Answer:

Answer:4y-5x=5

Step-by-step explanation:

Answer:

**Answer:**

y = 4/5x + 1

**Step-by-step explanation:**

y = mx + b

m = slope

b = y-intercept

y = 4/5x + 1

Mr. Ruiz drove 205 miles in 5 hours on Saturday and 180 miles in 4 hours on Sunday. What was his average speed, in miles per hour, for the two days

Can someone help me with this please?

Хf(x)What is the initial value of the exponential functionrepresented by the table?-218e8-114012111222

In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is . Suppose six random games of tic-tac-toe are played. What is the probability that at least one of them will end in a draw?

A square is a figure with four sides of equal length and four right anglesa)conditional statementb)postulatec)definitiond)conjecture

Can someone help me with this please?

Хf(x)What is the initial value of the exponential functionrepresented by the table?-218e8-114012111222

In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is . Suppose six random games of tic-tac-toe are played. What is the probability that at least one of them will end in a draw?

A square is a figure with four sides of equal length and four right anglesa)conditional statementb)postulatec)definitiond)conjecture

2+3x=62

3x=60

x=20

Hope this helps! Brainliest? :D

**Answer:**

x = -8

**Step-by-step explanation:**

Step 1: Write equation

1/2x + 13 = 9

Step 2: Solve for *x*

- Subtract 13 on both sides: 1/2x = -4
- Multiply both sides by 2: x = -8

Step 3: Check

*Plug in x to verify it's a solution.*

1/2(-8) + 13 = 9

-4 + 13 = 9

9 = 9

**Answer:**

-8

**Step-by-step explanation:**

you use inverse operation

meaning opposite signs

subtract -13 from 13 cross it out

subtract 13 from 9

you get 1/2x=-4

divide 1/2 on both sides

-4 divided by 1/2 =-8

Split up the integration interval into 4 subintervals:

The left and right endpoints of the -th subinterval, respectively, are

for , and the respective midpoints are

- Trapezoidal rule

We approximate the (signed) area under the curve over each subinterval by

so that

- Midpoint rule

We approximate the area for each subinterval by

so that

- Simpson's rule

We first interpolate the integrand over each subinterval by a quadratic polynomial , where

so that

It so happens that the integral of reduces nicely to the form you're probably more familiar with,

Then the integral is approximately

Compare these to the actual value of the integral, 3. I've included plots of the approximations below.

The question is asking to **approximate **the definite integral of 1 + cos(x) from 0 to π/2 using the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule for n=4. These are numerical methods used for approximating integrals by estimating the area under the curve as simpler shapes.

This question asks to use several mathematical rules, specifically the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule, to approximate the given integral with a specified value of n which is 4. The integral given is the function 1 + cos(x) dx from 0 to π/2. Each of these rules are techniques for approximating the definite integral of a function. They work by estimating the region under the graph of the function and above the x-axis as a series of simpler shapes, such as trapezoids or **parabolas**, and then calculating the area of these shapes. The 'dx' component represents a small change in x, the variable of integration. The cosine function in this integral is a trigonometric function that oscillates between -1 and 1, mapping the unit circle to the x-axis. The exact solution would require calculus, but these numerical methods provide a close approximation.

#SPJ11

**Answer:**

true. zero is an integer number

**Step-by-step explanation:**

**Answer:**

True, it is Known as a neutral integer Because it is neither negative or positive whole number

**Step-by-step explanation:**

**Answer:**

0.5 = 50% probability that he or she is not in any of the language classes.

**Step-by-step explanation:**

We treat the number of students in each class as **Venn sets.**

**I am going to say that:**

Set A: Spanish class

Set B: French class

Set C: German class

We start building these sets from the intersection of the three.

**In addition, there are 2 students taking all 3 classes.**

This means that:

**6 that are in both French and German**

This means that:

So

4 French and German, but not Spanish.

**4 that are in both Spanish and German**

This means that:

So

2 Spanish and German, but not French

**12 students that are in both Spanish and French**

This means that:

So

10 Spanish and French, but not German

**16 in the German class.**

This means that:

8 in only German.

**26 in the French class**

10 only French

**28 students in the Spanish class**

14 only Spanish

**At least one of them:**

The sum of all the above values. So

**None of them:**

100 total students, so:

**(a) If a student is chosen randomly, what is the probability that he or she is not in any of the language classes?**

50 out of 100. So

50/100 = 0.5 = 50% probability that he or she is not in any of the language classes.

**Answer:**

**Iteration 1: **

**Iteration 2: **

**Step-by-step explanation:**

**Formula for Newton's method is, **

Given the initial guess as , therefore value of n = 1.

Also, .

**Differentiating with respect to x**,

Applying **difference rule** of derivative,

Applying **power rule and constant rule** of derivative,

Substituting the value,

**Calculating the value of and **

Calculating

Calculating ,

Substituting the value,

**Therefore value after second iteration is **

Now use as the next value to calculate second iteration. Here n = 2

Therefore,

**Calculating the value of and **

Calculating

Calculating ,

Substituting the value,

**Therefore value after second iteration is **

To calculate two iterations of Newton's Method, use the formula **xn+1 = xn - f(xn)/f'(xn)**. Given an initial guess of x1 = 1.6 and the function f(x) = x9 - 9, calculate f(xn) and f'(xn) at x1 and then use the formula to find x2 and x3.

To calculate two iterations of Newton's Method, we need to use the formula:

xn+1 = xn - f(xn)/f'(xn)

Given an initial guess of x1 = 1.6 and the function f(x) = x9 - 9, we can proceed as follows:

- Calculate f(xn) at x1: f(1.6) = (1.6)9 - 9 = 38.5432
- Calculate f'(xn) at x1: f'(1.6) = 9(1.6)8 = 368.64
- Calculate x2: x2 = 1.6 - f(1.6)/f'(1.6) = 1.6 - 38.5432/368.64 =
**1.494** - Repeat the process to find x3 using the updated x2 as the initial guess.

#SPJ3