This question is incomplete, the complete question is;
Determine if the described set is a subspace. Assume a, b, and c are real numbers.
The subset of R³ consisting of vectors of the form [tex]\left[\begin{array}{ccc}a\\b\\c\end{array}\right][/tex] , where abc = 0
The set is a subspaceThe set is not a subspace
Answer:
Therefore; The set is not a subspace
Step-by-step explanation:
Given the data the question;
the subset R³;
S = { [tex]\left[\begin{array}{ccc}a\\b\\c\end{array}\right][/tex] , where abc = 0 }
we know that a subset of R³ is a subspace if it stratifies the following properties;
it contains additive identityit is closed under additionit is closed under scales multiplicationLooking at the properties, we can say that it is not a subspace
As;
u = [tex]\left[\begin{array}{ccc}1\\1\\0\end{array}\right][/tex] ∈ S and v = [tex]\left[\begin{array}{ccc}0\\1\\1\end{array}\right][/tex] ∈ S
As 1×1×0=0 0×1×1=0
But u+v = [tex]\left[\begin{array}{ccc}1+0\\1+1\\0+1\end{array}\right] =[/tex] [tex]\left[\begin{array}{ccc}1\\2\\1\end{array}\right][/tex] ∉ S as 1×2×1 ≠ 0
Hence, it is not closed under addition.
Therefore; The set is not a subspace
how do u write an equation in slope intercept form to describe a graph
Answer:
y= mx+b BRAINLIEST PLEASE
Step-by-step explanation:
One year, the population of a city was 80,000. Several years later it was 66,400. Find
the percent decrease.
Answer:
The population decrease by 17%.
Step-by-step explanation:
This is because 66,400 is 83% of 80,000.
100%-83%= 17%
Therefore, the percentage of the population that decreased was 17%
a factory has 8 more than 10 times as many doors as a school which has s doors. how many doors does the factory have
Answer: 80
Step-by-step explanation:
8 times more than ten is 80
Point B, located at (-5, -8), is rotated 360°. What are the coordinates of point B?
O(-5, -8)
(5,8)
O (5,-8)
0 (-5,8)
The distance from Josh's house to the mall is 3.5 miles. The distance from Meg's house to the mall is 19,000 feet. Who lives closer to the mall, Josh or Meg? Use numbers and words to explain your answer.
Answer:
12
Step-by-step explanation:
Please help will mark brainlist .
find the vertical asympotes y= 3/ x+5
Answer:
the vertical asymptotes is x= -5
What is the value of the following expression when b = -2 and C = 3? -12b + 5c - 15
Answer:
-24
Step-by-step explanation:
12(-2)+5(3)-15
-24+15-15
-24+15
-9-15
= -24
A contractor charges $35 for the installation of gutters, plus $1.50 per foot. If one installation cost $162.50, how many feet of gutter were required?
7. Use substitution. What is the solution
to the system of equations? Explain.
This is the question and equation please helpppppp
The triangle below is reflected over the line x = 4.
Which transformation(s) would produce the same image?
2676$10
A Reflecting over the x-axis and then translating to the right 4 units
B. Reflecting over the y-axis and then translating to the right 4 units
C Reflecting over the y-axis and then translating to the right 8 units
D Reflecting over the x-axis and then translating to the right 8 units
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Answer:
C. Reflecting over the y-axis and then translating to the right 8 units
Step-by-step explanation:
Reflection over the line x=4 gives you the transformation ...
(x, y) ⇒ (2·4 -x, y) = (-x +8, y)
This is precisely the same transformation you get by reflection over the y-axis:
(x, y) ⇒ (-x, y)
followed by translation to the right 8 units:
(-x, y) ⇒ (-x +8, y)
__
Reflection over x=4 is the same as reflection over y and translation right 8.
The line across which a figure is flipped is called the line of transformation.
True
False
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
When 2/3 tons of coal cost $13.50, what will in ton cost?
Answer:
20.25
Step-by-step explanation:
Divide 13.50 by 2 and then multiply by 3.
What is the relation of the slopes of perpendicular lines or segments?
A) congruent
B) both positive
C)opposite reciprocals
D)both negative
Answer:
C
Step-by-step explanation:
In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects.
Answer: D both negative
Step-by-step explanation:
Find a. Round to the nearest tenth.
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Answer:
21.8 cm
Step-by-step explanation:
A useful way to write the Law of Sines relation when solving for side lengths is ...
a/sin(A) = b/sin(B)
Then the solution for 'a' is found by multiplying by sin(A):
a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)
__
We need to know the angle A. Its value is ...
A = 180° -75° -31.8° = 73.2°
Then the desired length is ...
a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)
a ≈ 21.8 cm
_____
I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.
CAn you help witht this fast!
Answer: 150% sugar
Step-by-step explanation: Make a proportion.
An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes. The taxi time has a bell/mound shape distribution. On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time. Round the final answer to 2 decimal places.
Answer:
The z score for your flight's taxi time is of 2.14.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes.
This means that [tex]\mu = 15, \sigma = 1.4[/tex]
On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time.
This is Z when [tex]X = 18[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{18 - 15}{1.4}[/tex]
[tex]Z = 2.14[/tex]
The z score for your flight's taxi time is of 2.14.
You can convert the variate which tracks heights of trees to standard normal variate. That value of standard normal variate is called the z score and shows the area of the considered area in the plot of the standard normal distribution.
The z score for our flight's taxi time is approx 2.14286
How to convert a normal distribution variate to standard normal distribution variate?Suppose you have got a normal distribution variate with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] (let the variate is denoted by X), then we have
[tex]X \sim N(\mu, \sigma)[/tex]
To convert it to standard normal distribution with mean 0 and the standard deviation as 1 ( [tex]Z \sim N(0,1)[/tex] ), we have:
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]
For the given case we have:
Let the average taxi time be tracked by random variable X, then, as the mean time is 15 minutes, and the standard deviation 1.4 minutes , thus,
[tex]X \sim N(15, 1.4)[/tex]
Converting it to standard variate:
[tex]Z = \dfrac{X - 15}{1.4}[/tex]
Since the observed taxi time was 18 minutes, thus, we have X = 18,
Getting the z score:
[tex]Z = \dfrac{18 - 15}{1.4} = \dfrac{3}{1.4} \approx 2.14286[/tex]
Thus,
The z score for our flight's taxi time is approx 2.14286
Learn more here about normal distribution here:
brainly.com/question/14989264
(05.06)Use a net to find the surface area of the right triangular prism shown below:
Three rectangles next to each other with a width of 8 feet. The first and second rectangles length are unknown, and the last is 13 feet long. There are two right triangles above and below the last rectangle. One is labeled with a base of 5 feet and a height of 12 feet.
88 square feet
232 square feet
283 square feet
300 square feet
Answer: The answer is 300
Step-by-step explanation: The triangle formula = ( B · H) ÷ 2
B = 5 H = 12 5 · 12 = 60 ÷ 2 = 30
Since there is two triangles you will have two 30's.
The rectangle farthest to the right = 13 · 8 = 104
If you unfold the triangle it will line up perfectly with the 3 rectangles, so...
The middle rectangle = 5 · 8 = 40
The rectangle farthest to the right = 12×8 = 96
Add them all up
30 + 30 + 104 + 40 + 96 = 300
Hope this helped!
Answer:
300
Step-by-step explanation:
How do I do this? Please only the best help.
Answer:
77.5 degrees and 102.5 degrees
Step-by-step explanation:
Given that : one angle is25 degrees greater than another. Let the two angles be represented by a and b. Since one angle is 25 degreess greater than another, then:
b = a + 25 degrees
But;
a + b = 180 degrees (sum of angles on a straight line)
a + a + 25 degrees = 180 degrees
2a = 180 degrees - 25 degrees
a = 77.5 degrees
b = 77.5 degrees + 25 degrees = 102.5 degrees
Therefore the measures of all angles formed by the lines is either 77.5 degrees or 102.5 degrees.
What is 10 to the power of 18
Answer:
1e+18
Step-by-step explanation:
Divide j by 9 and the multiply the quotient by 2
Answer:
Step-by-step explanation:
you will need to do:
j/9*2=2j/9
4. A varies directly as r. If A = 12, when r = 2, calculate:
a) the value of A, when r=5
Answer:
The value of A ,when r=5 then A = 14
Match each statement with the correct reasoning in the proof below given: AM = CM BM=DM
Answer: I think it’s cm = b, I think your image is very hard to see
Step-by-step explanation:
The given quadrilateral is a parallelogram.
What is a parallelogram?
A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
The proof is as follows;
STATEMENTS REASONS
1) AM = CM and BM = DM Given
2) m ∠ AMB = m ∠ DMC and
m ∠ AMD = m ∠ BMC Definition of Vertical angles
3) Δ AMB ≅ Δ DMC and
Δ AMD ≅ Δ BMC By SAS congruency criterion
4) AB = CD and
BC = AD BY CPCTC
5) ABCD is a parallelogram If both pairs of opposite sides of a
quadrilateral are congruent then it is
a parallelogram.
Hence, proved, ABCD is a parallelogram.
For more references on parallelograms, click;
https://brainly.com/question/29147156
#SPJ6
when graphing what does "b" stand for in y-intercept
a. base
b. begin
c. binomial
d. bound
Answer:
A. base
Step-by-step explanation:
if this helped please press the pink "thanks" button
The maroon team and the orange team played a game of football. The maroon team scored 20 points and the orange team scored 6 points. What is the ratio of points scored by the maroon team to points scored by the orange team?
Answer:
20/6 or 10/3
Step-by-step explanation:
pH = -log10 (C).
What is the value of c when the acidity of the liquid solution is 5 pH units?
OA. – 510
B. 5-10
OC. – 105
D. 10-5
Find the area of the shape shown below.
3.5
2
2.
units?
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Answer:
26.75 square units
Step-by-step explanation:
Above the dashed horizontal line(s) is a triangle with base 9 and height 3.5. Its area is ...
A = (1/2)bh
A = (1/2)(9)(3.5) = 15.75 . . . . square units
__
Below the dashed horizontal line(s) is a trapezoid with bases 9 and 2, and height 2. Its area is ...
A = (1/2)(b1 +b2)h
A = (1/2)(9 +2)(2) = 11 . . . . square units
The sum of these areas is the area of the shape:
total area = 15.75 +11 = 26.75 . . . . square units
6/5 of ______ is 30
Please help
It is 36.
180/5 = 36
5/5 = 1
When we put that together, we can see that our complete answer is:
36/1
The complete and simplified answer to the question what is 6/5 of 30 is:
36.
How do I do problems like this????
Answer:
m<1 = 62°
m<2 = 45°
m<3 = 24°
Step-by-step explanation:
Hi!
Let me walk you through it!
The first step is to find angle 1.
Angle 1 is supplementary with the angle 118°
So we do 180° - 118° = 62°
m<1 = 62°
Then we find angle 2.
There are two ways to do this
The sum of interior angles in a triangle is 180°
So we do 180° - (73 + 62°)
Open parenthesis:
180° - 73° - 62° = 45°
You can also use the exterior angle theorem
118° = 73° + m<2
Same to both sides:
45° = m<2
So
m<2 = 45°
Now, using this information, we can find angle measure 3.
Now we look at the big triangle. Again, there are two ways to do this.
First way:
m<1 + 49° + m<2 + m<3 = 180°
Plug in known-values
62° + 49° + 45° + m<3 = 180°
Combine like terms:
156° + m<3 = 180°
Same to both sides:
m<3 = 24°
Second way:
Exterior angle theorem.
118° = m<2 + m<3 + 49°
Plug in known-values:
118° = 45° + m<3 +49°
Combine like terms:
118° = 94° + m<3
Same to both sides:
24° = m<3
So m<3 = 24°
There you go! You just need to take it step-by-step and you can get the answer. Be open-minded, don't just try to go for a certain angle, see what you can do, and work from there. It all comes together at the end.
Let me know if you have any questions, have a good day!
PLEASE HELPPPPP ME IN BEGGING YOU
Answer:
im going to say its B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
All you gotta do is take each angle and subtract it from 180. Jus learned dis in geometry.
180-133= 47
180-108=72
180-119=61