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Bad White [126]
3 years ago
12

HELP

Mathematics
1 answer:
KiRa [710]3 years ago
8 0
M=2,000÷((1−(1+0.072÷12)^(−12
×2))÷(0.072÷12))
M=89.73
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The picture shows the footprints of a man walking. The pace length P is the distance between the rear of two consecutive footpri
Rina8888 [55]

Bernard’s walking speed is 140 meters per minute

Bernard’s walking speed is 8.4 kilometers per hour

Step-by-step explanation:

The pace length P is the distance between the rear of two consecutive footprints

The formula, n P = 140, gives an approximate relationship between n and P where,

  • n = number of steps per minute
  • P = pace length in meters
  • Bernard knows his pace length is 0.80 meters
  • The formula applies to Bernard’s walking

We need to calculate Bernard’s walking speed in meters per minute and in kilometers per hour

∵ n = number of steps per minute

∴ n unit is number / minute

∵ P = pace length in meters

∴ P unit is meter

- That means n P unit is meters/minute

∴ n P represents the speed in meters per second

∵ The formula applies to Bernard’s walking

∵ His pace length is 0.80 meters

∵ n P = 140

∴ n(0.8) = 140

- Divide both sides by 0.8

∴ n = 175

- That means he moves 175 steps per minute

∵ The distance he walks in minute = 175 × 0.8 = 140 meters/minute

∴ His speed is 140 meters per minute

Bernard’s walking speed is 140 meters per minute

∵ 1 km = 1000 m

∵ 1 hour = 60 minutes

- Divide the meters by 1000 and the minute by 60 to change

   from meters per minute to kilometers per hour

∴ His walking speed = \frac{140}{1000} ÷ \frac{1}{60}

- Change ÷ to × and reciprocal the fraction after the division sign

∴ His walking speed =  \frac{140}{1000} × \frac{60}{1} = 8.4 km/h

Bernard’s walking speed is 8.4 kilometers per hour

Learn more:

You can learn more about the speed in brainly.com/question/5461619

#LearnwithBrainly

7 0
3 years ago
Assume that in january 2013, the average house price in a particular area was $289,400. in january 2000, the average price was $
PtichkaEL [24]
The problem is an arithmetic sequence with:
a₁ = 206,300
an = 208,400

n = 2013 - 2000
n = 13

To find the annual increase, use this following formula
an = a₁ + d(n - 1)
d represents the annual increase

Input the numbers
an = a₁ + d(n - 1)
289,400 = 206,300 + d(13 - 1)
289,400 = 206,300 + 12d
289,400 - 206,300 = 13d
83,100 = 12d
12d = 83,100
    d = 83,100/12
    d = 6,925

The annual increase is $6925
7 0
3 years ago
40 + x + 25= 180
sveta [45]

\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's solve ~

\qquad \sf  \dashrightarrow \:40 + x + 25 = 180

\qquad \sf  \dashrightarrow \:x + 65 = 180

\qquad \sf  \dashrightarrow \:x = 180 - 65

\qquad \sf  \dashrightarrow \:x = 115

I hope you understood the procedure, please let me know if you have any doubts

6 0
2 years ago
Point A is located at (2, 6), and point M is located at (−1, 8). If point M is the midpoint of segment AB, find the location of
Viefleur [7K]

ANSWER:

d. (−4, 10)

STEP-BY-STEP EXPLANATION:

The midpoint has the following definition:

\left(x_m,y_m\right)=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)

We can calculate point B, using the following equations obtained taking into account the above:

\begin{gathered} x_m=\frac{x_1+x_2}{2} \\  \\ -1=\frac{2+x_2}{2} \\  \\ x_2+2=-2 \\  \\ x_2=-2-2=-4 \\  \\  \\ y_m=\frac{y_1+y_2}{2} \\  \\ 8=\frac{6+y_2}{2} \\  \\ y_2+6=16 \\  \\ y_2=16-6=10 \\  \\ \text{ Therefore, point B is located at \lparen-4, 10\rparen} \end{gathered}

The correct answer is: d. (−4, 10)

8 0
1 year ago
The distance light travels in one light year is 5,880,000 meters. Write this is scientific notation.
iris [78.8K]
5,880,000 in scientific notation is: 5.88 x 10^6
6 0
3 years ago
Read 2 more answers
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