Answer:
what do you mean by your question I didn't understand it
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]
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
can you please help me
Answer:
TR is tangent
SV and ST are the chords
OT is perpendicular to tangent line T
I only need an equation for this. Plz help me
what is 2X500 pls!!!!!
Answer:
1000
Step-by-step explanation:
2×500=1000
hope it helps
“if there are 12 boys and 48 girls in a room, fill out all of the possible ratios of boys to girls that could be made.”
Answer:
1 boy 4 girls, 2 boys 8 girls, 3 boys 12 girls, 4 boys 16 girls
What does ''a over 3'' or a/3 mean?
Step-by-step explanation:
It means "a divided by 3". You need to divide a by 3. You can also write it as "1/3a".
Answer:
the answer is above me or below me
what is the value of x?
Answer:
x=37
Step-by-step explanation:
As you can see in the image, both angles are congruent to each other. 74 degrees and 2x degrees. You have to divide 74 by 2 to find what x equals.
74/2=37
x=37
5+10+15+20 in stigma notation
You mean Sigma notation not stigma ^^
Answer:
Look the attachment
Help Me With this question!!!!!!!!!! please
Answer:
6
Step-by-step explanation:
The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds people. By selling tickets, the members would like to raise $ every night to cover all expenses. Let d represent the number of adult tickets sold at $. Let s represent the number of student tickets sold at $ each. If all seats are filled for a performance, how many of each type of ticket must have been sold for the members to raise exactly $? At one performance there were times as many student tickets sold as adult tickets. If there were tickets sold at that performance, how much below the goal of $ did ticket sales fall?
Answer:
a) At $3,300 for 600 seats, the average price per seat is 3300/600 = $5.50. The mix of tickets that results in that average can be found using an X diagram as shown below. The numbers on the right are the differences along the diagonals. When they are multiplied by 2, they add to 600. This shows that the required sales for revenue of $3,300 are
200 adult tickets
400 student tickets
b) When 3 student tickets are sold for each adult ticket, the average seat price is
(3*$4.50 +7.50)/4 = $5.25
Then the shortfall in revenue is ...
$3,300 -480*$5.25 = $780
A BAKER USES 2/3 CUP OF RYE FLOUR IN EACH LOAF OF BREAD. HOW MANY CUPS OF RYE FLOUR WILL THE BAKER USE IN 9 LOAVES?
Answer:
6
Step-by-step explanation:
2/3 times 9 = 6
(Also: The Caps really attracted me)
How many solutions does the system of linear equations represented in the graph below have?
No Solution
One Solution
Infinitely many solution
None of the above
Answer:
No solutions
Step-by-step explanation:
There are no solutions because the two lines have the same gradient (they are parallel)
Have a great day <3 and pls love me
evaluate -3 x +2x-1 if x=-5
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
To learn more about cone visit:
https://brainly.com/question/30253224
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Determine the slope, if it exists, of the graph of the linear equation y=3.1x-3
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
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
In one town, there are 240 boys and 260 girls who play
1
sports. Of these, play soccer. How many children
play soccer in all?
Answer: 500 children play soccer
Step-by-step explanation:
Take the numbers you are given
240 boys
260 girls
now add them together
240 + 260 = 500
Answer:
500
Step-by-step explanation:
There is 240 boys and 260 girls
they all play the same sport
so add does numbers you get 500.
I need help
Can you help me please!!!
Answer:
Step-by-step explanation:
The triangles are similar.
x/(x+4) = 7.2/12
x/(x+4) = 0.6
x = 0.6(x+4)
0.4x + 2.4
x = 6
1 point
2) What should come in the place of question mark (?) in the following
letter series based on the English alphabetical order CF HK MP RU? *
O WZ
OEF
GH
OHJ
Answer:
A) WZ
Step-by-step explanation:
B,C, and D, come before RU
Plz show work thanks
Answer:
1/sec x- tan x
Step-by-step explanation:
sec x+ tan x
= sec x+ tan x) (sec x - tan x)/(sec x , tan x)
=sec^2x-tan^2x)(sec x- tan x)
(sec^2x-tan^2x=1)
=1/sec x- tan x
The following expression represents the profit made by John as he mows
lawns: P = 20L - 100
Which description correctly interprets each part of the expression?
Answer:
P is price per lawn, 20 is the money made per lawn, L is the number of lawns mowed, 100 is his initial cost.
Step-by-step explanation:
Select all the expressions that represent the large rectangle's total area can't find the answer please help
Last one I need help in will give BRAINLY (don’t send me links)
Answer:
x=11
Step-by-step explanation:
4x+11=5x (angle adb and edf are the same)
11=5x-4x
11=x
x=11
if you want you can check by doing...
(14*11-29)+(5*11)=180
Simplify 3y + 6y + 8
Answer:
Use photo math it will help you.
Answer:
9y+8
Step-by-step explanation:
I hope this helps! You add 3y+6y which is 9 and then you add 8, so the answer is 9y+8
A box contains 17 transistors, 5 of which are defective. If are selected at random, find the probability of the statements below.
Answer:
27% chance that the transistor is defective
5:17
Step-by-step explanation:
The probability that the picked up transistor is defective is 5/17
What is a expression? What is a mathematical equation? What is Probability?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -
P(A) = n(A)/n(S)
where -
n(A) = Number of outcomes favorable to event A.
n(S) = Total number of outcomes
Given is that a box contains 17 transistors, 5 of which are defective.
Probability that the picked up transistor is defective is -
P(D) = 5/17
Therefore, the probability that the picked up transistor is defective is 5/17
To solve more questions on Probability, visit the link below -
brainly.com/question/24028840
#SPJ2
(10 POINTS) answer ASAP if you can
Answer:
D
Step-by-step explanation:
Because it's 340 meters per second
7.1.14-T Question Help 이 Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4528 patients treated with the drug, 102 developed the adverse reaction of nausea. Construct a 95% confidence interval for the proportion of adverse reactions. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.)
Answer:
woahhhhhh too much
Step-by-step explanation:
Answer:
7.1.14-T Question Help 이 Use the sample data and confidence level given below to complete parts (a) through (d). A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4528 patients treated with the drug, 102 developed the adverse reaction of nausea. Construct a 95% confidence interval for the proportion of adverse reactions. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.)
Find the area of a room that is 8-feet-wide and 9-feet-long.
Step-by-step explanation:
Area = l × b
= 9ft × 8ft
= 72ft²
Answer:
72 feet
Step-by-step explanation:
8 (length) • 9 (width) = 72 sq ft