Answers
Option D is correct, the differentiate of the equation of x³+y³=1 is dy/dx=-x²/y²
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
We have to differentiate the equation of x³+y³=1
Differentiate both sides
3x²+3y²dy/dx=0
3y²dy/dx=-3x²
Divide both sides by 3y²
dy/dx=-x²/y²
Hence, option D is correct, the differentiate of the equation of x³+y³=1 is dy/dx=-x²/y²
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Related Questions
will give brainliest to correct answer
Answers
The sequence that represents the arithmetic sequence will be {-6, 1, 8, 15, 22,...}. Then the correct option is A.
What is an arithmetic sequence?Arithmetic succession or arithmetic sequential is a numerical series in which the difference between subsequent terms is uniform.
Let's check all the options, then we have
A. {-6, 1, 8, 15, 22,...}, then the common difference is given as,
d = 1 - (-6) = 8 - 1 =
d = 7 = 7
B. {64, 32, 16, 8, 4,...}, then the common difference is given as,
d = 32 - 64 = 16 - 32
d = -32 ≠ - 16
C. {1, 2, 4, 8, 16,...}, then the common difference is given as,
d = 1 - 2 = 2 - 4
d = - 1 ≠ - 2
D. {1, 3, 6, 10, 15,...}, then the common difference is given as,
d = 1 - 3 = 3 - 6
d = - 2 ≠ - 3
The sequence that represents the arithmetic sequence will be {-6, 1, 8, 15, 22,...}. Then the correct option is A.
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Five times the sum of a number and six is equal to eight times the number, minus six. Find the number.
Answers
Answer: x=12
Step-by-step explanation:
[tex]5(x+6)=8x-6[/tex]
On the left side of the equation, open the parentheses:
[tex]5x+30=8x-6\\\\5x+30-5x=8x-6-5x\\\\30=3x-6\\\\30+6=3x-6+6\\\\36=3x[/tex]
Divide both parts of the equation by 3:
[tex]12=x[/tex]
[tex]Thus,\ x=12[/tex]
After a 75% reduction, you purchase a new dvd player on sale for $150. What was the original price of the dvd player ?
Answers
Step-by-step explanation:
The original price was 150 / (1 - 0.75) = $600.
If a fair die is rolled 5 times what is the probability of rolling 3 sixes to the nearest thousandth
Answers
The probability of rolling 3 sixes to the nearest thousandth is 0.556.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Using binomial distribution.
[tex]^nC_r P^cQ^{n - r}[/tex]
Now,
Probability of getting a six = 1/6
P = 1/6
Probability of not getting a six = 5/6
Q = 5/6
Now,
n = 5 and r = 3
So,
[tex]^nC_r P^rQ^{n - r}[/tex]
= [tex]^5C_3(1/2)^3(5/6)^2[/tex]
= (5 x 4)/2 x (1/2) x (1/2) x (1/2) x (5/6) x (5/6)
= 10 x 1/8 x 25/36
= 5/9
= 0.556
Thus,
The probability of rolling 3 sixes is 0.556.
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Mei Mei signed up for a streaming music service that costs $6 per month. The service allows Mei Mei to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $0.50 per song. How much total money would Mei Mei have to pay in a month in which she downloaded 35 songs? How much would she have to pay if she downloaded
�
s songs?
Answers
Answer:
She would have to pay $17.50 for 35 songs.
Step-by-step explanation:
We have the amount it costs per song (0.50), and we have the amount of songs that she wants to buy (35). If we multiply 35 the amount of songs by 0.50 the price per song, we will have a grand total of $17.50.
35 * 0.50 = 17.50
-Hope this helped
Assume an exponential function has a starting value of 14 and a decay rate of 42%. Write an equation to model the situation.
The equation is y=
Answers
The equation to model the situation will be written as y = 14 × (0.58)ˣ.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
y = a (1 ± r)ˣ
Assume an exponential function has a starting value of 14 and a decay rate of 42%. Then the equation is given as,
y = 14 × (1 - 0.42)ˣ
y = 14 × (0.58)ˣ
The equation to model the situation will be written as y = 14 × (0.58)ˣ.
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The area of the circular base of a cone is 16π cm², and the slant height of the cone is 4 times the radius of the cone.
What is the approximate lateral area of the cone?
Answers
The approximate lateral area of the cone is equal to 200.96 cm².
How to calculate the lateral area of the cone?Mathematically, the lateral area of a cone can be calculated by using this mathematical expression:
Lateral surface area of a cone, LSA = πrl or πr√(r^2 + h^2)
Where
l represents the slant height of the cone.r represents the radius of the cone.h represents the height of the cone.How to calculate the area of a circle?Mathematically, the area of a circle can be calculated by using this formula:
Area of a circular base = πr²
16π = πr²
Radius, r = √16
Radius, r = 4 cm.
Substituting the given parameters into the lateral area of a cone formula, we have the following;
Lateral surface area of a cone, LSA = πrl = πr4(r)
Lateral surface area of a cone, LSA = 3.14 × 4 × 16
Lateral surface area of a cone, LSA = 200.96 cm².
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Answer:
201 beause you are rounding to the nearest whole number
Step-by-step explanation:
hello teacher can u help me with this
Answers
The problem states:
How many groups of 3/4 are in each of the following quantities.
So it sounds like it’s asking how many 3/4’s can go into 11/4 and 6 1/2. So we’ll use division.
First, let’s do 11/4.
11/4 divided by 3/4
When dividing by fractions, remember this tip: “keep, change, flip.” So keep the first fraction as it is, change the division sign to a multiplication sign, and flip the second fraction. So:
11/4 x 4/3
44/12
Simplify:
11/3 or 3 2/3 or 3.6666…
So the answer for 5a is above.
Now let’s do 5b.
6 1/2 divided by 3/4
First, convert mixed fraction to improper fraction to do the keep, change, flip:
13/2 divided by 3/4
Now, keep, change, flip:
13/2 x 4/3
52/6
Simply:
26/3 or 8 2/3 or 8.6666…
And above is your answer for 5b!
Hope this helped!
Question in image, PLEASE HELP
Answers
The value of ST = 10 for the given rectangle.
What is a rectangle?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.
Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.
In the given triangle PQRS, the diagonals bisect each other, that is they divide each other in equal halves.
Thus. PT = TR
Since, PT = 10 we have TR = 10,
The diagonals of the rectangle are equal, hence we also have:
TR = ST
Since, the value of TR = 10, then the value of ST = 10.
Hence, the value of ST = 10 for the given rectangle.
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calculate the measure of x
Answers
The measure of x use Pythagorean Theorem
1. x= 15
x= 26x= 7.6About Pythagorean TheoremTh Pythagorean theorem only applies to right triangles. This is the same as explained in the Pythagorean Theorem Module which states that for each right triangle, the area of the square on the hypotenuse is equal to the sum of the areas of the squares on the other side or the sides of the right angle.
Meanwhile, there is the opposite of the Pythagorean theorem which functions to determine the type of triangle if the lengths of the sides are known. The types of triangles include:
A right triangle is a triangle in which one of the angles is a right angle or equal to 90 degrees. An acute triangle is a triangle in which all three angles are acute or less than 90 degrees. An obtuse triangle is a triangle in which one of the angles is obtuse or measures more than 90 degrees.Learn more about Pythagorean theorem at
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x=√40-3x can someone help solve
Answers
The solution of the given equation is x= 5 and x = -8.
What is quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. First, there must be a term other than zero in the coefficient of x^2 for an equation to be a quadratic equation. The x^2 term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term.
The given equation is x = √40 - 3x.
Square on both sides of the equation:
x^2 = (√40 - 3x)²
x² = 40 - 3x
Regroup to one side of the equation:
x² + 3x - 40 = 0
x² + 8x - 5x - 40 = 0
x(x + 8) - 5 (x+8) = 0
(x - 5)(x + 8) = 0
Equate each term to 0:
x - 5 = 0
x= 5
x+ 8 = 0
x = -8
Hence, the solution of the given equation is x= 5 and x = -8.
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what's 5 plus 5 guys I'm so tired
Answers
Answer: it think 10
Step-by-step explanation:
and Get some sleep bro
Answer: 10
Step-by-step explanation:
5+5=10
Ms. Pesko pulled 5 candy bars out of a bag. She pulled the following candies: Twix, Kit-Kat, Milky Way, Twix, Twix. What is the experimental probablity of getting a Twix?
Answers
Answer:
Step-by-step explanation:
The experimental probability of getting a Twix is 3/5 or 60%.
Ramona and Malika are walking along linear routes in their county. On a map of their county, Ramona’s route passes through the coordinates (2,1)
and (0,−2)
. Malika’s route passes through the coordinates (0,3)
and (−2,0)
. Do the friends pass through a common coordinate, walk along the same route, or never cross routes?
Explain your answer
Answers
The path's of the two persons don't cross as their lines don't intersect and thus they never cross routes.
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here: Ramon's path passes through the co-ordinates (2,1)
and (0,−2) while Malika's passes through (0,3)
and (−2,0)
Thus using the two point of a line to construct the linear equations we get
Ramona's path is y=1.5x−2
Malika's path is y=1.5x+3
Now solving for the two equations we get
1.5x-2=1.5x+3
-2=3 which is not possible
Hence, The path's of the two persons don't cross as their lines don't intersect and thus they never cross routes.
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The graph of a parent function is shown. Which function belongs to the same function family as the graphed function?
Answers
Answer:
I doubt I'm wrong but it's D
Anyone know how to do math work like this?? I'm
Answers
Answer: IT IS EZ IT JS 67 AND 194
Step-by-step explanation
Sam is moving bags of soil from a loading dock into a storeroom. The topsoil
weighs 40 pounds per bag, and the mulch weighs 20 pounds per bag. The
cart Sam uses to move the bags can only carry up to 480 pounds.
Which graph represents the number of topsoil bags and mulch bags that Sam
can move in a single trip? Graphed
Answers
The inequality that can be used to represent the number of topsoil and mulch Sam can carry is, 40x + 20y ≤ 480
And, The graph which represents the number of topsoil bags and mulch bags that Sam can move in a single trip is shown in figure.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that:
Weight of top soil = 40 pounds
Weight of mulch = 20 pounds
Total weight Sam can carry = 480 pounds
Now, Let number of bags of top but soil = x
And, The number of weight of mulch = y
Hence, The inequality is,
⇒ 40x + 20y ≤ 480
Therefore, the inequality that can be used to represent the number of topsoil and mulch Sam can carry is 40x + 20y ≤ 480
And, The graph which represents the number of topsoil bags and mulch bags that Sam can move in a single trip is shown in figure.
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I'll give you brainliest and extra points if it's right! :)
Answers
Answer:
see explanation
Step-by-step explanation:
given the ratio of 2 similar figures is [tex]\frac{a}{b}[/tex]
then the ratio of perimeters is also [tex]\frac{a}{b}[/tex]
and the ratio of areas is ( [tex]\frac{a}{b}[/tex] )² = [tex]\frac{a^2}{b^2}[/tex]
the ratio of side lengths, yellow to green is
[tex]\frac{36}{60}[/tex] = [tex]\frac{3}{5}[/tex] ( cancelling 36 and 60 by 12 )
the ratio of perimeters is equal to ratio of sides, that is [tex]\frac{3}{5}[/tex]
the ratio of areas = [tex]\frac{3^2}{5^2}[/tex] = [tex]\frac{9}{25}[/tex]
let x be the area of the green figure, then by proportion
[tex]\frac{45}{x}[/tex] = [tex]\frac{9}{25}[/tex] ( cross- multiply )
9x = 1125 ( divide both sides by 9 )
x = 125
that is the area of the green figure is 125 units²
In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 23% of your total grade, each major test is worth 21.5%, and the final exam is worth 34%. Compute the weighted average for the following scores: 94 on the lab, 89 on the first major test, 63 on the second major test, and 73 on the final exam. Enter your answer as a whole number.
Answers
Answer: 79
Step-by-step explanation: The weighted average for the scores can be calculated as follows:
Lab score: 94 x 0.23 = 21.62
First major test: 89 x 0.215 = 19.135
Second major test: 63 x 0.215 = 13.495
Final exam: 73 x 0.34 = 24.82
Total weighted average: 21.62 + 19.135 + 13.495 + 24.82 = 78.976
Rounding to the nearest whole number, the weighted average is 79.
Please helppp I've been stuck on this for sooo long
Answers
The relation between a and c can be written as:
a = c + 24
Which is the relationship between a and c?First we know two equations:
a = b + 12
b = c + 12
So we have relations between a and b, and between b and c, and we want a relation between a and c.
If we replace the b of the first equation with the second equation, then we will get:
a = (c + 12) + 12
a = c + 24
That is the relation between a and c.
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HELP
______________________
Answers
Inverse of function f(x) is f⁻¹(x) = x³/125 - 7
What is inverse function?An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f⁻¹ or F⁻¹.
Given function,
f(x) = 5∛(x + 7)
f⁻¹(x) = 5∛(f(x) + 7)
Cubing both sides
x³ = 5³(f(x) + 7)
x³ = 125 (f(x) + 7)
f(x) + 7 = x³/125
f(x) = x³/125 - 7
Hence, f⁻¹(x) = x³/125 - 7 is inverse of function f(x).
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Which of the following shows independent events?
Select the correct answer below:
drawing a jack and then drawing a 7 without replacement from a standard deck of cards
drawing a 10 and then drawing a 9 without replacement from a standard deck of cards
rolling two 4's from two rolls of a standard die
rolling a sum less than 3 from two rolls of a standard die and rolling a 1 for the second throw
Answers
Answer:
Step-by-step explanation:
A mallard duck has 13 ducklings. Five of the ducklings are male. What
is the ratio of male to female ducklings?
Answers
Answer: 13 ducklings 5 male 7 female so the answer is 5:7
Step-by-step explanation:
Which of the following numbers is probably an irrational number? 0 1.6490221... 3/4 -5
Answers
The number that probably is an irrational number is 1.6490221...
How to determine the irrational numberAn irrational number is a number that cannot be expressed as a finite decimal or a fraction.
The number 0 is not irrational.
The number 1.6490221... is an example of a decimal that goes on forever, which is the characteristic of an irrational number.
The number 3/4 can be expressed as a fraction and is therefore not irrational.
The number -5 is not irrational.
Therefore, the answer is 1.6490221..., which is probably an irrational number.
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A catapult launches a pumpkin from the base of a hill.
Answers
The height of the pumpkin is 5.7 m.
What is the height of the pumpkin?
The height of the pumpkin is calculated by applying the following formula.
y = -0.1x² + 4.9x
where;
y = 0.9x
Now, our new equation becomes;
0.9x = -0.1x² + 4.9x
re-arrange the equation, and solve for x
0.1x² = 4.9x - 0.9x
0.1x² = 4
x² = 4 / 0.1
x² = 40
x = √ ( 40 )
x = 6.32
The height of the pumpkin = 0.9x = 0.9 x 6.32 = 5.7 m
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Please help me thank you so much!
Answers
Answer:
It's the second one because -3x3-5 equals -14
How many degrees is the peripheral angle above the circular arc that represents 4/9 of the circle
Answers
The peripheral angle above the arc would be:
160 / 2 = 80 degrees.
Solution
The peripheral angle above a circular arc is equal to the central angle subtended by the arc divided by 2.
The central angle of a circle is 360 degrees, so if the arc represents 4/9 of the circle, the central angle subtended by the arc would be:
360 * (4/9) = 160 degrees
The peripheral angle above the arc would be:
160 / 2 = 80 degrees.
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Peter recorded the snowfall each winter in New York for the last 4 years. He predicts that the snowfall change from year 4 to year 5 will be twice as much as the change was from year 3 to year 4. Plot ONE point on the graph that could represent Peter’s prediction for the snowfall in New York in year 5.
Plot the point on the coordinate grid below. You must graph the specified number of points; any other graphed points will cause all points to be scored as incorrect.
Answers
The snowfall change is plotted on the graph attached with the answer below.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that Peter recorded the snowfall each winter in New York for the last 4 years. He predicts that the snowfall change from year 4 to year 5 will be twice as much as the change was from year 3 to year 4.
Let the snowfall in years 3 to 4 is (2,0) so it will be in year 4 to 5 will be (4,0). Plot the two points on the graph. The graph is attached with the answer below for better understanding.
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Write 23.224 as a rational number
Answers
Answer:
Step-by-step explanation:
0.10267857142000002
The scale on a 1:50 000 ordnance survey map indicates that 2cm on the map = 1km on the ground. How many centimetres would 1km be represented by on a 1:25 000 scale map
Answers
1km would be represented by 4cm on a 1 : 25000 scale map.
What is a scale factor?The scale factor defines a variable in a ratio of two different measurements.
Sometimes drawings of large models are represented in a scale factor of a smaller unit.
Given, The scale on a 1 : 50000 ordnance survey map indicates that 2cm on the map = 1km on the ground.
We know 1 km = 1×100000 = 100000 cm.
So, If 2 cm represents 100000 cm it has a scale factor of 100000/2 = 50000.
Now, Again 1 km = 100000 cm,
So, 1km will be represented by 100000/25000 = 4 cm.
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