All categories

2 years ago

Avery types a 42 word paragraph in 2/3 minute. What is her typing speed in words per

Mathematics

1 answer:

satela [25.4K]2 years ago

5 0

Answer:

Step-by-ste63p explanation:

2/3 = 42

1/3 = 42 ÷ 2

=21

3/3 is 1 min

3/3 = 21 x 3

= 63

You might be interested in

First-order linear differential equations

kkurt [141]

Answer:

$(1)\ logy\ =\ -sint\ +\ c$

$(2)\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Step-by-step explanation:

1. Given differential equation is

$\dfrac{dy}{dt}+ycost = 0$

$=>\ \dfrac{dy}{dt}\ =\ -ycost$

$=>\ \dfrac{dy}{y}\ =\ -cost dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{y}}\ =\ \int{-cost\ dt}$

$=>\ logy\ =\ -sint\ +\ c$

Hence, the solution of given differential equation can be given by

$logy\ =\ -sint\ +\ c.$

2. Given differential equation,

$\dfrac{dy}{dt}\ -\ 2ty\ =\ t$

$=>\ \dfrac{dy}{dt}\ =\ t\ +\ 2ty$

$=>\ \dfrac{dy}{dt}\ =\ 2t(y+\dfrac{1}{2})$

$=>\ \dfrac{dy}{(y+\dfrac{1}{2})}\ =\ 2t dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{(y+\dfrac{1}{2})}}\ =\ \int{2t dt}$

$=>\ log(y+\dfrac{1}{2})\ =\ 2.\dfrac{t^2}{2}\ + c$

$=>\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Hence, the solution of given differential equation is

$log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

8 0

3 years ago

Zach has two savings accounts with a total of $9,000

Crazy boy [7]

4500 dollars! $9000 x 2 = 4500

7 0

3 years ago

In the table below, x represents the miles traveled and y represents the cost to travel by train.

Afina-wow [57]

Answer:

Third option

m = 2.25

Step-by-step explanation:

The slope of the function is equal to its rate of change between two points.

For example, for a couple of points $(x_1, y_1),\ (x_2, y_2)$

The slope is:

$m =\frac{y_2-y_1}{x_2-x_1}$

In this problem we have the following points

1.(2, 8.50) , 2. (5, 15.25), 3. (8, 22.00) , 4. (12, 31.00)

We calculate the slope between the first two points

$m =\frac{15.25-8.50}{5-2}=2.25$

We calculate the slope between the points 3 and 4

$m =\frac{31-22}{8-4}=2.25$

We calculate the slope between the points 2 and 3

$m =\frac{22-15.25}{8-5}=2.25$

The slope is always the same. Therefore m is constant and the fution is a line of slope m = 2.25

7 0

3 years ago

Read 2 more answers

Please Answer ASAP! (NO EXPLANATION NEEDED!) <3

salantis [7]

volume=l1*l2*l3

=8*15*20=2400cm^3

8 0

3 years ago

Read 2 more answers

PLEASE HELP I NEED HELP IN THIS GRADE 11 MATH PLS

seropon [69]

Answer:

radius and number rotation

4 0

1 year ago