Answer:
The answer is "[tex]\left[\begin{array}{c}7&-4&1&0\\\end{array}\right] , \left[\begin{array}{c}-6&2&0&1\\\end{array}\right][/tex]"
Step-by-step explanation:
Given value:
[tex]A= \left[\begin{array}{cccc}1&3&5&0\\0&1&4&-2\\\end{array}\right][/tex]
First you find the general Ax = 0 solution for the free variables.
[tex][A \ \ \ 0]= \left[\begin{array}{cccc}1&3&5&0\\0&1&4&-2\\\end{array}\right]\\\\ R_1\to R_1-3R_2\\\\= \left[\begin{array}{ccccc}1&0&-7&6&0\\0&1&4&-2&0\\\end{array}\right][/tex]
Its general solution is:
[tex]x_1 = 7x_3-6x_4,\ \ x_2=-4x_3+2x_4 \ \ with\ \ x_3, and \ x_4\ free. \ So,[/tex]
[tex]x=\left[\begin{array}{c}x_1&x_2&x_3&x_4\\\end{array}\right] = x_3\left[\begin{array}{c}7&-4&1&0\\\end{array}\right] + x_4\left[\begin{array}{c}-6&2&0&1\\\end{array}\right][/tex]
Null A is: [tex]{\left[\begin{array}{c}7&-4&1&0\\\end{array}\right] , \left[\begin{array}{c}-6&2&0&1\\\end{array}\right] }[/tex]
3x-1/5=x+1/3
what is x
Answer:
Exact form:4/15
decimal form: 0.26(6 is repeating)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
You have won the state lottery. There are two ways in which you can receive your prize. You can either have $1 million in cash now, or you can have $1.2 million that is paid out as follows: $300,000 now, $300,000 in one year’s time, $300,000 in two years’ time, and $300,000 in three years’ time. The interest rate is 20%. The present value of the payments over three years is:
Answer:
pv=z/(1+R)^N
Step-by-step explanation:
I hope this helps!!!
The present value of the payments over three years is $1600000.
Given that, the prize of lottery money is $1 million.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.
Now, P=$1,000,000, R=20% and T=3 years
So, S.I. = (1,000,000 × 20 × 3)/100
= 600000
Amount = 1,000,000+600000
= $1600000
Therefore, the present value of the payments over three years is $1600000.
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The length of a bridge is 1.5 cm.Whet is the actual length of the bridge in meters if the map is drawn at a scale of 1:40000
Answer:
800
Step-by-step explanation:
1:5 and 1:40000
40000/5 is 800
Actual length is 800.
Hope this helps :D
Which of the following expressions are equivalent to -1/2 ?
Answer:
there are no other expressions....
Step-by-step explanation:
A graphic designer worked 20 hours last week. Their hourly rate is 19.52 per hour. How much money did they make last week before taxes
Answer:
20 * 19.52 = 390.40
Thank you and please rate me as brainliest as it will help me to level up
Austin made 5 quarts of his special from-scratch cupcake mix. He was able to make 32 identical cupcakes using 3.5 quarts of his special mix. Austin would like to bake 20 more identical cupcakes to ice each cupcake in the likeness of a playing-card. Does he have enough left to create 20 additional cupcakes? Explain.
9514 1404 393
Answer:
no
Step-by-step explanation:
We can write a proportion to find how much mix is required to make 52 cupcakes.
quarts/cupcakes = 3.5/32 = x/52
Multiplying by 52, we find ...
x = 52(3.5/32) = 5.6875 . . . quarts needed for 52 cupcakes
This is more mix than Austin made. He does not have enough left for 20 more cupcakes.
9b²-1
factor completely
Answer:
(3b - 1)(3b + 1).
Step-by-step explanation:
Difference of 2 squares:
a^2 - b^2 = (a - b)(a + b) so here we have:
9b^2 - 1 = (3b - 1)(3b + 1).
Alonzo wrote the equation x=2+4y-5 solve for y
hi
if x= 2+4y-5 then x-2 +5 = 4y so y = (x-2+5) /4 = ( x+3) /4
conclusion y = (x+3)/4
Collateral can be beneficial for borrowers when applying for a loan by
a. offering lenders additional financial gain if borrowers defaults on their loans
b. lessening the total loan amount, making it easier for borrowers to be approved
C. giving lenders protection against financial loss and more reason to approve loans
d. demonstrating that borrowers have ownership of high-end goods and can obviously make their
loan payments
Please select the best answer from the choices provided.
A
B
C
D
When applying a loan, Collateral can be beneficial to the borrower because: (C). giving lenders protection against financial loss and more reason to approve loans
Meaning of Loan and collateralLoan is a form of debt incurred by an individual as a result of recieving money from an individual or organization that will repaid within a definite period.
collateral can be defined as any asset (example: car, house, land etc) that is offered by the borrower to the lender to secure a loan.
it is very important because the lender is secured that if you cant repay the loan he takes the asset.
In conclusion, when taking a loan, collateral is important.
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What is the inverse of function f?
f(x)=64x^3-1
The inverse function of f(x) is:
[tex]g(x) = \sqrt[3]{(x +1)/64}[/tex]
How to find the inverse function?
Here we have the function:
[tex]f(x) = 64*x^3 -1[/tex]
We want to find the inverse, we will say that is of the form:
[tex]g(x) = \sqrt[3]{a*x + b}[/tex]
If we evaluate f(x) on g(x), we get:
[tex]f(g(x)) = 64*(\sqrt[3]{ax + b})^3 - 1\\ \\f(g(x)) = 64*(ax + b) - 1[/tex]
If these are inverses, that must be equal to x:
[tex]64*(ax + b) - 1 = x\\\\64*a*x + 64*b - 1 = x\\[/tex]
Then:
64*a = 1
a = 1/64
64*b - 1 = 0
b = 1/64
So the inverse function is:
[tex]g(x) = \sqrt[3]{(x +1)/64}[/tex]
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Describe the set of points in space whose coordinates satisfy the given inequalities or combinations of equations and inequalities.
a. 1 x2 + y2 + z2 25
b. x2 + y2 + z2 s25, x 20
A. The solid ball of radius 5 centered at (0,0,0) with the sphere of radius 1 centered at (0,0,0) removed.
B. The sphere of radius 5 centered at (0,0,0) together with the solid ball of radius 1 centered at (0,0,0).
C. The solid ball of radius 5 centered at (0,0,0) with the interior of the solid ball of radius 1 centered at (0,0,0) removed.
D. The sphere of radius 5 centered at (0,0,0) together with the sphere of radius 1 centered at (0,0,0).
The correct format of the question is
Describe the set of points in space whose coordinates satisfy the given inequalities or combinations of equations and inequalities.
a. [tex]1\leq x^2 + y^2 + z^2 \leq 25[/tex]
b. [tex]x^2 + y^2 + z^2 \leq 25, x \geq 0[/tex]
Answer:
(C).The solid ball of radius 5 centered at (0,0,0) with the interior of the solid ball of radius 1 centered at (0,0,0) removed.
Step-by-step explanation:
These are the equation of Spheres
In the equation [tex]1\leq x^2 + y^2 + z^2 \leq 25[/tex], when we will take square root of 25 we will get radius as 5 so the Sphere is varying from radius 1 to 5, Which will make it into a Solid sphere with the center at (0, 0, 0)
In the equation [tex]x^2 + y^2 + z^2 \leq 25, x \geq 0[/tex] it is given that the sphere is less than
radius 5 units.
Also there will be no sphere with radius from 0 to 1 because the sphere is starting from radius 1 and increasing till radius 5.
Therefore, The sphere is a solid increasing from radius 1 to 5.
and another solid sphere is removed from inside with radius increasing from 0 to 1.
What is the area of the shaded triangle inside the square? Round your answer to the nearest square inch.
A triangle has a base of 16 inches and a height of 16 inches.
_____ in²
Answer:
I believe the answer is the triangle has an area of 256 inches. I may be wrong though.
Step-by-step explanation:
Answer:
128 in² but only type 128 to complete the answer
Step-by-step explanation:
If (4,-3) is the midpoint of the line segment ST and the coordinates of S are (1,5), find the
coordinates of T.
Answer:
[tex](7,-11)[/tex]
Step-by-step explanation:
Given
[tex]S = (1,5)[/tex]
[tex]M = (4,-3)[/tex]
Required
Determine the coordinates of T
Midpoint is calculated as:
[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]
Where:
[tex](x,y) = (4,-3)[/tex]
[tex](x_1,y_1) = (1,5)[/tex]
Substitute these values in the above formula:
[tex](4,-3) = \frac{1}{2}(1 + x_2,5+y_2)[/tex]
Multiply through by 2
[tex]2 * (4,-3) = 2 * \frac{1}{2}(1 + x_2,5+y_2)[/tex]
[tex](8,-6) = (1 + x_2,5+y_2)[/tex]
By direct comparison:
[tex]1 + x_2 = 8[/tex] and [tex]5 + y_2 = -6[/tex]
Solving for x2
[tex]1 + x_2 = 8[/tex]
[tex]x_2 = 8 - 1[/tex]
[tex]x_2 = 7[/tex]
Solving for y2
[tex]5 + y_2 = -6[/tex]
[tex]y_2 = -6 - 5[/tex]
[tex]y_2 = -11[/tex]
Hence, the coordinates of T is: [tex](7,-11)[/tex]
How much simple interest would x dollars earn in 13 months at a rate of r percent?
Select the correct answer.
Select the lightest weight.
1 750 g
I 0.7 kg
7.5 kg
705
g
7.05 kg
Answer:
1 750 g
Step-by-step explanation:
hhhahahahahahahaha
Raul makes aluminum poles in the shape of rectangular prisms. If he removes the covers on both
ends, he can lower his cost per pole. How much aluminum in square feet will Raul save per pole if he
chooses to remove the covers at the ends of the poles? Use the given figures.
Step-by-step explanation:
2feet
feet
feet
feet
feet
feet
feet
2
2
2
2
2
2
Which angle measurements can form triangle ABC? Select all that apply.
m∠A = 40°, m∠B = 75°, m∠C = 65°
m∠A = 136°, m∠B = 28°, m∠C = 16°
m∠A = 57°, m∠B = 58°, m∠C = 63°
m∠A = 90°, m∠B = 35°, m∠C = 35°
m∠A = 60°, m∠B = 60°, m∠C = 60°
Answer:
A) m∠A = 40°, m∠B = 75°, m∠C = 65°
B) m∠A = 136°, m∠B = 28°, m∠C = 16°
E) m∠A = 60°, m∠B = 60°, m∠C = 60°
Step-by-step explanation:
edge
The angle measurements that can form triangle ABC are
m∠A = 40°, m∠B = 75°, m∠C = 65°m∠A = 136°, m∠B = 28°, m∠C = 16°m∠A = 60°, m∠B = 60°, m∠C = 60°How to determine the angle measurements?The angle measurements that can form a triangle must add up to 180 degrees.
i.e. a + b + c = 180
Using the above formula, we have:
40 + 75 + 65 = 180
136 + 28 + 16 = 180
60 + 60 + 60 = 180
Other angles do not add up to 180.
Hence, the angle measurements that can form triangle ABC are
m∠A = 40°, m∠B = 75°, m∠C = 65°m∠A = 136°, m∠B = 28°, m∠C = 16°m∠A = 60°, m∠B = 60°, m∠C = 60°Read more about triangles at:
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(02.02)
A rotation is shown in the drawing
Figure
Figure K
Which statement best describes the rotation? (4 points)
Clockwise 90-degree rotation
Clockwise 180-degree rotation
Counterclockwise 90-degree rotation
Counterclockwise 180-degree rotation
clockwise 180 degree rotation
A carnival charges $5 to get in, plus $2 per ride. Which equation represents the relationship between the number of carnival rides a person rides x and the cost of attending the carnival y.
x= 2x+5
y= 2x-5
y= 2x+5
y= 5-2x
Answer: y= 2x+5
Step-by-step explanation:
Which transformations could have taken place to
map AABC to AA"B"C"?
O a reflection and a dilation
O a rotation and a dilation
O a translation and a dilation
O a reflection and a translation
Answer:
a dilation and translation
Step-by-step explanation:
we know its a dilation because the lines of congruency are in the same area but the triangles are of different sizes
we know it's a translation because the triangles are in two different places instead of having something overlap
Wich expression uses the commutative property to make it easier to evaluate 3/5÷1/4÷25 A 3/5 ÷ 25 ÷1/4 B 25÷4÷3/5 C 5/3 ÷25 ÷1/4 D 3/5 ÷ 1/25 ÷1/4
Answer:
A
Step-by-step explanation:
An elevator is on Level 3, which is 45.25 meters
above the ground. It travels to the basement
level, which is 10.42 meters underground.
What is the total distance, in meters, that the
elevator traveled?
Enter your answer as a decimal in the box.
Answer:
55.67 m
Step-by-step explanation:
You just add the two numbers to get the total distance traveled.
I need help help me please
Answer:
The answer is line A
Step-by-step explanation:
It is Because try putting 0 in th eeqaution you will get 1 on LHS
Answer:
Line A
Step-by-step explanation:
The given function can also be seen as the equation of the line in slope-intercept form:
[tex]y=mx+b[/tex]
Where:
m is the slopeb is the y-interceptx and y are corresponding coordinate points that lie on the line (x,y)Since all the lines are parallel, they all have the same slope. All we need to do is find the one that has a y-intercept of 1. The y-intercept is where x=0.
Line A: [tex]b=1[/tex]
Line B: [tex]b=0[/tex]
Line C: [tex]b=-1[/tex]
Line D: [tex]b=-4[/tex]
The only line with a y-intercept is Line A.
:Done
To move a function, you need to ____ it.
А. flip
B. shift
C. stretch
D. compress
Answer:
Compress it
Step-by-step explanation:
I might be wrong, but I think this is the answer.
Cheers! :)
Answer:
C. Stretch it
Step-by-step explanation.
The following table shows the distance from school as a function of time:
Time (in minutes)
x Distance (in meters)
f(x)
0 36
3 32
6 28
9 24
12 20
Find and interpret the meaning of the x‐intercept in this scenario.
(36, 0); the distance away from the school
(27, 0); the time it takes to reach the school
(36, 0); the time it takes to reach the school
(27, 0); the distance away from the school
Answer:
c
Step-by-step explanation:
It shows that The x intercept values are under the time label
Answer:
C
Step-by-step explanation:
how many squares do I have to draw in(10 x 10 grid) for the percentage of 57.74%??
Answer:
There is obviously only 1 10x10 square. If we start with a 9x9 square in the top left corner, we can move it down 1, across 1 and back up 1, so there are 4 possible 9x9 squares.
For 8x8 we can move down 1, then 2 and we can move across 1 or 2 so that's 9 possible 8x8 squares.
For 7x7 we can go down 3 and across 3, so that's 4x4=16 possible squares.
The pattern is now clear the total number if squares is 1+4+9+16+…+100.
There's a formula for this, which I had to look up, but any the sum of the first n squared is 1/6n(n+1)(2n+1)1/6n(n+1)(2n+1), so the total number of squares is 10x11x21/6=5x11x7=385.
A baby carriage that is carrying twins is sitting at the top of a knoll that is 21 m high. The carriage with the babies are 48kg. What is the Potential Energy of the twins and the carriage?
Answer:
The Potential Energy of the twins and the carriage is 9878.4 J.
Step-by-step explanation:
Given;
height of the knoll above the ground level, h = 21 m
mass of the carriage with the babies, m = 48 kg
The potential Energy of the twins and the carriage is given by;
P.E = mgh
where;
g is the acceleration due to gravity = 9.8 m/s²
Substitute the givens;
P.E = (48)(9.8)(21)
P.E = 9878.4 J
Therefore, the Potential Energy of the twins and the carriage is 9878.4 J.
What is "a" if B=
is a singular matrix
| 2
2 a
Answer:
The value of a=4
Step-by-step explanation:
Given the matrix
[tex]B=\begin{pmatrix}1\:&\:2\:\\ \:\:\:2\:&\:a\end{pmatrix}[/tex]
A matrix is singular if its determinent is zero.
so solving the matrix B by taking its determinant to get the value a
[tex]\det \begin{pmatrix}1&2\\ 2&a\end{pmatrix}=0[/tex]
as according to determinant formula
[tex]\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\:=\:ad-bc[/tex]
[tex]1\cdot \:a-2\cdot \:2=0[/tex]
[tex]a-4=0[/tex]
[tex]a=4[/tex]
Therefore, the value of a=4
Trump or Biden.
I'm curious. Please no fightin and i'll make brainlest
Answer:
Biden
Step-by-step explanation: Well I mean Trump done many racist, and mess up stuff so my only choice would be Biden and well hopefully he doesnt do the same thing as Trump
Please I need Help!!!!
Answer:
$1.19
Step-by-step explanation:
$2.38/2 weeks