Answer:
[tex]2400 {in}^{3} [/tex]
When a biological researcher arrived on Wombat Island, there were about 1000 wombats on the island. Their population grew quickly. Estimated Wombat Population Year 1 2 3 4 5 Wombats 1000 2000 4000 8000 16,000 The researcher decided that the population growth followed a geometric sequence. He wrote the explicit formula an = 1000(2)n – 1 to model the growth, and used this formula to predict the populations for years 6, 10, and 50.
Answer:
Yes
Step-by-step explanation: The explicit formula used: An = 1000(2)n - 1 is the correct formula. This is modeled as exponential growth with a common ratio of 2; which is correct based on the data given in the table.
The predicted population for year 50 is approximately [tex]1.1259[/tex] x [tex]10^18[/tex] wombats.
To predict the populations for years 6, 10, and 50 using the given explicit formula an = [tex]1000(2)^n[/tex] – 1, we can substitute the respective values of n and calculate the population.
For year 6 (n = 6):
a6 = [tex]1000(2)^6[/tex] – 1
a6 = 1000(64) – 1
a6 = 64,000 – 1
a6 ≈ 63,999
The predicted population for year 6 is approximately 63,999 wombats.
For year 10 (n = 10):
a10 = [tex]1000(2)^ 10[/tex]
a10 = 1000(1,024) – 1
a10 = 1,024,000 – 1
a10 = 1,023,999
The predicted population for year 10 is 1,023,999 wombats.
For year 50 (n = 50):
a50 = [tex]1000(2)^50[/tex] – 1
a50 = 1000(1.1259 x 10¹⁵ ) – 1
a50 = 1.1259 x 10¹⁸ – 1
a50 ≈ 1.1259 x 10¹⁸
The predicted population for year 50 is approximately 1.1259 x 10^18 wombats.
To know more about geometric sequence. here
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Can someone please help mweeeeeee
Answer:
D
Step-by-step explanation:
180 degrees in a triangle
102+(x+6)+(x+15)=180
remove parenthesis and combine like terms
123+2x=180
subtract 123 from both sides
2x=57
divide
x=28.5
substitute x for its actual value
28.5+6
angle A= 34.5
28.5+15
angle B= 43.5
Can some one help me out my grades are bad
Answer:
Go to the bottom of that problem and click save for later
which statement is the best example of the chemical weathering of water
What is the best description of the relationship in the scatterplot below?
Chose 1 answer
A- positive linear association
B- negative linear association
C-Nonlinear association
D- no association
Answer:
a becuase it is just a so if you get that wroung dont blem me lol
Step-by-step explanation:
Answer:
A - Positive linear association
Step-by-step explanation:
You can see that the overall direction of the graph is going up, therefore, this graph has a postivie association.
A rectangle has a length of
381
and a width of 33 inches. Find the area of the rectangle. (2 points)
A rectangle is formed by placing two identical squares side by side. The area of the rectangle is 162 cm2
Answer:
a) The area of each square is 81 square centimeters.
b) The side length of the square is 9 centimeters.
c) The perimeter of the rectangle is 54 centimeters.
Step-by-step explanation:
Statement is incomplete. After some web research we conclude that the complete statement is the following:
A rectangle is formed by placing two identical squares side by side. The area of the rectangle is 162 square centimeters. Find:
a) The area of each square.
b) The side length of each square.
c) The perimeter of the rectangle.
a) The area of the each square is half the area of the rectangle. Hence, the area of each square is 81 square centimeters.
b) The area formula for squares ([tex]A[/tex]), in square centimeters, is:
[tex]A = l^{2}[/tex] (1)
Where [tex]l[/tex] is the side length of the square, in centimeters.
If we know that [tex]A = 81\,cm^{2}[/tex], then the side length of the square is:
[tex]l = \sqrt{A}[/tex]
[tex]l = \sqrt{81\,cm^{2}}[/tex]
[tex]l = 9\,cm[/tex]
The side length of the square is 9 centimeters.
c) The perimeter formula of the rectangle ([tex]p[/tex]), in centimeters, is presented below:
[tex]p = 6\cdot l[/tex]
[tex]p = 6\cdot (9\,cm)[/tex]
[tex]p = 54\,cm[/tex]
The perimeter of the rectangle is 54 centimeters.
Solve the following quadratic function
by utilizing the square root method.
y = 9x2 - 36
X =
= + [?]
Answer:
x=2 or -2
Step-by-step explanation:
You can refer to the photo I attached
if u subtract 12 from a number and multiply the result by 12 you get 18. what is the number
Answer:
27/2 is the value of the number.
Let the number be x.
According to the question,
12(x-12)=18
x-12=18/12
x-12=3/2
x=3/2+12
x=3/2+24/2
x=27/2
HOPE IT HELP :)
Answer:
13.5 27/2 13 (1/2) all the same
Step-by-step explanation:
(x-12)x12 = 18
12x-144 = 18
12x = 162
x = 162/12 = 27/2 = 13(1/2) = 13.5
Which of the following rational functions is graphed below?
simplify by using the law of indices:
y^a(b+c)×y^b(c-a)×y^c(a-b)
Answer:
[tex]y^{2ac}[/tex]
Step-by-step explanation:
Using the law if indices
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
Thus to simplify the expression add the 3 exponents
a(b + c) + b(c - a) + c(a - b) ← distribute parenthesis
= ab + ac + bc - ab + ac - bc ← collect like terms
= 2ac
Then the expression simplifies to
[tex]y^{2ac}[/tex]
Find the missing measure angle
Answer:
Step-by-step explanation:
x+90+90+78=360(sum of 4 angles is always 360 degree)
x+258=360
x=360-258
x=102
Answer:
[tex] {x}^{o} = {102}^{o} [/tex]
Step-by-step explanation:
Hint:
sum of angles = 360°
Simplify:
[tex] {x}^{o} + {78}^{o} + {90}^{o} + {90}^{o} = {360}^{o} \\ {x }^{o} + 258^{o} = {360}^{o} \\ {x}^{o} = {360}^{o} - {258}^{o} \\ {x}^{o} = {102}^{o} [/tex]
Hope it is helpful....please help!!!!!!!!!!
Answer:
Positive
Step-by-step explanation:
HELP DUE IN 10 MINS!
Which equation has the following: Center (-7, 12) and radius 3.
A. (x−7)2 +(y − 12)2 = 9
B. (x+7)2 + (y - 12)2 = 3
C. (x+7)2 +(y + 12)2 = 3
D. (x+7)2 +(y − 12)2 = 9
Answer:
D
Step-by-step explanation:
(x+7)²+(y-12)²=9
____________
Answer:
[tex]\text{D. }(x+7)^2+(y-12)^2=9[/tex]
Step-by-step explanation:
The equation of a circle with radius [tex]r[/tex] and center [tex](h, k)[/tex] is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
What is the measure of ZP
609
x 80°
F
40°
H
100
80
90°
40°
Answer:
100 degrees
Step-by-step explanation:
angle x is next to 80. the sum of angles that form a straight line = 180 degrees. So, 180-80 =100 degrees
pls help ill mark brainlist
2(5×2+2×2+2×5)
ans- 48cm²
Monique's swimming pool filter needs repair. She calls two companies for prices. The
Pool Boyz charge $70 for a service call and $40/h for labour. Kemikal Balance charge
$50 for a service call and $45/h for labour.
a) Write a linear equation for each company.
b) Find the solution to this linear system
Can I get a answer for all of it?
Answer:
R'=(-3,6)
Q'=(-3,-3)
S'=(7,6)
T'=(7,-3)
Answer:
see explanation
Step-by-step explanation:
A translation of 7 units right means adding 7 to the x- coordinate. The y- coordinate remains unchanged, then
Q (- 10, - 3 ) → Q' (- 10 + 7, - 3 ) → Q' (- 3, - 3 )
R (- 10, 6 ) → R' (- 10 + 7, 6 ) → R' (- 3, 6 )
S (0, 6 ) → S' (0 + 7, 6 ) → S' (7, 6 )
T (0, - 3 ) → T' (0 + 7, - 3 ) → T' (7, - 3 )
Rei is barricading a door to stop a horde of zombies. She stacks boxes of books on a table in front of the door. Each box weighs 30 kilograms, and the table with 8 boxes on top weighs a total of 310 kilograms.
The total weight W of the barricade in kilograms is a function of x, the number of boxes Rei stacks on the table.
Write the function's formula.
W =
Answer:
240?
Step-by-step explanation:
Find the measure of the missing angle.
Answer: a= ______
(NO FILES) IF YOU ANSWER YOU WILL BE MARKED BRAINLIEST :)
Answer:
a= 32
Step-by-step explanation:
Since "a" is a part of a supplementary angle (An angle that adds up to 180º)
What you would need to do is add 58º and 90º (90º because the right angle = 90)
so 58+90 = 148
Then you would subtract 148 from the total of the angle (Which is 180)
so 180 - 148 = 32, And that shows that a = 32
(P.S. THE BOTS THAT POST THE LINKS TO THE FILES ARE POSTING MALWARE AND VIRUSES, DO NOT DOWNLOAD ANYTHING FROM THEM THEY ARE VIRUSES. IF YOU HAVE DOWNLOADED ANYTHING, GET A RELIABLE ANTIVIRUS SOFTWARE AND SCAN YOUR COMPUTER)
find the value of x pls help
Find the value of that makes ADEFAXYZ.
18
24
E
5
8
6
D
F
X
Z
6x + 6
30
Answer:
x = 2/3
DF = 10
scale factor of ΔDEF to ΔXYX is 1:3
Step-by-step explanation:
DF corresponds to XZ and DE corresponds to XY so we can set up a proportion:
6x+6/30 = 8/24
simplify 8/24 to be 1/3
6x+6/30 = 1/3
cross-multiply:
3(6x+6) = 30
18x + 18 = 30
18x = 12
x = 12/18 or 2/3
The list below shows the number of train tickets sold each
week during an eight-week period.
2945, 4572, 3560, 3359, 4089, 2841, 3283,
4266
What is the range of the data?
Answer: The range is 1731
Step-by-step explanation: lowest number 4572- 2841 highest
At the end of January, Garrett had $176 in his
savings account. By the end of February, he
had $217. To the nearest percent, what is the
percent change in the amount of money in
Garrett's savings account?
Answer:
bank account cant give me 5 bank name
DEFG is an isosceles trapezoid with bases FE and
GD. DE = 5x -2, and FG = 4x + 2. Find FG.
Answer:
FG is 18 units
Step-by-step explanation:
if the trapezoid is isosceles then DE = GF so we can create this equation:
4x + 2 = 5x - 2
4x = 5x - 4
-x = -4
x = 4
FG = 4(4)+2 which is 18
Question 5:Solve for a Side
Find the missing side. Round to the nearest tenth.
For the first four days of a five day vacation, the mean temperature was 80 degrees. What must the temperature be on the fifth day in order for the mean temperature to be 82 degrees?
Answer:
The 5th day must be 90
Step-by-step explanation:
The first 4 days averaged out to 80
You can find their total just by multiplying by 4. That won't tell you the exact values, but it will tell you their total when you add the 4 of them together.
80*4 = 320
Now you need to add another day into the mix. Call it x
320 + x
Now there are 5 days, not 4, and the new total is 82.
(320 + x) / 5 = 82 Multiply both sides by 5
5*(320 + x) / 5 = 82 *5
320 + x = 410 Subtract 320
-320 -320
x = 90
I need help with this one could anyone help
Answer:
the formula to use is A
hope it helps
Help pleaseee?? Yuhh
Answer : Copy the question into brainly search bar and get youre answer.
The rest of the drawers are 3.5 by 1.25 by .75 ft.
what is the volume of these drawers?
Answer:
3.28125 cubic feet
Step-by-step explanation:
3.5 x 1.25 x 0.75 = 3.28125 cubic feet