For matrix g : \(\displaystyle g^{-1}=\frac{1}{\left| g \right|}\left[\begin{array}{ccc}6 & 1 & -3 \\ -8 & -3 & 2 \\ 3 & -1 & -3\end{array}\right] \)
For matrix h : \(\displaystyle h^{-1}=\frac{1}{\left| h \right|}\left[\begin{array}{ccc}1 & 0 & -1 \\ 1 & -1 & 1 \\ 0 & 1 & -1\end{array}\right] \)
For matrix g, the inverse can be found using the following equation:
\(\displaystyle g^{-1}=\frac{1}{\left| g \right|}\left[\begin{array}{ccc}6 & 1 & -3 \\ -8 & -3 & 2 \\ 3 & -1 & -3\end{array}\right] \)
For matrix h, the inverse can be found using the following equation:
\(\displaystyle h^{-1}=\frac{1}{\left| h \right|}\left[\begin{array}{ccc}1 & 0 & -1 \\ 1 & -1 & 1 \\ 0 & 1 & -1\end{array}\right] \)
Where \(\left| g \right|\) is the determinant of the matrix g and \(\left| h \right|\) is the determinant of the matrix h.
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a pair of pants usually sells at 500.00 during a sale , it is being sold at a 40% discount how much is the discount?how much will u pay for a pair of pants during the sale?
Math question 5 help
What is the product of (−2)(18)(−8)?
Pls do this
Answer:
288
Step-by-step explanation:
-2 x -8 =16
16 x 18 = 288
Answer:
288
is the answer
Step-by-step explanation:
please mark brainiest
estimate the product of 3.8 and 11.9 by rounding
The product or multiple of 3.8 and 11.9 by rounding off (simplification) is equal to 45.22.
What is simplification in mathematics?Simplification means keeping it simple. In mathematics, it simplifies or simplifies formulas/fractions/problems into simpler forms. Simplify the problem with calculations and solutions.
Simplification generally means finding answers to complex calculations involving division, multiplication, square roots, cube roots, plus and minus numbers.
Why do we use simplification?Simplicity complicates deadpan, making it easier to understand and solve. Here are some advantages of solving a problem or equation by simplification.
It helps you solve your problem in fewer steps. Complex problems can be reduced to simpler forms by following the rules of simplification
According to the question:
3.8×11.9 = (38/10)×(119/10)
= 4522/100
= 45.22
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The restrictions on x, when (x+4)/(5x-1) is divided by (3x+12)/(6x), can be written in the form x!
The restrictions on x are x = 1/5 and x = 0.
The restrictions on x, when (x+4)/(5x-1) is divided by (3x+12)/(6x), can be found by looking at the denominators of each fraction. The restrictions are values of x that would make the denominator equal to zero, which would make the fraction undefined.
For the first fraction, (x+4)/(5x-1), the restriction is when 5x - 1 = 0. Solving for x, we get:
5x = 1
x = 1/5
For the second fraction, (3x+12)/(6x), the restriction is when 6x = 0. Solving for x, we get:
x = 0
Therefore, the restrictions on x are x = 1/5 and x = 0. These values of x cannot be used in the original expression because they would make the denominator equal to zero and the expression undefined.
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Subtract. (7)/(12vx^(2))-(3)/(8v^(2)x) Simplify your answer as much as possible.
Subtracting the expression (3)/(8v²x) from the expression (7)/(12vx²) will result to the expression (14v - 9x)/(24v²x²).
To subtract the two fractions, we need to find a common denominator. The least common denominator (LCD) is the least common multiple of the denominators of two or more fractions, and it is used to find a common denominator so that we can perform operations on them. The LCD of 12vx² and 8v²x is 24v²x². We can then multiply each fraction by the LCD to get the same denominator and subtract the numerators.
(7)/(12vx²) x (24v²x²)/(24v²x²) - (3)/(8v²x) x (24v²x²)/(24v²x²) = (14v)/(24v²x²) - (9x)/(24v²x²) = (14v - 9x)/(24v²x²)
So the simplified answer is (14v - 9x)/(24v²x²).
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PLS HELP I NEED THIS DONE TODAY
Answer:
The answer is going to be 4r (2r + 3)
Some on pls answer a s a p i need help will give brainlist thingy
The sum of two number is 40. The larger number is 8 more than the smaller number. What are the numbers?
Answer:
16 + 24
Step-by-step explanation:
For each of the following, find the formula for an
exponential function that passes through the two points
given.
a. (0,4) and (2,64)
f(x)=?
b. (0,810) and (2,10)
g(x)=?
The formula for an exponential function that passes through the two points are
a. (0,4) and (2,64)
f(x)= 4(4ˣ)
b. (0,810) and (2,10)
g(x)=810(1/9)ˣ
The following is the formula for an exponential function that traverses two points:
f(x) = abˣ
Where a is the initial value and b is the growth rate.
To find the formula for an exponential function that passes through the two points given, we can plug in the values of x and y into the formula and solve for a and b.
For the first set of points, (0,4) and (2,64), we can plug in the values of x and y into the formula and solve for a and b:
4 = ab⁰
64 = ab²
Simplifying the first equation gives us:
a = 4
Substituting this value of a into the second equation gives us:
64 = 4b²
Solving for b gives us:
b = √(64/4) = 4
Therefore, the formula for the exponential function that passes through the two points (0,4) and (2,64) is:
f(x) = 4(4ˣ)
For the second set of points, (0,810) and (2,10), we can plug in the values of x and y into the formula and solve for a and b:
810 = ab⁰
10 = ab²
Simplifying the first equation gives us:
a = 810
Substituting this value of a into the second equation gives us:
10 = 810b²
Solving for b gives us:
b = √(10/810) = 1/9
Therefore, the formula for the exponential function that passes through the two points (0,810) and (2,10) is:
g(x) = 810(1/9)ˣ
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HELP!!!!!!!!!!!!!!!!!!!!
The value of m and n is 5√2 and 5 respectively.
What is Pythagoras' theorem?The hypotenuse side of a right-angled triangle's square is equal to the sum of the squares of its other two sides, according to Pythagoras' Theorem.
A right-angled triangle.
A 45° angle is found in a triangle.
The triangle is therefore a right-angled isosceles triangle.
Hence, n = 5.
To find m:
Apply Pythagoras' theorem,
m = √{n² + 5²}
m = √(25 + 25)
m = √50
m = 5√2
Therefore, m = 5√2.
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The table for the quadratic functions f(x) and g(x) are given.
x f(x) g(x)
−6 36 4
−3 9 1
0 0 0
3 9 1
6 36 4
Determine the type of transformation and the value of k.
1. g(x) = 3f(x)
2. g(x) = f(3x)
3. g of x equals one third times f of x
4. g of x equals f of one third times x
The value of k is 1, which is the value of g(x) (and f(x)) when x = -3 or x = 3.
We can determine the type of transformation and the value of k for each of the aforementioned functions using the tables provided for f(x) and g(x).
g(x) = 3f(x) (x)
Here, there occurs a vertical stretch/compression transformation. The function g(x) is a three-fold vertical expansion or contraction of f(x). G(x) has a value of 4, which is identical to the value of k, whether x = -6 or = 6.
g(x) = f(3x) (3x)
Here, there occurs a horizontal stretch/compression transformation. A horizontal stretch or compression of f(x) by a factor of 1/3 results in the function g(x). When x = -3 or x = 3, the value of k is 1, which is also the value of g(x) and f(x).
g(x) = (1/3)f(x) (x)
Here, there occurs a vertical stretch/compression transformation. A vertical stretch or compression of f(x) by a factor of 1/3 results in the function g(x). G(x) has a value of 4, which is identical to the value of k, whether x = -6 or = 6.
g(x) = f(x/3)
Here, there occurs a horizontal stretch/compression transformation. The function g(x) is a three-fold horizontal stretching or compression of f(x). When x = -3 or x = 3, the value of k is 1, which is also the value of g(x) and f(x).
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The steepest road in the world is Canton Avenue in Pittsburgh, Pennsylvania, with a grade of 37%. Grade is defined as the amount of vertical rise (in ft) over 100 ft of horizontal distance (so a road that rises 6 ft over 100 ft of horizontal distance is 6 100 = .06 = 6%). If the 37% grade of Canton Avenue goes for 21 ft of horizontal distance, how much does it rise? What angle does this grade make with the ground?
The steepest road in the world, Canton Avenue in Pittsburgh, Pennsylvania, has a grade of 37%. This means that for every 100 ft of horizontal distance, the road rises 37 ft. To find out how much the road rises for 21 ft of horizontal distance, we can use the formula:
rise = grade × distance
Plugging in the values we have:
rise = 0.37 × 21
rise = 7.77 ft
Therefore, the road rises 7.77 ft for 21 ft of horizontal distance.
To find the angle that this grade makes with the ground, we can use the formula:
tan θ = rise ÷ distance
Plugging in the values we have:
tan θ = 7.77 ÷ 21
tan θ = 0.37
θ = tan^-1(0.37)
θ = 20.3°
Therefore, the grade of Canton Avenue makes an angle of 20.3° with the ground.
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If the constant of variation is 12 and y = 36 and they vary directly, what does x equal?
If the constant of variation is 12 and y = 36 and they vary directly, then x equals 3.
Direct variation is when two quantities, x and y, are related in such a way that the ratio of their values is always the same. This means that y = kx, where k is the constant of variation.
In this case, we are given that k = 12 and y = 36. We can plug these values into the equation to find x:
36 = 12x
To solve for x, we can divide both sides of the equation by 12:
36/12 = 12x/12
This simplifies to:
3 = x
Therefore, x equals 3.
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An architect is designing a covered bridge to be placed over a ravine. In the diagram BF and BG represent the sides of the ravina, FIG represents the road surface of the bridge, and AC represents the of covering the bridge. Would these
urements ensure the roof is parallel to the road of the bridge? Explain
Therefore, it would be necessary to take the measurements in a manner that would guarantee that these requirements are met.
what is parallel ?Two or more lines, dotted lines, or planes that remain the same distance apart and never cross, even if they are extended indefinitely in both directions, are referred to as parallel in mathematics. The sign "||" stands for parallel lines. There are many significant characteristics of parallel lines. The fact that a transversal line—a line that crosses two or more parallel lines—always forms equal angles is among the most significant.
given
If two lines are drawn, one from the highest spot on the roof to the surface and the other from the lowest point, they must be parallel to one another. Those lines must also be parallel to one another if we sketch one from the leftmost point on the roof to the surface and another from the rightmost point on the roof to the surface.
Therefore, it would be necessary to take the measurements in a manner that would guarantee that these requirements are met.
To ensure that the measurements are precise and that the roof is built at the right angle to be parallel to the road, this may require using a level or other instruments.
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HELP PLEASE THIS IS SOO HAARD!!!!!!!!
If a car is going at 75 mph, how far would you get in one hour?
Answer: 75
Step-by-step explanation:
MPH stands for Miles per hour
So the car drives 75 miles per hour
Can some one help me with dis math
Answer:
Step-by-step explanation:
c
Answer:E
Step-by-step explanation:
solve this
please i need help with this
Answer:
45
Step-by-step explanation:
You want the area of triangle RST using the area formula A=1/2bh, given the points R(-2, 7), S(-5, 1), and T(7, -5).
Side lengthsA plot of the points is shown in the first attachment. By counting grid squares, you can see that segment RS has a "rise" of 2 grid squares for each 1 to the right. The total (run, rise) is ...
R -S = (-2, 7) -(-5, 1) = (-2 +5, 7 -1) = (3, 6)
The length of RS is found using the Pythagorean theorem (distance formula). It is ...
RS = √(3² +6²) = √45 = 3√5
Similarly the length of segment ST is ...
T -S = (7, -5) -(-5, 1) = (7 +5, -5 -1) = (12, -6)
ST = √(12² +(-6)²) = √180 = 6√5
SlopesWe note that the slopes of these segments are opposite inverses of each other:
slope RS = 6/3 = 2
slope ST = -6/12 = -1/2
This means the segments are at right angles. One of them can be considered to be the "base" and the other the "height" of the triangle.
AreaUsing the area formula, we find the area to be ...
A = 1/2bh
A = 1/2(6√5)(3√5) = (1/2·6·3)(√(5·5)) = 9·5 = 45
The area of ∆RST is 45 square units.
__
Alternate solution
When the coordinates of a polygon are given, there are several other ways to find its area. One of these is illustrated in the second attachment.
The method illustrated here computes successive "determinants", then finds the area as half the absolute value of their sum. (The sign of the sum will depend on the order in which the points are listed around the figure. Here, it is counterclockwise.) As you can see, we get the same result. You can also see that a spreadsheet is useful for doing the repetitive math.
Area ∆RST = 45 square units
__
Additional comment
The distance formula for the length of the segment between two points is ...
d = √((x2-x1)² +(y2-y1)²)
Above, we calculated the differences (x2-x1, y2-y1) separately, then used the "root sum squares" formula for the distance. This has the advantage that (y2-y1)/(x2-x1) is the slope of the segment, and we needed to make sure the segments were perpendicular.
Calculate the expected value of the scenario.
xi P(xi)
11 0.24
22 0.31
33 0.01
44 0.15
55 0.29
The expected value of this scenario is 4.19.
The Expected value (EV), which is based on a random variable's probability distribution, describes the long-term average level of that variable. The expected value of a stock or other investment is a crucial factor in investing and is taken into account while performing scenario analysis.
To calculate the expected value, we need to multiply each outcome xi by its respective probability P(xi), and then add up all of these products. So, we have:
Expected value = 1(0.24) + 2(0.22) + 3(0.31) + 4(0.01) + 5(0.16) + 6(0.29)
Expected value = 0.24 + 0.44 + 0.93 + 0.04 + 0.80 + 1.74
Expected value = 4.19
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Fill in the blank so that the ordered pair is a solution of y=22−9x
.
One possible ordered pair that is a solution of the equation y = 22 - 9x is (2, 4).
What is an ordered pair, and how can we find solutions of a linear equation?
An ordered pair is a pair of numbers (x, y) that represents a point on a coordinate plane. In algebra, we often use ordered pairs to represent solutions of equations, where the x-coordinate represents a variable and the y-coordinate represents the corresponding value of the expression.
To find solutions of a linear equation, we can substitute different values of the variable into the equation and solve for the corresponding values of the expression.
Find the ordered pair:
We are given the equation y = 22 - 9x, and we want to find an ordered pair that is a solution of the equation. To do this, we can choose a value of x and then use the equation to find the corresponding value of y.
Let's choose x = 2. Then, we can substitute x = 2 into the equation and solve for y:
y = 22 - 9(2)
y = 22 - 18
y = 4
Therefore, when x = 2, y = 4, which means the ordered pair (2, 4) is a solution of the equation.
We could also check this by graphing the equation and verifying that the point (2, 4) lies on the line represented by the equation.
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Given the linear equation of y=8, comparing to the equation of
the straight line, what is c?
A. 0
B. 1
C. 8
D. Cannot be calculated
The value of c is 8 (option C).
Determine he value of cTo find the value of c in a linear equation, we can compare the given equation to the standard form of a linear equation, which is y = mx + c.
In this case, the given equation is y = 8. If we compare this to the standard form, we can see that m (the slope) is 0 and c (the y-intercept) is 8.
Therefore, the value of c is 8.
So, the correct answer is C. 8
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Caleb needs to place a ground cover
under a tent. The floor of the tent measures 82 feet by 92 feet.
He purchases a ground cover that states that it covers 90 square
feet. Will the ground cover be able to be used under the tent?
Explain your reasoning.
One cover is not enough to cover tent, Caleb will need at least 84 ground covers to cover the entire floor of the tent.
How to find the Cover area of the tent?To determine if the ground cover will be sufficient, we need to calculate the area of the tent floor and compare it with the area covered by the ground cover.
The area of the tent floor is:
82 feet x 92 feet = 7544 square feet
The area covered by one ground cover is:
90 square feet
To determine the number of ground covers needed to cover the tent floor, we can divide the area of the tent floor by the area covered by each ground cover:
7544 square feet ÷ 90 square feet ≈ 84
Therefore, Caleb will need at least 84 ground covers to cover the entire floor of the tent. As the number of ground covers required is greater than one, we can conclude that the ground cover will be able to be used under the tent.
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Someone please help me with this I got 0 clue what I'm doing with it
Answer:
3rd choice down
f(x) = -1/2x + 8
Step-by-step explanation:
find the slope of the line using the 2 given points:
slope = m = (8-14) / (0--12) = -6/12 = -1/2
read the y intercept right off the graph at point (0,8):
b = 8
f(x) = mx + b = -1/2x + 8
Let l, m, and n be three lines; if n Im and m ll then 1 || n. Let l, m, and n be three lines; if I || m and m || n then 1 || n. Let k, l, m, and n be four lines; if k 11,11 m and m In then k \ n.
This property can be applied to any number of lines as long as they are all parallel to the same line.
The statement "if n I| m and m ll then 1 || n" is not valid as the symbols used are not correct. The correct statement should be "if l || m and m || n then l || n". This means that if line l is parallel to line m and line m is parallel to line n, then line l is also parallel to line n. This is known as the transitive property of parallel lines.
Similarly, the statement "if k 11,11 m and m In then k \ n" is not valid as the symbols used are not correct. The correct statement should be "if k || l, l || m, and m || n then k || n". This means that if line k is parallel to line l, line l is parallel to line m, and line m is parallel to line n, then line k is also parallel to line n. This is also an application of the transitive property of parallel lines.
In conclusion, the transitive property of parallel lines states that if two lines are parallel to the same line, then they are also parallel to each other. This property can be applied to any number of lines as long as they are all parallel to the same line.
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the product (2x^(4)y)(3x^(5)y^(8))is equivalent towhat polynomial must be added to x^(2)-2x+6 so that the sum is 3x^(2)+7x
The polynomial that must be added to x^(2)-2x+6 is 2x^(2) + 9x - 6.
To find the product of the two polynomials (2x^(4)y)(3x^(5)y^(8)), we need to use the distributive property and combine like terms.
The distributive property states that a(b+c) = ab+ac. So, we can distribute the first polynomial to each term in the second polynomial:
(2x^(4)y)(3x^(5)y^(8)) = (2x^(4)y)(3x^(5)) + (2x^(4)y)(y^(8))
Next, we can combine like terms by adding the exponents of the variables:
= 6x^(4+5)y^(1+8)
= 6x^(9)y^(9)
So, the product of the two polynomials is 6x^(9)y^(9).
To find the polynomial that must be added to x^(2)-2x+6 so that the sum is 3x^(2)+7x, we can set up an equation:
x^(2)-2x+6 + (a+bx+cx^(2)) = 3x^(2)+7x
Then, we can rearrange the equation to solve for the polynomial:
a+bx+cx^(2) = 3x^(2)+7x - x^(2) + 2x - 6
a+bx+cx^(2) = 2x^(2) + 9x - 6
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A, B & C form the vertices of a triangle. ∠ CAB = 90°, ∠ ABC = 49° and AB = 8. 9. Calculate the length of AC rounded to 3 SF
Answer:
/AC/=10.2
Mark as brainliest
0.12x= 1 I need help on this please
Answer:
x=8.3 recurring
Step-by-step explanation:
1÷0.12=8.3 recurring
x=8.3 recurring
or as a fraction 8 1/3
(a)Let Q be the quotient of the ring R=Z*Z by the ideal I= 2Z*2Z.
What is Q four elements?
(b) Use the Fundamental Homomorphism Theorem to show Q is
equivalent to Z2*Z2?
By the Fundamental Homomorphism Theorem, Q is isomorphic to Z2*Z2.
a) Q is the quotient ring R/I, which has four elements: [0]_I, [1]_I, [2]_I, and [3]_I. Here, [x]_I is the equivalence class of x in R/I.
b) Using the Fundamental Homomorphism Theorem, we can show that Q is equivalent to Z2*Z2. Since I is a normal subring of R, the quotient ring Q can be written as Q = R/I. Then the homomorphism defined by φ: R → Z2*Z2, where φ(r) = (r mod 2, r mod 2) is onto and I is the kernel of φ. Thus, by the Fundamental Homomorphism Theorem, Q is isomorphic to Z2*Z2.
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The solids are similar. Find the missing dimension.
d
12ft.
8in.
3ft.
Answer:
32 in
Step-by-step explanation:
You want the missing diameter of the smaller of two similar cylinders, where the larger is 12 ft in diameter and 3 ft high, while the smaller is 8 inches high.
Similar figuresThe linear dimensions of similar figures have the same ratio.
The ratio of the diameter to the height of the larger figure is ...
(12 ft)/(3 ft) = 4
The smaller figure will also have a diameter that is 4 times the height:
d = 4 × 8 in = 32 in
The missing dimension is 32 inches.
Solve each system of equations by substitution. Clearly identify your solution.
y=3x+19
y=5x+33
Answer:
(x, y) = (-7, -2).
Step-by-step explanation:
To solve the system of equations:
y = 3x + 19
y = 5x + 33
We can use the substitution method, which involves solving one equation for one variable and substituting that expression into the other equation. Then we can solve for the remaining variable.
From the first equation, we can solve for y in terms of x:
y = 3x + 19
From the second equation, we can solve for y in terms of x:
y = 5x + 33
Now we can substitute the expression for y from the first equation into the second equation:
3x + 19 = 5x + 33
Simplifying this equation by subtracting 3x from both sides:
19 = 2x + 33
Subtracting 33 from both sides:
-14 = 2x
Dividing both sides by 2:
x = -7
Now that we have the value of x, we can substitute it back into either equation to find the value of y:
y = 3x + 19
y = 3(-7) + 19
y = -21 + 19
y = -2
The solution to the system of equations is (x, y) = (-7, -2).