Do the table and the equation represent the same function ? Y=390+11(x)

Katarina [22]

So hmm notice the first picture, that's the "inscribed angle theorem", as you'd know

now, notice angle 2 in yours on the second picture

8 0

3 years ago

Find the surface area of a rectangular prism with length 18 inches, width 6 inches, and height 4 inches.

Sever21 [200]

If its volume (Not so sure about surface area?) than its 432 inches^3

4 0

3 years ago

5. A tank initially contains 20 lb of salt dissolved in 200-gallon of water. Starting at time t = 0, a solution containing 0.5 l

sladkih [1.3K]

Answer:

(a) Amount of salt as a function of time

$A(t)=100-80e^{-0.02t}$

(b) The time at which the amount of salt in the tank reaches 50 lb is 23.5 minutes.

(c) The amount of salt when t approaches to +inf is 100 lb.

Step-by-step explanation:

The rate of change of the amount of salt can be written as

$\frac{dA}{dt} =rate\,in\,-\,rate\,out\\\\\frac{dA}{dt}=C_i*q_i-C_o*q_o=C_i*q_i-\frac{A(t)}{V}*q_o\\\\\frac{dA}{dt}=0.5*4-\frac{A(t)}{200}*4\\\\\frac{dA}{dt} =\frac{100-A(t)}{50}=-(\frac{A(t)-100}{50})$

Then we can rearrange and integrate

$\frac{dA}{dt}= -(\frac{A(t)-100}{50})\\\\\int \frac{dA}{A-100}=-\frac{1}{50} \int dt\\\\ln(A-100)=-\frac{t}{50}+C_0\\\\ A-100=Ce^{-0.02*t}\\\\\\A(0)=20 \rightarrow 20-100=Ce^0=C\\C=-80\\\\A=100-80e^{-0.02t}$

Then we have the model of A(t) like

$A(t)=100-80e^{-0.02t}$

(b) The time at which the amount of salt reaches 50 lb is

$A(t)=100-80e^{-0.02t}=50\\\\e^{-0.02t}=(50-100)/(-80)=0.625\\\\-0.02*t=ln(0.625)=-0.47\\\\t=(-0.47)/(-0.02)=23.5$

(c) When t approaches to +infinit, the term e^(-0.02t) approaches to zero, so the amount of salt in the solution approaches to 100 lb.

7 0

3 years ago

The question is down below in the picture.

bagirrra123 [75]

Answer:

ion kno lil bra

Step-by-step explanation:

4 0

4 years ago

Pedro's Diner is open six days a week. His income for the first five days this week was

AnnZ [28]

Pedro must make $330 on the 6th day to have a mean average of $200.

Step-by-step explanation:

Formula for Mean Average

Mean Average = $\frac{Sum of data}{Total number of data}$

DATA:

1st day = $120

2nd day = $110

3rd day = $200

4th day = $300

5th day = $140

6th day = x

Solution:

Mean Average = $\frac{Sum of data}{Total number of data}$

200 = $\frac{120+110+200+300+140+x}{6}$

200*6 = 870+x

1200 - 870 = x

x = 330

Pedro must make $330 on the 6th day to have a mean average of $200.

Keyword: Mean

Learn more about mean at

#LearnwithBrainly

6 0

3 years ago