A certain forest can support a population of 800 deer. There are currently 200 deer in the forest and their population is growing at a rate of 2% per year. Complete the sequence below that models this population growth.
It would take 70 years for the deer population to reach 800.
An exponential function is in the form:
y = abˣ
where b is the multiplier, y, x are variables and a is the initial value.
Let y represent the population and x represent the time in years.
a = 200, b = 100% + 2% = 102% = 1.02
y = 200(1.02)ˣ
For a population of 800:
800 = 200(1.02)ˣ
ln(4) = xln(1.02)
x = 70 years
It would take 70 years for the deer population to reach 800.
Find out more on exponential function at: brainly.com/question/2456547
Answer: 200, 0.02, and 800
Step-by-step explanation:
PLEASE HELP ASAP
PLZPLZPLZ
How many 3/5 s are in 5?
Answer:
none , its 2 2/5
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
it will be 3 because 4 3/5`s is 2 and 2/5 and 3 3/5`s is 1 and 4/5 hope that helped your question.
Given that
P
=
x
+
y
.
Find
P
when:
x
=
3
and
y
=
−
11
Answer:
P=14
Step-by-step explanation:
Since P depends on two variables x and y as the sum of the two, then;
P = 3+ 11
P = 14
I need help understanding this
Step-by-step explanation:
I am sorry but I cannot see your question
Ben currently has $70 in his trip fund. He makes $45 per week doing yard work for his neighbors. He keeps $18 of the $45 for weekly expenses. The remaining amount goes into his trip fund. Which function can be used to determine the amount of money (y), in dollars, that Ben has in his trip fund at the end of xx weeks?
y=70+27x
Answer:
he starts with 70 and $45-18=27 so he makes $27 to add to those $70
Step-by-step explanation:
Solve for x: one over four (4x + 15) = 24
A: 45
B: 207/4
C: 81/4
D: 9
Answer:
[tex]C. x = \frac{81}{4} = 20.25[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}\left(4x+15\right)=24[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}4[/tex]
[tex]4\cdot \frac{1}{4}\left(4x+15\right)=24\cdot \:4[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4x+15=96[/tex]
[tex]\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}[/tex]
[tex]4x+15-15=96-15[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4x=81[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]
[tex]\frac{4x}{4}=\frac{81}{4}[/tex]
[tex]Simplify[/tex]
[tex]x=\frac{81}{4}[/tex]
A bag of skittles contains 7 purple, 4 red, 6 yellow, and 5 green skittles. Randomly I will grab a skittle, eat it and then grab another to eat. What is the probability that I will get a purple and then red?
Answer:
The probability will be [tex]\frac{1}{2}[/tex], since there are a total of 11 purple and red Skittles and an overall total of 22 Skittles in the bag.
Need answer for the question please
Answer:
-7/4
Step-by-step explanation:
The slope for line A is 4/7 and you find the perpendicular slope by finding the reciprocal so you would get 7/4 then you multiply that by -1. The end result would be -7/4.
Answer:
— 7/4
Step-by-step explanation:
1) Find the slope of line A:
m=∆y/∆x
=(4—0)/(0+7)
= 4/7
2) When a line is perpendicular to another we have: mm' = — 1
(m' stands for slope of second line)
In this case m' is: m' = — 7/4
Two side of a triangle have the following measures.
Answer:
add the two then subtract the two and put those answers in each box :)
Step-by-step explanation:
hope this helped! happy holidays!
simplify 8+2(5-×) thanks
Answer:
=8+2(5-x)
=8+10-2x
=18-2x
Answer:
hey am
I think that's be the answer
if you think it's not right
don't write
Need help I can’t fail this assignment. Answer asap!
Answer:
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes
6x + 5y = 10
5y = -6x + 10
y = (-6/5)x + 2
so a perpendicular line has slope 5/6
y = (5/6)x + b
plug in our desired point
3 = (5/6)6 + b
b = -2
y = (5/6)x - 2
I might be able to help you pass this assignment, but better learn it yourself as I cannot assure you will pass the class.
One of those "Win the battle but lose the war" type situations.
What are the center and radius of the circle?
Answer:
R = 4
Step-by-step explanation:
Beause when we say (-1,4)
It say the center of it
Find the equation of a line that intersects with y=2x-1 on the y-axis and is parallel to y=-x. Please explain.
Answer:
so where does that line intersect the y axis? just plug in x=0 and you see y= -1. so (0, -1)
y = -x -1 is parallel because it has the same slope and goes through the right point
Solve 3 = 5 + 5 for x.
Answer:
possible 0.3 or 3.3
Step-by-step explanation:
[tex]3 = 5 + 5 \\ 3 = 10 \\ 3 \div 10 = 0.3 \\ x = 0.3[/tex]
I THINK this is the answer or 3.3 (10÷3)
Lamar is solving the equation x2−12x=−6 by completing the square. Which shows Lamar's next step and the solution to the equation?
Step 1: x^2 - 12x = -6
Step 2: x^2 - 12x + 36= -6 + 36
Fill in the blanks to solve this equation
Answer:
Step-by-step explanation:
Answer the questions below.
(a) The perimeter of a rectangular field is 276 m.
If the length of the field is 75 m, what is its width?
Width of the field: /m
Answer:
63 m
Step-by-step explanation:
Perimeter is 276, 2L + 2W = 276, so L + W = 138
L = 75
138 - 75 = W
63 m
last week, dave predicted his weight at his physical would be 164 lbs. At the doctor’s his actual weight was 175 lbs. what was the percent of error in Dave’s estimate?
Answer:
[tex]6.29\%[/tex]
Step-by-step explanation:
[tex]\frac{175-164}{175}*100\%[/tex]
[tex]\frac{11}{175}*100\%[/tex]
[tex]0.0629*100\%[/tex]
[tex]6.29\%[/tex]
Determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form
15, 11 ,7, …
Answer:
This is the arithmetic sequence which has a common difference that equals to -4.
Step-by-step explanation:
An arithmetic sequence is a sequence with common difference. A common difference can be found by subtracting previous term with next term.
A common difference can be expressed in [tex]\displaystyle \large{d=a_{n+1}-a_n}[/tex] where d stands for common difference.
________
Moving to the question given. We have a sequence with given 15,11,7, ... first subtract 15 with 11.
11-15 = -4
7-11 = -4
Therefore, we can conclude that the common difference is -4 thus making the given sequence an arithmetic.
Let me know if you have any question so regarding the sequence!
Show that the equation y + 2 = 2(2x + 1) is linear and that it represents a proportional relationship between x and y.
Seven values on the number line above are marked with letters. Which letters represent integers?
write an expression that is equivalent to 1/3(24p-33) -iready
Answer:
8p - 11
Step-by-step explanation:
Got the same I-Ready question lol
Shawn wants to save up for a birthday outfit. He figures he can save $25 each week from the money earns cutting hair. If he plans to spend less than $175 for the outfit, how many weeks will it take him save enough money to buy any outfit in his price range?
Answer:
7 weeks
Step-by-step explanation:
175 divided by 25 is 7
Mrs. Clark's plant is 4/3 4 inches tall. It is 1/7 8 inches taller than Jimmy's plant. How tall is Jimmy's plant? Enter your answer as a simplified mixed number by filling in the boxes. $$ in.
Answer:
克拉克夫人的植物高 4/3 4 英寸。它比吉米的植物高 1/7 8 英寸。何
Creshawna has $52 in her bank account. She sells a few of her games and makes $134. She deposits that amount into her bank account. How much money does Creshawna have in her bank account after she deposits $134?
$180
$186
$190
$196
I'm pretty sure it's $186
help plslssssssssssssssss
Step-by-step explanation:
The answer is
In step 1 the multiplication property of equality was applied incorrectly
Divide £121 in the ratio 2:9.
is this one of your answer choice?
Find the points on x^2+3(y-2)^2 = 27
which are closest to and farthest from the origin
[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.
Let be a curve of the form [tex]x^{2}+3\cdot (y-2)^{2} = 27[/tex]. The distance with respect to origin is found by using the following Pythagorean identity:
[tex]r = x^{2}+y^{2}[/tex] (1)
Where [tex]r[/tex] is the square distance function.
We can modify (1) as following:
[tex]r = [27-3\cdot (y-2)^{2}]+y^{2}[/tex]
[tex]r = 27-3\cdot (y^{2}-4\cdot y +4)+y^{2}[/tex]
[tex]r = 27-3\cdot y^{2}+12\cdot y -12 + y^{2}[/tex]
[tex]r = -2\cdot y^{2}+12\cdot y+27[/tex] (1b)
Now we apply the First and second derivative tests to determine the minimum and maximum distances from the origin:
First derivative test
[tex]-4\cdot y +12 = 0[/tex]
[tex]y = 3[/tex]
Second derivative test
[tex]r'' = -4[/tex]
The y-component represents a maximum.
Now we graph the function with the ressource of a graphing tool, we find the following points:
Farthest points: [tex](-4.89, 3)[/tex], [tex](4.89, 3)[/tex].
Closest points: [tex](0, -1)[/tex].
[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.
To learn more on ellipses, we kindly invite to check this verified question: https://brainly.com/question/19507943
One side of a square garden is 8 feet long. How can you find the area of That is the
the garden?
Answer:
64 ft
Step-by-step explanation:
A square has to be equal on all 4 sides for it to be considered a square. Considering that it is 8 feet on one side it would be 8 feet on all the others as well. From there you multiply 8*8 and receive the solution of 84 feet for the area of the garden.