Please help with this i am not sure if it is b

Answer:

  at x=0 (the origin)

Step-by-step explanation:

The equation for a proportional relationship is ...

  y = kx

The equation of a straight line is ...

  y = kx +b . . . . . for some y-intercept b

Comparing the proportional relation to the relation for a general line, we see that b=0 in the proportional relation. That is, the y-intercept is at y=0, the origin of the Cartesian coordinate plane.

The graph crosses the x-axis at (0, 0), or x=0.

__

Additional comment

In y=kx, the value k is called "the constant of proportionality." It is also the slope of the line on a graph.

In the usual representation of the slope-intercept equation of a line, y=mx+b, the slope of the line is represented by 'm'. In the above, we used 'k' for that purpose, to facilitate comparing the equations.

Answer:

36x^8

Step-by-step explanation:

You distribute the exponent (2) to the the coefficient (6) and the other exponent (4). When you distribute 2 to 6 you are squaring the 6.

6^2 = 6•6 = 36

Because of the power rule, you just multiply both the exponents together.

4•2 = 8

so when you put it together it looks like this: 36x^8

Using an exponential decay equation, the function that models the balance is y = 1800(1 + 0.081)⁻ˣ at a rate of 8.1%

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). An exponential function can be in one of the following forms.

In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

To solve this problem, we need to find the rate at which the payment is calculated on.

The general equation for an exponential decay is given as

A = P(1 + r)⁻ˣ

Substituting the values and solving for r

1540 = 1800(1 + r)⁻²

r = 0.081

r = 8.1%

Comparing the third month to ascertain values

1410 = 1800(1 + r)⁻³

r = 0.081

r = 8.1%

The rate which the payment is calculated is 8.1%

An exponential equation that models the balance after y months will be

y = 1800(1 + 0.081)⁻ˣ

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The curvature of the vector function \(r(t) = (t, t^2/2, t^3)\) at \(t = \sqrt2\)is given by \(\sqrt(181) / 39\sqrt39\).

To find the curvature of a curve given by the vector function r(t), we need to compute the magnitude of the curvature vector κ(t) at the specific value of t.

The curvature vector κ(t) is given by the formula:

\(k(t) = ||r'(t) x r''(t)|| / ||r'(t)||^3\)

where r'(t) and r''(t) are the first and second derivatives of r(t), respectively, and "x" denotes the cross product.

Let's compute the curvature at \(t = \sqrt2\) for the given vector function \(r(t) = (t, t^2/2, t^3):\)

Step 1: Compute r'(t):

\(r'(t) = (1, t, 3t^2)\)

Step 2: Compute r''(t):

r''(t) = (0, 1, 6t)

Step 3: Compute the cross product of r'(t) and r''(t):

\(r'(t) x r''(t) = (6t^2, -3t^2, 1)\)

Step 4: Compute the magnitude of r'(t):

\(||r'(t)|| = \sqrt(1^2 + t^2 + (3t^2)^2) = sqrt(1 + t^2 + 9t^4)\)

Step 5: Compute the magnitude of the curvature vector κ(t):

\(k(t) = ||r'(t) x r''(t)|| / ||r'(t)||^3\)

\(= ||(6t^2, -3t^2, 1)|| / (\sqrt(1 + t^2 + 9t^4))^3\)

\(= \sqrt((6t^2)^2 + (-3t^2)^2 + 1^2) / (1 + t^2 + 9t^4)^(3/2)\)

\(= \sqrt(36t^4 + 9t^4 + 1) / (1 + t^2 + 9t^4)^(3/2)\)

Now, substitute\(t = \sqrt2\) into the above expression to find the curvature at \(t = \sqrt2\):

\(k(\sqrt2) = \sqrt(36(\sqrt2)^4 + 9(\sqrt2)^4 + 1) / (1 + (\sqrt2)^2 + 9(\sqrt2)^4)^(3/2)\)

\(= \sqrt(362^2 + 92^2 + 1) / (1 + 2 + 92^2)^(3/2)\)

\(= \sqrt(144 + 36 + 1) / (1 + 2 + 94)^(3/2)\)

\(= \sqrt(181) / (1 + 2 + 36)^(3/2)\)

\(= \sqrt(181) / (39)^(3/2)\)

\(=\sqrt(181) / 39 * (1/\sqrt39)\)

\(= \sqrt(181) / 39\sqrt39\)

Therefore, the curvature  \(r(t) at t = \sqrt2\)is \(\sqrt(181) / 39\sqrt39.\)

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The measure of the angle x in the right triangle is 67 degrees.

A right angle triangle has one of its angles as 90 degrees.

The sum of angle in a triangle is 180 degrees.

Therefore,

x + 90 + 23 = 180

x + 113 = 180

x + 113 - 113 = 180 - 113

x = 67°

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Answer:

The inverse of a 2x2 matrix [a b; c d] can be calculated using the formula: (1/(ad-bc)) * [d -b; -c a].

Let’s apply this formula to matrix C = [9 7; 8 6]. The determinant of C is (96) - (78) = -14. Since the determinant is not equal to zero, the inverse of C exists and can be calculated as:

(1/(-14)) * [6 -7; -8 9] = [-3/7 1/2; 4/7 -9/14]

So the correct answer is B) The inverse matrix of C is equal to a matrix with 2 rows and 2 columns. Row 1 is negative 3 comma 3.5, and row 2 is 4 comma negative 4.5.

The correct inverse of the given matrix C which has 2 rows and 2 columns with elements [9, 7; 8, 6] is [-1, 7/6; 4/3, -3/2].

The given matrix C is a square matrix with elements [9, 7; 8, 6]. To determine the inverse of this matrix, one must perform a few algebraic steps. Firstly, calculate the determinant of the matrix (ad - bc), which is (9*6 - 7*8) = -6. The inverse of a matrix is given as 1/determinant multiplied by the adjugate of the matrix where the elements of the adjugate are defined as [d, -b; -c, a]. Here a, b, c, and d are elements of the original matrix. Thus, the inverse matrix becomes 1/-6 * [6, -7; -8, 9], which simplifies to [-1, 7/6; 4/3, -3/2]. Therefore, none of the given answers A, B, C, or D are correct.

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Answer:

x > 90

Step-by-step explanation:

To solve this, we will use the multiplication property of equality. We need to multiply both sides by 6, this will get us x > 90.

Answer:

B

Step-by-step explanation:

rate of function A: 2 (coefficient for x)

rate of function B: 2, because an increment of 1 in x (e.g. 3 to 4) yields increment of 2 in y (3 to 5)

To simplify the process of expanding a binomial of the type (a+b) n (a + b) n, use Pascal's triangle. The same numbered row in Pascal's triangle will match the power of n that the binomial is being raised to.

A triangular array of binomial coefficients known as Pascal's triangle can be found in algebra, combinatorics, and probability theory. Even though other mathematicians studied it centuries before him in India, Persia, China, Germany, and Italy, it is called after the French mathematician Blaise Pascal in a large portion of the Western world. Traditionally, the rows of Pascal's triangle are listed from row =0 at the top (the 0th row). Each row's entries are numbered starting at k=0 on the left and are often staggered in relation to the numbers in the next rows. The triangle could be created in the manner shown below: The top row of the table, row 0, contains one unique nonzero entry.

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The measure of arc CD is 4x + 15, and that the measure of angle DEA is 120 degrees, we can use the fact that the sum of the measures of the arcs in a circle is equal to 360 degrees to solve for x.

Now we can write the equation:

(6x + 5) + (4x + 15) + 240 = 360

10x + 260 = 360

Subtracting 260 from both sides:

10x = 100

Dividing both sides by 10:

x = 10

The value of x is 10, the measure of arc CD is 55 degrees, and the measure of angle DEA is 120 degrees.

Given that the measure of arc AB is 6x + 5 and the measure of arc CD is 4x + 15, and that the measure of angle DEA is 120 degrees, we can use the fact that the sum of the measures of the arcs in a circle is equal to 360 degrees to solve for x.

Let's call the center of the circle E. Since DEA is a central angle, the measure of arc DE is equal to twice the measure of angle DEA, so arc DE has a measure of 2 * 120 = 240 degrees.

Now we can write the equation:

(6x + 5) + (4x + 15) + 240 = 360

Simplifying the left side:

10x + 260 = 360

Subtracting 260 from both sides:

10x = 100

Dividing both sides by 10:

x = 10

So the value of x is 10.

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Answer:

65

Step-by-step explanation:

Answer:

7x8+9

7x8=56

56+9=65

65

Step-by-step explanation:

I might be wrong

Answer:

14.1 ounces

Step-by-step explanation:

The conversion from grams to ounces: divide the value by 28.35

-

Therefore, 400/28.35 = 14.1

So, you could also say that Tonya bought 14.1 ounces of turkey.

Answer:

107 people

Step-by-step explanation:

Their budget is $3,500 and they have to spend $70 for the clean up fee:

$3,500 - $70 = $3430

If it is $32 per person, then find out how many $32 fit into their remaining budget of $3430

$3430 ÷ $32 = 107.1875

You can't have part of a person, so the greatest number of people they can invite is 107

Answer:

the beef is settled, its itsuki or miku

Step-by-step explanation:

The function f(x) = 2(x-4x^2 + 3) represents a parabola. The constants in the function, specifically 2, -4, and 3, define different characteristics of the parabola.

1. The constant 2:

This constant represents the vertical stretch or compression of the parabola. If the constant is greater than 1, the parabola will be stretched vertically. If it is between 0 and 1, the parabola will be compressed vertically.

In this case, the constant 2 indicates that the parabola is stretched vertically by a factor of 2 compared to the standard parabola.

2. The constant -4:

This constant determines the shape of the parabola. A positive constant would make the parabola open upwards, while a negative constant would make it open downwards. In this case, the negative constant -4 indicates that the parabola opens downwards.

3. The constant 3:

This constant determines the vertical shift of the parabola. It indicates how much the parabola is shifted up or down from its standard position. In this case, the constant 3 suggests that the parabola is shifted upwards by 3 units.

By considering these constants, we can understand how they individually affect the parabola's stretch or compression, its orientation (upwards or downwards), and its vertical shift.

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          Both of these problems will be solved in a similar way, but with different numbers. First, we set up an equation with the values given. Then, we solve. Lastly, we plug into the original expressions to solve for the angles.

[23] ABD = 42°, DBC = 35°

(4x - 2) + (3x + 2) = 77°

4x+ 3x + 2 - 2  = 77°

4x+ 3x= 77°

7x= 77°

x= 11°

-

ABD = (4x - 2) = (4(11°) - 2) = 44° - 2 = 42°

DBC = (3x + 2) = (3(11°) + 2) = 33° + 2 = 35°

[24] ABD = 62°, DBC = 78°

(4x - 8) + (4x + 8) = 140°

4x + 4x + 8 - 8 = 140°

4x + 4x = 140°

8x = 140°

8x = 140°

x = 17.5°

-

ABD = (4x - 8) = (4(17.5°) - 8) = 70° - 8° = 62°

DBC =(4x + 8) = (4(17.5°) + 8) = 70° + 8° = 78°

Answer:

Ratio of the volume of cylinder a to the volume of cone b is \(27 \colon 2\) .

Step-by-step explanation:

Let radius of cone b be r. Then the radius of cylinder a is \(3r\).

Let height of the cone b be \(h\), then the height of the cylinder a is \(\frac{h}{2}\).  

Volume of a cone b = \(\frac{1}{3} \times \pi \times r^2 \times h\)

Volume of cylinder a = \(\pi \times R^2 \times H\)

                                  \(= \times \pi \times (3r)^2 \times \frac{h}{2}\)

                                 \(= \pi \times 9r^2 \times \frac{h}{2}\)

Ratio of the volume of cylinder a to the volume of cone b

                                       \(= \frac{volume \ of \ cylinder \ a}{volume \ of \ cone \ b}\)

                                     \(= \frac{\pi \times 9r^2 \times \frac{h}{2}}{\frac{1}{3} \times \pi \times r^2 \times h}\)

                                      \(= \frac{27}{2}\)

\(\therefore\) Ratio of the volume of cylinder a to the volume of cone b is \(27 \colon 2\) .    

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Angle 2 and angle of 34° are vertical angles, then they are congruent, that is,

Angle 6 and angle of 34° are corresponding angles, then they are congruent, that is,

Angle 4 and angle of 34° are alternate interior angles, then they are congruent, that is,

Angle 7 and angle of 34° are same-side interior angles, then they are supplementary, that is,

Angles 4 and 3 are same-side interior angles, then they are supplementary, that is,

Angles 7 and 5 are vertical angles, then they are congruent, that is,

Angles 1 and 3 are vertical angles, then they are congruent, that is,

Answer: 23/42

Step-by-step explanation:  

your messageHELP URGENT !!!A bag contains 16 red marbles, 7 yellow marbles, and 19 green marbles. What is the probability that a marble drawnfrom the bag is red or yellow? Write your answer as a simplifed fraction.Sure, I can help you with that! The probability of drawing a red marble is 16/42 (since there are 16 red marbles out of a total of 42 marbles), and the probability of drawing a yellow marble is 7/42. To find the probability of drawing a red or yellow marble, we simply add those two probabilities: 16/42 + 7/42 = 23/42 So the probability of drawing a red or yellow marble is 23/42, which is already in simplified fraction form.

The standard deviation of the random errors from the given statement.

The given statement does not provide enough information to determine the standard deviation of the random errors. The standard deviation is a measure of the spread of a dataset, and to calculate it, we need to know the values of the dataset, the mean of the dataset, and the number of values in the dataset. The statement only provides the values in the dataset but does not give any information about the mean or the number of values. Therefore, we cannot determine the standard deviation of the random errors from the given statement.

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You can ride the slide 7 times with the amount of  $15, allowing you and your three friends to enjoy this ride multiple times without breaking the bank.

To calculate how many times you and your three friends can ride the slide with $15, we must first determine the cost of the slide. The slide costs $2.00. Next, we can divide the total amount of money, $15, by the cost of the slide, $2.00. This gives us 7.5. Since we cannot ride the slide 0.5 times, we must round down to the nearest whole number, which is 7. Therefore, with $15 you and your three friends can ride the slide 7 times.

$15 / $2.00 = 7.5

Rounded down to nearest whole number = 7

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Answer:

4 pizzas are needed.

Step-by-step explanation:

See image. You could totally think this through and use mental math to figure out how many pizzas are needed. See first image. Picture a pizza, cut it into 6 slices. It feeds 6 people. 2 pizzas feed 12 people. 3 pizzas feed 18 people. 4 pizzas feed 24 people.

If you have to write equations and show math work, you can write a single-variable equation or use a proportion. See image.

The range of the function is −7 ≤ y ≤ 4, option A is the correct answer.

An established link between an independent variable (x) and a dependent variable is represented by a function in mathematics (y). A function's range includes all conceivable values for y. Y = f is the formula to determine a function's range (x). It is only a function in a relation if each x value has exactly one y value.

The range of the function are the output values, or the y-coordinates of the graph.

For the given function the y-coordinates are y = 4 and y = -7.

Hence, the range of the function is −7 ≤ y ≤ 4, option A is the correct answer.

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The statement (g) "The equation Ax = b has at least one solution for each b in R^n" is equivalent to the statement (a) "A is an invertible matrix". To prove this, we need to show that if (g) is true, then (a) is also true, and if (a) is true, then (g) is also true.

Assume that (g) is true, i.e., the equation Ax = b has at least one solution for each b in R^n. Let x be the solution of Ax = 0, which exists since the null space of A is not empty.

Then, for any b in R^n, the equation Ax = b can be written as Ax = b + 0, which implies that x is also a solution of Ax = b + 0. Therefore, the equation Ax = b has a unique solution for each b in R^n, which means that A is invertible.

Assume that (a) is true, i.e., A is invertible. Then, the equation Ax = 0 has only the trivial solution, which means that the columns of A form a linearly independent set. Moreover, since A is invertible, its columns span R^n.

Therefore, the columns of A form a basis for R^n. Now, let b be any vector in R^n. Since the columns of A form a basis for R^n, there exist scalars c1, c2, ..., cn such that b = c1a1 + c2a2 + ... + cnan, where ai is the ith column of A. This equation can be rewritten as Ax = b, which implies that the equation Ax = b has at least one solution. Hence, (g) is true.

Therefore, we have shown that (g) is equivalent to (a).

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Answer:

एगगतुजवषषहजजतददबुतचजोजचउतहनुुचचहह

The vertex form of a quadratic function is:

The standard form of a quadratic function is:

We can do the following steps to solve the exercise.

Step 1: We replace the values of h,k, x, and y into the vertex form of a quadratic equation, and we solve for a.

Step 2: We replace the values of a,h, and k into the vertex form of a quadratic equation.

Step 3: We expand the expression inside the parentheses and combine like terms to convert the function into its standard form.

The equation of the graph in standard form is:

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.