Which pair of points has a slope of 4? Question 4 options: (0, –3), (1, 1) (3, 0), (–1, –1) (1, 4), (–1, 4) (0, 4), (4, 0)

The formula for y in terms of x and c is given as follows:

\(y = \frac{c^5}{\sqrt{x}}\)

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other. This means that if one quantity is multiplied by a certain factor, the other quantity will also be multiplied by the same factor.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

An inverse proportional relationship is modeled as follows:

y = k/x.

In this problem, we have that y is inverse proportional to the square root of x, hence the equation is given as follows:

\(y = \frac{k}{\sqrt{x}}\)

When x = c², y = c^4, hence the constant k is obtained as follows:

\(c^4 = \frac{k}{\sqrt{c^2}}\)

k/c = c^4

k = c^5.

Hence the equation is:

\(y = \frac{c^5}{\sqrt{x}}\)

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Answer:

It has been proven from the explanation.

Step-by-step explanation:

If we assume that the real number x is greater than 0. Now, If on the contrary, a is less than 0, we can make the argument that;

Let us make n to be a natural number and m = m(n) to be the largest positive integer in such a way that;

m/n < x

Thus, (m+1)/n ≥ x and finally;

|x - m/n| < 1/n

If r_n = m/n. It will be easy to show from the definition of limits that the sequence (r_n) has limit x.

From earlier where we assumed that x > 0, the numbers that will be obtained by truncating the decimal expansion of "x" at the n-th place will be rational, and clearly have the limit "x". Although it implies we are now assuming every real number will have a decimal expansion.

To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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Answer:

I would say the first 2 : 4 - 6x and 2(2-3x)

Step-by-step explanation:

Answer: 18 cm

Step-by-step explanation:

We know the circumference formula is C=2πr. Since our circumference is given in terms of π, we can easily figure out what the radius is.

36π=2πr                   [divide both sides by π to cancel out]

36=2r                        [divide both sides by 2]

r=18 cm

Answer:

18cm

Step-by-step explanation:

because i found it lol

The fraction that represents the part of a whole, which is shaded gold is 3/7.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole.

Given is a big green rectangle divided into seven equal segments. From the image, it can be seen that 3 segments out of the seven are colored with gold. Therefore, we can write that -

Number of segments colored = n[c] = 3

Total segments = n[T] = 7

We know that a fraction defines a part of a whole. The green Rectangle is one whole, therefore it can be concluded that -

1 whole = 7 segments = n[T].

Number of segments colored = n[c] = 3.

Therefore, we can say that the fraction that represents the part of a whole, which is shaded gold is given by -

n[c] / n[T] = 3 / 7

Therefore, the fraction that represents the part of a whole, which is shaded gold is 3/7.

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[The given question is not complete. Please refer to the image attached for complete question]

Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

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The function f(x) has 4 different x-intercepts.

Here we have the function:

ƒ(x) = (x+3)(x + 5)²(x+3)(x² + 16)(x² − 3)

To see how many x-intercepts we have, we need to see for which values of x at least one of the factors becomes zero.

if x = -3, the first one is zero.

if x = -5, the second one is zero (it has a multiplicity of 2, due to the exponent)

if x = -3 the third one is zero, but we already knew this zero.

The fourth factor is:

x² + 16

It never becomes zero.

The last factor is:

x² − 3

The zeros are:

x² − 3 = 0

x²  = 3

x = ±√3

Then the x-intercepts are:

x = -3

x = -5

x = ±√3

There are 4 different x-intercepts.

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Answer:

y = (8+x)^5 + C

Step-by-step explanation:

Given the differential equation

(8+x) dy/dx = 5y

Using the variable separable method

(8+x) dy = 5ydx

dx/8+x = dy/5y

Integrate both sides

\(\int\limits^ {} \, \frac{dx}{8+x} = \int\limits^ {} \, \frac{dy}{5y} \\ln(8+x) = \frac{1}{5}lny\\5ln(8+x)= lny\\ln(8+x)^5 = lny\\ (8+x)^5 = y\\Swap\\y = (8+x)^5 + C\)

This gives the required solution

The explicit general solution to the following differential equation\((8+x)\dfrac{dy}{dx} = 5y\)  is \((8+x)^5 +C\), where \(C\) is a constant.

The relationship between the unknown function and its derivative is called the differential equation.

The differential equation in which variables are separated from each other is called the variable separable method.

Now, separate the variables using the variable separable method:

\((8+x){dy} = 5y \ dx\)

\(\dfrac{dx}{8x} = \dfrac{dy}{5y}\)

Integrating both sides,

\(\int \dfrac{dx}{x+8} = \int \dfrac{dy}{5y}\\log(x+8) = \dfrac{1}{5} log y\\ 5 log(x+8) = log y\\log(x+8)^{5} = log y \ \ \\y = ( x+8)^{5} +C\)

Thus, the explicit general solution to the equation is \((8+x)^5 +C\).

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Answer:

B) He

Step-by-step explanation:

This ion has gained 3 valence electrons, meaning it is a full octet or all 8 valence electrons in its outer most shell

The only atom there that is a noble gas or full octet is He or Helium

Answer:

Uh oh! It looks like your question is missing some crucial information. Please repost it with any helpful information such as diagrams, excerpts, or answer choices needed to solve it.

Step-by-step explanation:

3x + 2 is one possible choice

Answer:

xplus x answer is 8v 8 would bw correct answer

Answer:4

Step-by-step explanation:

2+2 is 4

The value of x cannot be determined and the answer is undefined.

To find the value of x in this scenario, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, triangle ABC is a right triangle with AB as the hypotenuse. So, we can use the Pythagorean theorem to solve for AC, which is equal to the square root of (AB^2 - BC^2).

Using the given values, we have:
AC = sqrt(16^2 - 8^2)
AC = sqrt(256 - 64)
AC = sqrt(192)
AC ≈ 13.86

Now, we can use triangle ACD to solve for x. This triangle is also a right triangle with CD as the hypotenuse. So, we can use the Pythagorean theorem again to solve for AD, which is equal to the square root of (CD^2 - AC^2).

Using the given values, we have:
AD = sqrt(9^2 - 13.86^2)
AD = sqrt(81 - 192.23)
AD = sqrt(-111.23)

We can't take the square root of a negative number, so there is no real solution for x in this scenario.

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Answer:

C= right angle (90 degrees)

Step-by-step explanation:

a + b + c = 180

The triangle is perfectly 180 degrees, making it supplementary

I wasn't very sure what you were asking, but I hope this helped

Janet has 630 options to customize a car based on the given features.

How to solve the question?

To determine the number of ways Janet can customize a car, we need to multiply the number of choices she has for each feature. Therefore, the total number of ways Janet can customize a car can be calculated as:

10 car models x 7 exterior colors x 9 interior colors = 630

Thus, Janet has 630 options to customize a car based on the given features.

It's worth noting that this calculation assumes that each feature (car model, exterior color, and interior color) can be combined with any other feature, without any restrictions or dependencies. However, in reality, certain car models may not be available in certain exterior or interior colors, or there may be other restrictions on the customization options.

Additionally, there may be other features that Janet can customize, such as the type of engine, transmission, or other options. Therefore, the total number of customization options may be even greater than what we have calculated here.

In summary, based on the given information, Janet has 630 ways to customize a car, but in reality, the actual number of options may be more limited or varied depending on other factors.

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The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.

The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.

Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.

Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.

Hence, the correct option is {−4, −2, 0, 3, 5}.

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The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.

To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.

Step 1: Apply De Morgan's laws

NOT (R AND NOT P) can be simplified as (NOT R) OR P.

Step 2: Distributive property

F5 = (P AND Q) OR ((NOT R) OR P)

Step 3: Apply associative property

F5 = (P AND Q) OR (P OR (NOT R))

Step 4: Apply absorption law

F5 = P OR (P OR (NOT R))

Step 5: Apply idempotent law

F5 = P OR (NOT R)

By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.

Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.

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The question probable may be:

Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:

F5 = (P AND Q) OR (R AND NOT P)

Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?

Answer:

Step-by-step explanation:

I and II

Pages in a book and leaves on a tree can be counted precisely. They are discrete.

The height of a person cannot be measured exactly. We can get very good

approximations (to a lot of decimal places) but never exact. This is continuous.

Answer:

v = 3.77 m/s

Step-by-step explanation:

Uniform Circular Motion

It's a movement in which an object moves along the circumference of a circle. It can also be defined as a rotation along a circular path.

The angular speed can be calculated in two different ways:

\(\displaystyle \omega=\frac{v}{r}\)

Where:

v = tangential or linear speed

r = radius of the circle described by the rotating object

Also:

\(\omega=2\pi f\)

Where:

f = frequency

The frequency is calculated when the number of revolutions n and the time t are known:

\(\displaystyle f=\frac{n}{t}\)

The pulley turns at n=6 revolutions per t= 1 second, thus:

\(\displaystyle f=\frac{6}{1}\)

f = 6 Hz

The angular speed is:

\(\omega=2\pi 6\)

\(\omega=37.7 \ rad/s\)

The linear speed can be calculated by solving the first equation for v:

\(v = \omega\cdot r\)

The radius is converted to meters: r=10 cm = 0.1 m. Calculate the speed:

\(v = 37.7 \ rad/s\cdot 0.1\ m\)

v = 3.77 m/s

Answer:

it takes 4 tables for the man to paint

Answer:

Vertex

Step-by-step explanation:

A ray is the arms of a angle and the point where they meet is the Vertex

To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

Answer:

2(17x+12y)

Step-by-step explanation:

34x+24y=2(17x+12y)

To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.

The function value at x = 10 is:

f(10) = 1.85(10)^2 = 185

The function value at x = 20 is:

f(20) = 1.85(20)^2 = 740

The length of the interval is:

20 - 10 = 10

So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:

(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5

Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.

Answer:

6 + 7/10x + 2/y

Step-by-step explanation:

Hope this helps :)

Based on the information in the triangle, the measure of ZDEB is 54°.

A triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry. Triangles are commonly represented by drawing three line segments that connect three non-collinear points. The points where the line segments intersect are called the vertices of the triangle, and the line segments themselves are the sides of the triangle.

The sum of the measures of the angles of a triangle is 180 degrees. Therefore,

mZAEC + m/AED + mZDEB = 180

(2x+4) + (5x+1) + mZDEB = 180

7x+5 = 180

7x = 175

x = 25

mZDEB = 2x+4 = 2(25)+4 = 54 degrees

Hence, the answer is 54

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