Derek scored a 15/25 on his math test and Meredith scored a 8/14 on her science test. Who had the best score? Explain.

Answer: -2

Step-by-step explanation:

Answer:

You have to write the number-line out man. However, the answer is -2

Step-by-step explanation:

When solving problems like these, knowledge or integers and whole numbers are important. First, find the absolute values of both numbers.

Absolute value of -6: 6

Absolute value of 4: 4

Subtract the values: 6 - 4 = (Positive 2)

THEN, look at the number with the Greater Absolute value. In this case, it is -6. Because -6 has the greater absolute value, your answer should be the connotation of that number. IN THIS CASE, the number with the greater absolute value, -6, has a negative sign. Therefore, your answer should be negative. Your answer is -2.

My attempt at a number line:

----------------->

_|_________|______________

-6  -5  -4 - 3  -2  -1  0  1  2  3  4

Answer:

7.5

Step-by-step explanation:

90÷12 = 7.5.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items. Division is the reciprocal of multiplication.

90 divided by 12,

on dividing 90 by 12 we get,

7.5 as quotient and 6 as remainder.

Quotient is the number of times a division is completed fully, while the remainder is the amount left that

Hence, 90÷12 = 7.5.

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In the given function, the value of f(4) is 9

A function is a process or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.

To find the value of f(4), we need to evaluate the function f(x) at x = 4. Let's substitute x = 4 into the appropriate piece of the function:

f(4) = x² - 7

f(4) = 4² - 7

f(4) = 16 - 7

f(4) = 9

Therefore, the value of f(4) is 9.

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The 'Y' Coordinate is written second in an order of coordinates which is /X , Y\ Prob such as /12, 5\

Answer:

  320°

Step-by-step explanation:

Part 1

The arc length is given by ...

  s = rθ . . . . . r is the radius, θ is the central angle in radians

We want to find θ, so we can fill in the given values and divide by the coefficient of θ.

  8π = 4.5θ

  θ = 8π/4.5 = 16π/9 . . . radians

Since π radians = 180°, the degree measure of the angle is ...

  θ = (16/9)180° = 320°

The measure of the angle subtended by the arc is 320°.

_____

Part 2

We might be able to help with the second part of the question, but you need to edit to put in the numbers and answer choices.

Answer:

10

Step-by-step explanation:

a1=2

a=2

an=-5an-1+3

plug in

(2)5=10

Answer:

B)

Step-by-step explanation:

You would first multiply the variable and constant with the number next to the parenthesis. So you now have 4x+2x+2. Then you add up like terms to get a final answer of 6x+2.

Pollard's rho factorisation method is an efficient algorithm for finding prime factors of large numbers. It is a variant of Floyd's cycle-finding algorithm that applies to the problem of integer factorization.

Its running time is dependent on the size of the factors to be found. It can be much faster than other algorithms such as trial division, but is not as fast as the General Number Field Sieve.Pollard's rho algorithm is based on the observation that if a sequence of numbers x1, x2, x3, … is formed by iterating a function f on an initial value x0, and the sequence eventually enters a cycle, then two numbers in the cycle will have a common factor. Pollard's rho method generates a sequence of numbers in this manner and tests for common factors between pairs of numbers until a nontrivial factor of n is found.The rho factorisation method is a fast algorithm for finding prime factors of large numbers. It is a variant of Floyd's cycle-finding algorithm and applies to the problem of integer factorization. Its running time is dependent on the size of the factors to be found. It can be much faster than other algorithms such as trial division, but is not as fast as the General Number Field Sieve.Pollard's rho algorithm generates a sequence of numbers x1, x2, x3, … by iterating a function f on an initial value x0. If the sequence eventually enters a cycle, then two numbers in the cycle will have a common factor. The algorithm tests for common factors between pairs of numbers until a nontrivial factor of n is found.The basic idea behind Pollard's rho algorithm is that it generates random walks on the number line and looks for cycles in those walks. If a cycle is found, then a nontrivial factor of n can be obtained from that cycle. The algorithm works by selecting a random integer x0 modulo n and then applying a function f to it. The function f is defined as follows:f(x) = (x^2 + c) modulo nwhere c is a randomly chosen constant. The sequence of numbers generated by iterating this function can be viewed as a random walk on the number line modulo n. The algorithm looks for cycles in this walk by computing pairs of numbers xi, x2i (mod n) and testing them for common factors. If a common factor is found, then a nontrivial factor of n can be obtained from that factor. This process is repeated until a nontrivial factor of n is found.In conclusion, the Pollard's rho algorithm is an efficient algorithm for finding prime factors of large numbers. Its running time is dependent on the size of the factors to be found. It can be much faster than other algorithms such as trial division, but is not as fast as the General Number Field Sieve. The algorithm generates a sequence of numbers x1, x2, x3, … by iterating a function f on an initial value x0. If the sequence eventually enters a cycle, then two numbers in the cycle will have a common factor. The algorithm tests for common factors between pairs of numbers until a nontrivial factor of n is found.

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Pollard's rho factorization method is a probabilistic algorithm used to factorize composite numbers into their prime factors.

Pollard's rho factorization method is an algorithm developed by John Pollard in 1975. It aims to factorize composite numbers by detecting cycles in a sequence of values generated by a specific mathematical function.

By exploiting the properties of congruence, the algorithm increases the likelihood of finding factors. It is a relatively simple and memory-efficient approach but its success is not guaranteed for all inputs.

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Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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For figure 2) the value of the 'x' would be x = 14.

and for figure 3) the value of the 'x' would be x = 17 or x = 1 .

What is the Basic Proportionality Theorem?

The Basic Proportionality Theorem (can be abbreviated as BPT) states that, if a line is parallel to a side of a triangle that intersects the other sides into two distinct points, then the line divides those sides in proportion.

Figure 2)

By using the Basic Proportionality Theorem, we can write

                        \(\frac{11}{22}=\frac{x}{42-x}\\\\\frac{1}{2}=\frac{x}{42-x}\\\\42-x=2x\\\\3x=42\\\\x=14\)

Now for figure 3)

            By using Pythagoras' theorem, we can write

                        \(24^2+(x+7)^2=(2x-10)^2\\\\576+x^2+14x+49=4x^2-40x+100\\\\3x^2-54x+51=0\\\\x^2-18x+17=0\\\\x^2-17x-x+17=0\\\\(x-17)(x-1)=0\\\\x=17 $ or $ x=1\)

Hence, for figure 2) the value of the 'x' would be x = 14.

and for figure 3) the value of the 'x' would be x = 17 or x = 1 .

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The 20th prize is $4400.

It is a sequence where the difference between each consecutive terms is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

First prize = $12,000

Successive prize worth $400 less than the preceding prize.

Now,

We can make an arithmetic sequence.

12,000, 11,600, 11,200, ...

So,

a = 12,000

d = -400

The nth term of an arithmetic sequence.

= a + (n - 1)d

So,

The 20th prize.

= 12,000 + (20 -1)400

= 12,000 - 19 x 400

= 12,000 - 7600

= 4400

Thus,

20th prize = $4400

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Answer:

8h + 37 = 125

Step-by-step explanation:

if she already has 37, you can take 37 from 125. you should have 88 left.

if you do the math, 8 x 11 is 88. so she needs to work 11 hours to be able to pay for the ski pass.

According to the statement ( Evaluate the definite integral to find the area of the region bounded by the graphs of the equations x=y²+1 and x = y+3 ) the area of the region bounded by the graphs of the equations x=y²+1 and x=y+3 is \(\frac{19}{6}\).

To set up the definite integral, we need to determine the limits of integration. We can find the points of intersection between the two curves by solving the system of equations:

x = y² + 1 \

x = y + 3

Setting the two equations equal to each other:

y² + 1  & = y + 3 \

y²- y - 2 &= 0 \

(y - 2)(y + 1) &= 0

From this, we find two intersection points: y = 2 and y = -1.

Now, let's set up and evaluate the definite integral. Since the region is bounded by the curves, the integral will be taken with respect to y.

The integral representing the area A is given by:

\(\oint_{-1}^{2}x_{2}\left ( y \right )-x_{1}\left ( y \right )dy\)

where x_1(y) = y² + 1 and x_2(y) = y + 3.

Evaluating the integral:

A =\(\int_{-1}^{2} (y + 3 - (y^2 + 1)) , dy\)

= \(\int_{-1}^{2} (3 - y^2 - y + 1) , dy\)

= \(\int_{-1}^{2} (-y^2 - y + 4) , dy\)

= \(\int_{-1}^{2} (-y^2 - y + 4) , dy\)

= \(\int_{-1}^{2} (-y^2 - y + 4) , dy\)

= \(\int_{-1}^{2} (-y^2 - y + 4) , dy\)

= \(\frac{19}{6}\)

Therefore, the area of the region bounded by the graphs of the equations x=y^2+1 and x=y+3 is \(\frac{19}{6}\).

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set up and evaluate the definite integral to find the area of the region bounded by the graphs of the equations x=y^2+1 and x = y+3 --- graph and shade the region if you can... (if not just set up and evaluate)

To find the area bounded between the graphs of \(y = (x+7)^2\), \(x=2\), \(x=6\), and the x-axis, we can set up an integral and evaluate it. The integral that represents the area is: \(\int_{2}^{6} (x+7)^2 dx\)

First, let's graph the function \(y = (x+7)^2\). This is a parabolic function that opens upwards. The vertex of the parabola is located at the point (-7, 0). The x-intercepts can be found by setting y = 0 and solving for x. In this case, we have \((x+7)^2 = 0\), which gives us \(x = -7\). So, the graph intersects the x-axis at \(x = -7\).

Now, we want to find the area between the graph of \(y = (x+7)^2\), the x-axis, and the vertical lines \(x = 2\) and \(x = 6\). This means we need to find the area between the graph from \(x = 2\) to \(x = 6\).

To set up the integral, we need to express the area as a function of x. The area between the graph and the x-axis can be represented by the integral of the function \((x+7)^2\) with respect to x, from \(x = 2\) to \(x = 6\).

So, the integral that represents the area is:

\(\int_{2}^{6} (x+7)^2 dx\)

To evaluate this integral, we can expand \((x+7)^2\) to get \(x^2 + 14x + 49\).

The integral becomes:

\(\int_{2}^{6} (x^2 + 14x + 49) dx\).

Integrating each term separately, we get:

\(\left(\frac{1}{3}x^3 + 7x^2 + 49x\right) \Big|_{2}^{6}\).

Evaluating this expression at \(x = 6\) and subtracting the result when \(x = 2\), we can find the area bounded between the graphs.

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Answer:

n = d/11 - 5m/11

Step-by-step explanation:

Subtract 5m from both sides.

( 11n = d-5m )

divide each term by 11 then simplify.

Answer:

a season

Step-by-step explanation:

The ordered pair which is solution of 8x+16y > 32 is (-3,5) , the correct option is (b) .

In the question ,

it is given that ,

the linear inequality is 8x+16y > 32 .

to find the solution set ,

we substitute the options that are given

Option(a)

Substituting (0,2) in 8x+16y > 32 ,

we get ,

8(0) + 16(2) > 32

32 > 32 ,

false , hence it is not a solution .

Option(b)

Substituting (-3,5) in 8x+16y > 32 ,

we get ,

8(-3) + 16(5) > 32

-24 + 80 > 32

56 > 32

true , yes it is the solution .

Option(c)

Substituting (-1,1) in 8x+16y > 32 ,

we get ,

8(-1) + 16(1) > 32

-8 + 16 > 32

8 > 32

False , hence it is not a solution .

Option(d)

Substituting (4,0) in 8x+16y > 32 ,

we get ,

8(4) + 16(0) > 32

32 + 0 > 32

32 > 32

False , hence it is not a solution .

The only solution that satisfy the inequality is (-3,5) .

Therefore  , The ordered pair which is solution of 8x+16y > 32 is (-3,5) .

The given question is incomplete , the complete question is

Which ordered pair is in the solution set of 8x+16y > 32 ?

(a) (0,2)

(b) (-3,5)

(c) (-1,1)

(d) (4,0)

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y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1] is the orthogonal basis for w using Gram-Schmidt process.

Given,

The set;

x₁ = [1  -4  0  1]

x₂ = [7  -7  -6  1]

We have to produce the orthogonal basis for w using the Gram-Schmidt process;

Here,

y₁ = x₁ =  [1  -4  0  1]

Now,

Solve for y₂

y₂ = x₂ - [x₂y₁ / y₁y₁] y₁

That is,

y₂ = [7  -7  -6  1] - ( [7  -7  -6  1] [1  -4  0  1] / [1  -4  0  1] [1  -4  0  1] ) × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1  -4  0  1]

y₂ = [7  -7  -6  1]  - 36/18 × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - 2  × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - [2  8  0  2]

y₂ = [5  1  -6  -1]

That is,

The orthogonal basis for w using Gram-Schmidt process is,

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1]

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Answer:

negitive 8

Step-by-step explanation:

you would have to use a negitive because 12 os higher than 5 and it has to be over 7 or negitive 7

Answer:

Step-by-step explanation:

A squiggly line can refer to a variety of different shapes or patterns. To create an equation using cosine that resembles a squiggly line, you can use a combination of sine and cosine functions with different frequencies and amplitudes. Here's an example equation that produces a squiggly pattern:

y = A * cos(B * x) + C * sin(D * x)

In this equation, A, B, C, and D are constants that you can adjust to modify the shape and characteristics of the squiggly line. By experimenting with different values for these constants, you can create various squiggly patterns. Keep in mind that the specific equation may vary depending on the exact shape and features you have in mind for the squiggly line.

For the exponential function:

g(x) = 14*(2)^x

We can see that:

a = 14, and b = 2.

A general exponential function is written as:

y = a*(b)^x

Where a is the inital value of the exponential function and b is the base.

Here we have the exponential function:

g(x) = 14*(2)^x

Comparing that to the general one, we can see that the initial value is 14 and the base is 2.

Then:

a = 14

b = 2

The correct option is the second one.

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Answer:

x = 16

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+2) *2 = 6^2

2(x+2) = 36

Divide by 2

x+2 = 18

Subtract 2

x = 18-2

x = 16

Answer:

x = 16

Step-by-step explanation:

6^2 = 2(2+x) (Tangent Secant Product)

36 = 4 + 2x

32 = 2x

x = 16

In the Clausius-Clapeyron equation, the variables related to the measured values that would typically be graphed on the x and y axes depend on the specific application.

Generally, the natural logarithm of the vapor pressure (ln P) is plotted on the y-axis, while the reciprocal of the absolute temperature (1/T) is plotted on the x-axis. The slope (m) and y-intercept (b) of the resulting linear graph have specific interpretations in the context of the equation.

The Clausius-Clapeyron equation relates the vapor pressure of a substance to its temperature. It is expressed as ln(P) = -ΔHvap/R * (1/T) + C, where P is the vapor pressure, ΔHvap is the enthalpy of vaporization, R is the gas constant, T is the temperature, and C is a constant. When graphing this equation, we often plot ln(P) on the y-axis and 1/T on the x-axis.

The graph obtained from plotting these variables follows a linear relationship. The slope of the resulting line, denoted as m, is equal to -ΔHvap/R. This slope provides valuable information about the enthalpy of vaporization, which is a measure of the energy required to convert a substance from its liquid phase to its gas phase. The y-intercept, denoted as b, represents the constant C in the equation, which accounts for any initial conditions or deviations from the ideal gas behavior.

By plotting ln(P) against 1/T, we can determine the slope and y-intercept of the linear graph. These parameters have specific physical interpretations and can provide insights into the thermodynamic properties of the substance under investigation. Analyzing the slope and y-intercept values can help in quantifying the enthalpy of vaporization and understanding the behavior of the substance as its temperature changes.

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Answer:

2^(3/7)

Step-by-step explanation:

For these types of questions, what is inside the root is the numerator, and what is on top is the denominator.

3 is in the root, so it is the numerator

7 is outside the root, so it is the denominator

Therefore, The answer is 2^(3/7)

Yes, line is used to define an angle.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

When two straight lines or rays intersect at a single endpoint, an angle is created.

The vertex of an angle is the location where two points come together.

The common point is referred to as the vertex.

The length of the angle formed when two rays or arms intersect at a common vertex is known as an angle measure in geometry.

A straight line is a straight angle.

Therefore, two lines are used to define an angle.

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Answer:

Associative property.

Step-by-step explanation:

\(assosiative \: property \\ for \: any \: nubers \: likeur \: question \: \\ didnt \: affect \: theanswer \\ thank \: you\)

Answer:

Answer: y = -2x+8

Point slope formula y - y1 = m(x - x1).

Answer:

Option B. y = 14x - 3.5

Number of wins for the team will be 24.5

Step-by-step explanation:

Since line of best fit passes through two points (0.25, 0) and (0.75, 7)

Let the equation of the line of best fit is, y - y' = m(x - x') + c

Here 'm' = Slope of the line

              = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

              = \(\frac{7-0}{0.75-0.25}\)

              = \(\frac{7}{0.5}\)

          m = 14

Equation of the line of best fit passing through a point (0.25, 0) will be

y - 0 = 14(x - 0.25)

y = 14x - 3.5 [Option B]

Now number of wins for a team that scores 2 goals per match will be,

For x = 2

y = 14x - 3.5

y = 14×2 - 3.5

  = 28 - 3.5

  = 24.5 wins

Therefore, number of wins for the team will be 24.5

Answer:

B on khan and 24.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

As here,

3 cm + 6 cm = 9cm. = 9cm

And as we know,

According to Triangle Inequality Property,

Measurement of any two sides of a triangle is always greater than the third side.

But here,

Sum of two sides is same as the third side,

So,

Option D is the required answer.