Answer:
[tex]=3b+3[/tex]
Step-by-step explanation:
[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex], [tex]=7b-2-4b+5[/tex].
[tex]\mathrm{Group\:like\:terms}[/tex]:
[tex]=7b-4b-2+5[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:7b-4b=3b[/tex]
[tex]=3b-2+5[/tex]
[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-2+5=3[/tex]
[tex]=3b+3[/tex]
Animal populations are not capable of unrestricted growth because of limited habitat and food supplies. Under such conditions the population follows a logistic growth model: P(t) = d 1 + ke−ct where c, d, and k are positive constants. For a certain fish population in a small pond d = 1200, k = 11, c = 0.2, and t is measured in years. The fish were introduced into the pond at time t = 0. (a) How many fish were originally put in the pond? 100 Correct: Your answer is correct. fish (b) Find the population after 10, 20, and 30 years. (Round your answers to the nearest whole number.) 10 years 1 Changed: Your submitted answer was incorrect. Your current answer has not been submitted. fish 20 years fish 30 years fish (c) Evaluate P(t) for large values of t. What value does the population approach as t → [infinity]? P(t) =
Answer:
(a) 100 fishes
(b) t = 10: 483 fishes
t = 20: 999 fishes
t = 30: 1168 fishes
(c)
[tex]P(\infty) = 1200[/tex]
Step-by-step explanation:
Given
[tex]P(t) =\frac{d}{1+ke^-{ct}}[/tex]
[tex]d = 1200\\k = 11\\c=0.2[/tex]
Solving (a): Fishes at t = 0
This gives:
[tex]P(0) =\frac{1200}{1+11*e^-{0.2*0}}[/tex]
[tex]P(0) =\frac{1200}{1+11*e^-{0}}[/tex]
[tex]P(0) =\frac{1200}{1+11*1}[/tex]
[tex]P(0) =\frac{1200}{1+11}[/tex]
[tex]P(0) =\frac{1200}{12}[/tex]
[tex]P(0) = 100[/tex]
Solving (a): Fishes at t = 10, 20, 30
[tex]t = 10[/tex]
[tex]P(10) =\frac{1200}{1+11*e^-{0.2*10}} =\frac{1200}{1+11*e^-{2}}\\\\P(10) =\frac{1200}{1+11*0.135}=\frac{1200}{2.485}\\\\P(10) =483[/tex]
[tex]t = 20[/tex]
[tex]P(20) =\frac{1200}{1+11*e^-{0.2*20}} =\frac{1200}{1+11*e^-{4}}\\\\P(20) =\frac{1200}{1+11*0.0183}=\frac{1200}{1.2013}\\\\P(20) =999[/tex]
[tex]t = 30[/tex]
[tex]P(30) =\frac{1200}{1+11*e^-{0.2*30}} =\frac{1200}{1+11*e^-{6}}\\\\P(30) =\frac{1200}{1+11*0.00247}=\frac{1200}{1.0273}\\\\P(30) =1168[/tex]
Solving (c): [tex]\lim_{t \to \infty} P(t)[/tex]
In (b) above.
Notice that as t increases from 10 to 20 to 30, the values of [tex]e^{-ct}[/tex] decreases
This implies that:
[tex]{t \to \infty} = {e^{-ct} \to 0}[/tex]
So:
The value of P(t) for large values is:
[tex]P(\infty) = \frac{1200}{1 + 11 * 0}[/tex]
[tex]P(\infty) = \frac{1200}{1 + 0}[/tex]
[tex]P(\infty) = \frac{1200}{1}[/tex]
[tex]P(\infty) = 1200[/tex]
1) rotation 180° about the origin
Answer:
Q (0,1) H (3,5) J (5,3)
Step-by-step explanation:
Anytime you rotate a shape around the origin, the numbers in the coordinates become their opposites.
(x,y) becomes (-x,-y).
So, (0, -1) becomes (0,1).
(-3,-5) becomes (3,5).
And, (-5, -3) becomes (5,3).
Answer: Here you go, hope this helps.
Step-by-step explanation:
match each term with its definition,
Answer:
Population-1
Sample- 2
Simulation-4
biased sample- 3
Find 0% of 120:
Find 100% of 120:
Find 50% of 120:
Find 25% of 120:
Find 75% of 120:
Answer:
Find 0% of 120: 0
Find 100% of 120: 120
Find 50% of 120: 60
Find 25% of 120: 30
Find 75% of 120: 90
Step-by-step explanation:
PLEASE HELP ME GIVING LOTS OF POINTS AND BRAINLIEST TO THE FIRST LEGIT ANSWER!!!
The graph shows the relationship between the number of months different students practiced boxing and the number of matches they won:
The title of the graph is Boxing Matches. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 21 at increments of 3, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 3 and 1, 6 and 2, 7 and 3, 9 and 4, 11 and 5, 13 and 6, 14 and 7, 16 and 8, 17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 4 and 2, 7.1 and 4, 11 and 6, 13.5 and 8, 17 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)
Answer: Part A: The y-intercept of the line of best fit is about 4. This represents the starting point, or figure 0.
Part B: Using the line, you could determine that the slope is about 3/2, or 1.5, and the 13th month would be at about 24 matches.
Equation: y=4x+1.5 Hope this helped plz make brainly
Answer:
The guy above is right but a few tips
Step-by-step explanation:
Dont copy paste it in. Otherwise it wont count due to teachers
who is the best fnf mod character mine is sarvenette and ruv
Answer:
same my fav
Step-by-step explanation:
have a good day!!
Answer:Kapil or Matt
Step-by-step explanation: I would say Kapil better because of the DDR pad and his last Song Beathoven replicates beethoven virus. Matt Wiik 2 is great but can't beat
A triangle has two sides of length 17 and 4. What is the smallest possible whole-number
length for the third side?
Answer:
14
Step-by-step explanation:
because the sum of the 2 smaller side have to add up to greater than the larger side
x+4 > 17
x > 13
14 is the next biggest whole number
A computer is priced at $1575, but is on sale for 15% off. What is the price of the computer
after the discount and 7.5% sales tax?
Answer:
$1439.16
Step-by-step explanation:
1.) 15% of 1575
1575 x 0.15 = 236.25
1575 - 236.25 = 1338.75
So 15% of $1575 = $1338.75
2.) $1338.75 with sales tax if 7.5%
1338.75 x 0.075 = 100.40625 rounded to the nearest hundredths place is 100.41
1338.75 + 100.41 = 1439.16
so you answer is $1439.16
true or false: If a < b then a + c < b + c
Answer:
true
Step-by-step explanation:
Find the midpoint of the segment with endpoints of (1,-6) and (-3, 4) and
enter its coordinates as an ordered pair. If necessary, express coordinates as
fractions, using the slash mark ( / ) for the fraction bar.
Answer:
Mid point = (–1 , –1)
Step-by-step explanation:
From the question given above, the following data were obtained:
(1, –6)
(–3, 4)
x₁ = 1
x₂ = –3
y₁ = –6
y₂ = 4
Mid point = (X, Y)
X = (x₁ + x₂)/2
X = (1 + –3)/2
X = (1 – 3)/2
X = –2/2
X = –1
Y = (y₁ + y₂)/2
Y = (–6 + 4)/2
Y = –2/2
Y = –1
Mid point = (X, Y)
Mid point = (–1 , –1)
Find the lateral area of the cylinder to the nearest tenth.
Answer:
Lateral area of the cylinder = 62.85 cm²
Step-by-step explanation:
Given:
Diameter of cylinder = 10 cm
Radius of cylinder = 10 / 2 = 5 cm
Height of cylinder = 2 cm
Find:
Lateral area of the cylinder
Computation:
Lateral area of the cylinder = 2πrh
Lateral area of the cylinder = 2(22/7)(5)(2)
Lateral area of the cylinder = 2(22/7)(10)
Lateral area of the cylinder = (440/7)
Lateral area of the cylinder = 62.85 cm²
A jar has 6 red marbles and 4 blue marbles. If 2 marbles are chosen, one at a time without replacement, what is the probability that both marbles will be red
1/3 Probability both are red
red picked first:
6/10
red picked second:
5/9 (9 as first red marble not replaced so 5 red marbles remaining and 4 blue marbles still)
6/10 * 5/10 = 1/3
Hope that helps!!
can someone help me plss
I need help fast please answer!
Answer:
B
Step-by-step explanation:
Help ASAP????? Please
Answer:
C. (-5,-1)
E. (10,2)
F. (15,3)
------------------
hope it helps...
have a great day!!
Is Urgent ......The satisfaction that consumers get from their purchases is known as what?
A. Materialism
B. Marginalism
C. Subjectivity
D. Utility
Answer: D
Step-by-step explanation:
Fits the definition
Hows your day i just want to know: Who are your top 3 favorite rappers? And give me your or one of your favorite songs by each one?
Answer:
um mm
Brent fayiyz
all his songs
and ummm
Given
mZLON is a straight angle.
Definitely I need help I’ll give brainless ^^
Answer:
m∠LOM=48°
Step-by-step explanation:
∠LON=180° AND ∠LON=∠LOM+∠MON
⇒ 7x-92+6x+12=180
⇒13x=180+92-12
⇒x=20
m∠LOM=7x-92°=140°-92°=48°
55 points, please help me with this problem (please don't send a link)
Answer:
I cant see the picture sorry
Step-by-step explanation:
Answer:
Part A: 4.50x+6≤50
Part B: x ≤ 9.7778
Step-by-step explanation:
I don't know if u want it rounded which is 10
When solving the equation below, what step do you need to take to get the variable by itself?
x/−2=19
a.divide by -2
b.add -2
c.multiply by -2
d.multiply by 2
Answer:
Add -2
Explanation:
X / -2 = 19
19 + 2
= 21
x = 21
Sorry but my answer got deleted because someone reported it trying to get me banned can you please reward me branliest Again
What is the quotient of 1476 and 12
What is the area of sector?
Answer:
a
Step-by-step explanation:
since 90 degrees is 1/4 of a circle, the area of the sector is 5²pi/4 = 25/4pi = 19.63
What is the Volume of the cylinder? (no links pls!)
lol the answer is 3
please help this is Due!!
Answer:
c=6d
Step-by-step explanation:
PLEASE HELP ME... I WILL GIVE BRAINLIEST TO CORRECT PERSON. ALSO THIS IS FOR EDGE
Answer:
C
Step-by-step explanation:
The equation for the dotted line is y=(-1/2)x, so therefore y<(-1/2)x must be the area under the dotted line.
The equation for the solid line is y=2x+3, so therefore y≥2x+3 must be the area above the solid line.
The section that is both under the dotted line and above the solid line is C.
Which function represents a quantity growing exponentially?
A y = 2(0.5)^x
B y = 0.5(2)^x
C y = 2(0.5)^2X
D y = (1/5)^x
Answer: [tex]ay=2(0.5^{x})[/tex]
Step-by-step explanation:
A y = 2(0.5)^x
Will give 100 points and Brainliest!
Take a factor out of the sqaure root: √3y^2, where y<0
Answer:
The solution in the photo aobve I think that is true
Step-by-step explanation:
I hope that is useful for you :)
Al reunir terminos semejantes y resolver
-2x+3y²-5z+6x²-3y²+5y² +4x²
Se obtiene como resultado?
Answer:
1 0 ^ 2 + 5 ^ 2 − 2− 5
Step-by-step explanation:
Use the equation to answer the question . x + 9 + 2x = 3x + 11 How many solutions does the equation have? ОА. Ano solutions O solution c two solutions O infinitely many solutions
Answer:
No solution
Step-by-step explanation:
Add x and 2x.
3x+9=3x+11
Move all terms containing x to the left side of the equation.
Subtract 3x from both sides of the equation.
3x+9−3x=11
Combine the opposite terms in
3x+9−3x.
Subtract 3x from 3x.
0+9=11
Add 0 and 9.
9=11
Since 9≠11, there are no solutions.
Hope it is helpful....Answer:
Answer:
No solution
Step-by-step explanation:
Add x and 2x.
3x+9=3x+11
Move all terms containing x to the left side of the equation.
Subtract 3x from both sides of the equation.
3x+9−3x=11
Combine the opposite terms in
3x+9−3x.
Subtract 3x from 3x.
0+9=11
Add 0 and 9.
9=11
Since 9≠11, there are no solutions.
Hope it is helpful....
diavinad8 and 7 more users found this answer helpful
THANKS
5
5.0
(2 votes)
56
Step-by-step explanation:
♪☼►♀☺♂dhdbcbhcucbhbhebdhhbdhhbdhbxsecbhjeegrtbnejffrfbhbwbjdifbvdhdhfgefbh4rh73e72erhf7fy3ueuyyr7y4reheueufhuuheuirjriuhefhfifhuifuhuhufhuehufyhefuewhuweiuuwueuuuhfuhwufuhfuhufhuefhfhuff
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i am pro
Tammy rents a storage shed. The storage shed is in the shape of a rectangular prism with measurements as shown. A rectangular prism has a length of 10 feet, height of 9 feet and a width of 9 feet. Select the phrase and number from the drop-down menus to correctly complete each sentence. Tammy can find the volume of the storage unit by . To completely fill the storage shed, Tammy would need unit boxes that each measure 1 cubic foot.
Answer:
finding the product of 9,10,and 9
810
Step-by-step explanation:
