Find the value of x in each case. Give reasons to justify your solutions!

Answer: Hence, Fourth option is correct.

Step-by-step explanation:

Since we have given that

Number of computers expected to sell = 40  millions

Cost price of internet advertising = $5 million

According to the graph, we can see that

40 millions is the y-coordinate and $5 million is the x-coordinate.

so, Horizontal axis - y- axis is the "Number of computers".

Vertical axis - x- axis is the "Advertising cost ":

Hence, Fourth option is correct.

Horizontal axis will have number of computers in millions and vertical axis will have advertising dollars in millions.

Given information:

The graph of computer production and advertising amount spent is given in the question.

Total number of computer sell = 40 millions

Cost of internet advertising = $5 million

Now , by looking the graph one can conclude that, Y coordinate of the graph is 40 million and the X coordinate of the graph is $5 million.

Hence, from the above conclusion one can write as:

Horizontal axis (X-axis) is the number of computers and the Vertical axis is (Y-axis) the advertising cost of computers.

For more information visit:

https://brainly.com/question/16762344

[tex]S[/tex] is a closed surface with interior [tex]R[/tex], so you can use the divergence theorem.

[tex]\vec F(x,y,z)=x\,\vec\imath+y\,\vec\jmath+9\,\vec k\implies\nabla\cdot\vec F(x,y,z)=\dfrac{\partial(x)}{\partial x}+\dfrac{\partial(y)}{\partial y}+\dfrac{\partial(9)}{\partial z}=2[/tex]

By the divergence theorem, the flux of [tex]\vec F[/tex] across [tex]S[/tex] is given by the integral of [tex]\nabla\cdot\vec F[/tex] over [tex]R[/tex]:

[tex]\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\iiint_R(\nabla\cdot\vec F)\,\mathrm dV[/tex]

Convert to cylindrical coordinates, setting

[tex]x=u\cos v[/tex]

[tex]y=y[/tex]

[tex]z=u\sin v[/tex]

The integral is then

[tex]\displaystyle2\int_{v=0}^{v=2\pi}\int_{u=0}^{u=1}\int_{y=0}^{y=8-u\cos v}u\,\mathrm dy\,\mathrm du\,\mathrm dv=\boxed{16\pi}[/tex]

The flux of a vector field across a surface is calculated using a surface integral, which involves integrating the dot product of the vector field and the differential area element over the surface. For closed surfaces, the outward orientation is used. Electric flux, the flux of the electric field across a surface, is mentioned as an example.

The flux of a vector field across a surface can be calculated using a surface integral. For the given vector field F(x, y, z) = x i + y j + 9 k and the surface S defined as the boundary of the region enclosed by the cylinder x2 + z2 = 1 and the planes y = 0 and x + y = 8, the flux is evaluated by integrating F·dS over the surface S.

The orientation of the surface is important in this process. For a closed surface, the positive (outward) orientation is used. The normal vector at any point on the surface points from the inside to the outside, and this outward normal is used to compute the flux through a closed surface.

Conceptually, this is like breaking the surface up into infinitesimally small patches dA and summing up the contributions of the vector field F (in this case, x i + y j + 9 k) through each patch - this is referred to as electric flux in the context of electric fields. This calculation embodies the concept of electric flux, which is defined as the scalar product of the electric field and the area vector.

https://brainly.com/question/35174512

#SPJ3

Explanation:

It is the average (mean) of the absolute values of the differences between a set of numbers and their mean.

Example: consider the set {1, 2, 4}. The mean is computed in the usual way: the sum divided by the number of contributors —

mean = (1 + 2 + 4)/3 = 7/3 = 2 1/3

Then the deviations are ...

1 -2 1/3 = -1 1/3 . . . . the absolute value of this is 1 1/3

2 -2 1/3 = -1/3 . . . . . the absolute value of this is 1/3

4 -2 1/3 = 1 2/3 . . . . the absolute value of this is 1 2/3

The mean of these absolute values is their sum divided by the number of them:

(1 1/3 +1/3 +1 2/3)/3 = (3 1/3)/3 = 1 1/9

The MAD of {1, 2, 4} is 1 1/9.

_____

Your graphing calculator or spreadsheet program may have a function that will calculate this for you.

Answer:

B. 0.12

Step-by-step explanation:

To obtain this probability, you need to multiply the two probabilities.. since it's comprised of two events: one that he's in the brass section, one that he plays trombone.  The probably of him playing trombone only happens if he's in the brass section.

So, you have the possibility he's in the brass section: 0.50

The possibility he's playing trombone, if he's in the brass section: 0.24

P = 0.5 * 0.24 = 0.12

Answer:

B: 0.12

Step-by-step explanation:

ap3x

Answer:

N=920 (1+0.03)^4t

where N=number of cars serviced after t years

Step-by-step explanation:

Apply the compound interest equation

N=P( 1+r/n)^nt

where N ending number of cars serviced , P is the number of cars serviced in 2012, r is the interest rate, n is the number of compoundings per year, and t is the total number of years.

Matching parts of the exponential function

Initial number of cars serviced=920

The quarterly rate of growth = if interest is compounded quarterly, n=4

r=12% ÷ 4 = 0.03 or 3%

The growth rate is given by (1 +r/n) = 1+0.03 = 1.03

number of compoundings for t years= nt= 4t

The compound period multiplied by the number of years = 920(1.03)^4t

Answer:

  x = 3

Step-by-step explanation:

A vertical line has the form x = constant. The graph shows the constant you want is 3.

Answer: Second Option

{m| [tex]m\leq-0.48[/tex]}

Step-by-step explanation:

We have the following equation

[tex]10(10m+6)\leq12[/tex]

To solve this equation apply the distributive property

[tex]10(10m+6)\leq12[/tex]

[tex]10*10m+6*10\leq12[/tex]

[tex]100m+60\leq12[/tex]

Subtract 60 on both sides of the inequality

[tex]100m+60-60\leq12-60[/tex]

[tex]100m\leq12-60[/tex]

[tex]100m\leq-48[/tex]

Divide between 100 both sides of the inequality

[tex]m\leq-\frac{48}{100}[/tex]

[tex]m\leq-0.48[/tex]

The solution is

{m| [tex]m\leq-0.48[/tex]}

Answer:

"A line"

Step-by-step explanation:

A line of symmetry is a line that divides an object into two congruent halves.

_____

However, not every line that does so is a line of symmetry. The vertical line in the attached diagram divides both figures into congruent halves. It is only a line of symmetry for the green figure.

Answer:

Axis of symmetry

Step-by-step explanation:

That's the "axis of symmetry."  It's most often associated with parabolas.

Answer:

21 classes

Step-by-step explanation:

Let’s set up equations for both memebers and non-members!

Let c = classes

To find how many classes it would take to make the two things even, we set them equal.

10c+100 = 15c

Solving for c,

5c = 100

So c = 20.

Since you need 20 classes to break even, to save money as a member, you need 21 classes.

So amplitude is the length from the highest (or lowest) point from the mid-line of the function

In this case the mid-line is y = 1

The highest point, which has a y of 3 is 2 units away from the mid-line. This means that the amplitude is 2!

Hope this helped!

The amplitude of the function graphed will be 2.

The amplitude of a function is the amount by which the graph of the function travels above and below its midline, i.e. it is the height from the mean value of the function to its maximum or minimum.

We have,

A graph,

The highest value = 3,

Lowest value = -1

So,

From the definition mentioned above,

Amplitude [tex]=\frac{3+|-1|}{2}[/tex]

We get,

Amplitude = 2

Hence, we can say that the amplitude of the function graphed will be 2.

To know more about amplitude click here

https://brainly.com/question/17942624

#SPJ2

Answer:

m∠ABC= 80°, m∠BDC= 90°

Step-by-step explanation:

If m∠ABD = 40°, then add 40°+40° to get m∠ABC because AB ≅ BC, meaning their angles would be congruent.

For m∠BDC, just look at the picture and deduce that it's a 90 degree angle.

Answer:

m∠ABC=80° and m∠BDC=90°

Step-by-step explanation:

Given the ΔABC in which AB ≅ BC, m∠ABD = 40° and BD is median of ΔABC.

we have to find the measure of angle ∠ABC and ∠BDC.

As the median of isosceles triangle split the angle at the vertex into two equal parts i.e ∠ABC is twice the angle ∠ABD

⇒ [tex]\angle ABC=2\angle ABD[/tex]

[tex]\angle ABC=2\times 40=80^{\circ}[/tex]

Also the median of isosceles triangle is perpendicular to the opposite side i.e to the base. Here, BD is perpendicular to AC

⇒  ∠BDC=90°

Therefore, the measure of angle ABC and BDC is 80° and 90° respectively.

Answer:

The number of the 2 kg blocks is 10

The number of the 5 kg blocks is 20

Step-by-step explanation:

Let the number of the 2 kg blocks be x and the number of the 5 kg blocks be y.

The total number of blocks in terms of x and y is;

x + y

We are informed that he has a total of 30 blocks, implying that;

x + y = 30

The total weight of the bar in terms of x and y will be;

2x + 5y

We are also informed that the total weight of the bar is observed to be 120, implying that;

2x + 5y = 120

We therefore have two equations in two unknowns.;

x + y = 30

2x + 5y = 120

We can solve these equations simultaneously via elimination method;

multiply the first equation by 2;

2x + 2y = 60

2x + 5y = 120

Subtracting the first equation from the second one yields;

5y - 2y = 120 - 60

3y = 60

y = 20

But x + y = 30, implying that;

x = 30 - 20

x = 10

Answer:

  x = 21

Step-by-step explanation:

From the rules of secants (and tangents), you know that ...

   x^2 = 7·(7 +56)

   x = √(7·63) = √441 = 21

_____

When secant lines intersect, the product of distances from the point of intersection to the two points on the circle is a constant. The tangent line is a degenerate case where the two points of intersection are the same point (hence the product of distances is x^2). For the other secant, the near distance is 7, and the far distance is 7+56  = 63.

Interestingly, this property holds whether the secants intersect inside the circle or outside (as here). That makes it easier to remember, since there's really only one rule, not three.

Answer:

x = ±[tex]5\sqrt{2}[/tex]

Step-by-step explanation:

We have been given the quadratic equation;

[tex]50-x^{2}=0[/tex]

The first step is to subtract 50 from both sides of the equation;

[tex]50-x^{2}-50=0-50[/tex]

[tex]-x^{2}=-50[/tex]

Multiplying both sides by -1 yields;

[tex]x^{2}=50[/tex]

The final step is to obtain square roots on both sides;

[tex]\sqrt{x^{2} }=\sqrt{50}\\x=+/-\sqrt{50}[/tex]

Therefore, x = ±[tex]5\sqrt{2}[/tex]

Answer:

Equation 1:  r = 4 +( 3 * cos theta  )

Equation 2: r = sqrt ( 5² * sin(2 theta) )

Step-by-step explanation:

GRAPH 1:  

The first graph is a dimpled limacon.

General equation for dimpled limacon:

r = a + b cos theta                     ∴ if dimple is along the x- axis

r = a + b sin theta                      ∴ if dimple is along the y-axis

y-intercept : { a, -a }  = { 4, -4 }   ∴ the points at which limacon intersects y-axis

Negative side of x-axis = ( a – b ) ⇒ 1

Positive side of x-axis = ( a + b ) ⇒ 7

Subtract the value of a from sum of a and b to find b:

b = 7 – 4 ⇒ 3

Equation1:  r = 4 +( 3 * cos theta  )

GRAPH 2:  

The second graph is a lemniscates.  

General equation for lemniscates is:

r² = a² cos(2theta)                        ∴ if petals of graph are on coordinate axis

r² = a² sin(2 theta)                ∴ if petals of graph are not on coordinate axis

now, according to the graph:

a = 5 ⇒ a² = 25

angle of graph:  cos2θ, simply divide 360° by 2:

[tex]\frac{360}{2}[/tex] ⇒ 180°

The petals cannot be on coordinate axis, we start from 45° and then the next petal will be on:

45° + 180° = 225°

Since the graph is not on the coordinate axis, so

r² = 5² sin(2 theta)   ⇒    r = sqrt ( 5² * sin(2 theta) )      

Equation 2: r = sqrt ( 5² * sin(2 theta) )      

Answer: The slope is [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The slope can be calculated with the following formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Then, knowing that the line passes through the points (2,1) and (-1,-1), we can substitute the coordinates into the formula.

In this case:

[tex]y_2=-1\\y_1=1\\x_2=-1\\x_1=2[/tex]

Therefore, the slope of the line that passes through the points (2,1) and (-1,-1) is:

[tex]m=\frac{-1-1}{-1-2}\\\\m=\frac{-2}{-3}\\\\m=\frac{2}{3}[/tex]

Answer: the answer is 6

Step-by-step explanation: 3 times 2 is 6 then 6 times 1 is still 6

Answer: [tex]3!=6[/tex]

Step-by-step explanation:

The factorial function has the following symbol: "!" (As you can observe, it is an exclamation mark).

 The factorial functions are applied to the numbers greater than zero. Then, the factorial of a positive integer "n" is representend as:

[tex]n![/tex]

Since you need to simplify 3!, you has to multiply all the positive  integer numbers that are between the number 3 and and the number 1.

Therefore, for 3! you get the following result:

[tex]3!=3*2*1\\3!=6[/tex]

By Green's theorem,

[tex]\displaystyle\int_C\cos y\,\mathrm dx+x^2\sin y\,\mathrm dy=\iint_D\left(\frac{\partial(x^2\sin y)}{\partial x}-\frac{\partial(\cos y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy[/tex]

where [tex]D[/tex] is the region with boundary [tex]C[/tex], so we have

[tex]\displaystyle\iint_D(2x+1)\sin y\,\mathrm dx\,\mathrm dy=\int_0^5\int_0^4(2x+1)\sin y\,\mathrm dy\,\mathrm dx=\boxed{60\sin^22}[/tex]

Answer:

  155°

Step-by-step explanation:

∠EYV is half the difference of arcs EV and EH

  (1/2)(EV -EH) = ∠EYV

  (1/2)(EV -85°) = 35° . . . . fill in the given values

  EV -85° = 70° . . . . . . . . .multiply by 2

  EV = 155° . . . . . . . . . . . . add 85°

Answer:C

Step-by-step explanation:

The constant and the variable relationship is p<9.That means it is "Alva spent less than 9%"

Answer:

it is c

Step-by-step explanation:

[tex]\bf \textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin^2(x)+sin^2(x)cot^2(x)\implies sin^2(x)+\underline{sin^2(x)}\cdot \cfrac{cos^2(x)}{\underline{sin^2(x)}} \\\\\\ sin^2(x)+cos^2(x)\implies 1[/tex]

The answer is c. This is the ONLY possible answer.

-288/5 or - 57.6 I used a calculator so I cannot solve step by step

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation: