For what value of lambda, are the three vectors (1,1,2),(2,3,5),(1,3, lambda) R^3 linearly dependent?
The value of λ for which the vectors (1,1,3), (2,3,5),(13,λ) R³ linearly depend is 6.33
How to solve for the value of LambdaA vector could be defined as a quantity, such as velocity, completely specified by a magnitude and a direction.
The given vectors are
1 1 2
2 3 5
1 3 λ
The vectors are linearly dependent if their determinant is 0.
Using the rule of Sarrus to compute the determinant of the vectors
1 1 2 1 1
1 2 5 1 2 = 0
1 2 λ 1 2
1(2)(λ)+1(5)(1)+2(1)(2)-2(2)(1)-1(5)(2)-1(1)(λ)=0
Evaluate the expression
2λ+5+4+10+λ=0
3λ+19=0
3λ=-19
λ=-\(\frac{19}{3} \\\)
λ=-6.33
Therefore, the vectors are not linearly dependent. and the value of λ for which the vectors (1,1,3), (2,3,5),(13,λ) R³ linearly depend is 6.33
Learn more about linearly dependent vectors on brainly.com/question/12969894
#SPJ1
Please help me do this ::)))))
Answer:
2
Step-by-step explanation:
6x−2=10
6x−2+2=10+2(Add 2 to both sides)
6x=12
6x
6
=
12
6
(Divide both sides by 6)
x=2
Determine the angle between 0 and 2π that is coterminal with quantity \(\frac{19\pi }{4\\}\)
\(\frac{11\pi }{4} \\\\\frac{5\pi }{4} \\\\\frac{3\pi }{4} \\\\\frac{\pi }{4}\)
Answer:
\(\frac{3\pi}{4}\)
Step-by-step explanation:
Recall that co-terminal angles are angles which when drawn at standard position share a terminal side. Since we are restricted to the interval [0,2π], recognize that \(\frac{19\pi}{4}=\frac{16\pi}{4}+\frac{3\pi}{4}=4\pi+\frac{3\pi}{4}=2\pi+2\pi+\frac{3\pi}{4}=\frac{3\pi}{4}\). So, the co-terminal angle is \(\frac{3\pi}{4}\).
Statements
1. WXYZ is a
parallelogram with
diagonals
XZ and WY
intersecting at
point V.
2. WX // ZY and
XY // WZ
3. ZWXYZYZW
ZWXZ = ZYZX
4.XYZW
5. AWZVAYXV
6. WV YV
7. XZ bisects WY
Given
Reasons
Definition of a parallelogram
Opposite sides of a
parallelogram are congruent
Corresponding parts of
congruent triangles are
congruent
Definition of segment bisector
1. ZX ≅WY; WXYZ is a parallelogram. 1. Given
2. ZY≅ WX 2. The opposite sides of the
parallelogram are ≅
what is parallelogram ?There are 4 different kinds of parallelograms, including 3 unique kinds. The four types are rhombuses, squares, parallelograms, and rectangles.
There are not equal sides on a parallelogram. A parallelogram only has equal sides on its opposite sides.
what is segment bisector ?A line segment bisector splits a line segment into two equally sized pieces. It passes through the segment's halfway.
The following justifications are given for the choice made above:
The following is how the two-column proof is presented.
Statement Motive
1. ZX ≅WY; WXYZ is a parallelogram. 1. Given
2. ZY≅ WX 2. The opposite sides of the parallelogram are ≅
3. YX ≅ YX 3. The reflexive quality
4. Δ ZYX ≅ΔWXY 4. The SSS thm.
5 . ∠ZYX ≅ ∠WXY 5 . CPCTC
6 . m∠ZYX ≅m∠WXY 6. Def. of ≅
7. m∠ZYX + mWXY equal 180° 7. Parallelograms with consecutive s are additional
To know more about parallelogram visit :-
https://brainly.com/question/29147156
#SPJ1
Which expression is equivalent to 5^-2 x 5^5?
A. 25^-10
B. 5^-10
C.5^3
D.25^3
(LOOK AT THE PICTURE)
PLEASE HELPPP!!!
Answer:
5^3
Step-by-step explanation:
5^-2 * 5^5
We know that a^b * a^c = a^(b+c)
5^(-2+5)
5^3
3. There are five different tables in the class and five students. Each table can be occupied by only onestudent. Their
studying year consists of 200 days. As a small prank on their teacher students would like to sit in a new way every
day, so there are no two days during their studying year such that all students are occupying the same tables.
They would like to see whether this is possible. How many ways are there for them to sit in the class?
There are 3,125 different places to sit if they don't mind sharing s desk sometimes and there are 120 different places to sit, if they all sit on separate tables.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that there are five different tables in the class and five students
Each table can be occupied by only one student
There are 200 days of studying years.
As a small prank on their teacher students would like to sit in a new way every day, so there are no two days during their studying year such that all students are occupying the same tables.
5×4×3×2×1 = 120
There are 120 different places to sit, if they all sit on separate tables.
5×5×5×5×5 = 3,125
There are 3,125 different places to sit if they don't mind sharing s desk sometimes.
Hence, there are 120 different places to sit, if they all sit on separate tables and there are 3,125 different places to sit if they don't mind sharing s desk sometimes.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ1
If an alcohol and an organic acid are chemically combined, the resulting compound is called a (an)
a. ester.
b. halogen derivative.
C. lipid.
d. aromatic hydrocarbon.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
Alternate Exterior
Step-by-step explanation:
This can be considered a alternate exterior angles as alternate exterior angles are pair of angles on the outer side of each of those two lines but on opposite sides of the transversal which angles 3 and 6 show.
Pls help me ASAP -
Find the value of x.
8
18.5
11
None of the above
Answer:
8
Step-by-step explanation:
the two trapezoids are similar with each base being 7 units smaller than the previous
22-15 = 7
15-7 = 8
A person is running down the staircase. He is in a rush, so he may jump over some steps. If the staircase is 12 steps (including the top one, where he begins, and the last one, where he ends), in how many ways can he reach the bottom step in 5 jumps? What if there are no restrictions on the number of jumps? [Hint: keep
track of the steps he steps on. . .]
The number of ways that he can reach the bottom step in 5 jumps will be 792.
What are permutation and combination?A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.
Running down the stairway is someone. He could hop over some steps since he is in a hurry. When a staircase has 12 steps (including the top one, where he begins, and the last one, where he ends).
The number of ways will be given as,
¹²C₅ = (12!) / [(12 - 5)! x 5!]
¹²C₅ = (12 x 11 x 10 x 9 x 8 x 7!) / [7! x 5 x 4 x 3 x 2 x 1]
¹²C₅ = 11 x 9 x 8
¹²C₅ = 792
The number of ways that he can reach the bottom step in 5 jumps will be 792.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
#SPJ1
work out 13-4(3+6) and show the workings
Answer:
-23
Step-by-step explanation:
13-4(3+6)
13-4x9
13-36
-23
If the coordinates of A are (1, 1) and the midpoint of AB is
(-2,0), then the coordinates of B are
Answer:
The coordinates of B are (-5, -1).
Step-by-step explanation:
You can make a linear relationship. Since AB is 1 unit down and 3 units to the left of A, B must be 1 unit down and 3 units to the left of AB.
HELP PLSSS!!! 75 pts!!
Answer:
Step-by-step explanation:
Round 5 2/3 to the nearest whole number then subtract
if the temperature rises to 80 degrees, witch number would display best
-80 -180 80 180
Answer:
The answer is 80 :)
Step-by-step explanation:
Cylinders A and B have the same radius but different heights. Which
statement correctly compares cylinder A and cylinder B?
h = 10 cm
r= 6 cm
A
r= 6 cm
B
h = 30 cm
A. The height of cylinder B is 5 times the height of cylinder A
B. The volume of cylinder B is 5 times the volume of cylinder A.
C. The volume of cylinder B is 3 times the volume of cylinder A.
D. The heights of cylinders A and B are the same.
k
The correct statement that compares cylinder A and cylinder B is B. The volume of cylinder B is 5 times the volume of cylinder A.
To compare the cylinders A and B, we need to consider their dimensions and properties.
Cylinder A:
Radius (r) = 6 cm
Height (h) = 10 cm
Cylinder B:
Radius (r) = 6 cm
Height (h) = 30 cm
To compare the two cylinders, we can focus on their volumes since the radius is the same for both. The formula for the volume of a cylinder is given by V = πr²h, where V represents volume, r represents radius, and h represents height.
For cylinder A:
Volume of cylinder A = π(6 cm)²(10 cm) = 360π cm³
For cylinder B:
Volume of cylinder B = π(6 cm)²(30 cm) = 1080π cm³
Comparing the volumes, we can conclude that the volume of cylinder B is greater than the volume of cylinder A.
Therefore, the correct statement that compares cylinder A and cylinder B is:
B. The volume of cylinder B is 5 times the volume of cylinder A.
Option A is incorrect since the height of cylinder B is not 5 times the height of cylinder A. Option C is also incorrect as the volume of cylinder B is not 3 times the volume of cylinder A. Option D is incorrect as the heights of cylinders A and B are different.
for such more question on volume
https://brainly.com/question/6204273
#SPJ8
Wait so add 25.50 +25.50
What is the length of segment BC? (4 points)
A coordinate plane is shown. Point B is located at negative 3, negative 2, and point C is located at 0, 2. The points are connected by a line segment.
Group of answer choices
7 units
6 units
5 units
4 units
Answer:
5
Step-by-step explanation:
Just took the quiz, please give me Brainliest! God bless, and stay safe! <3
If u want to know what students think is the best season of the school year from school 76, what is the best way sample the students?
Answer:
B, it should be
Step-by-step explanation:
because its not A, because its just 7th and 8th
its not C, cause thats JUST 5th grade
its not D, because its part of a class, not the entire school.
Mark me Brainlest
what are the domain and range of this function
Y=(x+3)^2-5
Answer:
Domain: (−∞,∞)
Range: [−5,∞)
Can someone please help, ty!!
(Will mark brainliest)
Answer:
Class 1 would have the largest range
Step-by-step explanation:
You should mark me brainliest!
-1.8 + (2.1) show ur work
Answer:
0.3
Step-by-step explanation:
Simplify: -1.8 + 2.1-1.8 + 2.1 = 0.3I hope this helps!
there's 240 candy bars 1/4 of candy bars are snickers 1/3 of the candy bars are twix 1/8 of the candy bars are hershey. how many candy bars are Mars? explain not with a lot of words but in numbers please.
Answer:
you have to add all the fractions of the candy1/4+1/3+1/8
=17/24
subtract from 1Step-by-step explanation:
1-17/24
=7/24
multiply with the total number of candy7/24×240
=70
inverse the multiplier into its reciprocal fraction and proceed into multiplication of fractions. 1 1 1 4 8 Soluuon: 1 3 1 1 3 1 9 Solution
Answer:
Step-by-step explanation:
To complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions.
To find
Step 1:
Rewrite it as
.
Step 2:
Multiply the numerator and the denominator by the reciprocal of
.
A card is randomly selected from a standard
deck of playing cards. Find the probability
that it is a face card, given that a black card
is drawn.
Answer:
3 / 13
Step-by-step explanation:
Hello!
There are 52 cards in a deck with half being red and half being black. The question ask for when a black card is drawn so we divide the total by 2
52/ 2 = 26
There are 6 black face cards in a deck so to get the probability one will be drawn we put how many there are over the total amount
6/26 we can simplify this
3 / 13
The answer is 3 / 13
Hope this helps!
Answer:
3/13
Step-by-step explanation:
In a standard 52-card deck, there are 26 black cards and 26 red cards. Of the 26 black cards, 13 are spades and 13 are clubs. Each suit has 3 face cards, Jack, Queen, and King. Therefore, there are 6 black face cards out of a total of 26 black cards.
p(face given black) = 6/26 = 3/13
When (3x + 2)^2 is subtracted from 10x^2, the result is
does 4/6 square yard cover more or less area than 1 square yard.
Answer:
The 4/6 square yard cover less area than 1 square yard.
Step-by-step explanation:
If you simplify \(\frac{4}{6}\), it'll equal to \(\frac{2}{3}\) which is the same as 0.6 with a bar on top of 6. 0.6 with a bar on top of 6 is less than 1.
The 0.6 with a bar on top of 6 is less than 1.
To compare the given problem.
What is simplification?Simplification means simplifying processes involved in work towards consistency of efforts, costs and time. It eliminates useless and disadvantageous (or unnecessary) diversity and variety.
Given that:
Simplify 4/6, it’ll equal to 2/3 which is the same as 0.6 with a bar on top of 6.
0.6 with a bar on top of 6 is less than 1.
So, the 0.6 with a bar on top of 6 is less than 1.
Learn more about simplification here:
https://brainly.com/question/22252319
#SPJ2
22. Due to heavy floods in Bagmati province, thousand were rendered homeless 50 schools collectively decided to provide canvas for 1500 tents and share the whole expenditure equally. The lower part of each tent is cylindrical with base radius 2.8 and height 3.5m and the upper part is conical with the same base radius, but of height 2.1 m. If the canvas used to make the tents costs Rs 120 per m², find the amount shared by each school to set up the tents.
Answer: To calculate the amount of canvas needed for one tent, we need to calculate the total surface area of the tent. The tent consists of two parts: the cylindrical lower part and the conical upper part.
The surface area of the cylindrical part can be calculated as follows:
The base area of the cylinder = π × r² = π × 2.8² ≈ 24.61 m²
The lateral area of the cylinder = 2 × π × r × h = 2 × π × 2.8 × 3.5 ≈ 54.99 m²
So, the total surface area of the cylindrical part is the sum of the base area and lateral area, which is:
Total surface area of cylindrical part = 24.61 + 54.99 ≈ 79.60 m²
The surface area of the conical part can be calculated as follows:
The slant height of the cone = √(r² + h²) = √(2.8² + 2.1²) ≈ 3.44 m
The lateral area of the cone = π × r × slant height = π × 2.8 × 3.44 ≈ 24.12 m²
So, the total surface area of the conical part is the sum of the base area and lateral area, which is:
Total surface area of conical part = 24.61 + 24.12 ≈ 48.73 m²
Therefore, the total surface area of one tent is:
Total surface area of one tent = 79.60 + 48.73 ≈ 128.33 m²
To make 1500 tents, the total amount of canvas required is:
Total amount of canvas required = 1500 × 128.33 ≈ 192,495 m²
The cost of the canvas is given as Rs 120 per m². Therefore, the total cost of the canvas required to make the tents is:
Total cost of canvas = 192,495 × 120 ≈ Rs 23,099,400
As 50 schools have decided to share the expenditure equally, the amount shared by each school will be:
Amount shared by each school = Total cost of canvas / 50
Amount shared by each school = 23,099,400 / 50
Amount shared by each school ≈ Rs 461,988
Therefore, each school will have to contribute approximately Rs 461,988 to set up the tents.
Step-by-step explanation:
MAX POINTS AND A BRAINLYEST! Show work!!!
P = 2w + 21
\(\huge \bf༆ Answer ༄\)
Let's solve ~
\( \sf{}p = 2w + 2l\)\( \sf{}2w = p - 2l \)\( \sf{}w = \dfrac{p - 2l}{2} \)\( \sf w = \dfrac{p}{2} - l \)The point (2, 4) is reflected over the x-axis. What are its new coordinates?Use the blank grid below it it helps.-6-54-321-6ch-4-3-2.-1O3N56-1-2-3--4--5-6O (2,-4)O (-2,-4)O (4,2)O (-2,4)
Let:
\(\begin{gathered} A=(x1,y1)=(2,4) \\ A^{\prime}=(x1^{\prime},y1^{\prime}) \end{gathered}\)After a reflection over the x-axis:
\(A\to(x,-y)\to A^{\prime}=(2,-4)\)Answer:
(2,-4)