Answer:
Step-by-step explanation:
P=2(L+W), we are given a side of 20 and a side of b
P=2(20+b)
P=40+2b
A) P(6)=40+12=52ft TRUE
B) P(8)=40+16=56ft TRUE
C) P(10)=40+20=60ft FALSE
D) P(12)=40+24=64ft FALSE
E) P(11)=40+22=62ft FALSE
So only A and B are true
Answer:
The equation is y = -5x + 55
Slope = -5
y-intercept = 55
Step-by-step explanation:
The given table shows the different coordinates of points on a straight line.
The general equation of a line is y = mx + b
where m is the slope and b is the y intercept.
Actually , here only 2 values are needed but there are 4 values given which is just to check whether our line is correct or not.
Substitute values of x and y in the equation.
Put (1,50),
50 = m + b ----------(1)
Put (2,45),
45 = 2m + b -----------(2)
Solve (1) and (2),
Slope , m = -5
y-intercept , b = 55
Hence , the equation is y = -5x + 55.
Answer:
33
Step-by-step explanation:
Answer:
it is already in the simplest form
Step-by-step explanation:
23 is prime
The amount of oxygen in the flask through the intake tube illustrates proportions
The flask 99.35% will contain of oxygen after 5L have passed through the intake tube
<h3>How to calculate the percentage of oxygen?</h3>
To do this, we make use of the following representations
- P for the proportion of oxygen
- V for te volume of oxygen
- x for the proportion of oxygen in the flask after 5 L passed through
So. we have the following derivative
dP = dV - P * dV
Divide through by dV
dP/dV = 1 - P
Next, we set up the integral

Integrate both sides

Expand
-ln(|x - 1|) + ln(|0.04 - 1|) = 5
Evaluate the difference
-ln(|x - 1|) + ln(|-0.96|) = 5
Express as a fraction
ln(0.96/|x - 1|) = 5
Express both sides as exponents with a base of 2
e^ln(0.96/|x - 1|) = e^5
Solve for x
x = 1 - 0.96/e^5
Evaluate the difference
x = 0.9935
Express as percentage
x = 99.35%
Hence, the flask 99.35% will contain of oxygen after 5L have passed through the intake tube
Read more about proportions at:
brainly.com/question/1781657