I own the collector’s edition of my favorite Pokemon card. It used to be worth $120 USD. Now it is worth $150 USD.

What is the percent change?

Answer:

9)x=11 y=3

11)x=18 y=5

Step-by-step explanation:

9) 9x+25=13x+19                   13x-19+17y+5=180

   9x+44=13x                         129+17y=180

   44=4x                                 17y=51

   11=x                                     y=3

11) 49+3x=7x-23                    3x=11y-1

Answer:

Step-by-step explanation:

When your desired form is expanded, it becomes ...

  a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2

This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.

a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2

b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2

c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2

d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2

_____

Additional comment

If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.

Answer:

y = x - 3

Explanation:

take two points: (1, -2), (2, -1)

Find slope:

\(\boxed{\sf \frac{y_2 - y_1}{x_2 - x_1} }\) where (x1, y1), (x2, y2)

\(\sf \rightarrow \dfrac{-1-(-2)}{2-1}\)

\(\sf \rightarrow 1\)

Equation:

y - y1 = m(x -x1)

y - (-2) = 1(x-1)

y + 2 = x - 1

y = x - 3

Answer:

\(\huge \boxed{\bf{y = x - 3}}\)

Step-by-step explanation:

Given:-

Take two point:

To find:-

Ans:-

~Find slope in two point:

\(\sf \to m = \frac{y_2 - y_1}{x_2 - x_1} \)

\(\sf \to m = \frac{-1 - (-2)}{2 - 1} \)

\(\sf \to m = \frac{1}{1} \)

\(\sf \to m = 1 \)

\( \: \)

~Find equation:

\( \sf \to y - y_1 = m(x - x_1) \)

\( \sf \to y - (-2) = 1(x - 1) \)

\( \sf \to y + 2 = x - 1 \)

\( \sf \to y = x - 1 - 2 \)

\( \sf \to y = x - 3 \)

\( \: \)

\( \huge\colorbox{blue}{BlackPain} \)

Answer:

4.4

Step-by-step explanation:

we have the function

Find out the critical points

so

Find out the first derivative

Equate the first derivative to zero

the value of the tangent is positive

that means

the angle x lies on the I quadrant or III quadrant

but remember that the interval is [0, pi]

therefore

The angle x lies on the quadrant

Find out the second derivative

Evaluate the second derivative at x=0.2pi radians

The value of the second derivative is negative

so

The concavity is down

that means

Answer:

The given figure is:

a. Polyhedron

c. prism

d. solid

Step-by-step explanation:

First of all, let us consider the given image.

It is a 3 dimensional figure.

It has 2 equal bases which are pentagonal.

Its faces are made along the sides of the bases and are rectangular in shape.

Now, let us classify the given image in following:

a. Polyhedron:

A polyhedron is a 3-D (three dimensional) shape in which there are flat faces.

The faces can be of 'n' number of edges (Polygonal faces).

Its edges are straight, has sharp corners which are also known as vertices.

The given image is a polyhedron as per above definition.

b. Pyramid:

It is also a 3D shape which can have a polygonal base and its faces are triangular which converge on the top to one point.

The given image does not converge to a point on the top, so not a pyramid.

c. Prism:

It is a 3D shape which has it two bases as polygonal structure.

The two bases are equal in shape and size.

There are faces on the body of prism which are formed by joining the edges of the bases.

The given image is a prism with pentagonal bases.

d. Solid:

Any 3D image is called a solid and has a length, width and height.

So, the given image is a Solid.

e. Cube:

Cube is a 3D figure, which has all its faces in square shape.

All the sides are equal for a cube.

The given image is not a cube.

f. Polygon:

A polygon is a closed figure in 2 dimensions which has n number of sides.

The given image is not a polygon.

Answer: The given figure is:

a. Polyhedron

c. prism

d. solid

The given figure is a Polyhedron, prism and solid.

A polyhedron is a three-dimensional geometry having plane surfaces connected together with sharp edges and pointed vertices.

First of all, let us consider the given image. It is a 3-dimensional figure. It has 2 equal bases which are pentagonal. Its faces are made along the sides of the bases and are rectangular in shape.

Now, let us classify the given image in the following:

a. Polyhedron:

A polyhedron is a 3-D (three dimensional) shape in which there are flat faces. The faces can be of 'n' number of edges (Polygonal faces). Its edges are straight, has sharp corners which are also known as vertices. The given image is a polyhedron as per the above definition.

c. Prism:

It is a 3D shape which has it two bases as a polygonal structure.The two bases are equal in shape and size. There are faces on the body of prism which are formed by joining the edges of the bases. The given image is a prism with pentagonal bases.

d. Solid:

Any 3D image is called a solid and has a length, width and height. So, the given image is a Solid.

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The solutions to the system of congruences are x ≡ 17 (mod 210) and x ≡ 47 (mod 210).

To find all solutions to the system of congruences, we can use the Chinese remainder theorem construction. In this case, we have three congruences: x ≡ 1 (mod 7), x ≡ 2 (mod 5), and x ≡ 5 (mod 6).

Find the product of the moduli. In this case, the product is 7 * 5 * 6 = 210.

For each congruence, divide the product by the modulus and find the multiplicative inverse. Then multiply it by the residue and the quotient obtained from dividing the product by the modulus. Finally, sum up all the results.

For the first congruence, x ≡ 1 (mod 7), we divide 210 by 7 to get 30. The multiplicative inverse of 30 (mod 7) is 4, so we have 4 * 1 * 30 = 120.

For the second congruence, x ≡ 2 (mod 5), we divide 210 by 5 to get 42. The multiplicative inverse of 42 (mod 5) is 3, so we have 3 * 2 * 42 = 252.

For the third congruence, x ≡ 5 (mod 6), we divide 210 by 6 to get 35. The multiplicative inverse of 35 (mod 6) is 5, so we have 5 * 5 * 35 = 875.

Now, summing up all the results: 120 + 252 + 875 = 1247. To find the solutions within the range of the modulus (210), we take the result modulo 210.

x ≡ 1247 (mod 210) ≡ 17 (mod 210)

Therefore, one solution is x ≡ 17 (mod 210).

To find the second solution, we subtract the modulus (210) from the first solution:

x ≡ 17 - 210 ≡ -193 ≡ 47 (mod 210)

Therefore, the second solution is x ≡ 47 (mod 210).

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Answer:

A polynomial is an algebraic expression made up of two or more terms subtracted, added, or multiplied. A polynomial can contain coefficients, variables, exponents, constants, and operators such as addition and subtraction.

It is also important to note that, a polynomial can’t have fractional or negative exponents. Examples of polynomials are; 3y2 + 2x + 5, x3 + 2 x 2 − 9 x – 4, 10 x 3 + 5 x + y, 4x2 – 5x + 7) etc. Like number, polynomials can undergo addition, subtraction, multiplication, and division.

We saw addition, subtraction, multiplication, and long division of polynomials previously.

hope it helps make brainlliest ty

Answer:

−16,848

Step-by-step explanation:

firstly, evalute whatever is in the parentheses. [3.5 minus 56 equals "-32.5" then the next [-3.4+515 equals "518.4"

then multiply the two numbers: "-32.5 × 518.4"

−16,848 is the answer.. its definitely a weird question.

No, the plan will not work because tan B = 8/5; B ≈ 58°

There are three primary trigonometric ratios for a right angle triangle and they are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

To get angle B, we will make use of trigonometric ratios to get:

tan B = 8/5

tan B = 1.6

B = tan⁻¹1.6

B = 58°

From the ramp, we can see that the angle is greater than what Gael wants to build and as such we can say it will not work.

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a) U is subspace of R^3.

b) The set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) 2.

a) To show that U is a subspace of R^3, we need to verify the following three conditions:

i) The zero vector (0, 0, 0) is in U.

ii) U is closed under addition.

iii) U is closed under scalar multiplication.

i) The zero vector is in U since 0 + 2(0) - 3(0) = 0.

ii) Let (x1, y1, z1) and (x2, y2, z2) be two vectors in U. Then we have:

x1 + 2y1 - 3z1 = 0 (by definition of U)

x2 + 2y2 - 3z2 = 0 (by definition of U)

Adding these two equations, we get:

(x1 + x2) + 2(y1 + y2) - 3(z1 + z2) = 0

which shows that the sum (x1 + x2, y1 + y2, z1 + z2) is also in U. Therefore, U is closed under addition.

iii) Let (x, y, z) be a vector in U, and let c be a scalar. Then we have:

x + 2y - 3z = 0 (by definition of U)

Multiplying both sides of this equation by c, we get:

cx + 2cy - 3cz = 0

which shows that the vector (cx, cy, cz) is also in U. Therefore, U is closed under scalar multiplication.

Since U satisfies all three conditions, it is a subspace of R^3.

b) To find a basis for U, we can start by setting z = t (where t is an arbitrary parameter), and then solving for x and y in terms of t. From the equation x + 2y - 3z = 0, we have:

x = 3z - 2y

y = (x - 3z)/2

Substituting z = t into these equations, we get:

x = 3t - 2y

y = (x - 3t)/2

Now, we can express any vector in U as a linear combination of two vectors of the form (3, -2, 0) and (0, 1/2, 1), since:

(x, y, z) = x(3, -2, 0) + y(0, 1/2, 1) = (3x, -2x + (1/2)y, y + z)

Therefore, the set {(3, -2, 0), (0, 1/2, 1)} is a basis for U.

c) Since the basis for U has two elements, the dimension of U is 2.

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The rocket's height after 3 seconds is 6.3 sec.

The quadratic equation y = -x2 - 12x, where y is the height of the rocket in metres at time x seconds after launch, may be used to describe the trajectory of a model rocket. The rocket's highest point should be noted, along with the time it was at that height.

A rocket's height is a function of time, h(t), where h is measured in metres and t is measured in seconds. 9.8 m/s2 is the rate of change of velocity (d2h dt2 - t). The rocket is catapulted into the air, reaching a speed of 50 m/s at time t0.

To find the rocket's height at t = 2 sec, we just have to substitute 2 into the equation for t and then solve for h:

h = -5*t2 + 30*t + 10

h = -5(2)2 + 30(2) + 10

h = -5(4) + 30(2) + 10

h = -20 + 60 +10

h = 50 m

The height of the rocket 2 seconds after launching it is 50 meters.

To find the x-coordinate of the vertex of a parabola, we use the formula:

\(xvertex = -b / 2a\)

t - 3 = ± √(11)

t = 3 ± √(11)

t = 3 ± 3.3

Solving for t, we get two solutions:

t = 3 - 3.3

t = -0.3 sec

and

t = 3 + 3.3

t = 6.3 sec

Remember that the rocket takes off from an elevated platform (the roof of a building), not from the ground, in order to comprehend the two alternatives we came up with. Even though we have two x-intercepts, only one of them, tground = 6.3 seconds, is related to when the rocket touches down. The other x-intercept, t = -0.3 sec, only has theoretical significance and is therefore irrelevant in our actual situation.

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The volume of the figure is approximately 1591.63 cm³.

We have,

To find the volume of the figure with a semicircle on top of a cone, we can break it down into two parts: the volume of the cone and the volume of the semicircle.

The volume of the Cone:

The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.

Given that the diameter of the cone is 14 cm, the radius (r) is half of the diameter, which is 7 cm.

The height (h) of the cone is 17 cm.

Plugging the values into the formula, we have:

V_cone = (1/3)π(7 cm)²(17 cm)

V_cone = (1/3)π(49 cm²)(17 cm)

V_cone = (1/3)π(833 cm³)

V_cone ≈ 872.67 cm³ (rounded to two decimal places)

The volume of the Semicircle:

The formula for the volume of a sphere is V = (2/3)πr³, where r is the radius of the sphere. In this case, since we have a semicircle, the radius is half of the diameter of the base.

Given that the diameter of the cone is 14 cm, the radius (r) of the semicircle is half of that, which is 7 cm.

Plugging the value into the formula, we have:

V_semicircle = (2/3)π(7 cm)³

V_semicircle = (2/3)π(343 cm³)

V_semicircle ≈ 718.96 cm³ (rounded to two decimal places)

Total Volume:

To find the total volume, we add the volume of the cone and the volume of the semicircle:

V_total = V_cone + V_semicircle

V_total ≈ 872.67 cm³ + 718.96 cm³

V_total ≈ 1591.63 cm³ (rounded to two decimal places)

Therefore,

The volume of the figure is approximately 1591.63 cm³.

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Answer:

-4

Step-by-step explanation:

What I would do to make it easier is to put them into exponential form. I would do 3 since goes with 1/9,81, and 27.

3^-2a-2=3^4a+4*3^6-3a

Now we can treat it like a normal equation

-2a-2=3^4a+4+6-2a

-2a-2=a+10

-3a=12

a=-4

The Two-Tangent Theorem states that if two tangent segments are drawn to one circle from the same external point, then they are congruent.

The tangents BC and DC are drawn from a common point C to the circle A.

Therefore, by The Two-Tangent Theorem:

BC ≅ DC

Hence, the required reason is:

The Two-Tangent Theorem

Answer: x=m-y/n

Step-by-step explanation:

The expression with x as the subject is x = mn - y.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

m = (x + y) / n

x as the subject means we have to solve for x.

Now,

m = (x + y) / n

Multiply both sides by n.

mn = x + y

Subtract y on both sides.

mn - y = x

x = mn - y

Thus,

x = mn - y.

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Answer:

The value of the experimental probability is greater

Step-by-step explanation:

For the theoretical probability;

the probability that a card with the number 3 is selected is 1/5

We consider that the probabilities of each selection are equal, for the theoretical probability

For the experimental, we simply place the frequency of the selection 3 over the total

that will be 128/400 = 8/25

As we know that 8/25 is greater than 1/5

We can conclude that the value of the experimental probability is greater than that of the theoretical

Answer:

I hate math

Step-by-step explanation:

9514 1404 393

Answer:

  22 miles per hour

Step-by-step explanation:

Her average speed for the journey is found by dividing the total distance by the total time:

  (50 mi + 60 mi)/(2 h + 3h) = (110 mi)/(5 h) = 22 mi/h

Answer:

The coordinates for 45 degrees on the unit circle is (root2/2, root2/2)

Step-by-step explanation:

I am looking at the unit circle right now.

The co-ordinates are √2/2 , √2/2

Simply enter the x and y values from your point if you know the equation for the circle (x,y). Check to determine if your added values are larger than, less than, or equal to the r² number after solving the issue. The point is outside the circle if it is greater.

A coordinate system exists as a system that utilizes one or more numbers, or coordinates, to uniquely specify the position of the points or other geometric elements on a manifold such as Euclidean space.

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Therefore, the mean absolute deviation of the basketball team's scores, rounded to the nearest tenth, is 10.3.

One part divided into ten equal portions. There are a total of 100 blocks, 10 of which are highlighted. For instance, Alex finished tenth in the running race, thus nine people arrived earlier.

To find the mean absolute deviation of the scores, we first need to calculate the mean of the scores. We can do this by adding up all the scores and dividing by the total number of scores:

Mean = (83 + 51 + 64 + 78 + 84 + 62 + 75) / 7

= 497 / 7

= 71

The deviation of each score from the mean is the absolute value of the difference between the score and the mean. We can calculate the deviation for each score as follows:

|83 - 71| = 12

|51 - 71| = 20

|64 - 71| = 7

|78 - 71| = 7

|84 - 71| = 13

|62 - 71| = 9

|75 - 71| = 4

To find the mean absolute deviation, we add up all the deviations and divide by the total number of scores:

Mean Absolute Deviation = (12 + 20 + 7 + 7 + 13 + 9 + 4) / 7

= 72 / 7

= 10.3 (rounded to the nearest tenth)

Therefore, the mean absolute deviation of the basketball team's scores, rounded to the nearest tenth, is 10.3.

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Therefore, the mean absolute deviation of the basketball team's scores, rounded to the nearest tenth, is 10.3.

One component divided into ten equal sections. There are a total of 100 blocks, 10 of which are highlighted. For instance, Alex placed tenth in the running competition, which led to nine people arriving early.

To find the mean absolute deviation of the scores, we first need to calculate the mean of the scores. We can do this by adding up all the scores and dividing by the total number of scores:

Mean = (83 + 51 + 64 + 78 + 84 + 62 + 75) / 7

= 497 / 7

= 71

The deviation of each score from the mean is the absolute value of the difference between the score and the mean. We can calculate the deviation for each score as follows:

|83 - 71| = 12

|51 - 71| = 20

|64 - 71| = 7

|78 - 71| = 7

|84 - 71| = 13

|62 - 71| = 9

|75 - 71| = 4

To find the mean absolute deviation, we add up all the deviations and divide by the total number of scores:

Mean Absolute Deviation = (12 + 20 + 7 + 7 + 13 + 9 + 4) / 7

= 72 / 7

= 10.3 (rounded to the nearest tenth)

Therefore, the mean absolute deviation of the basketball team's scores, rounded to the nearest tenth, is 10.3.

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Answer:

1413/5000

Mark as brainliest :>

Answer:

see the attachment.

i hope this can help you

They are related as u^T transposes of each other. v and v^T u are scalar values that represent the dot product of u and v. uv^T and vu^T are matrices of size n x n that represent the outer product of u and v.

If u and v are vectors in R^n, then:

u^T v and v^T u are related as transposes of each other. Specifically, if

u = [u_1, u_2, ..., u_n]^T

and v = [v_1, v_2, ..., v_n]^T

then:

u^T v = v^T u

= u_1 * v_1 + u_2 * v_2 + ... + u_n * v_n

So, u^T v and v^T u are scalar values that represent the dot product of u and v.

uv^T and vu^T are related as transposes of each other. Specifically, if u = [u_1, u_2, ..., u_n]^T and v = [v_1, v_2, ..., v_n]^T

then:

uv^T = [u_1 * v_1, u_1 * v_2, ..., u_1 * v_n;

u_2 * v_1, u_2 * v_2, ..., u_2 * v_n;

...;

u_n * v_1, u_n * v_2, ..., u_n * v_n]

vu^T = [v_1 * u_1, v_2 * u_1, ..., v_n * u_1;

v_1 * u_2, v_2 * u_2, ..., v_n * u_2;

...;

v_1 * u_n, v_2 * u_n, ..., v_n * u_n]

So, uv^T and vu^T are matrices of size n x n that represent the outer product of u and v.

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Answer:

Step-by-step explanation:

if we have n people and we want to do groups of 5, the total number of different combinations is:

\(c = \frac{n!}{(n - 5)!5!}\)

find the smallest n such c > 365.

let's do it by brute force:

if n = 5, we have:

\(c = 5C_5 = 5\)

if n = 6

\(c =6C_5 =6\)

if n = 7

\(c = 7C_ 5= 21\)

if n = 8

\(c = 8C_5 = 56\)

if n = 9

\(C = 9!/(4!*5!) = 126\)

so 9 is not enough, let's see N = 10

C = 10!/(5!*5!)  = 252

10 is not enough, let's see with 11.

C = 11!/(6!*5!) =  462

So you need at least 11 members in the club.

Then the minimum number of members such we have more than 365 combinations is 11 members

Client need al least 11 members in the club.

According to the question,

Group of five members, the combination will be:

→ \(c = \frac{n!}{(n-5)! \ 5!}\)

By using Brute force,

If n = 5,

c = 5,

C₅ = 5

If n = 6,

c = 6,

C₅ = 6

If n = 7,

c = 7,

C₅ = 21

If n = 8,

c = 8,

C₅ = 56

Now,

If n = 9,

→ C = \(\frac{9!}{(4!\times 5!)}\)

      = 126

and, If n = 10,

→ C = \(\frac{10!}{(5!\times 5!)}\)

      = 252

and, If n = 11,

→ C = \(\frac{11!}{(6!\times 5!)}\)

      = 462

Then perhaps the minimal number of individuals required to have more than 365 possible combinations seems to be 11.

Thus the response above is correct.

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The equation that can be used to determine the radius of the can isr = √(v/πh)

For example, Y is the subject of the following equations. Y = x + 1, Y = 4 + 2x, Y = 2(2x – 3). In the relation v=u + at, v is said to be the subject. When a formula is rearranged so that a different letter becomes the subject, this process is referred to as changing the subject of the relation.

Similar making r the subject in V= π r^2 h

divide both sides by πh

V/πh = r²

r² = V/πh

r = √(V/πh)

therefore the radius of the can be obtained from

r = √(V/πh)

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Answer:

y= 128(1-.5)^t

Step-by-step explanation:

Answer:

(13, - 8 )

Step-by-step explanation:

a translation of 5 units right means add 5 to the x- coordinate.

a translation of 5 units down means subtract 5 from the y- coordinate.

(8, - 3 ) → (8 + 5, - 3 - 5 ) → (13, - 8 )

Answer:

No real solution implies that there could possibly be imaginary solutions.

Step-by-step explanation:  Extraneous solutions are created be using certain methods to solve the problem. They are not, never were, or never will be solutions. They are created by the process that is used to solve. hope this helps you :)

Accοrding tο given cοnditiοns, 250 hamburgers were sοld οn Tuesday.

Algebra is a branch οf mathematics that deals with symbοls and the rules fοr manipulating thοse symbοls. It invοlves sοlving equatiοns and manipulating variables tο find unknοwn values.

Let's use algebra tο sοlve the prοblem.

Let x be the number οf hamburgers sοld.

Then the number οf cheeseburgers sοld is x - 59.

The tοtal number οf hamburgers and cheeseburgers sοld is 441, sο we can write an equatiοn:

x + (x - 59) = 441

Simplifying the left side, we get:

2x - 59 = 441

Adding 59 tο bοth sides, we get:

2x = 500

Dividing by 2, we get:

x = 250

Therefοre, accοrding tο given cοnditiοns, 250 hamburgers were sοld οn Tuesday.

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