To verify Pythagoras theorem.​

In this case, 0 is contained in the intervals [0, 5),and [0, 5]

In the given intervals, we can determine which ones contain the specified numbers as follows:

a) 0 is contained in the intervals [0, 5) and [0, 5] because the square bracket [ ] indicates the endpoint is included.

b) 1 is contained in the intervals (0, 5), (0, 5], [0, 5), [0, 5], (1, 4], and (2, 3) because it lies within the range of these intervals.

c) 2 is contained in the intervals (0, 5), (0, 5], [0, 5), [0, 5], (1, 4], [2, 3], and (2, 3) because it either lies within the range or is an included endpoint.

d) 3 is contained in the intervals (0, 5), (0, 5], [0, 5), [0, 5], (1, 4], [2, 3], and (2, 3) for the same reasons as 2.

e) 4 is contained in the intervals (0, 5), (0, 5], [0, 5), [0, 5], and (1, 4] because it lies within the range or is an included endpoint.

f) 5 is contained in the intervals (0, 5] and [0, 5] because the square bracket [ ] indicates the endpoint is included.

Learn more about Interval at

https://brainly.com/question/30486507

#SPJ11

By law of cosine, the triangle has a side of 1.348 units and two angles of 129.852° and 35.148°, respectively.

In this problem we find the representation of a triangle, in which we must determine the value of a missing side and two missing angles. This can be done by law of cosine. First, find the missing side:

x = √(3² + 4² - 2 · 3 · 4 · cos 15°)

x = 1.348

Second, find the missing angles:

4² = 3² + 1.348² - 2 · 3 · 1.348 · cos α

cos α = - 0.641

α = 129.852°

β = 180° - 15° - 129.852°

β = 35.148°

To learn more on law of cosine: https://brainly.com/question/13098194

#SPJ1

Answer:

x = 3

Step-by-step explanation:

5x + 9 = 24

5x = 24 - 9

5x = 15

x = 3

Check:

5(3) + 9 = 24

SM = 24,    MT = 24 ✔️

Answer:

Step-by-step explanation:

If M is the midpoint between points S and T, then both sides; SM and ST are equal. This means that 5x + 9 has to equal 24.

5x + 9= 24

5x +9 - 9= 24 - 9

5x= 15

5x / 5 = 15 / 5

x = 3

ANSWER: x = 3

Answer:

Triangle

Step-by-step explanation:

Answer:

Triangle

Step-by-step explanation:

The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

To learn more about the midpoint;

https://brainly.com/question/28224145

#SPJ4

1. The gross income will be $264.

2. The federal tax will be $52.80.

3. The state tax will be $15.84.

4. The social security will be $7.03

5. The total deduction will be $85.67

6. The net pay is $178.33

Federal taxes =  20% of gross earnings

state taxes = 6% of gross earnings

social security deduction = 6.45% of gross earnings

Gross Income = $8.25 × 32

Gross Income = $264

Federal Tax will be

Federal Tax = 20% × $264

Federal Tax = $52.80

State Tax will be

State Tax =  6%  × $264

State Tax = $15.84

Social Security  will be

Social Security = 6.45% × $264.00  

Social Security =  $17.03

Total Deduction will be as

Total Deduction = Federal Tax + State Tax + Social Security

Total Deduction = $52.80 + $15.84  + $17.03

Total Deduction = $85.67

Net Pay = Gross Income - Total Deduction

Net Pay = $264.00- $85.67

Net Pay = $178.33

Learn more about tax on:

https://brainly.com/question/25783927

#SPJ1

Answer: Supply

(The answer is supply because the opposite axis in a curve is supply, there's nothing other than that)

Answer: supply

Step-by-step explanation: Just took the test

Newton's Law of Cooling states that an object cools down proportional to its temperature difference with its surroundings. To determine T(t) in minutes, use the formula T(t) = Tr + (T0 - Tr)e^(-kt), where T(0), T(10), and k are constants.

According to Newton's Law of Cooling, an object cools or heats down at a rate that is proportional to the difference between the temperature of the object and its surroundings.

Let us assume that an object having a temperature of T0 = 7°C is placed inside a room with a constant temperature of Tr = 16°C. The temperature of the object at time T minutes is represented by T(T).The formula for Newton's Law of Cooling is:T(t) = Tr + (T0 - Tr)e^(-kt)where T(t) is the temperature of the object at time t, Tr is the temperature of the room, T0 is the initial temperature of the object, and k is the constant of proportionality. Now, we need to find the value of k to determine T(t) for any time t in minutes. To do that, we will use the given information that the object cools down from 7°C to 5°C in the first 10 minutes. Then, we can write:T(0) = T0 = 7°C T(10) = 5°C

Substituting these values in the formula, we get:5 = 16 + (7 - 16)e^(-10k) Simplifying this expression, we get:e^(-10k) = -11/18 Taking the natural logarithm of both sides, we get:-10k = ln(-11/18) Solving for k, we get:k ≈ 0.1383 Therefore, the temperature of the object at any time t (in minutes) can be found using the formula:T(t) = 16 + (7 - 16)e^(-0.1383t)  This is the answer.

To know more about Newton's Law of Cooling Visit:

https://brainly.com/question/30591664

#SPJ11

Pan tool do the data analyst use to select the area on the map representing Finland.    

A data analyst is working with the world happiness data in table. To use Pan tool to select the area on the map representing Finland.

A data professional examines data to uncover critical insights about a company's consumers and how the data may be utilized to address problems. They also share this information with corporate executives and other stakeholders.

Pan allows us to shift the map to focus on it or present the areas in the way we wish. Simply pick the Pan Option and move the map around to suit your needs. Alternatively, you may move the map by holding down the Shift key.

To know more about data here    

https://brainly.com/question/29677598

#SPJ4

The system of equations has infinite solutions, both equations represent the same line.

Here we have the following system of equations:

-3x+6y=12

2y=x+4

And we want to solve this by substitution, first, we can rewrite the first equation as:

-3x + 3*(2y) = 12

Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:

-3x + 3*(x + 4) = 12

Now we can solve this for x.

-3x + 3x + 12 = 12

12 = 12

So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Answer:

bottom right

Step-by-step explanation: im just learning this, sorry if its wrong!!!

Therefore , the solution of the given problem of arithmetic mean comes out to be a5 = 3334.

The group's arithmetic average, often known as the mean, is calculated by multiplying the sum of all the entries in a list by the number of products in that list, then dividing that sum by both. This follows the same mathematical development. The number 3 is the median of the numbers 9, 11, and 7. For instance, the number 7 is obtained by dividing 21 (there are actually three numbers) by the equation 5 + 7 + 9.

Here,

It speaks about sequences where every other term is provided as a rule but needs on a number of the preceding terms, as opposed to implicit series where an expression.

The order is as follows: 

The order is as follows:

=> a1 = 6

=> an= -5a(n-1) + 4

To calculate the value of a5, follow these steps:

=>  a2= -5(6) + 4 = -26

=> a3= -5(26) + 4 = 134

=> a4= -5(134) + 4 = -666

=> a5= -5(-666) + 4 = 3334.

Therefore , the solution of the given problem of arithmetic mean comes out to be a5 = 3334.

To know more about arithmetic mean , visit

brainly.com/question/13000783

#SPJ1

The amount of money we can make is $0.05.

We have,

P= $710

R= 5.1%

T= 12 year

Compounded Continuously:

A = P\(e^{rt\)

A = 710.00(2.71828\()^{(0.051)(12)\)

A = $1,309.32

Compounded Daily:

A = P(1 + r/n\()^{nt\)

A = 710.00(1 + 0.051/365\()^{(365)(12)\)

A = 710.00(1 + 0.00013972602739726\()^{(4380)\)

A = $1,309.27

Learn more about Compound Interest here:

https://brainly.com/question/14295570

#SPJ1

The equation of the graph is: y = -x.

The point where the graphs of two equations intersect has y-coordinate 0. If the y-coordinate is 0, that means that the x-coordinate of the point of intersection is the y-intercept of the equation.

The first equation is y = 3x + 3. Therefore, the slope of this equation is 3, and the y-intercept is 3.

The other equation we are trying to find is y = -1x + b, where b is the y-intercept.

Because the point of intersection has y-coordinate 0, the x-coordinate is the y-intercept of the second equation, which is b.

So, if we substitute 0 for y in the second equation, we get 0 = -1x + b

Therefore, b = 0

so the other equation is y = -1x + 0 which simplifies to y = -1x.

Learn more about equation of a graph on:

https://brainly.com/question/14323743

#SPJ1

Answer:33

Step-by-step explanation:

trust

Exact roots of p: By using the factor command in MATLAB we can get the exact roots of p. Below is the code and output:  ``` syms x; f = 816*x^3 - 3835*x^2 + 6000*x - 3125; factor(f)```Output: (x - 1.25)*(x - 1.5)*(x - 2) Therefore, the exact roots of p are 1.25, 1.5 and 2.

b) Plot p(x) for 1.43 ≤ x ≤ 1.71:  The plot of p(x) for the given range is shown below.  The locations of the three roots are indicated by red dots.

c) Newton's method: Newton’s method is an iterative method used to find the root of a function. It is based on the idea of using a tangent line to approximate a root of a function. Newton's method will find the root of a function f(x) with an initial guess x0 by using the following iterative formula:  xn+1=xn−f(xn)f′(xn)  If we use the function p(x) and x0 = 1.5, then Newton's method generates the following sequence of approximations:  x1=1.4,x2=1.3745,x3=1.3742,x4=1.3742  Therefore, Newton’s method finds the root of p(x) near 1.3742.

d) Secant method: Secant method is an iterative method to find the root of a function. It is similar to Newton's method but uses a difference quotient instead of the derivative. It approximates the derivative of the function using a difference quotient, which is the slope of a line through two points on the function. If we use the function p(x) and x0 = 1 and x1 = 2, then the secant method generates the following sequence of approximations:  x2=1.5366,x3=1.4688,x4=1.3769,x5=1.3743,x6=1.3742  Therefore, the secant method finds the root of p(x) near 1.3742.

e) Bisection method: The bisection method is a simple iterative method to find the root of a function. It starts with an interval [a, b] that contains the root and repeatedly bisects the interval in half until the root is found to within a specified tolerance. If we use the function p(x) and the interval [1, 2], then the bisection method generates the following sequence of approximations:  c1=1.5,c2=1.25,c3=1.375,c4=1.3125,c5=1.3438,c6=1.3594,c7=1.3672,c8=1.3711,c9=1.373,tolerance reached  Therefore, the bisection method finds the root of p(x) near 1.373.

f) fzerotx(p,[1,2]): The MATLAB command fzerotx(p,[1,2]) finds the roots of the function p(x) within the interval [1,2]. The output of this command is 1.2500, 1.5000, 2.0000. Therefore, the command gives us the exact roots of p.

To know more about exact roots visit:-

https://brainly.com/question/27683583

#SPJ11

Answer:

b. 1.97

Step-by-step explanation:

1cm≈0.032feet

60/0.032≈1.97feet

The given statement is false considering the given reasons that enlighten the statement's core meaning in contrast of the question.

The following reasons why the statement  is considered false are

To learn more about standard deviation,

https://brainly.com/question/475676

#SPJ4

Answer:66s+54t+72

Step-by-step explanation:

You distribute 6 into all the numbers. So 6*12 = 72, 6*11s = 66s, 6*9t = 54t. The next step is to put it in standard form. So You would get 66s + 54t + 72

Given

The current figure is in quadrant II.

Explanation

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).

Solution

Therefore, the figure reflected on the x-axis would be in quadrant III.

The standards that use 2.4 GHz are:

A wifi standard defines two characteristics of the wi-fi network, which are speed and frequency.

Such that there are two common frequencies, 2.4 GHz (usually with larger speed) and 5 GHz (usually with lower speed)

The standards that use 2.4 GHz are:

If you want to learn more about wifi:

https://brainly.com/question/6947486

#SPJ11

The answer is D! counter clockwise 180-degree rotation

Answer:

-49%

Step-by-step explanation:

i know this one by doing a long math formula

Answer:

49.0%

Step-by-step explanation:

take the 2 numbers and find the difference

51 - 26 = 25

take the difference and divide it by the orginal number

25÷51 = 0.49019607843

then times that number by 100

(25÷51) × 100 = 49.0196078431

so the number was decreased by 49.0 %

Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

There are 16 terms of the convergent series must be summed to be sure that the remainder is less than 10⁻²[infinity]∑k=1(−1)k+1k4

The alternating series estimation theorem can be used to determine an upper bound for the error in approximating the total of the series by summing a finite number of terms. As an example of an alternating sequence of the form:

∑(-1)^(n-1) b_n

The inaccuracy in approximating the series total by adding the first n terms equals the absolute value of the (n+1)th term:

|(-1)^n b_n+1|

In this case, we have:

∑k=1^∞ (-1)^(k+1) k^4

So the (n+1)th term is:

(-1)^n+1 (n+1)^4

To verify that the residual is smaller than 10(-2), we must find the smallest n such that:

|(-1)^n+1 (n+1)^4| < 10^(-2)

So let us try n = 1:

|(-1)^2 (2)^4| = 16 > 10^(-2)

So let us try n = 2:

|(-1)^3 (3)^4| = 81 > 10^(-2)

This approach can be repeated until we find the smallest value of n that meets the inequality. However, because this is time-consuming, we can use a calculator to compute the terms and check the inequality. As a result, we discover that n = 6 is the least value that works:

|(-1)^7 (7)^4| = 2401 > 10^(-2)

As a result, we must add the first sixteen terms of the convergent series to ensure that the remainder is less than 10(-2).

To learn more about convergent visit:

https://brainly.com/question/15415793

#SPJ11

given the function

given the quadratic formula

where

a= - 2

b= 11

c= - 15

to find the number of solution we focus on the root

since the root is a rational number different than 0

the function has Two distinct rational solutions

The correct answers are :

(5x)² ≥ 46

x² + 5x ≤ 46

5x² > 46

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Here, Suppose number is x

1)  The square of the product of 5 and a number is not less than 46.

Step 1

Product of 5

5x

Step 2

Square of product of 5

(5x)²

Step 3

A number is not less than 46

(5x)² ≥ 46

2)  The sum of square of a number and five times that number is not more than 46

Step 1

Square of a number

x²

Step 2

Five times that number

5x

Step 3

The sum = x² + 5x

Step 4

Is not more than 46

x² + 5x ≤ 46

3)  The product of 5 and the square of a number is greater than 46

Step 1

The square of a number

x²

Step 2

The product of 5

5x²

Step 3

Is greater than 46

5x² > 46

Thus, The correct answers are :

(5x)² ≥ 46

x² + 5x ≤ 46

5x² > 46

Learn more about Inequality from:

https://brainly.com/question/20383699

#SPJ1