The general solution of the given differential equation is:
\(y = (3/8)T^8 + C\)
The given equation is\(T^(-7)y' = 3.\) To find the general solution, we first need to isolate y' by multiplying both sides by T^7:
\(y' = 3T^7\)
Now we can integrate both sides with respect to the independent variable (let's call it x) to obtain:
\(y = ∫3T^7 dx + C\)
where C is the constant of integration. We can evaluate the integral as:
\(y = (3/8)T^8 + C\)
Therefore, the general solution of the given differential equation is:
\(y = (3/8)T^8 + C\)
where C is an arbitrary constant. Note that the solution is expressed explicitly as a function of the independent variable T. Also, the initial condition y(0) = 0 is satisfied by taking C = 0.
To know more about differential equation, refer here:
https://brainly.com/question/14620493
#SPJ11
Find f[g(x)] and g[f(x)] for the given functions. 3 f(x) = -x³ +3, g(x) = 4x+7 (Simplify your answer. Do not factor.) (Simplify your answer. Do not factor.) f[g(x)] = g[f(x)] =
The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19
The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7
The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below
f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3
When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343
Then
f[g(x)] = - 64x³ - 336x² - 588x - 340
Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;
g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g
[f(x)] = -4x³ + 19
Therefore,
f[g(x)] = - 64x³ - 336x² - 588x - 340
g[f(x)] = -4x³ + 19
Learn more about the function at
https://brainly.com/question/32520165
#SPJ11
HELP ME ASAP DUE IN 10 MIN
Answer:
oh god i rushed so much.. i hope you understand..the written answers..if confused..please inform..
how many derangements are there of six symbols? a derangement is a permutation with no fixed points.
There are 265 derangements of six symbols.
Derangement:
A derangement occurs when a set's elements are permuted so that none of them show in their original order. A derangement, then, is a permutation with no fixed points.
The formula for derangement is:
!n = n!\((1-\frac{1}{1! } +\frac{1}{2! }-\frac{1}{3! }+....(-1)^{n} \frac{1}{n! })\)
So, we have six symbols
∴ !6 = 6!\((1-\frac{1}{1! } +\frac{1}{2! }-\frac{1}{3! }+....(-1)^{6} \frac{1}{6! })\)
!6 = 265
Hence,
There are 265 derangements of six symbols.
Learn more about Derangement here
https://brainly.com/question/29587621
#SPJ4
Marcus and Jeremy both evaluated the expression −52 + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student's work.
Step-by-step explanation:
Sample response: Marcus is correct. Jeremy squared -5 instead of 5. The negative is not within parentheses, so it is not squared.
Answer:
sup
Step-by-step explanation:
Marcus is correct. Jeremy squared -5 instead of 5. The negative is not within parentheses, so it is not squared.
sample response on edge
see ya
5000000
bi 5000
Section B
1. Factorise the following numbers and e
32 b) 81 128 dj 243
Express the following numbers as the
Make's absolutely no sense. Please rephrase this as a question.
PLEASE HELP (look at the photo) I will mark brainleist!
Answer:
I believe its c $1520 overall there's only a decrease of 5%
Answer:
The value of the investment on August 1st is $1,512.
Step-by-step explanation:
To find the value of the percentage decreased by the percent of its value, simply subtract a number to a percent. To find the value of the percentage increased by the percent of its value, add a number to the percent. In this case, the value of the investment started with $1,600 and then it decreased by 10%. We can write our equation like this: 1,600 - 10% = ?. Don't think about turning 10% into 0.1. You could do that, but it wouldn't result in the answer as the value decreased by 10%. It would turn out to be 1,599.9 if you did subtract 1,600 by 0.1. It is NOT the value DECREASED by 10%. I think some people would mistakenly go on to that path but please don't. You will NOT recieve an accurate answer. Following the equation, you should get $1,440. That is the investment made during the month of June decreased by 10%.
During the month of July, the value INCREASED by 5%. Similar to the percentage decreased equation, we just turn the subtraction symbol into an addition symbol. Do the same process again but with an addition symbol and the NOW value of $1,440. You should get $1,512 as your final answer. If you are confused about how I got this answer, look at this equation for percentage increased: 1,440 + 5% = ?. If I am wrong, please let me know and I hope this helps! :D
Liv earns $9.50 for every two bracelets she sells. The equation y = 4.75x can be used to represent this situation. What is the constant of proportionality? What does the constant of proportionality represent in the context of the problem??
The constant of proportionality is 4.75 and it is the amount earned from each bracelet
What is the constant of proportionality?From the question, we have the following parameters that can be used in our computation:
y = 4.75x
A linear equation represented as y = mx has its constant to be m
This means that the constant of the equation is 4,75
The constant of proportionality represent the amount earned from each bracelet in the context of the problem
Read about constant of proportionality at
https://brainly.com/question/924976
#SPJ1
The constant of proportionality is 4.75 and it represents the amount of money, in dollars, that Liv earns for every bracelet she sells. .
What is the Constant of Proportionality?The constant of proportionality is represented by a symbol, such as k, and can be used to write an equation for a proportional relationship, such as y = kx, where y and x are the two variables and k is the constant of proportionality.
Therefore, the constant of proportionality in the equation y = 4.75x is 4.75. It represents the amount of money, in dollars, that Liv earns for every bracelet she sells.
In other words, it is the ratio of the amount of money earned to the number of bracelets sold.
Learn more about constant of proportionality on:
brainly.com/question/924976
#SPJ1
Q5: Car 1 brakes to a stop on a dry road. Car 2 does the same thing, at the same speed, on a road where it has been raining.
Answer:
finish the question
Step-by-step explanation:
3m+4n-z from 8m-4n+6
Answer:
i think its one solution
Step-by-step explanation:
Answer:
−5m − 5n − 1
Step-by-step explanation:
Subtract the second expression
8m+n−6
from the first expression
3m−4n−7.3m−4n−7−(8m+n−6)
Simplify each term.
3m−4n−7−8m−n+6
Simplify by adding terms.
−5m − 5n − 1
Use Synthetic substitution to find f(3) and f(-4) for f(x)=x^4-8x-11
f(3)=
f(-4)=
please give working for better understanding
Answer:
46 and 277
Step-by-step explanation:
Given
f(x) = \(x^{4}\) - 8x - 11 ← substitute x = 3, x = - 4 into f(x)
f(3) = \(3^{4}\) - 8(3) - 11 = 81 - 24 - 11 = 81 - 35 = 46
f(- 4) = \((-4)^{4}\) - 8(- 4) - 11 = 256 + 32 - 11 = 288 - 11 = 277
Write a verbal expression for each algebraic expression. 1. ²⁄₄ w to the 4th power 2. ˣ⁄₉ 3. ⅗ (3 - x))
Answer:
see below
Step-by-step explanation:
1) (2/4w)⁴
The product of two over four and w, to the fourth power.
2) x/9
The quotient of x and 9.
3) 3/5 (3 - x)
The product of three over five and the difference of 3 and x.
Answer:
See below
Step-by-step explanation:
1) The quotient of 2 and four times w to the 4th power
2) The quotient of x and 9
3) The quotient of 3 and 5 multiplied with the difference of 3 and x.
the jones family road trip covers 3640 miles and they visit 9 states. what is the average mileage per state?
Answer:
About 404.4444444445
Step-by-step explanation:
Answer:
404 miles per state
Step-by-step explanation:
First, let's write an equation.
For every 9 states, they covered 3640 miles. So our equation would look like this:
9s=3640 (s= number of states)
Second, let's get s by itself. To do this, divide 9 on both sides/
s=404.44444....
Please help show work if u can but u don’t have to
Answer:
wouldn't it be 2
Step-by-step explanation:
just taking a guess because if you square something it would most likely be 2
Answer:
1/2
Step-by-step explanation:
Given condition : t < √t
which means, √t should be greater than t
Solution :
To find the value of 't' we will use trial and error method
Now, let t = 4
put, t = 4 in √t
√4 = 2
√t = 2 as the square root of 4 is 2
Now, we have both the values
t = 4
√t = 2
t > √t
It is very much clear that t is greater than than √t but
we want to fulfill t < √t this condition
therefore option (3) 4 is a wrong answer
Now, let t = 1/2 [which is nothing but 0.5]
put, t = 1/2 in √t
√0.5 = 0.7
√t = 0.7 as the square root of 0.5 is 0.7
Now, we have both the values
t = 1/2 or 0.5
√t = 0.7
t < √t
It is very much clear that √t is greater than t
hence, it satisfies the t < √t condition
Therefore, the correct answer is option (1) 1/2
Learn about how yo find square root
https://brainly.in/question/50156103
Algebra 2 Question
19. If P(x) = 2x^4 - 5x^2 + 3x -9, then P(6) is
A.) -3
B.) 2439
C.) -2421
D. 2421
\(\text{Given that,}\\\\P(x) = 2x^4 -5x^2 +3x -9\\\\P(6) = 2\cdot 6^4 -5 \cdot 6^2 +3 \cdot 6 -9 \\\\~~~~~~~=2592-180+18-9\\\\~~~~~~~=2421\\\\\text{Hence the answer is option D.}\)
PLS HELP ME PLS I WILL GIVE BRIANLIEST
Answer: BC/BF & M<C
Step-by-step explanation:
Challenge You buy 3.18 pounds of grapes, 1.35 pounds of peaches, and 2.48 pounds of apples. What is your total bill?
Grocery Store Prices
Item
Cost
Grapes
$1.29 per
pound
Peaches
$1.19 per
pound
Apples
$1.09 per
pound
The total bill of 3.18 pounds of grapes, 1.35 pounds of peaches, and 2.48 pounds of apples is $ 8.4.
Given that,
I bought 3.18 pounds of grapes, 1.35 pounds of peaches, and 2.48 pounds of apples.
Grocery Store Prices:
Grapes $1.29 per pound
Peaches $1.19 per pound
Apples $1.09 per pound
Therefore the total bill is = $ [(3.18 pounds x 1.29 per pound) + (1.35 pounds x 1.19 per pound ) + ( 2.48 pounds x 1.09 per pound)]
= $ ( 4.10 + 1.60 + 2.70)
=$ 8.4
To learn more about profit and loss click on the link below:
https://brainly.com/question/26483369
#SPJ9
Determine whether this table represents a probability distribution.xP(x)00.0510.120.330.55Yes, it is a probability distributionNo, it is not a probability distribution
Recall that to determine if a table represents a probability distribution, the sum of the probabilities must add up to 1, and all the probabilities have to be positive numbers less or equal to 1.
Now, notice that:
\(0.05+0.1+0.3+0.55=1.\)From the table, we notice that all the given probabilities are positive numbers between 0 and 1. Therefore, we can conclude that the given table represents a probability distribution.
Answer:Yes, it is a probability distribution.
Solve the Linear system by using substitution.
y= -3x -1
4x+3y=2
The solution for the given system of equations is (-1, 2).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of linear equations are y=-3x-1 ------(I) and 4x+3y=2 ------(II).
Substitute y=-3x-1 in equation (II), we get
4x+3(-3x-1)=2
4x-9x-3=2
-5x=5
x=-1
Substitute x=-1 in equation (I), we get
y=-3(-1)-1
y=2
Therefore, the solution for the given system of equations is (-1, 2).
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
#SPJ1
When Nellie Newton hangs at rest in the middle of a clothesline, tensions will be the same in each side of the rope when:
a. the lengths of each rope are the same
b. the angles for both sides of the rope are equal
c. she is in equilibrium
The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.
When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.
For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.
To learn more about Tension click here: brainly.com/question/31500075
#SPJ11
If the provider has documented "rule t^ prime prime in the diagnostic statement , the medical assistant must code what ?
When a provider documents a code in the range of Z30 to Z39 in a patient's records, it typically refers to a category of codes related to "Encounter for Contraceptive Management" in the International Classification of Diseases, Tenth Revision (ICD-10).
The codes in this range, from Z30 to Z39, are used to classify encounters related to contraceptive management, including family planning, contraception counseling, initiation or management of contraceptive methods, and follow-up visits.
These codes are used to indicate that the purpose of the encounter was specifically related to contraception or family planning services.
This information is relevant for various purposes, such as medical coding, billing, and ensuring accurate documentation of the patient's visit.
To know more about contraception:
https://brainly.com/question/30298616
#SPJ4
--The given question is incomplete, the complete question is given below " A provider has documented code in the range of Z30 to Z39 in submission. in a patient's records. Which is the medical assistant representing?"--
What is the multiplayer for a 3% increase?
Answer:
3% = 0.03
verified with calculator
what is the value of the expression? when y=6 and z=2
3y−z/y+5z
a 1
b 3
c 4
d 16
Given:
y = 6
z = 2
To find:
value of expression 3y - z/y + 5z or (3y-z)/(y+5z)
Steps:
substituting the values we get,
3(6)-2/6 + 5(2)
= 18 - 1/3 + 10
= 27 + 2/3
since thats not there in the options i will try the 2nd one, (next time when writing question pls put brackets to signify if we to divide 2 numbers by and number
\(\frac{3(6)-2}{6+5(2)}\)
\(=\frac{18 - 2}{6 + 10}\)
\(= \frac{16}{16}\)
\(= 1\)
Therefore, the answer is option A) 1
Happy to help :)
If u need help, feel free to ask
Find the sum of the measures of the exterior angles of a convex 21-gon
The sum of the measures of the exterior angles of a convex 21-gon is 360 degrees.
What is an exterior angle?An exterior angle of a polygon is the angle between a side and its adjacent extended side.
Polygon is a plane figure with a finite number of straight line segments.
The sum of exterior angles of any polygon is 360 degrees.
The sum of the measures of the exterior angles of a convex 21-gon is 360 degrees.
Find out more on exterior angle at: https://brainly.com/question/2546141
#SPJ2
B.
-2x + 8 = y
3x - y = 22
How do I solve it
answer
x=6, y=-2
explanation
-2x + 8 = y -------equ 1
3x - y = 22 -------equ 2
u can use any of the simultaneous equation method
using elimination method
rearrange first from -------equ 1
-2x+8=y
-y-2x=-8
multiple through by -1
y+2x=8 -------equ 3
rearrange first from -------equ 2
3x-y=22
-y+3=22 ------equ 4
equate 3 and 4, adding them together
y+2x=8 -------equ 3
-y+3=22 ------equ 4
0+5x=30
5x=30
x=6------equ 5
replace 6 for x in any equation
using -------equ 3
y+2x=8
y+2(5)=8
y+10=8
y=8-10
y=-2
Answer:
(x, y)=(6, -4)
Step-by-step explanation:
-2x+8=y
3x-y=22
Substitute the given value of y into the equation 3x-y=22
3x-(-2x=8)=22
Solve the equation for x
x=6
Substitute the given value of x into the equation 3x-y=22
3x6-y=22
Solve the equation for y
y=-4
The possible solution of the system is the ordered pair (x, y)
(x, y)=(6, -4)
Check if the given ordered pair is the solution of the system of equations
-2x6+8=-4
3x6-(-4)=22
Simplify the equalities
-4=-4
22=22
Since all of the equalities are true, the ordered pair is the solution of the system
(x, y)=(6, -4)
The government is the largest provider of public goods and services. give two examples of public goods and/or
services provided by the government.
Coordinate plane with quadrilaterals abcd and efgh with a at 0 comma 0, b at 2 comma 0, c at 3 comma negative 2, d at negative 1 comma negative 2, e at 2 comma 4, f at 6 comma 4, g at 7 comma 2, and h at 1 comma 2 are quadrilaterals abcd and efgh similar?
No, quadrilaterals ABCD and EFGH are not similar because their corresponding segments are not proportional.
What is quadrangle ?
A plane figure consisting of four points, each of which is joined to two other points by a line segment (where the line segments may intersect). A quadrangle may therefore be concave or convex; if it is convex, it is called a quadrilateral.
Corresponding sides have the same slope, so corresponding angles are congruent.
Side AB is 1/2 the length of side EF; side BC is equal to the length of FG, so corresponding sides are not proportional.
The two quadrilaterals are not similar because their corresponding segments are not proportional (last choice).
No, quadrilaterals ABCD and EFGH are not similar because their corresponding segments are not proportional.
To learn more about quadrangle visit : brainly.com/question/17771739
#SPJ4
Find the value of x.
Answer:
x = 4°
Step-by-step explanation:
Both angles are the same because it is an angle bisector. This is given by the fact that the perpendicular intersection from the central ray is congruent on both sides.
2x + 16° = 6x16° = 4xx = 4°-Chetan K
rfggdgdgedrdgd
ggdgdgdgdrgdgdgd
Answer:
rrfgggefgegeegfegefegegeegfgfgfdfefdfefgdfdfdddgedgdfdgedfgfedffdddfgfdgddfddfgdfdgdf
The line passing through the points (–2, 12) and (3, –23) intersects the line passing through which of these pairs of points?
Answer:
The equation is -7x - 2
Step-by-step explanation:
Since it is 5 apart and goes down 35 dividing y 5 you'd get 7 and since it points down it's a negative
Help me pleaseeeeeeee
There are 37 numbers from 1 to 37, inclusive.
The probability of choosing a number that is a multiple of 3 is approximately 0.324 or 32.4%.
How to find and what is probability?
To count the number of multiples of 3, we can first find the smallest multiple of 3 that is greater than or equal to 1, which is 3.
Then we can find the largest multiple of 3 that is less than or equal to 37, which is 36. We can then count the multiples of 3 by counting in increments of 3 from 3 to 36: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36. There are 12 such numbers.
Therefore, the probability of choosing a number that is a multiple of 3 is:
P(multiple of 3) = number of multiples of 3 / total number of numbers
P(multiple of 3) = 12/37
So the probability of choosing a number that is a multiple of 3 is approximately 0.324 or 32.4%.
Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
To know more about probability visit:
https://brainly.com/question/30034780
#SPJ1