The number of months it would take the bunny farm to triple in size is 5.3 months.
When would the bunny farm be triple its size?The formula that can be used to determine the number of months it would take Mrs. Galicia's bunnies to triple in size is:
Number of years = (In FV / PV) / r
FV = future population of the bunniesPV = present population of the bunniesr = rate of growthFV / PV = 3IN(3) / 0.2075 = 5.3 months
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Aiden is a percussionist in his
school band. One instrument he
plays is in the shape of an
equilateral triangle shown below.
The side lengths are in inches.
Find x and y.
Answer:
could you show the triangle?
Find the volume please
Answer:
solve with v=l*b*h
Step-by-step explanation:
cut in into two piece and solve
Find the dimensions of a rectangle (in m) with perimeter 76 m whose area is as large as possible. (Enter the dimensions as a comma-separated list.)
Answer:
19,19
Step-by-step explanation:
It will be a square
76 / 4 = 19 m sides
find all solutions in the interval [0,2pi).
2sin^2(x)=sin(x)
[tex]2\sin^2 x =\sin x \\\\\implies 2 \sin^2 x - \sin x=0\\\\\implies \sin x(2 \sin x -1) =0\\\\\implies \sin x = 0~~\text{or}~~ 2 \sin x -1 =0\\\\\implies \sin x = 0~~ \text{or}~ ~ \sin x = \dfrac 12\\\\\text{For}~~ \sin x = 0\\\\x=n\pi \\\\\text{In the interval,}~~[0, 2\pi)\\\\x=0, \pi\\\\\text{For}~~ \sin x = \dfrac 12\\\\x=n\pi+(-1)^n \dfrac{\pi}6 \\\\\text{In the interval,}~~[0, 2\pi)\\\\x=\dfrac{\pi}6,~ \dfrac{5\pi}6\\\\\text{Hence,}~ x = 0,~\pi,~ \dfrac{\pi}6, ~\dfrac{5 \pi}6[/tex]
Answer:
[tex]x=0, \dfrac{\pi}{6},\dfrac{5\pi}{6},\pi \:\sf(for\:the\:given\:interval)[/tex]
Step-by-step explanation:
given interval [0, 2π) = 0 ≤ x < 2π
[tex]2\sin^2(x)=\sin(x)[/tex]
subtract sin(x) from both sides:
[tex]\implies 2\sin^2(x)-\sin(x)=0[/tex]
factor:
[tex]\implies \sin(x)[2\sin(x)-1]=0[/tex]
[tex]\sin(x)=0[/tex]
[tex]\implies x=0 \pm2 \pi n, \pi \pm2 \pi n[/tex]
[tex]\implies x=0, \pi \:\sf(for\:the\:given\:interval)[/tex]
[tex]2\sin(x)-1=0[/tex]
[tex]\implies \sin(x)=\dfrac12[/tex]
[tex]\implies x=\dfrac{\pi}{6} \pm2 \pi n, \dfrac{5\pi}{6} \pm2 \pi n[/tex]
[tex]\implies x=\dfrac{\pi}{6},\dfrac{5\pi}{6}\:\sf(for\:the\:given\:interval)[/tex]
Final solution:
[tex]x=0, \dfrac{\pi}{6},\dfrac{5\pi}{6},\pi \:\sf(for\:the\:given\:interval)[/tex]
If a student wants to multiply by 8 they can?
A. Multiply by 2 three times
B Multiply by 2 four times
C Multiply by 4 twice
D Multiply 2 and multiply by 4 and add them together
Hello Brainly user,
A. Multiply by 2 three times if you want to multiply by 8.
Proof:
For example, if you want to multiply 2 by 8 --> 2x8 then you can just do 2x2 = 4 4x2 = 8 8x2 = 16.
TO CHECK:
You can do 8x2 = 16.
Hence, this answer is 100% correct.
Log(x^2)+log(x^3)/log(70x)=4
Answer:
x=24010000
Step-by-step explanation:
Log(x^2)+log(x^3)=log(70^4x^4)
Log(x^2x^3)=log(70^4x^4)
x^2x^3=70^4x^4
x^5=70^4x^4
x=70^4=24010000
The concentration of a drug t hours after being injected is given by C ( t ) = 0.6 t t 2 + 30 . Find the time when the concentration is at a maximum. Give your answer accurate to at least 2 decimal places.
Answer:
5)9):3=12
Step-by-step explanation:
yan na yung sagot sana makatulong
The minute hand of a clock turns 180° in how many minutes? A. 60 B. 45 C. 30 D. 20 E. 15
Answer:
30 Minutes is the answer
Step-by-step explanation:
Since 360 degrees =60
Then 180 degrees =30
Which inequality symbol has a open circle
Answer:
When graphing a linear inequality on a number line, use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to".
What is the solution to the equation below? Round your answer to two
decimal places.
In x=-3
O A. x= 0.45
O B. x = 0.05
O C. x= -1.09
D. x= -20.09
Answer: B
Step-by-step explanation:
In order to isolate 'x', we can use the number 'e' to cancel the natural log. The 'e' will cancel the natural log because they are inverse to each other:
[tex]e^l^n^(^x^)=e^-^3[/tex]
[tex]x=e^-^3=\frac{1}{e^3} =0.049787[/tex]
Question is in picture
Answer:
If the candy was in whole of in peices
Step-by-step explanation:
A dependant variable is something you do to change a result, so breaking tha candy would be the dependant variable because they werre trying to see if breaking the candy would lead to diffrent results.
Just so you remember for next time:
an Indipendent variable is something that is constant that we can not change
and a dependent variable is something that we change to get a diffrent response.
triangle MNO is an isosceles triangle in which only one angle measures 88.6. what is the angle measure of one of the two congruent angles?
Answer:
45.7°
Step-by-step explanation:
area of a triangle= 180°so,180- 88•6=91•4since the congruent angles are equal,you will divide 91•4 by 291•4÷2=45•7ans=45•7°Susan is six years older than
Beth. In four years, Susan will
be twice as old as Beth. How
old is Susan now?
Answer:Susan is eight years now
Step-by-step explanation:
HELP HELP HELP HELP HELP PLEASE
Answer:
A) 50; B) 48% C) 5-9 and 10-14 D) 8%
Step-by-step explanation:
The total lines are all the lines per bar summed up.
To get percentages, simply take the number of lines the bar represents, divide it by 50 (the total lines), and multiply it by 100 (to convert from decimal to percent).
Zarea finds 3^√6000 and shows her work below. 3^√6000 = 3^√? x 3^√6 = 10 ^3√6 what is the missing value?
Answer:
? = 1000
Step-by-step explanation:
Zarea is making use of the fact that the cube root of a product is the product of the cube roots. She is factoring out the largest perfect cube in the number 6000.
[tex]\displaystyle \sqrt[3]{6000}=\sqrt[3]{1000\cdot6}=\sqrt[3]{\boxed{1000}}\cdot\sqrt[3]{6}=10\sqrt[3]{6}[/tex]
The missing value in Zarea's work is 1000.
Give the equation the circle (X+5)^2+(y-1)^2=16, which correctly gives the center and radius of the circle
Answer:
Step-by-step explanation:
You have:
[tex](x+5)^2+(y-1)^2=16[/tex]
[tex](x+5)^2+(y-1)^2=4^2[/tex]
To find the center of the circle, you want to find the 'x' and 'y' values which make their respective term equal zero:
[tex](x+5)^2=0[/tex]
[tex](y-1)^2=0[/tex]
[tex]x=-5[/tex]
[tex]y=1[/tex]
The radius of the circle would be 4 due to the right side of the circle equation. Our circle is centered at (-5, 1) and has a radius of 4 units.
Find the minimum value of y given that y = 2x^2+ 6x + 2.
Answer:
-5/2
Step-by-step explanation:
x= -b/2a
x= -6/4= -3/2
y=2×(9/4)+6(-3/2)+2= -5/2
Drag a vertex of the triangle to change its shape.
Double-click or double-tap a vertex or side to prevent it from
changing
Problem: Construct a triangle with side lengths 6, 6,
and 6.
What are the angle measures for the triangle?
C = 41°
9.2
7.0
30, 60, 90
45, 45, 90
A = 49°
6.0 B = 90°
60, 60, 60
-р
10, 80, 90
Answer:
60,60,60
Step-by-step explanation:
The angle measures for the triangle is 60, 60 and 60.
What is Triangle?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
We have,
The measure of three sides are 6 ,6 and 6.
Now, we know a triangle whose three sides are equal is called as Equilateral Triangle.
Also, three angles are Equal.
Using Angle Sum property
x + x + x = 180
3x= 180
x= 60
Thus, the measure of three angles are 60, 60 and 60.
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a
39. Algebra A rectangle has a base of x units. The area is (4x2-2x)
square units. What is the height of the rectangle in terms of x?
A (4 - x) units
(x-2) units
B (4x3 - 2x2) units
D (4x - 2) units
-
-
The area of the rectangle is the product of its base and height
The height of the rectangle is 4x - 2 units
How to determine the height?The given parameters are:
Area = 4x^2 - 2x
Base = x
The area of the rectangle is:
Area = Base * Height
This gives
4x^2 - 2x = x * Height
Divide through by x
4x - 2 = Height
Rewrite as:
Height = 4x - 2
Hence, the height of the rectangle is 4x - 2 units
Read more about areas at:
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$7,000 compounded semiannually at a rate of 10% for 21 years
Answer:
$ 54 331.11
Step-by-step explanation:
21 years semi-annually is 42 periods
interest rate per period = 10% /2 = .10 /2 = .05
7000 (1 + .05)^42 =
What do I do with my hands
Answer:
eat them
Step-by-step explanation:
OAB is a triangle
OA = 4a and OB = 5b
M is the midpoint of OB
AN:NB = 2:3
Find OP:PN
Answer:
5:2
Step-by-step explanation:
ON = OA + AN
AN = 2/5AB
AB = 5b-4a
AN = 2b - 8/5a
ON = 4a - 8/5a +2b
ON = 12/5a+2b
OP = k(12/5a+2b)
OP = OA + AP
AP = x(AM)
AM = 5/2b-4a
OP=4a-4ax+5/2bx
OP=4a-4ax+5/2bx and OP=12/5ak+2bk
Coefficients of A
4-4x=12/5k
k=(20-20x)/12
Coefficients of B
5/2x=2k
k=5/4x
(20-20x)/12 =5/4x
20=35x
x=4/7
k=5/4 * 4/7 = 5/7
OP=k(ON)
OP = 5/7
PN = 2/7
OP:PN = 5:2
I figured it out after posting the question, typing from a different account. I hope this helps somebody.
list the members of 2 greater than or equal to 12
help me with this pls
The figure below is made of 2 rectangular prisms.
What is the volume of this figure?
Answer:
1800.Step-by-step explanation:
First: split the figure into 2:
(5 * 9 * 2)*(5 * 4)Then, solve the first:
5 * 9 * 2= (5 * 9) * 2= 45 * 2= 90Next, solve the second part:
5 * 4= 20Finally, multiply both parts:
90 * 20= 1800.Answer is 1800.
Which problem solving strategy would be best to solve this problem?
Avelina earned half as much money as Gus. If Gus earned $125.00, how much money did Avelina earn? Ples help me some one
Answer:
$62.50
Step-by-step explanation:
Can you please help me with this question
Tell me if it is w x y or x
Determine whether the question is a statistical question.
a
How many pages are in the favorite books of students your age?
Answer:
1-100 pages are in the favorite books of my age
in problem 53-56, write a system of linear inequalities for the given graph
Answer:
hombre by. h God j inc. hchhhi