What is 13/25 in decimal form

A coin is tossed 2 times. find the probability that all 2 tosses are tails

padilas [110]

1/2 × 1/2

1/4 or 25%

probability of tails both times

6 0

3 years ago

A farmer with 950 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to o

Gelneren [198K]

Answer:

22,562.5 ft²

Step-by-step explanation:

The largest possible area will be obtained when half the fencing is used for the long side of the 4 pens, so the dimension in that direction is (950 ft)/(2·2) = 237.5 ft.

The other half of the fencing will be used for the 2 ends and 3 partitions, each of which will be (950 ft)/(2·5) = 95 ft.

Then the overall area of the 4 pens is ...

... (237.5 ft)(95 ft) = 22,562.5 ft²

_____

<em>General Solution</em>

Suppose L is the length of fence available, and x is the length of the long side of the enclosed area. For n pens, the enclosed area will be ...

... A = x(L-2x)/(n+1)

For constant values of A, L, n, this describes a downward-opening parabola with zeros at x=0 and x=L/2. The vertex of the parabola (point of maximum area) will be halfway between these zeros, at x = (0 + L/2)/2 = L/4. That is, half the available fence is used in each of the orthogonal directions.

Note that adding partitions in the other direction replaces the 2 in the equation with (m+1), where m is the number of pens between the sides of length x. That is, if there are 4 pens in one direction by 3 pens in the other direction, the area will be

... A = x(L -(3+1)x)/(4+1)

and, once again, we find that half the fence is used in each of the orthogonal directions when we maximize the overall area.

6 0

3 years ago

At noon on tuesday in Chicago the temperature in degrees Fahrenheit was -2 Fahrenheit at noon on Wednesday the temperature was 8

bagirrra123 [75]

The temperature was 6 degrees Fahrenheit

4 0

3 years ago

Read 2 more answers

This math my graduation depends on it

In-s [12.5K]

In an arithmetic sequence, consecutive terms have a fixed distance d between them. If a₁ is the first term, then

2nd term = a₂ = a₁ + d

3rd term = a₃ = a₂ + d = a₁ + 2d

4th term = a₄ = a₃ + d = a₁ + 3d

and so on, up to

nth term = $a_n = a_{n-1} + d = a_{n-2} + 2d = a_{n-3} + 3d = \cdots = a_1 + (n-1)d$

so that every term in the sequence can be expressed in terms of a₁ and d.

6. It's kind of hard to tell, but it looks like you're given a₁₃ = -53 and a₃₅ = -163.

We have

a₁₃ = a₁ + 12d = -53

a₃₅ = a₁ + 34d = -163

Solve for a₁ and d. Eliminating a₁ and solving for d gives

(a₁ + 12d) - (a₁ + 34d) = -53 - (-163)

-22d = 110

d = -5

and solving for a₁, we get

a₁ + 12•(-5) = -53

a₁ - 60 = -53

a₁ = 7

Then the nth term is recursively given by

$a_n = a_{n-1}-5$

and explicitly by

$a_n = 7 + (n-1)(-5) = 12 - 5n$

7. We do the same thing here. Use the known terms to find a₁ and d :

a₁₉ = a₁ + 18d = 15

a₃₈ = a₁ + 37d = 72

⇒ (a₁ + 18d) - (a₁ + 37d) = 15 - 72

⇒ -19d = -57

⇒ d = 3

⇒ a₁ + 18•3 = 15

⇒ a₁ = -39

Then the nth term is recursively obtained by

$a_n = a_{n-1}+3$

and explicitly by

$a_n = -39 + (n-1)\cdot3 = 3n-42$

8. I won't both reproducing the info I included in my answer to your other question about geometric sequences.

We're given that the 1st term is 3 and the 2nd term is 12, so the ratio is r = 12/3 = 4.

Then the next three terms in the sequence are

192 • 4 = 768

768 • 4 = 3072

3072 • 4 = 12,288

The recursive rule with a₁ = 3 and r = 4 is

$a_n = 4a_{n-1}$

and the explicit rule would be

$a_n = 3\cdot4^{n-1}$

7 0

2 years ago

Solve 4sin^2 x-3=0 find two values of sinx that satisfy this equation

Leviafan [203]

$4 sin^{2} x-3=0 \\ 4 sin^{2} x=3 \\ sin^{2} x= \frac{3}{4} \\ sinx= \pm \sqrt{ \frac{3}{4} } \\ sinx= \frac{ \sqrt{3} }{2} \ or \ sinx=- \frac{ \sqrt{3} }{2} \\ x= \frac{ \pi }{3} , \ \frac{2 \pi }{3} , \ \frac{4 \pi }{3} , \ \frac{5 \pi }{3}$

5 0

3 years ago

What is 13/25 in decimal form​

What is 13/25 in decimal form