1. It is the capacity to direct and discipline one's
activities and the behavior using reason that is
cautious and, as much as possible, keeps
from any risks.​

Answer:

See below

Step-by-step explanation:

[tex] \frac{1}{4} \times \frac{900}{1} \\ \\ = \frac{1 \times 900}{4 \times 1} \\ \\ = \frac{900}{4} \\ \\ = \frac{9 \times \cancel {100} }{\cancel4} \\ \\ = 9 \times 25 \\ \\ = 225[/tex]

Answer:

four of 225 makes 900/1, or 900. So, one 225 should be one of the four 225s that equal 900. 1/4 × 1/900, or 1/4 of 900, should be 225.

Answer:

Angle E

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Given that:

Space left on flash drive = 3/71 * 10^7 bytes = 0.0422535 * 10^7 = 422535.21 bytes

Size of each file = 8.2 * 10^4 bytes = 82000 bytes

Number of files that can be copied :

(422535.21) / (82000)

= 5.1528684

Number of files that can be copied = 5 files

Answer:

4lb and 6oz

Step-by-step explanation:

number one is

Answer:

16 ; 16.5

Step-by-step explanation:

Given the data:

X = 9, 20, 17, 21, 16, 13

1.) The mean of the data:

Σ(X) / n

n = sample size ; n = 6

(9 + 20 + 17 + 21 + 16 + 13) / 6

= 96 / 6

= 16

2.) The median :

Rearranged data : 9, 13, 16, 17, 20, 21

1/2 (n + 1)th term

1/2 (6 + 1)th term

1/2 (7) th term

The 3.5 th term is the median:

(3rd + 4th) / 2

(16 + 17) / 2

33 /2 = 16.5

Answer:

Step-by-step explanation:

This is easy. The first step here is to simplify the numbers inside the parentheses.

10 1/4 + 61 = 71 1/4

3 3/5 - 3 1/2 = 3 6/10 - 3 5/10 (We needed to get both with like denominators, so we raised the fractions to an equivalent denominator.)

3 6/10 - 3 5/10 = 1/10

Now, we will do the operation outside of the parentheses.

71 1/4 - 1/10 = 71 5/20 - 2/20  = 71 3/20

Answer:

-60

Step-by-step explanation:

because the abousulte value at first is 60 and then you multiple it by the negative that's there

Answer:

-60

Step-by-step explanation:

first you do inside the absolute it has to be positive

so it`s 60

but the outside is negative

so the answer must be -60

9514 1404 393

Answer:

  $3891.10

Step-by-step explanation:

This question is a bit unusual in that the interest is compounded annually, but payments and withdrawals are made monthly. The effective monthly rate is ...

  1.05^(1/12) -1 = 0.407412378% = i

We assume that payments to the annuity are made at the end of the month, and that withdrawals are made at the beginning of the month. (The last payment and the first withdrawal are made on the same day.)

The amount of money required in the fund is ...

  A = $4000(1 -(1.00407^-360))/(1 -1.00407^-1) = $757,712.88

The amount of money needed each month to be put into the fund is P, where ...

  $757,712.88 = P(1 -1.00407)^(-12(60-28))/(1 -1.00407^-1) = 194.7297P

  P = $757,712.88/194.7297 = $3891.10

Yejin needs to save $3891.10 each month to meet her retirement goal.

_____

Sanity check

Yejin wants payments for 30 years from the fund to which she has contributed for 32 years. The similarity of the time periods means that Yejin's monthly contribution will need to be very similar to the amount she plans to withdraw.

The only ways to reduce the required contribution are to earn a higher interest on deposits, or to adjust the relative time periods (retire later).

Step-by-step explanation:

hope this will help you.....

Answer:

Answer:

A) The point( -1 , 5)  is satisfies the  given graph  [tex]g(x) = (\frac{1}{5} )^{x}[/tex]

B) The point( 3 , 1/125)  is satisfies the  given graph  [tex]g(x) = (\frac{1}{5} )^{x}[/tex]

Step-by-step explanation:

Explanation:-

Given graph  

               y =      [tex]g(x) = (\frac{1}{5} )^{x}[/tex]

Put the point ( -1 , 5)

Put y =5 and x =-1

            [tex]5 = (\frac{1}{5} )^{-1} = 5[/tex]

The point( -1 , 5)  is satisfies the  given graph

ii)

Given graph  

               y =      [tex]g(x) = (\frac{1}{5} )^{x}[/tex]

             [tex]\frac{1}{125} = (\frac{1}{5} )^{3} = \frac{1}{125}[/tex]

The point( 3 , 1/125)  is satisfies the  given graph  [tex]g(x) = (\frac{1}{5} )^{x}[/tex]

Answer:

Step-by-step explanation:

D  b/c you know that the two angles add to 180°

The solution is Option D.

The value of x can be calculated from the equation

( x + 40 ) + ( 2x + 20 ) = 180

What are Parallel Lines Cut by Transversal?

Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.

Corresponding angles

When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position

Alternate Interior Angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Alternate Exterior Angles

The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.

Consecutive Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles

Given data ,

Let the parallel lines be j and k

The transversal line is m

Now , the value ( 2x + 20 )° lies on one side of the transversal line

And the value ( x + 40 )° lies on one side of the transversal line

The total angle of a line is 180°

So ,

The sum of ( 2x + 20 )° and ( x + 40 )° will be 180°

Therefore , The solution is ( x + 40 ) + ( 2x + 20 ) = 180

Hence , The value of x can be calculated from the equation

( x + 40 ) + ( 2x + 20 ) = 180

To learn more about angles in parallel lines click :

https://brainly.com/question/28182928

#SPJ2

Answer:

1:96

2:64

3:65

5:66

Answer:

1:56...................

Answer:

7  1/2 feet

Step-by-step explanation:

Answer:

327.08 m/s

Step-by-step explanation:

Given that:

Length of pipe = 2.96m

4th harmonic frequency = 221 Hz

Speed of wave in the horn :

Speed of wave (v) = fλ

For 4th harmonic :

Wavelength, λ = (2/4)L

λ = L/2 ; 2λ = L

2λ = 2.96

λ = 2.96 / 2

λ = 1.48 m

Hence, speed of wave in the horn = 221 * 1.48 = 327.08 m/s

Answer:

slope = 4

Step-by-step explanation:

y2-y1/x2-x1 = slope

-4 - 4 / 3 - 5 = slope

-8/-2 = slope

8/2 = slope

4/1 = slope

4 = slope

Answer:

x = 40

Step-by-step explanation:

x + 2x + 6 = 126

3x + 6 = 126

3x = 120

x = 40

Answer:

77.245 i used me brane and paper and give brainliest and your in shcool why why why cheat

Step-by-step explanation:

Answer:

680.745

Step-by-step explanation:

hope this helps.

Answer:

True

Step-by-step explanation: Trust me

Answer:

6m

Step-by-step explanation:

9m - (5m-2) =

5m-2= 3m

9m - 3m= 6m

Please give Brainliest if it helped.

Answer:

$141.12

Step-by-step explanation:

Initial investment = $196

After 8 years with 9% interest rate it becomes: $337.12

The amount of interest will be:

= $337.12 - $196

= $141.12

This is equivalent to approximately 12.917 feet.

===================================================

Work Shown:

(10 inches)/(2 days) = (x inches)/(31 days)

10/2 = x/31

10*31 = 2*x ... cross multiply

310 = 2x

2x = 310

x = 310/2

x = 155

Keep in mind that this water is being drained on a fairly continuous basis. This means that not all of the water is sticking around (we'd hope not anyway) at the same moment in time.

Note: 155 inches = 155/12 = 12.917 feet approximately.

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

Alternative method:

If the town got 10 inches in 2 days, this means it rains at a unit rate of 10/2 = 5 inches per day.

Multiply that by 31 days and we get 5*31 = 155 inches of total rain.

9514 1404 393

Answer:

  x = 11

Step-by-step explanation:

A 2-digit repeating decimal fraction will have two 9s as the denominator. In this case the fraction can be reduced.

  [tex]0.\overline{27}=\dfrac{27}{99}=\dfrac{3}{11}[/tex]

Comparing this to 3/x, we see that x = 11.

Answer:

11

Step-by-step explanation:

sorry if im wrong

Answer:

d

Step-by-step explanation:

Answer:

im not sure how the data should be interpreted but here is the distribution. It goes up by .416

Step-by-step explanation:

the average of the first 8 games is 24

the average of the 12 games is 24.416

Answer:

might be 22.5 i think but i'm not sure correct me if i'm wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

the range is the difference between the largest and the smallest value

4.0-0.8=3.2

Answer:

80 percent

Step-by-step explanation:

Because there are green tiles so the possibility is 80 percent

Answer:

number 1

Step-by-step explanation:

Answer:

44 magazines need to be sold

Step-by-step explanation:

Y=Mx+b

400=12x-124

524=12x

43.6667 or 43 (2/3)

round up since you cant sell 2/3 of a magazine

Answer:

the inequality is 124+12x≤400

Step-by-step explanation:

x=23

hope this helps

Answer:

2x(x+6)(x-6)

Step-by-step explanation:

2x³-72

2x(x²-36)

2x(x+6)(x-6)