4,914÷7=
4
,
914
÷
7
=

We find that the approximation converges to 9.74679419, accurate to eight decimal places. So, the square root of 95, approximated using Newton's method, is 9.74679419.

Newton's method is a way to approximate the roots of a function. In this case, we want to approximate the square root of 95 correct to eight decimal places. To use Newton's method, we start with an initial guess and then apply the following formula repeatedly:
x1 = x0 - f(x0) / f'(x0)
where x0 is our initial guess, f(x) is the function we are trying to find the root of (in this case, f(x) = x^2 - 95), and f'(x) is the derivative of f(x) (which is 2x).
Let's start with an initial guess of 10:
x1 = 10 - (10^2 - 95) / (2 * 10) = 5.75
We can continue this process, plugging in our new guess into the formula each time, until we reach a value that is accurate to eight decimal places. After a few iterations, we get:
x8 = 9.74679434
This is our final answer, correct to eight decimal places.
Using Newton's method, we can approximate the square root of a number, such as 95, to eight decimal places. Newton's method is an iterative process that starts with an initial guess and refines the guess using the formula:
x1 = x0 - f(x0)/f'(x0)
For square root approximation, f(x) = x^2 - a, where a is the number we want to find the square root of (95 in this case), and f'(x) = 2x.
Let's start with an initial guess x0 = 9 (since 9^2 = 81 is close to 95). We can then perform the following iterations:
1. x1 = 9 - (9^2 - 95)/(2*9) ≈ 9.72222222
2. x2 = 9.72222222 - (9.72222222^2 - 95)/(2*9.72222222) ≈ 9.74679424
3. x3 = 9.74679424 - (9.74679424^2 - 95)/(2*9.74679424) ≈ 9.74679419
Continuing this process, we find that the approximation converges to 9.74679419, accurate to eight decimal places. So, the square root of 95, approximated using Newton's method, is 9.74679419.

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Answer:

What's a central angle?

the central angle is 90 °

Answer:

n*2=2

Step-by-step explanation:

Product signifies multiplying two or more numbers together. In this instance, it is n and 2. Then it says it is equal to 2, so 2 goes on the other side of the equal sign.

The first step in hypothetical-deductive reasoning is to formulate a hypothesis. A hypothesis is an educated guess or prediction based on observations and previous knowledge. It is a statement that can be tested and possibly falsified through further observations and experiments. Once a hypothesis is formulated, the next step is to design an experiment or observation to test it. This involves identifying variables that can be manipulated or measured and determining the methods for manipulating or measuring them. After the experiment or observation is conducted, the data are analyzed and conclusions are drawn based on the results. The conclusions may confirm or reject the hypothesis, leading to further refinement of the hypothesis or the development of a new hypothesis.

The first step in hypothetical-deductive reasoning is the formulation of a hypothesis.

Hypothetical-deductive reasoning starts with the formulation of a hypothesis, which serves as a tentative explanation or prediction for a given phenomenon or problem. In this process, an individual or researcher uses their knowledge, observations, and previous information to generate a possible solution or explanation.

The formulation of a hypothesis involves considering the available evidence, conducting research, and analyzing the existing data. It requires critical thinking and creativity to develop a logical and testable statement that can be further investigated. The hypothesis should be specific, clear, and based on logical reasoning.

Once a hypothesis is formulated, it serves as a starting point for the deductive phase of reasoning. Deductive reasoning involves making specific predictions or deriving logical consequences based on the hypothesis. These predictions can then be tested through empirical research or experiments to evaluate the validity of the hypothesis and gather further evidence.

Overall, the first step in hypothetical-deductive reasoning is the formulation of a hypothesis, providing a framework for subsequent investigation and the generation of testable predictions.

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Answer:

C≈97.39in

Step-by-step explanation:

Answer:97.39

Step-by-step explanation:

Answer:

percentage=73.33%

Step-by-step explanation:

percentage=99/135x100

                  =0.7333x100

                  =73.33%

please mark as brainliest

73% 135 divided by 73 = 98.55

71.5° should be the angle of elevation to the summit of the tree. The tree to the nearest foot is 149.4ft.

Between the horizontal line and the line of sight, an angle called the angle of elevation is created. An angle of elevation is produced when the line of sight is upward from the horizontal line. When it lies between the line of sight and the horizontal line, the angle of elevation is generated. The angle created, known as the angle of elevation, occurs when the line of sight is above the horizontal line. However, the line of sight is downward toward the horizontal line in the depression angle. The angle of elevation is the angle formed by the horizontal line of sight and the object when a person stands and looks up at something.

tan 71.5°=opp/hyp

tan 71.5°=y/50

y=50(tan 71.5°)

y=50(tan 71.5°)

y=50(2.98868)

y=149.4ft

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The number of solutions to x₀ + x₁ + ... + \(x_{k}\) = n with each value of x to be a non-negative integer xₐ is (n +  k).

Solved using the technique of stars and bars, also known as balls and urns.

Imagine you have n identical balls and k+1 distinct urns.

Distribute the balls among the urns such that each urn has at least one ball.

First distribute one ball to each urn, leaving you with n - (k+1) balls to distribute.

Then use k bars to separate the balls into k+1 groups, with the number of balls in each group corresponding to the value of xₐ.

For example, if the first k bars separate x₀ balls from x₁ balls, the second k bars separate x₁ balls from x₂ balls, and so on, with the last k bars separating \(x_{k-1}\) balls from \(x_{k}\) balls.

The number of ways to arrange n balls and k bars is (n + k) choose k, or (n +k) choose n.

This is the number of solutions to x₀ + x₁ + ... + \(x_{k}\) = n, where each xₐ is a non-negative integer.

Therefore, the number of solutions to x₀ + x₁ + ... + \(x_{k}\) = n with non-negative integer xₐ is (n +  k).

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The price of crude oil in 3.24 ¢ /cup.

A conversion factor is a number that is used to multiply or divide one set of units into another.

Some conversion factors are-

One gallon = 4 quarts;

4 cups = 1 quart

( ¢ =cents)

Now, as per the given question;

The crude oil was sold at $21.75 per barrel.

The volume of the barrel is 42 gallons.

Let 'P' be the total price of crude oil in ¢ /cup.

To determine the price in cents per cup, we must use the conversion factors:

Price P = ($21.75/1 barrel)×(100 ¢/$ 1.00)×(1 barrel/42 gallons)×1 gallon/ 4      quarts)×(1 quartz/ 4 cups).

Simplify the above equation;

Price per cup P = 3.24  ¢ /cup.

Therefore, the price of crude oil is 3.24 ¢ /cup.

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The slope of the red line = 2

The y-intercept of the red line = 3

The x-intercept of the red line = -1.5

The value of sin 315° = -√2/2, cos 9π/4 = √2/2 , tan (-135) = 1°

The study of angles and of the angular relationships of planar and three-dimensional figures is known as trigonometry. The trigonometric functions (also called the circular functions) comprising trigonometry are the cosecant , cosine , cotangent , secant , sine , and tangent .

We can use the following trigonometric identities to find the values ​​of sin, cos, and sun:

sin(x) = sin(x 360°)

cos(x) = cos(x 360°)

tan(x) = tan(x 180°)

Using these identities, we can convert  angles to equivalent angles in the first quadrant, where the values ​​of sin, cos, and sun are known.

sin (315°)

We can convert 315° to the corresponding angle in the first quadrant by subtracting 360°:

315° - 360° = -45°

Since sin(x) = sin(x 360°), we have:

sin(315°) = sin(-45°)

We know that sin(-θ) = -sin(θ), so:

sin(-45°) = -sin(45°)

We also know that sin (45°) = √2/2, so:

sin(315°) = -√2/2

Therefore, the power of 315  is equal to -√2/2.

cos(9π/4)

We can convert 9π/4 to the corresponding angle in the first quadrant by subtracting 2π:

9π/4 – 2π = π/4

Since cos(x) = cos(x 360°), we have:

cos(9π/4) = cos(π/4)

We know that cos(π/4) = √2/2, so:

cos(9π/4) = √2/2

Therefore, cos 9π/4 is equal to √2/2.

tan(-135°)

We can convert -135° to the corresponding angle in the second quadrant by adding 180°:

-135°- 180° = 45°

Since tan(x) = tan(x 180°), we have:

We know that tan(45°) = 1, so:

reddish brown (-135°) = 1

Therefore tan (-135°) equals 1.

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Answer:

15 yards

Step-by-step explanation:

3 feet = 1 yard

45 ÷ 3 = 15

The parametric equations for the line of intersection are:
x = 61 - 5t
y = 2t - 30
z = t

To find the parametric equations for the line of intersection of the given planes, we first need to solve the system of equations:

1. x + 2y + z = 1
2. 2x + 5y + 32 = 4

Step 1: Solve for x from equation 1:
x = 1 - 2y - z

Step 2: Substitute x in equation 2 with the expression found in step 1:
2(1 - 2y - z) + 5y + 32 = 4

Now we can use elimination to solve for one variable. Let's eliminate y by multiplying the first equation by 5 and subtracting it from the second equation:

Step 3: Simplify and solve for y:
2 - 4y - 2z + 5y + 32 = 4
y - 2z = -30

Step 4: Designate z as the parameter t:
z = t

Step 5: Substitute z with t in the expression for y:
y = 2t - 30

Step 6: Substitute z with t in the expression for x:
x = 1 - 2(2t - 30) - t
x = 1 - 4t + 60 - t
x = 61 - 5t

Now we have the parametric equations for the line of intersection:
x = 61 - 5t
y = 2t - 30
z = t

Note that we can choose any value of z for the parameter t, since z is unconstrained.

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Answer:

\(slope=-3\)

Step-by-step explanation:

\(m=\frac{change(y)}{change(x)}\)

Use two points,

(-1,0)(0,-3)

\(m=\frac{0-(-3)}{-1-0}\)

\(m=\frac{3}{-1}\)

\(m=-3\)

Answer:

-3

Step-by-step explanation:

Answer:

height of the tower: 165.8 ft

use tan rule:

\(\sf \sf tan(x)= \dfrac{opposite}{adjacent}\)

Here:                            [ your calculator should be in degree mode [D] ]

Solve:

\(\hookrightarrow \sf \sf tan(37)= \dfrac{t}{220}\)

\(\hookrightarrow \sf t = \sf tan(37)*220\)

\(\hookrightarrow \sf t = 165.8 \ ft\)

Answer:

THE CORRECT ANSWER IS B.)     " -3/2 "

Step-by-step explanation:

If alpha is greater than 90 degrees but beta and gamma are less than 90 degrees, the vector resides in the second octant.


The octant is a three-dimensional coordinate system that is divided into eight parts. Each octant contains vectors with different signs of x, y, and z coordinates. In this scenario, since alpha is greater than 90 degrees, it means that the vector extends from the negative x-axis. Also, beta and gamma are less than 90 degrees, so the vector is pointing upwards in the y and z directions. Therefore, the vector is in the second octant, which includes all vectors with a positive y-coordinate and a negative x and z-coordinate.


If the values of alpha, beta, and gamma are known, it is possible to locate a vector in the octant system. The second octant is defined as a space where the x-coordinate is negative, the y-coordinate is positive, and the z-coordinate is negative.

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Answer:  

I'm trying :)  

Step-by-step explanation:

Answer:

integers are: (4,4,6,6,15)

mode: 4 and 6

median: 6

mean 7

Step-by-step explanation:

these integers have two mode, then we have two "4" and two "6".

The median is 6. With that we know four of the five integers

integers(  4,4,6,6, X)

Because the mean is 7 e can write this equation:

\(\frac{4+4+6+6+X}{5}=7\\\\20+X=35\\X=15\)

Answer:

Step-by-step explanation:

I=Pr

P(r+.005-r)=70-60

.005P=10

P=$2000

Answer:

Step-by-step explanation:

$60 simple interest is received on a loan each year. When the rate of interest is increased by 0.5%, the simple interest is $70. What is the amount of the loan?​

The slope of the line perpendicular to the segment AB is 1/4

The slopes of perpendicular lines are negative reciprocals of each other.

Given the endpoints A(-8.1, 4.9) and B(-7.6, 2.9), the slope of this line is as follows:

(2.9 - 4.9)/[-7.6 - (-8.1)]

= (2.9 - 4.9)/(-7.6 + 8.1)

= -2/0.5

= -4

The negative reciprocal of -4 is 1/4

Therefore, the slope of the line perpendicular to the segment AB is 1/4

Answer:

She has to pay $20078.7 amount.

Step-by-step explanation:

Beth owes 17,000 on her car loan. The interest rate on her loan is 4.25% She will be paying this loan off for 4 years

Answer:

s = \(\frac{19}{4}\)

Step-by-step explanation:

substitute the given values into the equation

s = (10 × \(\frac{1}{2}\) ) + ( \(\frac{1}{2}\) × - 2 × (\(\frac{1}{2}\) )² )

  = 5 + (- 1 × \(\frac{1}{4}\) )

  = 5 - \(\frac{1}{4}\)

  = 4 \(\frac{3}{4}\)

  = \(\frac{19}{4}\)

Answer:

40% discount

Step-by-step explanation:

Take the original price and subtract the new price

20-12

The discount is 8

Divide the discount by the original price

8/20 =.4

Multiply by 100 to get the percent

.4 * 100 = 40%

There is a 40 percent discount

The solution to the inequality -2x + 4 < 16 is x > -6.

To solve the inequality -2x + 4 < 16, you can follow these steps:

Start by isolating the variable term. In this case, the variable term is -2x. Move the constant term, which is +4, to the other side of the inequality by subtracting 4 from both sides:

-2x + 4 - 4 < 16 - 4

-2x < 12

Next, divide both sides of the inequality by the coefficient of x, which is -2. It's important to note that when you divide or multiply an inequality by a negative number, you need to reverse the direction of the inequality sign:

(-2x) / -2 > 12 / -2

x > -6

The solution to the inequality is x > -6. This means that any value of x greater than -6 would satisfy the original inequality. Graphically, this represents all the numbers to the right of -6 on the number line.

So, the solution to the inequality -2x + 4 < 16 is x > -6.

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Answer:

i dont get it, can you please rephrase it?

Answer:

( 4,6)

Step-by-step explanation:

To move the point 2 units to left, subtract 2 from the x coordinate

V'( 6-2,3)

V'( 4,3)

Now we move it 3 units up, which means we are adding 3 to the y coordinate

V' ( 4, 3+3)

V' ( 4,6)

The new point is ( 4,6)

Answer:

I hope the answer is helpful.

Answer:

\(\int\limits {\int\limits_R {7(x + y)e^{x^2 - y^2}} \, dA = \frac{1}{2}e^{42} -\frac{43}{2}\)

Step-by-step explanation:

Given

\(x - y = 0\)

\(x - y = 7\)

\(x + y = 0\)

\(x + y = 6\)

Required

Evaluate \(\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA\)

Let:

\(u=x+y\)

\(v =x - y\)

Add both equations

\(2x = u + v\)

\(x = \frac{u+v}{2}\)

Subtract both equations

\(2y = u-v\)

\(y = \frac{u-v}{2}\)

So:

\(x = \frac{u+v}{2}\)

\(y = \frac{u-v}{2}\)

R is defined by the following boundaries:

\(0 \le u \le 6\)  ,  \(0 \le v \le 7\)

\(u=x+y\)

\(\frac{du}{dx} = 1\)

\(\frac{du}{dy} = 1\)

\(v =x - y\)

\(\frac{dv}{dx} = 1\)

\(\frac{dv}{dy} = -1\)

So, we can not set up Jacobian

\(j(x,y) =\left[\begin{array}{cc}{\frac{du}{dx}}&{\frac{du}{dy}}\\{\frac{dv}{dx}}&{\frac{dv}{dy}}\end{array}\right]\)

This gives:

\(j(x,y) =\left[\begin{array}{cc}{1&1\\1&-1\end{array}\right]\)

Calculate the determinant

\(det\ j = 1 * -1 - 1 * -1\)

\(det\ j = -1-1\)

\(det\ j = -2\)

Now the integral can be evaluated:

\(\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA\) becomes:

\(\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{x^2 - y^2}} \, *\frac{1}{|det\ j|} * dv\ du\)

\(x^2 - y^2 = (x + y)(x-y)\)

\(x^2 - y^2 = uv\)

So:

\(\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{uv}} *\frac{1}{|det\ j|}\, dv\ du\)

\(\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{uv}} *|\frac{1}{-2}|\, dv\ du\)

\(\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{uv}} *\frac{1}{2}\, dv\ du\)

Remove constants

\(\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 {\int\limits^7_0 {ue^{uv}} \, dv\ du\)

Integrate v

\(\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 \frac{1}{u} * {ue^{uv}} |\limits^7_0 du\)

\(\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 e^{uv} |\limits^7_0 du\)

\(\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 [e^{u*7} - e^{u*0}]du\)

\(\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 [e^{7u} - 1]du\)

Integrate u

\(\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{7u} - u]|\limits^6_0\)

Expand

\(\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * ([\frac{1}{7}e^{7*6} - 6) -(\frac{1}{7}e^{7*0} - 0)]\)

\(\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * ([\frac{1}{7}e^{7*6} - 6) -\frac{1}{7}]\)

Open bracket

\(\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{7*6} - 6 -\frac{1}{7}]\)

\(\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{7*6} -\frac{43}{7}]\)

\(\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{42} -\frac{43}{7}]\)

Expand

\(\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{1}{2}e^{42} -\frac{43}{2}\)

Answer:

C. x-2

Step-by-step explanation:

edge

Answer: the 3rd the answer c

x-2

Step-by-step explanation: