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3 years ago

A cyclist cycles a distance of 40 miles in a time of 2 hours. what is her average speed?

Mathematics

1 answer:

snow_lady [41]3 years ago

6 0

Answer:

see this and it by your own

Step-by-step explanation:

How do you find average speed with distance and time?

Divide the distance by the time.

This will give you the average speed per unit of time, usually hour. So, if Ben traveled 150 miles in 3 hours, his average speed is 50 miles per hour

How do you find average speed with hours and minutes?

How to calculate average speed. Speed is distance divided by time. Simply put, if you drove 60 kilometer's for one hour, it would look like this: Speed = distance (60 km) / time (1 hour) = 60km/h.

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Which equation is equivalent to..

svet-max [94.6K]

Answer:

Step-by-step explanation:

$1/3)^{x}$ = $\frac{1}{3^{x} }$ = $3^{-x}$

and

$27^{x+2}$ = $(3^{3})^{x+2}$ = $3^{3(x+2)}$ = $3^{3x+6}$

Hence expression D is equivalent

6 0

3 years ago

Solve the given differential equation by using an appropriate substitution. the de is homogeneous. (y2 yx) dx − x2 dy = 0

Schach [20]

The solution for the given differential equation is lnlxl = $\frac{-x}{y} +C$

Given,

$(y^{2} +y^{x} )dx - x^{2} dy =0$

Here,

x = vy, dx = vdy + ydv

y = ux, dy = udx + xdu

Then,

$((ux)^{2} +(ux)x)dx-x^{2} (udx+xdu)=0\\=u^{2} x^{2} dx+ux^{2} dx-x^{2} udx-x^{3} du=0\\=u^{2} x^{2} dx=x^{3} du\\=\frac{x^{2} }{x^{3} } dx=\frac{1}{u^{2} } du$

Now,

$\int\limits^a_b {\frac{1}{x} } \, dx =\int\limits^a_b {u^{-2} } \, du$

l $n$ l $x$ l $=\frac{u^{-1} }{(-1)} +C$

l $n$ l $x$ l $=\frac{-1}{u} +C$

y = ux

u = $\frac{y}{x}$

That is l $n$ l $x$ l $=\frac{-x}{y} +C$

Learn more about differential equation here: brainly.com/question/21852102

#SPJ4

8 0

1 year ago

Many people consider their smart phone to be essential! Communication, news, Internet, entertainment, photos, and just keeping c

g100num [7]

Answer:

a) 0.4567

b) 6 hours

Step-by-step explanation:

We are given the following information the question:

The battery life follows a normal distribution with

$\mu = 9.75\\\sigma = 2.3$

Formula:

$z = \displaystyle\frac{x-\mu}{\sigma}$

a) We have to find probability such that battery life exceeds 10 hours, that is,

P(X>10)

$P(z > \displaystyle\frac{10 - 9.75}{2.3}) = P(z>0.1086)\\\\= 1 - P(z \leq 0.1086)\\= 1- 0.5433\\=0.4567$

b) We have to find battery life such that

$P(X \leq x) = 0.05\\\\P(z \leq \displaystyle\frac{x-9.75}{2.3}) = 0.05\\\\\displaystyle\frac{x-9.75}{2.3} = -1.64 \\\\x = (-1.64)(2.3) + 9.75\\x = 5.978$

Here, we calculated the value of z from the normal distribution table.

So, after approximately 6 hours one should plan to recharge the phone.

7 0

3 years ago

Como convertir una fraccion en numero entero

MAXImum [283]

Answer:

Para convertir una fracción (n/m) a un número entero tenemos que dividir el numerador entre el denominador. Es decir, el número que se encuentra expresado como n (parte superior) entre el número expresado como m (parte inferir).

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

3 For the compensation D(s) = 25 s + 1 s + 15 use Euler’s forward rectangular method to determine the difference equations for a

murzikaleks [220]

Answer:for FRR method the difference equation is given by:

u(k+1)=0.8125u(k)+(-24.68)e(k)+25e (k+1)

Step-by-step explanation:see the pictures attached

3 0

3 years ago