Is there any value(s) of the domain of x^2+ y^2=8 that passes the vertical line test? If so, name the value(s) and state whether or not the existence of this value makes this relation a function. You can use Desmos to help you explore this idea, if needed.

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Answer:

  -12dx +15ex +9fx

Step-by-step explanation:

  - 3x * (4d - 5e - 3f) = (-3x)(4d) +(-3x)(-5e) +(-3x)(-3f)

  = -12dx +15ex +9fx

Answer:

3 halves

Step-by-step explanation:

1 half in a quarter = 2/4

6/4 ÷ 2/4 = 3

therefore, there are 3 halves in 6/4

Answer:

Step-by-step explanation:

7^2 = 49

49^ x  = 1 only when x =0

Now 7^0 = 1

Then (7^0)^x = 1^x id equal to 1 for any x.

Answer:

ok so if we made a venn diagram it would look like this

math     neither      science

10             |      10    |   15

the ration math to science liking kids is

10:15 or 2:3

Hope This Helps!!!

The ratio of the students who like Maths to the students who like Science is 5:6.

A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets. A Venn diagram typically uses intersecting and non-intersecting circles (although other closed figures like squares may be used) to denote the relationship between sets.

(i) Given that, n(U)=50, n(S)=15, n(M)=10 and n(S∪M)=10

Let us take the students who like both subjects n(S∩M)=x

Now, 50=10+x+15+10

50=x+35

x=15

(ii) The number of students who like maths

=n(M)+n(S∩M)

= 10+15=25

The number of students who like Science

= n(S)+n(S∩M)

= 15+15=30

So, ratio is 25:30

= 5:6

Therefore, the ratio of the students who like Maths to the students who like Science is 5:6.

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9. Yes, since \(8+12>16\), meaning the side lengths satisfy the triangle inequality.

10. No, since \(5+7<20\), meaning the side lengths do not satisfy the triangle inequality.

The correct graph which represents the equation y = 1/2x - 1 is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ y = 1/2x - 1

Now, After draw the equation we get;

Graph of a line passing through the points (-2, - 2) and (0, - 1).

Thus, The correct statement is,

⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.

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There is only one way to paint such a cube, as each face must be a different color. So, the answer is one.

When it comes to creating art, there is no denying the importance of color. It is one of the most powerful tools an artist has at their disposal, as it can be used to convey a wide range of emotions, ideas, and messages. Even a simple object such as a cube can be transformed into a work of art with the right colors. This essay will explore the potential of painting a cube with a variety of colors, and why it's important to use a variety of colors in artwork.

When it comes to painting a cube, one must choose colors that will create a harmonious yet interesting look. The colors should be chosen carefully because they will be the focus of the piece. A cube painted with only one color would be too dull and boring, while a cube painted with an array of colors will make it more visually appealing. To create a successful painting of a cube, one should use colors that contrast and complement each other. For example, a cube can be painted so that one face is blue, two faces are red, and three faces are green.

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Answer:

No model given

Step-by-step explanation:

The correct option is C, as the statement suggests that there is a positive correlation between the number of Target stores and Walmart stores in a city.

This means that as the number of Walmart stores in a city increases, there is a corresponding increase in the number of Target stores in the same city. However, this does not necessarily mean that there is an exact one-to-one relationship between the two stores, as stated in option A.

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(a) The electric field components \(E_x\)and \(E_y\)along the z-axis are zero, while \(E_z\) can be calculated using the formula \(E_z\)= k * q * z / r³.

(b) The electrostatic potential along the z-axis is constant and does not vary with position.

(a) Along the z-axis, the electric field components \(E_x\) and \(E_y\) are zero since they are perpendicular to the z-axis. The only non-zero component is \(E_z\). To find \(E_z\), we can use the formula for the electric field of a point charge:

\(E_z\)= k * q * z / r²,

where k is the electrostatic constant, q is the charge, z is the distance along the z-axis, and r is the distance from the charge to the point of interest.

In this case, since we are considering a partial loop lying in the xy-plane, the charge is uniformly distributed along the loop, and the total charge is given by q = rho0 * 2 * pi * a, where rho0 is the charge density and a is the radius of the loop.

(b) The electrostatic potential along the z-axis can be found by integrating the electric field along the z-axis. Since \(E_x\) and \(E_y\) are zero, we only need to integrate \(E_z\). The electrostatic potential V along the z-axis is given by:

V = -∫\(E_z\) dz,

where the integral is taken from an arbitrary reference point to the point of interest along the z-axis. The potential will depend on the limits of integration and the value of rho0, which represents the charge density along the loop.

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Answer:

D.) 68 ft²

Step-by-step explanation:

8×(10-2) + 2×2

8×8 + 4

64 + 4

68 ft²

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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In order to find two equivalent expressions for the given expression, first let's add the like terms:

Now, instead of adding like terms, let's factor the expression using the common factor 4x:

So two equivalent expressions are 28x and 4x(3+4)

The length of the QR is 16 cm when PQR ~MNO

In the given question, it is given that two similar triangles as PQR ~MNO

Then, the corresponding sides will be in equal proportion to each other as follows

PQ / MN = PR / MO = QR / NO

We need to find the length of the side QR

As above relations are given,

\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)

\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)

Equating all the fractions, equal to each we'll find

\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)

5x + 7 = 3(x +5)

5x + 7 = 3x + 15

2x = 8

x = 4

We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm

Therefore, the length of the QR is 16 cm when PQR ~MNO

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Answer:

*helps*

Step-by-step explanation:

done (:P)

Answer:

We need to find the value of f(g(10)) when k = 3, where f(x) = 6x - 2 and g(x) = 5x - kx + 15.

First, we need to evaluate g(10) when k = 3:

g(x) = 5x - kx + 15

g(10) = 5(10) - 3(10) + 15

g(10) = 50 - 30 + 15

g(10) = 35

Now that we know g(10) = 35, we can evaluate f(g(10)):

f(x) = 6x - 2

f(g(10)) = 6(35) - 2

f(g(10)) = 208

Therefore, when k = 3, f(g(10)) = 208.

A city's citizens cast ballots on whether or not to increase property taxes. There were 8 yes votes and 5 nay votes, in that order. if there were 4955 no votes,The total number of votes was 6,940.

The ratio of yes votes to no votes was 8 to 5, meaning for every 8 yes votes there were 5 no votes.

This ratio can be expressed as a fraction: 8/5.

To calculate the total number of votes, we need to know only the number of no votes, which we know is 4955.

We can then multiply this number by the fraction 8/5. This gives us a total of 6,940 votes.

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Answer:

Take an old ice cream pail and mix equal parts to find your color. For example, one part red, three parts white to make pink. Then you will know approximately how much paint to mix into your existing

Step-by-step explanation:

We have a segment with 3 points. The complete segment goes from A to C, and point B divides it in 2 sibsegments (AB and BC)

Note that segment AC is composed by those 2 subsegments, so its complete legth will be equal to the sum of the leghts of subsegments AB and BC. Then, we can build the following equation:

As we know the lengths in terms of x, we just need to replace in the previous equation:

Now, we can solve for x:

Answer:

-40

Step-by-step explanation:

2x + 5y = 10

-4(2x + 5y) = -4 * 10

-4(2x + 5y) = -40

The MAD value will be = 3.

Given,

Last four months sale : 8 , 10 , 15 , 9 .

Last four forecasts were 5, 6, 11, and 12 units.

Now, we have to find the Mean Absolute Deviation (MAD) of these forecasts.

Now, the mean of the forecast values for the four months is .

Therefore, the sum of absolute deviations of the forecast values from that mean will be = |5 - 8.5| + |6 - 8.5| + |11 - 8.5| + |12 - 8.5| = 3.5 + 2.5 + 2.5 + 3.5 = 12.

Therefore, the MAD value will be = 12/4

MAD = 3

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A. The y-intercept is at the point (0, 0).

B.  The zeros are x = 0 or x = ±√5

C.

A) The y-intercept of this graph is the point where x = 0.

When  x = 0, the value of y

= 0^4 - 5*0^2

= 0.

Therefore, the y-intercept is at the point (0, 0).

B) The x-intercepts/roots of the function are the values of x that make y = 0.

To find these values, we need to set y = 0 and solve for x:

x⁴ - 5x² = 0

x⁴ = 5x²

x² = x⁴/5

x = ±√(x⁴/5)

We can simplify this expression by factoring x² out of both sides:

x²(x² - 5) = 0

x² = 0 or x² - 5 = 0

x = 0 or x = ±√5

hence the x-intercepts are at x = 0 and x = ±√5.

C) The end behavior of this function refers to how the graph of the function approaches the x-axis as x approaches positive infinity and negative infinity.

x → ∞ f(x) → ∞

x → -∞ f(x) → -∞

D) The graph is attached

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Answer:#1 she didn't finish solving

#2 finish solving for a.

#3 it is similar to solving a two step equation because it is a two step equation just there are variables to go along with it.

Step-by-step explanation:

The average distance from a point on a disk in ℝ² of radius r centered at the origin to the center is 2r/π.

To calculate the average distance, we need to integrate the distance function over the disk and divide it by the area of the disk. The distance function from a point (x, y) on the disk to the origin is given by d = √(x² + y²). Since the disk is centered at the origin, we can rewrite this as d = √(r²) = r.

Integrating this distance function over the disk involves integrating from 0 to 2π for the angle θ and from 0 to r for the radius ρ. Thus, the integral becomes ∫₀²π ∫₀ʳ r ρ dρ dθ.

Evaluating this integral gives us (2πr²)/2πr² = 1, which represents the total area of the disk. Therefore, the average distance is given by (2r/π) × (1/1) = 2r/π.

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Answer:

31.2 dollars

Step-by-step explanation:

The price of 4.5 kg of beef is: 62.4 × 4.5= 280.8 (dollars)

(the price of 3kg of m and 4.5kg of beef is the same so just take the price of 4.5 kg of b divide by 3 kg)

The price of each kg of mutton is: 280.8÷3= 93.6 (dollars)

The price of each kg of mutton is more than the price of each kg of beef :

93.6-62.4 = 31.2 (dollars)

(I come from Vietnam so my way of explanation may be different from yours.)

Yes, the function f(x) = x / (x + 2) satisfies the hypotheses of the mean value theorem on the given interval [1, 4]. This is because f is continuous on [1, 4] and differentiable on (1, 4).

Given f(x) = x/ x + 2

We are asked to check whether the function satisfies the hypotheses of the mean value theorem on the given interval [1, 4].

Mean Value Theorem: If f(x) is continuous on the closed interval [a, b] and is differentiable on the open interval (a, b), then there exists a number c in (a, b) such that: f(b) − f(a) / b − a = f'(c)

For the given function, we have the interval [1, 4]. The function is continuous on [1,4].

Also, the function is differentiable on (1,4).

Therefore, the given function satisfies the hypotheses of the mean value theorem on the given interval [1, 4]. Hence, the correct option is Yes, f is continuous on [1,4] and differentiable on (1,4).

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The first five terms of the sequence are {-9, 54, -324, 1944, -11664}.Hence, the first five terms of the sequence are {-9, 54, -324, 1944, -11664}.

Given that a1 = -9 and an = -6an-1 to find the first five terms of an: {a1, a2, a3, a4, a5}

We have to use the formula an = -6 an-1 to find the next terms.

The first term a1 is given to us. So, a1 = -9

We can use the formula an = -6an-1 to find the next term using a1= -9 an1 = -6 * a1 = -6 * (-9) = 54

Thus the first two terms of the sequence are {-9, 54}.

We can use the formula an = -6an-1 to find the third term an2 = -6 * an1= -6 * 54 = -324

Thus the first three terms of the sequence are {-9, 54, -324}.

We can use the formula an = -6an-1 to find the fourth term an3 = -6 * an2= -6 * (-324) = 1944

Thus the first four terms of the sequence are {-9, 54, -324, 1944}.

We can use the formula an = -6an-1 to find the fifth term an4 = -6 * an3= -6 * (1944) = -11664

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Answer:

268

Step-by-step explanation:

Area for surface area of a rectangular prism:

\(A=2(wl+hl+hw)\)

Assuming:

\(l=10\\w=8\\h=3\)

\(A=2(80+30+24)= 268\)

Hope this helps!

Answer:

A

352

Step-by-step explanation:

The opportunity cost of spending $90,000 on advertising but only producing 12,000 units can be calculated by comparing the benefits of the advertising investment to the potential alternative uses of that money.

First, let's calculate the total cost of producing 12,000 units. Fixed costs amount to $48,000, and variable costs are $8 per unit, resulting in a total cost of $48,000 + ($8 × 12,000) = $144,000.

Next, we need to calculate the potential sales revenue without advertising. With a price of $16 per unit, the potential sales revenue would be $16 × 12,000 = $192,000.

Now, let's calculate the potential sales revenue after advertising. The advertising multiplier is given as (30,000 + advertising) / 30,000. In this case, the multiplier would be (30,000 + 90,000) / 30,000 = 4.

Therefore, the potential sales revenue after advertising would be $192,000 × 4 = $768,000.

The opportunity cost is the difference between the potential sales revenue after advertising ($768,000) and the potential sales revenue without advertising ($192,000), which is $768,000 - $192,000 = $576,000.

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