Identify the x and y intercepts for this graph

Answer:

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Step-by-step explanation:

4x + 2y + 1 = 0

y = x² + X - 7

4x + 2(x² + X - 7) + 1 = 0

4x + 2x² + 2x -14 + 1 = 0

2x² + 6x - 13 = 0

you can finish up with your almighty formula

The range of the graph of the exponential function is (b) {y | y > 0}

From the question, we have the following parameters that can be used in our computation:

The graph of the exponential function

The rule of an exponential function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is always greater than the constant term

From the graph, the constant term is 0

So, the range is y > 0

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Explanation:

The triangular face has area of base*height/2 = 8*2/2 = 16/2 = 8 square feet.

Multiply this with the depth of the prism to get 8*12 = 96 cubic feet

----------

For any prism, the volume formula is

V = (area of base)*(depth of prism)

The term "depth" can be replaced with "height" and it's the same idea.

In this problem, we have a triangular prism because the parallel sides are triangles.

Answer:

The probability that a person with restless leg syndrome has fibromyalgia is 0.183.

Step-by-step explanation:

Denote the events as follows:

F = a person with fibromyalgia

R = a person having restless leg syndrome

The information provided is as follows:

P (R | F) = 0.33

P (R | F') = 0.03

P (F) = 0.02

Consider the tree diagram attached below.

Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:

\(P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}\)

            \(=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183\)

Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.183.

Answer:69

Step-by-step explanation:

31+38=69

Farrah's total score for both rounds will be -3.

Since the leader board shows Farrah's score as 5 on the front nine, this will be: +5

Since the leader board shows Farrah's score as 8 on the back nine, this will be -8. Then we'll add both together to get the total score which will be:

= 5 + (-8)

= 5 - 8

= -3

His total score will be -3.

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Answer:

so x = 20 , y = -21 , which is in quad IV

r^2= 400+441 = 841

r = √841 = 29

then cos Ø = 20/29

sec Ø = 29/20 = 1.45

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The exact value of cos \(\theta\) is 21/29.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have, point (21, 20)

So, Adjacent side= 21 and opposite side= 20

Using Pythagoras theorem

H= √ 21²  + 20²

H= √441 + 400

H= √841

H= 29 unit

So, the trigonometric ratio

cos \(\theta\) = Adjacent side/ H

cos \(\theta\) = 21/29

Thus, the exact value of cos \(\theta\) is 21/29.

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Answer:

he buys 2 pizzas

Step-by-step explanation:

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Hello!

y = 88° (opposite are equal)

z = 180° - 128° = 52° (straight angle = 180°)

x = 180° - 140° = 40° (straight angle = 180°)

Answer:

x=40°

y=88°

z=52°

Step-by-step explanation:

Solution Given:

x+140°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for x.

x=180°-140°

x=40°

\(\hrulefill\)

y°=88°

Since the vertically opposite angle is equal.

therefore, y=88°

\(\hrulefill\)

z+128°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for z.

z=180°-128°

z=52°

Solution

Part a

For this case we can find the individual areas for each surface and we have:

Then the total surface area is:

A simplified form would be:

Part b

Then the total volume is:

The area of the triangle is 97.07 units².

Given is a triangle we need to find the area,

So, let the triangle be ABC and the altitude be AD.

Using the trigonometric ratios,

Sin 52° = AB / AD

Sin 52° = 9 / AD

AD = 9 / Sin 52°

AD = 11.42

Now,

Tan 26° = DC / AD

Tan 26° = DC / 11.42

DC = 5.56

Also,

Cos 26° = AD / AC

Cos 26° = 11.42 / AC

AC = 12.7

BC = 11.42 + 5.56

BC ≈ 17

Now, the sides are BC = 17, AC = 12.7 and AB = 9,

The area of the triangle = 1/2 x BC x AD = 1/2 x 17 x 11.42

= 5.71 x 17

= 97.07

Hence the area of the triangle is 97.07 units².

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The charge density that must be glued to the surface of an insulating, cubical box  is\(σ = dq / dA = Q / a^2\)

Gauss's law can be applied to determine the charge density on the box's surface. According to Gauss's law, the charge enclosed by a closed surface determines how much electric flux passes through it.

Take into account a box-centred spherical Gaussian surface with radius r. By virtue of symmetry, the electric field must be radial and have a constant strength over the entire sphere. The flux through the sphere is therefore given by:

\(Φ = E(r) * 4πr^2\)

where E(r) is the electric field's strength at radius r.

The point charge Q in the box's centre is now equal to the charge contained within the sphere. So, according to Gauss's law:

\(Φ = Q / ε0\)

When the permittivity is 0

where 0 represents the free space permittivity.

The electric field outside the box should be the same as the electric field created by a point charge Q in the middle of the box. In order to ensure that the flux through any spherical surface outside the box is equal, we must choose the charge density on the box's surface.

Take into account a tiny element with surface area dA on the box's surface. The electric field caused by this element of charge at point P outside the box can be expressed as:

\(dE = (1 / 4πε0) * dq / r^2\)

where r is the distance between the element and point P and dq is the charge on the tiny surface-area element.

We integrate across all the minor components of the surface area of the box to determine the total electric field at point P caused by the entire surface of the box:

\(E = dE = (1 / 4.0)*dq / r2\)

Now, we want this electric field to match the electric field caused by point charge Q in the box's centre, which is determined by:

\(E' = Q / (4πε0r^2)\)

As a result, we have:

\(E = E': (1 / 4 0) * dq / r2 = Q / (4 0 r2)\)

To solve for dq, we obtain:

\((Q / a2)*dA = dq\)

therefore, the charge density on the box's surface is given by:

\(σ = dq / dA = Q / a^2\)

To produce the same electric field outside the box as that caused by a point charge Q at the centre of the box, we must glue a uniform charge density of Q / a2 on the box's surface.

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The solution of the differentiated equation is dy/dx = -6x⁵

From the question, we have the following equations that can be used in our computation:

x = ⁶√t

y = 8 - t

To start with:

We need to make the variable t the subject of the formula in the equation x = ⁶√t

Make t the subject

So, we have

t = x⁶

Substitute t = x⁶ in the equation y = 8 - t

y = 8 - x⁶

The rule of first principle of differentiation is represented as

If y = axⁿ, then dy/dx = naxⁿ⁻¹

Using the above as a guide, we have

y = 8 - x⁶

dy/dx = 0 * 8x⁰⁻¹ - 6 * x⁶⁻¹

Evaluate the difference

So, we have

dy/dx = 0 * 8x⁻¹ - 6 * x⁵

Evaluate the products

So, we have

dy/dx = 0 - 6x⁵

Evaluate the sum

So, we have

dy/dx = -6x⁵

Hence, the equation result is dy/dx = -6x⁵

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Answer:

4

Step-by-step explanation:

4 x 4 is 16 * dabs*

Step-by-step explanation:

S²=16

S=√16

S=4. Because 4x4=16

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The speed of the plane is equal to 120 mph.

In Mathematics and Geometry, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using miles per hour (mph).

Mathematically, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Time = distance/speed

Let the variable s represent the speed of the plane in miles per hour. Therefore, an equation that models the situation can be written as follows;

240/s = 80/s - 80

80s = 240s - 19200

19200 = 160s

s = 19200/160

s = 120 mph.

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Step-by-step explanation:

I'm not sure if I'm correct but I think that the difference is that op goes from left to right on the line so it's positive and po goes from right to left so it's negative. Hope I'm correct

The linear functions that define their distances are given as follows:

The number of hours after noon in which they will be the same distance away from the stadium is of:

8 hours.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are given as follows:

In the context of this problem, the meaning of each parameter is:

They will be the same distance away at the point of intersection of the graph given at the end of the answer, which is of 8 hours.

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Answer:

x ≥ -3

Step-by-step explanation:

-4x - 10 ≤ 2

-4x ≤ 12

x ≥ -3

The value of \(x_5\), rounded to the nearest decimal place using Newton's method of approximation is 1.466.

The correct answer is option B.

To find the value of \(x_5\)using Newton's method of approximation, we need to iterate the following formula:

\(x_(_n_+_1_) = x_n - f(x_n) / f'(x_n)\)

where f'(x) represents the derivative of the function f(x). Let's calculate the values step by step.

Given function: f(x) = \(x^3 - x^2 - 1\)

Step 1: Find the derivative of f(x)

f'(x) = \(3x^2 - 2x\)

Step 2: Initialize the starting value

\(x_0\)= 1

Step 3: Calculate \(x_1\)

\(f(x_0) = f(1) = (1^3) - (1^2) - 1 = 1 - 1 - 1 = -1\)

\(f'(x_0) = f'(1) = (3(1^2)) - (2(1)) = 3 - 2 = 1\)

\(x_1 = x_0 - f(x_0) / f'(x_0)\)

   = 1 - (-1) / 1

   = 2

Step 4: Calculate \(x_2\)

\(f(x_1) = f(2) = (2^3) - (2^2) - 1 = 8 - 4 - 1 = 3\)

\(f'(x_1) = f'(2) = (3(2^2)) - (2(2)) = 12 - 4 = 8\)

\(x_2 = x_1 - f(x_1) / f'(x_1)\)

   = 2 - 3 / 8

   = 1.625

Step 5: Repeat the process until we reach \(x_5\)

Performing the calculations for \(x_3, x_4, andx_5\), we find:

\(x_3\) ≈ 1.465

\(x_4\) ≈ 1.466

\(x_5\)≈ 1.466

After applying Newton's method of approximation to the function f(x) = \(x^3 - x^2 - 1,\)starting with,\(x_0 = 1,\) we iteratively calculated the values of \(x_1, x_2, x_3, x_4, and x_5\). The final approximation, \(x_5\), is approximately 1.466 when rounded to the nearest decimal place. This aligns with option B as the correct answer.

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Answer:

3 pints = 6 cups

Step-by-step explanation:

Formula: multiply the volume value by 2

Answer:

6 cups

Step-by-step explanation:

1 pint = 2 cups

3 pints = 3x2 cups

3 pints = 6 cups

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Answer:

3,600,000,000

Step-by-step explanation:

if i understood this correctly, you just multiply 100,000,000 by 36 and you're done

Answer:

Pilot programs – also known as feasibility studies or experimental trials – are short-term tests that can help you and your company learn how a larger-scale project might work for you in practice. They provide a platform for you to test logistics and spot any potential deficiencies before you go any further.

Step-by-step explanation:

Answer:

2500

Step-by-step explanation:

Dimensions of first level

Length = Breadth = 75 ft (since it is a square)

It is assumed that a person will occupy \(2.25\ \text{ft}^2\)

Area of first level

\(75\times 75=5625\ \text{ft}^2\)

When the area of the level is divided by the area of one person then we will get the number of people that can occupy the room or the number of tickets that can be sold.

\(\dfrac{5625}{2.25}=2500\)

The number of tickets that can be sold for the first level is 2500.

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Given the function;

The first derivative of the function is;

At critical points;

Thus, the f(x) at x=-4 is;

Thus, the absolute maxima on the given point is;

The absolute minima on the given points is;

Answer:

7 1/8

Step-by-step explanation:

1 1/8 + 1 1/8 is 2 2/8

2 2/8 + 4 7/8 is 6 9/8 = 7 1/8

Check the picture below.

Make sure your calculator is in Degree mode.

\(\cos(25^o )=\cfrac{\stackrel{adjacent}{x}}{\underset{hypotenuse}{12}}\implies 12\cos(25^o)=x\implies \boxed{10.876\approx x} \\\\[-0.35em] ~\dotfill\\\\ \sin(25^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{12}}\implies 12\sin(25^o)=z \\\\[-0.35em] ~\dotfill\\\\ \sin(50^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{y}}\implies y=\cfrac{z}{\sin(50^o)}\implies y=\cfrac{12\sin(25^o)}{\sin(50^o)}\implies \boxed{y\approx 6.62}\)