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2 years ago

PLEASE HELP ASAP, WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!

Mathematics

1 answer:

Veseljchak [2.6K]2 years ago

7 0

Answer:

Step-by-step explanation:

<u>Equation of a sequence</u>

We are given the following sequence of numbers corresponding to the positions x={1,2,3,4,5,...}

y={32,26,20,14,8....}

To find the equation of the sequence, we must recall the general term of a sequence is:

$a_x=a_1+(x-1).r$

Where r is the common difference between two consecutive terms, an and a1 are the x-th and the first terms respectively.

We can find the value of r by subtracting any pair of consecutive terms:

r = 26-32 = 20-26 = 14-20 = -6

Now we apply the formula:

y=32+(x-1).(-6)

Operating:

y=32-6x+6

y = -6x + 38

Answer:

D. y = -6x + 38

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HELP NEEDED ASAP.....NO LINKS AND NO TROLLING

sveticcg [70]

Answer: I won't bother explaining cause you only want the answer

Step-by-step explanation:

page 1
Shift: a type of translation that moves the graph without changing its scale or shape or direction.

moving, location or points, rising, running (the last two are subjective I think there are better answers)

page 2 (right to left in rows)

y, adds

y, subtracts

x, adds

x, subtracts

Page 3

up 3, down 3, left 3, right 3

page 4

y = (x-2)^2 - 1

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8 0

1 year ago

Tim mows neighborhood lawns for extra money. Suppose that he would be willing to mow one lawn for $12, a second lawn for $15

allsm [11]

$29 will be their consumer surplus.

Consumer surplus is the difference between how much a consumer is willing to pay and how much a consumer actually does pay.

$12.00 + $15.00 + $23.00 = $50.00 (How much the consumer actually pays)

$23.00 + $26.00 + $30.00 = $79.00 (How much the consumer is willing to pay)

$79.00 - $50.00 = $29.00 (Consumer surplus)

3 0

2 years ago

Two men on the same side of a tall building notice the angle of elevation to the top Of the building to be 30 and 60 respectivel

Vladimir [108]

Answer:

115.47 feet

Step-by-step explanation:

You know the relation between opposite and adjacent sides of an angle in a right triangle is ...

Tan = Opposite/Adjacent

If the "adjacent" side of the angle of elevation is the distance of the man from the building, we have ...

tan(30°) = (100 ft)/d1

and

tan(60°) = (100 ft)/d2

Solving these equations for d1 and d2 gives ...

d1 = (100 ft)/tan(30°)

d2 = (100 ft)/tan(60°)

Then the distance between the two men is ...

d = d1 -d2 = (100 ft)(1/tan(30°) -1/tan(60°)) ≈ 115.47 ft

The distance between the two men is about 115 feet.

4 0

2 years ago

Pleaseeee help me ill give u 15 brainliest

Vesna [10]

Answer:

The answer is 1/6!

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

4. Find the volume of the given solid bounded by the elliptic paraboloid z = 4 - x^2 - 4y^2, the cylinder x^2 + y^2 = 1 and the

Ilya [14]

Answer:

2.5π units^3

Step-by-step explanation:

Solution:-

- We will evaluate the solid formed by a function defined as an elliptical paraboloid as follows:-

$z = 4 - x^2 -4y^2$

- To sketch the elliptical paraboloid we need to know the two things first is the intersection point on the z-axis and the orientation of the paraboloid ( upward / downward cup ).

- To determine the intersection point on the z-axis. We will substitute the following x = y = 0 into the given function. We get:

$z = 4 - 0 -4*0 = 4$

- The intersection point of surface is z = 4. To determine the orientation of the paraboloid we see the linear term in the equation. The independent coordinates ( x^2 and y^2 ) are non-linear while ( z ) is linear. Hence, the paraboloid is directed along the z-axis.

- To determine the cup upward or downwards we will look at the signs of both non-linear terms ( x^2 and y^2 ). Both non-linear terms are accompanied by the negative sign ( - ). Hence, the surface is cup downwards. The sketch is shown in the attachment.

- The boundary conditions are expressed in the form of a cylinder and a plane expressed as:

$x^2 + y^2 = 1\\\\z = 4$

- To cylinder is basically an extension of the circle that lies in the ( x - y ) plane out to the missing coordinate direction. Hence, the circle ( x^2 + y^2 = 1 ) of radius = 1 unit is extended along the z - axis ( coordinate missing in the equation ).

- The cylinder bounds the paraboloid in the x-y plane and the plane z = 0 and the intersection coordinate z = 4 of the paraboloid bounds the required solid in the z-direction. ( See the complete sketch in the attachment )

- To determine the volume of solid defined by the elliptical paraboloid bounded by a cylinder and plane we will employ the use of tripple integrals.

- We will first integrate the solid in 3-dimension along the z-direction. With limits: ( z = 0 , $z = 4 - x^2 -4y^2$ ). Then we will integrate the projection of the solid on the x-y plane bounded by a circle ( cylinder ) along the y-direction. With limits: ( $y = - \sqrt{1 - x^2}$ , $y = \sqrt{1 - x^2}$ ). Finally evaluate along the x-direction represented by a 1-dimensional line with end points ( -1 , 1 ).

- We set up our integral as follows:

$V_s = \int\int\int {} \, dz.dy.dx$

- Integrate with respect to ( dz ) with limits: ( z = 0 , $z = 4 - x^2 -4y^2$ ):

$V_s = \int\int [ {4 - x^2 - 4y^2} ] \, dy.dx$

- Integrate with respect to ( dy ) with limits: ( $y = - \sqrt{1 - x^2}$ , $y = \sqrt{1 - x^2}$ )

$V_s = \int [ {4y - x^2.y - \frac{4}{3} y^3} ] \, | .dx\\\\V_s = \int [ {8\sqrt{( 1 - x^2 )} - 2x^2*\sqrt{( 1 - x^2 )} - \frac{8}{3} ( 1 - x^2 )^\frac{3}{2} } ] . dx$

- Integrate with respect to ( dx ) with limits: ( -1 , 1 )

$V_s = [ 4. ( arcsin ( x ) + x\sqrt{1 - x^2} ) - \frac{arcsin ( x ) - 2x ( 1 -x^2 )^\frac{3}{2} + x\sqrt{1 - x^2} }{2} - \frac{ 3*arcsin ( x ) + 2x ( 1 -x^2 )^\frac{3}{2} + 3x\sqrt{1 - x^2} }{3} ] | \limits^1_-_1\\\\V_s = [ \frac{5}{2} *arcsin ( x ) + \frac{5}{3}*x ( 1 -x^2 )^\frac{3}{2} + \frac{5}{2} *x\sqrt{1 - x^2} ) ] | \limits^1_-_1\\\\V_s = [ \frac{5\pi }{2} + 0 + 0 ] \\\\V_s = \frac{5\pi }{2}$

Answer: The volume of the solid bounded by the curves is ( 5π/2 ) units^3.

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8 0

2 years ago