What is the value of this expression? 5/6

Can someone break this donw for me?? please

alekssr [168]

Answer:

y = 4x

Step-by-step explanation:

We need to look at where the line's dots are to find the slope. Between each dot the line goes 1 to the right and 4 up. Remember the saying rise over run to know that the slop is 4/1. 4/1 is just 4 so in the equation we put that next to x.

The next part of making an equation is the y-intercept, or where it crosses the y-axis. Since this hits the y-axis at 0 the complete equation will be

y = 4x + 0

but obviously we don't need to add 0 so the answer is

y = 4x

5 0

3 years ago

Read 2 more answers

A tank contains 3,000 L of brine with 15 kg of dissolved salt. Pure water enters the tank at a rate of 30 L/min. The solution is

Shalnov [3]

Answer:

Step-by-step explanation:

Volume of tank is 3000L.

Mass of salt is 15kg

Input rate of water is 30L/min

dV/dt=30L/min

Let y(t) be the amount of salt at any time

Then,

dy/dt = input rate - output rate.

The input rate is zero since only water is added and not salt solution

Now, output rate.

Concentrate on of the salt in the tank at any time (t) is given as

Since it holds initially holds 3000L of brine then the mass to volume rate is y(t)/3000

dy/dt= dV/dt × dM/dV

dy/dt=30×y/3000

dy/dt=y/100

Applying variable separation to solve the ODE

1/y dy=0.01dt

Integrate both side

∫ 1/y dy = ∫ 0.01dt

In(y)= 0.01t + A, .A is constant

Take exponential of both side

y=exp(0.01t+A)

y=exp(0.01t)exp(A)

exp(A) is another constant let say C

y(t)=Cexp(0.01t)

The initial condition given

At t=0 y=15kg

15=Cexp(0)

Therefore, C=15

Then, the solution becomes

y(t) = 15exp(0.01t)

At any time that is the mass.

5 0

3 years ago

Compare the line passing through the points (−3, −11) and (6, 4) to the line given by the equation y=35x−6.

Aleks04 [339]

Let
A------> (−3, −11)
B------> (6, 4)

step 1
find the slope m point A and point B
m=(y2-y1)/(x2-x1)-----> m=(4+11)/(6+3)----> m=15/9---> 5/3

step 2
with m=5/3 and point B (6, 4) find the equation of a line
y-y1=m*(x-x1)-----> y-4=(5/3)*(x-6)---> y=(5/3)x-6

case a. they have the same slope------> is not correct
because
y=35x−6------> the slope m=35
y=(5/3)x-6---> the slope m =5/3

case b. they have the same x-intercept.----> is not correct
because
the x-intercept is for y=0

y=35x−6-----> 0=35x-6----> 35x=6-----> x=6/35
the x-intercept is the point (6/35,0)

y=(5/3)x-6----> 0=(5/3)x-6----> (5/3)x=6---> x=18/5
the x-intercept is the point (18/5,0)

case c. the two lines are perpendicular. do. they have the same y-intercept-----> is nor correct
because

if two lines are perpendicular
m1*m2=-1-------> this condition is not satisfied

the y intercept is for x=0

y=35x−6-------> y=-6
the y intercept is the point (0,-6)

y=(5/3)x-6-----> y=-6
the y intercept is the point (0,-6)

they have the same y-intercept but the two lines are not perpendicular

see the attached figure

7 0

3 years ago

Enter the numerator and the denominator of the fraction in simplest form that is equal to 0.7 repeating

valentinak56 [21]

Answer:

$\frac{7}{9\\}$

Step-by-step explanation:

8 0

1 year ago

Find the value of X.

-Dominant- [34]

To find the value of x we first need to find the missing angle in the triangle.

To do that we are gonna add the angles we already have.

64 + 45 = 109

Angles in a triangle measures 180 so to get the missing angle we are gonna subtract 109 from 180

180 - 109 = 71 deg

The missing angle in the triangle is 71 deg

Angles on a straight line adds up to 10 so to find x we are gonna subtract 71 from 180

180 - 71 = 109 degrees

Therefore x is 109 degrees.

6 0

3 years ago

What is the value of this expression? 5/6 - (1/8•3/4)