Send total home runs during the baseball season for over five other home runs during the first half of the season what is the fraction of home run hit through and a half of the season as a decimal

The point that is located at the ordered pair (4, -2) is given as follows:

Point B.

The general format of an ordered pair is given as follows:

(x,y).

In which the coordinates are given as follows:

On the coordinate plane, we have that:

Hence the coordinates for this problem are given as follows:

A(-2, 4), B(4, -2), C(-4, 2) and D(2, -4).

The graph is given by the image presented at the end of the answer.

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Answer:

25 miles per gallon

Step-by-step explanation:

Because if 2 gallons is 50 miles then one gallon has to be 25 miles per gallon

Answer:

138

Step-by-step explanation:

ggyugfxxffyuuugxhuu

To orthogonally diagonalize a matrix A, we need to find a matrix P such that P^T * A * P is a diagonal matrix. Here's how you can find such a matrix P:

1. Find the eigenvalues of A.

2. For each eigenvalue, find its corresponding eigenvector.

3. Form a matrix P by arranging the eigenvectors as columns.

4. Verify that P^T * A * P is a diagonal matrix.

Let's go through the steps to find the matrix P for a given matrix A.

1. Find the eigenvalues of A:

  Let's assume A is the matrix provided.

  A = [[a, b],

       [c, d]]

  To find the eigenvalues, we solve the characteristic equation:

  |A - λI| = 0, where λ is the eigenvalue and I is the identity matrix.

  |A - λI| = |[[a, b],

                [c, d]] - [[λ, 0],

                            [0, λ]]|

           = |[[a - λ, b],

                [c, d - λ]]|

  Determinant of A - λI must be equal to 0:

  (a - λ)(d - λ) - bc = 0

  λ^2 - (a + d)λ + (ad - bc) = 0

  Solve this quadratic equation to find the eigenvalues λ1 and λ2.

2. Find the corresponding eigenvectors:

  For each eigenvalue, substitute it back into (A - λI) * v = 0 and solve for v. Normalize the eigenvectors if necessary.

3. Form matrix P:

  Arrange the eigenvectors as columns to form matrix P.

4. Verify diagonalization:

  Calculate P^T * A * P. If the result is a diagonal matrix, then P orthogonally diagonalizes A.

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Answer:

hope this helps

Step-by-step explanation:

PLZZZ MARK BRAINLIEST

a) g(t) is increasing on the interval (-∞, 5/8) and decreasing on the interval (5/8, ∞).

b) The local minimum of g(t) is at t=5/8. The absolute minimum or maximum, are -∞ and ∞

c) The absolute maximum of f(x) on the interval [6,9] is 78, which occurs at x=6, and the absolute minimum is 27, which occurs at x=9.

A) To find the intervals where the function g(t)=4t^2−5t−1 is increasing and decreasing, we need to determine the sign of its first derivative g'(t). Taking the derivative of g(t), we get:

g'(t) = 8t - 5

To find where g'(t) is positive and negative, we can set it equal to zero and solve for t:

8t - 5 = 0

t = 5/8

This means that g(t) is increasing on the interval (-∞, 5/8) and decreasing on the interval (5/8, ∞).

B) To identify the local and absolute extreme values of g(t), we need to look at the critical points and endpoints of the interval. Since g'(t) is a linear function, it has only one critical point at t=5/8. This means that this is the location of the local minimum of g(t).

To find the absolute minimum or maximum, we need to compare the values of g(t) at the endpoints of the interval, which are -∞ and ∞. Since the function approaches positive infinity as t approaches infinity and negative infinity as t approaches negative infinity, it has no absolute maximum or minimum.

C) To find the absolute extrema of f(x)=(12+x)(12−x) on the interval [6,9], we first find the critical points of f(x) by setting its derivative equal to zero:

f'(x) = -2x + 24 = 0

x = 12

This critical point is inside the interval [6,9], so we also need to evaluate the function at the endpoints of the interval. We get:

f(6) = 78

f(9) = 27

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Answer:

7/5, or 1 2/4 in mixed number form

Step-by-step explanation:

Hi!

Alrighty so

Because it says how many cans did she use in all, this means that you are just going to add those two together

Your answer is going to be 7/5, or 1 2/4 in mixed number form, or 1.4 in decimal form.

Hope I helped!

Answer:

Measure of angle B is 70 degrees

Step-by-step explanation:

If they are both supplementary, it means that add up to be 180 degrees

Thus;

5x + 25 + 3x + 19 = 180

8x + 44 = 180

8x = 136

x = 136/8

x = 17

Measure of angle B will be;

3(17) + 19

= 51 + 19 = 70 degrees

The sum between the functions:

f(x) = 3x² - 2x + 6

g(x) = 7x - 4

is (f + g)(x) = 3x² + 5x + 2

Here we have two functions which are:

f(x) = 3x² - 2x + 6

g(x) = 7x - 4

And we want to add these to get f + g,  so we only need to add the two functions, we will get:

f(x) + g(x) = (3x² - 2x + 6) + (7x - 4)

Grouping like terms we will get:

(3x² - 2x + 6) + (7x - 4) = (3x²) + (-2x + 7x) + (6 - 4)

And now we can simplify that to get:

(3x²) + (-2x + 7x) + (6 - 4) = 3x² + 5x + 2

The sum is:

(f + g)(x) = 3x² + 5x + 2

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Answer: their bank balance would be

- 64.49

Step-by-step explanation:

They have 100 in savings and 121.50 in their bank account. It means that the total amount that they have to buy the freezer is

100 + 121.5 = 221.5

The cost of the freezer is 285.99. If they buy the freezer, the amount that would be left in their bank account or the bank balance would be

221.5 - 285.99 = - 64.49

The negative value is due to the face that they the cost of the freezer is higher than what they have in total.

When Todd says that he used 718 feathers to make the cat toys, it does not sound right.

To solve this problem, we have to state the equations using the information of the problem

Information about the problem:

Calculating how many feathers Todd should use to made 198 cat toys:

Total feathers = No. of toys * No. feather per toy

Total feathers = 198 toys  * 6 feather/ toy

Total feathers = 1188 feathers

With the calculate we can confirm that Todd's calculate is not right because:

Total feathers > Todd's calculated

1188 feathers > 718 feathers

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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Answer:

a = r + d - c

Step-by-step explanation:

a + c = r + d

You want a alone on the left side. c is being added to a.

To get rid of the c, you must subtract c from the left side, but the rule of equations is that you must do the same operation to both sides of the equation. We subtract c from both sides of the equation.

a + c - c = r + d - c

c - c = 0, so the c is eliminated from the left side.

We now have

a + 0 = r + d - c

a = r + d - c

Answer:

a = r + d - c

Step-by-step explanation:

All we do is transpose c to the other side to isolate a.

Answer:

Range: {-4, 3, 5}

Step-by-step explanation:

The range of a function includes all the set of possible output, or y-values in a given data set of a function.

Thus, the range of the function, {(2, 3), (-3, 5), (6, -4)} includes 3, 5, and -4.

This can be written as:

Range: {-4, 3, 5}

Answer:

3rd one down

Step-by-step explanation:

(1,5), (2,9), (3,13), (4,17)

The table C is Solution for the Equation.

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. LHS = RHS is a common mathematical formula.

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:

Equation: y= 4x+ 1

When x= 1

y = 5

and, x= 2

y= 8 + 1= 9

and, x= 3

y= 12 + 1= 13

and, x=4

y = 16 + 1 = 17

Thus, the solution for the Equation is (1, 5), (2, 9), (3, 13) and (4, 17).

Hence, the table C is Solution for the Equation.

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Answer:

c. the solution is 3 times as large as 6x(365x12)

Step-by-step explanation:

c. the solution is 3 times as large as 6x(365x12)

Slope of line 1 is -4/3, slope of line 2 is 3/4, slope of line 3 is 3/4, and  Line 1 and Line 2 are perpendicular, Line 1 and Line 3 are also perpendicular, Line 2 and Line 3 are parallel.

What is slope of a line?

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate points and calculating the slope of a line are related tasks. In general, we require the values of any two separate coordinates on a line in order to determine its slope.

Slope of a line can be calculated using the formula:

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

Here, m = slope and (x1, y1), (x2, y2) are two points on the line,

Calculating the slope of line 1 whose points are (-3, 8), (0, 4)

\(m = \frac{4 - 8}{0 - (-3)}\)

m = -4/3

Calculating the slope of line 2 whose points are (4, 4), (-4, -2)

\(m = \frac{-2 - 4}{ -4 - 4}\)

m = 3/4

Calculating the slope of line 2 whose points are (4, 1), (8, 4)

\(m = \frac{4 - 1}{ 8 - 4}\)

m = 3/4

Now we know that if lines are parallel that their slope is equal and when lines are perpendicular the product of their slope is -1,

Therefore, Line 1 and Line 2 are perpendicular, Line 1 and Line 3 are also perpendicular, Line 2 and Line 3 are parallel.

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The correct option b. 0.004629 for  the probability of observing a 1 three times in a row.

Probability of an event = (Number of favorable events) /   (total number of event).

P(B) = (Event B) / (total number of event).

The number of times the dice are rolled has no bearing on the outcome of the roll.

The likelihood of receiving 1 is 1/6.

The likelihood of obtaining 1 three times in a row is equal to the likelihood of getting 1 the first time, the second time, and the third time.

Receiving 1 three times in succession has a probability;

= 1/6 x 1/6 x 1/6

= 1/216.

As a result, there is a 0.463% chance that you'll get 1 three times in a row.

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For the initial value problem y' = 0; y(1) = 1, the solution is y = 1. Since the derivative of y with respect to x is zero, the function y remains constant, and the constant value is determined by the initial condition y(1) = 1.

For the initial value problem y' = 2xy - y; y(0) = 2(0) + 1 = 1, we can rewrite the equation as y' + y = 2xy. This is a first-order linear homogeneous differential equation. Using an integrating factor, we multiply the equation by e^x^2 to obtain (e^x^2)y' + e^x^2y = 2x(e^x^2)y. Recognizing that the left side is the derivative of (e^x^2)y, we can integrate both sides to get the solution y = Ce^x^2, where C is determined by the initial condition y(0) = 1. For the initial value problem y' = 2y; y(1) = -1, we can separate the variables and integrate to find ln|y| = 2x + C, where C is the constant of integration. Exponentiating both sides gives |y| = e^(2x+C), and since e^(2x+C) is always positive, we can remove the absolute value signs. Thus, the solution is y = Ce^(2x), where C is determined by the initial condition y(1) = -1.

For the initial value problem dy = y^2x - x; y(0) = 0, we can separate the variables and integrate to find ∫dy/y^2 = ∫(yx - 1)dx. This gives -1/y = (1/2)y^2x^2 - x + C, where C is the constant of integration. Rearranging the equation gives y = -1/(yx^2/2 - x + C), where the constant C is determined by the initial condition y(0) = 0. For the initial value problem y' = ety; y(0) = 0, we can separate the variables and integrate to find ∫e^(-ty)/y dy = ∫e^t dt. The integral on the left side does not have a closed-form solution, so the explicit solution cannot be expressed in elementary functions. However, numerical methods can be used to approximate the solution for specific values of t.

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Answer:

16 + 6pi cm

Step-by-step explanation:

We have a square of length 4 cm

A = s^2 = 4^2 = 16

We have 3 semi circles

with radius 2

A semi circle has an area of

1/2 pi r^2 = 1/2 pi (2)^2 = 1/2 (4pi) = 2pi

There are 3 of them

3 * 2 pi = 6pi

Add the areas together for the square and the semicircles

16 + 6pi

Answer:
(6pi + 4) cm^2

Or just A/ first option

Answer:

A difference is that a linear line is straight and a non linear is not

Answer:

13.187 meters

Step-by-step explanation:

Basically, there are 24 meters for every 91 steps: \(\frac{24}{91}\)

There are x meters for every 50 steps: \(\frac{x}{50}\)

\(\frac{24}{91} =\frac{x}{50}\)

Cross multiply

91x = 1200

Divide both sides by 91 to isolate the variable, x

91x/91 = 1200/91

x = 13.186813

By using sum or difference formulas, cos(-a) can be written as - cos(a). Explanation: We know that cosine is an even function of x, therefore,\(cos(-x) = cos(x)\) .Then, by using the identity \(cos(a - b) = cos(a) cos(b) + sin(a) sin(b)\), we can say that:\(cos(a - a) = cos²(a) + sin²(a).\)

This simplifies to:\(cos(0) = cos²(a) + sin²(a)cos(0) = 1So, cos(a)² + sin(a)² = 1Or, cos²(a) = 1 - sin²\)(a)Similarly,\(cos(-a)² = 1 - sin²(-a)\) Since cosine is an even function, \(cos(-a) = cos(a)\) Therefore, \(cos(-a)² = cos²(a) = 1 - sin²(a)cos(-a) = ±sqrt(1 - sin²(a))'.\)

This is the general formula for cos(-a), which can be written as a combination of sine and cosine. Since cosine is an even function, the negative sign can be written inside the square root: \(cos(-a) = ±sqrt(1 - sin²(a)) = ±sqrt(sin²(a) - 1) = -cos\).

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Answer:

9y^2 + 9x - 18 or 9(y^2 + x - 2)

Step-by-step explanation:

9(y^2+x)=18

9y^2 + 9x=18

9y^2 + 9x - 18 = 0

9(y^2 + x - 2) = 0

To show the given equations, we can convert the complex numbers to their exponential form, perform the necessary operations, and then convert the result back to rectangular coordinates. By following this approach, we can demonstrate that (a) i(1 - √3i)(√3 + i) = 2(1 + √3i) and (b) 5i/(2 + i) = 1 + 2i.

(a) To solve i(1 - √3i)(√3 + i) = 2(1 + √3i):

1 - √3i can be written in exponential form as √4e^(-π/3i) = 2e^(-π/6i).

√3 + i can be written as 2e^(π/6i).

So, i(1 - √3i)(√3 + i) becomes i * 2e^(-π/6i) * 2e^(π/6i).

By multiplying the exponential factors, we get 2 * i * i = 2 * (-1) = -2.

Converting -2 back to rectangular coordinates, we have -2 = 2(-1 + 0i), which simplifies to -2 = -2.

(b) To solve 5i/(2 + i) = 1 + 2i:

We can multiply the numerator and denominator by the conjugate of the denominator, which is 2 - i.

The expression becomes (5i * (2 - i)) / ((2 + i) * (2 - i)).

Simplifying the numerator, we have 10i - 5i^2 = 5i + 5 = 5(1 + i).

In the denominator, (2 + i) * (2 - i) = 4 - i^2 = 4 + 1 = 5.

So, the expression becomes (5(1 + i)) / 5.

Canceling out the 5, we are left with 1 + i, which is equivalent to the right-hand side of the equation.

By following the steps outlined above, we have shown that (a) i(1 - √3i)(√3 + i) = 2(1 + √3i) and (b) 5i/(2 + i) = 1 + 2i.

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a. One solution

b. Infinitely many solutions

c. Infinitely many solutions

d. h = 9, k = 9 for infinitely many solutions

1. The solution set of the augmented matrix is {(-2, 1, 3)}. It has one solution.

2. The solution set of the augmented matrix is {(-6t - 7, 5t, 6t - 19)}, where t is a parameter. It has infinitely many solutions.

3. The solution set of the augmented matrix is {(-s - t, s, t)}, where s and t are parameters. It has infinitely many solutions.

4. To have infinitely many solutions, the system of equations must be dependent, which means the determinant of the coefficient matrix must be zero.

Determinant of the coefficient matrix:

|1 3|

|3 k|

Setting the determinant to zero and solving for k:

(1)(k) - (3)(3) = 0

k - 9 = 0

k = 9

Thus, the values of h and k for the system to have infinitely many solutions are h = 9 and k = 9.

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The magnitude and direction of the acceleration as the ball goes up is a negative value (opposite direction of motion), while the magnitude and direction of the acceleration as the ball goes down is a positive value (same direction as motion).

When the ball goes up, its initial velocity decreases due to the opposing force of gravity. The acceleration experienced by the ball is directed downwards, opposing the ball's upward motion. The magnitude of the acceleration can be determined using the kinematic equation:

[ v^2 = u² + 2as \]

where \( v \) is the final velocity, \( u \) is the initial velocity, \( a \) is the acceleration, and \( s \) is the displacement. Since the ball is moving upward, the final velocity (\( v \)) will be zero at the highest point. Therefore, we can rewrite the equation as:

[ 0 = u² - 2as \]

Solving for acceleration (\( a \)), we get:

[ a = \frac{{u²}}{{2s}} \]

Substituting the given values (initial position = 6.3 m, initial velocity = 1.0 m/s), we can calculate the magnitude of the acceleration.

[ a = \frac{{(1.0 \, \text{m/s})^2}}{{2 \cdot 6.3 \, \text{m}}} \]

[ a \approx 0.0794 \, \text{m/s}² \]

The negative sign indicates that the acceleration is in the opposite direction of motion, which is downward.

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Answer is 3

Step-by-step explanation:

first what you do is you rearrange the numbers so the eqaution is -2x+4=-2

SO what you do is (4) - 4 to cancel it out then you do the same thing on the other side so (-2)-4=-6 so the equation now is -2x=-6 then you divide -2 to cancel it out and you do the same thing -6 divide by -2 is 3 so the answer is 3