What is the variation equation if y varies jointly x and z and y = 360 when x =12 and z = 15?
The variation equation if y varies jointly with x and z and y = 360 when x =12 and z = 15 is y = 2xz.
The variation equation for this situation can be represented as the equation y = kxz, where k is the constant of variation, since y varies jointly with x and z.
We can find the value of k by plugging in the given values of x, y, and z into the equation and solving for k:
360 = k(12)(15)
360 = 180k
2 = k
So, the constant of variation is 2. Hence, the variation equation is y = 2xz. This equation can be used to find the value of y for any given values of x and z. For example, if x = 4 and z = 10, then y = 2(4)(10) = 80.
Learn more about variation equation here: https://brainly.com/question/6499629.
#SPJ11
What is the y-intercept of the function ?
Answer:
The y-intercept answer will be 2/9
Let S be the part of the plane 2x+4y+z=2 which lies inthe first octant, oriented upward. Find the flux of the vectorfield
F=1i+1j+2k across the surface S
The flux of the vector-field F = 1i + 1j + 2k across the surface S is 2. We find out the flux of the vector-field using Green's Theorem.
Define Green's Theorem.Flux form of Green's Theorem for the given vector-field
φ = ∫ F.n ds
= ∫∫ F. divG.dA
Here G is equivalent to the part of the plane = 2x+4y+z = 2.
and given F = 1i + 1j + 2k
divG = div(2x+4y+z = 2) = 2i + 4j + k
Flux = ∫(1i + 1j + 2k) (2i + 4j + k) dA
φ = ∫ (2 + 4 + 2)dA
= 8∫dA
A = 1/2 XY (on the given x-y plane)
2x+4y =2
at x = 0, y = 1/2
y = 0, x = 1
1/2 (1*1/2) = 1/4
Therefore flux = 8*1/4 = 2
φ = 2.
To know more details about Green's Theorem visit:
https://brainly.com/question/27549150
#SPJ4
PLEASE HELP! WILL MARK BRAINLIEST - What is 2(n+1)?
Answer:
I hope that this helps... (2n-1)
Step-by-step explanation:
1)If n is a natural number, (2n-1) is an odd number for n greater or equal to 2 .
2) Is n is a whole the number the same thing applies but the range of n just has its vertex at -1.(Odd integer)
3)If n is any integer, then the range is all integers from -Infinity to +Infinity.(Odd integer)
4)If n is any complex number, n can be represented in the form of e^i thetha (Euler’s form) but nothing can b e commented on whether it is odd or even.
5)If n is any real number the range of this data can be from -Infinity to +Infinity, nothing can be commented on whether the number is odd or even.
The measures of the exterior angles of a hexagon are x°x°, 2x°2x°, 5x°5x°, 6x°6x°, 7x°7x°, and 9x°9x°. Solve for x.
Answer:
x = 12°
Step-by-step explanation:
The measures of the exterior angles of a hexagon are x°, 2x°, 5x°, 6x°, 7x°, and 9x°. Solve for x.
The sum of the exterior angles of a polygon sums up to 360
An hexagon is a 6 - sided polygon
(x + 2x + 5x + 6x + 7x + 9x) = 360
30x = 360
Divide both sides by 30
x = 360 / 30
x = 12
Hence, x = 12°
58 = ??
36 = 84
64 = 56
78 = 24
Answer:
35
Step-by-step explanation:
67nahhavidjsvvaa jahaha
Need help with question B asap pls will give brainiest and high points
Answer:
x = 16
Step-by-step explanation:
(b)
Since the triangles are similar then the ratio of corresponding sides are equal, that is
\(\frac{CB}{DE}\) = \(\frac{AC}{AD}\) , substitute values
\(\frac{x}{20}\) = \(\frac{8}{10}\) ( cross- multiply )
10x = 160 ( divide both sides by 10 )
x = 16
if 8 adult smartphone users are randomly selcted, find the probabailty that exactly 6 of them use their
The probability that exactly 6 of the 8 adult smartphone users will use their smartphones is 0.004419921875.
How to find probability?If 8 adult smartphone users are randomly selected, the probability that exactly 6 of them use their smartphones is calculated as follows:
P(6) = C(8,6) × (0.75)^6 × (0.25)^2P(6) = 28 × 0.1779785 × 0.0625P(6) = 0.3125P(6) = 0.004419921875
The probability that exactly 6 of the 8 adult smartphone users will use their smartphones is 0.004419921875.
Learn more about probability
brainly.com/question/30034780
#SPJ11
One of the major differences between the median-median line and the method of least squares is that the median-median line takes _____________ into account.
A) residuals
B) slope
C) outliers
D) the number of points
ratings services measure television audiences. the measurement of the percentage of all households with televisions that are tuned into the same show at the same time is called
Therefore , the solution of the given problem of percentage comes out to be were tuned in to a specific program or show at a given moment.
What is percentage?A number or figure stated as a fraction of 100 is referred to as "a%" in statistics. The versions that begin with "pct," "pct," and "pc" are also uncommon. The common way to indicate it is with the numeral "%," though. Furthermore, there are no indicators and a flat ratio of every single thing to the total number. Percentages are basically integers because they frequently add up to 100.
Here,
The TV ratings, also known as the TV audience share, are a measurement of the proportion of all television-owning households that are watching the same program at the same moment.
Networks and marketers use it as a gauge of a TV show's popularity to decide how successful a program will be and how much to charge for advertising during it.
Companies like Nielsen, which use a sample of homes with televisions to estimate the audience size for a given program or show, are usually in charge of gathering the TV ratings.
TV ratings are expressed as a proportion of all households with televisions that were tuned in to a specific program or show at a given moment.
To know more about percentage visit:
https://brainly.com/question/28269290
#SPJ1
Please help this is algebra 1
problem is in the picture
Answer:
0,1,2,3,4,5
Step-by-step explanation:
You can not buy more than 5 books because you'd have a negative amount of money. So 0,1,2,3,4,5 are the possible values for b.
which of the following are valid c identifiers? (1) a. firstc prog b. travel time c. 3feetinayard d. number e. cpp assignment f. inchesinonecentimeterg. monthly pay g. jack'shomework h. first
The valid C identifiers from the given options are (b) travel time, (d) number, (f) inchesinonecentimeter, (g) monthly pay, and (h) first.
In C programming, identifiers are names used to identify variables, functions, and other entities. They must follow certain rules to be considered valid. Here's an analysis of each option:
(a) firstc prog: Invalid identifier because it starts with a number, which is not allowed in C.
(b) travel time: Valid identifier because it consists of alphabetic characters and spaces are allowed.
(c) 3feetinayard: Invalid identifier because it starts with a number, which is not allowed in C.
(d) number: Valid identifier because it consists of alphabetic characters.
(e) cpp assignment: Invalid identifier because it contains a space, which is not allowed in C.
(f) inchesinonecentimeter: Valid identifier because it consists of alphabetic characters.
(g) monthly pay: Valid identifier because it consists of alphabetic characters and spaces are allowed.
(h) jack'shomework: Invalid identifier because it contains an apostrophe, which is not allowed in C.
To summarize, the valid C identifiers from the given options are (b) travel time, (d) number, (f) inchesinonecentimeter, (g) monthly pay, and (h) first.
For more questions like Variables click the link below:
https://brainly.com/question/17344045
#SPJ11
What are the coordinates of the point on the directed line segment from (-5,5) to
(7,-4) that partitions the segment into a ratio of 2 to 1?
The coordinates of the partition point of line segment are (3, -1)
What is division of a line?This is the partition of a line into segments.
How to find the coordinates of the point on the directed line segment from (-5,5) to (7,-4) that partitions the segment into a ratio of 2 to 1?Since the we require the coordinates of the point on the directed line segment from (-5,5) to (7,-4) that partitions the segment into a ratio of 2 to 1, we use the equation for the internal division of a line.
What is internal division of a line?This is the division of a line into segments internally.
The coordinates of the point that divides the line with end points (x₁, y₁) and (x₂, y₂) in the ratio m:n are
x = (mx₂ + nx₁)/(m + n) y = (my₂ + ny₁)/(m + n)Given that
(x₁, y₁) = (-5, -5) (x₂, y₂) = (7, -4)andm: n = 2:1Substituting the values of the variables into the equation, we have
x = (mx₂ + nx₁)/(m + n)
= (2(7) + 1(-5))/(2 + 1)
= (14 - 5))/3
= 9/3
= 3
y = (my₂ + ny₁)/(m + n)
= (2(-4) + 1(5))/(2 + 1)
= (-8 + 5))/3
= -3/3
= - 1
So, the coordinates of the point are (3, -1)
Learn more about coordinates of the partition point here:
https://brainly.com/question/28625740
#SPJ1
A company is offering 401k matching retirement plan for its employees who stay with the company for more than 10 years. The company's CFO finds that the average retirement account holds $490,000, with a standard deviation of $55,000, distributed normally.Use Excel to calculate the amount of money that separates the lowest 20% of the means of retirement accounts from the highest 80% in a sampling of 80 employees.
$484,835 is the amount that separates the lowest 20% of the means of retirement accounts from the highest 80% of the means of retirement accounts.
Given Information:
Mean of retirement accounts = μ = $490,000
Standard deviation of retirement accounts = σ = $55,000
Sample size = n = 80
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
The amount of money that separates the lowest 20% of the means of retirement accounts from the highest 80% is given by
\(P\frac{( \bar x - \alpha )}{\frac{\sigma}{\sqrt{n} } }\)
The z-score corresponding to 0.20 is -0.84
\(\bar x = \alpha + z.\frac{\sigma }{\sqrt{n} } \\\\\bar x = 490,000 - 0.84 .\frac{55,000}{\sqrt{80} } \\\\\bar x = 490,000 - 5165.32\\\\\bar x = 484,834.68\)
Rounding off to the nearest whole number
\(\bar x = $484,835\)
Therefore, $484,835 is the amount that separates the lowest 20% of the means of retirement accounts from the highest 80% of the means of retirement accounts.
How to use z-table?
In the z-table find the probability of 0.20
Note down the value of that row, it would be -0.8.
Note down the value of that column, it would be 0.04.
So the z-score is -0.84
Learn more about Probability Distribution at :
https://brainly.com/question/28021875
#SPJ4
Round 5.955 to the nearest tenth.
Answer:
6.
Step-by-step explanation:
To round 5.955 to the nearest tenth consider the hundredths’ value of 5.955, which is 5 and equal or more than 5. Therefore, the tenths value of 5.955 increases by 1 to 0.
Answer:
6.0
Step-by-step explanation:
Tanya buys 12 water bottles. Of these bottles, 5 hold 300 milliliters each and 7 hold 1.5 liters each. Part A How much water, in milliliters, does Tanya buy? Enter your answer in the box. Part B How much water, in liters, does Tanya buy? Enter your answer in the box.
Answer:
A- 12,000ml
B- 12l
Step-by-step explanation:
To find milliliters:
1.5l = 1500ml
300(5) + 1500(7) = (1500 + 10500 =) 12,000ml
To find liters:
300 ml = 0.3l
0.3(5) + 1.5(7) = (1.5 + 10.5 =) 12L
Hope this helps!
The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(4, 4)
(–4, –12)
(4, 4) and (–4, 12)
(–4, 4) and (4, 12)
Answer:
(4,4)
Step-by-step explanation:
The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.
x^2 - 6x + 12 = 2x - 4
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x = 4
Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.
y = 2x - 4 = 2(4) - 4 = 4
Therefore, the solution of this system of equations is (4, 4).
Therefore, the correct answer is (4, 4).
hi can you help it will help me
The exact value of the letter D is three and three-tenths.
What is a number line?A number line is a one-dimensional horizontal line where we can represent any real number. The origin of the number line is represented by zero left to it are all negative real numbers and right to it are all positive real numbers.
By observing the number line there are 10 subsections between two integers.
The letter D is in between two integers 3 and 4 so it can be from 3.1 to 3.9.
In between those ten subsections, the letter D is in the third subsection.
Therefore it is Three and three-tenths.
learn more about number line here :
https://brainly.com/question/13425491
#SPJ1
i) Multiply: (3.1x10°) x ( 1.5 x 10) = j) Divide: (3.1x10) / ( 1.5 x 10') = Small angle formula is a very useful approximation for angles smaller than about 0.25 radian (~15°). It allows calculation
i) The multiplication of (3.1x\(10^0\)) and (1.5x10) results in 4.65x\(10^1\).
j) The division of (3.1x10) by (1.5x\(10^{-1\)) equals 2.07x\(10^1\).
i) To multiply numbers in scientific notation, we multiply the coefficients (3.1 and 1.5) and add the exponents (0 and 1) together. In this case, 3.1 multiplied by 1.5 gives us 4.65. Adding the exponents, \(10^0\) multiplied by \(10^1\) results in \(10^1\). Therefore, the final result is 4.65x\(10^1\).
j) When dividing numbers in scientific notation, we divide the coefficients (3.1 and 1.5) and subtract the exponents (1 and -1) from each other. Dividing 3.1 by 1.5 gives us approximately 2.07. Subtracting the exponents, \(10^1\)divided by \(10^{-1\) is equivalent to \(10^{(1-(-1))}\) which simplifies to 10^2. Hence, the result is 2.07x\(10^1\).
Learn more about multiplication here:
https://brainly.com/question/29563927
#SPJ11
help me with this, please!!!
Answer:
17 is already a simplest form so you can do a decemil form 0.17
Step-by-step explanation:
Answer:
10.68 miles
Step-by-step explanation:
17 mile radius = 34 mile diameter
34 mile diameter x 3.14 = circumference = 106.82 miles
Pi/5 radians = 36 degrees
36(106.82)/360 = 10.68 miles
Type the correct answer in each box. Use numerals instead of words.
Consider the quadratic equation -x^2 - 6x + 6 = 0
Completing the square leads to the equivalent equation
-(x + ___ )^2 = ___
Answer:
-(x + 3)^2 = -15
Step-by-step explanation:
:) got it right
WILL GIVE BRAINLIEST
Answer:
HARAMBE KNOWS THE ANSWER!!!!!!!!!!!!!!1111Write an essay of at least 250 words that summarizes the main points of the essay by Langston Hughes. Use the information you gathered from your literary analysis to help with your summary. Be sure to create an outline and structure your essay with a thesis statement and supporting details..
Step-by-step explanation:
what unit of measurement is used for a graduated cylinder
A graduated cylinder is a common laboratory instrument used to measure the volume of liquids. The unit of measurement used for a graduated cylinder depends on the markings on the cylinder itself.
In most cases, graduated cylinders are marked in milliliters (mL). This means that the cylinder is calibrated to measure volumes of liquid in units of milliliters. Milliliters are a standard unit of measurement for liquid volume in the metric system.
However, it is possible for a graduated cylinder to be marked in other units of measurement, such as liters or fluid ounces. In these cases, the cylinder would be calibrated to measure volumes of liquid in those specific units.
It is important to note that when using a graduated cylinder, the user should always read the volume at the bottom of the meniscus, which is the curved surface of the liquid in the cylinder. This ensures the most accurate measurement possible.
Know more about graduated cylinder here:
https://brainly.com/question/14427988
#SPJ11
In ANOP, NO – PN and mZN = 140°. Find mZP. Please help me!
Answer:
20°
Step-by-step explanation:
If m∠N = 140° and NO = PN , then m∠O = m∠P = (180° - 140°) / 2 = 20°
Solve for x in the triangle. Round your answer to the nearest tenth.
1
X
41°
Answer:
x= 9.2 (nearest tenth)
Step-by-step explanation:
Please see the attached picture for the full solution.
An appliance store decreases the price of a 19-in television set 25% to a sale price of $482.63. What is the original price?
Which statement about the polygons is true?
Based on the given polygon, the true statement on the polygons is that Polygon A is similar to Polygon B because Polygon B is a rotation of Polygon A.
How are the polygons related?Polygon A is related to Polygon B because to create Polygon B, Polygon A was dilated.
When a polygon is dilated, it means that it is either made to be larger in size, or smaller in size. In this case, Polygon A was made to be larger in size to create polygon B.
Find out more on dilations at https://brainly.com/question/3457976
#SPJ1
Let V and W be vector spaces, and let T:V→→W be a linear transformation. Given a subspace U of V, let T(U) denote the set of all images of the form T(x), where x is in U. Show that T(U) is a subspace of W.To show that T(U) is a subspace of W, first show that the zero vector of W is in T(U). Choose the correct answer below.A. Since V is a subspace of U, the zero vector of U, 0, is in V. Since T is linear, T(0)=Ow, where 0w is the zero vector of W. So Oy is in T(U ). B. Since U is a subspace of W, the zero vector of W, Ow, is at U. Since T is linear, T(0) = 0, where 0, is the zero vector of V. So Ow is at T( U).C. Since V is a subspace of U, the zero vector of V, Oy, is in U. Since T is linear, T(0)=0w, where 0w is the zero vector of W. So 0 is in T(U ).D. Since U is a subspace of V, the zero vector of V, 0y, is at U. Since T is linear, T(0)=0, where 0 is the zero vector of W. So 0w is at T(U ).
T(U) is a subspace of W Since V is a subspace of U, the zero vector of V, 0, is in U. As T is linear, \(T(0) = 0_w\) , where \(0_w\) is the zero vector of W. Therefore, \(0_{w}\) is in T(U).
It can be proved Since U is a subspace of V, the zero vector of V, 0y, is in U. Since T is linear, \(T(0_{y}) = 0_{w}\) , where \(0_{w}\) is the zero vector of W. So\(0_{w}\) is in T(U).
To show that T(U) is a subspace of W, we also need to show that T(U) is closed under vector addition and scalar multiplication. Let u1, u2 be vectors in U, and let c be a scalar. Then we have: \(T(u1 + u2) = T(u1) + T(u2)\) (since T is linear)
\(T(cu1) = cT(u1)\) (since T is linear)
Since U is a subspace of V, we have \(u1 + u2\) and \(cu1\) are also in U. Therefore, \(T(u1 + u2)\) and \(T(cu1)\) are both in T(U), which shows that T(U) is closed under vector addition and scalar multiplication.
Thus, T(U) is a subspace of W.
To practice more about the vector spaces:
https://brainly.com/question/13045843
#SPJ11
POR FA AYUDA URGENTEMENTE Dado los puntos A(-1;3) , B(2;5) y C(3;-1). Calcule 3(BA)VECTOR - 4 (CB)VECTOR
Answer:
the answer should be c
Step-by-step explanation:
please help!! answer the question below
Answer:
First one is the true statement
<TUV ~<CED