Name the constant of variation for y equals 1/4x then find the slope of the (0,0) and (4,1)... please

Answer:

well for me

Step-by-step explanation:

The sine inverse of 1 is 90

Answer:

sin 90° = 1 is a true statement.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

A plane is a flat, two-dimensional surface that extends infinitely.

A point is a precise location on a plane.

A line is a one-dimensional figure that has only its length that extends infinitely.

Points are collinear if they all fall on the same straight line.

Points or lines are coplanar if they all fall on the same plane.

Line segments are a line with two endpoints on each end of the segment, which have a definite length.

Rays are lines that have one endpoint and the other end of the line extends infinitely with no endpoint.

Opposite rays are two rays that have a common endpoint that point in opposite directions and form a straight line.

Answer:

Below

Step-by-step explanation:

First let's determine the slope if thus function

Let m be the slope of this function

m = [0-(-4)]/ 2-0 = 4/2 =2

So our equation is:

y = 3x +b

b is the y-intercept wich is given by the image of 0

Here it's -4

So the equation is:

y = 2x-4 wich is also y = x-2 after simplifying

●●●●●●●●●●●●●●●●●●●●●●●●

A line that is parallel to this one will have the same slope.

Examples:

● y= 2x+3

● y = 2x-7

■■■■■■■■■■■■■■■■■■■■■■■■■■

A line that is perpendicular to this one and has a slope m' satisfy this condition:

m*m'= -1

m'= -1/m

m' = -1/2

So this line should have a slope that is equal to -1/2

Answers from the choices:

y = -1/2 x +1/2

y+1= -1/2 (x-3)

Answer:

\(wxy = 6 \times 147 \times 3.6 \\ = 3175.2\)

The evaluation of the expression is 2, if the expression is x - y + z(x + w).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Given that x = 1, y = 1, w = 1, and z = 1

We have been given expression

⇒ x - y + z(x + w)

Substitute the values of x = 1, y = 1, w = 1, and z = 1 in the above expression,

⇒ 1 - 1 + 1(1 + 1)

⇒ 0 + 1(2)

⇒ 2

Hence, the evaluation of the expression is 2.

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Your question is incomplete, probably the missing part is:

Given x = 1, y = 1, w = 1, and z = 1 and this expression x - y + z(x + w): what is the evaluation of the logical expression?

The value of the integral is 2pi.

To interpret the given integral in terms of areas, we need to recognize that the integrand, \(\sqrt(4-x^2),\) represents the upper half of a circle with radius 2 centered at the origin.

First, we can sketch the graph of\(y = \sqrt(4-x^2)\)over the interval [-2, 2]:

      |         /\            |

   2 |       /    \          |

      |      /        \       |

     |     /            \     |

     |_/_____  __\_|

         -2         2

The integral can be evaluated as follows:

\(int_(-2)^2 \sqrt(4-x^2) dx\) = area of upper half of circle with radius 2 and center at (0, 0)

                         = (1/2) * pi *\(r^2\), where r = 2

                         = (1/2) * pi * 4

                         = 2pi

Therefore, the value of the integral is 2pi.

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Answer:

x-1

Step-by-step explanation:

The solution to the equation 21 = 14 + 7x is x = 1.

Given the equation in the question:

21 = 14 + 7x

To solve the equation 21 = 14 + 7x, start by isolating the variable x to one side of the equation:

21 = 14 + 7x

Subtract 14 from both sides of the equation:

21 - 14 = 14 - 14 + 7x

Add 14 and -14:

21 - 14 = 7x

Subtract 14 from 21:

7 = 7x

Reorder the equation:

7x = 7

Divide both sides by 7:

7x/7 = 7/7

x = 7/7

x = 1

Therefore, the value of x is 1.

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Answer:

2y=26, y=13

3x-(13)= -1, 3x=12, x=4

The estimates that is led from the data from a poll conducted by Travelocity , then the percentages are "computed from a sample"  .

The Data from the poll conducted by Travelocity was computed from a sample of travelers and was used to estimate the proportion of travelers

The travelers have certain habits or behaviors, such as checking work email (44%) taking a cell phone (32%) , or bringing a laptop computer on vacation (26%) .

The sample estimates are used to make inferences about the population.

Therefore , the given percentages are that they were  "computed from a sample" .

The given question is incomplete , the complete question is

Data from a poll conducted by Travelocity led to the following estimates:

Approximately 44% of travelers check work email while on vacation, about 32% take cell phones on vacation in order to stay connected with work, and about 26% bring a laptop computer on vacation.

Are the given percentages "population values" or were they "computed from a sample" ?

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Answer:

\(x=\frac{1}{3}\)

Step-by-step explanation:

move the terms with \(x\) to the left side of the equation:

add 3x to both sides

\(3x-1+3x=1\)

add 3x and 3x

\(6x-1=1\)

move all term not containing \(x\) to the right side:

add 1 to both sides of the equation

\(6x=1+1\)

\(6x=2\)

divide each term by 6

\(\frac{6x}{6}=\frac{2}{6}\)

\(x=\frac{2}{6}\)

simplify the fraction

\(x=\frac{1}{3}\)

Answer:

true

Step-by-step explanation:

yas

Answer:

45

Step-by-step explanation:

2 angles unconnected to an exterior angle = the exterior angle. In this case

70 + x = 115                 Subtract 70 from both sides

70-70+x =115-70         Combine

x = 45

The equation holds for \($n=k+1$\). The equation holds for all non-negative integers $n$. we have proved that $\sum_{i=0}^n \frac{i}{2^i} = \frac{2^{n+1}-(n+2)}{2^n}$.

Task 1:

**The function $\frac{7}{2}n^2 - 3n - 8 = O(n^2)$,** since we can find constants $c = \frac{15}{4}$ and $n_0 = 1$ that satisfy the definition of big-Oh notation.

To prove this, we need to show that there exist positive constants $c$ and $n_0$ such that for all $n \geq n_0$, $\left|\frac{7}{2}n^2 - 3n - 8\right| \leq c \cdot n^2$.

For $n \geq 1$, we can rewrite the given function as $\frac{7}{2}n^2 - 3n - 8 \leq \frac{15}{4}n^2$. Now, let's prove this inequality:

\begin{align*}

\frac{7}{2}n^2 - 3n - 8 &\leq \frac{15}{4}n^2 \\

\frac{7}{2}n^2 - \frac{15}{4}n^2 - 3n - 8 &\leq 0 \\

-\frac{1}{4}n^2 - 3n - 8 &\leq 0 \\

-\frac{1}{4}n^2 - 3n + 8 &\geq 0 \\

\end{align*}

Now, we can factorize the quadratic expression to determine its roots:

\begin{align*}

-\frac{1}{4}n^2 - 3n + 8 &= -\frac{1}{4}(n+4)(n-8) \\

\end{align*}

From the factorization, we can see that the quadratic is non-positive for $-4 \leq n \leq 8$. Thus, for $n \geq 8$, the inequality holds true.

Now, let's consider the case when $1 \leq n < 8$. We can observe that $\frac{7}{2}n^2 - 3n - 8 \leq \frac{7}{2}n^2 \leq \frac{15}{4}n^2$. Therefore, the inequality holds for this range as well.

Hence, we have found $c = \frac{15}{4}$ and $n_0 = 1$ that satisfy the definition of big-Oh notation, proving that $\frac{7}{2}n^2 - 3n - 8 = O(n^2)$.

Task 2:

The statement "$f(n) = O(g(n))$ if and only if $g(n) = \boldsymbol{\Omega}(f(n))$" is **true**.

To prove this, we need to show that $f(n) = O(g(n))$ implies $g(n) = \Omega(f(n))$, and vice versa.

First, let's assume that $f(n) = O(g(n))$. By the definition of big-Oh notation, this means there exist positive constants $c$ and $n_0$ such that for all $n \geq n_0$, $|f(n)| \leq c \cdot g(n)$.

Now, we can rewrite the inequality as $c' \cdot g(n) \geq |f(n)|$, where $c' = \frac{1}{c}$. This implies that $g(n) = \Omega(f(n))$, satisfying the definition of big-Omega notation.

Next, let

's assume that $g(n) = \Omega(f(n))$. This means there exist positive constants $c'$ and $n_0'$ such that for all $n \geq n_0'$, $c' \cdot f(n) \leq |g(n)|$.

By multiplying both sides of the inequality by $\frac{1}{c'}$, we get $\frac{1}{c'} \cdot f(n) \leq \frac{1}{c'} \cdot |g(n)|$. This implies that $f(n) = O(g(n))$, satisfying the definition of big-Oh notation.

Therefore, we have proved that $f(n) = O(g(n))$ if and only if $g(n) = \Omega(f(n))$.

Task 3:

Using mathematical induction, we can prove that $\sum_{i=0}^n \frac{i}{2^i} = \frac{2^{n+1}-(n+2)}{2^n}$.

Base case: For $n=0$, the left-hand side (LHS) is $\frac{0}{2^0} = 0$, and the right-hand side (RHS) is $\frac{2^{0+1}-(0+2)}{2^0} = \frac{2-2}{1} = 0$. Therefore, the equation holds true for the base case.

Inductive step: Assume the equation holds for $n=k$, where $k\geq0$. We need to prove that it holds for $n=k+1$.

Starting with the LHS:

\begin{align*}

\sum_{i=0}^{k+1} \frac{i}{2^i} &= \sum_{i=0}^k \frac{i}{2^i} + \frac{k+1}{2^{k+1}} \\

&= \frac{2^{k+1}-(k+2)}{2^k} + \frac{k+1}{2^{k+1}} \quad \text{(by the induction hypothesis)} \\

&= \frac{2^{k+1} - (k+2) + (k+1)}{2^{k+1}} \\

&= \frac{2^{k+1} + k + 1 - k - 2}{2^{k+1}} \\

&= \frac{2^{k+2} - (k+2)}{2^{k+1}} \\

&= \frac{2^{(k+1)+1} - ((k+1)+2)}{2^{k+1}} \\

&= \frac{2^{(k+1)+1} - ((k+1)+2)}{2^{(k+1)+1}}

\end{align*}

Thus, the equation holds for $n=k+1$.

By the principle of mathematical induction, the equation holds for all non-negative integers $n$. Therefore, we have proved that $\sum_{i=0}^n \frac{i}{2^i} = \frac{2^{n+1}-(n+2)}{2^n}$.

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Answer:

by taking out one then taking out the other

The number of ways of picking the two blue marbles will be 72.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that In a bag of marbles there are 9 blue marbles and 6 red marbles. You pick one marble out of the bag and then, without replacing the first marble,

Number of the ways of getting two blue marbles will be calculated as,

N = ⁹C₂

N = 9 x 8

N = 72

Therefore, the number of ways of picking the two blue marbles will be 72.

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Answer:

8

Step-by-step explanation:

Answer:

Answer is 8 :D

Step-by-step explanation:

The common factor of those 2 numbers are 1, 2,4,8 :)

Answer:

\(16x^4y^2 a^6\)

Step-by-step explanation:

\((-4x^2ya^3)^2=(-4)^2(x^2)^2(y)^2(a^3)^2 \\ \\ =16x^4y^2 a^6\)

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Step-by-step explanation:

Angle of four sides of rhombus is 360

125+p=360

p=360-125

p=235

hope this helps you

have a good day.

Answer:

B. Is the right answer you can now because of the measure

The opportunity cost of consuming one more unit of good x in terms of how much good y must be given up is 1/2 unit of good y.

The opportunity cost of consuming one more unit of good x in terms of how much good y must be given up can be calculated using the Marginal Rate of Substitution (MRS). MRS is calculated as the ratio of the change in the amount of good x to the change in the amount of good y, as the consumer moves from one point on the indifference curve to another. Mathematically, MRS is expressed as:

MRS = Δx/Δy

For example, if a consumer moves from consuming 2 units of good x and 4 units of good y, to consuming 3 units of good x and 6 units of good y, then the MRS would be calculated as:

MRS = (3 - 2) / (6 - 4) = 1 / 2

Therefore, the opportunity cost of consuming one more unit of good x in terms of how much good y must be given up is 1/2 unit of good y.

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Answer:

132.50

Step-by-step explanation:

3/5b = 79.50

b = (79.50) / (3/5)

b = 79.50 * 5/3

b = 397.50/3

b = 132.50

132.50 is the total bill

Answer:

48

Step-by-step explanation:

The possible values of the dimension of the kernel of a linear transformation from R^5 to R^3, therefore, span from 0 to 5, depending on the properties and specific mapping of the transformation.

1. The possible values of the dimension of the kernel (null space) of a linear transformation t from R^5 to R^3 can be 0, 1, 2, 3, 4, or 5. The dimension of the kernel represents the number of linearly independent vectors in the null space of the transformation.

2. The kernel of a linear transformation consists of all vectors in the domain that are mapped to the zero vector in the codomain. In this case, the kernel of t consists of vectors in R^5 that are mapped to the zero vector in R^3.

3. The dimension of the kernel can vary depending on the specific linear transformation. If the transformation is injective (one-to-one), meaning that each input vector is uniquely mapped to an output vector, the dimension of the kernel is 0.

4. However, if the transformation is not injective, the dimension of the kernel can be any value from 1 to 5. This means that there exist linearly independent vectors in R^5 that are mapped to the zero vector in R^3, resulting in a nontrivial null space.

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Answer:

Step-by-step explanation:

A=1/36P2cot(20°)=1/36·1262·cot(20°)≈1211.63754in²

I hope this helped.!

Answer:

area = 1217.16 in²

Step-by-step explanation:

a nonagon has 9 sides

each side = 126/9 = 14 inches

it forms 9 identical isosceles triangles with a base of 14

each top angle = 360/9 = 40°

the area of each triangle can be found by the formula area = 1/2(base)(height)

We know the base is 14

the height would be calculated be constructing a perpendicular line from the top of the triangle and perpendicular to the base. This smaller triangle base is 1/2 of 14, or 7 inches. it's top angle is 1/2 of 40°, or 20°

the height of smaller triangle is the same height as the larger triangle.

tan 20° = 7/height

0.3640 = 7/x

0.3640height = 7

height = 19.32 inches

area of larger triangle = 1/2(14)(19.32) = 135.24 in²

total area = 9 x 135.24 = 1217.16 in²

The final answer is 886.1485297964202.

To evaluate the integral, we can use partial integration.

Let u = 17z³

dv = e^z dz

Then du = 51z² dz

v = e^z

Using partial integration, we have:

∫ 17z³ e^z dz = 17z³ e^z - ∫ 51z² e^z dz

= 17z³ e^z - 51 * ∫ z² e^z dz

= 17z³ e^z - 51 * (z² e^z - 2 * ∫ z e^z dz)

= 17z³ e^z - 51z² e^z + 102 * ∫ e^z dz

= (17z³ - 51z² + 102) * e^z + c

So the definite integral from 0 to 2 is equal to

∫_0² 17z³ e^z dz = (17 * 2³ - 51 * 2² + 102) * e^2 - (17 * 0³ - 51 * 0² + 102) * e^0

= (17 * 8 - 51 * 4 + 102) * e²

= (17 * 8 - 51 * 4 + 102) * 7.389056098930649

= (17 * 8 - 51 * 4 + 102) * 7.389056098930649

= 886.1485297964202

Therefore, the answer is 886.1485297964202.

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Answer:

2.537 x 10¹⁵ miles

Step-by-step explanation:

We are given the following:

1 light year = 5.9 x 10¹² miles

Distance of the star = 4.3 x 10² light years

To get this we just convert the distance of the star in light years into miles.

We cancel out the light years and then we are left with:

In dealing with scientific notation, when we multiply them we can treat the coefficients and exponents of 10 separately.

Coefficients:

4.3 x 5.9 = 25.37

Exponents of 10:

10² x 10¹² = 10⁽²⁺¹²⁾=10¹⁴

Then we combine them again to form a scientific notation:

25.37 x 10¹⁴

But since the standard in writing a scientific notation, the coefficient needs to be a number from 1-9, we need to move the decimal. When we move the decimal to the right or left, we change the exponent of the power of 10. Since we will move it once to the left, we add 1.

The answer will then be:

2.537 x 10¹⁵ miles

Hope I helped! If you really thought I did a great job answering this question please rate, thanks, and award brainliest.

Yours,

Fellow Brainiac

Answer:    318,600

Step-by-step explanation:

This is what I got hope it helped:)

The linear function f(x) which can be written with f(5)=7 and f(-2)=0 is given as f(x) = x + 2.

A Linear Function may be defined as a function which when plotted on a graph always gives a straight line and it is a polynomial function with degree zero or one.

It is given that f(5) = 7.

This implies that when x = 5, y = 7

So, the coordinates can be (5, 7).

and f(-2) = 0

This implies that when x = -2 , y = 0

So, other coordinates are (-2, 0).

Now we have two points, and we need to find equation of line passing through two given points and that will be the required linear function.

Slope of line is given as, m = 0-7/-2-5

=> m = 1

Now the equation of the line is given by;

(y-0) = 1 × (x + 2)

=>y = x + 2

=> y = f(x) = x + 2

Therefore, the function that can be represented in the form of linear function is as f(x) = x + 2.

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