plz answer serious answers only
Answer:
y = 9
Step-by-step explanation:
angle 1 = angle (7y - 2)
7y - 2 = 61
7y= 63
y=9
Letf(x, y) = 2ex − y.Find the equation for the tangent plane to the graph of f at the point
The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b. This equation represents the plane that is tangent to the graph of f at the specified point (a, b).
To find the equation for the tangent plane to the graph of the function f(x, y) = 2e^x - y at a given point (x0, y0), we need to calculate the partial derivatives of f with respect to x and y at that point.
The partial derivative of f with respect to x, denoted as ∂f/∂x or fₓ, represents the rate of change of f with respect to x while keeping y constant. Similarly, the partial derivative of f with respect to y, denoted as ∂f/∂y or fᵧ, represents the rate of change of f with respect to y while keeping x constant.
Let's calculate these partial derivatives:
fₓ = d/dx(2e^x - y) = 2e^x
fᵧ = d/dy(2e^x - y) = -1
Now, we have the partial derivatives evaluated at the point (x0, y0). Let's assume our point of interest is (a, b), where a = x0 and b = y0.
At the point (a, b), the equation for the tangent plane is given by:
z - f(a, b) = fₓ(a, b)(x - a) + fᵧ(a, b)(y - b)
Substituting fₓ(a, b) = 2e^a and fᵧ(a, b) = -1, we have:
z - f(a, b) = 2e^a(x - a) - (y - b)
Now, let's substitute f(a, b) = 2e^a - b:
z - (2e^a - b) = 2e^a(x - a) - (y - b)
Rearranging and simplifying:
z = 2e^a(x - a) - (y - b) + 2e^a - b
The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b.
This equation represents the plane that is tangent to the graph of f at the specified point (a, b).
Learn more about tangent here:
https://brainly.com/question/10053881
#SPJ11
Show that, ⋂ n=1
[infinity]
(a− n
1
,a+ n
1
)={a} 2. Show that, ⋃ n=1
[infinity]
(a−n,a)=(−[infinity],a). 3. In class, we define the Borel σ− algebra as the smallest σ− algebras that contains all open interval (a,b). Show that, such σ-algebra must contain all close intervals in the form of [a,b] and intervals in the form of (−[infinity],a].
1. x is an element of every interval (a−n1,a+n1)(a−n1,a+n1), which means that x>a+n or x
We know that the intersection of the intervals
(a−n1,a+n1)(a−n1,a+n1),
n∈Nn∈N is the set a.
Let's start with
a∈⋂n=1∞(a−n1,a+n1)⋂n=1∞(a−n1,a+n1)
We'll then assume
that x≠a, and x∈⋂n=1∞(a−n1,a+n1)⋂n=1∞(a−n1,a+n1)
In other words, x is an element of every interval (a−n1,a+n1)(a−n1,a+n1), which means that x>a+n or x
learn more about interval on :
https://brainly.com/question/29130032
#SPJ11
Construct a truth table for each of these compound propositions
a) p → ⇁p
b) p ↔ ⇁p
c) p ⊕ (p V q) d) (p ∧ q) → (p V q) e) (p → ⇁p) ↔ (p ↔ q) f) (p ↔ q) ⊕ (p ↔ ⇁q)
After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.
A truth table is a overview that projects the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
To learn more about truth table
https://brainly.com/question/28605215
#SPJ4
Need help please!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1. 3x = 12 . the answer is d. x = 4
In a food processing plant, a machine fastens plastic lids on to glass jars. The chart shows the number of lids the machine has attached after certain lengths of time.Which is a correct interpretation of the average rate of change for this linear function?
The machine attaches 20 lids every 8 seconds.
The machine attaches 2 lids every 5 seconds.
The machine attaches 8 lids every 10 seconds.
The machine attaches 8 lids every second.
Melanie has 4 yellow balloons. Jason has 3 times more yellow balloons than Melanie. How many yellow balloons does Melanie and Jason have ?
Answer:
4
MelA
4(3)
Jason
melanie-4
Jadon-12
Answer:
16 balloons
Step-by-step explanation:
Melanie: 4 balloons
Jason: 4 x 3 = 12 balloons
Together: 4 + 12 = 16 balloons
Hope this helps =]
This type of research is intended to be carried out by any professional, in any type of school, to investigate a problem. The findings are limited in their generalizability. a. Historical research. b. Survey research. c. Action research. d. Ethnographic study.
The correct option is:
c. Action research
What type of research is conducted by professionals in any type of school to investigate a problem, with findings that may have limited generalizability?
The type of research conducted by professionals in any type of school to investigate a problem, with findings that may have limited generalizability, is known as action research.
c. Action research.
Action research is a type of research that is intended to be carried out by professionals in any type of school setting to investigate a specific problem or issue. The focus of action research is on practical solutions and making improvements within a particular context.
To learn more about the type of research from the given link
brainly.com/question/968894
#SPJ4
write the equation of the line from the given information. through (-3,5) & (4,-2)
Answer:
y = -x + 2
Step-by-step explanation:
(-3,5) and (4,-2)
Slope: (-2-5)/(4 - - 3) = -7/7 = -1
y-intercept= -2 - (-1)(4) = -2 + 4 = 2
Question Use set-builder notation to describe the set of all odd integers. Select the correct answer below: O {n|2n +1 €Z} O {2n | neZ}O {2n +1 | * € Z} O {2n +1 ne Z}
First let's define how to write the odd intergers:
When you have an odd it menas you have the result of a number multiply by 2 (or a even number) +1, so, if you need to express the odds you have:
2n+1
Now the ingergers are represented by the Z
Then so, the set of all odd integers is:
\(2n+1\in Z\)where
∈ means belongs
Z means intergers
n is the n- umpteenth term.
1+1= (WILL GET BRAINLIST TO ANWSER FIRST)
Answer:
2
Step-by-step explanation:
one cookie plus one cookie is two cookies
The watch Bea would like to buy costs $10 less than 2
times the amount she has saved. The watch costs $50.
How much money does Bea have saved?
Could whoever answers pls tell the equation used?
Answer: Bea has $30 saved
Step-by-step explanation:
Add 10: 50+10=60
Divide by 2: 60/2=30
how many rows and columns must a matrix a have in order to define a mapping from r4 into r5 by the rule t .x/ d ax?
The matrix A must have the following form:
A = [ a11 a12 a13 a14 ]
[ a21 a22 a23 a24 ]
[ a31 a32 a33 a34 ]
[ a41 a42 a43 a44 ]
[ a51 a52 a53 a54 ]
In order for a matrix A to define a mapping from R4 into R5 by the rule T(x) = Ax, the matrix A must have 5 rows and 4 columns.
This is because the number of rows in the matrix determines the dimension of the output space, while the number of columns determines the dimension of the input space. In this case, the output space is R5 and the input space is R4, so the matrix must have 5 rows and 4 columns.
In general, if a matrix A is used to define a mapping from Rn into Rm by the rule T(x) = Ax, then the matrix A must have m rows and n columns.
So, the matrix A must have the following form:
A = [ a11 a12 a13 a14 ]
[ a21 a22 a23 a24 ]
[ a31 a32 a33 a34 ]
[ a41 a42 a43 a44 ]
[ a51 a52 a53 a54 ]
where each aij is a scalar.
Learn more about Matrix
brainly.com/question/29132693
#SPJ11
what is the solution of the system of equations 2x-5y=11 and -2x+3y=-9
Answer:
Step-by-step explanation:
In order for us to be able to get our (x,y) value, we need to show our work step-by-step.
Solving for Y:
-2x + 3y = -9
+ (2x - 5y = 11)
_____________________
-2y = 2
-2 -2
In order for us to be able to find our y value, we need to divide -2 both sides.
y = -1
Solving for X:
2x-5(-1) = 11
2x + 5 = 11
- 5 -5
_____________________
2x = 6
2 2
In order for us to find our x value, we need to divide 2 both sides.
x = 3
Our equation set or (x,y) value will be equal to:
(3,-1)
Gilbert purchased a car for 34000. The car depreciates at a rate of 14% per year. The exponential function that represents this situation is y = 34000(0.86)^x.
What is the change factor for this function?
Answer:
.86
Step-by-step explanation:
Exponential function formula
\(y = a ( 1 + or - r ) ^t\)
where a = initial value
r = rate of change
and t = number of years
given the equation y = 34000(0.86)^x.
r = .86
Hence the change factor is .86
which graph best represents the following inequality y<_ -5/6 +2/3
The best representation of the inequality y ≤ - 5/6x + 2/3 is shown in figure by red shade region.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
The inequality is,
⇒ y ≤ - 5/6x + 2/3
Now, We can draw the graph of inequality y ≤ - 5/6x + 2/3.
Hence, The best representation of the inequality y ≤ - 5/6x + 2/3 is shown in figure by red shade region.
Learn more about the inequality visit:
https://brainly.com/question/25944814
#SPJ1
If Gerta spends all day. her time washing vehicles, she is able to wash 15 cars or 25 motorcycles each What is her opportunity cost of washing 1 car? motorcycles What is her opportunity cost of washing 1 motorcycle? cars
The opportunity cost of washing 1 car is 5/3 motorcycles.
The opportunity cost of washing 1 motorcycle is 3/5 cars.
To determine the opportunity cost of washing 1 car or 1 motorcycle, we'll use the provided information about how many cars and motorcycles she can wash in a day.
If Gerta spends all day washing vehicles, she is able to wash 15 cars or 25 motorcycles.
To find the opportunity cost of washing 1 car, we will consider how many motorcycles she could wash instead. Since she can wash 25 motorcycles while washing 15 cars, we can calculate the opportunity cost by dividing the number of motorcycles by the number of cars:
Opportunity cost of 1 car = (25 motorcycles) / (15 cars) = 5/3 motorcycles
So, the opportunity cost of washing 1 car is 5/3 motorcycles.
Next, to find the opportunity cost of washing 1 motorcycle, we will consider how many cars she could wash instead. Since she can wash 15 cars while washing 25 motorcycles, we can calculate the opportunity cost by dividing the number of cars by the number of motorcycles:
Opportunity cost of 1 motorcycle = (15 cars) / (25 motorcycles) = 3/5 cars
So, the opportunity cost of washing 1 motorcycle is 3/5 cars.
To learn more about opportunity cost visit : https://brainly.com/question/1549591
#SPJ11
Please help!! See question below!
The statements; (x,y,z(x,y)) is a solution to the equation F(x,y,z)=0 for all (x,y) nearby \((x_{0},y_{0})\), Every point on the level surface F(x,y,z)=0 is on the graph of z=z(x,y), and \(z_{0}\) = z \((x_{0},y_{0})\) are correct.
In the given question have four statement related to the given question. We have to answer which statement is correct.
The given question is;
Suppose that a function z=z(x,y) is defined implicity by a equation F(x,y,z)=0 nearby some point \((x_{0},y_{0},z_{0})\) and all partial derivatives of F(x,y,z) are continuous .
As we know that a function is continuous when it is differentiable. The partial derivatives of a function. Function f:R2→R such that fx \((x_{0},y_{0},z_{0})\) and fy \((x_{0},y_{0},z_{0})\) exist but f is not continuous at \((x_{0},y_{0},z_{0})\).
So the following statement are correct;
1) (x,y,z(x,y)) is a solution to the equation F(x,y,z)=0 for all (x,y) nearby \((x_{0},y_{0})\).
2) Every point on the level surface F(x,y,z)=0 is on the graph of z=z(x,y)
3) \(z_{0}\) = z \((x_{0},y_{0})\)
To learn more about Function link is here
brainly.com/question/2385167
#SPJ1
Picture below has question/answer choices!!
The statements that is true about the similarity of the two triangles the option D
D. ΔMNO and ΔJKL are not similar triangles
What are similar triangles?Similar triangles are triangles which have proportional corresponding sides
The parameters in the question are;
The length of segment MN = 20
Length of segment NO = 12
Length of segment OM = 25
Measure of angle ∠O = 56°
Length of segment LJ =- 15
Length of segment JK = 12
Length of segment KL = 9
Measure of angle ∠L = 56°
Two triangles are similar if the ratio of two sides on one triangle are proportional to two sides of another triangle, and the included angle between the two sides are congruent
The included angle between sides ON and MO on triangle MNO is congruent to the included angle between segment LK and JL in triangle JKL
However, the ratio of the sides LK to ON and JL to MO are;
9/12 ≠ 15/25
Therefore, the triangles are not similar
The correct option is option D
Learn more about similar triangles here:
https://brainly.com/question/2644832
#SPJ1
Dave wants the height of the porch to be 14 feet tall. He decides to make all three outside walls of the porch from screen frames that extend from floor to ceiling. The hardware store cuts lengths of screen from a roll that is 2 feet wide. Part A What is the total surface area of the screened-in sides of the porch? Part B If the hardware store charges $1.10 per square foot of screen, how much will the screen cost?
Answer:
I had this on my school work but i cant go back
Step-by-step explanation:
Answer:
14 feet tall. He decides to make all three outside walls of the porch from screen frames that extend from
Step-by-step explanation:
MNOP is a rectangle. Write the equation & solve for X.
MNOP is a rectangle which means that its opposite sides are equal and parallel to each other. To write the equation for MNOP, we need to use the length and width of the rectangle.
Let's assume the length of the rectangle MNOP to be L and the width of the rectangle to be W.
Therefore, the equation for the perimeter of the rectangle will be: P = 2(L+W)
The problem doesn't provide any length or width of the rectangle.
Hence, we can't determine the value of 'x'.
MNOP is a rectangle that has opposite sides equal and parallel to each other. It is common knowledge that a rectangle has two diagonals, and both diagonals bisect each other. That is, the diagonals divide the rectangle into four triangles that are similar to each other. The length of each diagonal of the rectangle is also equal. Let's assume that the diagonal of the rectangle is 'd' and that the width is 'w'. We can use the Pythagorean theorem to find the value of the length of the rectangle.
Hence, the equation for the diagonal of the rectangle will be: d² = L² + W²
Where L is the length of the rectangle and W is the width of the rectangle.
We know that opposite sides of a rectangle are equal.
Therefore, we can write: L = W + x
We can substitute the value of L in terms of W and x in the above equation for the diagonal of the rectangle:
d² = (W + x)² + W²
On simplifying, we will get
d² = W² + 2Wx + x² + W²
By combining like terms, we get
d² = 2W² + 2Wx + x²
We also know that the opposite sides of a rectangle are equal, which means that
L + W = d
Therefore, we can write(W + x) + W = d
On simplifying, we get
d = 2W + x
On equating both the above equations, we get:
2W + x = √(2W² + 2Wx + x²)
On simplifying the above equation, we get:
(2W + x)² = 2W² + 2Wx + x²4W² + 4Wx + x²
= 2W² + 2Wx + x²2W² - 2Wx
= 0W(2W - 2x)
= 0W
= 2x/2W
= x
Therefore, we can say that the value of x is equal to the value of the width of the rectangle. Hence, the length of the rectangle will be L = W + x = 2x + x = 3x
Therefore, we can say that the equation for the diagonal of the rectangle is d² = 2W² + 2Wx + x², and the value of x is equal to the value of the width of the rectangle. We can also conclude that the length of the rectangle will be
L = W + x = 2x + x = 3x.
However, we can't determine the value of x as the problem doesn't provide any length or width of the rectangle.
To know more about Pythagorean theorem visit:
brainly.com/question/10368101
#SPJ11
Which of the following describes the arrangement of network cabling between devices?
a. Logical topology
b. Networking technology
c. Physical topology
d. Media access method
Answer:
Physical means the actual wires. Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.
a. Logical
Step-by-step explanation:
...
The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).
What is the Physical topology?The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.
A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.
Therefore, the arrangement of network cabling between devices is a physical topology.
Hence, the correct answer would be an option (C).
To learn more about the Physical topology click here:
https://brainly.com/question/24209299
#SPJ12
protein content in a particular farmer's soybean crop is normally distributed, with a mean of 40 grams and a standard deviation 20 grams. a particular soybean crop has a z-score of -2. what does this mean? a. the observed soybean plant has a protein content that is 2 standard deviations above the mean. b. the observed soybean plant has a protein content that is 2 grams below the mean. c. the observed soybean plant has a protein content that is 2 standard deviations below the mean. d. the observed soybean plant has a protein content that is 2 grams above the mean.
The answer is (c) the observed soybean plant has a protein content that is 2 standard deviations below the mean.
A z-score measures the number of standard deviations an observation is from the mean of a distribution. In this case, the z-score of -2 indicates how far below or above the mean a particular soybean plant's protein content is.
To calculate the z-score, we use the formula:
z = (x - μ) / σ,
where x is the observed value, μ is the mean, and σ is the standard deviation.
Given that the mean is 40 grams and the standard deviation is 20 grams, and the z-score is -2, we can rearrange the formula to solve for x:
-2 = (x - 40) / 20.
Multiplying both sides of the equation by 20, we get:
-40 = x - 40.
Simplifying further, we find:
x = -40 + 40 = 0.
Therefore, the observed soybean plant has a protein content of 0 grams, which is 2 standard deviations below the mean of 40 grams.
Hence, the correct answer is (c) the observed soybean plant has a protein content that is 2 standard deviations below the mean.
Learn more about z-score here:
brainly.com/question/31871890
#SPJ11
what persintage is 22 out of 25
Answer:
88
Step-by-step explanation:
Answer:
it is 88%
Step-by-step explanation:
if you convert the fraction into a decimal which is 0.88 as a decimal and then multiply that by 100 and its 88%
Does anyone know how to do this !!!
The area of the field is 10,765.44 square meters.
Given that:
Diameter, d = 72 m
Width, W = 72 m
Length, L = 93 m
The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.
The area of the field is calculated as,
A = (π/4)d² + W·L
A = (3.14 / 4) x 72² + 72 x 93
A = 4,069.44 + 6,696
A = 10,765.44 square meters
The area of the field is 10,765.44 square meters.
More about the area link is given below.
https://brainly.com/question/27683633
#SPJ1
the systolic blood pressure of adults in the usa is nearly normally distributed with a mean of 120 and standard deviation of 19 . someone qualifies as having stage 2 high blood pressure if their systolic blood pressure is 160 or higher. a. around what percentage of adults in the usa have stage 2 high blood pressure? give your answer rounded to two decimal places. 1.76 correct % b. if you sampled 2000 people, how many would you expect to have bp> 160? give your answer to the nearest person. note: i had a bit of an issue encoding rounded answers, so try rounding both up and down if there's an issue! 35 correct people c. stage 1 high bp is specified as systolic bp between 140 and 160. what percentage of adults in the us qualify for stage 1? 12.9 correct % d. your doctor tells you you are in the 30th percentile for blood pressure among us adults. what is your systolic bp? round to 2 decimal places.
a)Approximately 1.76% of adults
b) about 35 people
c)About 12.9% of adults
d)Approximately 106.95
Solution:
a. Approximately 1.76% of adults in the USA have stage 2 high blood pressure, which is a systolic bp of 160 or higher.
b. If you sampled 2000 people, you would expect about 35 people to have a systolic bp greater than 160.
c. About 12.9% of adults in the US qualify for stage 1 high blood pressure, which is specified as systolic bp between 140 and 160.
d. If you are in the 30th percentile for blood pressure among US adults, your systolic bp is approximately 106.95, rounded to two decimal places.
To know more about normal distrubution:
https://brainly.com/question/15070946
#SPJ11
Multiply and simplify if possible
Answer:
a
Step-by-step explanation:
i think its correct
Last Sunday, the average temperature was 8\%8%8, percent higher than the average temperature two Sundays ago. The average temperature two Sundays ago was TTT degrees Celsius.
The average temperature last Sunday is 1.08T or (1 + 8/100)T.
What is temperature?Temperature simply means the hotness and coldness of a body.
In this case, last Sunday, the average temperature was 8 percent higher than the average temperature two Sundays ago.
This will be expressed as:
= T + (8% × T)
= T + (0.08 × T)
= T + 0.08T
= 1.08T
The temperature is 1.08T.
Learn more about temperature on:
brainly.com/question/24746268
#SPJ1
determine the height of a tree using geometric means given that you are 8ft away and your height to your eyes is 4ft.
Answer: 8
Step-by-step explanation:
To determine the height of a tree using geometric means, we can set up a proportion based on similar triangles.
Let's assume "h" represents the height of the tree.
We have the following information: Distance from the tree: 8 ft
Height to your eyes: 4 ft
We can set up the proportion: Your height to distance = Tree height to distance
4 ft / 8 ft = h / (8 ft + h)
To solve for "h," we can cross-multiply and then solve the resulting equation:
4 ft * (8 ft + h) = 8 ft * h
4(8 + h) = 8h
32 + 4h = 8h
32 = 4h
Divide both sides of the equation by 4:
8 = h
Therefore, the height of the tree is 8 feet.
Consider the following.t = 10π/3 (a) Find the reference number t for the value of t. t = (b) Find the terminal point determined by t. (x, y) =
For t = 10π/3, the reference number t is 4π/3 and the terminal point determined by t is (x, y) = (-1/2, -√3/2).
To find the reference number t and the terminal point determined by t when t = 10π/3, we'll follow these steps:
1. Find the reference number t:
The reference number is the angle's distance from the x-axis, measured counterclockwise. To find the reference number for t = 10π/3, we first need to find an equivalent angle within the interval [0, 2π] by finding the coterminal angle.
t = 10π/3
Since 2π is a full circle, we can subtract a multiple of 2π to find the coterminal angle:
t = 10π/3 - 2π
t = 10π/3 - 6π/3
t = 4π/3
So, the reference number t is 4π/3.
2. Find the terminal point determined by t (x, y):
To find the terminal point, we use the following trigonometric equations:
x = cos(t)
y = sin(t)
For t = 4π/3, we have:
x = cos(4π/3)
y = sin(4π/3)
x = -1/2
y = -√3/2
So, the terminal point determined by t is (x, y) = (-1/2, -√3/2).
You can learn more about the terminal point at: brainly.com/question/29250370
#SPJ11