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Monica [59]
3 years ago
11

Mega HARD!!! wahts 21+159-

Mathematics
1 answer:
EleoNora [17]3 years ago
3 0

Answer:

180?

Step-by-step explanation:

That was the hardest thing I have ever done.

You might be interested in
Write the equation of the function of a parabola with vertex at (–1,–2) and a point (1,–6) that lies on the curve.
Olenka [21]

Answer:

f(x) = -(x + 1)² - 2

Step-by-step explanation:

f(x) = a(x - h)² + k

-6 = a(1 - -1)² + -2

-6 = a(4) -2

-4 = 4a

a = -1

f(x) = -(x + 1)² - 2

4 0
3 years ago
An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co
Blizzard [7]

Answer:

(a) C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2

    p(x)=320-7.7p

    R(x)=(320-7.7p)p=320p-7.7p^2

(b) x=82 \text{planes}

(c) p=\$30.91 M\;\; \text{per plane}

(d) maximum profit =\$ 15.90M

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

m(x)=20x-5x^{\frac{3}{4}}+0.01x^2

(a)  Find the cost, demand (or price), and revenue functions.

   C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2

   p(x)=320-7.7p

   R(x)=(320-7.7p)p=320p-7.7p^2

(b)  Find the production level that maximizes profit.

    f=R(x)-C(x)

 \Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)

\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx

     x=320-7.7p

     p=\frac{320-x}{7.7}

    \frac{dp}{dx} = \frac{-1}{7.7}

\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0

    \Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0

   \Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0

   \Rightarrow x=82 \text{planes}

(c)  Find the associated selling price of the aircraft that maximizes profit.

  p=\frac{320-82}{7.7}

\Rightarrow p=\$30.91 M\;\; \text{per plane}

(d)  Find the maximum profit.

Manufacturing cost of one plane is:

m(1)=20-5+0.01

         =\$15.01 M

maximum profit =\$(30.91-15.01)M

                           =\$15.90M

3 0
2 years ago
You see Bonnie rock climbing El Capitan. On your telescope is a clinometer. The angle
Marat540 [252]

Answer:

≈ 345.8 ft

Step-by-step explanation:

There is a right triangle formed by Bonnie's height (h) the ground and the angle of elevation.

Using the tangent ratio in the right triangle

tan20° = \frac{opposite}{adjacent} = \frac{h}{950} ( multiply both sides by 950 )

950 × tan20° = h , thus

h ≈ 345.8 ft ( to 1 dec. place )

8 0
3 years ago
The null space for the matrix is spanned by the vector:_______
mafiozo [28]

Answer:

True

Step-by-step explanation:

The null space of matrix is set of all solutions to matrix. The linearly independent vectors forms subset which are spanned and forms the null space. The null space of vector can be found by reducing its echelon. The non zero rows formed are the null spaces of matrix.

8 0
3 years ago
*^%Brainliest 15 pounds Question 5 (2 points)
galben [10]

Answer:

0

Step-by-step explanation:

Separate into two parts

\frac{4xy^{3} }{2xy^{2} }  +  \frac{8x^{2} {y}^{5} }{2x {y}^{2} }

Simplify:

This is for the first fraction

\frac{4x {y}^{3} }{2x {y}^{2} }  = (4 \div 2)(x \div x)( {y}^{3}  \div  {y}^{2} )

2(1)( {y}^{3 - 2} )

2{y}

Now for the second fraction:

\frac{8 {x}^{2} {y}^{3}  }{2x {y}^{2} }  = ( 8 \div 2)( {x}^{2}  \div x)( {y}^{5}   \div   {y}^{2} )

4( {x}^{2 - 1} )( {y}^{5 - 2} )

4x {y}^{3}

Add both parts together

2y + 4x {y}^{3}

To turn this into the said formula, that would become:

2 {x}^{0}  {y}^{1}  + 4 {x}^{1}  {y}^{3}

Where:

a=0

b=1

c=1

d=3

Any value with an exponent 0 except zero will be equal to 1

4 0
3 years ago
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