Answer:
The horizontal asymptote represents the terminal population of the trout.
Step-by-step explanation:
The horizontal asymptote of the given rational function is the limit of [tex]p(t)[/tex] when [tex]t \to +\infty[/tex]. That is:
[tex]\lim_{t \to \infty} p(t) = \lim_{t \to \infty} \frac{150\cdot t + 100}{0.04\cdot t + 1}[/tex] (1)
Then, we apply the concept of limits for rational-polynomial functions:
[tex]\lim_{t \to \infty} \frac{\frac{150\cdot t}{t} + \frac{100}{t}}{\frac{0.04\cdot t}{t} + \frac{1}{t} }[/tex]
[tex]\lim_{t \to \infty} p(t) = 3750[/tex]
The horizontal asymptote represents the terminal population of the trout. In this case, the terminal population of the trout is 3750.
GIVING OUT BRAINLIEST HELP ME PLSSS
Answer:
0.7880
Step-by-step explanation:
PLEASE HELP ME ANSWER THESE QUESTIONS
Step-by-step explanation:
get a coin and toss it 40 times.....then input your answers....
dont forget to make a prediction about the outcome first
Complete the table of function values.
f(x) = −4x + 3
x
f(x)
−1
0
1
2
Answer:
the answer will be - 9
Step-by-step explanation:
because 4plus 3 is 7 and minus one is 6 and then plus one is 7 and then plus the 2 and the ans will be x = -9
• Javon bought three pencils at a store for $y each. Laila bought four of the same kind
of pencil in another store for $3 more per pencil than Javon did. How much did Javon
pay for his pencils? How much did Laila pay for her four pencils?
Answer:
Javon spent $18 and Laila bought $36
Step-by-step explanation:
Ahm. I don't really know what $y is so i guess it's $6 so
6 x 3
= $18
Laila
6 x 4
= 24 + 3 + 3 + 3 + 3
= 36
$36
THank you ^^
ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°.
AB =
cm
Answer:
48 ANS.
MAY IT HELPED U
A car rental company charges an initial fee plus a constant fee per kilometer driven.
The table compares the total distance driven on the trip (in kilometers) and the price of the rental (in dollars).
Distance (kilometers) Price (dollars)
105 183
140 204
175 225
What is the company's initial fee?
Answer:
$120
Step-by-step explanation:
constant fee = (204-183) /(140-105)
= 21/35 = $0.6 per km
so, initial fee =
183 - (105 × 0.6)
= 183 - 63
= 120
Answer:
120
Step-by-step explanation:
trust me.
angle psr measures 99 degrees what is the measure of psq in degrees
The roots of the equation x2 + 2x + 5 = 0 are
What is the greatest common
factor of 8x and 4y?
The greatest common factor of 8x and 4y is given by;
GCF = 2.
The greatest common factor(GCF) of two numbers is simply the highest factor that is common to the 2 numbers.
Let us list the factors of both numbers.
Factors of 8x = 1, 2, 4, 8, x
Factors of 4y = 1, 2, 4, y
Now, looking at the factors of both 8x and 4y, we can see that the only common factor between both of them is 2.
Thus, we can conclude that the greatest common factor(GCF) of 8x and 4y is 2.
Read more at; https://brainly.com/question/219464
simplify 1/3+√5-1/3-√5p
Answer:
Sqaure root 5 - sqaure root 5 p
Step-by-step explanation:
See image below:)
FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
Mandalee went to a fruit stand with $20 to spend on berries. She bought 1 pint of blueberries for $3.50, and she bought raspberries for $4.00 per pint. If x represents the number of pints of raspberries, which inequality represents the maximum number of pints of raspberries she can buy without spending more than $20? Assume all prices include tax.
A: 3.50x+4.00≤20
B: 3.50+4.00x≥20
C: 3.50x+4.00x<20
D: 3.50+4.00x≤20
Answer: D. 3.50+4.00x≤20
Step-by-step explanation:
According to the question,
Total amount spent = (price of a pint of blueberries)+ (Price per pint of raspderries)(number of pints of raspberries)
Total amount he can spend must be less than or equal to $20
x=number of pints of raspberries
As per given,
[tex]3.50+4.00x\leq20[/tex], required equation
Hence, D is the correct option
What is the multiplicative inverse of ?
Answer:
MULTIPLICATIVE INVERSE OF X WILL BE 1/X
Step-by-step explanation:
PLEASE HELP ASAP
Write the equation that represents the trigonometric graph
Answer(s):
[tex]\displaystyle y = 300sin\:(\frac{\pi}{8}x + \frac{\pi}{2}) + 400 \\ y = 300cos\:\frac{\pi}{8}x + 400[/tex]
Step-by-step explanation:
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 400 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-4} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{\pi}{8}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{16} \hookrightarrow \frac{2}{\frac{\pi}{8}}\pi \\ Amplitude \hookrightarrow 300[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 400 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{16} \hookrightarrow \frac{2}{\frac{\pi}{8}}\pi \\ Amplitude \hookrightarrow 300[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 300sin\:\frac{\pi}{8}x + 400,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle 4\:units[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle 4\:units,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-4} = \frac{-\frac{\pi}{2}}{\frac{\pi}{8}}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 300sin\:(\frac{\pi}{8}x + \frac{\pi}{2}) + 400.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [36, 400],[/tex]from there to [tex]\displaystyle [20, 400],[/tex]they are obviously [tex]\displaystyle 16\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 16.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 400,[/tex]in which each crest is extended three hundred units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
PLZ Help. I have tried so many ways. I will give Brainiest! 30 points for the correct answer! Help!
Answer:
1=(w=6,C=20.80
2=(W=2,C=27.05)
3=(w=11,C=14.25)
4=(w=15,C=11.05)
Step-by-step explanation:
Just do the work
0.55x15=8.25+2.80=11.05
1.10x6=6.6+14.20=20.8
11x0.65=7.15+7.10=14.25
Out of process of elimination, 2=(W=2,C=27.05)
Answer:
Below.
Step-by-step explanation:
The second option on the bottom matches the first of the top list.
This is how we check:
w = 6 and C = 20 .80
Plug these into the top equation:
C = 14.2 + 1.10w
20.80 = 14.2 + 6(1.10) = 14.20 + 6.60 = 20.80.
So that proves that we have the right answer.
The last one on the bottom matches the second on the top list.
The third option ion the bottom matches the third equation on the top
.
The first one on bottom matches the last one the top.
The last 3 are answered in exactly the same way as the first.
14 adults and 20 children attended a piano recital. If two people are selected to receive door prizes at the recital, what is the probability that both will be children?
Triple the sum of two and a number.
Answer: 3(2+x) or 3x+6
Step-by-step explanation:
Take this a step at a time
First is a sum of two and a number
set "a number" as x
sum of two and a number would be 2+x
triple it
3(2+x) or 3x+6
Answer:
3(x+2)
Step-by-step explanation:
Explanation:
The " sum of a number and 2
" means ADD them:
→ x+2
Triple that means multiply by
3
→ 3(x+2)
if 2 newspapers cost 3 dollars how much does 1 newspaper cost
Answer:
x = 1.50
Step-by-step explanation:
We can use a ratio to solve
2 papers 1 paper
------------- = --------------
3 dollars x dollars
Using cross products
2x = 3*1
2x=3
Divide by 2
2x/2 = 3/2
x = 1.50
Answer:
$1.50
Step-by-step explanation:
example;
2/3=1.50
Have a great day <3
Which figures always have right angles?
parallelogram
square
rectangle
trapezoid
9514 1404 393
Answer:
squarerectangleStep-by-step explanation:
A rectangle is a parallelogram that has right angles. A square is a rectangle that has adjacent sides the same length.
The figures that always have right angles are ...
square
rectangle
Answers ASAP please
Answer:
37.68 in^3
Step-by-step explanation:
given:
height = 3 in
diameter =4 in
radius =diameter/2
=4/2
=2 in
volume of a cylinder = πr^2h
=3.14 *(2)^2 *3
=3.14 *4 *3
=37.68 in.^3
Daniel has these test results public service 64% maths 14/25 English 13/20 and design 6/10 list the subjects in order from his best resort to his worst result show why you think this
Answer:
Daniel has these test results:
Step-by-step explanation:
I don't know
Answer:
grades in order from best to worst:
english
public service
math
design
compare percentages to arrive at answer
Step-by-step explanation:
public service = 64%
math = 14/25 (multiply numerator and denominator by 4 to get 56%)
english = 13/20 (multiply numerator and denominator by 5 to get 65%)
design = 6/20 which is 30%
determine the missing angle.
Answer:
the missing angle will be 140°
Answer: 140
Step-by-step explanation:
Plz help I’m suck on this question!!!!!!
Answer:
U = 1
V = -5
Step-by-step explanation:
U = -1 - (-2) = 1
V = -4 -1 = -5
Which expression is equivalent to the algebraic expression below -4(3x-5
Answer:
-12x+20.
Step-by-step explanation:
I got it by multiplying the bracketed numbers by the -4.
The sides of two cubes are in the ratio 2:5, what is the ratio of their volumes?
9514 1404 393
Answer:
8 : 125
Step-by-step explanation:
The volume is proportional to the cube of the side lengths. Hence, the ratio of volumes is proportional to the cube of the ratio of side lengths.
v1 : v2 = (2 : 5)^3 = 2^3 : 5^3 = 8 : 125
An element with mass 510 grams decays by 26.3% per minute. How much of the element is remaining after 7 minutes, to the nearest 10th of a gram?
Answer:
60.2 grams
Step-by-step explanation:
a = 510(1 - .263)⁷
a = 60.2341229517
rounded
a = 60.2 grams
Sara bought a 24-ounce can of tomato sauce for $8.40. What is the unit price per ounce?
Answer:
$0.35
Step-by-step explanation:
8.40/24 = $0.35
y
.
4
3
2
1-
2
-4
-3
-2
-1
1
2
3
4
-1
-2
-3
-4
What is the slope of the line?
Answer:
-1
Step-by-step explanation:
Slope is rise over run
graph us going up by 2 units and going to left by 2 units
[tex]\frac{2}{ - 2} \\ - 1[/tex]
Solve |4x – 3| = –1 Question 16 options: A) x = 4∕3 B) x = 4 C) No solutions D) x = –4 or x = –3
Answer:
No solution
Step-by-step explanation:
The statement is false for any value of x b/c the absolute value function is always positive or 0.
What is the solution to this inequality?
 x/9 + 7 ≥ 10
Answer:
x ≥ 27
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
x/9 + 7 ≥ 10
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 7 on both sides: x/9 ≥ 3[Multiplication Property of Equality] Multiply 9 on both sides: x ≥ 27someone help me on this plzzz!!
Answer:
y = (3/2)x + 2
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept (value of y when x is 0).
From the graph, we can see that the y intercept is 2 units. Also, the line passes through point (2, 5) and (-2, -1). Therefore the slope of the line is:
[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-5}{-2-2}=\frac{3}{2}[/tex]
Using the equation a straight line:
y = mx + b; substituting gives:
y = (3/2)x + 2