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4 years ago

Mark is painting a mural. He paints 1/5 wall in 2/3 hour. what is his rate per hour?

1 answer:

6 0

For 2/3 hour, he painted = 1/5 wall
For 1 hour it would be: 1/5 / 2/3

We can re-write it as: 1/5 * 3/2 = 3/10 wall

So, your final answer is 3/10 wall

Hope it helped.

You might be interested in

The area between z=.34 and z=1.93

Umnica [9.8K]

Answer:

34.013%

0.36693 - 0.0268 = 0.34013

Step-by-step explanation:

z=.34 and z=1.93

0.34 0.36693

1.93 0.0268

7 0

3 years ago

Can someone help me with this math homework please!

mel-nik [20]

In case of Nina:

slope of graph = speed = 48-32/6-4 = 16/2 =8

y-32 =8(x-4)

y-32=8x-32

y=8x

d=8t

at x= 0 i.e at t= 0

d= 0m

In case of Ryan:

slope =speed = 47.5-35=6-4 = 12.5/2 =6.25

y-35=6.25(x-4)

y-35=6.25x-25

y=6.25x+10

d=6.25t+10

at t = 0, d= 10m

RYAN had a head start of 10 m

7 0

3 years ago

The velocity of a particle moving along a line is given by v(t) = e ^ t * sin(e ^ t) the interval 0<= t<= pi 2 . What is t

Butoxors [25]

Answer:

0.44237 units

Step-by-step explanation:

Given

$v(t) = e^t*sin(e^t)$

$0 \le t \le \frac{\pi}{2}$

Required

The distance traveled in this interval

We have:

$v(t) = e^t*sin(e^t)$

The distance is calculated as:

$d(t) = \int\limits^a_b {v(t)} \, dt$

So, we have:

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt$

Let:

$u = e^t$

Differentiate

$\frac{du}{dt} = e^t$

So:

$dt = e^{-t} du$

So, we have:

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt$

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(u)} \, e^{-t} du$

Rewrite as:

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t* e^{-t}*sin(u)} \, du$

$d(t) = \int\limits^{\frac{\pi}{2}}_0 {sin(u)} \, du$

Integrate:

$d(t) = -\cos(u)|\limits^{\frac{\pi}{2}}_0$

Substitute $u = e^t$

$d(t) = -\cos(e^t)|\limits^{\frac{\pi}{2}}_0$

Split

$d(t) = -\cos(e^\frac{\pi}{2}) - [-\cos(e^0)]$

$d(t) = -\cos(e^\frac{\pi}{2}) +\cos(e^0)$

$d(t) = -0.09793 + 0.5403$

$d(t) = 0.44237$

The distance traveled in this interval is: 0.44237 units

dt =

d(t) = \int\limits^2_0 {e^t*sin(e^t)} \, dt

4 0

3 years ago

PLEASE HELP WILL MARK BRAIN LEST IF RIGHT 5 STAR RATING AND A THANKS ON YOUR PAGE

artcher [175]

1. Postive Linear Correlation , so A.

2.C, 4 because of rise/run

3. 5 is da intitial [email protected]

3 0

4 years ago

Divide. and simplify 4/7÷8/3

Xelga [282]

(4/7)/(8/3)=(4/7)*(3/8)=3/14

5 0

3 years ago