Answer:
49243
Step-by-step explanation:
Given that the population of rabbits on an island is growing exponentially.
Let the population, [tex]P=P_0e^{bt}[/tex]
where, [tex]P_0[/tex] and b are constants, t=(Current year -1994) is the time in years from 1994.
In 1994, t=0, the population of rabbit, P=9600, so
[tex]9600=P_0e^{b\times 0}[/tex]
So, [tex]P_0=9600[/tex]
and in 2000, t=2000-1994=6 years and population of the rabbit, P=18400
[tex]18400=9600 \times e^{b\times 6} \\\\\frac{18400}{9600}=e^{b\times 6} \\\\[/tex]
[tex]\ln(23/12}=6b \\\\[/tex]
[tex]b = \frac{\ln{1.92}}{6} \\\\[/tex]
b=0.109
On putting the value of P_0 and b, the population of the rabbit after t years from 1994 is
[tex]P=9600 \times e^{0.109\times t}[/tex]
In 2009, t= 2009-1994=15 years,
So, the population of the rabbit in 2009
[tex]P=9600 \times e^{0.109\times 15}=49243[/tex]
Hence, the population of the rabbit in 2009 is 49243.
Which of the following is closest to 1/2 + 1/3?
Answer:
c
Step-by-step explanation:
1/2= 0.5, 1/3= 0.33 ; 0.5+ 0.33= 0.83 or 0.8
what is the best estimate for V18
Answer:
34/8-16/3-14/9
Step-by-step explanation:
What are the slope and the y-intercept of the linear function that is represented by the equation 8x-2y = 57
5
The slope is 2, and the y-intercept is 4.
5
The slope is 2, and the y-intercept is 4.
5
The slope is 4, and the y-intercept is 2.
5
The slope is 4, and the y-intercept is 2.
Answer:
slope(m)=4 and
y-intercept(c)=-5/2
Step-by-step explanation:
here,8x-2y=5
reducing it into slop intercept form we get,
2y=8x-5
or,y=8/2x+(-5/2)
or,y=4x+(-5/2)
comparing it with y=mx+c we get,
slope(m)=4 and
y-intercept (c)=-5/2
Which is the better value, 2 books for $18 or 6 books for $45? Explain. {hint: make two tables; compare} (1 pt.) RP.1.3 b a.2 books for $18 because each book costs $9 and 6 books for $45 because each book costs $9.50 b.2 books for $18 because each book costs $8 and 6 books for $45 because each book costs $9.50 c.6 books for $45 because each book costs $7.50 and 2 books for $18 because each book costs $9 d.6 books for $45 because each book costs $9 and 2 books for $18 because each book costs $9.50 answer fast please
Answer:
I am a little confused by your question but if you were getting less it would be the first but more would be the second
Step-by-step explanation:
Answer:
c. 6 for 45 b/c each costs 7.50 and 2 for 18 b/c each book costs 9
Step-by-step explanation:
If you divide the amount of money by the number of books then you will find how much each book costs individually. If you wanna spend less money per book, then you 6 books for 45 is a better deal
What is the answer to this ??
Answer:
the first one
Step-by-step explanation:
they meet on (-3,-$4) so just plug the numbers in
Write an equivalent expression by distributing the "-−" sign outside the parentheses:
10m-(3.3n+1.8)
Answer:
10m - 3.3n - 1.8
Step-by-step explanation:
10m -(3.3n + 1.8)
10m - 3.3n - 1.8
Hope this helps and I hope u have an Amazing day!!
Is A triangle with side lengths 24,32, 42 a right angle?
Answer:
No its not a right angle.
John and his mother are trying to determine the dimensions of their new curtains. They know that the area of the fabric they have available is y^2-10y+25 square inches. Which of the following are possible dimensions of the curtains, in inches?
A.
(y – 1)(y – 10)
B.
(y – 25)(y – 1)
C.
(y – 5)(y – 5)
D.
(y + 5)(y – 5)
Answer:
the answer is C . (y-5)(y-5)
Step-by-step explanation:
i just did it in edge
What is the slope of the line that passes through the points (3,-5) and (1,-5)? In simplest form.
Answer:
Step-by-step explanation:
The way to find slope is by y2-y1/x2-x1 which gives you slope ,but if you just want the answer its zero.
Dr. Concha Gómez is an Italian, Cuban American who received a Ph. D. in Mathematics at the University of California at Berkeley. Dr. Gomez currently works at the University of
Wisconsin where she teaches her students how to find the solutions to a quadratic function. To start, she asks her students to find the factors for the quadratic expression,
7z^2 -38z + 15.
Select the factors of this quadratic expression.
Answer:
7z - 3 and z - 5
Step-by-step explanation:
The factors of the given quadratic expression is (z-5((7z-5).
The given quadratic expression is 7z² -38z + 15.
What is the quadratic expression?An expression of the form ax² + bx + c, where a ≠ 0 is called a quadratic expression. In other words, any expression with the variables of the highest exponent or the expression's degree as 2 is a quadratic expression.
The given quadratic expression 7z² -38z + 15 can be solved as follows:
Using spitting middle term
7z² -35z-3z + 15
= 7z(z-5)-3(x-5)
= (z-5((7z-5)
Therefore, the factors of the given quadratic expression is (z-5((7z-5).
To learn more about the quadratic expression visit:
https://brainly.com/question/14083225.
#SPJ6
I NEED HELP NOW PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! im gonna fail i swear help please now
what's 2+2 ?
Answer:
2+2 = 4
Step-by-step explanation:
ok so if u put 2 fingers up and you add 2 more, you get 4
bruv
Find the slope of two points (1,-5)(10,6)
Answer:
11/9
Step-by-step explanation:
Answer: 11/9
Step-by-step explanation:
The slope is found by the change in y over the change in x
(6-(-5))/(10-1)
Simplify:
11/9
Can anyone please help me with this multiple choice for 10 points! ANSWER ONLY IF YOU KNOW! Question 4
Answer:
question 4.
D (x-10)
Step-by-step explanation:
question 4.
x^2 - 8x - 20
(x -10)(x+2)
x² + 8x - 20 [-20 = -2 × 10]
x² - 2x + 10x - 20 [8 = -2 + 10]
x(x - 2) + 10(x - 2)
(x + 10) (x - 2)
___________________________________________
A. x - 2
represents a factor
please help me I dont want to do it and I am on a timed thing
Answer:
-1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
-5 -15 = -20
-20+4 = -16
-16+15 = -1
Therefore, -5-15+4+15 = -1
.
Marshall gave the cashier $100 to pay for 4 new video games. The cashier gave him $4.08 in change. Each video game cost the same amount.
What is the cost in dollars and cents for each video game?
PLZZZZ HELP
Answer:
I would say it's $23.98
Step-by-step explanation:
If you do 100-4.08, you get 95.92 and since there's 4 video games, divide 95.92 by 4 and you get 23.98
Answer:
$23.98 or 2398 cents
Step-by-step explanation:
If the cashier gave $4.08 back, that means that he spent 100-4.08 on the 4 games.
$100 = 4 games + $4.08
4 games = $95.92
$95.92/4 = $23.98
Hope That Helps.
Factor the expression 5x+15
Answer:
5(x+3)
Step-by-step explanation:
Find the Greatest Common Factor (GCF).
GCF = 55
2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
5(\frac{5x}{5}+\frac{15}{5})5(
5
5x
+
5
15
)
3 Simplify each term in parentheses.
5(x+3)5(x+3)
Factor 5 out of 5x + 15.
5 (x + 3)
HELP ME PLEASEEEE!!I beg y’all
Answer:
For Ms Ortiz: 50 = 50x+30y
For Mr Donahue 45=30x+30y
C =Substitution
Answer:
Step-by-step explanation:
45 divided by 30=$1.50
x amount of rulers multiplyed by 1.50
45-55=10$
50 pencils for 10 bucks
50 divided by 10 =5
5 5 5 5 5 5 5 5 5 5
five pencils for five dollers one doller for one pencil
sorry for the spelling errors this is all i can do the rest is a bit tricky
For the system, what is the y-value? -5x + 3y =10 -x + 6y = 4
Answer:
The answer i believe is y=-10/3 - 4x/3
Step-by-step explanation:
can someone answer this please
Answer:
The coordinates of point P are (1, -1)
Step-by-step explanation:
If the point (x, y) reflected about the x-axis, then its image is (x, -y)To find the image of a point reflected about the x-axis change the sign of its y-coordinateThe rule is R x-axis → (x, -y)If the point (x, y) reflected about the y-axis, then its image is (-x, y)To find the image of a point reflected about the y-axis change the sign of its x-coordinateThe rule is R y-axis → (-x, y)→ Assume that the coordinates of point P are (x, y)
∵ The coordinates of point P are (x, y)
∵ The rule of the reflection is R y-axis (P)
∴ Its image = (-x, y)
∵ The image = (-1, -1)
→ Equate the two images
∴ (-x, y) = (-1, -1)
∴ -x = -1
→ Divide both sides by -1
∴ x = 1
∵ y = -1
∴ The coordinates of point P are (1, -1)
PLEASE ANSWER THISSS
Answer:
78.5 ft
Step-by-step explanation:
You had the right answer
Hope you got the clarification you needed! :)
Brainliest pls
1. Calculate the value of x in the following diagram. 53 - Y IN Q 5x 18
Answer:
x = 7
Step-by-step explanation:
QY = 5x
YZ = 18
QZ = 53
Thus:
QY + YZ = QZ (segment addition postulate)
5x + 18 = 53
5x = 53 - 18 (subtraction property of equality)
5x = 35
Divide both sides by 5
x = 7
What is 3% of 250 ?
.....
What is 5+5x•40 if x equals 5
Which is bigger 67% or 3/5 Please help me
Answer:
67%
Step-by-step explanation:
This is because 67% is basically 67/100 as a fraction and 3/5 is only 60%, all you need to know is the facts about fraction to percentage
3n - 5 =22 what is the value of n
Answer:
n = 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
3n - 5 = 22
Step 2: Solve for n
Add 5 to both sides: 3n = 27Divide 3 on both sides: n = 94 3/7 + 6 1/5 = ?
Please EXPLAIN!!!
I'm too lazy and when I lazy I not so smart ;)
Answer:
Welp here is the answer to your question, 372/35 in exact form. in mixed number form it is 10 22/35
Which equation could be used to solve for a value, x, that is equal to 5 times the sum of x and 12?
x = 5x = 12
5x = x + 12
x = 5(x + 12)
x = x + (5)(12)
What are the zeros of the polynomial function?
Answers option's
-15 and 4
-4 and 15
10 and -6
-10 and 6
Robert and his younger sister are selling gift wrap to raise funds for the middle school band. Robert's sales are 2.5 times his sister's sales. Their total sales together can be represented by the equation x+2.5x=63 . Which of these statements are true? Choose ALL that are correct. A Robert's sales are represented by x when solving 3.5x=63 . B Robert's sister's sales total $18.00. C Robert's sales are represented by x when solving 2.6x=63 . D Robert's sales total $25.20. E Robert's sister's sales are represented by x when solving 3.5x=63 .
Answer:
B. Robert's sister's sales total $18.00.
E. Robert's sister's sales are represented by x when solving 3.5x = 63 .
Step-by-step explanation:
Let
Robert sister's sales = x
Robert sales = 2.5 * x
= 2.5x
Total sales = Robert sister's sales + Robert sales
63 = x + 2.5x
63 = 3.5x
Divide both sides by 3.5
x = 63 ÷ 3.5
= 18
x = $18.00
Robert sales = 2.5x
= 2.5(18)
= $45.00
A. Robert's sales are represented by x when solving 3.5x=63 .
No
B. Robert's sister's sales total $18.00.
Yes
C. Robert's sales are represented by x when solving 2.6x=63 .
No
D. Robert's sales total $25.20.
No
E. Robert's sister's sales are represented by x when solving 3.5x = 63 .
Yes
Please help! Will mark Branliest!
In Game 2, your score started at 2 and doubled every time. Two expressions below represent your score after 12 hits. Select both.
Answer:
B and D
Why are both of the answers to the last question correct?
An exponent is a short way to write repeated multiplication. So 212 means the same as 2 • 2 • . . . • 2 • 2.