Someone please answer this question for me it’s my last one on my chapter test. It would be very appreciated
Answers
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.
Related Questions
15% of the students in school eat hot lunch. If 60
have hot lunch, how many students attend the
school
Answers
Answer:
400 students
Step-by-step explanation:
So 15 percent is 60 students
make an equation
0.15x=60
X stands for the total amount fo students and multiply that 0.15 becuase we know ti equals 60 and finding X will solve both problems
that’ll give you 400 students
if you check
400*0.15=60
So its correct
Which point lies on the graph of y=3/4x-2?
A. (-10, -10)
O B. (-8, 8)
C. (-6, 6)
D: (-4,-4)
Answers
Which real-world problem correctly involves dividing a decimal by a decimal?
a
Michael has 162.4 feet of wood to make birdhouses. If each birdhouse uses 2 feet of wood, how many birdhouses can he make? 81 birdhouses
b
Michael has 162 feet of wood to make birdhouses. If each birdhouse uses 2 feet of wood, how many birdhouses can he make? 81 birdhouses
c
Michael has 162 feet of wood to make birdhouses. If each birdhouse uses 1.4 feet of wood, how many birdhouses can he make? 115 birdhouses
d
Michael has 162.4 feet of wood to make birdhouses. If each birdhouse uses 1.4 feet of wood, how many birdhouses can he make? 116 birdhouses
Answers
Answer:
b
Step-by-step explanation:
plz help
On a game show, a contestant randomly chooses a chip from a bag that contains numbers and strikes. The theoretical probability of choosing a strike is 3/10. The bag contains 9 strikes. How many chips are in the bag?
Answers
Answer:
30
Step-by-step explanation:
If the probability of choosing a strike is 3/10, that means that from the total items available 3 out of 10 are strikes, now, if there are 9 strikes total, this is the equation representing such result:
(3/10)(totalChips) = 9
if we solve for totalChips we have:
3(totalChips) = 9*10 = 90
totalChips = 90/3 = 30
What is the equation for a line
Answers
Answer:
y = mx + b
Step-by-step explanation:
y represents the dependent variable (value you are getting).
m represents the slope of the line.
x represents the independent variable (what you are changing).
b represents the y-intercept, or the y value when x is zero.
You deposit $572.34 into a account that pays 4.5% interest.How much interest do you earn after 60 months
Plz show work
Answers
Step-by-step explanation:
assuming it's 4.5% a year
572.34/100= 5.72
5.72×4.5=25.74 (per year)
60/12=5(years)
5×25.74= 128.7
128.7+572.34=701.04
You earn 128.7 dollars in interest and have 701.04 dollars at the end of 6 months
Suppose there are 50 possible dancers. How many trios may be formed, assuming the order within a trio does not matter
Answers
Answer:
19600 trios may be formed.
Step-by-step explanation:
Since the order of the trios do not matter, we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Groups of three(Trios) from a set of 50. So
[tex]C_{50,3} = \frac{50!}{3!(50-3)!} = 19600[/tex]
19600 trios may be formed.
Help me out here on this question please.
Answers
Answer:
b
Step-by-step explanation:
Answer:
<
Step-by-step explanation:
because the 6 is in the hundreth place
The perimeter of a
rectangle is 18 cm. The
longer side is 6 cm. How
long is the shorter side?
Answers
Answer: 3
Step-by-step explanation:
Since 6 + 6 is 12 so 3 + 3 is 6 and 12 + 6 is 18 and you multiply each side by two
Answer:
i have made it above picture see it
HELPPPPPPP PLEASSEEE
Answers
Waiting overnight
You should never wait overnight before making a big purchase if there is only one item left. Teens have cited ʺfriendsʺ as the strongest influence over their purchase decisions.
Answer:
the first one
Step-by-step explanation:
because my mom shop and she do not NEVER go to sleep it will mess up your purachase
Chase is making a cake for his daughter's birthday. The normal recipe calls for 8 ounces of butter and 16 ounces of sugar. Chase then decides to make a slightly smaller cake and only use 6 ounces of butter. How many ounces of sugar will he need in his smaller cake? give your answer explain how you found it.
Answers
Find the equation of the line.
Use exact numbers.
100+
y
8+
7+
6+
9 8 7 6 5 4 3 2
2 3 4 5 6 7 8 9
-3
-4
-5
-6+
-7
-8
Answers
Answer:
The equation of the line is:
[tex]y = 3x+3[/tex]
The graph is also attached.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptFrom the straight line on the graph, taking two points
(0, 3)(-1, 0)Finding the slope between (0, 3) and (-1, 0)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [0 - 3] / [-1 - 0]
= -3 / -1
= 3
Thus, the slope of the line = m = 3
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 3
Thus, the y-intercept b = 3
Now, substituting slope m = 3 and y-intercept b = 3 in the slope-intercept form
y = mx+b
y = 3x+3
Therefore, the equation of the line is:
[tex]y = 3x+3[/tex]
The graph is also attached.
What is 900 divided by 30
Answers
Answer:
30
Step-by-step explanation:
The required, 900 divided by 30 is 30.
When dividing 900 by 30, we follow a similar process. We start by writing 900 as the dividend and 30 as the divisor. Then, we divide 9 (the first digit of 900) by 3 (the first digit of 30), resulting in a quotient of 3. We write this quotient above the line. Next, we multiply the divisor (30) by the quotient (3), giving us 90. Subtracting 90 from 900 leaves us with 810. We bring down the next digit (0), resulting in 8100. We divide 81 by 3, getting a quotient of 27.
Thus, 900 divided by 30
= 900/30 = 90/3
= 30
Therefore, 900 divided by 30 is 30.
Learn more about division here:
https://brainly.com/question/1575906
#SPJ6
9) Write an equation in point-slope form for the given point and slope:
Point: (-8, 3)
Slope: 6
Answers
Answer:
I believe its y=6x+51
Step-by-step explanation:
(_×4) + _ = 71
First slot: 1-8
Second slot: 1-8
Exponents: ², ³, ⁴
Answers
The graph at left in the tc-plane models the global wind power capacity, c, in gigawatts, t years since 1996. What is the best interpretation of the c-intercept of this graph?
The image shows an exponential curve graphed in the first quadrant of the 't c'-plane. The horizontal 't'-axis is labeled Years since 1996 and the vertical 'c'-axis is labeled Global wind power capacity (gigawatts). The graph crosses the 'c'-axis at about 7 and increases exponentially, passing roughly through the point (13 comma 150).
Answers
9514 1404 393
Answer:
c(0) = 7 means global wind power capacity was 7 GW in 1996
Step-by-step explanation:
The c-intercept is the global wind power capacity at t=0, which was in 1996. The scale is in gigawatts, so c=7 at t=0 means ...
global wind power capacity was 7 GW in 1996
Answer:
Its C: Sharply increased. edge 2021
Step-by-step explanation:
A printer prints 28 photos in 8 minutes. How many minutes does it take to print 21 more photos?
Answers
Answer:
For 49 photos it takes 14 minutes.
Step-by-step explanation:
28 photos take 8 minutes
(21 + 28) 49 photos take x minutes
x = (49 * 8)/28
x = 14
Because |a + bi| is equal to a distance,
|a + bi| will always be a _____
number.
Answers
Answer:
positive real
Step-by-step explanation:
Tom paid $0.60 per pound for tomatoes to sell at his produce store. He added a 33% markup. What price did he charge his customers for the tomatoes? Round to the nearest cent if needed.
Answers
Tom is charging $0.8 per pound to his customers.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
Given that,
Tom paid $0.60 per pound for tomatoes to sell at his produce store.
So,
Cost of tomatoes = $0.60/pound
Now,
33% of 0.60 ⇒
33 × 60 /100 = $0.198
So final price ⇒
0.60 + 0.198 = 0.798
By rounding the nearest tenth
⇒ $0.8/pound.
Hence "Tom is charging $0.8 per pound to his customers".
For more about the percentage,
brainly.com/question/13450942
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Solve the inequality - 2x + 1 > 2x - 11
Answers
Answer:
x<3
Step-by-step explanation:
Let us move all the x values to one side and the numerical values to the other:
1>2x+2x-11
1+11>2x+2x
12>4x
3>x or x<3
I hope this helps! :)
Answer:
Answer is B in edge for I 2x-1 l >2x-11
Step-by-step explanation:
just did assignment
What is the meaning of the term statistical inference? A/An ---Select--- about the value of a ---Select--- based on information from the corresponding ---Select--- and the associated
Answers
complete question:
What is the meaning of the term statistical inference?
What is the meaning of the term statistical inference?A/An ---Select--- assumption conclusion observation about the value of a ---Select--- population parameter sample statistic population statistic sample parameter based on information from the corresponding ---Select--- population statistic sample statistic population parameter sample parameter and the associated ---Select--- probability distributions assumptions observations inferences .
Answer:
1. conclusion
2. population parameter
3. sample statistic
4. probability distribution
Step-by-step explanation:
I have filled in the correct answers into the question as we have below. they are in bold letters
Statistical inference is a conclusion about the value of a population parameter based on information from the corresponding sample statistic and the associated probability distribution.
Statistical inference can be defined as the act of using data analysis to get the properties of an underlying probability distribution.
The area of the parallelogram below is ____ square meters. A parallelogram with height labeled with 8 meters. The top horizontal side is labeled 6 meters. The base of the left triangle formed by the height is 2 meters.
Answers
Answer: answer is 96
Step-by-step explanation: you have to multiply 8 6 and 2 together to get your answer
Answer:
96
Step-by-step explanation:
Karen screams at 13 employees for not putting enough cheese in her nachos, then she screams at 17 more employees for getting her drink wrong how many employees did Karen scream in total?
A. 30
B. 21
C. 45
Answers
Answer:
the answer is 30 employees that got scream
Answer:
30 employees
Step-by-step explanation:
17+13=30 so therefore she screamed at 30 employees
6(a+4)=72
Help please
Answers
Answer:
a = 8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6(a+4)=72
(6)(a)+(6)(4)=72(Distribute)
6a+24=72
Step 2: Subtract 24 from both sides.
6a+24−24=72−24
6a=48
Step 3: Divide both sides by 6.
6a
6
=
48
6
Answer:
a=8
Step-by-step explanation:
6(a+4)=72
(6)(a)+(6)(4)=72(Distribute)
6a+24=72
Step 2: Subtract 24 from both sides.
6a+24−24=72−24
6a=48
Step 3: Divide both sides by 6.
6a
6
=
48
6
6 + 2y = 8 so y = what
Answers
Answer:
y=1
Step-by-step explanation:
hope this helps
6+2y=8=y
We move all terms to the left:
6+2y-(8)=0
We add all the numbers together, and all the variables
2y-2=0
We move all terms containing y to the left, all other terms to the right
2y=2
y=2/2
y=1
Please help me with this math question
Answers
Answer:?
Step-by-step explanation: math mathematics.
Is a rectangle a parallelogram?
Answers
Answer:
yes
explanation:
a rectangle is a parallelogram because its pairs of opposite sides are parallel.
A triangle is shown on the right. What is the measure of the missing angle of the triangle? (Please leave a small explanation)
Answers
Answer:
it's answer is D. 33°
Step-by-step explanation:
Let the unknown angle be x Then.
x + 100° + 47° = 180° [ being sum of angles of triangle ]
x + 147° = 180°
x = 180° - 147°
x = 33°
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.
Please see the picture
Help
Answers
Answer:
286.97
Step-by-step explanation:
find the area of the rectangle first
14*15=210
Next
Find the area of a circle
πr^2=a
the radius of the circle is half the height of the rectangle
π*(7*7)=a
a=153.94
Now
Divide the area by two
153.94/2=76.97
Now add the two areas
76.97+210
Answer:
Area of the figure= area of the rectangle+ area of the semicircle
=(15×14)+(1/2)π(7)²=210+77=287 square unit
287 square unit is the right answer.
Remember:--- area of the rectangle
=(length×breadth)
and area of the semicircle=π(radius)²/2
Alan buys a book that is on sale.
He writes the expression 0.7b to show the percent of the original cost of the book, b, that he pays.
He rewrites the expression as b−0.3b.
Which statement explains why Alan rewrites the expression?
He receives another discount on the book.
He buys another book with a different discount.
He wants to show by what percent the book was discounted.
He wants to show what percent of the original price he paid.
Answers
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation: