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Natali5045456 [20]
3 years ago
11

Find A ∩ B given A = {the Integers} and B = {the Rational numbers}.

Mathematics
1 answer:
garri49 [273]3 years ago
8 0

Step-by-step explanation:

Since, every integer can be expressed as rational number.

\therefore A\cap B = B \\

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Suppose a rectangular plot is to be fenced in, with the fencing on each of the four sides (labeled east, west, north, south) cos
Damm [24]

Answer:

A = 1701,38 ft²

Dimensions :

x (north and south sides )  =  38.89 ft

y ( east and west sides )    =   43,75 ft

Step-by-step explanation:

North  and south (sides of same length) equal  "y"  cost  (4 + 5 ) = 4,5  $/ft²

East and west   (sides of same length)  equal   "x"   cost   ( 3 + 5 ) = 4 $ /ft²

Equation of cost is

C  = Cost of (north + south ) + Cost (east + west)

C = 2 * 4,5 * x  + 4*2* y

C = 9x + 8y                        

700 = 9x + 8y    ⇒              y = ( 700- 9x)/ 8

A = x*y

A(x)  =  x * ( 700 - 9x ) /8

A(x)  =  ( 700 x  -9x²) / 8       A´(x)  = ( 700 - 18 x )/ 8    A´(x) = 0

( 700 - 18 x )/ 8 = 0       ⇒  700 - 18 x  = 0   ⇒ x = 700/18

x = 38.89 ft

y  = ( 700 - 9x )/8      ⇒  y = 349.99 / 8     ⇒  y = 43.75

And maximum ara is

A = x*y         A = 38.89 * 43.75  =  1701,38 ft²

5 0
4 years ago
Liam built a scale model of a ship using the scale 2:24. The scale model ship is 14 in. long and 6 in. tall. (a) What are dimens
Oxana [17]

Answer:

MY sister knows

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
Can I please get help with this question? thanks in advance.
Llana [10]

The answer is the last choice, 8x.

The expression to represent the problem would be x+8; Where x is the unknown amount of orders received on Thursday, and 8 is the amount received on Friday.

Combined, the total would be 8x.

x+8=8x

6 0
3 years ago
Suppose the tank has a vertex angle of 60° and the circular hole has radius 4 inches. Determine the differential equation govern
stepladder [879]

The time it will take the tank to be empty is;

<em><u>t = 1.26 minutes</u></em>

The image of the initial tank is missing and so i have attached it.

Let's call the area of the hole be A_h

  • From conservation of energy, velocity at which water leaves the tank is; v = √2gh

Thus, volumetric rate;  = A_h(√2gh)

  • If we consider possible friction and contraction, we differentiate to get;

dV/dt = -cA_h(√2gh)

Now, volume of tank is;

V = ¹/₃πr²h

V' = dv/dt =  (¹/₃πr²h)dh/dt

Thus; -cA_h(√2gh) = (¹/₃πr²h)dh/dt

  • Integrating to get t gives us;

t = (2(√H - √h))/(3c√2g × (r'/r)²)

where;

r' is radius of circular hole = 4 inches = 0.333 ft

h = 0 since the tank has a hole

c = 0.6

g = 32 ft/s²

H = 8 ft

  • Since the vertex has an angle of 60°, then a line of symmetry across it divides the angle into two which will be 30° each. We can use trigonometry to find the current radius r.

Thus; r/H = tan 30°

r = 8 tan 30°

r = 4.6188 ft

Thus;

t = (2(√8 - √0))/(3 × 0.6(√2 × 32) × (0.333/4.6188)²)

t = 75.5757 seconds

Converting to minutes gives; t = 1.26 minutes

Read more at; brainly.com/question/24319549

7 0
3 years ago
FREE BRAINLIEST!! ill also answer questions that you have posted if you answer correctly!!!! (22pts)
GenaCL600 [577]

Answeri think its b lmk if im right or wrong :)

Step-by-step explanation:

8 0
3 years ago
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