Answer: 68,819 rabbits
Step-by-step explanation:
First find the annual rate of growth that took the number of rabbits from 9,400 in 1998 to 32,000 in 2006.
Use the future value formula:
Number of years = 2006 - 1998 = 8 years
Future value formula:
Future value = Current value * ( 1 + rate) ^ number of years
Assume 2006 is the future and 1998 is present.
32,000 = 9,400 * (1 + r) ⁸
32,000 / 9,400 = (1 + r)⁸
(1 + r)⁸ = 3.404255319
1 + r = ⁸√3.404255319
r = ⁸√3.404255319 - 1
r = 16.55%
Use that rate to find the number of rabbits in 2011:
= Current value * (1 + rate) ^ number of years
Number of years = 2011 - 2006 = 5 years
= 32,000 * ( 1 + 16.55%)⁵
= 68,819 rabbits
A play is being presented on a circular stage. The two main characters are
at positions A and B at the back of the stage. What angle of view between
the main characters does an actor at position C at center stage have? *
Answer:
The angle of view between the main characters is 80°.
Step-by-step explanation:
The angle of view of the actor C between actors A and B is the measure of the angle of the central arc between A and B. Hence, the angle of view between the main characters is 80°.
Please help me solve my problem!!!
Answer:
FH is the smallest angle since it is lesser than all the other ones.
Which expression can be used to find 80% of 120?
80% of 120
20%
20%
20%
20%
20%
Answer:
96
Step-by-step explanation:
80*120=9600 divided by 100
find the time in which a train of length 132 M will cross and electric post if the speed of the train be to 6.4 km /hour
Answer:
It will take the train 1.2375 minutes to pass the tunnel
Step-by-step explanation:
Mathematically, we know that ;
time = distance/ speed
The distance here is the length of the train which is 132 m ; we can convert this to km by dividing by 1000
We have this as 132/1000 = 0.132 km
So, we have the time as;
0.132 km/6.4 km/hr = 0.020625 hr
Mathematically, we know that 60 minutes make an hour;
so we have
0.020625 * 60 = 1.2375 minutes
If f(x) = 1 - 2x^3, find the inverse of f.
I been in this question for many hr pls help me
Answer:
D
Step-by-step explanation:
-3x^2+9x-6
because if it's roots are 1 and 2 since if you plug them in you get zeros and if you plug in 3 you get the point -6 corresponding to the point (3,-6)
Answer:
d
Step-by-step explanation:
What is the greatest common factor of 42, 30, and 45
Answer:
3
Step-by-step explanation:
Express the numbers as a product of their primes.
42 = 2 × 3 + 7
30 = 2 × 3 × 5
45 = 3 × 3 × 5
Identify the prime factors common to all 3 numbers.
common prime factor = 3 , thus
GCF = 3
Answer: 3
Step-by-step explanation: The factors of 30 are 1. 2. 3. 5. 6. 10, 15, 30
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The factors of 45 are 1, 3, 5, 9, 15, 45
As you can see they all share the factors of 1 and 3. Since 3 is the greatest number of the factors all of them share it is the greatest common factor.
MATH HELP FAST PLEASE
Answer:
Angle 1 and Angle 2
Step-by-step explanation:
Adjacent supplement angles are a pair of angles that have a sum of 180 degrees and are adjacent to each other
Answer:
not sure look at the image please
The train left the terminal at 11:20 am and arrived at its destination at 2:40 pm how long did the train travel?
Answer:
3 hrs and 20 minutes
Step-by-step explanation:
10. SImplify. Write using rational exponents. Be sure to show any work and simplify your answer
Answer:
Step-by-step explanation:
Hope this helps u!!
What is the solution set of the equation x2 + 2x – 15 = 0?
Answer:
( x − 3 ) ( x + 5 )
Step-by-step explanation:
HAVE A NICE DAY
Answer:
B
Step-by-step explanation:
; factor the left side of the equation
; (x−3) (x+5) = 0
set factors equal to 0
x − 3 = 0
or
x + 5 = 0
; so, x = 3 or x = −5
Can someone explain how this is wrong? i just dont get it.
PLS HELP ASAP
It takes 24 electricians 36 days to wire a new housing subdivision. How many days would 32 electricians take to do the same job?
Answer: The 32 electricians are expected to finish the job in 27 days.
Step-by-step explanation:
help please! the question is in the picture below for reference when answering! thank you so much!
Answer:
101°
Step-by-step explanation:
In the rightmost triangle the missing angle is:
180° - 51° - 90° = 39° . 90° comes from the other angle in the straight horizontal line, because there is a 90° on the other side
In the leftmost triangle, the missing angle is:
180° - 90° - 50° = 40° . 50° comes from 180° - 130°
In the straight line
ABC = 180° - 40° - 39° = 101°
Answer = 101°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Adding and subtracting polynomials
Answer:
The expression to find the perimeter is 12x² - 6, and the perimeter when x= 1.5 is 21
Step-by-step explanation:
The perimeter is the sum of all side lengths for a 2d shape, such as this triangle. Our perimeter is thus
4x² - 3 + 4x² - 2 + 4x² - 1
We can then separate our variables and constants to make it
4x² + 4x² + 4x² - 3 - 2 - 1
Add the constants to get
4x²+4x²+4x² - 6
To add variables, we must first make sure that they are the same variable/letter as well as to the same degree. The coefficient only affects the result. Because all of our variables are the same letter (x) and are all to the second degree, we can add them. To do this, we simply add the coefficients together to make one big coefficient, and multiply that by the variable. Thus,
4x² + 4x² + 4x² = (4+4+4)x² = 12x²
4x²+4x²+4x² - 6 = 12x² - 6
Another way of looking at it is that 4x² = 4(x²) = x²+x²+x²+x²
Therefore, the expression to find the perimeter is 12x² - 6, and the perimeter when x= 1.5 is 12 * 1.5² - 6 = 21
2 + (-25) =?
NO LINKS OR I WILL REPORT!! 10 POINTS PLEASE ANSWER!
Answer:
-23
Step-by-step explanation:
Answer:
-23
Step-by-step explanation:
When you do positive-negative you subtract the 2 numbers then take the sign of the number that had the highest absolute value.
25-2=23
The absolute value of -25 is 25
(|-25| = 25)
And the absolute value of 2 is 2
(|2| = 2)
25 > 2
So it would be -23
Solve the given portion 10/a= 15/24 x=?
Answer:
[tex]a = 16.[/tex]
Step-by-step explanation:
[tex] \frac{10}{a} = \frac{15}{24} [/tex]
Then
[tex]15 \times a = 24 \times 10[/tex]
So
[tex]a = 240 \div 15[/tex]
Therefore
[tex]a = 16.[/tex]
please help me with this
Answer:
[tex]r^{6}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]\frac{r^{9} }{r^{3} }[/tex] = [tex]r^{(9-3)}[/tex] = [tex]r^{6}[/tex]
The graph of a function is a parabola that has a minimum at the point (-3,9). Which equation could represent the function?
Well there are no choices listed so it's going to be hard to say which; we'll write an expression for all of them and then give a few instances.
A parabola with a minimum forms a CUP, concave-up positive, meaning the coefficient a on x² must be positive, a>0.
The general form with vertex (p,q) is
y = a(x-p)² + q
So for us, all our parabolas are of the form
y = a(x- -3)² + 9
y = a(x² + 6x + 9) + 9
y = ax² + 6ax + 9(a+1)
That's the general form for a parabola with vertex (-3,9); a>0 assure the parabola has a minimum at the vertex.
Some instances:
a=1 gives
Answer: y = x²+6x+18
a=4 gives
y = 4x² + 24x + 45
Other positive as give other possible answers; without the choices it's impossible to know which one they're seeking.
if x2+1/x2=27 find the value of x3+1/x3can anyone answer this, please
Step-by-step explanation:
x2+1/x2=27
x2+1=27x2
1=26x2
x2 = 1/26
x = √(1/26)
x3+1/x3 = (√(1/26))^3 + 1 / (√(1/26))^3
x3+1/x3 = 134
Please find attached photograph for your answer
Find the side length for the missing side length of 12) and 13). And solve for x on 14) and 15)
Answer:
12) A
the values are each devided by three then multiplied by 4
13) C
values are 4 times as big as in the right figure
14) and 15) two thirds of the value in the left figure. the rotation is just to disorient you a lil :D just keep the 90° angle as a reference point
x is option A
and y is option C
In August 200920092009, Usain Bolt ran 100100100 meters in 9.589.589, point, 58 seconds (\text{sec})(sec)(, start text, s, e, c, end text, ), setting the world record at that time. There are approximately 1.0941.0941, point, 094 yards (\text{yd})(yd)(, start text, y, d, end text, )in a meter. What was Usain Bolt's average speed in yards per second
Answer:
Record speed of Usain Bolt in yards per second = 11.42 Yards (Approx.)
Step-by-step explanation:
Given:
Record speed of Usain Bolt = 100 meter in 9.58 second
1 meter = 1.094 yards
Find:
Record speed of Usain Bolt in yards per second
Computation:
Record speed of Usain Bolt = 100 meter in 9.58 second
1 meter = 1.094 yards
100 meter = 1.094 × 100 yards
100 meter = 109.4 yards
Record speed of Usain Bolt in yards per second = 109.4 / 9.58
Record speed of Usain Bolt in yards per second = 11.4196
Record speed of Usain Bolt in yards per second = 11.42 Yards (Approx.)
what is the angle of x
Answer and Step-by-step explanation:
To find x, subtract all of the given angles from 180.
We subtract from 180 because the angles in a triangle (when added together) add up to 180.
180 - 90 - 35 = 55
x = 55 is the answer.
#teamtrees #PAW (Plant And Water)
Answer:
55°
Step-by-step explanation:
Given :-
Angles = x , 35° and 90°.We know :-
Angle sum property of∆ = 180° .→ 35 + x + 90 = 180
→ x + 125 = 180
→ x = 55°
In 7 years, Tom will be half as old as Patty. Using P to represent Patty’s age now, write an expression for Tom’s age in 7 years.
Answer:
(P + 7) / 2 or 1/2(P+7)
Happy learning!
--Applepi101
Deliana thinks she needs to solve 5 ÷ 6. Do you agree with her? Explain why or why not.
Answer:
5 is small 6 is bigger
Step-by-step explanation:
because 6 is bigger and 5 is small than divide
Which best describes the incenter of a triangle?
• A. The point where the three altitudes of the triangle intersect
•
B. The point where the perpendicular bisectors of the three sides of
the triangle intersect
•
C. The point where the three medians of the triangle intersect
•
D. The point where the three angle bisectors of the triangle intersect
SUBMIT
Answer:
The statement that best describes the incenter of a triangle is that, it is the point where the three angle bisectors of the triangle intersect. In geometry, an incenter of a triangle is described as the triangle center.
Step-by-step explanation:
follow me
Answer:
D. The point where the three angle bisectors of the triangle intersect
Step-by-step explanation:
What is the converse of the conditional statement?
If x is even, then x + 1 is odd.
If x is not even, then x + 1 is not odd.
O If x + 1 is odd, then x is even.
Olf x + 1 is not odd, then x is not even.
If x is even, then x + 1 is not odd.
Answer:
Step-by-step explanation:
it's b
Which of the following is a factor of 8x2– 10x– 3?
Answer:
8x2- 10x- 3 = 46
Step-by-step explanation:
2) If a = 6 feet and b = 8 feet, what is the measure of c?
6 feet
8 feet
10 feet
14 feet
An attachment would help. Assuming this is the Pythagorean theorem, c would be 10 feet. (6)^2 + (8)^2 = 100 -----> √100 = 10
ABCD is a parallelogram in which cd = 7cm Ad = 5cm ND adc = 125.. Find correct to one decimal place the area of the parallelogram.
28.7cm²
Step-by-step explanation:
The sketch of the parallelogram is attached to this response.
As shown in the sketch,
h is the height of the parallelogram
ADC is 125°
AD = 5cm
CD = 7cm
Also
Since the adjacent angles of a parallelogram are supplementary (add up to 180°), it means that;
=> ADC + BCD = 180°
=> 125° + BCD = 180°
=> BCD = 180° - 125°
=> BCD = 55°
The area (A) of a parallelogram is given by;
A = b x h ----------(i)
Where
b = base of the parallelogram
h = height of the parallelogram
From the sketch,
b = CD = 7cm
h can be found by using the sine trigonometric function as follows
sin BCD = [tex]\frac{h}{BC}[/tex]
=> sin 55° = [tex]\frac{h}{5}[/tex]
=> h = 5 sin 55°
=> h = 5 x 0.8192
=> h = 4.096cm
Now, substitute the values of h and b into equation (i) as follows;
A = 7 x 4.096
A = 28.672
A ≅ 28.7 (to one decimal place)
Therefore, the area of the parallelogram is 28.7cm²
