Answer:
The answer is "[tex]y=\frac{c}{1+a}[/tex]".
Step-by-step explanation:
Given:
[tex]\bold{y=\frac{c}{1+ae^{-rx}}}[/tex]
For the y-intercept, the value x is =0
[tex]y=\frac{c}{1+ae^{-r \times 0}}[/tex]
[tex]y=\frac{c}{1+ae^{0}}[/tex]
[tex]\therefore e^0 = 1[/tex]
[tex]y=\frac{c}{1+a\times 1}}[/tex]
[tex]\boxed{y=\frac{c}{1+a}}[/tex]
On a final exam, each multiple-choice question is worth 4 points and each word problem is worth 8 points. Lorenzo needs at least 50 points on the final to earn a "B" in the class. Which inequality represents x, the number of correct multiple-choice questions, and y, the number of correct word problems, he needs to earn a "B"? 4x + 8y 50 4x + 8y ≥ 50
Answer:
4x + 8y ≥ 50
Step-by-step explanation:
Lorenzo must score at least 50 points to earn a B. He cannot score any less, therefore you use the greater than or equal to sign (≥).
Answer:
4x+8y>=50 is the required inequality.
Step-by-step explanation:
Here,
4 marks (multiple choice) and 8 marks (word problem) are the marks of each questions in the exam.
also x and y represents the number of correct and wrong answer respectively.
according to the question the person must have The points equal to or more than 50 points so, the inequality must be 4x+8y>=50.
so, theanswer is 4x+8y>=50.
hope it helps...
Construct a quadrilateral ABCD in which AB = 4 cm, BC = 7 cm, angle A = angle C = 105 degree
and angle D = 60°
Answer: see attachment
Step-by-step explanation:
Since A = C = 105° and D = 60°,
then A + B + C + D = 360°
105° + B + 105° + 60° = 260°
B + 270° = 360°
B = 90°
Find the directional derivative of the function at the given point in the direction of the vector v. f(x, y, z) = xey + yez + zex, (0, 0, 0), v = 4, 3, −1
Answer: 6 / √26
Step-by-step explanation:
Given that f(x, y, z) = xe^y + ye^z + ze^x
so first we compute the gradient vector at (0, 0, 0)
Δf ( x, y, z ) = [ e^y + ze^x, xe^y + e^z, ye^z + e^x ]
Δf ( 0, 0, 0 ) = [ e⁰ + 0(e)⁰, 0(e)⁰ + e⁰, 0(e)⁰ + e⁰ ] = [ 1+0 , 0+1, 0+1 ] = [ 1, 1, 1 ]
Now we were also given that V = < 4, 3, -1 >
so ║v║ = √ ( 4² + 3² + (-1)² )
║v║ = √ ( 16 + 9 + 1 )
║v║ = √ 26
It must be noted that "v" is not a unit vector but since ║v║ = √ 26, the unit vector in the direction of "V" is ⊆ = ( V / ║v║)
so
⊆ = ( V / ║v║) = [ 4/√26, 3/√26, -1/√26 ]
therefore by equation D⊆f ( x, y, z ) = Δf ( x, y, z ) × ⊆
D⊆f ( x, y, z ) = Δf ( 0, 0, 0 ) × ⊆ = [ 1, 1, 1 ] × [ 4/√26, 3/√26, -1/√26 ]
= ( 1×4 + 1×3 -1×1 ) / √26
= (4 + 3 - 1) / √26
= 6 / √26
A tank contains 80 kg of salt and 1000 L of water. A solution of a concentration 0.04 kg of salt per liter enters a tank at the rate 8 L/min. The solution is mixed and drains from the tank at the same rate. Let y be the number of kg of salt in the tank after t minutes. Write the differential equation for this situation
Let A(t) denote the amount of salt (in kg) in the tank at time t.
At the start, there are 80 kg of salt in the tank, so A(0) = 80.
Solution flows into the tank at a rate of 8 L/min at a concentration of 0.04 kg/L, so that salt flows in at a rate of
(8 L/min) * (0.04 kg/L) = 0.32 kg/min
Solution flows out at the same rate, but its concentration depends on the amount of salt in the tank. The concentration of the solution is the proportion of salt in the liquid to the total volume of the liquid. Solution flows in and out at 8 L/min, so the volume of liquid (1000 L) stays the same. A(t) is the amount of salt in the tank, so the concentration is A(t)/1000 kg/L. Hence salt flows out at a rate of
(8 L/min) * (A(t)/1000 kg/L) = 0.008 A(t) kg/min
The net rate at which salt flows through the system is then given by the differential equation,
dA(t)/dt = 0.32 - 0.008 A(t)
(Don't forget to include the initial condition)
Yesterday at 1:00 P.M., Maria’s train was 42 miles north of Gull’s Beach, traveling north at an average speed of 90 mph. At the same time on the adjacent track, Elena’s train was 6 miles north of Gull’s Beach, traveling north at an average speed of 101 mph. To the nearest hundredth of an hour, after how much time will the trains meet up? 0.23 hours 0.31 hours 3.27 hours 4.36 hours
Answer:b
Step-by-step explanation:
Answer:
3.27 hours
Step-by-step explanation:
Calculate the difference in speed and distance between the trains.
The relative speed:
101 - 90 = 11 mph
Difference in distance:
42 - 6 = 36 miles
[tex]time=\frac{distance}{speed}[/tex]
[tex]t=\frac{36}{11}[/tex]
[tex]t = 3.27[/tex]
A circular chicken house has an area of 40m². What length of chicken wire is required to fence the house without any wire left over?
The sum of three consecutive even integers is 90. Find the Integers.
Answer:
28, 30, 32
Step-by-step explanation:
Their average will be 90/3 = 30. That is the middle integer.
The three integers are 28, 30, 32.
_____
Comment on the working
It often works well to use the average value when working consecutive integer problems. The average of an odd number of consecutive integers is the middle one. The average of an even number of consecutive integers is halfway between the middle two.
Someone please explain this!!!!
Answer:
23) x ≥ -140.
24) k > -9.
25) v ≥ 9.
26) m > 16.
Step-by-step explanation:
23) -14 ≤ [tex]\frac{x}{10}[/tex]
[tex]\frac{x}{10}[/tex] ≥ -14
x ≥ -140
Since it is a ≥ sign, you will put a shaded circle at -140, and the line will stretch infinitely to the right of the circle.
24) -20 < k - 11
k - 11 > -20
k > -9
Since it is a > sign, you will put a non-shaded circle at -9, and the line will stretch infinitely to the right of the circle.
25) -6v ≤ 54
6v ≥ 54
v ≥ 9
Since it is a ≥ sign, you will put a shaded circle at 9, and the line will stretch infinitely to the right of the circle.
26) 8 < [tex]\frac{m}{2}[/tex]
[tex]\frac{m}{2}[/tex] > 8
m > 16
Since it is a > sign, you will put a non-shaded circle at 16, and the line will stretch infinitely to the right of the circle.
Hope this helps!There are two pennies lying flat on a table. One of the pennies is fixed to the table, while the other one is being rolled around the fixed one staying tangent to it all the way. How many spins will it make by the time it returns to the starting point ?
Answer:
well if you want my answer even though it could not be right so dont get mad at me if i am wrong but i think that it is all mostly based on how far they are from each other the further it is the more it will roll the closer it is the less it it will roll
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
rolling it shows its circumference and the other pennine has the ame circumference
The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. What is the probability that a flight is between 125 and 140 minutes
Answer: 0.5
Step-by-step explanation:
If the probability of the time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. Therefore, the probability that a flight is between 125 and 140 minutes is 0.5
Yesterday at 1:00 P.M., Maria’s train was 42 miles north of Gull’s Beach, traveling north at an average speed of 90 mph. At the same time on the adjacent track, Elena’s train was 6 miles north of Gull’s Beach, traveling north at an average speed of 101 mph. To the nearest hundredth of an hour, after how much time will the trains meet up? 0.23 hours 0.31 hours 3.27 hours 4.36 hours
Answer:
3.27 hours
Step-by-step explanation:
Calculate the difference in speed and distance between the trains.
The relative speed:
101 - 90 = 11 mph
Difference in distance:
42 - 6 = 36 miles
[tex]time=\frac{distance}{speed}[/tex]
[tex]t=\frac{36}{11}[/tex]
[tex]t = 3.27[/tex]
Answer:
yeah she is correct
Step-by-step explanation:
Find the coordinate vector [Bold x ]Subscript Upper B of x relative to the given basis BequalsStartSet Bold b 1 comma Bold b 2 comma Bold b 3 EndSet.
Answer:
3
Step-by-step explanation:
3
3x to the 2nd power +4y to the 2nd power x=2 y=1 z=-3
Answer:
Step-by-step explanation:
3(2)^2 + 4(1)^2
3(4) + 4
12+4= 16
Answer:
[tex]\huge\boxed{16}[/tex]
Step-by-step explanation:
[tex]3x^2+4y^2\ \text{for}\ x=2;\ y=1.\\\\\text{Substitute:}\\\\3(2)^2+4(1)^2=3(4)+4(1)=12+4=16\\\\\text{Used PEMDAS}[/tex]
(3/4) URGENT!! PLEASE HELP! -50 POINTS- WILL MARK BRAINLEST ASAP AND 5 STARS IF CORRECT!!! please no wrong answers for the points.
Answer:
D
Step-by-step explanation:
The graph above is your graph.
As x increase, y decreases
As x decrease, y increases.
However, there is a small portion of the graph where both x and y were positive.
But I'm guessing it should be D.
Answer:
D
Step-by-step explanation:
[tex]f(x)=-x^3+2x^2-x+3[/tex]
As the highest power is 3, it is odd, as [tex]x[/tex] approaches to [tex]-\infty[/tex] [tex]y[/tex] approaches to [tex]\infty[/tex]
First, we have [tex]x \rightarrow-\infty[/tex], [tex]y \rightarrow \infty[/tex]
Plotting the graph, you can easily conclude the answer to the question.
And as [tex]x \rightarrow \infty[/tex], [tex]y \rightarrow -\infty[/tex]
Enter the correct answer in the box. Write your answer in the form at + bm = c.
Answer:
t + m ≤ 11
Step-by-step explanation:
The total weight will be the sum of the weights of the bags present. The weight of t bags of topsoil will be 30t; the weight of m bags of mulch will be 30m. We want the total weight to be at most 330. (Weight numbers are in pounds.)
30t +30m ≤ 330
We can remove a factor of 30 to simplify this to ...
t + m ≤ 11
_____
You may be expected to use the un-simplified form of the inequality.
Find the value of n such that 540n is perfect cube.
Answer:
1.35
Step-by-step explanation:
next cube above 540 is 729
to get to 729: 729 / 540 = 1.35
n = 1.35
2. Look at the figure below.
Which angle is congruent to 26?
Answer:
<4 is congruent to angle <6
Step-by-step explanation:
Assuming the lines are parallel
<2 , <4 , <6 , <8 are all equal
Congruent means they are equal.
There are 3 angles that are the same as angle 6, they are 2, 4, 8
The answer would be B. angle 4
If f(x) = 2x + 6 and g(x) = x^3 ,what is (gºf)(0)?
Answer:
[tex](gof)(0)=216[/tex]
Step-by-step explanation:
If [tex]f(x)=2\,x+6[/tex], and [tex]g(x)=x^3[/tex]
then [tex](gof)(0)[/tex] can be calculated via:
[tex]g(f(0))=g(2\,(0)+6)=g(6)=(6)^3=216[/tex]
A 4 foot wide painting should be centered on a 10 foot wide wall. How many feet (x) should be on each side of the painting?
Answer:
3 feet
Step-by-step explanation:
To find x, we can write the following equation:
x + 4 + x = 10
2x + 4 = 10
2x = 6
x = 3 feet
Need help with finding the kg
Answer:
3 kg
Step-by-step explanation:
Inverse relation:
y = k/x
In this case, the acceleration is inversely proportional to the mass, so using a for acceleration and m for mass, we have:
a = k/m
We need to find the value of k.
We use the given information to find k.
a = 9 m/s^2 when m = 5 kg
a = k/m
9 = k/5
k = 9 * 5 = 45
Now we can complete our equation:
a = 45/m
For a = 15 m/s^2, m = ?
15 = 45/m
15m = 45
m = 45/15
m = 3
Answer: 3 kg
* *4.8.21
Question Help
After the release of radioactive material into the atmosphere from a nuclear power plant in a country in 1982, the hay in that country was contaminated by a radioactive
isotope (half-life 5 days). If it is safe to feed the hay to cows when 9% of the radioactive isotope remains, how long did the farmers need to wait to use this hay?
The farmers needed to wait approximately
(Round to one decimal place as needed.)
days for it to be safe to feed the hay to the cows.
Vo
1.
(1,1)
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Enter your answer in the answer box and then click Check Answer.
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O
8
a
Answer:
17.5 days
Step-by-step explanation:
The half life of this element is five days.
For the first five days it will decrease to 100*0.5=50%.
For the second five days it will decrease to 50*0.5= 25%
For the third five days it will decrease to 25*0.5 = 12.25%
It means in each day in the five days it reduce 0.1 of the it's remaining amount.
12.5 - 9 = 3.5 %
0.5 of 12.5 = 6.25%
It's going to be 15 days + 2.5 days= 17.5 days
INTEGERS YES OR NO 74 3.49 - 4/7 (the - is suupose to be inbetween both numbers, not just the 4 is negative) -148.29 - 8/1
Answer:
The integers are the numbers such that:
- The distance between consecutive integers is always of 1 unit and the integer numbers only have zeros after the decimal point, such that the set is: Z = {..., 0, 1, 2, 3, 4, ......}
74) No digits after the decimal point, so this is an integer.
3.49) we have digits after the decimal point, so this is not an integer.
4/7) 4 is smaller than 7, so 4/7 is smaller than one and larger than zero,
one and zero are consecutive integer numbers, so 4/7 can not be an integer number.
You also can solve the division and find that the quotient has digits after the decimal point.
148.29) This number has digits after the decimal point, so this is not an integer number.
8/1) here we have 8 divided by one, we know that:
8/1 = 8
8 has no digits after the decimal point, so this is an integer.
How do I find the length of AB
Also can I get explained on how to do it!!
ASAP
Answers
A-211.63
B-9.35
C-207
D-44.98
Answer:
Hello, there!!!
The answer is option D.
but you can also write 45 by rounding off, alright.
Hope it helps...
hello
now we know that this is a vertical triangle.
if C = 90° and B = 12°
90+12 = 102 180-102=78.
so A = 78°
now look at the A. A is looking to the CB.
so we can set up an equal.
A is 44
and
B is ?
if 78 is 44
12 is x 12×44÷78= 6.7692..
right now
AC = 6.7692
BC is = 44
this is a vertical triangle thats why the verticals angle's lookings (AB) square, should be the others lookings squares sum.
6.7692^2 = 45.2875..
44^2 = 1936
1936+45.2875= 1981.2875
now im taking 1981.2875 into the square root to find AB.
✓1981.2875 = 44.5
there were many numbers after the 1981 thats why it will probably 44.9
good luckk
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 22 days and a standard deviation of 6 days. 72% of all of these types of trials are completed within how many days
Answer:
25.5 days
Step-by-step explanation:
Mean number of days (μ) = 22 days
Standard deviation (σ) = 6 days
Z-score for the 72nd percentile (according to tabulated values) = 0.583
The z-score for any number of days, X, is determined by:
[tex]z=\frac{X-\mu}{\sigma}[/tex]
The value of X that is greater than 72% of the trial times is:
[tex]0.583=\frac{X-22}{6}\\ X=25.5\ days[/tex]
Therefore, 72% of all of these types of trials are completed within 25.5 days.
g The weight of a certain type of apple is normally distributed with a mean of 10.56 ounces and standard deviation of 0.9 ounces. What is the first quartile, Q subscript 1, of the weight of this type of apple?
Answer:
First Quartile Q1 = 9.9525
Step-by-step explanation:
For a standard normal distribution,
First quartile Q1 = μ - 0.675 σ
From the question mean μ = 10.56
Standard deviation σ = 0.9
Plugging these values into the first quartile equation, we have;
Q1 = 10.56 -0.675(0.9)
Q1 = 10.56 - 0.6075
Q1 = 9.9525
which numbers are the extremes of the proption shown below. 3/4 = 6/8
Answer:
3 and 8
Step-by-step explanation:
Given the proportion:
[tex] \frac{3}{4} = \frac{6}{8}[/tex]
Required:
Find the extreme values.
When given an equation like the one we have here, there is always a very easy way to find the extreme value.
First make rewrite to a ratio form:
Example:
a:b = c:d
Just know that extreme values are the values on the outside of the ratio(a & d)
Therefore,
3:4 = 6:8
When it is written this way extreme values are 3 & 8
Extreme values = 3 and 8
The surface area of a given cone is 1,885.7143 square inches. What is the slang height?
This question is not complete. This is because it lacks the appropriate diagram containing necessary information to solve this question.
Please find attached the appropriate diagram to solve for this question
Complete Question :
The surface area of a given cone is 1,885.7143 square inches. What is the slant height?
Answer:
25 inches
Step-by-step explanation:
In the diagram, we are given the following information
Height of the cone = 20 inches
Radius of the cone = 15 inches.
The formula for the slant height of a cone represented by l =
l² = r² + h²
l = √(r² + h²)
l = √(15² + 20²)
l = √(225 + 400)
l = √625
l = 25 inches
Therefore, the slant height of this cone = 25 inches
Which of the following points is a solution of the inequality y <-Ixl
You did not give any options but i will try to answer.
y < -lxl basically means that the value of y is less than the absolute value of x time - 1.
So if x = 2, then y is any number less than -2.
And if x is -3. then y is any number less than -3.
Happy to help!
Betty has several of the standard six-sided dice that are common in many board games. If Betty rolls one of these dice, what is the probability that: She rolls a three. She rolls an odd number. She rolls a six or odd number.
Answer:
The probability of rolling a 3 is 1/6 because there's only one 3 out of the 6 options that are on a standard die.
The probability of rolling an odd number is 3/6 or 1/2 because 3 out of the 6 numbers on a standard die (1, 3, 5) are odd.
The probability of rolling a six or odd number is 4/6 or 2/3 because out of the 6 numbers on a standard die, there's one 6 and 3 odd numbers and 1 + 3 = 4.
A housepainter mixed 3 1/2 pints of blue paint in a bucket with 1 1/6 pints of white paint. How much paint was in the bucket? The answer should be written as a proper mixed number and should be simplified, if possible.
Answer:
4 2/3 :)
Step-by-step explanation:
The total paint in the bucket in the simplified mixed fraction is [tex]6\frac{2}{3}[/tex] pints.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A housepainter mixed [tex]3\frac{1}{2}[/tex] pints of blue paint in a bucket with [tex]1\frac{1}{6}[/tex] pints of white paint.
So, The total paint in the bucket is the sum of the pints of both paints which
is, = [tex](3\frac{1}{2} + 1\frac{1}{6})[/tex] pints.
[tex]= (\frac{7}{2} + \frac{7}{6})[/tex] pints.
[tex]= \frac{21 + 7}{6}[/tex] pints.
[tex]= \frac{28}{6}[/tex] pints.
[tex]= 6\frac{2}{3}[/tex] pints.
learn more about fractions here :
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