Differential equation is a way to represents the function and its variable by relating them.Hence the differential equation that describe the relationship between S and T is,
[tex]S \propto \dfrac{1}{log_e T}[/tex]
Given-
The quantity of S increases, the quantity of T decreases.
The rate of change of the quantity of S with respect to the quantity of T present is inversely proportional to the natural logarithm of the quantity of T.
What is differential equation?Differential equation is a way to represents the function and its variable by relating them.
As the quantity of S changes with respect to the quantity of T present is inversely proportional. Thus,
[tex]S \propto \dfrac{1}{T}[/tex]
But quantity of S changes inversely proportional to the natural logarithm of the quantity of T. The natural logarithm of a number is its logarithm to the base of e (constant).
Thus the equation can be given is,
[tex]S \propto \dfrac{1}{log_e T}[/tex]
Hence the differential equation that describe the relationship between S and T is,
[tex]S \propto \dfrac{1}{log_e T}[/tex]
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james has 375 pennies. he spends 3/5 of them and gives 1/3 of the remainder to his sister. how many pennies does he have left?
Answer:
375 * 3/5 =225
375 - 225 = 150
150 * 1/3 = 50
150 - 50 = 100
Step-by-step explanation:
Andy had some basketball cards. After he bought 12 more, he had 48 cards. How many cards did Andy have at the start? Write an algebraic equation and solve.
Answer:
Step-by-step explanation:
Select the type of equations.
equivalent
inconsistent
consistent
Answer:
the answer is inconsistent hope this help :)
Step-by-step explanation:
Bella the Chihuahua weighs 5 1/2 pounds. What is Bella's weight in Kilograms?
222222+999999what is this answer?
Answer:
888888
Step-by-step explanation:
Is the right answer
Answer:
1222221
Step-by-step explanation:
222222+999999
Start from the ones place, 2+9=11 (11)
Borrow 1, 2+9=11+1=12 (21)
Again, 2+9=11+1=12 (221)
Again, 2+9=11+1=12 (2221)
Again, 2+9=11+1=12 (22221)
And again, 2+9=11+1=12 (1222221)
Hope I helped! Good Luck!
. Jamie is walking of a mile every
hour. At that rate, how far will
Jamie have walked in one hour?
Answer:
a mile
Step-by-step explanation:
he walked 1 mile an hour
hope this helped
Answer:
Jamis would have walked 1 mile in one hour
Step-by-step explanation:
since Jamie walks a mile every hour, at that rate he would have walked 1 mile in one hour as given above.
I hope this helped! :)
☁️☁️☁️☁️
Find the 59th term of the arithmetic sequence 26, 17, 8, ...26,17,8,...
Answer: the 59th term is -496.
Step-by-step explanation:
Find last year's salary if, after a 4% pay raise, this year's salary is $41,080.
Answer:
$39500
Step-by-step explanation:
104%-41080
1%-395
last year's salary=395*100=39500
Which of the following situations
represents a proportional relationship?
A. A cheeseburger is $7.95 plus $ 1.00 for
each additional topping.
B. A pool fills at a rate of 90 gallons per hour.
C. A health club charges a $40.00
membership fee plus $25.00 per month.
D. A bank account begins with $350.00 and
gains $30.00 per month.
Answer:
I think the answer is C. : a health club charges a $40.00 membership fee plus $25.00 per month.
write at least 250 word about a way you have used math outside of school. Use your own word
2y = 3x + 4
2x = -3y - 7
Answer:
x= -2.........&.........y= -1
Step-by-step explanation:
(x,y)=(-2,-1)
Felix divided his shirts into three equal groups. Evaluate when s = 18.
Answer:
3 and 6.
Step-by-step explanation:
Write and evaluate the expression. Then, check all that apply.
Felix divided his shirts into three equal groups. Evaluate when s = 18.
The expression is
The expression is
The expression is s/3
The expression is
The answer is
The answer is 6.
What is the answer to 2x+3=7?
Answer:
x = 2
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
2x + 3 = 7
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 3 on both sides: 2x = 4[Division Property of Equality] Divide 2 on both sides: x = 2what is the correct graph
Answer:
the first one. with two shaded dots and a line between them
Find the value of x. Round the length to the nearest tenth. 350 12 cm Not drawn to scale
Answer:
2.9 as a fraction, and percent.
Step-by-step explanation:
divide it 35÷12=2.9
Each group of tables in the cafeteria is set up in 3 rows with 3 in each row. Mr. Grant needs 27 tables for the open house. How many groups of tables does he need to set up?
hi I need help with my math
Step-by-step explanation:
heyy, what math do u need help with I can probably help
Answer:
bestie whats the question
por favor ayúdame, doy lo más inteligente,más inteligente ,Brainliest i give brainliest!
Answer:
The trapezoid's area formula is [tex]A = \frac{1}{2} (b_{1} + b_{2})h[/tex], the circle's area formula is [tex]A =[/tex]π[tex]r^{2}[/tex], the triangle's area formula is [tex]A = \frac{1}{2}bh[/tex], and the parallelogram's area formula is [tex]A = bh[/tex].
y = x^5 sin (2x) cos (4x)
find the derivative
The derivative of the equation will be y' = 5y/x + 2y cot (2x) - 4y tan (4x).
What is differential equation?An equation containing derivatives of a variable with respect to some other variable quantity is called differential equations.
The derivatives might be of any order, some terms might contain product of derivatives and the variable itself, or with derivatives themselves.
They can also be for multiple variables.
y = x⁵ sin(2x ) cos(4x)
The differentiation;
y' = d/dx (x⁵ sin (2x) × cos (4x) + x⁵ sin(2x) ). × d/dx (cos(4x) )
y' = 5x⁴ sin(2x) cos(4x)+2x⁵ cos(2x) cos(4x) -4x⁵ sin(2x) sin(4x)
From the given equation;
y' = 5y/x + 2x⁵ cos(2x) cos(4x) - 4x⁵ sin(2x) sin(4x)
y' = 5y/x + 2y cot (2x) - 4y tan (4x)
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Find the x- and y-intercepts of the graph of 7x – 10y = 30. State your answers as
whole numbers or as improper fractions in simplest form.
x-intercept:
y-intercept:
Answer:
x-intercept: 7/30
y-intercept: −3
Step-by-step explanation:
Answer:
Step-by-step explanation:
For x-intercept:
Substitute y=0:
7x-10(0)=30
7x=30
x=30/7
For y-intercept:
Substitute x=0:
7(0)-10y=30
-10y=30
y=-30/10
y=-3
if angle COD equals 134 degrees, what is the size of reflex angle COD?
A: 46 degrees
B: 226 degrees
C: 314 degrees
D: 494 degrees
Answer:
A.
Step-by-step explanation:
To get to 180. You need to subtract 134 from 180:
180
134-
Which would give you 46.
I hope this is right.
ANSWER:the size of reflex angle is
C:314 degrees
Samantha has 1/3 gallon of milk left and wants to make 55 smoothies. If she wants to use the same amount of milk in each smoothie, how much milk can she put into each smoothie?
Answer:
She can put 1/165 in one smoothie.
Step-by-step explanation:
1/3 divided by 55/1
1/3 x 1/55 = 1/165
Hope this helps! :)
plz make me the Brainiest
pensé un número y lo dividí entre 3 luego sume 15 y el resultado fue 23
Answer:
x: 3 = 23 -15
x = 8 x 3
x = 24
Step-by-step explanation:
royal lawncare company produces and sells two packaged products
Factor this trinomial.
x2 - 9x+ 20
O A. (x – 4)(x - 5)
O B. (x-2)(x+10)
O C. (x - 2)(x - 10)
O D. (x – 4)(x + 5)
The factorization of the given trinomial [tex]x^2 - 9x+ 20[/tex] is (x – 4)(x - 5). The correct option is A.
What is trinomial?A trinomial is a polynomial that has three terms. To factor a trinomial of the form [tex]ax^2 + bx + c[/tex], you need to find two binomials that multiply together to produce the original trinomial.
To factor the trinomial [tex]x^2 - 9x + 20[/tex], we need to find two numbers that multiply to 20 and add up to -9. These two numbers are -4 and -5. Therefore, we can write:
[tex]x^2 - 9x + 20 = (x - 4)(x - 5)[/tex]
Or, To factor [tex]x^2 - 9x + 20[/tex], you need to find two numbers that multiply to 20 and add up to -9. These numbers are -4 and -5 because -4*(-5) = 20 and -4 + (-5) = -9.
You can factor the trinomial as (x - 4)(x - 5).
Thus, the correct option is A.
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Someone pls hurry!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:6 songs
Step-by-step explanation:
Identify the pair of angles as complementary, supplementary, or neither.
PLEASE HELP
Answer:
supplementary
Step-by-step explanation:
135 + 45 = 180
supplementary angle ALWAYS add up to 180.
What is the slope of the line
Answer:
slope = 1
Step-by-step explanation:
(0 , 1) ; (-1 , 0)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\frac{0-1}{-1-0}\\\\=\frac{-1}{-1}\\\\=1[/tex]
Which family lives the farthest from Disneyland?
Family A:
Family D
y = 95 - 55
Distance
50
Family B:
40
Family B lives 120 miles from Disneyland
and drives 60 mph.
30
Family
20
Hours
Distance
from
Disneyland
SO
10
0
1.5
0
0.2 0.4 0.6 0.8
112 Time (hours)
Family A
O Family B
O Family C
Family D
2) The perimeter of a rectangle is 74 cm. The length of the rectangle is 5 cm less
than twice the width. Find the length and width of the rectangle.
69 is the width 133 is the length
Step-by-step explanation:
im not that sure though lol