All categories

3 years ago

Please help, due tonight.

Mathematics

1 answer:

VashaNatasha [74]3 years ago

4 0

A. slope intercept form is y=mx+b where m is your slope and b is your y-intercept. Since it gives you the slope (4) and the y-intercept (-9) all you have to do is plug it into the equation to get y=4x-9

b. This one is a little bit trickier but by no means impossible. the first thing we want to do is find the slope, and in order to do this we take the second y minus the first and divide it by the difference of the second x and the first x. the way that would look in this case is (10-6)/(4-0) and when we simplify this we get 4/4=1
Since our slope is 1, we just need to find the value of y when x=0, In this problem it is given to us with the point (0,6) if we plug both of this into our equation we get y=x+6 (the 1 in front of the x is optional

You might be interested in

PLS TRY TO ANSWER ASAP.

Harrizon [31]

Answer:

0.075 m/min

Explanation:

You need to use derivatives which is an advanced concept used in calculus.

1. Write the equation for the volume of the cone:

$V=\dfrac{1}{3}\pi r^2h$

2. Find the relation between the radius and the height:

r = diameter/2 = 5m/2 = 2.5m

h = 5.2m

h/r =5.2 / 2.5 = 2.08

3. Filling the tank:

Call y the height of water and x the horizontal distance from the axis of symmetry of the cone to the wall for the surface of water, when the cone is being filled.

The ratio x/y is the same r/h

x/y=r/h

y = x . h / r

The volume of water inside the cone is:

$V=\dfrac{1}{3}\pi x^2y$

$V=\dfrac{1}{3}\pi x^2(2.08)\cdot x\\\\\\V=\dfrac{2.08}{3}\pi x^3$

4. Find the derivative of the volume of water with respect to time:

$\dfrac{dV}{dt}=2.08\pi x^2\dfrac{dx}{dt}$

5. Find x² when the volume of water is 8π m³:

$V=\dfrac{2.08}{3}\pi x^3\\\\\\8\pi=\dfrac{2.08}{3}\pi x^3\\\\\\ 11.53846=x^3\\ \\ \\ x=2.25969\\ \\ \\ x^2=5.1062$ m²

6. Solve for dx/dt:

$1.2m^3/min=2.08\pi(5.1062m^2)\dfrac{dx}{dt}$

$\dfrac{dx}{dt}=0.03596m/min$

7. Find dh/dt:

From y/x = h/r = 2.08:

$y=2.08x\\\\\\\dfrac{dy}{dx}=2.08\dfrac{dx}{dt}\\\\\\\dfrac{dy}{dt}=2.08(0.035964m/min)=0.0748m/min\approx0.075m/min$

That is the rate at which the water level is rising when there is 8π m³ of water.

4 0

3 years ago

3 10 / 24 + 6 3 /6 =

artcher [175]

Well first we need to make our fractions have a common denominator. Since 24 is the higher one we will turn 6 into 24. In order to do that we have to multiply our top number and bottom number by 4. 4x6=24 and 3x4=12 therefore our new fraction is 12/24. Now add 6 and 3 which is 9. After adding 6 and 3 we add our fractions. Adding fractions is kind of odd because you only add the top numbers. So, we add 10 and 12 to get 22. Our final step is figuring out if we can simplify the fraction which in this care we can! So, in order to simplify this fraction we divide by 2 which will then make our fraction 11/12 which can not be simplified. So your final answer would be 9 and 11/12. Hope this helps! :)

6 0

3 years ago

I need help this is due tomorrow

goldfiish [28.3K]

Answer:

x z y is the awnser

Step-by-step explanation:

I'm doing this type of stuff

8 0

3 years ago

What is the value of one 1/2 Divided by 1/3

olga nikolaevna [1]

1/2(1/3)= 0.166667

Hope this helps!

7 0

3 years ago

Read 2 more answers

What does this equation mean? Y=mx+b Please help me

denpristay [2]

Answer:(when the equation is written as y=mx+b) the slope is the number m that is multiplied on the x, and the b is the y intercept that the point where the line crosses the vertical y-axis

Step-by-step explanation:y=mx+b

=(-3)x+(12)

y=-3x+12

4 0

3 years ago