In football, the team that has the ball has four chances to gain at least ten yards, if
they don't gain at least ten yards, the other team gets the ball, Positive numbers
represent a gain and negative numbers represent a loss, Select all of the sequences
of four plays that result in the team getting to keep the ball,
A. 8, -3, 4, 21
B. 30, -7,-8, -12
C. 2, 16, -5, -3
D, 5, 2, 20, -1
E. 20, -3, -13,2

Answer:

A

Step-by-step explanation:

Answer: the slope=-5/4

Step-by-step explanation:

Find the two coordinates that are marked on this line: (-3,2) and (1,-3)

                              \(\boxed {The\ slope=\frac{y_2-y_1}{x_2-x_1} }\)

\(x_1=-3\ \ \ \ x_2=1 \ \ \ \ \ y_1=2 \ \ \ \ \ y_2=-3\\\\Hence,\\\\\)

\(\displaystyle\\The\ slope=\frac{-3-2}{1-(-3)} \\\\The\ slope=\frac{-5}{1+3} \\\\The\ slope=-\frac{5}{4}\)

Answer:

5 bracelets

Step-by-step explanation:

take the 200 - 120

now take the 80 thats left over and divide that by 15

that will equal 5.33 so you go by the whole number she can make a total og 5 bracelets

hope this helped

Answer:

5

Step-by-step explanation:

Answer:

87.3

C=2πR ---} 2×43.668 ---} 87.336

Step-by-step explanation:

1. -4

2. 4

3. -15

I first wrote the answer of 2 , 3 and then 1 .

copy it carefully.

you may get confused

Answer:

First, put a multiplications sign in between the brackets:

(5x - 2) * (3x + 4)

Then using distributive property:

5x(3x + 4) - 2(3x + 4)

Then using distributive proper once again:

15x^2 + 20x - 6x - 8

Finally, calculate:

15x^2 + 14x - 8

The answer is. \(15x^2-6x+12\)

The question is of the type in algebraic equations.

Here the first step is multiplying the two algebraic expressions.

5x is multiplied with 3x and 4

-2 should be multiplied by 3x and 4.

we will get. \(5x(3x+4)-2(3x+4)\)

Next, we get. \(15x^2+20-6x-8\) (calculating constants and variables)

Therefore, the final answer = \(15x^2-6x+12\).

This type of equation is called as quadratic equation with one variable as the degree of the equation is 2.

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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.

1. The concept of equilibrium condition in mechanics refers to a state where the forces and moments acting on a particle or a rigid body are balanced, resulting in no net acceleration or rotation. For a particle, the equilibrium condition is achieved when the vector sum of all external forces acting on it is zero.

For a rigid body, both the forces and moments acting on it must be balanced to maintain equilibrium. The application of equilibrium conditions allows us to analyze and solve problems involving static equilibrium, such as determining unknown forces or finding stability conditions.

2. Internal forces in a beam, namely shear forces and bending moments, are determined through structural analysis. By considering the external loads and support reactions acting on the beam, we can draw a shear force diagram and a bending moment diagram.

The shear force diagram represents the variation of shear forces along the length of the beam, while the bending moment diagram represents the variation of bending moments. These diagrams provide valuable information about the internal forces experienced by the beam at different points, aiding in the design and analysis of structures.

3. Elastic torsion refers to the twisting deformation experienced by a solid element, such as a shaft or a bar, when subjected to a torque or twisting moment. In the stress-strain diagram, elastic torsion is represented by a linear relationship between the applied torque and the resulting angle of twist.

This region is known as the elastic range, where the material behaves elastically and can return to its original shape once the torque is removed. The stress-strain diagram helps us understand the material's response to torsion and determine its elastic modulus and torsional strength.

4. The main characteristic of non-circular solid elements, such as rectangular or I-shaped sections, when subjected to torsion is that the distribution of shear stress is not uniform throughout the cross-section. Unlike circular sections, which experience uniform shear stress distribution, non-circular sections exhibit varying shear stress along different points of the cross-section.

This non-uniform distribution can result in localized areas of higher shear stress concentration, potentially leading to failure or reduced strength in certain regions. Proper design considerations and reinforcement techniques, such as using flanges or stiffeners, are required to mitigate these effects and ensure the structural integrity of non-circular solid elements under torsional loads.

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The vertex of f(x) = 3x^2 + 12x − 8 is (2,28) absolute minimum

The equation is given as:

f(x) = 3x^2 + 12x − 8

Differentiate the function

f'(x) = 6x + 12

Set to 0

6x + 12 = 0

Divide through by 6

x + 2 = 0

Solve for x

x = -2

Substitute x = -2 in f(x) = 3x^2 + 12x − 8

f(2) = 3 *2^2 + 12 *2 − 8

Evaluate

f(2) = 28

This means that the vertex is (2,28)

A quadratic function is represented as:

f(x) =ax^2 + bx + c

When a is positive, then the vertex of the function is an absolute minimum.

This means that f(x) = 3x^2 + 12x − 8 has an absolute minimum vertex because 3 is positive

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Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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The awnser would be 32 and the remainder would be 1

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbbbv

Answer:

i dont know

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The answer is because:

a^2 + b^2 = c^2

8^2 + 6^2 = x^2

64 + 36 = x^2

100 = x^2

√100 = √x^2

10 = x

Answer:

34.78

Step-by-step explanation:

A=h×b/2

A=7.4×9.4/2

A=34.78

Given differential equation is `y'y² = x`.We need to solve the given differential equation using separated variables method.

The method is as follows:Separate the variables y and x on both sides of the equation and integrate them separately. That is integrate `y² dy` on left side and integrate `x dx` on right side of the equation. So,`y'y² = x`⟹ `y' dy = x / y² dx`Integrate both sides of the equation `y' dy = x / y² dx` with respect to their variables, we get `∫ y' dy = ∫ x / y² dx`.So, `y² / 2 = - 1 / y + C` [integrate both sides of the equation]Where C is a constant of integration.To find the value of C, we need to use initial conditions.

As no initial conditions are given in the question, we can't find the value of C. Hence the final solution is `y² / 2 = - 1 / y + C` (without any initial conditions)Now, we need to solve the same differential equation with y = y ln x.

Let y = y ln x, then `y' = (1 / x) (y + xy')`Put the value of y' in the given differential equation, we get`(1 / x) (y + xy') y² = x`⟹ `y + xy' = xy / y²`⟹ `y + xy' = 1 / y`⟹ `y' = (1 / x) (1 / y - y)`

Now, we can solve this differential equation using separated variables method as follows:Separate the variables y and x on both sides of the equation and integrate them separately. That is integrate `1 / y - y` on left side and integrate `1 / x dx` on right side of the equation. So,`y' = (1 / x) (1 / y - y)`⟹ `(1 / y - y) dy = x / y dx`Integrate both sides of the equation `(1 / y - y) dy = x / y dx` with respect to their variables, we get `∫ (1 / y - y) dy = ∫ x / y dx`.So, `ln |y| - (y² / 2) = ln |x| + C` [integrate both sides of the equation]

Where C is a constant of integration.To find the value of C, we need to use initial conditions. As no initial conditions are given in the question, we can't find the value of C. Hence the final solution is `ln |y| - (y² / 2) = ln |x| + C` (without any initial conditions)

In this question, we solved the given differential equation using separated variables method. Also, we solved the same differential equation with y = y ln x.

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Answer:

i think its a or d

Step-by-step explanation:

The conditional probability of passing the second test, given that the student passed the first test, is approximately 0.857 or 85.7%.

The random variable X represents the outcome of the first test, where it takes on a value of 1 if the student passes and 0 if the student fails.

Similarly, the random variable Y represents the outcome of the second test, taking on a value of 1 if the student passes and 0 if the student fails. Given that the joint probability of passing both tests is 0.6, we can interpret this as the probability of X=1 and Y=1.

The marginal probability of failing the first test is 0.3, which can be represented as P(X=0). To find the conditional probability of passing the second test, given that the student passed the first test, we use the formula \(P(Y=1 | X=1) = P(X=1 and Y=1) / P(X=1).\)

Since we know that \(P(X=1 and Y=1) = 0.6, and P(X=1) = 1 - P(X=0) = 1 - 0.3 = 0.7\), we can substitute these values into the formula:
\(P(Y=1 | X=1) = 0.6 / 0.7\)

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The conditional probability of passing the second test, given that the student passed the first test, is approximately 0.8571 or 85.71%.

The conditional probability of passing the second test, given that the student passed the first test, can be calculated using the formula for conditional probability:

P(Y=1 | X=1) = P(X=1 and Y=1) / P(X=1)

We are given that the joint probability of passing both tests is 0.6, which means P(X=1 and Y=1) = 0.6.

To find P(X=1), we need to use the marginal probability of failing the first test, which is given as 0.3. Since the marginal probability of passing the first test is the complement of failing the first test (i.e., 1 - 0.3 = 0.7), we can say P(X=1) = 0.7.

Now we can substitute these values into the conditional probability formula:

P(Y=1 | X=1) = 0.6 / 0.7

Simplifying this expression, we have:

P(Y=1 | X=1) = 0.8571

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To determine the total grade we mutiply each one by the percentage it represents of the overall grade in decimal form and add them, that is:

Therefore, the overall grade is 69

Therefore, when Savannah is 42 feet above the ferris wheel's horizontal diameter, her angle of rotation is approximately 68.6 degrees.

Given by the question.

Let's first draw a diagram to visualize the situation.

      *

    *    *

  *        * <-- Ferris wheel at 3 o'clock position

 *          *

*            * <-- Highest point

*______________*______

      62 ft

The Ferris wheel is a circle with radius 62 feet, and Savannah is sitting in a bucket that moves along the circle. When she is at the highest point, she is 62 feet away from the center of the circle, and when she is on the horizontal diameter, she is 62 feet - 42 feet = 20 feet away from the center of the circle.

To find Savannah's angle of rotation, we can use the cosine function.

cos(theta) = adjacent / hypotenuse

In this case, the adjacent side is 20 feet, and the hypotenuse is 62 feet.

cos(theta) = 20/62

To solve for theta, we need to take the inverse cosine of both sides.

theta = cos^-1(20/62)

Using a calculator, we get:

theta = 68.6 degrees

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Answer: x=10/9

Step-by-step explanation:

The percentage of people in the U.S. celebrate winter holidays such as hanukkah, christmas, and kwanzaa is above 90%.

This holiday season, it should be noted that that 92% of Americans will celebrate Christmas, 5% will celebrate Hanukkah, and 3% will celebrate Kwanzaa. Five percent will celebrate more than one holiday

America has come to appreciate Hanukkah. Hanukkah is celebrated by the majority of American Jews, at least with a family meal or the lighting of a menorah, and the majority of non-Jews in America are aware of the holiday.

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Answer:

n=10

Step-by-step explanation:

6=3n/5

multiply both sides by 5

30=3n

divide both sides 3

10=n

Answer:

yes

Step-by-step explanation:

The probability that the motorist must stop at both signals is 0.2, at the first signal but not the second is 0.3, and at exactly one signal is 0.7.

The probability that the motorist must stop at both signals is calculated by multiplying the probability of stopping at the first signal (0.4) and the probability of stopping at the second signal (0.5). This gives a probability of 0.2 that the motorist must stop at both signals. The probability of stopping at the first signal but not the second one is calculated by subtracting the probability of stopping at the second signal (0.5) from the probability of stopping at the first signal (0.4). This gives a probability of 0.3 that the motorist must stop at the first signal but not the second one. The probability that the motorist must stop at exactly one signal is calculated by subtracting the probability of stopping at both signals (0.2) from the probability of stopping at at least one of the two signals (0.7). This gives a probability of 0.7 that the motorist must stop at exactly one signal.

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The 3x3 elimination matrices are as follows  [1 0 0; -3 1 0; 0 0 1],  [1 0 0; 0 1 0; 0 8 1], [1 0 -1; 0 1 0; 0 0 1] and [0 0 1; 0 1 0; 1 0 0]. These matrices perform various row operations on a 3x3 matrix.

To solve a system of linear equations using elimination, we can use various elimination matrices to perform row operations on the augmented matrix. Each elimination matrix corresponds to a specific row operation.

In part, we are asked to find the elimination matrix E21 that subtracts 3 times row 1 from row 2. To do this, we write out the augmented matrix and perform the desired row operation. The result is the elimination matrix E21.

The elimination matrix E21 that subtracts 3 times row 1 from row 2 is

\(\left[\begin{array}{ccc}1&0&0\\-3&1&0\\0&0&1\end{array}\right]\)

In part, we are asked to find the elimination matrix E32 that subtracts -8 times row 2 from row 3. We again perform the desired row operation on the augmented matrix and the result is the elimination matrix E32. The elimination matrix E32 that subtracts -8 times row 2 from row 3 is

\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&8&1\end{array}\right]\)

we are asked to find the elimination matrix E31 that subtracts 1 times row 3 from row 1. We perform this row operation on the augmented matrix to obtain the elimination matrix E31.

\(\left[\begin{array}{ccc}1&0&-1\\0&1&0\\1&0&0\end{array}\right]\)

Finally, in last part, we are asked to find the elimination matrix P13 that exchanges rows 1 and 3. This is achieved by multiplying the original matrix by the permutation matrix P13, which interchanges the first and third rows.

\(\left[\begin{array}{ccc}0&0&1\\0&1&0\\1&0&0\end{array}\right]\)

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Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

F (- 4, - 6 ) → F' (4, - 6 )

G (- 4, - 3 ) → G' (4, - 3 )

H (- 3, - 4 ) → H' (3, - 4 )

Answer:

Look at picture attached

Step-by-step explanation:

I have created the graph on DESMOS. I recommend you use that website as it helps a lot with visualizing graphs :)

Edit: The second attachment shows the point you can plot.

Answer:

vertex is (6, -11)

Step-by-step explanation:

Given equation
f(x) = x² - 12x + 25

is that of an upward-facing parabola(since the coefficient of x² is positive).

The vertex will be at a minimum and its x-coordinate can be found by finding the first derivative of f(x), setting it equal to zero and solving for x

f'(x) = d/dx(x² - 12x + 25)

= 2x - 12

f'(x) = 0 ==> 2x - 12 = 0

2x = 12

x = 6

Substitute x = 6 in f(x) to get

f(6) = 6² - 12(6) + 25

= 36 - 72 + 25

= -11

So the vertex is at (6, -11)