Please help this is due and i only got the second part done

Gisele trains 7 days per week for a biathlon. She covers a total of 20 miles cycling and running each day. Gisele cycles a total

IgorLugansk [536]

The choice which describes the solution is; The solution is 5, which represents the number of miles she runs each day.

<h3>Word problems</h3>

According to the task content;

The total distance covered running and cycling per day is; 20miles

Additionally, she cycles a total of 105 miles each week.

From the statement above; it follows that;

The number of miles she cycles per day since 7 days make a week is;

105/7 = 15.

Hence, it follows that the equation; (15+r) = 20 represents the daily distance covered by cycling and running.

On this note, it follows that;

r = 20 -15 = 5.

Hence, The solution is 5, which represents the number of miles she runs each day.

Read more on word problems;

brainly.com/question/21405634

4 0

1 year ago

A buoy floating in the sea is bobbing in simple harmonic motion with period 2 seconds and amplitude 8 in. Its displacement d fro

Mrac [35]

Answer:

The equation of the displacement $d$ as a function of time $t$ is :

$d(t)=8sin(\pi t+\pi )$

Step-by-step explanation:

Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple $sin$ or $cos$ terms.

Thus,

$d(t) = Asin(wt+c)$

is the general form of displacement of a SHM.

where,

$d(t)$ is the displacement with respect to the mean position at any time $t$
$A$ is amplitude
$w$ is the natural frequency of oscillation ( $rads^{-1}$ )
$c$ is the phase angle which indicates the initial position of the object in SHM ( $rad$ )

given,

Time period ( $T$ ) = $2s$
$A=8$
The natural frequency ( $w$ ) and time period ( $T$ ) is :

$w=\frac{2\pi} {T}$

∴

$w$ = $\frac{2\pi }{2} = \pi$ $rads^{-1}$

∴

the equation :

⇒ $d(t)=8sin(\pi t+c)$ ------1

since $d=0$ when $t=o$ ,

⇒ $0=8sinc\\c=n\pi$ ------2

where n is an integer ;

⇒since the bouy immediately moves in the negative direction , $x$ must be negative or c must be an odd multiple of $\pi$ .

⇒ $d(t) = 8sin(\pi t+(2k+1)\pi )$ ------3

where k is also an integer ;

the least value of $k=0$ ;

thus ,

the equation is :

$d(t)=8sin(\pi t+\pi )$

7 0

2 years ago

I'm totally lost. How do I do this?

Mkey [24]

Don't get confused by the "0.01 cm" that's just telling you to round to the hundredths place. Moving on, the shaded area's exterior shows us that it is a square. Meaning you do s^2 to find the area. So, you find the square root of 15 which is 3.87... This means the diameter is also 3.87 because the diameter is equivalent to the side's measurement. Divide 3.87 by 2 to find the radius, giving you 1.935. This represents OT's length. Now, just round to the hundredths giving you 1.94 cm.

5 0

2 years ago

Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.

ycow [4]

This involves quite a lot of arithmetic to do manually.

The first thing you do is to make the first number in row 2 = to 0.

This is done by R2 = -3/2 R1 + R2

so the matrix becomes

( 2 1 1) ( -3 )

( 0 -13/2 3/2) (1/2 )

(5 -1 2) (-2)

Next step is to make the 5 in row 5 = 0

then the -1 must become zero

You aim for the form

( 1 0 0) (x)

(0 1 0) (y)

(0 0 1) ( z)

x , y and z will be the required solutions.

4 0

3 years ago

Read 2 more answers

NEED HELP PLEASEE

Kruka [31]

Answer:

Simplify−412+16t+48.h=16t−1633

Step-by-step explanation:

4 0

3 years ago