Jax is at the gym about to lift weights. He finds the bar already has weights on it, but some are not labeled.
Answers
Answer:
what's the question?
Step-by-step explanation:
Related Questions
Let A be a n x n matrix and let B = I - 2A + A²
a.) Show that if x is an eigenvector of A belonging to an eigenvalue α of A, then x is also an eigenvector of B belonging to an eigenvalue µ of B. How are ? and µ related?
b.) Show that if α = 1 is an eigenvalue of A, then the matrix B will be singular.NOTE - α was originally supposed to be Mu, but the symbol isnt supported.
Answers
a. x is an eigenvector of B belonging to an eigenvalue µ = (1 - 2α + α²) of B. b. x is an eigenvector of B belonging to an eigenvalue µ = 0 of B. Since B has a zero eigenvalue, it is singular.
a) Let x be an eigenvector of A belonging to an eigenvalue α of A, then we have:
Ax = αx
Multiplying both sides by A and rearranging, we get:
A²x = αAx = α²x
Now, substituting (I - 2A + A²) for B, we have:
Bx = (I - 2A + A²)x = Ix - 2Ax + A²x
= x - 2αx + α²x (using Ax = αx and A²x = α²x)
= (1 - 2α + α²)x
So, x is an eigenvector of B belonging to an eigenvalue µ = (1 - 2α + α²) of B.
b) If α = 1 is an eigenvalue of A, then we have:
Ax = αx = x
Multiplying both sides by A and rearranging, we get:
A²x = A(x) = α(x) = x
Now, substituting (I - 2A + A²) for B, we have:
Bx = (I - 2A + A²)x = Ix - 2Ax + A²x
= x - 2x + x (using Ax = x and A²x = x)
= 0
So, x is an eigenvector of B belonging to an eigenvalue µ = 0 of B. Since B has a zero eigenvalue, it is singular.
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Question 38.
Write the first six terms of the arithmetic sequence with the first term, a1 = 240, and common difference, d= 24.
The first six terms are a1 = ,a3= , a4= ,a5= , and a6= .
Answers
\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)
2x + 4y = 18
help pls
Answers
Answer:
Is that good?I think your age like mine because, I took it last week.
1/3(3+2x)−1=10
PLEASE HURRY I NEED It IN LIKE 2 MINUTES
Answers
Answer:
x=15
Step-by-step explanation:
crown plz
A digital copier copies in color at a rate of 30 pages per minute. find the time required to copy z pages.
Answers
It would take 3 minutes to copy 90 pages using the given digital copier.
To find the time required to copy z pages using a digital copier that copies in color at a rate of 30 pages per minute, we can use the concept of unitary method.
Since the copier can copy 30 pages per minute, we can set up a proportion to relate the number of pages and the time required:
30 pages / 1 minute = z pages / t minutes
Cross-multiplying the equation, we get:
30t = z
Now, we can solve for t by isolating it:
t = z / 30
Therefore, the time required to copy z pages is equal to z divided by 30.
For example, if we want to find the time required to copy 90 pages, we substitute z = 90 into the equation:
t = 90 / 30
t = 3 minutes
So, it would take 3 minutes to copy 90 pages using the given digital copier.
In general, the time required to copy z pages can be calculated by dividing the number of pages (z) by the copier's copying rate (30 pages per minute). This approach assumes a constant copying speed throughout the process.
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how do you Express the area of the entire rectangle.
Answers
Answer:
x^2+6x+8 or (x+2)*(x+4)
Step-by-step explanation:
area = length * width
area = (x+2)*(x+4)
(just expanded the brackets)
area = x^2+6x+8
Answer:
x^2+6x+8
Step-by-step explanation:
The initial way to represent the area of the entire rectangle is (x+2)*(x+4).
With this, we can multiply the two together using the FOIL method (First, Outside, Inside, Last).
x*x=x^2
x*4=4x
2*x=2x
2*4=8
Add these together, and you get your final answer:
x^2+6x+8
Which graph represents the function f(x)=x2−49x+7?
Answers
Answer:
Step-by-step explanation:
on june 1, grey co. borrows $15,000 cash from national bank by signing a 120-day, 10% interest-bearing note. grey will record interest during the year totaling $ ____
Answers
Grey will record interest during the year totaling $500.
Define the term interest-bearing note?An interest-bearing note is a sum of money that a lender lends to a borrower, with interest accruing in line with the conditions of the contract.Notes with an interest component have a defined rate of interest that must be paid on top of the principal amount. There is no specified interest rate on zero-bearing and non-interest bearing notes.For the stated question-
Borrowed money from national bank = $15,000.
Time 120 days.
10% interest-bearing note
Thus, interest during the year;
interest = 15000 x 120 x 0.10 / 360 (days)
interest = 500
Thus, Grey will record interest during the year totaling $500.
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Calculate the rate of change between the points (-6, -20) and (8, 22).
The rate of change between these points is:
Answers
Answer:
The rate change between these points is 3.
Step-by-step explanation:
Answer:
Rate of Change is 3
Step-by-step explanation:
The rate of change between two points is called the 'slope'.
x1-x2 -6-8 -14
____ = ____ = ___ = Divide = 3
y1-y2 -20 - 22 -42
For every 4 feet a ladder rises, the base of a ladder should be placed 1 foot away from the bottom of a building. If the base of a ladder is 7 feet from the bottom of a building, find the height the ladder rises up the building?
Answers
Q.Given that 4a:3=8:2.Find a.
Answers
Answer:
4a:3=8:2
so we multiply 4a to 2 equal to 8 times 3
4a×2=8×3
so a=3
Answer:
a = 3
Step-by-step explanation:
Express the ratios in fractional form , that is
\(\frac{4a}{3}\) = \(\frac{8}{2}\) ( cross- multiply )
8a = 24 ( divide both sides by 8 )
a = 3
if an applicant has a 60 percent chance of getting a certain job, then what is the probability that this applicant will not get this job?
Answers
The probability that this applicant will not get the job is 0.40 or 40%.
If an applicant has a 60% chance of getting a certain job, then the probability of not getting the job can be calculated by subtracting the probability of getting the job from 1.
Probability of not getting the job = 1 - Probability of getting the job
Given that the applicant has a 60% chance of getting the job, the probability of getting the job is 0.60.
Therefore, the probability of not getting the job is:
Probability of not getting the job = 1 - 0.60 = 0.40
So, the probability that this applicant will not get the job is 0.40 or 40%.
This means that there is a 40% chance that the applicant will not be selected for the job based on the given information.
It is important to note that this probability assumes that the chance of getting the job and not getting the job are the only possible outcomes and that they are mutually exclusive (i.e., the applicant either gets the job or does not get the job).
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Events D and E are independent, with P(D)- 0.6 and P(D and E) - 0.18. Which of the following is true? A. P(E)- 0.12 B. P(E) = 0.4 C. P(D or E)-0.28 D. P(D or E) 0.72 E. P(D or E)-0.9
Answers
The correct statement is: A. P(E) = 0.3. The probability of event E, denoted as P(E), is equal to 0.3.
To determine the correct answer, let's analyze the given information.
We know that events D and E are independent, which means that the occurrence of one event does not affect the probability of the other event happening.
Given:
P(D) = 0.6
P(D and E) = 0.18
Since events D and E are independent, the probability of both events occurring (P(D and E)) can be calculated as the product of their individual probabilities:
P(D and E) = P(D) * P(E)
Substituting the given values:
0.18 = 0.6 * P(E)
To find the value of P(E), we can rearrange the equation:
P(E) = 0.18 / 0.6
P(E) = 0.3
Therefore, the correct answer is A. P(E) = 0.3.
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You start driving east for 14 miles, turn left, and drive north for another 6 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answers
Answer: 15.2
Step-by-step explanation:
(14)^2 + (6)^2 = c^2
196 + 36 = c^2
232 = c^2
Square root both sides
15.231546 = c
15.2 ≈ c
The distance of the straight line from the starting point by the is is 15.2 miles.
What is the distance of a point from a line?The distance between a point and a line is the shortest distance between them.
Pythagoras TheoremIt states that if a triangle is right-angled (90 degrees), then the square of hypotenuse is equals to the sum of the squares of the other two sides.
Pythagoras Theorem EquationIf ΔOAB is a right angled triangle, right angle at A
then the Pythagoras equation will be
\(OB^{2} =AB^{2} +OA^{2}\)
(where OB, OA and AB are the length of the sides of triangle OAB)
According to the question
We have to find ,the distance of straight line from the starting point.
From, the provided figure we can conclude that OB is the straight line whose distance to be find
In ΔOAB, we have
\(OB^{2} =OA^{2} +AB^{2}\) (By Pythagoras theorem)
\(OB^{2} =14^{2} +6^{2}\)
\(OB^{2} =196+36\)
\(OB=\sqrt{232} \\OB= 15.23 miles\)
\(OB=15.2 miles\)
Hence, the distance of straight line from the starting point is 15.2 miles.
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In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=21 miles and c=75 miles, what is b? If necessary, round to the nearest tenth.
Answers
Answer:
C = 29.7
Step-by-step explanation:
Remember to use a^2 + b^2 = c^2
21^2+ 21^2 = c^2
441 + 441 = c^2
882 = c^2
you square root both sides
c= 29.6984
Round it
C = 29.7
4) In A ABC, m B = 25°, b = 12 and c = 21. Find all possible m2 C to the
nearest degree.
Answers
Answer:
47.7° or 132.3°
Step-by-step explanation:
In A ABC, m B = 25°, b = 12 and c = 21. Find all possible mC to the
nearest degree.
We solve the above question using Laws of sines.
The formula is given as
b/sin B = c/sin C
b = 12
B = 25°
c = 21
C = ?
Hence:
12/sin 25 = 21/sin C
Cross Mulitiply
= 12 × sin C = sin 25 × 21
sin C = sin 25 × 21/12
C = arc sin (sin 25 × 21/12)
C = 47.7°
The second possible value of C =
180° - 47.7°
= 132.3°
Therefore, all the possible values of mC = 47.7° or 132.3°
Help me, please i really need this answered
Answers
Answer:
f(x) = * 6
Step-by-step explanation:
Since the pattern goes : 1/6, 1, 6, 36, 216, 1,296 you can see a pattern that results with multiplying every number with 6.
1/6 * 6 = 1
1 * 6 = 6
6 * 6 = 36
36 * 6 = 216
216 * 6 = 1296
If m ∠ F L G = 14 x + 5 ° and m ∠ H L G = 17 x − 1 ° , find m ∠ F L H .
Answers
The value of ∠ F L H is 3x-6°
∠FLG and ∠FLH are adjacent angles with L being the common vertex and both the angles form the ∠HLG
As ∠FLG is given as 14x + 5° and ∠ H L G is given as 17 x − 1 °
We need to find the value of ∠ F L H
We can write that ∠FLG +∠FLH = ∠ H L G
by putting the values given
14 x + 5 ° + ∠ F L H = 17 x − 1 °
∠ F L H = 17x-1 - (14x + 50
Here we got a linear equation in one variable and by solving the equation we will get the value of ∠ F L H
∠ F L H = 17x - 1 - 14x -5
∠ F L H = 3x-6
Hence, the value of ∠ F L H is 3x-6°
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11. - a? - 2bc - Icl
if a = -2, b = 3,
and c = -3
problem in the photo
algebra
Answers
Answer:
11
Step-by-step explanation:
remember that the absolute value function always gives a positive value, that is
| - a | = | a | = a
substitute the given values into the expression
- a² - 2bc - | c |
= - (- 2)² - 2(3)(- 3) - | - 3 |
= - (4) - 2(- 9) - | 3 |
= - 4 + 18 - 3
= 14 - 3
= 11
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Problem: A cylindrical can is to be made to hold 500 cubic centimeters of liquid. Determine the dimensions of the can that minimize the cost of the material to manufacture it, given that the top and bottom are twice as expensive per square centimeter as the sides.
Answers
The dimensions of the can that minimize the cost of the material are approximately:
Radius (r) ≈ 6.324 cm
Height (h) ≈ 3.984 cm
To determine the dimensions of the can that minimize the cost of the material, we need to find the dimensions that minimize the surface area of the can.
Let's assume the can has a height of h and a radius of r.
The volume of a cylinder is given by:
V = πr²h
Given that the can should hold 500 cubic centimeters of liquid, we have:
500 = πr²h
We want to minimize the cost, which depends on the surface area of the can.
The surface area of the can is the sum of the areas of the top, bottom, and side surfaces.
The cost of the top and bottom surfaces is twice as expensive per square centimeter as the sides.
Let's assume the cost per square centimeter of the sides is c, so the cost per square centimeter of the top and bottom surfaces is 2c.
The surface area of the sides of the cylinder is given by:
A_sides = 2πrh
The surface area of the top and bottom surfaces (each) is given by:
A_top_bottom = 2πr²
The total surface area (cost) is given by:
Cost = 2(2c)A_top_bottom + cA_sides
= 4cπr² + 2c(2πrh)
= 4cπr² + 4cπrh
To minimize the cost, we need to minimize the surface area. To do this, we can express the surface area in terms of a single variable, such as the radius (r) or the height (h).
From the volume equation, we have:
h = 500 / (πr²)
Substituting this value of h into the surface area equation, we get:
Cost = 4cπr² + 4cπr(500 / (πr²))
= 4cπr² + 2000c/r
Now, we can take the derivative of the cost function with respect to r, set it equal to zero, and solve for r to find the critical points:
dCost/dr = 8cπr - 2000c/r² = 0
8cπr = 2000c/r²
8πr³ = 2000
r³ = 250 / π
r ≈ 6.324
Now, we can substitute this value of r back into the equation for h:
h = 500 / (π(6.324)²)
≈ 3.984
So, the dimensions of the can that minimize the cost of the material are approximately:
Radius (r) ≈ 6.324 cm
Height (h) ≈ 3.984 cm
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could someone please help with these two questions (I WILL MARK BRAINLAST)
question 1: which of these points lies on the line y = -x + 2
question 2: evaluate: -ab-a if a=-4 and b =-5
Answers
Answer:
1. b
2. -16
Step-by-step explanation:
1. -1+2 is equal to 1 so it works
You plug in each of the coordinates x and y variables on the graph and find one that satisfies the equation.
2. -(-4)(-5) is -20
-(-4) is = 4
-20+4 is -16
uhh i need help please...
Answers
Answer:
what you need help?
Step-by-step explanation:
Find the volume of a pyramid with a square base, where the area of the base is 6.5 m 2 6.5 m 2 and the height of the pyramid is 8.6 m 8.6 m. Round your answer to the nearest tenth of a cubic meter.
Answers
The volume of the pyramid is 18.86 cubic meters.
Now, For the volume of a pyramid with a square base, we can use the formula:
Volume = (1/3) x Base Area x Height
Given that;
the area of the base is 6.5 m² and the height of the pyramid is 8.6 m,
Hence, we can substitute these values in the formula to get:
Volume = (1/3) x 6.5 m² x 8.6 m
Volume = 18.86 m³
(rounded to two decimal places)
Therefore, the volume of the pyramid is 18.86 cubic meters.
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What percentage of teens and young adults have retail jobs? 5% 7% 8% 19%.
Answers
the answer is 19 percent
The percentage of teens and young adults in the pie chart that represents retail jobs is 19%.
What is a pie chart?A Pie chart is a type of graph that displays data in a circular graph.
The pie chart above is used to represent the percentage of young adults and teen that works in various industry.
The industries represented in the pie chart includes leisure and hospitality, retails trade, education and health sector, Manufacturing, construction, government and many more.
Therefore, the percentage of teens and young adults that represents retail jobs is 19%.
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21•____=7
what is it
Answers
Answer:
.333 repeating
Step-by-step explanation:
21 • x = 7
21x = 7
21x/21 = 7/21
x = 0.3333
Hope this helped! pls give branliest so i can level up
The value in the blank is 1/3 in the equation
What is Equation?Two or more expressions with an Equal sign is called as Equation.
We have to find the value in blank
Let x be the value in blank
21x=7
We have to find the value of x
Divide both sides by 21
x=7/21
Divide both numerator and denominator by 7
x=1/3
Hence, the value in the blank is 1/3 in the equation
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1. Evaluate: 3x³- 2x² + 7y for x = -3 and y = -7.
A -148
B 14
C 112
D -112
Answers
Answer:
A. -148
Step-by-step explanation:
3x³ - 2x² + 7y
3(-3)³ - 2(-3)² + 7(-7)
3(-27) - 2(9) - 49
-81 - 18 - 49
-148
I hope this helps!
-81-18-49
-148
The answer is -148
Can I have some help please??? Thanks!!!!
Answers
Answer:
60 units^2
Step-by-step explanation:
In order to find the area of a triangle, you do baseXheight/2. However, we don't have the height. So, we use the pythagorean theorem to solve for the missing side.
8^2+x^2=17^2
64+x^2=289
x^2=225
x=15
So, now we can solve for the area.
15*8=120
And divide by 2 we get 60
if a= 1 −3 −3 5 and ab= −5 −5 6 3 7 4 , determine the first and second columns of b. let b1 be column 1 of b and b2 be column 2 of b.
Answers
the first column of matrix b (b1) is [1, -3, 1] and the second column of matrix b (b2) is [1, 3, 1].
To determine the first and second columns of matrix b, we need to find the values of b1 and b2.
Given that a = [1, -3; -3, 5] and ab = [-5, -5; 6, 3; 7, 4], we can set up the following equation:
ab = [a * b1, a * b2]
To find b1, we can solve the equation:
[-5, -5; 6, 3; 7, 4] = [1, -3; -3, 5] * [b1, b2]
By matrix multiplication, we can write the following system of equations:
-5 = 1 * b1 + -3 * b2
6 = -3 * b1 + 5 * b2
7 = 1 * b1 + -3 * b2
Simplifying these equations, we have:
-5 = b1 - 3b2
6 = -3b1 + 5b2
7 = b1 - 3b2
We can solve this system of linear equations to find the values of b1 and b2.
Adding the first and third equations, we get:
2b1 = 2
Dividing by 2, we find:
b1 = 1
Substituting b1 = 1 into the second equation, we have:
6 = -3 + 5b2
5 = 5b2
b2 = 1
Therefore, the first column of matrix b (b1) is [1, -3, 1] and the second column of matrix b (b2) is [1, 3, 1].
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can you help solve, -( 2x -1 ) ???
Answers
steps:
1. -(2x-1)
2. -1(2x-1)
3. -1*2x = -2x
4. -1*-1 = +1
5. -2x+1 or 1-2x
"
Compute the line integral fF.dr, where F(x, y) = (6.c’y – 2y6,3x – ) + 4.23) and C is the curve around the triangle from (-1, 2), to (-1, -4), then to (-3,0) and back to (-1, 2). TC
"
Answers
The line integral of the vector field F along a curve C is represented as fF.dr and is equal to the surface area enclosed between the curve and the vector field.
Curve: Given curve C is a triangle that starts from (-1, 2), ends at (-1, -4), passes through (-3, 0), and returns to the starting point. The curve is as shown below:
[asy]
import graph;
size(150);
Label f;
f.p=fontsize(4);
xaxis(-4,2,Ticks(f, 2.0));
yaxis(-5,3,Ticks(f, 2.0));
real F(real x)
{
real a;
a=x^2-1;
return a;
}
draw((0,-5)--(0,3),EndArrow(4));
draw((-4,0)--(2,0),EndArrow(4));
draw(graph(F,-2,2), linewidth(1bp));
dot((-1,2));
dot((-1,-4));
dot((-3,0));
[/asy]
Thus, we see that the given curve is a closed triangle, which indicates that the line integral of any function around this curve is zero.
Now, we need to calculate the line integral fF.dr, which is given as:$$\int_C F.dr$$Since the curve C is a triangle, we can calculate the integral by summing the line integrals of each of the three sides of the triangle. Thus, we have:$$\int_C F.dr = \int_{-1}^{-3}F_1(x,y(x)).dx + \int_{-4}^{0}F_2(x(y),y).dy + \int_{-3}^{-1}F_3(x,y(x)).dx$$$$= \int_{-1}^{-3}(6y(x)-2y^6, 3x).dx + \int_{-4}^{0}(3x,4).dy + \int_{-3}^{-1}(6y(x)-2y^6,-3x+4).dx$$$$= \int_{-1}^{-3}(6y(x)-2y^6).dx + \int_{-4}^{0}4.dy + \int_{-3}^{-1}(6y(x)-2y^6).dx$$$$= -8 + 16 + 8 = 16$$Therefore, the line integral fF.dr around the given curve C is 16.
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