a. Sketch the region of integration in the XY-plane.
b. Reverse the order of integration.
c. Evaluate the integral.
(a) The integral is a double integral, which means that the region of integration is a region in the XY plane. The region of integration is defined by the limits of integration for x and y. However, since the limits of integration are not given, it's not possible to sketch the region of integration in the XY plane.
(b) The integral is already written with the order of integration reversed.
(c) Without the limits of integration, it is not possible to evaluate the integral. The limits of integration are necessary to determine the region of integration, and thus the range of values for x and y over which the integral is to be taken. Without this information, it is not possible to carry out the evaluation of the integral.
To learn more about the integral at
https://brainly.com/question/18125359?referrer=searchResults
#SPJ4
Sam weighed 105 lbs. before the holidays. She now weighs 110 lbs. Find the Percent of Change.
Answer:
5%
Step-by-step explanation:
105=100
110=x
*cross multiply*
=100x110/105
=104.76
=100-105
=5%
subtract the answer gotten with the 100 %
Luis gana actualmente 12000 pesos mensuales cuánto ganaría si su salario incrementa 14%
Luis genera $13680 al mess, sir se incremental un 14% ell valor de sub seldom actual.
What is Luis grana accumulate incremental ?De actedron con las condictiones dadas, planter=12000*(14% + 1)
Calculary loss dos primero's terminus =12000*1.14
Calculary loss dos primero's terminus =13680
get the result=13680
Explication paso a paso:
multiplicate ell 14% de 12.000= 1.680
le sulfas ese 1.680 a 12.000 y tee da ell resulted de 13.680
To learn more about incremental salary refers to;
https://brainly.comt/tarea/26239109
#SPJ1
brooke has a square yard with grass and gravel parts as shown. The perimeter of the part covered in gravel is 22 meters. what is the area of the grass section of Brookes yard
Brooke's yard is a square with a side length of 22 meters.
What is perimeter?Perimeter is the total distance around the outside edge of a two-dimensional shape. Perimeter is a measure of the length of the boundary of a shape and is typically expressed in units of length, such as feet or meters. Calculating the perimeter of a shape can help you measure the size of a yard, garden, or other outdoor area.
Since the perimeter of the part covered in gravel is 22 meters, we can use the formula for the perimeter of a square (4s) to find the length of one side of the square. Therefore, the side length of the part covered in grass is 4s = 22, or s = 5.5 meters.
Using the formula for the area of a square (A = s²), we can calculate the area of the grass section of Brooke's yard. The area of the grass section of Brooke's yard is A = s²= 5.5²= 30.25 square meters.
To know more about perimeter click-
https://brainly.com/question/19819849
#SPJ1
NO LINKS!!
Finish the table below:
n t(n)
1 7.5
2 3.75
3 1.875
4
5
b. Name the type of sequence
c. Find an equation for the sequence
Answer:
a) See below.
b) Geometric sequence
[tex]\textsf{c)} \quad a_n=7.5(0.5)^{n-1}[/tex]
Step-by-step explanation:
Part (a)From inspection of the given table, t(n) halves each time n increases by 1.
Therefore:
[tex]\implies a_4=1.875 \div 2 = 0.9375[/tex]
[tex]\implies a_5=0.9375 \div 2 =0.46875[/tex]
Completed table:
[tex]\begin{array}{|c|c|}\cline{1-2} \vphantom{\dfrac12} n&t(n) \\\cline{1-2} \vphantom{\dfrac12} 1& 7.5\\\cline{1-2} \vphantom{\dfrac12} 2& 3.75\\\cline{1-2} \vphantom{\dfrac12} 3&1.875 \\\cline{1-2} \vphantom{\dfrac12} 4& 0.9375\\\cline{1-2} \vphantom{\dfrac12} 5& 0.46875\\\cline{1-2} \end{array}[/tex]
Part (b)As the given sequence has a constant ratio of 0.5, it is a geometric sequence.
Part (c)[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}[/tex]
The first term of the sequence is 7.5. Therefore,:
a = 7.5The common ratio is 0.5. Therefore:
r = 0.5Therefore, to write an equation for the given geometric sequence, substitute the found values of a and r into the formula:
[tex]a_n=7.5(0.5)^{n-1}[/tex]Express the absolute value function f(x) = -7|x| as a piecewise-defined function.
Answer:1111
Step-by-step explanation:1111
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 81 N acts on a certain object, the acceleration of the object is 9m/2 . If the acceleration of the object becomes ms/2, what is the force?
If the acceleration of the object becomes 3 m/s^2, the force is equal to 27 Newton.
What is a direct proportion?Mathematically, a direct proportion can be represented the following mathematical expression:
y = kx
Where:
y represents the force.x represents the acceleration.k represents the constant of proportionality.Next, we would determine the constant of proportionality (k) as follows:
Constant of proportionality (k) = y/x
Constant of proportionality (k) = 81/9
Constant of proportionality (k) = 9.
For the force when the acceleration of the object becomes 3 m/s^2, we have:
y = kx
y = 9(3)
y = 27 Newton.
Read more on acceleration here: https://brainly.com/question/11786960
#SPJ1
Complete Question:
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 81 N acts on a certain object, the acceleration of the object is 9 m/s^2. If the acceleration of the object becomes 3 m/s^2, what is the force?
Mindy and Troy combined ate 999 pieces of the wedding cake. Mindy ate 333 pieces of cake and Troy had \dfrac14
4
1
start fraction, 1, divided by, 4, end fraction of the total cake.
The expression is 3 + c/4 = 9 and the total pieces of care are 24.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator).
Given total cake eaten by mindy and troy = 9 pieces
Mindy ate = 3 pieces of cake
Troy = had ¼ of the total cake.
let there be c pieces of cake,
troy ate = c/4
Let Mindy ate be a and troy ate be b
a + b = 9
and a = 3, b = x/4
3 + c/4 = 9
c = 6 * 4
c = 24
Hence the equation is 3 + c/4 = 9 and there are 24 pieces of cake.
Learn more about expression;
https://brainly.com/question/14083225
#SPJ1
the correct question is ,
Mindy and Troy combined 9 pieces of the wedding cake .Mindy ate three pieces of cake and Troy had 1/4 of the total cake
write an equation to determine how many pieces of cake (c) there were in total
Which of the following is true of z scores that fall below the mean?
O Group of answer choices
O They are negative.
O They are equal to the mode.
O They are positive.
O They are in the upper half of the distribution.
The truth of z scores that fall below the mean is - they are negative. Option(b) is the correct answer.
A z-score called a standard score gives an idea of how far from the mean a data point is. But technically it is a calculation of how many standard deviations below or above the population mean a raw score is.
A z-score can place on a normal distribution curve. Z-score ranges from -3 standard deviations up to +3 standard deviations.
A z-score is equal to 0 means that it is on the mean. A positive z-score shows the score is higher than the mean average.
A negative z-score reveals the score is below the mean average.
Read more about mean:
https://brainly.com/question/1136789
#SPJ4
The combination lock has three wheels each numbered from 0 to 9 what is the possibility that someone randomly guesses the correct combination in five attempts?
The possibility that someone randomly guesses the correct combination in five attempts is 1/200
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Given;
There are three wheels
Each numbered from 0 to 9
For the first wheel, you have 10 possible digits.
For the second wheel, you have 10 possible digits.
For the third wheel, you have 10 possible digits.
10 x 10 x 10 = 1000
For 5 attempts= 5/1000
=1/200
Therefore, the probability will be 1/200
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ1
Sketch the graph of h(x) = g (x+3) -6
Therefore , the solution of the given problem of graph comes out to be
x = 0 , y =22 and x= 1 , y=23.
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle
Here,
Given :
=> h(x) = g(x+3) - 6
g(x) = x+ 25
So,
=> g(x+3) = x +3 + 25 = x+28
and
=> h(x) = x + 28 -6
=>y= h(x) = x+ 22
Thus,
y= x+22
the points which can be graph area:
=> x = 0 , y =22
=> x= 1 , y=23
Therefore , the solution of the given problem of graph comes out to be
x = 0 , y =22 and x= 1 , y=23.
To know more about graphs visit:
https://brainly.com/question/11950136
#SPJ1
Use this information to evaluate the following. Hint: do not try to solve for the value of a. loga 2 = 0.36 loga 3 = 0.56 logą 5 = 0.83 (a) loga 15 = 1.39 kor. (E) - log, (b) -.47 (c) log, (8a*) = 8.72
a) To evaluate loga 15, we can use the property of logarithms that states logab = loga + logb. Since 15 = 3 * 5, we can use this property to find that loga 15 = loga 3 + loga 5. Since loga 3 = 0.56 and loga 5 = 0.83, we can add these values to find that loga 15 = 0.56 + 0.83 = 1.39.
The power to which a number must be increased in order to obtain additional values is referred to as a logarithm. The easiest approach to express enormous numbers is this manner.
Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms may also be represented as multiplication and division of logarithms.
b) To evaluate loga(2/5), we can use the property of logarithms that states log(a/b) = loga - logb. Since 2/5 = 2*(1/5) we can use this property to find that loga(2/5) = loga2 - loga(1/5). Since loga2 = 0.36 and loga(1/5) = -loga5, we can subtract these values to find that loga(2/5) = 0.36 - 0.83 = -0.47
c) To evaluate loga (8a^4), we can use the property of logarithms that states log (a^n) = nloga. We get, loga (8a^4)=loga 8 + log (a^4)
=> loga 8 + loga (a^4)
=>3loga 2 + 4 loga a
=>3loga 2 + 4
=>3 * 0.36 + 4
=5.08
To know more about logarithms refer to:
brainly.com/question/30085872
#SPJ4
Calcula el volumen de un prisma cuya base es un rombo de diagonales 12 y 18 cm
So on solving the provided question we can say that - Area of prism,
Area, A = 2(wl+hl+hw) = 180 sq units
what is prism?The definition of a prism in geometry is a polyhedron with an n-sided polygonal base, a second base that is a shifted copy of the first base, and n additional faces (necessarily all parallelograms), with two Connect the corresponding sides of the base. Translations of the base are all cross sections that are parallel to it. A prism is a two-sided, solid, three-dimensional object. It consists of equal cross-sections, flat sides, and identical bases. A prism has faces that are parallelograms or rectangles without bases. A prism is a homogenous, solid, transparent, refracting object enclosed by two planes that are obliquely angled to one another. Two triangular faces and three parallel rectangular faces make up a typical prism. They are constructed of either glass.
Area, A = 2(wl+hl+hw)
A = 2(20 + 40 + 30)
A = 2(90)
A = 180sq units
To know more about prism visit:
https://brainly.com/question/27914026
#SPJ1
The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.
x2 = 3/5, x1 = 9/4, and x3 = 2/3 of the row-echelon form of the augmented matrix are the answers to the equations.
what is unitary method ?The unit technique is a method of problem-solving where you first calculate the value of a single unit, then multiply that value to get the answer. Simply expressed, a single unit value is extracted from a specified multiple using the unit method. For instance, 40 pens will set you back 400 rupees, or $1.01. The method used to accomplish this might be standardized. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint and reciprocal are equivalent. (Linear Algebra, Mathematical Analysis, Mathematics of Matrix or Operators)
given
Replace the variable in the equation with the given integer.
Check to see if the resulting equation is correct. The number is not a solution if it is false.
x2 = 3/5, x1 = 9/4, and x3 = 2/3 of the row-echelon form of the augmented matrix are the answers to the equations.
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ1
Help to count area, i’am too bad for this, thank’s
Answer:
a) 93 cm²
b) 98 cm²
Step-by-step explanation:
You want the areas of the squares shown in each of the figures.
Pythagorean theoremThe Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides of a right triangle.
a)The square of the hypotenuse is 17² = 289.
The sum of the squares of the other two sides is ...
shaded square + (14)² = 17²
shaded square + 196 = 289
shaded square = 289 -196 = 93 . . . . cm²
Sabcd = 93 cm².
b)The square of the diagonal is the sum of the squares of the sides. Each of those squares is the area of interest:
14² = (shaded square) + (shaded square)
196 = 2(shaded square)
98 = shaded square
Sabcd = 98 cm².
__
Additional comment
Perhaps you have seen the attached figure. It is intended to show the squares on each of the legs of the right triangle, and to illustrate that the sum of the areas of the green and purple squares is the area of the red square. This figure compares to the one for part (a) of the problem.
a² +b² = c² ⇒ a² = c² -b²
Serena is cycling from dance class to her home. The equation shows Serena's distance (y), in miles, from her home after x minutes:
y = 16 − 6x
What does the number 16 in the equation represent? (1 point)
a
Serena's distance from home when she begins cycling
b
Serena's distance from the dance class when she begins cycling
c
The speed at which Serena is cycling from the dance class to her home
d
The rate of change of Serena's speed while cycling from the dance class to her home
In linear equation, 16 is represent The speed at which Serena is cycling from the dance class to her home
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
6x + y = 16
6x = 16 - y
x = 8/3 - y/6
Learn more about linear equation
brainly.com/question/11897796
#SPJ1
A rectangle has a perimeter of 112. If the sides are 5x & 3x + 5, what is x and what are each of the sides?
The value of X is 7.625 while the two sides are 38.125 and 27.875.
To find the perimeter:Perimeter = 2(L+B)
112 = 2(5x + 3x + 5)
112 = 2(8x + 5)
Dividing both sides by 2
56 = 8x + 5
56 + 5 = 8x
61 = 8x
x = 61/8
x = 7.625
The sides are;
5x = 5(7.625)
5x = 38.125
3x + 5 = 3(7.625) + 5
3x + 5 = 22.875 + 5
3x + 5 = 27.875
Learn more about perimeter here: https://brainly.com/question/19819849
#SPJ1
Ayden owns a food truck that sells tacos and burritos. He only has enough supplies to make 120 tacos or burritos. He sells each taco for $3-75 and each burrito for $6.25.
Ayden must sell no less than $530 worth of tacos and burritos each day. Also, he can sell at most 70 burritos. If a represents the number of tacos sold and y represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
see below for a graph
(x, y) = (50, 60) . . . . one possible solution
Step-by-step explanation:
You want inequalities, their graph, and one possible solution to match the Ayden food truck scenario: a total of 120 tacos (x) or burritos (y) can be sold, with that total including at most 70 burritos. At $3.75 per taco and $6.25 per burrito, revenue must be at least $530.
InequalitiesAn inequality can be written for each constraint:
total number of tacos and burritos: x + y ≤ 120
minimum revenue: 3.75x +6.25y ≥ 530
maximum burritos: y ≤ 70
GraphThese are graphed in the attachment. The point (x, y) = (50, 60) represents one possible solution: 50 tacos and 60 burritos sold for $562.50.
Joe needs to transfer 28 quarts of oil into one-gallon containers. Joe calculated that he needs 112 containers, but he made a mistake in his calculations. Identify and correct his error.
28 quarts times 4 quarts over 1 gallon = 28 over 1 quarts times 4 quarts over 1 gallon, = 28 times 4 over 1 times 1 gallons = 112 gallons.
Skip to navigation
Joe made a mistake in his calculations by multiplying 28 quarts by 4.
How to illustrate the word problem?To know the mistake that Joe made and the possible correction, we shall convert 28 quart to gallon.
Recall that 4 quart = 1 gallon
Therefore, 28 quart will be:
= 28 quart × 1 gallon / 4 quart
28 quart = 7 gallon
Therefore, 28 quarts is equivalent to 7 gallons.
Hence, Joe made a mistake in his calculations by multiplying 28 quarts by 4 instead of dividing 28 quart by 4.
Learn more about word problem on
https://brainly.com/question/21405634
#SPJ1
Graph -3x2+12y2=84 . What Are The Domain And Range?
The domain and range of the given graph function is R.
The equation -3x^2 + 12y^2 = 84 represents an ellipse in the coordinate plane. The standard form of an ellipse is (x^2/a^2) + (y^2/b^2) = 1, where a and b are the lengths of the semi-major and semi-minor axis, respectively.
To put the given equation in standard form, we need to divide both sides by 84, and divide the x^2 and y^2 by the square of their respective coefficient:
(-3/84)x^2 + (12/84)y^2 = 1
This gives us x^2/ (84/-3)^2 + y^2/ (84/12)^2 = 1
Which gives us x^2/28 + y^2/7 = 1
This means that the semi-major axis has a length of 2sqrt(7) and the semi-minor axis has a length of sqrt(7).
The domain of this function is all real numbers, because the x values can take any real value.
The range of this function is also all real numbers, because the y values can take any real value, within the boundaries of the ellipse.
So, the domain and range of the function -3x^2 + 12y^2 = 84 is all real numbers.
Read more about Domain and Range:
https://brainly.com/question/1632425
#SPJ4
Please help !! I can’t find the answer
Examine the triangle below, solve for x and y, rounded to two decimal places.
X=
y=
30°
16
X
y
Last year, Ivan opened an investment account with 8600. At the end of the year, the amount in the account has decreased by 6%
Rose had 10 cookies she gave away 5 cookies to her friends she baked 20 more how many cookies does rose to have in all?
Answer: 25
Step-by-step explanation:
simple math
Answer:
25 cookies
Step-by-step explanation:
After she gives away 5 of her 10 cookies she is left with 5 cookies. Then she bakes 20 more. So you add 5 cookies to 20 cookies, and you get 25 cookies.
Or in total with all of the cookies she had before she gave away 5 of the 10, and the newly baked 20 cookies she has 30 cookies.
-Hope this helped
Which verbal expression best represents the equation 2(n - 7) = -14
Answer:
See below
Step-by-step explanation:
You could say "2 times the difference between n and 7 is equal to -14"
(Brainliest)(7th grade)Find x and y of this obtuse triangle.
Here are the weights (in pounds) of a sample of 13 male eleventh graders.
148, 140, 159, 141, 151, 156, 173, 167, 160, 159, 146, 174, 170
Send data to calculator
Find the median weight of these students.
pounds?
Answer:
159
Step-by-step explanation:
Median = When ordered least to greatest, the number in the middle
140, 141, 146, 148, 151, 156, 159, 159, 160, 167, 170, 173, 174
A zebra can run at a constant speed of 0.6 miles per minute. How far can a zebra run in 30 minutes?
Answer:
To find how far a zebra can run in 30 minutes, we need to multiply its speed by the amount of time it runs.
Distance = speed x time
In this case, the speed of the zebra is 0.6 miles per minute and the time it runs is 30 minutes.
Distance = 0.6 miles/min x 30 min = 18 miles
So, a zebra can run 18 miles in 30 minutes at a constant speed of 0.6 miles per minute.
Answer:
18 miles
Step-by-step explanation:
0.6 -----> 1
x -----> 30
30×0.6= 18
Find ALL the missing side lengths and angle measurements
The measure of angle L is 66 degrees, which is found using the sum of the internal angle of a triangle. The length is 3.56 units.
What are internal angles?A polygon's interior angle is the angle created between its two adjacent sides. Alternately, we may state that the internal angle of a polygon refers to the angle measured at the interior portion of a polygon.
Given that the measure of angle M is 24 degrees and angle K is 90 degrees.
The sum of internal angles of a triangle is 180 degrees, thus:
[tex]\angle M + \angle K + \angle L = 180\\\\24 + 90 + \angle L = 180 \\\\\angle L = 66[/tex]
The length of side LK can be found as follows:
tan 24 = LK / MK
tan 24 = LK / 8
0.44 * 8 = LK
LK = 3.56 units.
The length of LM can be found by applying the Pythagorean theorem.
Learn more about triangle here:
https://brainly.com/question/2773823
#SPJ1
In ΔXYZ, x = 830 cm,
m
m∠Y=141° and
m
m∠Z=25°. Find the length of z, to the nearest 10th of a centimeter.
=======================================================
Explanation:
Use the two given angle measures (Y and Z) to find angle X.
X+Y+Z = 180
X+141+25 = 180
X+166 = 180
X = 180-166
X = 14
Angle X is 14 degrees.
-----------
Now use the law of sines to determine side length z.
Make sure your calculator is in degree mode.
z/sin(Z) = x/sin(X)
z/sin(25) = 830/sin(14)
z = sin(25)*830/sin(14)
z = 1449.9438
z = 1449.9 cm is the final answer.
The solution is : the length of z, to the nearest 10th of a centimeter is, 1449.9 cm.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
Explanation:
Use the two given angle measures (Y and Z) to find angle X.
X+Y+Z = 180
X+141+25 = 180
X+166 = 180
X = 180-166
X = 14
Angle X is 14 degrees.
Now use the law of sines to determine side length z.
z/sin(Z) = x/sin(X)
z/sin(25) = 830/sin(14)
z = sin(25)*830/sin(14)
z = 1449.9438
z = 1449.9 cm is the final answer.
Hence, The solution is : the length of z, to the nearest 10th of a centimeter is, 1449.9 cm.
To learn more on triangle click:
brainly.com/question/29126067
#SPJ2
Which answer describes the graph of the system of equations?
The point of intersection is (0, 4).
The point of intersection is (4, 0).
The lines are parallel.
The lines coincide.
There must be several solutions for which the lines of the equation coincide for an equation system to be a dependent consistent system. D is the right answer.
What is a System of equations?The lines of the equations must be parallel to one another for a system of equations to have no meaningful solution.
Consistent Method
First, Dependent Consistent System
There must be several solutions for which the lines of the equation coincide for an equation system to be a dependent consistent system.2. Independent Consistency SystemA system of equations must have a single unique solution for which the equation's lines must intersect at a certain location in order to qualify as an Independent Consistent System.It is clear that the lines coincide if the graph of the given system of equations is drawn as shown below. Therefore, choice D is the right one.The complete question is,
Which answer describes the graph of the system of equations?
{y=4-x
{2y=8-2x
A) the point of intersection is (0,4)
B) the point of intersection is (4,0)
C) the lines are parallel
D) the lines coincide
To learn more about System of equations refer to:
https://brainly.com/question/13729904
#SPJ1
Answer:
d (the line coincide)
Step-by-step explanation:
we all need help