Someone please answer this question for me it’s my last one on my chapter test. It would be very appreciated
Answer:
We have the function:
[tex]P(t) = \frac{800 + 630*t}{20 + 0.09*t}[/tex]
a) The population of deer when t = 60 is equal to P(60)
We just need to replace t by 60 in the above equation:
[tex]P(60) = \frac{800 + 630*60}{20 + 0.09*60} = 1,519.7[/tex]
We can not have the 0.7 of a deer, so we could round this up to 1,520
So at t = 60, we would have around 1,520 deers.
b) The horizontal asymptote of P(t) = y is when the denominator of the function is equal to zero (this is when P(t) goes to infinity).
Then we need to find the value of t such that:
20 + 0.09*t = 0
20 = -0.09*t
20/-0.09 = t = -222.222...
The asymptote of P(t) is at t = -222.222...
Because in this case t is negative, the function will diverge to infinity and minus infinity.
c) We can ignore the asymptotes and only compute this for positive values of t.
To find the maximum, we first need to look at the zeros of the first derivative of P(t):
[tex]P'(t) = \frac{630}{20 + 0.09*t} - \frac{800 + 630*t}{(20 + 0.09*t)^2} *0.09 = 0[/tex]
[tex]\frac{800 + 630*t}{(20 + 0.09*t)^2} *0.09 = \frac{630}{20 + 0.09*t}[/tex]
[tex]\frac{800 + 630*t}{(20 + 0.09*t)^2} *0.09*(20 + 0.09*t) = 630[/tex]
[tex]\frac{800 + 630*t}{20 + 0.09*t} *0.09 = 630[/tex]
[tex](800 + 630*t) *0.09 = 630*(20 + 0.09*t)[/tex]
[tex]0.09*800 + 0.09*630*t = 630*20 + 630*0.09*t[/tex]
[tex]0.09*800 - 630*20 = 630*0.09*t - 0.09*630*t[/tex]
That last equation has no real solution, this means that we do not have a maximum. Then we will have a vertical asymptote
Then we can just look at the graph of the function (is below)
And you can see that we have a horizontal asymptote at y = 7000, then this will be the maximum number of deers.
i need help plz help me
6×8=48 and 12×4=48 so it is 48 though 48 is the same
Answer
The price of 6 slices of pizza and 4 drinks is $37. The price of 4 slices of pizza and 6 drinks is $33. How much does one drink cost?
Ginny wants to compare the miles per gallon of 2 different cars. The cars mileage can be described as below. Find the miles per gallon (rate of change) for each car and interpret the meaning in terms of the problem. Which car has a better gan mileage?
Car A. | car b |
|No. If gallons used | 4 | 9 | 15 | f(x) =22x |
Total mileage | 76 | 161 | 285
Answer:
Car A gets 19 miles per gallon while Car B gets ~17.8 miles per gallon. Car A gets better mileage.
Step-by-step explanation:
Please really need answer would greatly be appreciated and mark brainliest.
Answer:
8ft of ground is covered, 8ft of metal and about 2 feet wide, it can hold 10ft of water i think
Answer:
Step-by-step explanation:
8 feet
Please help me solve this fast
Answer:
1.
Clean machine slope: 3/2
Sudz slope: 3/2
This means they rise and run at the same rate.
2.
y intercept of clean machine: 2
y intercept of sudz: 4
this tells us that the cost for sudz is higher per pound.
3.
Clean machine because 4 pounds at sudz costs 10 dollars, while 5.5 pounds at clean machine costs 10 dollars. You get more for less at clean machine.
4.
a. plot these points
Brand A: (0,100) (1,150)
Brand B: (0,200) (1,225)
b. Brand B cuz 25 is lower than 50
What is the constant of proportionality for the relationship shown in the table? x 2 4 6 8 y 1 2 3 4
1/2
2
4
8
Answer:
[tex]k = \frac{1}{2}[/tex]
Step-by-step explanation:
Given
x 2 4 6 8
y 1 2 3 4
Required
Determine the constant of proportionality (k)
The relationship between x and y is:
[tex]y = kx[/tex]
When y = 1, x = 2;
So, we have:
[tex]1 = k * 2[/tex]
[tex]2 * k = 1[/tex]
Make k the subject
[tex]k = \frac{1}{2}[/tex]
Hence, the constant of proportionality is 1/2
What is the most specific name for the quadrilateral shown?
A) Parallelogram
G
B) Rhombus
C) Rectangle
D) Square
H
A store sells 20 bottles of detergent for every 5 bottles of fabric softener. Use the ratio table to find how many bottles of detergent will be sold when 12 bottles of softener are sold.
A.
4
B.
24
C.
48
D.
240
Answer:
D
Step-by-step explanation:
Just took the test :)
Please help!!!! :D 51 points of right! :3! :>
Answer:
r is wrong, t is wrong,
Step-by-step explanation:
dum gio
2. An 18-ft steel beam is to be cut into two pieces so that one piece is twice the length of the other. Find the length of each piece.
xy+(z-x) x=3 y=2 z=4
Answer:
7
Step-by-step explanation:
xy + (z-x)
x = 3
y = 2
z = 4
3×2 + (4-3)
6+1
= 7
In the figure, JKLM - EFGH Complete the following table
Note: 1) Figures not drawn to scale.
ii) Use slash to separate numerator and denominator, wherever needed.
Scale factor of JKLM to EFGH
Value of X
Value of Y
value of Z
Answer:
Step-by-step explanation:
Scale factor of JKLM to EFGH is 5/2.
Value of x = 27.5
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Given,
JKLM ~ EFGH
Scale factor = JK/EF = 20/8 = 5/2
So, KL/GF = 5/2
x/11 = 5/2
x = 55/2
x = 27.5
There is scale factor of 5/2 from JKLM to EFGH.
27.5 is value of x.
Learn more about scale factor here:
https://brainly.com/question/29464385
#SPJ2
Which correctly describes how the graph of the inequality 5x + 2y > 13 is shaded?
Answer:
We can't graph on this app but this is what I can give you.
Step-by-step explanation:
The 5+2 part automatically makes 7, obviously, meaning that x and y each would have to at least represent 2 for this equation to be true.
Percentage
What’s 12% from 18,000.00$
Answer:
2160%
Step-by-step explanation:
hope this helps :)
Answer:
2160
Step-by-step explanation:
10 = 1800
2 = 1800 divided by 5 = 360
1800 + 360 = 2160
Does the graph represent a function?
The height of an object dropped from a tower is 64 feet above the ground after t seconds can be modeled with the function h = 16x2 + 64. which description is true about the the possible domain values of this real world function
Answer:
144 ft
Step-by-step explanation:
solve for x x/3+5=5
x=
Answer:
x=15
Step-by-step explanation:
(I had this question on a test my teacher told me my answer)
lol hope it helps you and/or others :))
Need help with this question
Answer:
5 is not in the domain
Step-by-step explanation:
the domain is x ≤ 2
What is the equation of the line that contains the point (-4.-12) and has
the slope of 3?
Answer:
y = 3x
Step-by-step explanation:
⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄
Answer:
y=3x
Step-by-step explanation:
if you plug the point, and the equation into Desmos, you can see it´s right!
An author is having a book signing at a store. He agrees to give 5% of his profit to literacy programs and 15% of his profit to his manager. If he makes a profit of $200.00, how much of his profit does he take home?
Answer:
160
Step-by-step explanation:
15% + 5% = 20%
80%=0.8
200x0.8=160
Determine if the ratios are equivalent.
17:3 and 68:12
Answer:
They are equivalent
Step-by-step explanation:
We can do cross products for this one
17/3 = 68/12
17 times 12 = 68 times 3
204 = 204
Write an expression that it equivalent to 1/4x+1+3/4x-2/3-1/2x
Answer: =1/2x+1/3
Step-by-step explanation:
The equivalent expression is 1/2x+ 1/3.
What is Expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions. The other number is x, and a number is 6 more than half of it. In a mathematical expression, this statement is denoted by the expression x/2 + 6.
Given:
1/4x+1+3/4x-2/3-1/2x
Now, solving the above expression
1/4x+1+3/4x-2/3-1/2x
= 1/4x + 3/4x - 1/2x + 1 - 2/3
= 4/4x - 2/4x + 1/3
= 2/4x + 1/3
= 1/2x + 1/3
Hence, the equivalent expression is 1/2x+ 1/3.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
Terry has 15 candles. She needs at least 100 candles. The candles she wants are sold in boxes of 8. What is the least number of boxes of 8 candles that Terry needs to buy.
Answer:
Answer: 11
Step-by-step explanation:
1. 100-15=85
2. 85/8=10.625
3. 10.625 rounds up to 11
Element X is a radioactive isotope such that every 90 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 30 grams, how much of the element would remain after 12 years, to the nearest whole number?
Answer:
approximately 27 grams
Work Shown:
Half life formula
y = A*(0.5)^(x/H)
where,
A = starting amount = 30 grams
H = half life period = 90 years
x = number of years that pass by = 12
y = amount left over after x years
Let's plug the values for x, A and H into the formula to find y
y = A*(0.5)^(x/H)
y = 30*(0.5)^(12/90)
y = 27.3516746567466
y = 27 .... rounding to the nearest whole number
What is 10x9 and 9x10
Answer:
90 for both of them
Answer:
90
Step-by-step explanation:
1+1+1+1+1+1+1+1+1=9 then add a 0
IXL please help!...........
Answer:
12 cm
Step-by-step explanation:
20² = length² + 16²
length² = 400 - 256 = 144
length = 12
Check
20² - 16² = 12
Hopefully I'm right!!
A race car can complete 8 laps in 1/3 hour at this rate how many hours will it take the race car to complete 1 lap in fractions
Answer:
yes
Step-by-step explanation:
Answer:
6.66 minutes to complete one lap.
Step-by-step explanation:
.If you travel for 18 hours a distance of 7,794 miles, what was the speed that you traveled per hour
Answer:
433 mph
Step-by-step explanation:
Speed = Distance/Time = 7,794/18 = 433 mph
Whoever answers it first gets the title brainliest.
Answer:
2.24
Explanation:
2.5 - 2.4 / 1.2(0.13) = 2.24