Answer:
\((fog)^{ \prime}(x) = 0\)
Step-by-step explanation:
\((fog) ^{ \prime} (x) = g^{ \prime}(x) \times f^{ \prime}(g(x))\)
\(g^{ \prime}(x) = 0\)
\(f^{ \prime}(x) = 1\)
\(f^{ \prime}(g(x)) = 1\)
\((fog)^{ \prime} (x) = 1 \times 0\)
\((fog)^{ \prime}(x) = 0\)
9x-(3x-3)=21
Solve the equation. Select the correct choice below and if necessary, fill in the answer box to complete your choice. The solution set is (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) The solution is all real numbers. The solution is the empty set.
Suppose it cost 52000 per year to live in city A . It cost 90000 to live in city B . In which city do you need to earn more to have the same purchasing power ?
Answer:
Step-by-step explanation:
I'd say taht in city B you'd need to earn mor emoney in order to make up for the additional 38000 tath you would need from the city B bu tin city c you would be able to do more and have and additional money to stay there.
Match the following. Match the items in the left column to the items in the right column. 1. domain the first element of a relation or function; also known as the input value. 2. output a relation in which every input value has exactly one output value. 3. input the x-value of a function. 4. relation any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane. 5. function the y-value of a function. 6. range the second element of a relation or function; also known as the output value.
The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.
What is the appropriate matching of the following items?1. Domain - the first element of a relation or function; also known as the input value.
3. Input - the x-value of a function.
6. Range - the second element of a relation or function; also known as the output value.
4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.
2. Output - a relation in which every input value has exactly one output value.
5. Function - the y-value of a function.
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a circular garden has a diameter of 12 yards whag is the area of the garden use 3.14
Step-by-step explanation:
the area of a circle is
pi × r²
r is the radius (= half of the diameter) of the circle.
radius in our car is 12/2 = 6 yd
and we are to use 3.14 as pi.
so we get as area
3.14 × 6² = 3.14 × 36 = 113.04 yd²
Plz help I will reward good points
Answer:
its a part b so id k how many they sell in genral. comment how many and ill solve it for ya :)
Put these numbers in order from greatest to least. 27/30, -7, 15/25
Answer:
27/30, 15/25, -7
Step-by-step explanation:
id k common sense
5.4 times 2 3/4 ???????????????????????????????????????????????????
Answer: In decimal form, 14.85
Answer in fraction form: 297/20
Step-by-step explanation:
Help please bro have mercy
Answer:
3.6+8
Step-by-step explanation:
should be 11
Evaluate the expression 5xy+ -2xy+y^2 when x=4 and y=-5
Answer:
-35
Step-by-step explanation:
5(4)(-5) + -2(4)(-5) + (-5)²
= -100 + 40 + 25
= -35
Answer: -35
Step-by-step explanation:
5(4)(-5)+(-2)(4)(-5)+(-5)^2
-100+40+25
-35
What are the coordinates of the point on the directed line segment from ( − 7 , 9 ) (−7,9) to ( 3 , − 1 ) (3,−1) that partitions the segment into a ratio of 2 to 3?
The coordinates of the point on the directed line segment from (-7, 9) to (3, -1) that partitions the segment into a ratio of 2 to 3 are (-3, 5).
To find the coordinates of the point that divides the directed line segment from (-7, 9) to (3, -1) into a ratio of 2 to 3, we can use the section formula.
Let's label the coordinates of the desired point as (x, y). According to the section formula, the x-coordinate of the point is given by:
x = (2 * 3 + 3 * (-7)) / (2 + 3) = (6 - 21) / 5 = -15 / 5 = -3
Similarly, the y-coordinate of the point is given by:
y = (2 * (-1) + 3 * 9) / (2 + 3) = (-2 + 27) / 5 = 25 / 5 = 5
Therefore, the coordinates of the point that divides the line segment in a ratio of 2 to 3 are (-3, 5).
To understand this conceptually, consider the line segment as a distance from the starting point (-7, 9) to the ending point (3, -1). The ratio of 2 to 3 means that the desired point is two-thirds of the way from the starting point and one-third of the way from the ending point. By calculating the x and y coordinates using the section formula, we find that the desired point is located at (-3, 5).
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Rachel is using a coordinate plane to reflect points over the y-axis she claims that (x,y) =(x,y) represents a reflection over the y axis since the point (0,4) is mapped to the image point (O,4) and the (0,-2) is mapped to the image point (0,-2).
Rachel is wrong, because she is claiming that
\((x,y)\rightarrow(x,y)\)Is a reflection over the y-axis. because
\(\begin{gathered} (0,4)\rightarrow(0,4) \\ (0,-2)\rightarrow(0,-2) \end{gathered}\)A reflection over the y-axis is actually represented as:
\((x,y)\rightarrow(-x,y)\)But because both of the points that Rachel chose have an x coordinate of 0, and -0 = 0 , Rachel thought that her reasoning was right, when it wasn't.
In fact, every point that is in the y-axis (x coordinate = 0) its mapped to itself when reflected over the y axis.
This way, the correct answer is:
C. Rachel's claims is incorrect since her examples are both in the y-axis
Solve each triangle. Round your answers to the nearest tenth.
The length of AC = 3.55.
In the given triangle,
AB = 20 m = c
BC = 31 m = b
AC = a = ?
∠A = 95 degree
We know the cosine rule,
CosA = (b² + c² - a²)/2bc
Therefore,
⇒ Cos95 = (31² + 20² - a²)/(2x31x20)
⇒ -0.087 = (1361 - a²)/1240
⇒ -107.88 = (1361 - a²)
⇒ a² = 12.62
⇒ a = 3.55
Hence,
AC = 3.55.
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Find the perimeter of a regular hexagon with each side measuring 8 meters.
a.
32 m
c.
48 m
b.
80 m
d.
40 m
Answer please I'll give brainliest
-3x + 6 = 4 - 6x
I kept getting 1.5 But it's not correct. ???
Answer:
-2/3 or -0.6666
Step-by-step explanation:
-3x + 6 = 4 -6x
Let's move the x to one side
-3x +6x=4-6
Combine like terms
3x = -2
Divide both sides by 3
-2/3=x
or -0.666666
An airliner passes over an airport at noon traveling 520 mi/hr due east. At 1:00 p.m., another airliner passes over the
same airport at the same elevation traveling due south at 560 mi/hr. Assuming both airliners maintain their (equal)
elevations, how fast is the distance between them changing at 3:00 p.m.?
The distance between the two airlines changing at 3:00 p.m is 374mi/hr
Here, the trajectory of the 2 planes will form a right angle at the airport.
Let 'a' be the distance of the east bound plane travelled past the airport and b be the distance of the south bound plane travelled past the airport and c is the horizontal distance between the two planes
a² + b² = c²
differentiating both sides with respect to time
2a da/dt + 2b db/dt = 2c dc/dt
The speed of both airlines is given,
da/dt = 520mi/hr and db/dt = 560mi/hr
At 12 pm the east bound plane has been flying post airport
at 3 pm, the distance = 3 x da/dt = 2(520) = 1560
At 1 pm the east bound plane has been flying post airport
at 3 pm, the distance = 2 x db/dt = 2(560) = 1120
c = √(a² + b²)
c = √(1560² + 1120²)
c = 1920.41
fast is the distance between them changing dc/dt
dc/dt = (3a da/dt + 2b db/dt)/2c
= (1560 x 520+ 1120x560)/1920
dc/dt = 374
Therefore, the distance between them changing at 3:00 p.m is 374mi/hr
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Find the path of a heat-seeking particle placed at point P on a metal plate with a temperature field T(x,y). Temperature Field: T(x,y)= 100 - x^(2) - 2y^(2).
As a result, the following parametric equations describe the motion of the heat-seeking particle: x = a - 2t and y = b - 4t
As per the question given,
To find the path of a heat-seeking particle placed at point P on a metal plate with a temperature field T(x,y) = 100 - x^(2) - 2y^(2), we need to use the gradient vector of T(x,y).
The gradient of T(x,y) is given by:
∇T(x,y) = (-2x, -4y)
The heat-seeking particle moves in the direction of maximum increase of temperature, so it moves in the direction of the gradient vector, that is, (-2x, -4y).
To find the path of the particle, we need to integrate the gradient vector starting at point P = (a,b), where a and b are the coordinates of the point on the metal plate where the particle is placed.
So the path of the heat-seeking particle is given by the following parametric equations:
x = a - 2t
y = b - 4t
where t is the parameter that represents time.
These equations represent a straight line in the direction of the gradient vector of T(x,y). The particle moves from point P in the direction of the gradient vector, with a speed proportional to the magnitude of the gradient vector.
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Liquid A and Liquid B are stored in cans.
Density of Liquid A: Density of Liquid B=4:3
Mass of Liquid A: Mass of Liquid B=5:2
3 cans of Liquid B are mixed with I can of Liquid A to make Liquid C.
Work out
Density of Liquid A: Density of Liquid C
Give your answer in its simplest form.
The density of Liquid A is equal to the density of Liquid C when they are mixed in the specified ratio.
To determine the density of Liquid C, we need to find the mass and volume of Liquid C and then calculate the density by dividing the mass by the volume.
Given that the density of Liquid A is in a 4:3 ratio with the density of Liquid B, and the mass of Liquid A is in a 5:2 ratio with the mass of Liquid B, we can assume that the ratio of their volumes is also 5:2. This is because density is the ratio of mass to volume.
When 3 cans of Liquid B are mixed with 1 can of Liquid A to make Liquid C, the volume ratio remains the same. So, the volume of Liquid C would be 5 + 3 = 8 units.
Since the density is the mass divided by the volume, the density of Liquid A would remain the same. Therefore, the density of Liquid A is equal to the density of Liquid C.
In conclusion, the density of Liquid A is equal to the density of Liquid C.
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Which equation is equivalent to the given equation?
x²- 10x = 14
-
(x - 10)² =-86
(x - 5)² = 39
(x - 5)²= = -11
(x-10)²= 114
5. Which of the following graphs represents the slope of -1/3
Answer:
A
Step-by-step explanation:
I found out bc I got the answer wrong then it gave me the right answer which is A:)
Hello! I need some assistance with this homework question posted below
Given:
\(f(x)=\frac{4x^2}{9x^2+7}\)By taking the denominator
\(\begin{gathered} 9x^2+7=0 \\ x^2=-\frac{7}{9} \\ x=\pm\frac{\sqrt[]{7}}{3}i \end{gathered}\)Domain:
\((-\infty,\infty)\)PLEASE HELPPPPPP ME PLEASE
If the the a is greater than 1, compared to the parent function the C. Stretched vertically.
How to find the comparison ?The equation y = ax^2 + c represents a quadratic function where "a" is the coefficient of the x^2 term and "c" is a constant term. The parent function of this quadratic function is y = x^2.
If the equation of a quadratic function is given in the form y = ax^2 + c and "a" is greater than 1, then the graph of the function will be stretched vertically and the vertex will be shifted up or down depending on the value of "c".
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i give brainliset
uuumuilpo
Answer: B
Step-by-step explanation: I had this question before.
how to do this question pls tell mme
Answer:
x = 35°
y = 55°
Step-by-step explanation:
60° + 50° + 2x = 180° (Sum of angles on a straight line is 180°)
2x = 180° - 110°
x = 70°/2 = 35°
2x + 2y = 180°( Sum of interior angles of a triangle is 180°)
2× 35° + 2y = 180°
70° + 2y = 180°
2y = 180° - 70°
y = 110°/2
y = 55°
7. You have 4 more marbles than your friend. Your friend
has 2 marbles. How many marbles do you have?
You:
Friend: 2
marbles
GO DIGITAL
回回
By using addition, There are total 6 marbles have you.
What is mean by Addition?The process of combining two or more numbers is called the Addition. Addition is when you put together two or more numbers together to find the total amount. The result of adding two or more numbers is called the sum.
And, The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
You have 4 more marbles than your friend.
And, Your friend has 2 marbles.
Now, We have;
Since, Your friend has 2 marbles.
And, We can assume;
Let number of marbles you have = x
Hence, We can formulate;
⇒ x = 2 + 4
Combine like terms we get;
⇒ x = 6
Therefore, We get;
By using addition, There are total 6 marbles have you.
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PLEASE ANSWER ASAP!!!!!
Answer:
\(\huge\boxed{\sf r = 5}\)
Step-by-step explanation:
Given that,
7(q + 5) = (q + r)7Distribute7q + 35 = 7q + 7r
Subtract 7q from both sides7q - 7q + 35 = 7q - 7q + 7r
35 = 7r
Divide both sides by 735/7 = r
5 = r
OR
r = 5\(\rule[225]{225}{2}\)
Answer:
r = 5
Step-by-step explanation:
Given statement,
→ 7(q + 5) is equivalent to (q + r)7.
Forming the equation,
→ 7(q + 5) = 7(q + r)
Now we have to,
→ Find the required value of r.
Then the value of r will be,
→ 7(q + 5) = 7(q + r)
Applying Distributive property:
→ 7(q) + 7(5) = 7(q) + 7(r)
→ 7q + 35 = 7q + 7r
Cancelling 7q from both sides:
→ 35 = 7r
→ 7r = 35
Dividing the RHS with number 7:
→ r = 35/7
→ [ r = 5 ]
Therefore, the value of r is 5.
Luisa is solving an equation on the bottom of a page. The corner of the page where the
equation is written is torn off as shown below.
7(x + 3) = 7(x + 5)
Luisa knows only one number was torn off, and she knows that the equation has an infinite number of solu-
tions. What must be the missing number?
A 2
B 14
C 21
D 35
To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:
7x + 21 = 7x + 35
Subtracting 7x from both sides, we get:
21 = 35
This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.
However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.
Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:
7(5 - 3) = 14
Therefore, the missing number is 14, which corresponds to answer option B.
Help me please I’ll give brainliest!!
Answer:
Step-by-step explanation:
Divide the pentagon radially into 5 congruent, isosceles triangles.
Area of one triangle = ½×7.2×4.955 = 17.838 mm²
area of pentagon = 5×17.838 mm ≅ 89.2 mm²
Bandhan Bank employee salary after 10 years
Answer:
- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries
Horacio is solving the equation-3/4 + 2/5x = 7/20x -1/2. Which equation represents possible ways to begin solving for x?
The equation of the possible way to begin solving for x is 2/5x - 7/20x = 3/4 - 1/2
Which equation represents possible ways to begin solving for x?From the question, we have the following parameters that can be used in our computation:
-3/4 + 2/5x = 7/20x -1/2
The first step is to collect the like terms
So, we have
2/5x - 7/20x = 3/4 - 1/2
This represents an equation of the possible way to begin solving for x
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