What is the number theory?

Answer:

1.5(2x5)

Step-by-step explanation:

just swap the things in the parenthases

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The area of circle calculated form the circumference of circle is 6.25π cm².

The circumference of circle is represented by the formula -

Circumference = 2πr, where r is the radius of the circle.

Keep the value of circumference to find the radius of circle.

5π = 2πr

Cancelling π on each side of the equation

2r = 5

r = 5/2 cm

Now, we know the area of circle is given by the formula -

Area = πr²

Keep the values of radius in the formula -

Area = π× (5/2)²

Taking square on Right Hand Side of the equation

Area = 25π/4

Performing division on Right Hand Side of the equation

Area = 6.25π cm²

Thus, the area is 6.25π cm².

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Answer:

No, these three sides form a right triangle 7yd,3yd,9yd wont work

Step-by-step explanation:

a^2 + b^2 = c^2

lonest length is c (hypotenuse) : 9yd

(7)^2 + (3)^2 = (9)^2

49 + 9 = 81

58 = 81                      NOT TRUE

A subclass refers to a class that can inherit properties of another class called a superclass. The subclass will have all the characteristics and behavior of the superclass, and it can be modified to meet the unique needs of a specific class. Therefore, if a program uses two classes, airplane, and jumbojet, then the most likely subclass is the jumbojet.

Suppose that the airplane is the superclass that will have all the characteristics and behavior of an airplane. On the other hand, the jumbojet will be the subclass that inherits the features of an airplane. As the subclass, the jumbojet can be modified to have additional features unique to it.

The inheritance concept in programming ensures that there is efficient use of code. It makes it easy to reuse code for creating new classes. When using inheritance, developers avoid copying and pasting code, which can lead to errors and repetition.

Suppose that the airplane and jumbojet are classes representing vehicles in a flight system.

Airplane is the superclass representing all the aircraft, while jumbojet is the subclass representing a specific type of airplane, which is a large passenger aircraft. Therefore, the jumbojet, being a specific type of airplane, is the most likely subclass.

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The  solution set to F(x)=x^4+2 using the set of domains are 3, 18, 83 and 258

Functions are way by which the domain of X is written in terms of the codomain Y.

Given the function below;

F(x)=x^4+2

Using the list of domains given as {-2, -1, 0, 1, 2}

Substitute the domains to determine their corresponding co domains

f(-1) = (-1)^4 + 2

f(-1) = 1  + 2

f(-1) = 3

f(-2) = (-2)^4 + 2

f(-2) = 16  + 2

f(-2) = 18

f(-3) = (-3)^4 + 2

f(-3) = 81  + 2

f(-3) = 83

f(-4) = (-4)^4 + 2

f(-4) = 256  + 2

f(-4) = 258

Hence the  solution set to F(x)=x^4+2 using the set of domains are 3, 18, 83 and 258

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We say that there are n-1 degrees of freedom in this case.

The number of values free to vary after certain restrictions have been placed on the data is the definition of degrees of freedom (df). Degrees of freedom are a key concept in inferential statistics and are often used in hypothesis testing and the calculation of confidence intervals. In essence, degrees of freedom represent the number of values in a data set that are free to vary after the mean has been calculated.

For example, if we have a sample of n observations and we know the mean of the sample, then we can calculate the sum of the n observations. However, we cannot set the value of the last observation, as it is determined by the values of the first n-1 observations and the mean. Therefore, we say that there are n-1 degrees of freedom in this case.

Degrees of freedom are also important in the calculation of standard errors, t-tests, and F-tests. In these cases, the degrees of freedom reflect the amount of information in the sample and are used to calculate the probability of observing a particular test statistic under the null hypothesis.

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Answer:

Coefficients are 20, 6, 2 and 7

Your variables are your letters in the equations so x and y are your variables in this case.

Your constants are the same as your coefficients I believe (I will include images so you can be sure)

Your terms are what are in between the signs so 20, 6x, 2y and 7

Here you go henderson :)

Answer:

The type of triangle is this triangle is the acute isosceles triangle

Step-by-step explanation:

They are all less than 90 degrees and two of the sides are the same and two of the angles are the same

Answer:

The type of triangle is this triangle is the acute isosceles triangle

Step-by-step explanation:

bro get smart stop cheating

The coordinates of points A and B, we cannot provide the exact values of AC and CB or verify the required ratio. Please provide the coordinates of points A and B, and we can calculate and verify the distances accordingly.

To verify that point C divides the line AB in the required ratio, we can calculate the distances AC and CB using the distance formula.

The distance formula is given by:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Let's assume the coordinates of point A are (x1, y1) and the coordinates of point B are (x2, y2). The coordinates of point C are given as (4, -2).

To calculate the distance AC, we substitute the coordinates of points A and C into the distance formula:

AC = √((x2 - x1)^2 + (y2 - y1)^2)

= √((4 - x1)^2 + (-2 - y1)^2)

Similarly, to calculate the distance CB, we substitute the coordinates of points C and B into the distance formula:

CB = √((x2 - x1)^2 + (y2 - y1)^2)

= √((x2 - 4)^2 + (y2 + 2)^2)

By calculating AC and CB, we can determine if they are in the required ratio.

However, without knowing the specific coordinates of points A and B, we cannot provide the exact values of AC and CB or verify the required ratio. Please provide the coordinates of points A and B, and we can calculate and verify the distances accordingly.

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Answer:

180 tiles

Step-by-step explanation:

Answer:

180 whole tiles

Step-by-step explanation:

this is because 12 x 15= 180. if they are 1 inch tiles then you need 12 to go one way 15 times, so it would be 180.

The temperature at the river is 77°F.

Given that the temperature at Grand Canyon is 84°F. We need to find the temperature at given locations, assuming the air is stable and not rising on a given day.

The change in temperature due to the increase in altitude is given by the formula:

T₂ = T₁ - (a × h)

Where,T₁ = Temperature at lower altitude

T₂ = Temperature at higher altitude

a = Lapse rate

h = Altitude

The lapse rate can be taken as 3.5°F per 1,000 ft.

1. At the canyon rim, the altitude is 7,000 ft.

Altitude, h₁ = 7,000 ft

Lapse rate, a = 3.5°F per 1,000 ft

Temperature at canyon rim is:

T₂ = T₁ - (a × h)

T₂ = 84°F - (3.5°F/1,000 ft × 7,000 ft)

T₂ = 84°F - 24.5°F

= 59.5°F

Therefore, the temperature at the canyon rim is 59.5°F.

2. At the river, the altitude is 2,000 ft.

Altitude, h₂ = 2,000 ft

Lapse rate, a = 3.5°F per 1,000 ft

Temperature at the river is:

T₂ = T₁ - (a × h)

T₂ = 84°F - (3.5°F/1,000 ft × 2,000 ft)

T₂ = 84°F - 7°F

= 77°F

Therefore, the temperature at the river is 77°F.

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Answer:

d

Step-by-step explanation:

on edge

Answer:

D

(0, 3)

Step-by-step explanation:

The distance of line segment F'G' is approximately 18.384 units.

To find the distance of line segment F'G', we need to calculate the distance between the coordinates of F' and G'.

Initially, line segment FG begins at (-9, -5) and ends at (8, -5).

To translate the segment right 10 units, we add 10 to the x-coordinates:

F' = (-9 + 10, -5) = (1, -5)

G' = (8 + 10, -5) = (18, -5)

To translate the segment down 7 units, we subtract 7 from the y-coordinates:

F' = (1, -5 - 7) = (1, -12)

G' = (18, -5 - 7) = (18, -12)

Now, we calculate the distance between F' and G' using the distance formula:

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

Distance = √((18 - 1)² + (-12 - (-5))²)

= √(17² + (-7)²)

= √(289 + 49)

= √338

≈ 18.384

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Explanation:

CCW = counter-clockwise

The rule for a 90 degree CCW rotation is this

\((\text{x}, \text{y})\to(-\text{y}, \text{x})\)

it only works if the center of rotation is the origin.

The x and y coordinates swap places. Then you change the sign of the first coordinate after the swap occurred.

Applying that rotation rule to point C(5, 6) gets us to C ' (-6, 5).

Then to reflect over the x axis, we flip the sign of the y coordinate. The x coordinate stays the same. The notation would be \((\text{x}, \text{y})\to(\text{x}, -\text{y})\)

So we go from C ' (-6, 5) to C '' (-6, -5)

Answer: \(\dfrac{5}{7}\)

Step-by-step explanation:

Given

The theoretical probability of choosing an event  A is \(\dfrac{2}{7}\)

The sum of the probability of occuring and non-occuring of an event is always equal to 1.

So, the probability of non choosing Event A is

\(\Rightarrow 1-\dfrac{2}{7}\\\\\Rightarrow \dfrac{7-2}{7}\\\\\Rightarrow \dfrac{5}{7}\)

\(-9^2=-(9^2)=-81\), whereas \((-9)^2=9^2=81\).

This is because of the order of operations.

In order to use a normal distribution to compute confidence intervals for p, the conditions on np and nq need to be satisfied are np> 5 and nq> 5. So, correct answer is option (C).

The normal approximation of the binomial distribution is when we use the normal distribution to approximate a discrete distribution (binomial distribution). According to the central limit theorem, if the sample size is large enough, the sampling distribution of the sample mean will be approximately normal. Binomial normal approximation: np and nq where n is the sample size and p is the probability of success. This is related to checking that the normal approximation x ~ N(μ,σ) is within tolerance for the binomial variables x∈[0,n]. z-score z > 0,

μ ± zσ ∈[0,n] => zσ ≤ min[μ,n−μ]

=> z² ≤min[μ²/σ² ,(n−μ)² /σ²]

Using the binomial moment μ = np and σ² =np(1−p), the above condition requires

min[p,1−p]n ≥z²

With this approach, z² =5 corresponds to the covering. Φ[√5] -Φ[√5 ] = 97.5% probabilities Φ is the default normal CDF.

So, np>5 and nq> 5 is required answer.

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Complete question:

In order to use a normal distribution to compute confidence intervals for p, what conditions on np and nq need to be satisfied?

a)np < 5; nq < 5

b)np < 5; nq > 5

c) np > 5; nq > 5

d)np > 5; nq < 5

Answer:

100,000

Step-by-step explanation:

From the hypothesis test conducted, the calculated t-statistic of -3.57 is less than the lower critical t-value of -2.064. This tells us that the observed sample mean of 87% is significantly different from the claimed population mean of 92% at the 0.05 significance level. Therefore, the null hypothesis can be rejected and conclusions can be made that that there is enough evidence to suggest that the average grade of the students in the Algebra 2 class this year is not equal to the average grade of the same students in the Algebra 1 class two years ago.

To determine whether there is enough evidence to reject the teacher's claim, we can conduct a hypothesis test. A one-sample t-test will be us to compare sample mean.

Here are the sample statistics:

Sample size (n) = 25

Sample mean (X) = 87%

Sample standard deviation (s) = 7%

A significance level (α) of 0.05, wil be used

We first calculate the t-statistic, with  (X - μ) / (s/√n),

t = (87 - 92) / (7/√25) = -5 / (7/5) = -3.57

Then, we check this value against the critical t-value for a two-tailed test with 24 degrees of freedom (n-1), and α = 0.05.

The critical t-values for a two-tailed test at α = 0.05 and df = 24 are approximately -2.064 and +2.064.

-3.57 t-test is less than the lower critical t-value of -2.064. This means that the observed sample mean of 87% is significantly different from the claimed population mean of 92% at the 0.05 significance level.

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Answer:

(a) To find the missing angle, we would do inverse tan.

\(angle =tan^{-1}\frac{opp}{adj}\)

\(angle = tan^{-1}\frac{17}{21}\)

angle= 39.0 degrees or 0.7 radians

(b) To find the missing angle, we would do inverse sin.

\(angle= sin^{-1}\frac{opp}{hyp}\)

\(angle= sin^{-1}\frac{12.7}{22.1}\)

angle= 35.1 degrees or 0.6 radians

Answer:

B. s = 24t

Step-by-step explanation:

Since s varies directly with t, therefore, equation that will represent the relationship would take the form of s = my

m = rate of change

✔️Find the rate of change:

Rate of change using two given pairs, (0.5, 12) and (2.5, 60),

Rate of change (m) = ∆s/∆t = (60 - 12)/(2.5 - 0.5) = 48/2 = 24

✔️Substitute m = 24 into s = mt

s = 24t

180g = 0.180 kg or there are 0.180 kilograms in 180 grams.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

The sentence states an equality between a units of weight in grams (g) and kilograms (kg).

From there, we can say that we are asked how many kilograms are there in 180 grams.

Converting grams to kilograms, we must use the conversion

1 g = 0.001 kg

180g = 180 (0.001) kg

180g = 0.180 kg

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Total of all frequencies:

5+8+1213+11= 49

Divide the frequency of 59-61 by total frequencies:

13/49 = 0.265 which rounds to 0.27

The answer is 0.27

The 1930s was a period of significant change in the U.S. entertainment industry, with the emergence of new technologies and the development of new forms of media. Here are some of the key changes that took place:

Overall, the 1930s was a period of significant change in the U.S. entertainment industry, with the rise of new technologies and the emergence of new forms of media leading to the development of new genres and changing audience preferences.

Answer:

-3\(h^{2}\) -17h + 28

Step-by-step explanation:

The cost of the plane ticket will be $324.12.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign%.

Given that:-

Guadalupe buys a plane ticket to visit family. The ticket costs $420.94 for a full trip. The airline has a discount of 27% for new customers.

The discount on the ticket

C = 420.94 x ( 27 / 100 )

C = 113.65

The cost of the ticket:-

= 420.94 - 113.65

= $324.12

Therefore the cost of the plane ticket will be $324.12.

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Answer:

its 84 dollars sorry I'm late

Step-by-step explanation: Make a proportional relationship.

make 120% into a fraction. 120/100

then make 70 into a fraction using a variable. For example, x/70

Then cross multiply 120 and 70. 120x70=8,400

Last divide 8,400 by 100 and that equals $84.

Hope this helps!

Yes, b is in W since b can be expressed as a linear combination of a1, a2, and a3. b = (-1) a1 + (-3) a2 + (-4) a3. This can be seen by subtracting b from each of a1, a2, and a3 and solving the resulting equations for the appropriate coefficients. The resulting system of equations has a solution, showing that b can indeed be expressed as a linear combination of a1, a2, and a3. This means that b is in the span of a1, a2, and a3, and thus in W.

There are three vectors in (a1, a2, a3): a1, a2, and a3. The span of a1, a2, and a3, or W, is a subspace of the vector space containing a1, a2, and a3, so W contains the same number of vectors as (a1, a2, a3): three. It is also worth noting that any vector in W can be expressed as a linear combination of a1, a2, and a3, but that a linear combination of these vectors is not necessarily in W (as is the case with b).

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Answer:

A) 3rd day

B) 5th day

C) 4th and 5th day

D) 23 fans

E) 223 fans

Step-by-step explanation:

A) Lowest number of fans sold is 30.

Least number of fans were sold on the 3rd day of the sale.

______________________________________________________

B) Number of fans sold on 3rd day = 30

To find the twice the number of 30, multiply 30 by 2.

Twice of 30 = 2 * 30 = 60

60 fans were sold on the 5th day of the sale.

______________________________________________________

C)  Shopkeeper sold more than 50 fans on 4th day (54 fans) and on the 5th day (60 fans).

______________________________________________________

D) Number of fans sold on day 1 = 37 fans.

    Number of fans sold on day 5 = 60 fans

                                     Difference = 60 - 37

                                                        = 23 fans

_______________________________________________________

E) To find the total fans sold, add all the fans sold on these 5 days.

  Total = 37 + 42 + 30 + 54 + 60

           = 223

________________________________________________________

Subtraction property of equality

====================================================

Reason:

We subtract 18 from both sides to go from 4x+18 = 78 to 4x = 60

So we use the aptly named subtraction property of equality.

In general that rule is if a = b, then a-c = b-c