This parametrization represents the line formed by the intersection of the two planes.
To find a parametrization of the line in which the planes x + y + z = 8 and y + z = 4 intersect, we can solve the system of equations formed by the two planes.
First, let's solve the second plane equation, y + z = 4, for y:
y = 4 - z
Now, substitute this expression for y in the first plane equation,
x + y + z = 8:
x + (4 - z) + z = 8
x + 4 = 8
x = 8 - 4
x = 4
Therefore, we have found the values of x and y in terms of z. The parametrization of the line can be represented as:
x = 4
y = 4 - z
z = t (where t is a parameter representing any real number)
So, the parametrization of the line is:
x = 4
y = 4 - t
z = t
This parametrization represents the line formed by the intersection of the two planes.
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Write and solve an equation to find the value of x and a missing angle in the triangle below.
Answer:
angle UTS +TSU =TUV
THEREFORE, 81 + 12X =24X+9
THEREFORE, 81 - 9 = 24X - 12X
THEREFORE, 72 = 12X
THEREFORE, 72/12 =X
THEREFORE, x = 6
THEREFORE, ANGLE TSU = 12 * X
= 12 *6
= 72
YOUR ANSWER IS
X=6
TSU=72
THANK YOU......
a function of the form
Answer:
In The Function of Form, internationally acclaimed architect, Farshid Moussavi, provides a provocative critique of the historically opposing relationship between function and form to reveal the contradiction at the heart of modernism.
Step-by-step explanation:
Answer: A function of the form is a special relationship where each input has a single output like f(x)=x/2 its a function because of the input value
Step-by-step explanation:
a function can be solve this way
f(2)=1
f(16)=8
ect
hope this helps
Sam’s SnowBoards. Com offers 9/8/5 chain discounts to many of its customers. The Ski Hut ordered 21 snow boards with a total list price of $5,103
The net price is $4,060.75 and the trade discount amount is $ 1,042.25.
Chain discounts = 9/8/5
Total number of snow boards = 21
Calculate the trade discount:
Trade discount = List price x Discount rate
= 5,103 x 0.09
= 459.27
Calculating the net price after the first discount:
= List price - Trade discount
= 5,103 - 459.27
= 4,643.73
Calculating the net price after the second discount:
= Net price after first discount x (1 - Discount rate)
= 4,643.73 x (1 - 0.08)
= 4,274.47
Calculating net price after the third discount:
= Net price after second discount x (1 - Discount rate)
= 4,274.47 x (1 - 0.05)
= 4,060.75
Calculating the trade discount amount -
= 459.27 + 379.26 + 203.72
= 1,042.25
Complete Question:
Sam’s Ski Boards. com offers 9/8/5 chain discounts to many of its customers. The Ski Hut ordered 21 ski boards with a total list price of $5,103. What is the net price and trade discount amount?
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Solve the simultaneous equations
x – 4y = 18
x – 2y = 10
X =
y =
Answer:
X = 18
Y = 4
Step-by-step explanation:
Since both X are the same, just subtract the rest.
-4y - (-2y) = 18-10
-2y = 8
y= 4
Substitute y in
x-2y = 10
x-8= 10
x = 10 +8
x=18
. Tell whether (7,-4) is a solution of y ≥ 5 - x.
(7,-4) is not a solution of the inequality y ≥ 5 - x
How to tell whether (7,-4) is a solution of y ≥ 5 - x?The inequality expression is given as
y ≥ 5 - x
The solution is given as:
(7, -4)
This means that
(x, y) = (7, -4)
Substitute (x, y) = (7, -4) in the inequality y ≥ 5 - x
So, we have
-4 ≥ 5 - 7
Evaluate the difference
-4 ≥ -2
On the numbering system, -4 is less than -2
Hence, (7,-4) is not a solution of the inequality y ≥ 5 - x
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Please HELP!!!!PLSLSLSLSS
Answer: where is the question??
what do you need help with?
suppose that a conveyor used to sort packages by size does not work properly. we test the conveyor on several packages (with h0:incorrect sort) and our data results in a p-value of 0.016. what probably happens as a result of our testing?
If the p-value of a hypothesis test is 0.016, it means that the probability of observing the data or more extreme data assuming the null hypothesis (i.e., the conveyor works properly) is 0.016. So, we reject the null hypothesis.
This p-value is relatively small and falls below the conventional significance level of 0.05. Therefore, we can reject the null hypothesis that the conveyor works properly and conclude that the conveyor is not sorting packages correctly.
However, we cannot determine the cause of the problem with the conveyor from this hypothesis test alone. Further investigation is necessary to identify the root cause of the issue and determine the appropriate corrective actions.
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For the equation, complete the given ordered pairs.
x=−8
( ,6), ( ,-2), ( ,0)
Answer:
(-8, 6), (-8, -2), (-8, 0)
Step-by-step explanation:
The equation tells you that x = -8, regardless of the value of y. Every missing value is -8.
A HARD DRIVE COST 225,plus 40 hours per hour
PLEASE HELP!
A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.
solve pls brainliest
Answer:
125yd^3
Step-by-step explanation:
Answer:
125 yd³
Step-by-step explanation:
Volume of a rectangular prism is:
\(V = \text{width} * \text{length} * \text{height}\)
================================
All of the given measurements are 5 yds.
================================
\(V = \text{width} * \text{length} * \text{height}\\\rule{150}{0.5}\\V = 5 * 5 * 5\\\\V = 5^3\\\\V = \boxed{125}\)
================================
The volume of the rectangular prism should be 125 yd³.
Hope this helps.
Identify the factor and levels in the following scenario: The Hyppo (a gourmet ice pop store) is trying to test out new dip flavors in which customers can dip their popsicles (strawberry, orange, and banana). All of the popsicles are made the same, utilizing the same simple chocolate flavoring for experimental purposes, but the dips are randomly applied. Twenty regular customers are given the popsicles with the dips on them in a random order, and are asked to rate them from 1-3.
Group of answer choices
Factor = dip flavor. Levels = ratings 1-3
Factor = strawberry, orange, and banana. Levels = dip flavor
Factor = the hyppo location. Levels = 20 regular customers
Factor = dip flavor. Levels = strawberry, orange, and banana
The factor and levels in the scenario is,
Factor = dip flavor. Levels = strawberry, orange, and banana.
What is popsicles?
A frozen treat on a stick made of liquid is known as an ice pop. An ice pop is "quiescently" frozen, or frozen when at rest, and turns into a solid block of ice, unlike ice cream or sorbet, which are churned while freezing to prevent ice crystal formation. It is held by the stick, which serves as a handle.
There is only one factor (independent variable) involved in above case, i.e. dip flavor is only factor mentioned in given case.
We can see that dip flavor has three categories or levels, i.e. strawberry, orange, and banana
Therefore, we have
factor = dip flavor and levels = strawberry, orange, and banana.
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Water from a leaking faucet is dripping into a cylindrical cup. The height of water in inches, y, after x hours is graphed below. Dripping Water A graph with hours on the x-axis and height (inches) on the y-axis. A line goes through points (1, 2), (2, 4), and (3, 6). Which describes the pattern of the data in the graph? The water level increases by 1 inch each hour. The water level increases by 2 inches each hour. The water level increases by a factor of one-half each hour. The water level increases by a factor of 2 each hour.
Answer:
y = 2x
Step-by-step explanation:
Step-by-step explanation:
Let
y ----> the height in inches
x ----> the time in hours
we have the ordered pairs
(1, 2), (2, 4), and (3, 6).
step 1
Find the slope
take two points to calculate the slope
(2, 4), and (3, 6)
The formula to calculate the slope between two points is equal to
m = 2 in/h
step 2
Find the equation of the line in point-slope form
we have
m =2
point (2,4)
Convert to slope-intercept form
isolate the variable y
y = 2x
11,6 Consider the first-order model equation in three quantitative independent variables E(y) = 1 + 2x + x2 – 3x3 a. Graph the relationship between y and x1 for xy = 1 and x3 = 3. b. Repeat part a for x = -1 and x3 = 1. c. How do the graphed lines in parts # and b relate to each other? What is the slope of each line? d. If a linear model is first-order in three independent variables, what type of geometric relationship will you obtain when Ely) is graphed as a function of one of the independent variables for various combinations of val- ues of the other independent variables?
The independent variables for various combinations of values of the other independent variables will be a plane in three-dimensional space.
a. Graph the relationship between y and x1 for xy = 1 and x3 = 3:
To graph the relationship between y and x1 for x2 = 1 and x3 = 3, plug these values into the equation:
E(y) = 1 + 2x1 + x12 – 3(3)
= 1 + 2x1 + x12 – 9
= x12 + 2x1 – 8
Using a table, create a list of values for x1 and y, with x1 ranging from -5 to 5:x1 y -5 22 -4 13 -3 2 -2 -3 -1 -6 0 -7 1 -6 2 -3 3 2 4 13 5 22Plotting these points results in the following graph:
b. Repeat part a for x = -1 and x3 = 1:To graph the relationship between y and x1 for x2 = 1 and x3 = 3, plug these values into the equation:
E(y) = 1 + 2(-1) + (-1)2 – 3(1) = 1 – 2 + 1 – 3 = -3
Using a table, create a list of values for x1 and y, with x1 ranging from -5 to 5:x1 y -5 12 -4 9 -3 6 -2 3 -1 -2 0 -3 1 -2 2 3 3 6 4 9 5 12
Plotting these points results in the following graph:
c. In part a, the graphed line slopes upward, indicating a positive relationship between y and x1. The slope of this line is 2.In part b, the graphed line slopes downward, indicating a negative relationship between y and x1. The slope of this line is -2.The graphed lines in parts a and b relate to each other as reflections across the line x1 = 0. This is because the equation is symmetrical with respect to x1 = 0, meaning that the same relationship between y and x1 is obtained whether x1 is positive or negative.
d. If a linear model is first-order in three independent variables, what type of geometric relationship will you obtain when E(y) is graphed as a function of one of the independent variables for various combinations of values of the other independent variables a linear model is first-order in three independent variables, the geometric relationship obtained when E(y) is graphed as a function of one of the independent variables for various combinations of values of the other independent variables will be a plane in three-dimensional space.
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PLEASE HEEEEEEEEELP ME............
Answer:What do you need help with? My name is woods245 and whatever you need help with?
Step-by-step explanation:
expand and simpfly (x-5)(x-4)
Answer:
x² -9x + 20
Step-by-step explanation:
x²-4x -5x + 20
x² - 9x + 20
A lake was closed because of an accidental pesticide spill. The concentration of the pesticide after the spill was 848 parts per million. Each day the water is tested, and the amount of pesticide is found to be about 75% of what was there the day before. Do you think the lake will ever be completely free of the pesticide? Explain.
Answer:
Step-by-step explanation:
\(a_{n}=a_{1}r^{n-1}\\0=848(0.75)^{n-1}\\or~(0.75)^{n-1}=0\\0.75<1\\so~(0.75)^{n-1} \rightarrow 0,if~n-1 \rightarrow ~\infty\)
\(or~n \rightarrow 1+\infty\\or~n \rightarrow \infty\)
Hence lake will never be free of pesticide.
Please telll me answerPlease tell me answer
Answer:
x = 1 . Hopefully im reading this correct
Step-by-step explanation:
8x - 5 = 3
8x = 5 + 3
8x = 8
x = 8/8
x = 1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
x is 1
Step-by-step explanation:
AC =PR
AB =PQ
8x - 5 =3
8x =3+5
8x =8
x=8/8
x=1
The triangle ABC had points at A(2,0), B (-1,3), and C(4,5) after undergoing a transformation, it’s new points are A’(6,0),B’(3,3), and C’(8,5) is the new figure congruent to the old figure? Why or why not?
Answer:
yes
Step-by-step explanation:
from the two sets of given points, we can conclude a translation of (x + 4, y + 0) occurred. when something is congruent the size and shape stay the same. translations only affect the location. therefore the answer is yes the transformation is congruent.
Someone please help!!
Answer: I think the answer is F but I don’t know because I haven’t seen this in forever
Step-by-step explanation:
Pls I need the answer I’m stuck!!!
Answer:
y>3x+2
Step-by-step explanation:
y>3x+2
a person who does not ignore a sunk cost increases the probability that
A person who does not ignore a sunk cost increases the probability of making irrational decisions. This is because they are more likely to continue investing time, money, or effort into a project or situation that is not yielding positive results.
When we refer to a "sunk cost," we mean a cost that has already been incurred and cannot be recovered. Ignoring a sunk cost means not taking it into consideration when making decisions about the future. By not ignoring a sunk cost, individuals may feel a psychological attachment to their past investment, leading them to continue investing in something that may not be beneficial.
This can result in irrational decision-making and potentially wasting additional resources. For example, imagine a person who has spent a significant amount of money on a gym membership but rarely goes to the gym. Instead of accepting the fact that the money is already spent and may not be recouped.
They may feel compelled to continue paying for the membership in the hopes of eventually utilizing it. This decision is influenced by their failure to ignore the sunk cost and assess the situation rationally.
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please please please help!
Answer:
4
Step-by-step explanation:
The multiplication of both indices gives 4
The reflectance curve is a plot of the light reflected off a surface as a function of _____.
a. spatial frequency
b. contrast
c. wavelength
d. orientation
Graph the line that contains the point(-7,-4) and has a slope of -2/3
Answer:
Place one at (-7,-4) and the other at (-4,-6)
Step-by-step explanation:
If l=5 and b=3 ,find the values of L*B
Answer:
The value of L×B is 15
Step-by-step explanation:
L×B
5×3
15
Answer:15
Step-by-step explanation:
The diameter of a circle is m. What is the area
Answer:
\( (\frac{{m}^{2} }{4} )\pi\)
Step-by-step explanation:
we can find the radius from the diameter by dividing the diameter by 2 (radius is half the diameter)
the formula for the area of a circle is r²π (with r being radius) but since we must use diameter we have to replace r with (m/2)
this gives us our new formula of (m/2)²π, which simplifies to (m²/4)π
that is the answer
- kan academy advance
Please please help please please
Answer:
75
Step-by-step explanation:
With reference angle 53°
base (b) = 45
hypotenuse (h) = K
Now
cos 53° = b / h
0.6 = 45 / K
K = 45 / 0.6
K = 75
The time it takes to fly from Paris to London is normally distributed. If the mean flight time is 80 minutes with a standard deviation of 3.8 minutes, what is the probability that the next flight from Paris to London will take under 72.4 minutes?
A.13.60%
B.4.56%
C. .15
D 2.28
Answer:
13.60%
Step-by-step explanation:
Just took the test
Answer:
2.28%
Step-by-step explanation:
I took the quiz and got it right
What is the value of 11p10?
Please answer. No links! & I will mark you as brainless!
The number of permutations is:
39,916,800
How to find the value of the permutations?To find this, we need to take the quotient between the the factorial of the total number of elements (11 in this case) and the difference between the total and the number we are selectingh (10)
Then the number is:
11p10 = 11!/(11 - 10)! = 11! = 39,916,800
So that is the number of permutations that we can do with 10 elements out of a set of 11 elements.
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