Una pileta de natación tiene un desnivel en el fondo, de tal manera que su profundidad varía entre 1m y 4,3m. ¿Cuál es el cambio de presión al nadar por el fondo de la pileta, desde la zona más baja hacia la zona más profunda? (Aplique Teorema Fundamental de la Hidrostática). Peso específico agua: γ=1000kgf/m³

9514 1404 393

Answer:

  20 people

Step-by-step explanation:

Let n represent the number of people served. If each ate 1/5 of a pizza and there are 4 pizzas, we have ...

  (1/5)·n = 4

The solution can be found by multiplying both sides of the equation by 5.

  5(1/5)n = 5(4)

  n = 20

20 people could be served.

Answer: dont listen to the answer above

Step-by-step and you'll fall down the shdausta and tyou get deleminate dby the stairs and bu the fat cat in cthe chaet

Answer:

The shape is translated four units left, and 2 units up, therefore the answer would be x=-4 and y=+2

Answer:

P= (1,-1)= P'= (-3,1)

T=(4,-1)=T'= (0,1)

R=(5,1)=R'= (1,3)

A= (5,3)=A'= (1,5)

So you would move the points 4 units across (left) and 2 units up (2,-4)

I would think your answer is right, it would be the second choice. Its just a little hard to determine because you would use the method of moving the point but to double check you would use one of the points, for example (1,-1) you would do 1+2-4 to see if you would get -3 and do the same with -1, -1+2-4. I hoped this helped!

The value of a₄ is -9

Recursively defined sequence is the sequence where every term is calculated by the use of the one or more previous term given.

In this given problem

a₁ = 5

given relation between term is [tex]a_{n+1}[/tex] = 2aₙ -7

using this relation

take n=1

a₂ = 2a₁-7 =(2*5)-7=3

then by taking n=2

a₃ = 2a₂-7 =(2*3)-7=-1

then taking n=3

a₄= 2a₃-7 =(2*(-1))-7= -9

so the final answer will be a₄ = -9

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Answer:

[tex]y = 12.25[/tex]

Step-by-step explanation:

Area of parallelogram = [tex]49 {cm}^{2} [/tex]

∴ Side of Parallelogram = [tex]s = \frac{perimeter}{4} [/tex]

[tex]∴ \: s = y[/tex]

[tex]y = \frac{49}{4} [/tex]

[tex]y = 12.25[/tex]

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Answer:

x = 1

y = 1

Step-by-step explanation:

3x - 2y = 1

2x + 2y = 4

3x - 2y + 2x + 2y = 1 + 4

3x + 2x = 5

5x = 5

5x ÷ 5 = 5 ÷ 5

x = 1

2x + 2y = 4

2(1) + 2y = 4

2 + 2y = 4

2 - 2 + 2y = 4 - 2

2y = 2

2y ÷ 2 = 2 ÷ 2

y = 1

Check:

3x - 2y = 1

3(1) - 2(1) = 1

3 - 2 = 1

x and y being 1 works for the first equation.

2x + 2y = 4

2(1) + 2(1) = 4

2 + 2 = 4

x and y being one works for both equations.

Answer:

6y

Step-by-step explanation:

The two figure are squares with the same area

side = √area = √y^2 = y (with y>0 because a length can‘t be negative)

perimeter = side * 6 = y * 6 = 6y

Answer:

5.19 Km

Step-by-step explanation:

According To the Question,

Suppose he Runs Xkm before swimming to minimize the time it takes to reach the island .

So, he should swim [tex]\sqrt{2^{2}+(6-X)^{2} } Km[/tex] .

Now The Total Time is t = [tex]\frac{X}{8} + \frac{\sqrt{2^{2}+(6-X)^{2} } }{3}[/tex] .

t = [tex]\frac{X}{8} + \frac{\sqrt{X^{2}-12X+40 } }{3}[/tex]

[tex]\frac{dt}{dX}=1/8 + 1/3 * 1/2 * \frac{2X-12}{\sqrt{X^{2}-12X+40 } }[/tex]

[tex]\frac{dt}{dX}=1/8 + \frac{1}{3} * \frac{X-6}{\sqrt{X^{2}-12X+40 } }[/tex]

Now Put [tex]\frac{dt}{dX} = 0[/tex] , we get

[tex]1/8 + \frac{1}{3} * \frac{X-6}{\sqrt{X^{2}-12X+40 } } = 0[/tex]

[tex]\frac{1}{3} * \frac{X-6}{\sqrt{X^{2}-12X+40 } } = - \frac{1}{8}[/tex]

8(X-6)= -3 × [tex]{\sqrt{X^{2}-12X+40 }[/tex]

square on both side,We get

64(X²-12X+36) = 9X² - 108X +360

55X² -660X + 1944 = 0

Apply Shri Dharacharya formula, To Find The Value of 'X'

X =[ - (-660) ±[tex]\sqrt{(-660)^{2}-4*55*1944 }[/tex]  ] ÷ 2×55

X = (660±√7920) / 110

X= (660 - 89 ) / 110  ⇒ (Neglect '+' because it give 749/110 = 6.8 km Which is not possible )

X=571/110 ⇔ 5.19km he Should Run before swimming to minimize the time .

(For Diagram,Please Find In Attachment)

Answer:

F=0.46N

Step-by-step explanation:

[tex]F[/tex]∝[tex]\frac{1}{d^{2}}[/tex],

[tex]F=\frac{k}{d^{2} } \\[/tex]

[tex]F=0.35N, d=8m\\[/tex]

[tex]0.35=\frac{k}{8^{2} }[/tex]

[tex]k=0.35\times 8^{2} \\\\k=22.4\\F=\frac{22.4}{d^{2} } \\d=7m, F=\frac{22.4}{7^{2} } =0.46N[/tex]

Answer: 1.45 is a growth factor.

Step-by-step explanation:

Exponential growth function: [tex]y=Ab^x[/tex], where A = initial value , b = growth factor (if b>1)

Here, The expression [tex]6.7\cdot(1.45)^t[/tex] models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project t years since 2002.

Here, b=1.45 >1

Thus,1.45 is a growth factor.

Answer:

No solution because there is no c variable

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer:

The two numbers are 157 and 13

Step-by-step explanation:

Let x and y be the two numbers

x+y = 170

x-y =144

Add the two equations together

x+y = 170

x-y =144

-------------------

2x= 314

Divide by 2

2x/2 = 314/2

x =157

Now find y

x+y = 170

157+y = 170

y = 170-157

y =13

Answer:

Step-by-step explanation:

6ax +12by -9ay -8bx

=6ax -8bx -9ay +12by

=2x(3a -4b)-3y(3a -4b)

=(2x-3y)(3a-4b)

Answer:

b = - 1.09

Step-by-step explanation:

- 2.9 + b ÷ 0.1 = - 39.9

- 2.9 + b ÷ 0.1 × 0.1 = - 39.9 × 0.1

- 2.9 + b = - 3.99

- 2.9 + 2.9 + b = - 3.99 + 2.9

b = - 1.09

Answer:

Exact form

b=-37/10

Decimal form

b=-3.7

Mixed Number form

b+-3 7/10

Step-by-step explanation:

-2.9+b/1/10+-39.9

-2.9+10b+-39.9

10b=-39.9+2.9

10b=-37

b=-37/10

Answer:

y = 31 when x = 5

Step-by-step explanation:

We are to evaluate (not solve) the function y = 6 x + 1 for x = 5.

Substituting 5 for x in y = 6x + 1, we get

                                     y = 6(5) + 1  = 31

y = 31 when x = 5

[tex] \quad\quad \quad\quad\tt{y = 6x + 1}[/tex]

[tex] \quad\quad \quad\quad\tt{y = 6(5) + 1}[/tex]

[tex] \quad\quad \quad\quad\tt{y = 30 + 1}[/tex]

[tex] \quad\quad \quad\quad \boxed{\tt{y = 31}}[/tex]

[tex]\quad\quad \quad\quad \boxed{\tt \color{green}{y = 31}}[/tex]

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Answer:

64cm² I think :) if u get it wrong dont blame it on me.

Answer:

64 cm^2

Step-by-step explanation:

The area of a square can be calculated by A = s^2 (Area = side squared aka the side multiplied by itself)

A = s^2

= 8^2 (8 x 8)

= 64 cm^2

Answer:

15.65 units

Step-by-step explanation:

Given data

x1=-5

y1=-10

x2=2

y2=4

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((2-(-5))²+(4-(-10))²)

d=√(2+5)²+(4+10)²

d=√7²+14²

d=√49+196

d=√245

d=15.65 units

Hence the distance between the points is 15.65 units

Answer:

1,3,4,6

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

3 x 2=6

6 - 2= 4

Answer:

y = 4

Step-by-step explanation:

Equation: y = 3x - 2

Plug in x = 2

New equation: y = 3(2) - 2

Simplify: y = 6 - 2 --> y = 4

Answer: y = 4

Explanation:

This is after using the nCr combination formula

[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]

where in this case n = 7 and r = 4. Note how n-r = 7-4 = 3.

We use nCr instead of nPr because the order of the toppings doesn't matter.

Answer:

what kind of math is that?

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

You plug the value of -3 into where the x is {-(-3)^2} + 6, resulting in -3.

Answer: keith

Step-by-step explanation:

The system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

p = 6d

p = 5d + 15

Since we know that,

A system of equations is the set of equations in which the finite set of equations is present for which the common solution is sought.

Two students are reading a book.  Keith reads 6 pages a day.

The equation for Keith, where d for days and p for pages can be given as,

p = 6xd

p = 6d

Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. The equation for Tameka, where d for days and p for pages, can be given as,

p = 5xd + 15

p = 5d + 15

Hence, the system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

p = 6d

p = 5d + 15

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Answer:

22/7 ×5^2(area of circle is2πr^3

78.57

Answer:

30/100

Step-by-step explanation:

30% as a fraction is 3/10; In simplest form is 30% = 30/100.

Answer:

the answer is B

Step-by-step explanation:

smort :)

Answer:

bbbbbbb

Step-by-step explanation: