The GDP of the hypothetical country in this case is R363 billion.
To calculate GDP, we use the following formula:
GDP = C + G + I + NX
where:
C = consumer spending
G = government spending
I = business investment
NX = net exports (exports - imports)
Now, let's plug in the given values into the formula and calculate the GDP:
GDP = R220 billion (C) + R50 billion (G) + R100 billion (I) + (R25 billion - R32 billion) (NX)
GDP = R220 billion + R50 billion + R100 billion - R7 billion
GDP = R363 billion
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why did my answer not work? said it was wrong. this site is so annoying.
Answer:
I feel u but im pretty sure its correct?
Check if u typed it in correctly but nah it look right:/
Step-by-step explanation:
57.4g of sugar is needed to make 7 cakes. How much sugar is needed for 9 cakes?
Answer:
73.8 g
Step-by-step explanation:
57.4/7 = 8.2 per cake
8.2 x 9 = 73.8 g
Answer:
I'm pretty sure the answer would be 73.8g
Step-by-step explanation:
what the metric system of measurement is based on the number?
The metric system of measurement is based on the number 10.
This system is also known as the International System of Units (SI) and is used in most countries around the world. In the metric system, various units of measurement are defined as multiples or fractions of a base unit, which is defined for each quantity being measured. For example, the base unit for length is the meter, and the base unit for mass is the kilogram. Prefixes such as kilo-, centi-, and milli- are used to indicate multiples or fractions of the base unit, based on factors of 10. For example, a kilometer is 1000 meters, a centimeter is 1/100 of a meter, and a milligram is 1/1000 of a gram. This makes the metric system easy to use and convert between units, as well as consistent and universally recognized.
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Will mark branilest!!
Answer:
B?
Step-by-step explanation:
(This is math. Is that question supposed to be math? I'm not sure)
The equation a² + b² = c² represents the relationship between the three sides of a right triangle.
Ivan is cutting a piece of fabric for his sewing project in the shape of a right triangle. His right triangle has a leg with
a length of 5 inches and a hypotenuse with a length of 11 inches. What is the length, in inches, of the other leg of
his triangle?
the length, in inches, of the other leg of his triangle is 9. 8inches
How to determine the lengthUsing the Pythagorean theorem which states that the square of the longest leg or side of a given triangle is equal to the sum of the squares of the other two sides of the triangle.
From the information given, we have that;
a² + b² = c² represents the relationship between the three sides of a right triangle
Also,
Hypotenuse side = 11 inches
One of the other side = 5 inches
Substitute the values, we have;
11² = 5² + c²
collect like terms
c² = 121 - 25
Subtract the values
c = √96
c = 9. 8 inches
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each platform varies in the number of videos or images that can be added for a carousel ad, but the range is limited to what number?
The maximum limit to add the videos or images in Carousel is 10MB and the aspect ratio to add the images or videos is 1:1
There are many applications that are present where the videos and images can be added in the websites. The maximum images in the in few website is nine, but in carousel is 10MB of size and also it can be added up to 1:1 ratio of aspect size. The Carousel also allows the user to add slides and images. It helps to add the graphical representation.
The size of the videos must be from 60 seconds to 30 seconds of size and also the video includes the visual templets that help the user to have the presentation in an effective ways. There are many templets that also helps the user to present in a professional way. The carousel is a cloud representation that helps to create the slideshow online and also present it in the blockage videos. The online photos and images can also be added.
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A roller coaster’s height is given by the equation h = –.067t2 7t 50, where t represents the time in seconds. how long will it take riders to pass over the hill and reach ground level? hint: set h = 0. 13.40 seconds 50.07 seconds 52.24 seconds 111.19 seconds
The time it take riders to pass over the hill and reach ground level is 111.19 seconds .
Given :
the roller coaster's height expressed by the equation below;
h = -0.067t^2 + 7t + 50
where
t is the time in seconds
The driver will hit the ground at the point where h = 0
Substitute
-0.067t^2 + 7t + 50 = 0
Multiply through by -1
0.067t^2 - 7t +-50 = 0
Factorize :
On factorizing, the positive value of "t" is 111.19 seconds
Hence the time it take riders to pass over the hill and reach ground level is 111.19 seconds
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When I was 4 years old my sister was half of my age.Now I am 100 years. How old is my sister?
Answer:
when you 4, your sister is 2 years old
now that you 100, your sister should be 50 years old
half equal x/2 x indicates 100
find the distance between the two points rounding to the nearest 10th! PLS HELP ASAP!!!!
Answer:
8.5
Step-by-step explanation:
d = √[(-7+1)²+(-1-5)²]
= √[(-6)²+(-6)²]
=√(36+36)
=√72
= 8.5
Answer:
8.5
Step-by-step explanation:
we can plug those coordinates into the distance formula
d = √(x2 - x1)2 + (y2 - y1)2
d= √((-7)-(-1)^2+((-1)-(5)^2
d = √36+36
d=√72 = 8.48 or 8.5
tell me how to solve 3 1/2 x 2 3/4
Answer:
9.625
Step-by-step explanation:
(3 1/2) x (2 3/4) = 9.625
Answer:
.........................
The formula K=C+273.15 converts temperatures from Celsius C to Kelvin K.
a. Solve the formula for C.
Answer:
C= K-273.15
Since you're adding 273.15 to celsius to get kelvin, you basically just to the reverse of that.
What is the area of the two-dimensional cross section that is parallel to face abc? enter your answer in the box. Ft².
The area of a two-dimensional cross-section depends on the shape it represents, such as a square, rectangle, triangle, circle, or any other polygon. Each shape has its own formula for calculating its area.
In order to determine the area of the cross-section, we need additional information such as the shape of the cross-section, its dimensions, or any other relevant details. Without this information, it is not possible to calculate the area. Please provide more details or a specific shape or scenario so that an accurate answer can be generated. Once the shape is specified, the appropriate formula can be applied to calculate the area.
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Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop. How much she make in a workweek if she sold $4,800 worth of merchandise?
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.
How to calculate the value?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:
= $365 + (5% × $4800)
= $605
The amount is $605.
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the 3px, 3py, and 3pz orbitals look the same, but they point in different directions. T/F?
True. The 3px, 3py, and 3pz orbitals are similar in shape but differ in their orientation or direction.
The p orbitals are one type of orbital that corresponds to the angular momentum number l = 1. These p orbitals are designated as 3px, 3py, and 3pz to indicate their orientations along the x, y, and z axes, respectively.
The p orbitals have a shape with a node at the nucleus. They consist of two lobes of electron density, one on either side of the nucleus, separated by a region of zero electron density. The lobes are oriented along the designated axes. The 3px orbital points along the x-axis, the 3py orbital points along the y-axis, and the 3pz orbital points along the z-axis. Although they have different orientations, their shapes and sizes are the same.
So, while the 3px, 3py, and 3pz orbitals differ in their orientation in space, they share the same overall shape and size.
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Find a solution of the initial-value problem.y′=−(14)y2,y(0)=1.
To solve the given initial-value problem, we can separate the variables and integrate both sides. The final answer is Therefore, the solution to the initial-value problem is y = \(\frac{-1}{(-14t - 1)}\), where y(0) = 1.
Given: y' = \(-(14)y^2\\\)
Initial condition: y(0) = 1
Separating variables:
\(\frac{Dy}{y^2 }\)= -14 dt
Integrating both sides:
∫(\(\frac{1}{y^2}\)) dy = ∫-14 dt
Integrating the left side:
\(\frac{-1}{y}\)= -14t + C1
Solving for y:
y = \(\frac{-1}{-14t + C1}\)
Using the initial condition y(0) = 1:
1 = \(\frac{-1}{C1}\)
C1 = -1
Substituting the value of C1 back into the solution:
y = \(\frac{-1}{(-14t - 1)}\)
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Jeweler has 36 inches of silver chain. she needs 4 times that much to make some necklaces and 3 times that amount to make some bracelets. how much silver chain does the jeweler need to make her necklaces and bracelets? the jeweler needs necklaces and bracelets. inches of silver chain to make her
Jeweler needs 144 inches of silver chain to make the necklaces and 108 inches of silver chain to make the bracelets.
What is defined as multiplication?Multiplication, along with addition, subtraction, and division, is one of the four fundamental arithmetic operations. Multiplication in mathematics refers to the repeated addition of gatherings of equal size.The signs cross (x), asterisk (*), and dot (.) represent multiplication.The commutative property states so when we multiply 2 numbers, the order has no effect on the product.The Associative Property states because if we multiply three or more numbers one after the other, this same order does not matter.For the given question;
The total length of silver chain jeweler had = 36 inches.
Length of silver chain required to make necklaces = 4 times.
So, multiply 36 with 4 to get the result;
36 x 4 = 144.
Thus, the silver chain required to prepare the necklaces is 144 inches.
For the making of bracelets = 3 times the length of silver chain.
So, multiply 36 with 3 to get the result.
36 x 3 = 104
Thus, the length of silver chain required to prepare bracelets is 104 inches.
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i need help to find x
Answer:
about 19.3
Step-by-step explanation:
you are given two angles and a side so use Law of Sines
label all the angles and sides so it is easier: the square angle is angle A, the 48 degree angle is angle C, and the other angle is angle B. Therefore the side between A and C is side b, the side between A and B is side c, and the side between C and B is side a
use the Law of Sines; we already know the measure of angle C and the length of side c for reference
\(\frac{c}{sineC} =\frac{a}{sineA} \\\\\frac{14.3}{sin48} =\frac{a}{sine90} \\\\\frac{14.3}{0.74} =\frac{a}{1} \\\\19.3=\frac{a}{1} \\\\a=19.3\)
so x measures about 19.3
Write TRUE if tue statement is correct and FALSE if it is wrong.
1. The additive inverse of 10 is -10.
2. Zero is a positive number.
3. To divide two unlike signs, the quotient is always positive.
4. Commutative Property states that:
a + (b + c ) = (a + b ) + c
5. One is the identity element of for addition.
Identify the following.
1. It is a distance from zero to any point.
2. A set of number from negative, zero and positive numbers.
3. A horizontal and vertical line with equal scale of negative, zero and positive numbers.
4. It is neither positive nor negative.
5. It is the highest negative number.
Write the appropriate symbols ( < , > or = )
1. /-8/ ___ /64/
2. - /12/ ___ /-12/
3. - /10/ ___ /64/
4. /0/ ___ /-30/
5. /-9/ ___ /9/
Evaluate the following.
1. 2 - (-4). 11. 5 x (-5)
2. -11 - 9. 12. (-7)(-2)
3. -8 - (-10). 13. -2 x 10
4. 11 - (-10). 14. (2)(-3)(0)
5. 12 - 15. 15. -7 x (-8)
6. 4 + (-4). 16. -14 ÷ (-2)
7. -11 + (-10). 17. -8 ÷ -8
8. -33 + 10. 18. 15 ÷ (-3
9. 6 + (-12). 19. 0 ÷ 100
10. -21 + 15. 20. 100 ÷ 0
Perform the indicated operation.
1. 2.35 x 0.15
2. 10.75 ÷ 0.25
3. 786.923 - 22.02
4. 1123.97 + 123.56
5. (96.25 + 86.5) - (6.25 ÷ 1.25)
Solve the following.
1. Daniel spent 4 hours for his internet. If he is charge 12 pesos per hour, how much would he pay for the use?
2. Katrine bought 4 egg trays. Two eggs were bad in every tray. How many good eggs did Kathrine get?
3. One of the BTS members recorded the change in temperature last Monday. At 9am the temperature was 24°C. By noon, increased by 8°C and by 4pm decreased by 5°C. What was the temperature by 4pm?
4. What integer must be added to -4 to get 15?
5. What integer must be subtracted from -15 to get 11?
1. In a survey, students were asked about their favorite meal. The results are as follows:
132 likes Fish
163 likes Meat
73 likes Vegetable
51 likes Meat and Vegetables
36 likes Fish and Meat
38 likes Fish and Vegetables
22 likes all
Find the following ( use Venn diagram)
a. the number who likes Fish only
b. the number who likes Meat only
c. the number who likes Vegetable only
d. the total number in the survey.
2. Mathematics Club starts with 5 members. Each member brings two members to the next meeting. If this continues, how many people will attend in the 7th meeting?
3. A crab was trapped at the bottom of a 12 meter hole. Each day ot climbed up 3 meters but slide back 2 meters at night. How many days will it take the crab to get out of the hole?
can someone help me answering this pweaseee im begging u pwease im tho dum dum
Answer:
The answers are as follows:
TrueFalseFalseFalseFalseStep-by-step explanation:
Let us look at the statements one by one
1. The additive inverse of 10 is -10.
The additive inverse of a number is the opposite of a number with respect to sign.
The sum of a number and its additive inverse is zero.
\(10+(-10) = 10-10 = 0\)
This statement is true.
2. Zero is a positive number.
Zero is neither a positive number nor a negative number. It is only used as reference to decide whether a number is positive or negative.
This statement is false.
3. To divide two unlike signs, the quotient is always positive.
When two unlike signs are divided, the answer will be negative as division involves multiplication, and multiplication of two numbers with unlike signs will always be negative.
This statement is false.
4. Commutative Property states that:
a + (b + c ) = (a + b ) + c
Commutative property deals with two numbers or variables only. The property with three numbers or varibales is associative property. Hence,
This statement is false.
5. One is the identity element of for addition.
Additive identity is a number that when added to a number x, the result will always be x. Zero is additive identity.
Hence,
This statement is false.
The answers are as follows:
TrueFalseFalseFalseFalseUse the Venn diagram to calculate probabilities.
Circles A, B, and C overlap. Circle A contains 12, circle B contains 11, and circle C contains 4. The overlap of A and B contains 5, the overlap of B and C contains 3, and the overlap of C and A contains 6. The overlap of the 3 circles contains 8.
Which probabilities are correct? Select two options.
In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.
The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.
We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.
The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).
This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.
Therefore, the correct probabilities are:1.
The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.
The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3
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de mediaan 8/10 - 7/10 - 7/10 - 3/10 - 4/10 - 0/10 - 10/10 - 5/10 - 3/10 - 1/10
Answer:
The fifth and sixth number would be the median.Therefore its 4/10 or 0/10
Answer:
median is 4/10 or 0/10
What is the radius of a sphere with a volume of 41572 cm', to the nearest tenth of a
centimeter?
We know that,
Volume of sphere = 4/3πr³
41572 = 4/3 × 22/7 × r³
41573 × 21/88 = r³
³√9,920.82 = r
21.48 cm = r
:)
The radius of a sphere with a volume of 41572 cm³ is,
⇒ 21.4 cm
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Now, To find the radius of a sphere with a volume of 41572 cm³, we can use the formula for the volume of a sphere as;
⇒ V = (4/3)πr³
where V is the volume and r is the radius.
Hence, We can rearrange this formula to solve for r:
⇒ r = ∛ (3V/4π)
Substituting the given volume, we have:
r = ∛ (3(41572)/4π)
r ≈ 21.4 cm
Therefore, the radius of the sphere to the nearest tenth of a centimeter is 21.4 cm.
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calculate the median of 2 4 6 8 10 12
Answer:
7
Step-by-step explanation:
The middle 2 numbers are 6 and 8. Add them both up and divide them by 2. Gets you 7.
your subject-matter expert tells you that her most likely estimate to complete her task is 40 hgours. the task starts on thrusday, january 20, at 8 a.m.
The correct answer is Wednesday, January 26, at 4 p.m when your subject-matter expert informs you that she believes it will take her 40 hours to finish the work.
Given that,
Your subject-matter expert informs you that she believes it will take her 40 hours to finish the work. The project begins on January 20 at 8 a.m. The staff only works throughout the weekdays, eight hours a day.
We have to find when will the assignment be completed.
We know that,
This simple table explains the answer
Thursday, January 20, at 4 p.m. - 8 hours worked
Friday, January 21, at 4 p.m. - 16 hours worked
Monday, January 24, at 4 p.m. - 24 hours worked
Tuesday, January 25, at 4 p.m. - 32 hours worked
Wednesday, January 26, at 4 p.m. - 40 hours worked
Therefore, The correct answer is Wednesday, January 26, at 4 p.m when your subject-matter expert informs you that she believes it will take her 40 hours to finish the work.
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Find x, y, and z such that x³+y³+z³=k, for each k from one to 100.
I cant figure it out
The equation for x, y, and z is such that x³+y³+z³=k, for each k from one to
100.x³+y³+z³=k,
x = ∛k,
y = 0,
z = 0 will satisfy
Find x, y, and z such that x³+y³+z³=k, for each k from one to 100.?Generally, the equation for k is mathematically given asx³+y³+z³=k Given the loose nature of the restrictions and the lack of knowledge about the integer nature of x, y, and z, this question has several answers.at
k = 1x= 1 , y = 0 , z = 0x =0 , y = 1 , z = 0x = 0 , y = 0 , = 1
at k = 2x= 1 , y = 1 , z = 0x =0 , y = 1 , z = 1x = 1 , y = 0 ,
= 1at k = 3x= 1 , y = 1 , z = 3x = 1 , y = 1 , z = 1x = 1 , y = 0 ,
= 1at k = 4x=∛3 , y = 1 , z = 0
x=∛2 , y = ∛2 , z = 0
x=∛2 , y = 1 , z = 1
x³+y³+z³=k,
x = ∛k , y = 0 , z = 0 will satisfy
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How much does Jill have in liquid assets if her car is worth $4,500 and she has $1,110 in a savings account and $532 in her checking account?
The correct answer is 2858.
write as a product x^2 + y^2 +2xy-1
Answer:
(x + y + 1)(x + y - 1)
Step-by-step explanation:
\( {x}^{2} + {y}^{2} + 2xy - 1 \\ \\ = {(x + y)}^{2} - {(1)}^{2} \\ \\ = (x + y + 1)(x + y - 1)\)
Combine like terms to create an equivalent expression. −
3. 6
−
1. 9
�
+
1. 2
+
5. 1
�
−3. 6−1. 9t+1. 2+5. 1tminus, 3, point, 6, minus, 1, point, 9, t, plus, 1, point, 2, plus, 5, point, 1, t
After combining like terms to create equivalent expression we get (-1.9 + 1.2) + (5.1 - 3.6)t. Simplifying further, we get: -0.7 + 1.5t.
To combine like terms, we add or subtract the coefficients of the same variables. In this case, the variables are t and the constant terms (without variables) are -3.6, -1.9, and 1.2.
So the equivalent expression after combining like terms is:
(-1.9 + 1.2) + (5.1 - 3.6)t
Simplifying further, we get:
-0.7 + 1.5t
A coefficient is a numerical factor that is multiplied by a variable in an algebraic expression. It tells you how many times the variable appears in the expression. For example, in the expression 3x + 2, the coefficient of x is 3. Variables are symbols used to represent unknown quantities in mathematical equations or expressions. They can take on different values, and their value can be solved for using algebraic techniques. Equivalent expressions are expressions that have the same value for all possible values of the variables involved. For example, 2x + 4 and 4 + 2x are equivalent expressions since they simplify to the same value. Equivalent expressions can be useful in simplifying and solving algebraic equations.
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Complete Question
Combine like terms to create an equivalent expression. −
3. 6−1. 9+1. 2+5. 1 −3. 6−1. 9t+1. 2+5.
If anyone can help me with this problem!! I would greatly appreciate it.
AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides of given triangle.
What is triangle?
A triangle is a two-dimensional geometric shape that has three sides, three angles, and three vertices. It is one of the simplest polygonal shapes and is commonly studied in geometry.
Since we have:
∠A ≅ ∠Y
∠B ≅ ∠X
∠C ≅ ∠Z
We can conclude that the two triangles ABC and XYZ are similar by the Angle-Angle (AA) similarity theorem.
Therefore, the corresponding sides of the two triangles are proportional to each other. We can write this as:
AB : YX = BC : XZ = AC : YZ
where AB and YX are corresponding sides, BC and XZ are corresponding sides, and AC and YZ are corresponding sides.
In other words, the ratio of the length of each side in triangle ABC to the corresponding side in triangle XYZ is constant.
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Sketch a graph to represent the situation. Label each section.
You buy two shirts. The third one is free.
all and
Answer:
for every 2 shirts, the 3rd is free
Step-by-step explanation:
Consider the vector field F(x,y,z)=(−2y,−2x,7z)F(x,y,z)=(−2y,−2x,7z). Show that F is a gradient vector field F=∇V by determining the function V which satisfies V(0,0,0)=0.
To show that the vector field F(x, y, z) = (-2y, -2x, 7z) is a gradient vector field, we need to find a scalar function V(x, y, z) such that its gradient, ∇V, is equal to F. We can determine the function V by integrating the components of F with respect to their respective variables.
Let's find the function V(x, y, z) by integrating the components of F(x, y, z) = (-2y, -2x, 7z) with respect to their variables.
∫-2y dx = -2xy + g(y, z)
∫-2x dy = -2xy + h(x, z)
∫7z dz = 7/2 z^2 + k(x, y)
We can see that -2xy is a common term in the first two integrals. Similarly, we observe that there are no common terms between the first and third integrals, as well as the second and third integrals. Therefore, we can assume that g(y, z) = h(x, z) = 0, since they will cancel out in the subsequent calculations.
Now, we can rewrite the integrals:
∫-2y dx = -2xy + C1(y, z)
∫-2x dy = -2xy + C2(x, z)
∫7z dz = 7/2 z^2 + C3(x, y)
By comparing these integrals with the components of the gradient vector, we can conclude that ∇V = (-2y, -2x, 7z), where V(x, y, z) = -xy + 7/2 z^2 + C.
To determine the constant C, we use the condition V(0, 0, 0) = 0:
V(0, 0, 0) = -(0)(0) + 7/2 (0)^2 + C = 0
C = 0
Therefore, the function V(x, y, z) that satisfies V(0, 0, 0) = 0 is V(x, y, z) = -xy + 7/2 z^2. Thus, the vector field F(x, y, z) = (-2y, -2x, 7z) is indeed a gradient vector field F = ∇V.
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