student were asked to choose their favorite subject if 4/8 of the student chose history and 3/8 chose biology what fraction chose either history or biology

We have proved that the Newton-Raphson iteration formula for solving the equation[tex]x^k e^x = 0[/tex] is given by [tex]x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.[/tex]

To prove that the Newton-Raphson method for solving the equation [tex]x^k e^x = 0[/tex], where k is a constant, is given by the formula

[tex]x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n,[/tex]

we can start by considering the iterative process of the Newton-Raphson method.

Given an initial guess [tex]x_n[/tex], we want to find a better approximation [tex]x_{n+1}[/tex]that is closer to the root of the equation [tex]x^k e^x = 0.[/tex]

The Newton-Raphson method involves the following steps:

Calculate the function value [tex]f(x_n) = x_n^k e^x_n[/tex] and its derivative [tex]f'(x_n) = k x_n^(k-1) e^x_n.[/tex]

Find the next approximation x_{n+1} by using the formula:

[tex]x_{n+1} = x_n - f(x_n) / f'(x_n)[/tex]

Let's apply these steps to our equation [tex]x^k e^x = 0[/tex]:

Calculate the function value and its derivative:

[tex]f(x_n) = x_n^k e^x_n\\f'(x_n) = k x_n^(k-1) e^x_n[/tex]

Find the next approximation x_{n+1} using the formula:

[tex]x_{n+1} = x_n - f(x_n) / f'(x_n)[/tex]

Substituting the function value and its derivative:

[tex]x_{n+1} = x_n - (x_n^k e^x_n) / (k x_n^(k-1) e^x_n)\\= x_n - (x_n^k / k)[/tex]

Simplifying the expression by combining like terms:

[tex]x_{n+1} = x_n - (x_n^k / k)\\= x_n - x_n^k / k\\= (k - 1) x_n + x_n^2 / k + x_n[/tex]

Therefore, we have proved that the Newton-Raphson iteration formula for solving the equation[tex]x^k e^x = 0[/tex] is given by [tex]x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.[/tex]

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Answer:

I think it is the first one because its a perfect mirror to the other when rotated 90%.pls tell me if I am wrong :(

Step-by-step explanation:

Answer:

Its D because 2×2×2 equals 8 and they are both minus and knowing - times - makes + so it becomes 8

Answer:

B.) -1/8

Step-by-step explanation:

You flip the problem because of the negative exponent

[tex]\frac{1}{-2^3}[/tex]

This makes the exponent positive

Expand the denominator

(-2) * (-2) * (-2) = 4*(-2) = -8

1/-8 = -1/8

Answer:

5.375

Step-by-step explanation:

Compound interest formula:

Total = start value x ( 1 + rate/compound rate) ^( compound rate x time)

Total = 4,465(1 + .03/365)^(365x5)

Total = $5,187.56

The balance after 5 years will be $5177 and 10 cents.

How to calculate compound interest?

Compound interest is calculated by following formula:

[tex]A(1+\frac{r}{n})^{nt}[/tex]

Here:

A=principle amount=$4465

r=rate of interest/100=3/100=0.03

n=no. of days interest is applied=365 days

t=time period of interest=5 years

Putting all the values in the formula we get:

[tex]4465(1+0.03/365)^{365*5}=$5177.1[/tex]

Therefore, The amount at the end will be $5177 and 10 cents.

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Answer:

It would be 6 miles per hour

Step-by-step explanation:

the points are right above of 5 so it would have to be 6.

Answer:

then only 2 rows are full

Step-by-step explanation:

im confused but if thats it then thats the answer if im right mark me brainliest

:>

Answer:

.00001

1*10^-5

Answer:

Verifal angles I think but I'm not necessarily sure!!!

Answer:

Second and third answer

Step-by-step explanation:

Correct :

Second : 30,31,32

this is because it makes it GREATER than 10 and we are looking for equal or greater than 10.

Third : 30 , 29 , 28

Again same reason

Wrong :

First : 0

This is wrong because it would plug in as (0)(6) + 5 ≥10

solve it :

0*6 = 0 so

0+5 ≥10 , so i tis wrong

Last option : -30,-29,-28

This is because multiplying negative with positive number woulf get a negative number. And the adding 5 would make it greater but wont be enough to change it to a positive number equal to or greater than 10.

Answer:

The 100-meter dash is over in a flash, but so much goes on in those 10 ... it and how the top sprinters approach the Olympics' marquee track and field event. ... time of 9.63 seconds, nearly 2.5 seconds faster than Burke ran in 1896. ... The total strides in the 100 range from 40-41 for Bolt to around 50 for the top women.

Step-by-step explanation:

Answer: The number of times a blue cube will be drawn is 395 times.

Step-by-step explanation: So since the original amount a blue cube got drawn is 79 and they did it 240 times, we can set up a ratio.

79/240  = x/1200

We use 1200 since the question asks us how many times a blue cube will be drawn if they did the experiment 1200 times. To solve x, multiply 1200 and 79 and you get 94,800. Then divide that by 240, which is 395. Therefore it will get drawn 395 times.

Hope this helps.

Answer:

1.c

2.b

3.a

4.d

5.c

Step-by-step explanation:

please click the heart and rate excellent and brainleist to ☻❤☺️☺️❤☻

Looking at the column for number of passengers killed.

The lowest year was 1975 with 441 killed.

Answer:

1975

441

Step-by-step explanation:

Answer:

4 times larger

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

this uses the distribution property

first plug in 2 for d

5(10+2)

then distribute the 5 to both numbers in the parentheses

50+10=60

Answer:

The answer is 60

Step-by-step explanation:

First you have to plug in the 2 in place of the variable in the equation. Then add 10+2 first. After you add you will get 12, now you do 5x12 and get 60

Answer:

(-1,7)

Step-by-step explanation:

Equations:

x + y = 6

y + 3x = 4

Slope-Intercept Form:

y = -x + 6

y = -3x + 4

Graph:

Graph them yourself!

(On the graph they intersect at -1,7)

The value of the number is x = 34.

Let's break down the problem and solve it step by step.

1. "Five less than twice the value of a number": This can be represented as 2x - 5, where x is the number.

2. "Three times the quantity of 4 more than 1/2 the number": This can be represented as 3 * (x/2 + 4).

According to the problem statement, the two expressions are equal. We can set up the equation as follows:

2x - 5 = 3 * (x/2 + 4)

Now, let's solve the equation:

2x - 5 = 3 * (x/2 + 4)

Distribute the 3 to both terms inside the parentheses:

2x - 5 = (3/2)x + 12

Multiply through by 2 to eliminate the fraction:

2(2x - 5) = 2((3/2)x + 12)

4x - 10 = 3x + 24

Next, let's isolate the x term by moving the constant terms to the other side of the equation:

4x - 3x = 24 + 10

Simplify:

x = 34

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Answer:

1 x 24, 2 x 12, 3 x 8, and 4 x 6.

Hope this helps

Have a great day

Step-by-step explanation:

Answer:

8+8+8 is the answer give brainliest

Answer:

the probability that he will not win is 2/5 cause it's just the chance that he doesn't win

Answer:

38º

Step-by-step explanation:

the angles that are across from each other like

are equal.

So, <6 = 38º (This is also because of the Vertical Angle Theorem / VAT)

Answer:

it will be 300 feet tall and 1000 feet wide

Step-by-step explanation:

The height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

[tex]y=ba^x+c[/tex]

Here, a,b and c are the real numbers.

The arch support of a bridge can be modeled by the following function,

[tex]y=-0.0012x^2+300[/tex]

Here, x and y are measured in feet.

The height and width of the arch has to be found out. First, find the x intercept of the function. As at the x intercept, the y equal to zero. Therefore,

[tex]0=-0.0012x^2+300\\0.0012x^2=300\\x=\sqrt{25000}\\x=500[/tex]

As, the graph is symmetric around the y-axis. Thus, the -500 can also be a solution. Now, the width of the arch can be given as,

[tex]w=500-(-500)\\w=1000\rm ft[/tex]

Now similarly at x equal to zero, the function will be,

[tex]y=300[/tex]

Hence, the height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.

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Answer:

3 quarts

Step-by-step explanation:

First, find how many quarts of antifreeze is in the mixture.

0.4 x 6 = 2.4

Now, make it into a fraction by putting the antifreeze amount over the rest so:

2.4/6

Now add + a at the end of the numerator and bottom to make:

2.4 + a/ 6 + a.

Now, turn the percentage you want to strengthen or weaken the mixture into a percentage. So, 3/5.

Now, make it an expression by adding = 3/5 at the end of the equation.

2.4 + a/ 6 + a = 3/5

Now, use cross multiplication.

12 + 5a = 18 + 3a

Now, solve the equation.

12 + 5a = 18 + 3a

-3a. -3a

12 + 2a = 18

-12. -12

2a = 6

/2. /2

a = 3.

Therefore, the answer is 3 quarts.

Answer

87.72

Step-by-step explanation:

7.5% of 68 is 5.1 so 68+5.1=73.1

20% of 73.1=14.62 sooooo                        14.62+73.1=87.72

Answer:

19 or √145 ≈ 12.04

Step-by-step explanation:

Use the distance formula to determine the distance between the two points.

Distance  =  √ ( x ₂  −  x ₁ )²  +  ( y ₂  −  y ₁ ) ²

Substitute the actual values of the points into the distance formula.

√ ( 4  −  (  −  5 )) ²  +  ( ( − 5 ) − 3 ) ²

Simplify:  

√ 145

The result can be shown in multiple forms.

Exact Form:

√ 145

Decimal Form:

12.04159457  … ≈ 12.04