Answers
Answer: Pi,0.3,2/3,
Step-by-step explanation:
Related Questions
The initial mass of a certain species of fish is million tons. The mass of fish, if left alone, would increase at a rate proportional to the mass, with a proportionality constant of /yr. However, commercial fishing removes fish mass at a constant rate of million tons per year. When will all the fish be gone? If the fishing rate is changed so that the mass of fish remains constant, what should that rate be?
Answers
The question is incomplete. Here is the complete question.
The initial mass of a certain species of fish is 7 millions tons. The mass of fish, if left alone, would increase at a rate proportional to the mass, with a proportionality constant of 2/yr. However, comercial fishing removes fish mass at a rate of 15 million tons per year.
(a) When will all fish be gone?
(b) If the fishing rate is changed so that the mass of fish remains constant, what should the rate be?
Answer: (a) t = 1.35 years.
(b) Rate = 14,000,000
Step-by-step explanation:
(a) Initial mass is [tex]m_{0}[/tex] = 7,000,000
Rate of increase and comercial fishing gives an equation of growth:
[tex]\frac{dm}{dt}=2m-15,000,000[/tex]
m' - 2m = - 15,000,000
This is an ordinary linear equation (ODE) of first order, of type:
y' + a(x)y = f(x)
where a(x) and f(x) are continuous.
To solve this type of linear equation, first calculate integrating factor, using:
[tex]u(x) = e^{\int\limits {a(x)} \, dx }[/tex]
In our case,
[tex]u(t) = e^{\int\limits {-2} \, dt }[/tex]
Solving:
[tex]u(t) = e^{-2t }[/tex]
The general solution of a ODE can be written as
[tex]y=\frac{1}{e^{u(x)}}[\int\ {u(x).f(x)} \, dx + c][/tex]
In our case:
[tex]m=\frac{1}{e^{-2t}}[\int\ {-2t.(-15)} \, dt + c][/tex]
Solving:
[tex]m=\frac{1}{e^{-2t}}[\frac{15}{2}e^{-2t}+c ][/tex]
To find constant c, use initial condition, i.e., m(0)=7,000,000:
[tex]7,000,000=\frac{1}{e^{-2.0}}[\frac{15}{2}e^{-2.0}+c ][/tex]
[tex]c=-500,000[/tex]
Then for the fish growth, general equation is:
[tex]m=7500,000-500,000e^{2t}[/tex]
When the fish is gone, means m = 0, then:
[tex]7500,000-500,000e^{2t}=0[/tex]
[tex]500,000e^{2t}=7500,000[/tex]
[tex]e^{2t}=15[/tex]
[tex]ln(e^{2t})=ln(15)[/tex]
[tex]t=\frac{ln(15)}{2}[/tex]
t = 1.35
It will take 1.35 years for the fish to be gone.
(b) For the mass to be constant, rate of growth must be zero:
[tex]\frac{dm}{dt}=0[/tex]
Suppose the changed fishing rate is k:
[tex]2m_{0}-k=0[/tex]
[tex]-k=-2.7,000,000[/tex]
k = 14,000,000
To remain constant, rate must be 14,000,000.
Answer:I think it’s 40 sorry if it’s wrong :/
Step-by-step explanation:
Which equation is true if s = -3
Answers
Answer:
3s + 22 = 13
Step-by-step explanation:
Determine the quail’s and pheasant’s speeds in miles per hour. Quail: 20yards in 2 1/2 minuts and pheasant’s : 200yards in 5/6 minuts.
Answers
A plane from Waco to Dallas travels 85 miles. It took the plane 30 minutes to complete the trip. What is the plane’s average speed to the nearest hundredths of a m/hr
Answers
Answer
the plane will travel 170 miles per hour because you double the amount it already went because you had to double the minutes. so the answer is 170
Step-by-step explanation:
The plane traveled 85 miles in 30 minutes.
1 hour is 60 minutes.
30 minutes x 2 = 60 minutes ( 1 hour)
85 miles x 2 = 170 miles in one hour
The speed is 170 miles per hour
Can someone teach me how to do this????
Answers
Answer:
x = 12
Step-by-step explanation:
For this problem it is important to note that the sum of the two unknown angles' measurements is equivalent to the given known angle measurement as implied by the drawing. With this in mind let's write our givens:
m<CGF = 10x - 10
m<HGC = 3x + 10
m<HGF = 156
So now let's form our equation to represent the drawing:
m<CGF + m<HGC = m<HGF
And now let's solve the equation to find the value of the x.
m<CGF + m<HGC = m<HGF
( 10x - 10 ) + ( 3x + 10 ) = 156
10x - 10 + 3x + 10 = 156
13x = 156
x = 12
Hence, our value for x is 12.
Cheers.
An unknown fraction is between 0 and 1. Which is true about the equivalent percent and decimal?
A. The percent and decimal are between 0 and 1
B. The percent and decimal are greater than 1 and less than 100
C. The percent is between 0 and 1, and the decimal is greater than 0 and less than 100,
D. The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.
Answers
Answer:
The answer is C.
Step-by-step explanation: The number between 0 and 1. Think of decimals as cents, 100 cents makes a whole. So the number will be greater than 0 but less than 100.
Answer:
Right answer is D.
Step-by-step explanation:
I just tried a couple of fractions like 3/4 =.75=75% 1/2=.5=0.5%
Then I got it right on test :)
What is the area of the bottom of a circular tank that is 100 ft. in diameter? Give
your answer in square feet.
Answers
7850 ft²
Step-by-step explanation:Hi there !
d = 2r => r = d/2 = 100ft/2 = 50 feet
A = πr²
= 3.14×(50ft)²
= 3.14×2500ft²
= 7850 ft²
Good luck !
I need help I don’t understand it at all
Answers
Answer:
Correct Answer Is 3160 Maybe
Step-by-step explanation:
Answer:
3160
Step-by-step explanation:
3.16*10^3
=31.6*10^2
=316*10
=3160
-Removable discontinuity at 3, jump discontinuity at 5
Answers
steps of 17/3 - 3/4x = 1/2x + 5
Answers
Answer:
Step-by-step explanation:
12(17/3 - 3/4x = 1/2x + 5)
68 - 9x = 6x + 60
-15x = -8
x = 8/15
Simplify the expression: –3(3 + 2n)
Answers
Answer:
-9 - 6n is the answer
Steps to solve:
-3(3 + 2n)
~Distribute
-9 - 6n
Best of Luck!
write (7x - 4)(3x - 1) in standard form
Answers
Answer:
21x² - 19x + 4
Step-by-step explanation:
Step 1: Write factors
(7x - 4)(3x - 1)
Step 2: FOIL (First Outside Inside Last)
21x² - 7x - 12x + 4
Step 3: Combine like terms
21x² - 19x + 4
15. What percent of the people
surveyed prefer strawberry ice cream?
Favorite Flavors
Number of
Responses:
82- vanilla
chocolate- 76
strawberry- 42
Answers
Answer:
The answer is, 21%
Step-by-step explanation:
by adding all the responses, you get a total of 200. Then, you do 42/200 and then simplify, and 21/100 is 21%
(6h + 8) - (3h + 2) = 15
PLEASE HELP I ALSO NEED TO SHOW WORK
Answers
Answer:
[tex]h=3[/tex]
Step-by-step explanation:
So we have the equation:
[tex](6h+8)-(3h+2)=15[/tex]
First, let's distribute the negative:
[tex](6h+8)+(-3h-2)=15[/tex]
Combine like terms:
[tex](6h-3h)+(8-2)=15[/tex]
Subtract or add:
[tex]3h+6=15[/tex]
Subtract 6 from both sides:
[tex]3h=9[/tex]
Divide both sides by 3:
[tex]h=3[/tex]
And we're done!
Answer:
h=3
Step-by-step explanation:
1 Remove parentheses.
6h+8-3h-2=156h+8−3h−2=15
2 Simplify 6h+8-3h-26h+8−3h−2 to 3h+63h+6.
3h+6=153h+6=15
3 Subtract 66 from both sides.
3h=15-63h=15−6
4 Simplify 15-615−6 to 99.
3h=93h=9
5 Divide both sides by 33.
h=\frac{9}{3}h=
3
9
F(x)=-2|x| describe the transformation from the parent function f(x)=|x|
Answers
Answer:
reflect it about the x axis and stretch it by 2 in the y direction
Step-by-step explanation:
f(x) = |x| to f (x)=-2|x|
y = −f(x) Reflects it about x-axis
y = Cf(x) C > 1 stretches it in the y-direction
so we reflect it about the x axis and stretch it by 2 in the y direction
Answer: reflect it about the x axis and stretch it by 2 in the y direction
Step-by-step explanation:
$140 is 3.5% of what amount?
Answers
Answer:
4000
Step-by-step explanation:
140$ = 3.5 , divide by 3.5 on both sides
1% = 40$
100% = 4000$
Answer:
[tex]\huge\boxed{\$4,000}[/tex]
Step-by-step explanation:
[tex]p\%=\dfrac{p}{100}\\\\3.5\%=\dfrac{3.5}{100}=0.035\\\\3.5\%\ \text{of}\ x\ \text{is}\ \$140\\\\0.035\cdot x=140\qquad\text{divide both sides by 0.035}\\\\\dfrac{0.035\cdot x}{0.035}=\dfrac{140}{0.035}\\\\x=4,000[/tex]
3(5x - 2) - 6x = 3(3x + 2)
Answers
9x-9x=6+6
x=12
Answer:
x=12
Step-by-step explanation:
is 16 less than 10 write that as a inequality
Answers
Answer:
16 < 10
Step-by-step explanation:
Less than = <
[tex]16 < 10[/tex]
By the way, this inequality is FASLE
f(x)=-4xto the power of 2 what is the range
Answers
Answer:
(-infinity, 0]
Step-by-step explanation:
I'm assuming you meant f(x) = -4x^2. If so, the graph is that of a parabola that opens down and has vertex at (0, 0). In other words, f(x) is always zero or below zero.
Thus the range is (-infinity, 0]
A man buys 12 shirts at $24.69 each. There is a 6% sales tax. Find his bill.
Answers
296.28 x 1.06 = 314.06
With tax and everything, the total bill rounds up to $314.06. Hope this helped!
Answer:
$26.48
Step-by-step explanation:
First you find out what 6 percent OF 24.99 dollars is,
OF stands for multiplication
so multiply 6 percent of 24.99
= 0.06 x 24.99
= $1.4994 (That's a point not a comma, so it's around 1 dollar)
Then once you have found the sales tax which we found up there, you add it to the total cost of the shirts. (If it was a discount you would subtract it because it's a discounted price which means it's less - just another tip :) )
Anyway so you add it to the price,
24.99 + 1.49
= $26.48
Hope this helps! :)
what is the missing measure?
Answers
Answer:
the missing measure is 129° all around is 360° half of 360° is 180°, 180° is one line so if you subtract 51° from 180° you get 129° im not so good at explaining but i hope you understand
A Rectangle with sides 100m and 50m. Person B and Person A start walking in the opposite direction at the same point with velocities 5m/s and 4m/s respectively. Person A starts walking 3 seconds after person B. How long would it take for them to meet on the other side of Rectangle
Answers
Answer:
It takes takes them 31.67 secs to meet after Person A starts walking
OR
34.67 secs after Person B starts walking
Step-by-step explanation:
First, we will find the perimeter of the rectangle
From,
Perimeter of rectangle = 2 ([tex]l[/tex] + [tex]b[/tex])
Where [tex]l[/tex] is the length
and [tex]b[/tex] is the breadth
From the question, [tex]l[/tex] = 100m
and [tex]b[/tex] = 50m
Hence,
Perimeter of the rectangle = 2 (100+50)
= 2(150) = 300m
Hence, the perimeter of the rectangle is 300m
This is the total distance that will be covered by both persons by the time they meet.
Let the distance covered by person A be [tex]S_{1}[/tex]
and the distance covered by person B be [tex]S_{2}[/tex]
We can write that
[tex]S_{1}[/tex] + [tex]S_{2}[/tex] = 300m
Velocity of person A, [tex]V_{A}[/tex] = 4 m/s
and velocity of person B, [tex]V_{B}[/tex] = 5 m/s
From the question, Person A starts walking 3 seconds after person B,
This means, if person A spends [tex]t[/tex] secs before they meet, then person B would spend (3 + [tex]t[/tex]) secs.
For Person A,
Velocity = 4 m/s
Time = [tex]t[/tex] secs
Distance = [tex]S_{1}[/tex]
From,
[tex]Velocity = \frac{Distance}{Time}[/tex]
Then,
[tex]Distance = Velocity \times time[/tex]
[tex]S_{1} = 4 \times t[/tex]
[tex]S_{1} = 4t[/tex] ...... (1)
For Person B
Velocity = 5 m/s
Time = (t + 3) secs
Distance = [tex]S_{2}[/tex]
Also, from
[tex]Distance = Velocity \times time[/tex]
[tex]S_{2} = 5 \times (3+t)[/tex]
[tex]S_{2} = 5(3+t)[/tex] ...... (2)
Recall that, [tex]S_{1}[/tex] + [tex]S_{2}[/tex] = 300m
Then, [tex]S_{2}[/tex] = 300m - [tex]S_{1}[/tex]
We can then write that,
300m - [tex]S_{1}[/tex] [tex]= 5(3+t)[/tex]
Then,
[tex]S_{1} = 300 - 5(3+t)[/tex] ..... (3)
Equating equations (1) and (3), we get
[tex]300 - 5(3+t) = 4t[/tex]
[tex]300 - 15 -5t = 4t\\9t = 285\\t = \frac{285}{9}\\[/tex]
[tex]t = 31.67 secs[/tex]
This is the time spent by Person A
Hence, it takes takes them 31.67 secs to meet after Person A starts walking OR
34.67 secs after Person B starts walking
Answer:
I mistakenly rated Abdulazeez10's answer 2 stars because I thought he mixed up his variables, but I was actually the one who mixed up my variables.
Step-by-step explanation:
Sorry, Abdulazeez10 :( I can't change my rating, but just so everyone else knows, his answer is 100% correct!
Which quadratic has a maximum?
a. y = x2 + 2x + 2
b. y = - 2x² – 3x + 5
c. y = 0.5(x – 3)2 + 1
d. y = 2x + x2 - 1
Answers
Answer:
b. y = - 2x² – 3x + 5
Step-by-step explanation:
If you check on a graphing calculator or desmos, you will see that the parabola opens down, so there is a highest point, or a maximum. You can also know that without a calculator by looking at the sign in front of x. Since answer choice b is the only one with a negative in front (meaning that the parabola opens down giving you a maximum) then you will know that that's the correct answer.
What is the axis of symmetry, vertex and y intercept for 2x^2-8x-5
Answers
Answer:
Axis of symmetry: x = 2
Vertex at: (2, -13)
y-intercept is (0, -5)
Step-by-step explanation:
The equation for the x-value of the vertex in a quadratic of the form:
[tex]y=ax^2+bx+c[/tex]
is given by:
[tex]x_{vert}=-\frac{b}{2\,a}[/tex]
which in our case gives:
[tex]x_{vert}=\frac{8}{2*2} =2[/tex]
Then the equation for the axis of symmetry is given by: x = 2
and the y of the vertex can be calculated as:
[tex]y_{vert}=2 (2)^2-8\,(2)-5=-13[/tex]
Then the vertex is at the point: (2, -13)
And the y-intercept is found when x=0, that is:
y-intercept is (0, -5)
A box contains colored poker chips. There are 100 red, 100 white, and 100 blue chips. Without looking, what is the minimum number of poker chips that must be drawn to be assured of getting 30 chips of one color?
Answers
Answer:
draw all 100 of two colors to be assured
Step-by-step explanation:
if wrong plz tell me i can help on other things if wrong
Solve the inequality x - 5.3 > -12.8
Answers
Answer:
[tex] x > - 7.5[/tex]
Step-by-step explanation:
[tex]x - 5.3 > - 12.8 \\ x > - 12.8 +5.3 \\ x > - 7.5[/tex]
A phone company charges for service according to the formula: C ( n ) = 30 + 0.02 n , where n is the number of minutes talked, and C is the monthly charge, in dollars.
The slope in this equation is: _________
The vertical intercept in this equation is: ________
The slope's units are:
a. Dollars
b. Minutes
c. Minutes per Dollar
d. Dollars per Minute
Answers
Answer: Its 58382027.038
Step-by-step explanation:
Subtract 23.4 – 8.78 =_____
Answers
Answer:
14.62
Step-by-step explanation:
Answer:
14.62
Step-by-step explanation:
23.40
- 8.78
________
1 4 .6 2
For you to answer you need to place the commas correctly. The commas must be below each other to help you place the other numebrs correctly vertically. And after that you subtract and remember borrowing :)
HOPE IT HELPED
To solve the equation y – 4 = 9 for y, what operation must be applied to both sides in order to isolate the variable y?
Answers
Answer:
[tex]y-4=9[/tex]
The opposite of subtraction is addition, so you would have to add 4 to both sides:
[tex]y-4+4=9+4[/tex]
[tex]y=13[/tex]
The value of the y for the equation,y – 4 = 9 will be y=13 and e have to apply the subtraction operation must be applied to both sides in order to isolate the variable y.
What are arithmetic operations?The subject of arithmetic operations includes the study of numbers and their operations, which are important to all other branches of mathematics. These systems' fundamental operations are addition, subtraction, multiplication, and division.
It is given that the equation is,y – 4 = 9.
We have to solve the equation y – 4 = 9 and find the operation that must be applied to both sides in order to isolate the variable y.
The following steps are to be taken to isolate the variable y.
y – 4 = 9
y-4+4=9+4
y=13
Thus, the value of the y in the equation, y - 4 = 9, will be 13, and in order to isolate the variable y, the subtraction operation must be done on both sides.
Learn more about the arithmetic operations here,
https://brainly.com/question/25834626
#SPJ2
R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)}
Select all numbers that are in the domain.
Answers
Answer:
-3 -3 -1 1
Step-by-step explanation:
give me five stars and ill tell you
Answer: Answer: -3,-1, and 1.
Step-by-step explanation: You are given the relation R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} The domain of the relation are all possible inputs and the range of the relation are all possible outputs. So, the inputs are : -3,-1,1; and the outputs are : -2,0,2. As a result, the domain is : -3,-1,1; and the range is : -2,0,2.
