Answer:
7
Step-by-step explanation:
25) 3 NaHCO3
Na
H = C =_0 =
5sinA=4, find the value of tanA.
Answer: tan A=4/3
Step-by-step explanation:
Theo đề ta có: 5sinA=4 suy ra: sinA=4/5, mà ta đã biết là: sinA= cạnh đối/cạnh huyền, suy ra: cạnh đối của góc A =4, cạnh huyền =5
Áp dụng định lí py ta go ta đc:
5^2=4^2+x^2
=) x=3
Vậy cạnh kề của góc A=3
Mà tanA = cạnh đối/cạnh kề
Vậy giá trị của tanA=4/3
(bạn vẽ hình ra thì có thể nhìn rõ hơn đấy, cảm ơn bạn đã tham khảo câu trả lời của mik)
a rectangle has a perimeter of 128 inches. the length is four less than twice the width. what is the length of the rectangle?
The length of the rectangle is approximately 41.34 inches.
Let's assume the width of the rectangle is represented by the variable w. According to the given information, the length of the rectangle is four less than twice the width, which can be expressed as 2w - 4.
The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 128 inches. Since a rectangle has two pairs of equal sides, we can set up the equation:
2w + 2(2w - 4) = 128.
Simplifying the equation, we get:
2w + 4w - 8 = 128,
6w - 8 = 128,
6w = 136,
w = 22.67.
So, the width of the rectangle is approximately 22.67 inches. To find the length, we can substitute this value back into the expression 2w - 4:
2(22.67) - 4 = 41.34.
Therefore, the length of the rectangle is approximately 41.34 inches.
In summary, the length of the rectangle is approximately 41.34 inches. This is determined by setting up a system of equations based on the given information: the perimeter of the rectangle being 128 inches and the length being four less than twice the width.
By solving the system of equations, we find that the width is approximately 22.67 inches, and substituting this value back, we obtain the length of approximately 41.34 inches.
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Write two polynomial functions whose quotient will be the same degree as the divisor?
Answer:
\(f(x) = 15x^2 -14x - 8\)
\(g(x) = 5x + 2\)
Step-by-step explanation:
Represent the two polynomials with f(x) and g(x)
The question requires that we assume values for f(x) and g(x) as long as the condition in the question is met;
Let
\(f(x) = 15x^2 -14x - 8\)
\(g(x) = 5x + 2\)
To determine if the condition is met, we need to divide f(x) by g(x)
\(\frac{f(x)}{g(x)} = \frac{15x^2 -14x - 8}{5x + 2}\)
Factorize the numerator
\(\frac{f(x)}{g(x)} = \frac{15x^2 - 20x + 6x - 8}{5x + 2}\)
\(\frac{f(x)}{g(x)} = \frac{(5x + 2)(3x - 4)}{5x + 2}\)
Cross out 5x + 2
\(\frac{f(x)}{g(x)} = 3x - 4\)
The result is referred to as quotient, Q
\(Q = 3x - 4\)
Note that Q and g(x) have the same degree of 1
3) (2 Marks) Find the range and codomain of the matrix transformation T A
, where A= \( {\left[\begin{array}{cc}1 & 2 \\ 1 & -2 \\ 0 & 1\end{array}\right] \). Is the result true if the functions are not linear? Justify your \( } \) answer.
T A can be seen as a linear transformation from R^2 to R^3.
To find the range and codomain of the matrix transformation T A, we need to first determine the matrix T A . The matrix T A is obtained by multiplying the input vector x by A:
T A (x) = A x
Therefore, T A can be seen as a linear transformation from R^2 to R^3.
To determine the range of T A , we need to find all possible outputs of T A (x) for all possible inputs x. Since T A is a linear transformation, its range is simply the span of the columns of A. Therefore, we can find the range by computing the reduced row echelon form of A and finding the pivot columns:
A = (\left[\begin{array}{cc}1 & 2 \ 1 & -2 \ 0 & 1\end{array}\right]) ~ (\left[\begin{array}{cc}1 & 0 \ 0 & 1 \ 0 & 0\end{array}\right])
The pivot columns are the first two columns of the identity matrix, so the range of T A is spanned by the first two columns of A. Therefore, the range of T A is the plane in R^3 spanned by the vectors [1, 1, 0] and [2, -2, 1].
To find the codomain of T A , we need to determine the dimension of the space that T A maps to. Since T A is a linear transformation from R^2 to R^3, its codomain is R^3.
If the functions were not linear, it would not make sense to talk about their range or codomain in this way. The concepts of range and codomain are meaningful only for linear transformations.
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anyone know this? brainliest
Answer: D
Step-by-step explanation: The expression can't be factored since there is no such thing as sum of squares. When two squares are being added, you usually can't factor them.
For 2, the answer is D
For 3, the answer is B
For 4, the answer is D
For 5, the answer is B
Identify a transformation of the function f(x) = (x by observing the equation
of the function g(x) = VX- 19.
Answer:
1st option
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here g(x) = \(\sqrt{x}\) - 19
The base graph f(x) has been shifted down 19 units
The sum of two numbers is 40. One number is 12 more than the other. Find the numbers.
Hello! :)
\(\large\boxed{x = 14, 26}\)
Let one number be equal to x.
Since the other is 12 more, we can express this as x + 12.
Write an expression showing the sum of these two numbers equal to 40:
x + (x + 12) = 40
Combine like terms:
2x + 12 = 40
Subtract 12 from both sides:
2x = 28
Divide both sides by 2:
x = 14
This is the value of one of the numbers. Since the other number is "x + 12", we can solve for this value:
14 + 12 = 26.
The two numbers are 14 and 26.
Help please! No file attachments please, only write your answers in response to question.
Q8.
(a)
Work out the value of
(√2)^4
\(=\sqrt{2} *\sqrt{2} *\sqrt{2} *\sqrt{2} \\=(\sqrt{2} *\sqrt{2})(\sqrt{2} *\sqrt{2})\\=2*2\\=4\)
The answer is 4
The value of \((\sqrt2)^4\) is 4.
The number of times a number has been multiplied by itself is referred to as its exponent. The rules of multiplying exponents are of different types. The given equation can be calculated using the Power of a Power rule.
According to this rule, when a base has an exponent, and that entire term has an exponent, the exponents are multiplied together. This is written as
\((a^x)^y=a^{xy}\)
Here, both exponents are multiplied together.
Therefore, using the above rule the given square root with an exponent can be written as,
\(\begin{aligned}\left(\sqrt2\right)^4&=\left(2^{\frac{1}{2}\right)^4\\&=2^{\frac{1}{2}\times4}\\&=2^2\\&=4\end{aligned}\)
The value is 4.
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help please now please
it says “ find the solution of the system of equations” and this is elimination, the two equations are
-3x-7y=18
9x+2y=3
Answer:
(-13, -3)
Step-by-step explanation:
Elimination is used to get either the y or the x to cancel out in both equations. In this case, you'd have to multiply the first equation by -3, so it would be 9x + 21y = -54. Now that you did that, you can "subtract" the two equations. 9x - 9x = 0 (they cancel each other out). 21y - 2y = 19y. -54 - 3 = -57. Now that we're left with 19y = -57, let's find out what y is by solving out the equation. The answer would be y = -3. Now that we have this info, we can substitute the y in one of the two equations to find the x. I'm going to use the first equation. -3x - 7(-3) = 18 --> -3x + 21 = 18 --> -3x = 39. The result is x = -13. Therefore, the answer is (-13, -3).
Parallelogram JKLM is reflected across a horizontal line through its center and then translated down and to the left to produce parallelogram QTSR
K
110°
R
S
9 ft
70°
M 12 ft
L
T
m
What is true about the angles and side lengths of parallelogram QTSR?
Enter the correct answers in the boxes
Answer:
\(\huge\boxed{Q = 110 \textdegree, \ ST = 9 \ \text{ft}}\)
Step-by-step explanation:
When we reflect and transform a figure, the angle lengths nor the side lengths are touched. The side length only changes if we dilate or stretch the figure, and the angle length only changes if we stretch the figure.
Therefore, we know the information is going to be the exact same. We just have to figure out what corresponds to what from JKLM to QTSR.
If we reflect a figure across a horizontal reflection line through its center, the figure will just flip sides. M will be J, L will be K, etc.
When we translate this down, nothing changes except its position. So we can pretend these two shapes are right on top of each other for now.
When we move these right on top of each other, we can see that Angle J overlaps with Angle Q. Since they don't have any weird intersects, we know that angle J will be equal to Angle Q. Since we already know J is 110°, we know Q is also 110°.
When we move it on top, we also see that KL overlaps with ST perfectly. Since we know KL is 9, that must mean ST is also 9.
Hope this helped!
what is the slope of a line perpendicular to the line whose equation is x+4=28
The slope of a line perpendicular to the line is -4
The equation is x -4y = 28
The equation for the line is
y = mx + c
where m = slope
c = y-intercept
Here the equation is x - 4y = 28
4y = x - 28
y = x/4 - 7
So the slope of this line is 1/4
Now we have to find the slope of the line perpendicular to that line.
We know that,
m1 × m2 = -1
1/4 × m2 = -1
m2 = -4
Therefore the slope of the line perpendicular to the line is -4.
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The complete question is:
Find the slope of a line perpendicular to x-4y=28
Mr. Liaw's ceramic mug has a volume of 60, but a radius of 2 inches the ceramic mug?
Answer:
➡Heigth = 4.77in
Step-by-step explanation:
➡Volume = \(\pi × r^2\) × H
➡\(60 = 3.14 × 2^2 × H\)
➡\(60 = 3.14 × 4 × H\)
➡\(H = \frac{60}{3.14 × 4} \approx \bf 4.77in\)
I hope this helps!
Can some one help quickly. Please show work
Answer:
-20
Step-by-step explanation:
48 divided by -3 is -16 but you round up since its high enough and it goes to -20
Prove the identity.
TT
sin x +
2.
cotx
sin (-x)
Answer:
Hi... Do this for prove that
Answer:
Step-by-step explanation:
Simplify (evaluate):
3-3
Answer:
Its 0
Step-by-step explanation:
Hope this helps!
Which expression is equivalent to − 5/6 x − 1/5 + 3/4 x − 1/8 y − 2/3 ?
Answer:
i don't no that's why i download this
Answer:
Step-by- explanation:
4x(3y+1) and if u need it simplified x(12y+4)
find the area of one loop of r=cos(3 theta)
Step-by-step explanation:
integral from 0 to 2pi of cos3x
(sin3x)/3 from 0 to 2 pi
sin 6pi /3 - sin 0 /3 = 0
Let A be a diagonalizable matrix whose eigen values satisfy that A2 = A + 1. Then A satisfies A) A² = A +1 B) A² = A + 2 C) A² = A D) A² = A + 1
D) A^2 = A + 1 this equation represents diagonal matrices with the same eigenvalues on the diagonal.
Let λ be an eigenvalue of the matrix A, and let v be the corresponding eigenvector. Since A is diagonalizable, we can write A = PDP^(-1), where D is the diagonal matrix containing the eigenvalues on the diagonal, and P is the matrix whose columns are the eigenvectors.
We know that A^2 = A + 1, so we can substitute A with its diagonalizable form:
(PDP^(-1))^2 = PDP^(-1) + 1.
Expanding the square and applying the matrix multiplication rules, we get:
PD^2P^(-1) = PDP^(-1) + 1.
Since D is a diagonal matrix, D^2 will have the eigenvalues squared on the diagonal. Therefore, we have:
P(D^2)P^(-1) = PDP^(-1) + 1.
Multiplying both sides by P^(-1) on the right, and by P on the left, we obtain:
D^2 = D + 1.
This equation holds because P^(-1)P = I (the identity matrix), and D and D^2 are diagonal matrices with the same eigenvalues on the diagonal.
Therefore, the correct answer is D) A^2 = A + 1.
Learn more about eigenvalues
Can someone please help me I don’t get this
Answer:
D. x > -3 and x < 1
Step-by-step explanation:
There is an absolute value in this inequality, so we have to solve for 2 instances -- where the quantity in the absolute value is positive, and where it is negative.
First, we will isolate the absolute value by dividing by 3:
3|x + 1| < 6
|x + 1| < 2
Then, because this is a less-than case of the absolute value, we can put it in between the positive and negative absolute values of the other side:
-|2| < x + 1 < |2|
-2 < x + 1 < 2
and solve.
-3 < x < 1
(this can also be written as x > -3 and x < 1)
Please help me I don’t know this
Answer:
28 degrees
Step-by-step explanation:
68 = 2m + 12
56 = 2m
m = 28 degrees
You buy a loaf of bread for 1. 49 and a bottle of honey for 1. 99 how much will you spend in all?
Answer:
You are going to spend $3.48 in total.
Step-by-step explanation:
You need to add the two numbers together.
1.49+1.99=$3.48
You are going to spend $3.48 in total. (I'm assuming we aren't supposed to include tax)
Analyze the problem and complete the statements.
t-7 = 8
I know this problem is an
because it has an equals sign.
The t is the
The negative sign is the
The 7 and the 8 are both
Answer:
I know this problem is an
✔ equation
because it has an equals sign.
The t is the
✔ variable
.
The negative sign is the
✔ operation
.
The 7 and the 8 are both
✔ constants
.
Step-by-step explanation: i took the test :( crying cuz im bouta fail
3 trigonometric ratio
Answer:
B
Step-by-step explanation:
\(Tan \ A = \dfrac{Opposit \ side \ A}{Adjacent \ side \ of \ A}\\\\Tan \ A = \dfrac{16}{12}=\dfrac{4}{3}\)
a²-28=3a this has to be answed by factoring but idk how... help >_
Answer:
(a+4)(a-7)
Step-by-step explanation:
Bring 3a to the left and equate it to zero. Using the product sum method find 2 numbers, which give the product when multiplied and give the sum when added. Use them to factor out
Answer:
(a + 4)(a - 7)
Step-by-step explanation:
a^2 - 3a - 28
Factors of 28: 1, 2, 4, 7, 14, 28
4 - 7 = -3
(a + 4)(a - 7)
now to check:
(a • a) + (a • -7) + (4 • a) + (4 • -7)
(a^2) + (-7a) + (4a) + (-28)
a^2 - 7a + 4a - 28
a^2 - 3a - 28
Tom pays $528.90 for a computer in a sale. The original price had been reduced by 18%. Calculate the original price of the computer
Answer:
624.102
Step-by-step explanation:
pls give brainliest im new and need points
1- In Euclidean space, the locus of points equidistant from the origin of a plane is a circle What is the locus of points equidistant (in the spacetime distance seme) from the origin of a spacetime plane? 151 2. A ruler of length L. In at rest in with its left and at the origin. O moves from left to right with speed relative to o along the length of the ruler. The two origins coincide ut time zero for both, at which time a photon is emitted toward the other end of the rulut. What are the coordinates in Olof the event at which the photon maches the other end? (10) 3. The Earth and Alpha Centauri are 43 light years apart. Ignore their relative motion Events A and B occur att on Earth and at 1 year on Alpha Centauri, respectively. (a) What is the time difference between the events according to an observer moving at B - 0.98 from Earth to Alpha Centauri? (b) What is the time difference between the events according to an observer moving at 3 = 0.98 from Alpha Centauri to Earth? (c) What is the speed of a spacecraft that makes the trip from Alpha Centauri to Earth in 2.5 years according to the spacecraft clocks? (d) What is the trip time in the Earth rest frame? [5+5+5+51 + Plane polar coordinates are related to cartesian coordinates by x=rcos and y = rsin. Describe the transformation matrix that maps cartesian coordinates to polar coordinates, and write down the polar coordinate basis vectors in terms of the basis vectors of cartesian coordinates. [51 5- suppose that we are given a basis ei, es consisting of a pair of vectors making a 45° angle with one another, such that ei hus length 2 and ez has length 1. Find the dual basis vectors for the case of covariant components of the vectors. [101
1. In the context of spacetime, the locus of points equidistant from the origin of a spacetime plane is a hyperbola.
In Euclidean space, the distance between two points is given by the Pythagorean theorem, which only considers spatial dimensions. However, in spacetime, the concept of distance is extended to include both spatial and temporal components. The spacetime distance, also known as the interval, is given by the Minkowski metric:
ds^2 = -c^2*dt^2 + dx^2 + dy^2 + dz^2,
where c is the speed of light, dt represents the temporal component, and dx, dy, dz represent the spatial components.
To determine the locus of points equidistant from the origin, we need to find the set of points where the spacetime interval from the origin is constant. Setting ds^2 equal to a constant value, say k^2, we have:
-c^2*dt^2 + dx^2 + dy^2 + dz^2 = k^2.
If we focus on a spacetime plane where dy = dz = 0, the equation simplifies to:
-c^2*dt^2 + dx^2 = k^2.
This equation represents a hyperbola in the spacetime plane. It differs from a circle in Euclidean space due to the presence of the negative sign in front of the temporal component, which introduces a difference in the geometry.
Therefore, the locus of points equidistant from the origin in a spacetime plane is a hyperbola.
(Note: The explanation provided assumes a flat spacetime geometry described by the Minkowski metric. In the case of a curved spacetime, such as that described by general relativity, the shape of the locus of equidistant points would be more complex and depend on the specific curvature of spacetime.)
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help would be greatly appreciated:)
Answer:
I have no idea
Step-by-step explanation:
HOW DO I DO NUMBER 7 SOMEONE HELPP
Answer:
Hey there!
p(x)=7x+25
7x+25=60
7x=35
x=5
Let me know if this helps :)