What does each line on the protractor stand for?

Answer:

See attached image

Step-by-step explanation:

I'm uncertain as to the "best statement."  None seem to accurately describe the situation. I picked the one that was least incorrect (if that makes any sense).

We cannot verify if each of the four functions g1(x), g2(x), g3(x), and g4(x) have a fixed point at p when f(p) = 0.

To verify that if f(p) = 0, then each of the four functions g1(x), g2(x), g3(x), and g4(x) have a fixed point at p, we need to substitute p into each function and check if the result is equal to p.

g1(x) = (3+x-2x^2)^(1/4)

Let's substitute p into g1(x):

g1(p) = (3+p-2p^2)^(1/4)

To verify if g1(p) = p, we need to show that (3+p-2p^2)^(1/4) = p.

Since this is not an algebraic manipulation that can be solved easily, we cannot confirm if g1(x) has a fixed point at p without further calculations or approximations.

g2(x) = (x+3-x^4/2)^(1/2)

Let's substitute p into g2(x):

g2(p) = (p+3-p^4/2)^(1/2)

To verify if g2(p) = p, we need to show that (p+3-p^4/2)^(1/2) = p.

Since this is not an algebraic manipulation that can be solved easily, we cannot confirm if g2(x) has a fixed point at p without further calculations or approximations.

g3(x) = (x+3/x^2+2)^(1/2)

Let's substitute p into g3(x):

g3(p) = (p+3/p^2+2)^(1/2)

To verify if g3(p) = p, we need to show that (p+3/p^2+2)^(1/2) = p.

Since this is not an algebraic manipulation that can be solved easily, we cannot confirm if g3(x) has a fixed point at p without further calculations or approximations.

g4(x) = (3x^4+2x^2+3)/(4x^3+4x-1)

Let's substitute p into g4(x):

g4(p) = (3p^4+2p^2+3)/(4p^3+4p-1)

To verify if g4(p) = p, we need to show that (3p^4+2p^2+3)/(4p^3+4p-1) = p.

Since this is not an algebraic manipulation that can be solved easily, we cannot confirm if g4(x) has a fixed point at p without further calculations or approximations.

Therefore, based on algebraic manipulations alone, we cannot verify if each of the four functions g1(x), g2(x), g3(x), and g4(x) have a fixed point at p when f(p) = 0. Further calculations or approximations would be required to determine the fixed points of these functions.

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The pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

What is vertical opposite angle ?

When 2 lines meet one another, then the other angles, shaped thanks to intersection ar known as vertical angles or vertically opposite angles. A try of vertically opposite angles ar continuously adequate to one another. Also, a angle and its adjacent angle are supplementary angles, i.e., they add up to a hundred and eighty degrees.

Main body:

1st pair of line intersect each other , so ∠1 = ∠2 by using vertical opposite angle.

2nd pair of line also intersect each other , so ∠3 ,∠4 are adjacent angles.

Hence ,pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

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Answer:# of cars: 1 | 0 | 0 | 0 | 2 | 4 | 5 | 3 | 0 | 2 | 2 | 1 |

Note: the answers are from left to right in order

Step-by-step explanation:

So this isn't as hard as it seems. You just count the X's and if there is like for example 1 x on 30 then the answer for 30 is 1 since there is only 1 X.

It should be noted that z^4 will be -32 in rectangular form.

Based on the information, z = r(cos θ + i sin θ), and provided positive integer n, then it is implied that:

z^n = r^n (cos nθ + i sin nθ)

In this instance, we need to solve for z^4 in rectangular form when z = -2 - 2i. Firstly, we must calculate |z| and arg(z):

|z| = √((-2)^2 + (-2)^2) = 2√2

arg(z) = arctan(-2/-2) = π/4

Leveraging De Moivre's theorem, we can effectively deduce the value of z^4 as:

z^4 = (2√2)^4 (cos (4π/4) + i sin (4π/4))

= 32 (cos π + i sin π)

= -32

Concludedly, z^4  resolved in rectangular form is -32.

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To find the angle of least nonnegative measure that is coterminal with θ = -570°, we can add or subtract multiples of 360° until we get an angle between 0° and 360°.

We can start by adding 360° to -570°:

-570° + 360° = -210°

This is still negative, so we can add another 360°:

-210° + 360° = 150°

This is between 0° and 360°, so the angle of least nonnegative measure that is coterminal with θ = -570° is 150°. Therefore, 0c is 150°.

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The equation of the line in fully simplified slope-intercept form is y = -x - 8.

It is assumed that a line in the graph will pass through some points on the x and y-axes.

We must determine the line's fully simplified intercept.

we know the standard form of a line that is

y = mx + b

here, m is a slope and b is the constant

On the graph, there are the y-intercept (0,-8) and the x-intercept (-8,0).

The slope of the line passing through these points is:

\(slope = \frac{y2 - y1}{x2 - x1} \\ \)

\(slope = \frac{ 8 - 0}{ 0 - 8} \)

slope = 8/(-8)

slope = -1

then find the value of b

if x = 0 y = -8 then

y = mx +b

-8 = -1(0) + b

-8 = b

the value of b is -8

After inserting the values for m and c, the line's equation will be.

y = - x - 8

Hence y = -x - 8 is the equation of the line in fully simplified slope-intercept form.

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Answer:

Well I believe 1 x 649 equals 649 units as the area...

I tried my best! Hope this helps you!

Answer:

Operations Inverse operations

Addition             Subtraction

Subtraction      Addition

Multiplication      Division

Division           Multiplication

Step-by-step explanation:

i hope this will help you

Answer:

2nd option

Step-by-step explanation:

x² + 11x + 30

Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (+ 11)

The factors are + 6 and + 5 , since

6 × 5 = 30 and 6 + 5 = 11 , then

x² + 11x + 30 = (x + 6)(x + 5) ← in factored form

Answer:

(x+6)(x+5)

because the sum of 6+5 is 11x

and the multiplication of 6·5 is 30

The value of the equation A = 154,504 / 28 = 5518

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Let the dividend be p = 154,504

Let the divisor be q = 28

Substituting the values in the equation , we get

A = p / q

A = 5,518

     5518

28 | 154504

1 4 0      

 1 4 5    

 1 4 0    

     5 0  

     2 8  

     2 2 4

     2 2 4

         0

So , the remainder of the equation is 0 and the quotient is 5518

Hence , the equation is A = 5518

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Answer:

£40

Step-by-step explanation:

3+5=8

160÷8= 20

20× 5=100

20×3=60

100-60=40

Answer:

£40

Step-by-step explanation:

160 shared between 3:5

3 + 5 = 8 (parts)

160 ÷ 8 = 20

20 = 1 part

Sue has 3 parts; (20 x 3) = £60

Oliver has 5 parts; (20 x 5) = £100

Work out how much more oliver get conpared to sue

oliver has £100, sue has £60

£100 - £60 = £40

oliver has £40 compared to sue

Answer:

$18

Step-by-step explanation:

20% of 15 is 3 so 3+ 15 = 18

The factor that provides the basis for the grading of newly diagnosed malignant tumours is degree of differentiation.

The level of differentiation impacts an individual's capacity to control their emotions, thoughts, individuality, and connections to others. The degree of any differential equation can be obtained when it is expressed as a polynomial; otherwise, the degree cannot be defined.

The mechanisms by which immature cells develop into mature cells with particular roles are described in biology. This indicates the degree to which tumour tissue resembles the healthy tissue from which it originated in the context of cancer. Compared to poorly or undifferentiated cancer cells, well-differentiated cancer cells resemble normal cells more and grow and spread more slowly. Tumour grading systems, which vary for each form of cancer, use differentiation.

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Answer:

1/128 * (3 - 4cos2x + cos4x)

Step-by-step explanation:

See attachment for steps

When using the Lagrange multiplier method to optimize a function subject to a constraint, focusing on the points where the gradient of the function is perpendicular to the constraint line helps identify potential extremal points that satisfy both the objective function and the constraint simultaneously.

In the context of optimization with a constraint, the Lagrange multiplier method is commonly used. This method introduces Lagrange multipliers to incorporate the constraint into the optimization problem. When considering the points on the line at which the gradient of the function f[x, y, z] (denoted as ∇f[x, y, z]) is perpendicular to the line, we are essentially examining the points where the gradient of the function and the gradient of the constraint (in this case, the line) are parallel.

By introducing a Lagrange multiplier λ, we can form the Lagrangian function L[x, y, z, λ] = f[x, y, z] - λg[x, y, z], where g[x, y, z] represents the equation of the given line. The Lagrange multiplier method seeks to find the values of x, y, z, and λ that simultaneously satisfy the equations:

∇f[x, y, z] - λ∇g[x, y, z] = 0 (1)

g[x, y, z] = 0 (2)

The equation (1) ensures that the gradient of f and the gradient of g are parallel, while equation (2) enforces the constraint that the variables lie on the given line.

At the points where ∇f[x, y, z] is perpendicular to the line, the dot product between ∇f[x, y, z] and the tangent vector of the line is zero. This means that ∇f[x, y, z] and the tangent vector are orthogonal, and thus the gradient of f is parallel to the normal vector of the line.

In the Lagrange multiplier method, finding the points where ∇f[x, y, z] is perpendicular to the line becomes crucial because it helps identify potential extremal points that satisfy both the objective function and the constraint simultaneously.

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Answer:

number of pennies = 19

number of dimes = 19

number of quarters = 45 - 2 × 19 = 45 - 38 = 7

Step-by-step explanation:

The total number of coins in the box is 45 . The coins consist of pennies, dimes and quarters.

The number of pennies is equal to the number of dimes. The remaining number is the quarters. Therefore,

number of pennies = a

number of dimes = a

number of dimes = 45 - 2a

1 dime = 0.1 dollars

1 penny = 0.01 dollars

1 quarters = 0.25 dollars

Thee total cost can be expressed as follows

3.84 = a(0.01) + a(0.1) + 0.25(45 - 2a)

3.84 = 0.01a  + 0.1a + 11.25  - 0.5 a

3.84 = -0.39 a + 11.25

3.84 - 11.25 = -0.39 a

-7.41  = -0.39 a

divide both sides by -0.39

a = -7.41/-0.39

a = 19

number of pennies = 19

number of dimes = 19

number of quarters = 45 - 2 × 19 = 45 - 38 = 7

Answer:

The value of h is h = -1.5

Step-by-step explanation:

The quadratic equation is represented by a parabola, the vertex form of the equation is y = a(x - h)² + k, where

(h , k) are the coordinates of its vertex point

a is the coefficient of x²

∵ The graph is a parabola opens up

∵ It has a vertex at (-1.5, 0)

∵ The vertex of the parabola is (h , k)

∴ h = -1.5 and k = 0

∵ The graph shows f(x) = (x - h)²

∵ The coordinates of the vertex are (h , k)

∵ h = -1.5 and k = 0

∴ h = -1.5

The value of h is h = -1.5

The value of h is h = -1.5

We have given that,

On a coordinate plane, a parabola opens up and goes through (negative 2, 5), has vertex (0, 1), and goes through (2, 5). Another parabola opens to the right and goes through (8, 4), has vertex (negative 8, 0), and goes through (8, negative 4).

The quadratic equation is represented by a parabola,

The  vertex form of the equation is y = a(x - h)² + k, where

(h, k) are the coordinates of its vertex point

a is the coefficient of x²

∵ The graph is a parabola that opens up

∵ It has a vertex at (-1.5, 0)

∵ The vertex of the parabola is (h , k)

∴ h = -1.5 and k = 0

∵ The graph shows f(x) = (x - h)²

∵ The coordinates of the vertex are (h, k)

∵ h = -1.5 and k = 0

∴ h = -1.5

The value of h is h = -1.5.

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151 cm^2

i did the math to find the areas of each shape and then added it together

Answer:

I cant answer everything but I know that there are 8 cups in a liter

Step-by-step explanation:

Answer:

B,D

Step-by-step explanation:

[26, +∞) represents the interval where a is greater than or equal to 26. Any value of a within or above this interval satisfies the inequality a >= 26.

The inequality a >= 26 can be expressed in interval notation as [26, +∞). The interval notation consists of two symbols, "[" and ")", along with the numbers that represent the interval.

In interval notation,  represents that the interval includes the endpoint, while indicates that the interval does not include the endpoint. In this case, the left endpoint is 26, which is included in the interval because of the greater than or equal to sign (>=). The right endpoint is +∞, which represents positive infinity and indicates that there is no upper bound on the interval.

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Using the bisection concept, we have that the measure of angle AXB is of 160º.

A bisection of an angle is the formation of a ray that divides the angle into two equal parts.

For this problem, we have that:

Hence the measure of angle AXB is of 160º.

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Answer:

Step-by-step explanation:

The first transformation changes the sign of the x-coordinate. That means a point that was some number of units (3, for example) right of the y-axis will be transformed to a point 3 untis left of the y-axis. It is reflected across the y-axis.

__

The second transformation multiplies each coordinate value by 0.4. A point that was some number of units (3, for example) away from the origin, will be transformed to a point 3×0.4 = 1.2 units from the origin. It is dilated by a factor of 0.4.

__

The third transformation subtracts 8 from the x-coordinate and adds 8 to the y-coordinate. The x-coordinate is a measure of the distance to the right of the y-axis, so subtracting 8 from the x-coordinate means the point is 8 fewer units to the right of the y-axis. It is translated left 8 units.

Similarly, the y-coordinate is a measure of the distance up from the x-axis. Adding 8 to the y-coordinate will move the point 8 more units up from the x-axis. It is translated up 8 units.

The common region to the graph of both inequality represents the possible solution sets to the inequality.

An inequality is used to make unequal comparisons between two expressions.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is a system of inequality as -

4x - 5y ≥ -35

y > - x - 2

Refer to the graph attached. The common region to the graph of both inequality represents the possible solution set to the inequality.

Therefore, the common region to the graph of both inequality represents the possible solution sets to the inequality.

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Answer:

square root of 7

Step-by-step explanation:

2 times 2 is 4

3 times 3 is 9

7 is the only option between 4 and 9

(this was more the easy method lol but hope this helps)

The probability that both Event A (coin lands on heads) and Event B (die is 5 or greater) will occur is 1/6.

To find the probability that both Event A (coin lands on heads) and Event B (die is 5 or greater) will occur, we need to determine the individual probabilities of each event and then multiply them together since the events are independent.

Event A: The coin lands on heads

A fair coin has two equally likely outcomes, heads or tails. Since we are interested in the probability of heads, there is only one favorable outcome out of two possible outcomes.

P(A) = 1/2

Event B: The die is 5 or greater

A fair six-sided die has six equally likely outcomes, numbers 1 through 6. Out of these six outcomes, there are two favorable outcomes (5 and 6) for Event B.

P(B) = 2/6 = 1/3

To find the probability of both events occurring (A and B), we multiply the individual probabilities:

P(A and B) = P(A) * P(B) = (1/2) * (1/3) = 1/6

Therefore, the probability that both Event A (coin lands on heads) and Event B (die is 5 or greater) will occur is 1/6.

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Answer: 12.2

Step-by-step explanation:

1572-1381 = 191

191/1572 = 0.122

0.122 x 100 = 12.15 / 12.2

59

Step-by-step explanation:

7 × 5 = 35

6 × 4 = 24

35 + 24 = 59

because 4 + 5 is 9 and 3 + 2 is 5

so 59

Answer:

59

Step-by-step explanation:

Follow PEMDAS

P=Parenthesis

E=Exponents

M=Multiplication

D=Division

A=Addition

S=Subtracting

So, multiply 7 times 5, then add 6 times 4.

35+24=59