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Basile [38]
4 years ago
14

A company makes glass lawn ornaments with a radius of 9 inches. The glass to make the balls costs the company $0.03 per

Mathematics
1 answer:
andreyandreev [35.5K]4 years ago
6 0

Answer: $30.52

Step-by-step explanation:

Hi, to answer this question we have to calculate the surface area of the ornament:

Surface Area of a sphere = 4π r²

Replacing with the values given:

A = 4(3.14) (9)² = 1,017.36in2

Finally, we have to multiply the surface area by the price per square inch of glass.

1,017.36 (0.03)= $30.52

Feel free to ask for more if needed or if you did not understand something.

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1. (a) Let A = 1, 3, 5, 7 and B = X : X is the first three multiple of 7 . Find (A−B).
ICE Princess25 [194]

Answer:

a) A-B = { 1 , 3, 5 }

b) The remainder is 50

c) f + g)(x) = x⁴+ 5x³

d) \frac{dy}{dx} = \frac{2x- y^3(3x^2))     }{ 1- x^3 3y^2}

Step-by-step explanation:

Step(I):-

1) a)

Let A = { 1, 3, 5, 7 } and B = { 7 , 14 , 21 }

A - B = {1,3,5,7} - { 7,14,21}

A - B  = { 1 , 3, 5}

b)

Given f (x)=3x³−11x−48

    x-1  ) 3 x³ - 11x -48 (- 3x²-3x -2

            -3<u>x³ +3x</u>²

                 3x²-11x-48

                <u> -3x²+9x</u>

<u> </u>                      2x -48

                    -2x +2  

                    <u>                     </u>

                         50

The remainder is 50

   

c)  Given f(x) = x³ and g(x) = x + 5

(f. g)(x) = f(x) .g(x) = x³ . (x+5) = x³(x) + 5 x³ = x⁴+ 5x³

d)

 Given function   y = 3 + x²+x³y³  ...(I)

By using derivative formulas

            y = xⁿ

            \frac{dy}{dx} = n x^{n-1}

Apply d/dx ( UV) = U V¹ + V U¹



Differentiating equation (I) with respective to 'x' , we get

                      \frac{dy}{dx} = 0 + 2x + ( x^3 3y^2(\frac{dy}{dx} )+ y^3(3x^2))

                     \frac{dy}{dx} - ( x^3 3y^2(\frac{dy}{dx} )= 2x- y^3(3x^2))

                   \frac{dy}{dx} = \frac{2x- y^3(3x^2))     }{ 1- x^3 3y^2}



7 0
3 years ago
A point particle with charge q is at the center of a Gaussian surface in the form of a cube. The electric flux through any one f
TEA [102]

Answer:

iv. q/6E0

Step-by-step explanation:

Electric flux formula:

The electic flux formula, of a charge q is given by, through an entire cube, is given by:

E = \frac{q}{E_o}

In which E_o is a constant related to the material.

The electric flux through any one face of the cube is:

Key-word is face, and a cube has 6 faces, with the force distributed evenly throughout it. Thus

E_f = \frac{1}{6} \times \frac{q}{E_o} = \frac{q}{6E_o}

And the correct answer is given by option iv.

8 0
3 years ago
Help with this too please!!!
Arlecino [84]

Answer:

1. 150 2.55 3.63 4.325

Step-by-step explanation:

1. 180 minus 30 2. 180 minus 125 3. 90 minus 27 4. 380 minus 35

8 0
3 years ago
The same Honey is sold in two different size jars. Large jar= 540g for £4.10 Small jar= 360g for £2.81. By considering the amoun
Ray Of Light [21]

Answer:

From our calculations the large jar is the best value for money because a penny buys more honey

Step-by-step explanation:

<h2>In this problem we are expected to determine which purchase of honey is the cheapest ? large jar or small jar ?.</h2><h2 />

We will determine which has the best value for money using the quantity a pound can purchase.  

firstly for the large jar.

if £4.10 will purchase 540g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

x=  \frac{1.00*540g}{4.10}

x= 131.7grams

Hence for the large jar a penny would buy 131.7g of honey

secondly for the small jar

if £2.81 will purchase 360g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

x=\frac{1.00*360g}{2.81}\\x= 128.1gram

Hence for the small jar a penny would buy 128.1g of honey

4 0
4 years ago
How do I answer this?​
Stels [109]
If you are trying to find the area the answer would be 48
3 0
3 years ago
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