Answer:
There will be approximately 165,689, 137,264, and 94,207 squirrels in 25, 50, and 100 years respectively.
Step-by-step explanation:
Exponential Decay Function
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
[tex]s(t)=s_o\cdot(1-r)^t[/tex]
Where:
s(t) is the actual value of the function at time t
so is the initial value of s at t=0
r is the decaying rate, expressed in decimal
The population of squirrels is decreasing at a rate of r=0.75% = 0.0075. The initial number of squirrels is so=200,00. The exponential model for this situation is:
[tex]s(t)=200,000\cdot(1-0.0075)^t[/tex]
[tex]s(t)=200,000\cdot(0.9925)^t[/tex]
Where s is the number of squirrels at any time t.
We are required to find the number of squirrels in:
t=25 years. Substitute in the formula:
[tex]s(25)=200,000\cdot(0.9925)^25[/tex]
Calculating:
[tex]s(25)\approx 165,689[/tex]
t=50 years. Substitute in the formula:
[tex]s(50)=200,000\cdot(0.9925)^50[/tex]
Calculating:
[tex]s(50)\approx 137,264[/tex]
t=100 years. Substitute in the formula:
[tex]s(100)=200,000\cdot(0.9925)^100[/tex]
Calculating:
[tex]s(100)\approx 94,207[/tex]
There will be approximately 165,689, 137,264, and 94,207 squirrels in 25, 50, and 100 years respectively.
5x+3=23
what is the answer?
Answer:
4
Step-by-step explanation:
Sub both sides by 3 then describe 20 by 5.
What’s the sum of -3a+2 and 5a-3
Answer:
2a-1
Step-by-step explanation:
Answer:
2a-1
Step-by-step explanation:
you take the -3a and add the 5a, and that gives you 2a. 2-3 is -1.
if AB= 5 what is the exact length of BD in square ABCD
Answer:
sqrt 50
Step-by-step explanation:
First of all this is a square so if AB = 5, then AD is also 5.
Let's get rid of the other triangle and only focus on triangle ABD.
Using Pythagorean theorem we are able to solve this problem.
The Pythagorean Theorem basically states that:
a^2 + b^2 = c^2
Where a and b are the legs and c is the hypotenuse, aka the thing that we are trying to solve for right now.
Substitute these numbers in: 5^2 + 5+2 = c^2
Solve: 50 = c^2
c= sqrt 50
^ and that is our answer!
hiii please help i’ll give brainliest if
you give a correct answer and maybe explain thankss
Answer:
4:3
16:12
Step-by-step explanation:
Both of those numbers can be multiplied or divided to equal 8:6
Emelina loaded 96 trucks in 8 hours. At that rate, how many trucks
would she load in 15 minutes?
Answer:
3
Step-by-step explanation:
60 × 8 = 480 (mins)
96 (trucks) = 480 (mins)
÷32 (I got this number by dividing 480 by the desired amount of mins which was 15)
3 = 15
So 3 trucks would have been loaded in 15 mins
A rainwater was 2/3 full of water. After 60 liters of water were used from the barrel, it was 5/12 full. How much water does the barrel hold when full?
Answer: 240 liters
=======================================================
Work Shown:
x = capacity of barrel in liters
This value of x is some positive real number. It represents the most amount of water the barrel can hold.
The problem states that the barrel is 2/3 full to start with. This means, we start off with (2/3)x liters of water. Then we subtract off 60 of them to get to 5/12 full, meaning we have (5/12)x liters left.
We can form this equation
(2/3)x - 60 = (5/12)x
Multiply both sides by 12 to clear out the fractions
(2/3)x - 60 = (5/12)x
12*( (2/3)x - 60 ) = 12*(5/12)x
12*(2/3)x - 12*60 = 12*(5/12)x
8x - 720 = 5x
From here we solve for x
8x - 5x = 720
3x = 720
x = 720/3
x = 240
The barrel's full capacity is 240 liters
--------------------------
Check:
2/3 of 240 = (2/3)*240 = 160
The barrel starts off with 160 liters of water inside.
We then use 60 of them to be left with 160-60 = 100 liters
Note how 100/240 = (5*20)/(12*20) = 5/12, showing that 100 liters out of 240 total reduces to the fraction 5/12. In other words, when we say "5/12 full" we mean 100 liters full. This helps confirm we have the right answer.
Elise says, "If you subtract 18 from my number and multiply the difference by - 3, the result is
- 33." What is Elise's number?
Elise's number is 29.
If you think of multiplying a value by -3 to get -33, it would obviously be 11.
So in this case, you would want to add 18 to 11 to get Elise's number, which is 29. Subtracting 18 from 29 would get you back to the value of 11, which you can then multiply it by -3 again to get -33.
Select the correct answer.
Simplify the following expression.
1
OA
OB. 5(-3)
О с.
53
OD.
Answer:
B) 5(-3) either way its telling you to multiply 5 by -3
The simplifying form of the expression 5⁻³ is,
⇒ 1 / 5³
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression for simplifying is,
⇒ 5 ⁻³
Now,
By rule of exponent;
⇒ a⁻ⁿ = 1 / aⁿ
Hence, We can formulate simplifying form of the expression 5⁻³ is,
⇒ 5 ⁻³
⇒ 1 / 5³
Thus, The simplifying form of the expression 5⁻³ is,
⇒ 1 / 5³
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
I'll give Brainliest to whoever can help! I need help ASAP..!!
Answer:
1. b d
2. is c or d
3. a or c
4. b or c
5. c
Step-by-step explanation:
The ratio of boys to girls in Ella’s grade is 3 to 4. The ratio of boys to girls in Minh’s grade is 4 to 5. Each grade has a total of 20 girls.
How many boys are in each grade?
Answer:
12 boys
Step-by-step explanation:
I believe the answer is 12 boys. I hope this helps!
BRAINLIEST IF CORRECT
A state offers two lottery games, Winone and PlayBall. Both games cost $2 per ticket.
• In Winone, the player picks a single letter from A to J and a single digit from 0 to 9. If both the letter and the digit match the letter and the
digit picked on that day, the player wins $150.
• In PlayBall, the player picks a single letter from A to T and a single digit from 0 to 9. If both the letter and the digit match the letter and the
digit picked on that day, the player wins $280.
If the prize for WinOne were increased to $200 for matching both the letter and the digit, what would the expected value be?
ОА.
-$0.80
OB. $0.65
C. $0
OD. $0.80
Give good evidence to back it up and i will give brainliest. thnx to whoever helps.
Answer:
Step-by-step explanation:
well, every hour she drives, she loses 2 gallons. so when she was 2 hours in, she was at 8 gallons, when she was 1 hour in, she was at 10 gallons, and when she started, she was at 12 gallons.
PLEASE HELP HURRY LOOK AT IMAGE!!!!
Has anyone done this before ?
no i haven't
sorryyyyyyy
what is the value of y intercept of the graph of h(x)=32(2.9)^x
Answer: 32
Step-by-step explanation:
hi :)
Can someone please help me with this question.
Answer:
Since FAB and GED are congruent they also create the same angle. The angle is shown with the curved line. AE is a straight line, or 180 degree angle. This means that FAB and ABC must create a 180 degree angle... and if FAB is congruent to GED then GED and EDC are also congruent.
Step-by-step explanation:
I hope this made sense, it's kind of messy but I hope it helps.
Find the other endpoint of the line segment with the given endpoint and midpoint.
2) Endpoint: (-6, 4), midpoint: (-4,8)
Answer:
(-2,12)
Step-by-step explanation:
Answer:
Office Depot
Step-by-step explanation:
Find the 76th term of the arithmetic sequence 16, 14, 12, ...
Answer:
-134
Step-by-step explanation:
Answer:
-134
Step-by-step explanation
If the points are (-10, 3), (-2, 10) what is the slope?
Answer:
= 7/ 8
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 10-3)/( -2 - -10)
= ( 10-3)/( -2 +10)
= 7/ 8
A sales person at a Jewwlry store earns 5% commission each week. last week ,Heidi sold $640 worth of jewelry. Home much did she make in commission? How much did the jewellery store make from her sale?
Answer:
224
Step-by-step explanation:
5 percent of 640=32
32 times by 7=224
Which set of statements would describe a parallelogram that can always be classified as a rhombus?
I. Diagonals are perpendicular bisectors of each other
II. Diagonals bisect the angles from which they are drawn
III. Diagonals form four congruent isosceles right triangles
Identify the two values of x that make 10x – 8 > 2(4x + 2) true.
Answer:
6 and 4
Is the answer
In a system of two linear equations, the lines represented by each equation have the same slope. Which could be the total number of solutions to the system of equation
Answer:
Please see explanation
Step-by-step explanation:
A system of linear equations in two variables represents two lines on graph.
When both the lines have same slope, there can be two cases
Same slope with different y-interceptsWhen two lines have same slope and different y-intercepts, that means that both lines are parallel and parallel lines have no solution.
Same slope with same y-interceptsWhen the slope of both lines is same and the y-intercept is also same, this means that both the equations refer to the same line. This means that the system has infinite number of solutions.
Jim has $50 to spend at an office supply store. He wants to buy $1.69 per pen and S5
each note pad. Jim buys pens and a note pad. Write an equation
this dosent make sense
Step-by-step explanation:
PLS HALP-
Liam placed 24 patio pavers as shown below.
A rectangular array of four pavers wide by six pavers long. The length of the total rectangle is sixty-three and two-tenths inches.
What is the length of a single patio paver?
A. 18.2 in.
B. 15.8 in.
C. 10.53 in.
D. 2.63 in.
Answer:
the correct answer is B
Step-by-step explanation:
i got this correct on my test UWU
Please help lol. 15 point!
Answer:
52
Step-by-step explanation:
please helppp i’m on a time limit
Answer:
It is 3 because it is both in red and blue and that is the only section that shows it’s in both
Answer:3
Multiplying by 1.36 is the same as increasing by
%.
Answer:
36%
Step-by-step explanation:
1 = 100%
so 1.36 is increasing by 36%
Help!! Find the indicated angle measure. Show your work.
Answer:
m∠NPM = 101
Step-by-step explanation:
Since LM is a straight line, Angle LPM and Angle NPM have to equal 180 degrees (they are supplementary), so we make the equation:
180-79=measure of angle NPM
m∠NPM = 101
Answer:
<NPM = 101°
Step-by-step explanation:
<NPM = 180° - <LPN ( because LPM is a straight line and it should measure 180°)
<NPM = 180° - 79°
<NPM = 101°
Algebra 1 Q. Checkpoint: Function concepts HWA The organizers of the Clark County Fair keep track of daily revenue from ticket sales. The function f(x) gives the revenue from ticket sales on day x of the fair. The revenue is measured thousands of dollars. What does f(4) > f(1) tell you? The revenue from ticket sales on day 4 was greater than $1,000. The fair had greater revenue from ticket sales on day 4 than on day 1. On day 1, the revenue from ticket sales was less than $4,000. $4,000 in ticket revenue is greater than $1,000 in ticket revenue. Submit.
1000*1.40=482892 algebra 6x+73=8228
Answer:
The fair had greater revenue from ticket sales on day 4 than on day 1.
Step-by-step explanation: