By using the exponential growth equation, we will see that the population triples after 5.83 months.
How many months will take for the farm to triple in size?We know that the initial population of bunnies is 820, and it grows at a rate of 20.75% per month, then we can write the exponential growth as:
P(t) = 820*(1 + 20.75%/100%)^t
P(t) = 820*(1 + 0.2075)^t
Where t is the time in months.
Then we need to find the value of t such that the population triples, so we actually need to solve:
(1 + 0.2075)^t = 3
If we apply the natural logarithm to both sides, we get:
ln((1 + 0.2075)^t) = ln(3)
t*ln(1.2075) = ln(3)
t = ln(3)/ln(1.2075) = 5.83 months.
So, after 5.84 months, the population of bunnies will triple.
If you want to learn more about exponential functions, you can read:
https://brainly.com/question/11464095
The radius of a circle is 12.7 ft. Find the circumference
to
the
nearest
tenth
to the nearest tenth.
Answer:
79.8
Step-by-step explanation:
Fistan is comparing two number pattern
the information below.
• Both patterns start with the number 1.
• Pattern A follows the rule “add 3”.
• Pattern B follows the rule “add 4".
ow do each of the first 5 terms in Pattern A
mpare to the first 5 terms in Pattern B? As
et of your answer, list the first 5 terms of each
tern.
Answer:
See below.
Step-by-step explanation:
Each term increases by 3 for A and 4 for B. Either do this calculation manually on a table, or use a spreadsheet to calculate all terms quickly.
The ten first terms for A and B are shown.
A B Difference
1 1 1 0
2 4 5 1
3 7 9 2
4 10 13 3
5 13 17 4
6 16 21 5
7 19 25 6
8 22 29 7
9 25 33 8
10 28 37 9
We can see that the difference between the two patterns is that B increases more rapidly until there is a difference of 9 by the 10th term.
Find the length of the third side. If necessary, round to the nearest tenth
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's use Pythagoras theorem !
[tex]\qquad \sf \dashrightarrow \:h {}^{2} = p {}^{2} + b {}^{2} [/tex]
where,
h = hypotenuse = unknown b = base = 11 p = perpendicular = 12[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 12{}^{2} + 11 {}^{2} [/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 144{}^{} + 121[/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 265[/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{} = \sqrt{265}[/tex]
[tex]\qquad \tt\dashrightarrow \:h {}^{} \approx16.3[/tex]
the radius of circle r is 7 inches and the diameter of circle k is 14 inches. what is the relationship between circle r and circle k?
Answer:
They are the same size.
Step-by-step explanation:
Radius is one half the diameter meaning our diameter is twice as large as our radius. So (diameter)/2 = radius or 2*radius= diameter. So since the radius of circle r is 7 inches, that means its diameter is 14 inches. If the diameter of circle k is 14 inches, that means its radius is 7 inches.
Can someone please help me? :(
Answer:
A
Step-by-step explanation:
4ft*4 1/3ft*3 1/3ft = 57 7/9 ft3
Select all the decimals that round to 40 when they are rounded to the tens place.
a) 42.59
b) 37.155
c) 45.78
d) 45.167
e) 34.989
Answer:
A. 42.59
B. 37.155
Step-by-step explanation:
I used a round calculator by the way
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
To use the Pythagorean theorem:
⇒ define Pythagorean theorem
(look at the diagram attached for a better understanding)
Information Given:
length of the two legs: 5, 9Information Wanted:
length of hypotenuseSolve:
[tex]5^2+9^2=hypotenuse^2\\hypotenuse^2 = 5^2 +9^2 = 25 + 81 = 106\\hypotenuse = 10.29[/tex]
Rounded to nearest tenth:
Answer: Length of hypotenuse is 10.3
Hope that helps!
Evaluate the expression 900x3m for m = -1
Answer:
-2700
Step-by-step explanation:
3×-1=-3
900×-3=-2700
Solve for x:
A. 37
B. 19.25
C. 10.375
D. 41
(4x-6)
71
Answer:
Answer = B.19.25
Step-by-step explanation:
(4x-6)=71
4x=71+6
4x=77
x=77÷4
x=19.25
A rectangle with length of 4/9 foot and a width of 2 feet
Answer:
area of rect = 8/9
Step-by-step explanation:
Area of rect.= (L*W)
Area = (4/9) (2)
Area = (4/9) (2/1)
Area = 8/9
Answer:
8/9 feet
Step-by-step explanation:
Area=l*w
4/9ft*2ft
4/9*2/1=8/9ft
5,5/2,5/4 find the ninth term
Answer:
T9 = 5/256
Step-by-step explanation:
This is a geometric progressionYou can tell it by looking at the pattern of the progression whether each term +- or ×÷.
From the question,
First term, a = 5
Common ratio, r = (5/2)/5 = ½
n = 9
Using the formula for nth term of a geometric progression,
[tex] t_{n} = a {r}^{n - 1} [/tex]
T9 = 5(½)^(9-1)
= 5/256
Elizabeth is five-sixths the age of her
sister Nancy. If Elizabeth is ten years
old, how old is Nancy? Write an
equation
to calculate Nancy's age.
Answer: Nancy is 12
Nancy = 5/6N =10
Step-by-step explanation:
Elizabeth = 5/6N
5/6N = 10
Divide both sides by 5/6
ing a Reflection in the
Coordinate Plane continued
Triangle XYZ is reflected across the y-axis to form
figure
help
Answer:
equals 1864 and this head and this talk
A collection of nickels and quarters in a jar is worth
$8.05. If there are a total of 45 nickels and quarters
in the jar, how many nickels are there?
Answer:
16 nickels
Step-by-step explanation:
Let "n" be the number of nickels
Let "q" be the number of quarters
We know that,
1 nickel = $ 0.05 or 5 cent
1 quarter = $ 0.25 or 25 cent
Anna has a collection of 45 nickels and quarters
Therefore,
n + q = 45
q = 45 - n --------- eqn 1
Anna has a collection of 45 nickels and quarters worth $8.05
$ 8.05 is worth 805 cents
Thus we frame a equation as:
number of nickels x 5 cents + number of quarters x 25 cents = 805
5n + 25q = 805 ----- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 2
5n + 25(45 - n) = 805
5n + 1125 - 25n = 805
20n = 1125 - 805
20n = 320
n = 16
Then there are 16 Nickels
FUN QUESTIONS OF MATHETICS FOR BOREDISH PEOPLE:
3x3?
4x5?
8x9?
7x3?
Answer: 3x3=9, 4x5=20, 8x9=72, and 7x3=21!
Step-by-step explanation:
Alice has 2290 dollars, Cindy has 987 more than Alice
What is the amount of money combined with Alice and Cindy?
Answer: 3,277
Step-by-step explanation: all you have to do is add 2290 and 987 toghther
Answer:
5567 $.
Step-by-step explanation:
The amount of money Alice has = 2290 $.
Cindy = Amount of money Alice has + 987
= 2290 + 987
= 3,277.
Now,
The amount of money combined = 2290 + 3277
= 5567 $.
Describe the outlier boundaries for the data set.
16, 18, 19, 16, 20, 18, 24, 22
Answer:
Any value less than 16 or greater than 24 is an outlier. :)
Step-by-step explanation:
In the data set, the smallest value is 16 and the largest value is 24 so that is why I think any value less than 16 or greater than 24 is an outlier. :)
Have an amazing day!!
Please rate and mark brainliest!!
Please help! No links no files :(
Answer:
Step-by-step explanation:
Area of a triangle:
base = 4 units
height = 3 units
[tex]\boxed{\text{Area of triangle = $\dfrac{1}{2}*base*height$}}[/tex]
[tex]\sf = \dfrac{1}{2}*4*3\\\\ = 2*3\\\\ = 6 \ square \ units[/tex]
area of regular polygons
Multiplying a number by 3 is equal to sum of the number and 5.
Answer:
this makes no sense
Step-by-step explanation:
The number that when multiplied by 3, equals the sum of the number and 5 is 2.5.
How can we solve for 2.5?First assume that the number we are looking for is x.
One side of the equation will be:
= 3 × x
= 3x
The other side of the equation would be:
= 5 + x
Equating these numbers gives:
3x = 5+ x
3x - x = 5
2x = 5
x = 5/ 2
x = 2.5
In conclusion, the number is 2.5.
Find out more on operations involving solving for numbers at https://brainly.com/question/18897826.
Taharka, Lamari and Keyon are sharing the cost of a football. Taharka will pay 0.15 of the cost. Lamari
will pay 12 of the cost. Keyon will pay the rest. If the football costs $16, how much will they each pay?
Answer:
the answer should be 3.85 that they pay each
Step-by-step explanation:
Because if you add 12.15 (Taharka + Lamari) and 3.85, it equals 16. The 3.85 comes from 16.00 - 12.15
For every 2 sheep in the field on monday, how many chickens were in the field?
Answer:
This needs more context im sorry
Step-by-step explanation:
What is the surface area of this triangular pyramid?
Area of one face = 1/2 x base x height = 1/2 x 5 x 3 = 7.5 square inches.
there are 3 of those faces : 7.5 x 3 = 22.5 square inches.
the bottom triangle = 1/2 x 5 x 4.3 = 10.75 square inches
total surface area = 22.5 + 10.75 = 33.25 square inches
Find the lateral surface area of the cylinder. use 3.14 for π, and round your answer to the nearest hundredth. refer to your staar 8th grade math reference sheet for the appropriate formula. question 10 options: 376.99 cm2 362.16 cm2 367.59 cm2 354.18 cm2
The lateral surface area of the given cylinder of radius 10cm and height of 5cm is 314cm sq.
What is the lateral surface area of the cylinder?For a right circular cylinder of radius r and height h, the lateral surface area is the product of diameter to the height and pie.
The lateral surface area of the cylinder = 2πrh
Let assume Radius, r = 10
Height, h = 5.
The lateral surface area of the cylinder = 2πrh
= 2 × 3.14 × 10 × 5
= 314cm sq.
Read more about cylinders;
brainly.com/question/9554871
How much will you lose
Answer:
i don't know how much will l loose
May you help me please I am stressed and struggling
Answer:
2x+4+3x+4
5x+8
2(2x+4)+x
Step-by-step explanation:
• 2x+4+3x+4 would be equal to 5x+8
because you will group like terms: 2x+ 3x=5x and 4+4=
• 2(2x+4)+x
multiple what's outside the bracket by what's inside .
4x+8+x
4x+x =5x and 8
sooo 5x+ 8
Hope this helps
in need help in this
Answer:
Vertex form is
[tex]a(x - h) {}^{2} + k = y[/tex]
where (h,k) is the vertex
So our vertex form is
[tex]a(x - 3) {}^{2} + 5 = y[/tex]
It passes through (6,0) so we have
[tex]a(6 - 3) {}^{2} + 5 = 0[/tex]
Solve for a.
[tex]a(3) {}^{2} + 5 = 0[/tex]
[tex]a(9) = - 5[/tex]
[tex]a = \frac{ - 5}{9} [/tex]
So our equation is
[tex] - \frac{5}{9} (x - 3) {}^{2} + 5[/tex]
How can you add eight fours together so the total adds up to 500?
Answer:
you can try Multiplying 8 over 1 and 4 over1
Is -\dfrac{59}{3}+\dfrac{4}{63}−
3
59
+
63
4
minus, start fraction, 59, divided by, 3, end fraction, plus, start fraction, 4, divided by, 63, end fraction rational or irrational?
Answer:
it is rational
Step-by-step explanation:
trust me
How many 5-digit numbers contain at least one 3?
Answer:
37,512
Step-by-step explanation:
Total # of 5 -digit numbers =9×104=90,000
Total # of 5 -digit numbers that do not contain 3=8×94=52,488
Total # of 5 -digit numbers that contain at least one 3=90,000−52,488=37,512
