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3 years ago

Work varies directly with the

Mathematics

1 answer:

irinina [24]3 years ago

6 0

Answer:

yes

Step-by-step explanation:

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What's the best quote your heard of?

Mars2501 [29]

Step-by-step explanation:

꧁§༺⚔A real friend is one who walks in when the rest of the world walks out.” ⚔༻§꧂

8 0

3 years ago

Which relationship is always true for the angles RXY and Z or the triangle ABC

aksik [14]

Answer:

the answer is

x + y + z = 180 degrees

proof

the sum of all angles in the triangles is always equal to 180 degrees

Step-by-step explanation:

8 0

3 years ago

Suppose that there are nine students in a discrete mathematics class at a small college. a) Show that the class must have at lea

schepotkina [342]

Answer:

a)There are genders,males and females,so at least(9/2=5) representatives of each gender.

b) If the less than 3 male students then there are more than 6 female students and if the class has less than seven female students than there are more than 2 male students.

8 0

4 years ago

Suppose water is added to a tank at 10 gal / min , but leakes out at the rate of 0.2 gal / min for each gallon in the tank . Wha

Nana76 [90]

Answer:

50 gallon

Step-by-step explanation:

We are given that

$\frac{dV_{in}}{dt}=10 gal/min$

Let V(in gallon) be the present volume of tank.

$\frac{dV_{out}}{dt}=0.2 V gal/min$

We have to find the smallest capacity the tank can have if the process is to continue indefinitely.

According to question

$\frac{dV}{dt}$ =Incoming volume-outgoing volume

$\frac{dV}{dt}=10-0.2 V=-(\frac{1}{5}V-10)=-(\frac{V-50}{5})$

$\frac{5dV}{V-50}=-dt$

Integrating on both sides

$\int \frac{5dV}{V-50}=-\int dt$

$5ln(V-50)=-t+ln C$

By using the formula

$\int \frac{dx}{x}=ln x+C$

$ln(V-50)=\frac{1}{5}(-t+ln C)$

$ln(V-50)=-\frac{1}{5}t+\frac{1}{5} ln C$

$ln(V-50)=-\frac{1}{5} t+lnC^{\frac{1}{5}}$

$ln(V-50)=-\frac{1}{5}t+ln C'$

Where $ln C'=ln C^{\frac{1}{5}}$

$ln(V-50)-ln C'=-\frac{1}{5} t$

$ln\frac{V-50}{C'}=-\frac{1}{5}$

Using the formula

$ln m-ln n=ln\frac{m}{n}$

$\frac{V-50}{C'}=e^{-\frac{1}{5}t}$

$V-50=C'e^{-\frac{1}{5}t}$

Substitute $t=\infty$

$V-50=0$

$V=50$

Hence, the smallest capacity the tank can have if the process is to continue indefinitely=50 gallon

7 0

3 years ago

Given a slope of 1/2 and a y-intercept of -4. What is the equation of the line in slope intercept form?

Natali5045456 [20]

Answer:y=\frac{1}{2} x-4

Step-by-step explanation:

Slope intercept form of the equation of a line is y = mx+b where m is the slope and b is the y intercept. Plugging in 1/2 for m and -4 for b gives y = 1/2x + (-4) then simplifying adding a negative means subtracting.

3 0

4 years ago