Answer:
If [tex]e^{x\cdot y}-y^{2} = e-4[/tex], then at [tex]x = \frac{1}{2}[/tex] and [tex]y = 2[/tex], [tex]\frac{dy}{dx} \approx 2.059[/tex].
Step-by-step explanation:
Let [tex]e^{x\cdot y}-y^{2} = e-4[/tex]. At first we determine the first derivative of the function by implicit differentiation:
[tex]e^{x\cdot y}\cdot \left(y+x\cdot \frac{dy}{dx} \right)-2\cdot y \cdot \frac{dy}{dx} = 0[/tex]
[tex]y\cdot e^{x\cdot y}+x\cdot e^{x\cdot y}\cdot \frac{dy}{dx} -2\cdot y\cdot \frac{dy}{dx} = 0[/tex]
[tex]y\cdot e^{x\cdot y}= (2\cdot y -x\cdot e^{x\cdot y})\cdot \frac{dy}{dx}[/tex]
[tex]\frac{dy}{dx} = \frac{y\cdot e^{x\cdot y}}{2\cdot y - x\cdot e^{x\cdot y}}[/tex]
If we know that [tex]x = \frac{1}{2}[/tex] and [tex]y = 2[/tex], then the computed value of the function is:
[tex]\frac{dy}{dx} = \frac{(2)\cdot e^{\left(\frac{1}{2} \right)\cdot (2)}}{2\cdot (2)-\left(\frac{1}{2} \right)\cdot e^{\left(\frac{1}{2} \right)\cdot (2)}}[/tex]
[tex]\frac{dy}{dx} \approx 2.059[/tex]
If [tex]e^{x\cdot y}-y^{2} = e-4[/tex], then at [tex]x = \frac{1}{2}[/tex] and [tex]y = 2[/tex], [tex]\frac{dy}{dx} \approx 2.059[/tex].
22. Roberto is an advertising sales representative for a magazine. He earns a commission on
his total sales each month. Last month, Roberto sold $75,000 in advertising. His commission
was $12,750. What percent does Roberto earn as commission?
Answer:
17%
Step-by-step explanation:
12,750/75,000=0.17
Which means it's 17%
Brainliest please-
An outdoor adventure company charges $9 per hour for a mountain
bike plus a $5 fee for a helmet.
Answer:500
Step-by-step explanation:500 +7++U+U++UU+
Will mark brainliest
Every week, Hector’s 20 hours earns $210.00. He earns a constant amount of money per hour.
Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.
Answer: 20 weeks in 1 week
in 2 weeks 40
Step-by-step explanation:
This proves that the equation is true
If sin t = -8/17 and t is a quadrant III angle, find cot t
Answer:cot t = 1.875
[tex]sin t=\frac{-8}{17}[/tex] but sin²t + cos²t = 1 ⇔ cos²t = 1 - sin²t
⇔cos t = [tex]\sqrt{1-sin^{2}t }=\sqrt{1-(\frac{-8}{17})^{2} }=|\frac{15}{17}|[/tex]
but t is a quadrant III angle => cos t = [tex]\frac{-15}{17}[/tex]
=> cot t = [tex]\frac{-15}{17}:\frac{-8}{17}=\frac{15}{8}=1.875[/tex]
Step-by-step explanation:
Jay is 3 years less than 4 times Nelly’s age ( n ). Which expression represents Jay’s age?
Answer:
9
Step-by-step explanation: 3x4= 12 -3=9
Answer:
what's nelly's age
Step-by-step explanation:
4x divided by 3?
choose the graph that represents the linear equation y = 2x + 1
Answer:
The third option is the answer.
Step-by-step explanation:
In the formula y = mx + b, using the equation given,
m = 2, which means that the line goes up 2 units and right 1 unit.b = 1, which means that the y-intercept, or where the line touches the y-axis, is 1.Answer:
the 3rd option
Step-by-step explanation:
In the formula y = tx + b, using the equation given,
t = 2, which means that the line goes up 2 units and right 1 unit.
b = 1, which means that the y-intercept, or where the line touches the y-axis, is 1.
A city park has a large circular garden with a path around it. The diameter of the garden is 60 feet. Jason works for the City Park Department. He needs to spread plant food all over the garden. What is the area of the park he will cover with plant food?
Answer:
He will cover 2,827.433 feet² area of the park with plant food.
Step-by-step explanation:
The diameter of the garden is 60 feet and the radius will be 60 feet/2 = 30 feet.
diameter= 60 feet
radius = diameter/ 2= 60/2= 30 feet
The area of the circle can be found by the formula πr²
Area= πr²=π(30)²
Area = 900π= 2,827.433 feet²
He will cover 2,827.433 feet² area of the park with plant food.
simplify (3a²b²)²+(ab)²
Answer:
[tex]a^{2} b^{2}[/tex] (9[tex]a^{2} b^{2}[/tex] + 1)
Step-by-step explanation:
simplify (3a²b²)²+(ab)²; for the first term, square the 3 and multiply the exponents by 2, also multiply the exponents by 2 in the second term
[tex]9a^{4} b^{4} + a^{2} b^{2}[/tex] ; factor out [tex]a^{2} b^{2}[/tex]
[tex]a^{2} b^{2}[/tex] (9[tex]a^{2} b^{2}[/tex] + 1)
y = (x + 6)(x – 7)
Distribution
Answer:
Y = [tex]x^{2}[/tex] - x - 42
Step-by-step explanation:
You can use the foil method
first, outside, inside, last
multiply the x’s together, the x times -7, the 6 times x, and then 6 times -7
Y = [tex]x^{2}[/tex] - x - 42
HELP ASAP DUE IN 5!!!!
The points in each table lie on a line. Find the slope of the line.
O 1/5
O 1
O 5
O None of the above
Hal owns a printing company. Last Christmas, he charged $8 for a set of 25 greeting cards and $14 for a set of 50. a. Find two ordered pairs that represent the situation. (8,25) (14,50)
Answer:
(8, 25) and (14, 50)
Step-by-step explanation:
Total cost of a set of cards = price per unit x number of cards
= p x n
Thus, the total cost of printing each set of cards depends on the price per unit and number of cards. So that it can be represented in ordered pair as: (p, n).
For the first set of greeting cards,
the cost of printing a card = $8.0
number of cards printed = 25
This can be represented in ordered pair as (8, 25)
For the second set of greeting cards,
the cost of printing a card = $14.0
number of cards printed = 50
This can be represented in ordered pair as (14, 50)
Thus, the two ordered pairs that can represent the situations are (8, 25) and (14, 50).
What is the slope of a line with the equation y = 5x + ⅖ ?
Answer:
The slope would be 5
Step-by-step explanation:
The reason why it would be five is because the slope formula is y=mx+b with m being your slope and b being your y-intercept.
Answer:
slope: 5
Step-by-step explanation:
[tex]y=mx+b[/tex] is the equation used to find the slope of an equation. The slope is ALWAYS the "m" value. So.... in this equation y=5+2/5... the "m" value is 5.... making the slope of the equation 5.
4 A baby's t-shirt requires 5 yards of fabric. How many t-shirts can be made from 48 yards?
Answer:
9 t-shirts
Step-by-step explanation:
divide 5 by 48 you will get 9.3 but that is not what it is asking it how many t-shirts can they total
Mike had to call a plumber. The plumber charged $55 for the service call plus, plus $22 for parts, and an hourly rate. He worked on the job for 3 hours. If Mike was charged $152, how much did the plumber charge per hour?
pls include the equation.
Answer: the answer is $456 and that is correct
Step-by-step explanation:
152×3= $456
Find the distance between E(5,3) and F(-4,3).
Answer:
Ok I also fo not know but shall shall come to silicon valley of US So you can remember all thinks about this and tricks
Eighteen subtracted from half of a number (In an algebraic expression)
Answer:
1/2x-18
Step-by-step explanation:
18 subtracted from half of a number
We assume that the "number" is x
so 1/2x is the half of a number
We now need to have 18 subtracted from that so 1/2x-18
16. Write the following in standard form
36505000
pls need ans. fast
Answer:
3.6505*10^7
Step-by-step explanation:
PLS GIVE BRAINLIEST
Answer:
36,505,000
Step-by-step explanation:
36505000 is 36505000 in standard form.
witch is grater 18/24 or 55%
Answer:
i would say 18/24
Step-by-step explanation:
WILL MARK BRAINLYIST IF YOU ANSWER CORRECTLY!!!!!! As water evaporates from a potted plant, its weight changes at a rate of -1 5/8ounces per day. Part A Estimate the change in the potted plant’s weight after one week. Explain your thinking. Part B Write and solve an equation using exact values to show the change in the plant’s weight after one week. Part C Explain how your estimate shows your answer is reasonable.
Hurryyyy
Which system of linear inequalities is graphed?
Answer:
y ≥ 3x-1
x+3y ≤ 6
Step-by-step explanation:
what is the value of this expression below when z=3
10z^2-2z-2
Answer:
82
Step-by-step explanation:
10z^2-2z-2
10x3^2-2x3-2
90-6-2
90-8
82
Answer:
82
Step-by-step explanation:
Evaluate 10z² - 2z - 2 where z = 3:
[tex] \longrightarrow [/tex] 10z² - 2z - 2 = 10 × 3² - 2 × 3 - 2
3² = 9:
[tex] \longrightarrow [/tex] 10 × 9 - 2 × 3 - 2
10 × 9 = 90:
[tex] \longrightarrow [/tex] 90 - 2 × 3 - 2
-2 × 3 = -6:
[tex] \longrightarrow [/tex] 90 - 6 - 2
90 - 6 - 2 = 90 - (6 + 2):
[tex] \longrightarrow [/tex] 90 - (6 + 2)
6 + 2 = 8:
[tex] \longrightarrow [/tex] 90 - 8
[tex] \longrightarrow [/tex] 82
what is the vertical change from point A to point B ?
What is the horizontal change to point A to point B?
Answer:
Vertical change= 1
Horizontal change= 2
Rate of change= 1/2
Step-by-step explanation:
The vertical change is how many units you go up on the triangle and the horizontal change is how many units you go left or right on the triangle. The rate of change is the vertical change over the horizontal change. So that is why 1/2 is the rate of change. Have a great day!
Answer:
4
Step-by-step explanation:
There are 11 books on a shelf , 7 of these books are new . The rest of them are used .
What is the ratio of new books to used book ?
Answer:
7:4
Step-by-step explanation:
11-7=4
7:4
The ratio of old books to the new books is new : old = 7 : 4.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, There are 11 books on a shelf, and 7 of these books are new.
So, The number of old books are (11 - 7) = 4.
So, In the self there is 7 new books and 4 old books.
Therefore the ratio of new books to old books,
new books : old books = 7 : 4.
learn more about proportion here :
https://brainly.com/question/7096655'
#SPJ2
5 students share 2 candy bars what fraction of a candy bar does each student get?
Answer:
2/5
Step-by-step explanation:
Take the number of candy bars and divide by the number of students
2/5
Each will get 2/5 of a candy bar
Answer:
2/5
Step-by-step explanation:
Hey luvs I NEED HELP ON THIS
Answer:
F. Outta. Here
Step-by-step explanation:
Answer:
a. 260m
b. 50m
Step-by-step explanation:
First, triangle POQ and triangle PNR are similar triangles, b/c they have one same angle(OQP), and OQ//NR.
Therefore, OP/OQ = NP/NR.
NP = OP + ON = 175 + 175 = 350
(a) 175/130 = 350 /NR, NR = 260
(b) 175/ (X+10) = 350/ (3X+5) , x = 15, NR = 50
Bart can paint 3/5 of a wall in 1/2 hour. How long does it take him to paint 5 walls?
Answer:
2 hours
Step-by-step explanation:
Liza’s age is two more than thrice the age of her younger sister.if her sister is 5 years old, how old is Liza?
Answer:
17 years old.
Step-by-step explanation:
sisters age:5
5×3+2=17.
Answer:
Liza is 17 years old.
Step-by-step explanation:
Ley 'x' be the age of Liza's younger sister
As Liza’s age is two more than thrice the age of her younger sisterso the equation of Liza's age will be:
Liza's age = 3x+2
As x = 5 years is Liza's younger sister age
so
Liza's age = 3(5)+2
= 15+2
= 17 years
Therefore, Liza is 17 years old.
Select the correct answer.
7
3
77
X
A) 363
C) 7
B) 33
D) 77
Answer:
B) 33
Step-by-step explanation:
Which can be used to expand the expression below?
5 3x
associative property
O commutative property
O distributive property
O subtracting
Answer:
the answer is disributive!
Step-by-step explanation: