Ask question

Ask question

All categories

2 years ago

13

Which of the following are solutions to the graph?

1 answer:

Maru [420]2 years ago

3 0

Answer:

im too late

Step-by-step explanation:

You might be interested in

A trough has ends shaped like isosceles triangles, with width 5 m and height 7 m, and the trough is 12 m long. Water is being pu

Svet_ta [14]

Answer:

$\dfrac{dh}{dt}=21 \text{m/min}$

the rate of change of height when the water is 1 meter deep is 21 m/min

Step-by-step explanation:

First we need to find the volume of the trough given its dimensions and shape: (it has a prism shape so we can directly use that formula OR we can multiply the area of its triangular face with the length of the trough)

$V = \dfrac{1}{2}(bh)\times L$

here L is a constant since that won't change as the water is being filled in the trough, however 'b' and 'h' will be changing. The equation has two independent variables and we need to convert this equation so it is only dependent on 'h' (the height of the water).

As its an isosceles triangle we can find a relationship between b and h. the ratio between the b and h will be always be the same:

$\dfrac{b}{h} = \dfrac{5}{7}$

$b=\dfrac{5}{7}h$ this can be substituted back in the volume equation

$V = \dfrac{5}{14}h^2L$

the rate of the water flowing in is:

$\dfrac{dV}{dt} = 6$

The question is asking for the rate of change of height (m/min) hence that can be denoted as: $\frac{dh}{dt}$

Using the chainrule:

$\dfrac{dh}{dt}=\dfrac{dh}{dV}\times \dfrac{dV}{dt}$

the only thing missing in this equation is dh/dV which can be easily obtained by differentiating the volume equation with respect to h

$V = \dfrac{5}{14}h^2L$

$\dfrac{dV}{dh} = \dfrac{5}{7}hL$

reciprocating

$\dfrac{dh}{dV} = \dfrac{7}{5hL}$

plugging everything in the chain rule equation:

$\dfrac{dh}{dt}=\dfrac{dh}{dV}\times \dfrac{dV}{dt}$

$\dfrac{dh}{dt}=\dfrac{7}{5hL}\times 6$

$\dfrac{dh}{dt}=\dfrac{42}{5hL}$

L = 12, and h = 1 (when the water is 1m deep)

$\dfrac{dh}{dt}=\dfrac{42}{5(1)(12)}$

$\dfrac{dh}{dt}=21 \text{m/min}$

the rate of change of height when the water is 1 meter deep is 21 m/min

6 0

3 years ago

Read 2 more answers

This graph shows the altitude of an airplane over time. Which story matches the graph?

Oksi-84 [34.3K]

Answer:

A.) The aircraft rose quickly into the air at takeoff, and then continued at a constant altitude.:)

6 0

3 years ago

Read 2 more answers

How many ways can first, second, and third place be awarded in a race of 20 people?

Volgvan

That would be 20 x 19 x 18 which equals 6840.
After first place is chosen, 19 spots left and so on.
The answer is 6840 ways.

3 0

2 years ago

Im to lazy for math can u help me please?

riadik2000 [5.3K]

Answer:

he spent $68 without the fees and $32 on fees

Step-by-step explanation:

8 0

2 years ago

I need help with this question

Temka [501]

Answer:

It would be b I think

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers