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3 years ago

Find the surface area. 1 m 10 m

Mathematics

1 answer:

nignag [31]3 years ago

7 0

Answer:

$A=69.11\ m^2$

Step-by-step explanation:

Given that,

The radius of cylinder, r = 1m

Height of the cylinder, h = 10 m

We need to find the surface area of the cylinder. The total surface area of a cylinder is given by :

$A=2\pi r^2+2\pi rh\\\\A=2\pi r(r+h)$

Put all the values,

$A=2\pi \times 1(1+10)\\\\=69.11\ m^2$

So, the surface area of the cylinder is equal to $69.11\ m^2$ .

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Revenue

denis23 [38]

Answer:

Step-by-step explanation:

Given that a small business assumes that the demand function for one of its new products can be modeled by

$p=ce^{kx}$

Substitute the given values for p and x to get two equations in c and k

$40 = ce^{1200k} \\45 = ce^{1000k}$

Dividing on by other we get

$\frac{45}{40} =e^{-200k} \\-200 k = ln (45/40) = 0.117583\\k = -0.000589$

Substitute value of k in any one equation

$45 = ce^{-0.589} \\c=45.02651$

b) Revenue of the product is demand and price

i.e. R(x) = p*x = $45.02651xe^{-0.000589x}$

Use Calculus derivative test to find max Revenue

R'(x) = $45.02651 e^{-0.000589x}-45.02651*0.000589 x e^{-0.000589x}\\$

EquateI derivative to 0

1-0.000589x =0

x = 1698.037

When x = 1698 and p = 16.56469

7 0

3 years ago

A store is having a sale on jellybeans in trail mix. For 2 pounds of jellybeans and 12 pounds of trail mix, the total cost is $2

Tresset [83]

Answer:

The jelly beans cost $2.25 / pound

The trail mix costs $1.25 / pound

Step-by-step explanation:

Let +a+ = cost/pound of jelly beans

Let +b+ = cost/pound of trail mix

(1) 6a + 2b =16

(2) 3a + 5b =13

Multiply both sides by 2

and subtract (1) from (2)

(2) 6a -2b = -16

(1) -6a -2b = -16

8b=10

b=1.25

and

(1) 6a+2b=16

(1) +3a+b=8

(1) 3a+1.25=8

(1) +3a=6.75

(1) a=2.25

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3 years ago

Pls help me I'll give brainlest and points

dmitriy555 [2]

Answer:

See below.

Step-by-step explanation:

O is the origin, so its abscissa is 0. O: 0

The only point 4 units from O is A, so A: 4

Point C has a positive abscissa like A.

Points B and C have opposite abscissas. The only opposites are -3 and 3, but C is positive, and B is negative.

B: -3

C: 3

D: -4.5

E: -6

M = (4 + (-6))/2 = -1. M: -1

OB = |0 - (-3)| = |3| = 3

DA = |-4.5 - 4| = |-8.5| = 8.5

4 0

3 years ago

A collage student is deciding how many hours to work at a part time job and at an internship. The job pays $25 an hour, and the

Jobisdone [24]

Answer:

12x+25y is greater then or equalt to 250

Step-by-step explanation:

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3 years ago

Of the 15-year-olds at a karate school, 7 have black belts and 10 have brown belts. Among the 16-year-olds, 10 have black belts

kakasveta [241]

The 15-year old age group has the lower ratio (15years = 7:10. 16yr = 10:19

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4 years ago