the series' radius of convergence, we apply the ratio test: lim┬(n→∞)⁡(a_(n+1) * x^(n+1)|/|a_n * x^n).

If the limit is less than 1, the series converges absolutely. If the limit is greater than 1, the series diverges. If the limit is equal to 1, the test is inconclusive.

(b) For absolute convergence, we need to find the values of x for which the series converges regardless of the sign of an. Once we find the interval of convergence, we need to check the endpoints to see if the series converges at those points.

(c) For conditional convergence, we need to find the values of x for which the series converges when the sign of an is considered. In other words, the series converges conditionally if it converges but not absolutely.

Unfortunately, you have not provided the specific series for which you want to find the radius and interval of convergence. Please provide the series, and I will be able to assist you further.

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To find the critical value needed to construct a confidence interval for the population mean, we need to know the level of confidence and the sample size.

However, the information you provided only states "level" and "sample size," without specifying their values. Additionally, you mentioned that the population standard deviation is unknown.

In general, the critical value is determined based on the desired level of confidence and the sample size, and it depends on the distribution of the data (e.g., normal distribution, t-distribution). For a normal distribution and when the population standard deviation is unknown, the critical value is usually determined using the t-distribution.

To calculate the critical value, we need to know the level of confidence and the sample size (degrees of freedom for the t-distribution). With these details, we can use statistical tables or software to find the corresponding critical value.

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Therefore, the measure of the central angle whose radii define the given arc is approximately 83.077 degrees.

The length of an arc on a circle is given by the formula:

Arc Length = (Central Angle / 360°) * Circumference

In this case, we know the arc length is 6π centimeters, and the radius of the circle is 13 centimeters. The circumference of the circle can be calculated using the formula:

Circumference = 2π * Radius

Substituting the radius value, we get:

Circumference = 2π * 13

= 26π

Now we can use the arc length formula to find the central angle:

6π = (Central Angle / 360°) * 26π

Dividing both sides of the equation by 26π:

6π / 26π = Central Angle / 360°

Simplifying:

6 / 26 = Central Angle / 360°

Cross-multiplying:

360° * 6 = 26 * Central Angle

2160° = 26 * Central Angle

Dividing both sides by 26:

2160° / 26 = Central Angle

Approximately:

Central Angle ≈ 83.077°

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The statement is false. Not every Cauchy sequence in the Euclidean metric space ℝ^n with n a positive integer is convergent.

A Cauchy sequence is a sequence in which the terms become arbitrarily close to each other as the sequence progresses. In a complete metric space, every Cauchy sequence converges to a limit. However, the Euclidean metric space ℝ^n is not complete for all positive integers n.

For example, consider the sequence (1, 1), (1, 1/2), (1, 1/3), (1, 1/4), ... in ℝ^2. This sequence is Cauchy since the distance between any two terms can be made arbitrarily small. However, this sequence does not converge in ℝ^2 because it approaches the point (1, 0), which is not in ℝ^2. Therefore, not every Cauchy sequence in ℝ^2 (or in general, ℝ^n) converges, making the statement false.

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Answer:

minutes is the show the required quation

The correct expression which represent the total number of marbles m in the bag is,

⇒ m = 6 × 13

⇒ m = 78

Since, We know that,

The multiplication means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Here, We have to given that;

On a rainy day, Anne and her friends play a marble game called Revenge.

And, Anne divides a bag of marbles evenly among the 6 players. Each player gets 13 marbles.

Since, Anne divides a bag of marbles evenly among the 6 players. Each player gets 13 marbles.

Let us assume that, the total number of marbles in the bag is, m

Hence, We can formulate the expression,

⇒ m = 6 × 13

⇒ m = 78

Which represent total number of marbles in the bag.

Hence, the total number of marbles m in the bag is,

⇒ m = 78

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