When n columns of S (eigenvectors of A) are independent, then:
(a) A is invertible is a false statement.
(b) A is diagonalizable is a true statement
Why is A not invertible?Others are:
(c) S is invertible true statement.
(d) S is diagonalizable false statement.
Note that if n columns of S (eigen vectors of A) are said to be independent.
One can deduce or see that the eigen vector that is similar to the eigen value is said to be = 0 and one can say it is linearly independent when viewed with the other eigen vectors of A.
But because to the zero eigen value of A, we see that the determinant of A is the output of eigen values of A which is = 0 and as such, A is not invertible.
So, the linear independence of eigen vectors will not be able to find the invertibility of A and as such A is diagonalizable.
Learn more about independent variables from
https://brainly.com/question/9515546
#SPJ1
The diagram shows a right angled triangle 13cm, 24 degrees, what is the value of H?
Answer: h=11.9
Step-by-step explanation:
We know that the hypotenuse is 13 and we have the adjacent side of the angle 24. This means we can use cosine to solve.
[tex]cos(x)=\frac{adjacent}{hypotenuse} \\cos(24)=\frac{h}{13}[/tex]
Multiply both sides by 13 to isolate h
[tex]cos(24)=\frac{h}{13} \\(13)cos(24)=\frac{h}{13}(13)\\13cos(24)=h[/tex]
h=11.9
How do I do this? :(
Answer:
2762 in²
Step-by-step explanation:
The total surface area of a figure is the sum of the areas of its faces.
Area of rectangle= length ×breadth
Assuming that this is a closed box, the total surface area is the total area of its 6 rectangular faces.
Two rectangles have dimensions of 7 in. ×19 in., another two rectangles have dimensions of 48 in. ×7 in., and the last two rectangles have dimensions of 48 in. ×19 in.
Surface area of the figure
= 2(7)(19) +2(48)(7) +2(48)(19)
= 266 +672 +1824
= 2762 in²
pls pls pls help ill give you a dollar :)
Answer:
1296
Step-by-step explanation:
ignore the first answer
Find x and y... Thanks!
Determine the monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months. a. $93.32 b. $95.40 c. $211.33 d. $253.60 please select the best answer from the choices provided a b c d
The monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months is $93.32.
loan amount P = $3000
Rate of interest = 7.5% per annum
So, monthly rate of interest r= 7.5/12 %
Tenure n = 36 months
What is the formula to calculate monthly payments?The formula to calculate monthly payments is given
[tex]EMI=\frac{Pr}{1-(r+1)^{-n} }[/tex]...........(1)
Where P =loan amount
r = monthly rate of interest
n=tenure
So by substituting the given values in (1) the monthly payment = $93.32
Hence, the monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months is $93.32.
To get more about monthly payments visit:
https://brainly.com/question/25599836
need help with 3 and 4
Answer:
Step-by-step explanation:
Colonel Mustard is making a candle by pouring melted wax into a mold in the shape of a cone. The radius is 6 cm, and the height of the cone is 11 cm. To get the wax for the candle, she melts cubes of wax that are each 4 cm by 4 cm by 4 cm. How many of the wax cubes will Colonel Mustard need in order to make the candle? Show your work.
Answer:
Colonel Mustard would need to use 2 cubes of wax
pls give brainlyist
Step-by-step explanation:
first solve for area of cone
V = 1/3(BH)
1/3(18.84955592 * 11)
69.11503837cm^3
then solve for the cubes
B*H*W
4*4*4
64cm^3
divide the cone volume by the cubes volume and round up to the largest hole number
1.07992247
round up
2
consider the right triangle shown. what are the values of sin x and cos x?
A. sin x = 5/13, cos x = 12/13
B. sin x= 12/13, cos x= 5/13
C. sin x= 13/5, cos x= 13/12
D. sin x = 13/12, cos x= 13/5
Answer:
A. sin x = 5/13, cos x = 12/13
Describe two ways to determine the maximum or minimum of the quadratic function f(x)= -3x²+27x-42. Find the maximum or minimum using each method
Answer:
Find by using 1st derivative test (tests slope) or 2nd derivative test (test concavity). Maximum is 18.75.
Step-by-step explanation:
The maximum of the equation is found when the slope is 0; therefore, take the derivative of the equation, find the critical point and find whether the function is increasing or decreasing around the critical point. To do this use test values within the interval of (-∞, 4.5) and (4.5, ∞). You then find that (-∞, 4.5) is increasing meaning there is a maximum. Plug in 4.5 into f(x) to find the y value.
Second method is using the 2nd derivative test. Find the second derivative and use the same method of testing intervals but instead plugging in test values to the 2nd derivative. You then find that f''(x) is < 0 meaning the function is concave down, thus having a maximum. Plug in 4.5 to find the y value.
What is the product of the binomials (4a – 1) and (2b 3)? 18ab – 3 8a2b2 10ab – 3 6ab 7a – 2b – 3 8ab 12a – 2b – 3
Binomials are polynomials with two terms.The product of the binomial (4a-1) and (2b+3) is 8ab+12a-2b-3.
What are polynomial?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
The product of the binomial can be done as,
[tex](4a-1) \times (2b+3)\\\\= (4a \times 2b)+(4a \times 3)+(-1 \times 2b)+(-1\times 3) \\\\= 8ab+12a-2b-3[/tex]
Thus, the product of the binomial (4a-1) and (2b+3) is 8ab+12a-2b-3.
Learn more about Polynomial:
https://brainly.com/question/17822016
Answer:
Answer is D
Step-by-step explanation:
Triangle ABC is similar to triangle WYZ.
Select all angles whose cosine equals 3/5
Angle Y
Angle A
Angle B
Angle C
Angle W
Angle Z
Answer:
∠B
∠Y
Step-by-step explanation:
we know that
In the right triangle ABC
----> opposite side to angle B divided by the adjacent side to angle B
substitute the values
Remember that
If two triangles are similar, then the corresponding sides are proportional and the corresponding angles are congruent
so
∠A=∠W
∠B=∠Y
∠C=∠Z
You purchase Diamond Club Seats for the Cincinnati Reds upcoming game. You purchase 5 tickets for your favorite teachers. They are $175.000 each. Tax is 7.5% calculate the total cost of the tickets. Show work in the space provided.
Dana made a paper box that is 8 in. long, 5 in. wide, and 1in. high. It is shaped like a rectangular prism. What is the surface area of the box?
What is the solution for the equation startfraction 5 over 3 b cubed minus 2 b squared minus 5 endfraction = startfraction 2 over b cubed minus 2 endfraction? b = –4 and b = 0 b = –4 b = 0 and b = 4 b = 4
An equation is formed of two equal expressions. The solution of the equation is 4.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of the equation can be written as,
[tex]\dfrac{5}{3b^3-2b^2-5} = \dfrac{2}{b^3-2}\\\\5(b^3-2) = 2(3b^3-2b^2-5)\\\\5b^3-10=6b^3-4b^2-10\\\\5b^3-10-6b^3+4b^2+10=0\\\\-b^3+4b^2=0\\\\b^2(-b+4)=0\\\\-b+4=0\\\\-b=-4\\\\b=4[/tex]
Thus, the solution of the equation is 4.
Learn more about Equation:
https://brainly.com/question/2263981
Answer:
c
Step-by-step explanation:
If , m-2/12=1/6then which of the following is true?
1. m + 2 = 2
2. 2 m + 2 = 5
3. m + 4 = 6
4. 2 m + 4 = 5
HELP ILL GIVE YOU 75 POINTS
hope someone answer it
Answer:
9) A. ∠1 and ∠3
10) B. Angle 2
11) B. 110°
12) B. 70°
Step-by-step explanation:
Vertical angles: a pair of opposite angles formed by two lines intersecting. Vertical angles are congruent.
The vertical angles in the given diagram are ∠1 and ∠3 AND ∠2 and ∠4
These pairs of angles are equal, so: ∠1 =∠3 AND ∠2 =∠4
Therefore:
If ∠1 = 110° then ∠3 = 110°
If ∠2 = 70° then ∠4 = 70°
The circumference of a circle is 15(pie) centimeters. what is the area Of the circle in terms of (pie)
Answer:
56.25π cm^2
Step-by-step explanation:
circumference = 15π
diameter*π = circumference
diameter = 15π/π
radius*2 = diameter
radius*2 = 15
radius = 7.5
area = π*radius^2
area = π*7.5^2
area = 56.25π
Answer:
A = 56.25π cm²
Step-by-step explanation:
the area (A) of a circle is calculated as
A = πr² ( r is the radius )
to find r use the circumference formula
C = 2πr
given C = 15π , then
2πr = 15π ( divide both sides by 2π )
r = 7.5 cm
then
A = π × 7.5² = 56.25π cm²
What is 0. 5¯7 expressed as a fraction in simplest form?
Answer:
5/7 cannot be simplified any further
Step-by-step explanation:
Fred is training for a cross-country race. At practice last week, he ran 6. 25 miles in 1
1
4
hours. At that speed, how long would it take Fred to run 8. 5 miles?
Answer:
1.36
Step-by-step explanation:
Answer:
1.7 hours
Step-by-step explanation:
IXL is pain.
Which expression represents the surface area of the prism?
Answer:
D
Step-by-step explanation:
The corners are 2
The sides can be 5 or 3
3 is after 2 and 5 is before 2
Answer:
15 + 15 + 10 + 10 + 6 + 6
This is the sum of the areas of the 6 rectangular faces.
Hope this helped.
Which solution to the equation startfraction 3 over 2 g 8 endfraction = startfraction g 2 over g squared minus 16 endfraction is extraneous? g = –4 g = –4 and g = 16 neither g = –4 nor g = 16 g = 16
An equation is formed when two equal expressions. The equation has only one solution which is equal to 16.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution to the equation can be done in the following manner,
[tex]\dfrac{3}{2g+8} = \dfrac{g+2}{g^2-16}\\\\3(g^2-16)= (g+2)(2g+8)\\\\3g^2 - 48 = 2g^2+8g+4g+16\\\\3g^2-48=2g^2+12g+16\\\\3g^2-2g^2-12g-48-16=0\\\\g^2-12g-64=0\\\\g^2-16g+4g-64=0\\\\g(g-16) + 4 (g-16)=0\\\\(g-16)(g+4)=0[/tex]
Thus, we will get the value of g as -4 and 16. But if we substitute the value of g as -4, the equation will have 0 as the denominator on both sides.
Hence, the equation has only one solution which is equal to 16.
Learn more about Equation:
https://brainly.com/question/2263981
Answer:
D
Step-by-step explanation:
D
Dakota's wading pool has a volume of 8,640 cubic inches. Which could be the dimensions of the wading pool?
Answer:
Possible dimensions are 10, 4, and 216.
Step-by-step explanation:
All we have to do is find three numbers, that when multiplied, equal 8,640.
I found the numbers 10, 4, and 216.
PLS HELP ASAP Cassandra earns $12. 98 an hour working at Key Food. How much money will she earn this month, if she works 36. 7 hours? Round the amount of time to the nearest hundredth.
8) WILL GIVE BRAINIEST TO BEST ANSWER
find the equations use to solve
Graphing!
Answer:
A: y= -1x+1
B: y= 1/3x-3
Step-by-step explanation:
slope intercept form
y=mx+b
urgentttt!!!! find the sum
Answer:
Step-by-step explanation:
4s2 + 19s + 7
————————
(s + 1)2 • (s + 3)
PLEASE PLEASE HELP ME WITH THIS I NEED ASAP THESE ARE TRUE OR FALSE QUESTIONS
Are the following statements true or false? (20 Points)
a. If the domain of a uniform continuous probability density function is 8.0
then its height is = 0.1684
b.
If the domain of a uniform continuous probability density function is 8.0
then P(14.0< X<26.0) = 0.6092
c.
All normal curves are symmetric and bell-shaped.
d.
By the Empirical Rule 99.7% of the area under a normal curve is within two
standard deviations of the mean.
I
e.
All uniform density functions are symmetric and bell-shaped.
f.
The Standard Normal curve has a mean of zero and a standard deviation of one.
0075
P
Answer:
ture,false,true,true,false,true
Step-by-step explanation:
it is very easy just read it carefuly and then add it up
Find the SURFACE AREA of the shape below.
Answer:
total surface area 84.72 m2
lateral surface area 68.44 m2
top surface area 8.14 m2
bottom surface area 8.14 m2
m2= squared btw
What's the equation of the line that passes through the points (–8,4) and (0,22)?
Answer:
c
Step-by-step explanation:
Please I really need help, and please don't try and play me becasue someone just put the wrong answer and juked 70 of my points :)
Answer:
[tex]113\° = \angle A[/tex]
Step-by-step explanation:
Given:
∠A = ∠B (Vertically opposite angles)∠A = 7x - 20∠B = 6x - 1If ∠A is equivalent to ∠B, then...
[tex]\implies 7x - 20 = 6x - 1[/tex]
Add 1 both sides:
[tex]\implies 7x - 20 + 1= 6x - 1 + 1[/tex]
Simplify both sides:
[tex]\implies 7x - 19= 6x[/tex]
Subtract 7x both sides:
[tex]\implies 7x- 7x - 19= 6x - 7x[/tex]
Simplify both sides:
[tex]\implies -19= -x[/tex]
Divide both sides by -1:
[tex]\implies \dfrac{-19}{-1} = \dfrac{-x}{-1}[/tex]
Simplify both sides:
[tex]\implies 19= x[/tex]
Substitute the value of x into "7x - 20" to determine ∠A:
[tex]\implies 7x - 20 = \angle A[/tex]
[tex]\implies 7(19) - 20 = \angle A[/tex]
Simplify the expression:
[tex]\implies 133 - 20 = \angle A[/tex]
[tex]\implies 113\° = \angle A[/tex]
Answer:
∠ A = 133
Step-by-step explanation:
Putting both angels together
Since,
m ∠ A = (7x-20)
m ∠ B = (6x-1)
Thus,
(7x-20) = (6x-1)
Solving for x:
7x - 20 = 6x -1
+20 +20
-------------------------
7x = 6x + 19
-6x -6x
-----------------------
1x = 19
x = 19
7(19) -20 = 113
6(19) - 1 = 113
Hence measure of m ∠ A = 113
~lenvy~
Peter and his four brothers combined all of their money to buy a video game. If 30% of the total money is Peter's, and $12.00 of the total money is Peter's, how much do all five brothers have combined?
Answer:
$20.00
Step-by-step explanation:
t represents the total amount
0.25t = 5.00
Can you solve for t and answer?
Or logically
Peter's $5.00 is 1/4 (25%) of the total.
Therefore 4/4 is $20.00
Answer:
$40.00
Step-by-step explanation:
Peter's $12.00 is 30% of the total money all the brothers had.
$12.00 divided by 30% (.30) = $40.00
To double check, multiply $40.00 total money X Peter's share of 30%
$40.00 X 30% (.3) = $12,00