9514 1404 393
Answer:
width 117 feetlength 292 feetStep-by-step explanation:
Let w represent the width of the field. Then w+175 is its length. The perimeter is ...
P = 2(L+W)
818 = 2((w+175) +w) . . . . . fill in given values
818 = 4w +350 . . . . . . . . . simplify
468 = 4w . . . . . . . . . subtract 350
117 = w . . . . . . . . divide by 4
w+175 = 292 . . . . find the corresponding length
The width of the field is 117 feet; the length is 292 feet.
Let c be a positive number. A differential equation of the form dy/dt=ky^1+c where k is a positive constant, is called a doomsday equation because the exponent in the expression ky^1+c is larger than the exponent 1 for natural growth. An especially prolific breed of rabbits has the growth term My^1.01. If 2 such rabbits breed initially and the warren has 16 rabbits after three months, then when is doomsday?
Answer:
The doomsday is 146 days
Step-by-step explanation:
Given
[tex]\frac{dy}{dt} = ky^{1 +c}[/tex]
First, we calculate the solution that satisfies the initial solution
Multiply both sides by
[tex]\frac{dt}{y^{1+c}}[/tex]
[tex]\frac{dt}{y^{1+c}} * \frac{dy}{dt} = ky^{1 +c} * \frac{dt}{y^{1+c}}[/tex]
[tex]\frac{dy}{y^{1+c}} = k\ dt[/tex]
Take integral of both sides
[tex]\int \frac{dy}{y^{1+c}} = \int k\ dt[/tex]
[tex]\int y^{-1-c}\ dy = \int k\ dt[/tex]
[tex]\int y^{-1-c}\ dy = k\int\ dt[/tex]
Integrate
[tex]\frac{y^{-1-c+1}}{-1-c+1} = kt+C[/tex]
[tex]-\frac{y^{-c}}{c} = kt+C[/tex]
To find c; let t= 0
[tex]-\frac{y_0^{-c}}{c} = k*0+C[/tex]
[tex]-\frac{y_0^{-c}}{c} = C[/tex]
[tex]C =-\frac{y_0^{-c}}{c}[/tex]
Substitute [tex]C =-\frac{y_0^{-c}}{c}[/tex] in [tex]-\frac{y^{-c}}{c} = kt+C[/tex]
[tex]-\frac{y^{-c}}{c} = kt-\frac{y_0^{-c}}{c}[/tex]
Multiply through by -c
[tex]y^{-c} = -ckt+y_0^{-c}[/tex]
Take exponents of [tex]-c^{-1[/tex]
[tex]y^{-c*-c^{-1}} = [-ckt+y_0^{-c}]^{-c^{-1}[/tex]
[tex]y = [-ckt+y_0^{-c}]^{-c^{-1}[/tex]
[tex]y = [-ckt+y_0^{-c}]^{-\frac{1}{c}}[/tex]
i.e.
[tex]y(t) = [-ckt+y_0^{-c}]^{-\frac{1}{c}}[/tex]
Next:
[tex]t= 3[/tex] i.e. 3 months
[tex]y_0 = 2[/tex] --- initial number of breeds
So, we have:
[tex]y(3) = [-ck * 3+2^{-c}]^{-\frac{1}{c}}[/tex]
-----------------------------------------------------------------------------
We have the growth term to be: [tex]ky^{1.01}[/tex]
This implies that:
[tex]ky^{1.01} = ky^{1+c}[/tex]
By comparison:
[tex]1.01 = 1 + c[/tex]
[tex]c = 1.01 - 1 = 0.01[/tex]
[tex]y(3) = 16[/tex] --- 16 rabbits after 3 months:
-----------------------------------------------------------------------------
[tex]y(3) = [-ck * 3+2^{-c}]^{-\frac{1}{c}}[/tex]
[tex]16 = [-0.01 * 3 * k + 2^{-0.01}]^{\frac{-1}{0.01}}[/tex]
[tex]16 = [-0.03 * k + 2^{-0.01}]^{-100}[/tex]
[tex]16 = [-0.03 k + 0.9931]^{-100}[/tex]
Take -1/100th root of both sides
[tex]16^{-1/100} = -0.03k + 0.9931[/tex]
[tex]0.9727 = -0.03k + 0.9931[/tex]
[tex]0.03k= - 0.9727 + 0.9931[/tex]
[tex]0.03k= 0.0204[/tex]
[tex]k= \frac{0.0204}{0.03}[/tex]
[tex]k= 0.68[/tex]
Recall that:
[tex]-\frac{y^{-c}}{c} = kt+C[/tex]
This implies that:
[tex]\frac{y_0^{-c}}{c} = kT[/tex]
Make T the subject
[tex]T = \frac{y_0^{-c}}{kc}[/tex]
Substitute: [tex]k= 0.68[/tex], [tex]c = 0.01[/tex] and [tex]y_0 = 2[/tex]
[tex]T = \frac{2^{-0.01}}{0.68 * 0.01}[/tex]
[tex]T = \frac{2^{-0.01}}{0.0068}[/tex]
[tex]T = \frac{0.9931}{0.0068}[/tex]
[tex]T = 146.04[/tex]
The doomsday is 146 days
Guys what will be the population in five years.
I don’t know what i did wrong please help
Answer:
4990
Step-by-step explanation:
Multiply 638 by 5 then add 1800 and that's your answer
Answer:
4990
Step-by-step explanation:
638 x 5 = 3190
There is already a population of 1800, so then you add 3190 and 1800 to get 4900. The reason you add these numbers is because the population grows by 638 every year. They want to know how much it will grow in 5 years. You you multiply n (number) by y (year) to get t ( total).
Hope this helps!
Yours Truel, TheAnimeCatUwU
HELP ASAP! PLZZZZZZZZZZZZ
find the volume of a right circular cone that has a height of 4.2 m and a base with a radius of 3.4 m. Round your answer to the nearest tenth of a cubic meter.
Answer: 50.8
Step-by-step explanation:
The volume of the given cone is 50.8 m³.
What is cone?A cone is a shape created by connecting all the points of a circular base (which does not contain the apex) to a common point known as the apex or vertex using a series of line segments or lines.
Given that,
Height = h = 4.2 m
Radius of base = r = 3.4 mm
Since we know that,
volume of cone = πr²h/3
now put the values
we get,
volume of cone = π(3.4)²(4.2)/3
= 50.8 square m
Hence,
The volume = 50.8 m³
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What is the area of the triangle?
Answer:
52
Step-by-step explanation:
Solve the equation 8x= 2/3 what does x stand for
Answer:
x=1/12
Step-by-step explanation:
Answer:
x = 1/12
Step-by-step explanation:
8x = 2/3
divide both sides of the equation by 8:
x = 2/24 = 1/12
Mrs Loke had 2920 buttons. She packed them into packets of 8 buttons. (a) How many packets of 8 buttons did she pack? (b) If she were to pack all her buttons into packets of 5 buttons, how many fewer packets of 8 buttons than 5 buttons would she get?
The ratio of the perimeters of two squares is 2:3. If the
area of the larger square is 324 square feet, what is the length, in feet, of the side of the smaller square?
Where the above ratio are given, the length of the side of the smaller square is approximately 14.7 feet.
How to compute the aboveThe area of a square is calculated by squaring the length of its side. Given that the area of the larger square is 324 square feet, we have:
(3/2)x² = 324
To solve for x, we can rearrange the equation and take the square root of both sides -
x² = (324 * 2) / 3
x² = 216
x ≈ √216
x ≈ 14.7
Hence , the length of the side of the smaller square is approximately 14.7 feet.
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A company makes 150 bags.
23 of the bags have buttons but no zips.
35 of the bags have zips but no buttons.
49 of the bags have neither zips nor buttons.
How many bags have zips on them?
What is the area of an equilateral triangle that has the base 12 cm,
and height of 10 cm? *
A 72.4 square centimeters
B 120 square centimeters
C 62.4 square centimeters
D 60 square centimeters
Answer:
C 62.4square centimetres
4. What is the slope of the graph of x – 2y = 8?
Answer:
The slope is 1/2
Step-by-step explanation:
Use the slope-intercept form y = m x + b to find the slope m
Hope this helps:)
Which expression is equivalent to 64y18 – 1000z6?
Answer:
8 * (2y⁶ - 5z²) ( 4y¹² +10 y⁶z² + 25z⁴)
Step-by-step explanation:
64y¹⁸ – 1000z⁶ = 8 * (8y¹⁸ - 125z⁶) = 8 * ((2y⁶)³ - (5z²)³)
= 8 * (2y⁶ - 5z²) ( 4y¹² +10 y⁶z² + 25z⁴)
PLEASE HELP QUICKKKKK WILL GIVE BRAINLY
Question 2 (02.03)
Figure TUVW is transformed to T’U’V’W’, as shown:
Which of the following sequences of transformations is used to obtain figure T’U’V’W’ from TUVW?
1. Reflection about the y-axis followed by a translation left by 2 units
2. Reflection about the x-axis followed by a translation left by 2 units
3. Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
4. Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units
what is the answer in fraction form: 2(1/3+1/4)
Answer:
7/6 or 1*1/6
Step-by-step explanation:
Answer:
the answer is in the picture
Find the area of the rectangle
Answer:
40 mi
Step-by-step explanation:
area= width*length
Answer:
40 mi
Step-by-step explanation:
probally a jok e
[tex]A=l*w[/tex]
[tex]A = 5*8[/tex]
[tex]A=40[/tex]
Part B What is the unit for Warren’s data?
This is due tommorrow at 12:44PM!!!!!!!!
Answer: The unit for Warren’s data is the number of cars sold each day.
Sorry for the answer being so late!
Which number is a perfect cube?
A. 8
B. 9
C. 16
D. 25
8 is a perfect cube number. So, option A.) is correct.
A number is said to be a perfect cube if it can be multiplied by itself three times. X must equal [tex]y^3[/tex] if it is a perfect cube of Y. As a result, a natural integer, not a fraction, is obtained when we take the cube root of a perfect cube. Therefore, [tex]3\sqrt{x}[/tex] equals y.
Let, a be a integer number then for a number to be perfect cube
Number= [tex]a^3[/tex]..............................................where a is integer number
8= [tex]a^3[/tex]
So, a=2
9= [tex]a^3[/tex]
No, integer value exist, whose cube is 9.
16= [tex]a^3[/tex]
No, integer value exist, whose cube is 16.
25= [tex]a^3[/tex]
No, integer value exist, whose cube is 25.
Thus, 8 is a perfect cube number. So, option A.) is correct.
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Is (9, 2) a solution to the system below?
x−4y=1, 2x−3y=3
1. Yes. (9, 2) is a solution to the system
2. No. (9, 2) is only a solution for the equation
3. No, (9, 2) is only a solution for the equation
4. No. (9, 2) is not a solution for either equation.
OMG PLEASE PLEASE PLEASE HELP!!!! I NEED THISS DONE ASAP!! Pleaseeee giving brainlest!!
Answer:
triangular prism
Answer:
it will be triangular prism
HELP ME PLSSSSSSSSSSS IF I FAIL I M Screwed
Answer:
41
Step-by-step explanation:
Write each percentage as a fraction in simplest form.
1. 50% 2. 99% 3. 15%
4. 200%
Answer:
1. 1/2
2. 99/100
3. 3/20
4. 2
PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!
Answer: Find the volume of cone, whose radius is 8 cm and height is 5 cm. Thus, the volume of the cone is 334.93 cm3.
Answer:
251.33cm^3
Step-by-step explanation: Use the formula V= π • (d/2)^2 • H
HOPEFULLY THIS HELPS
PLZ ANSWER I REALLY NEED IT
A student is asked to simplify the given expression. The student's response demonstrates which common misconception?
Simplify: x^4/ x^4 Student's response: 0
A) add exponents when dividing B) dividing by zero is undefined C) subtract exponents when dividing D) a number raised to the zero power is equal to 0
please help me i only have 30 mins to an hour to finish
Answer:
D. 105 students
Step-by-step explantation: 11+10+21+6+2=50. So, 21 times 250 is 5250 and divided by 50 is 105.
7)
Given the function f(x) = 2x^3 - 18x^2 + 36x + 12, find f(2).
A)
f(2)= 20
B)
f(2) = 24
f(2)= 28
D)
f(2)= 32
Answer:
f(2) = 28
Step-by-step explanation:
f(2) = 2(2³) - 18(2²) + 36(2) + 12
= 2(8) - 18(4) + 72 + 12
= 16 - 72 + 72 + 12
= 16 + 12
= 28
If you flip a fair coin 5 times, what is the probability that you will get exactly 2 tails?
Answer:
.81
Step-by-step explanation:
Helps please is for nooooowwwww
Answer:
The correct answer is the tor mar nada tor buda tor buni ami chai
If the critic rates a total of 100 movies, what is the best prediction for the number of movies she gives exactly 3 stars?
А
27
B
47
50
D
35
Answer:
I think its gonna be 35 I'm not sure
help ill give extra poihts
Answer:
19 / (19+19+13) = 0.37254901... = ~ 37%
Step-by-step explanation:
19 is self-explanatory
(19+19+13) = 52
19 / 52 = 0.37254901...
0.37254901... = ~37%
brainliest plz
I only need an equation for this. Plz help me