For the past three months Grace used her cell phone for 43 minutes 62 minutes and 57 how many minutes would she have to use her cell phone this month for the average usage over the 4 months to be 55 minutes

We want to translate from point (- 4, - 6) to (- 6, - 12)

If we translate a point with coordinates, (x, y) by c units to the left and d units downwards, the new coordinates would be (x - c, y - d)

Looking at the given points,

- 4 - 2 = - 6

- 6 - 6 = - 12

Thus, the point was translated by 2 units to the left and 6 units downwards

Considering the given graph of the function, we have that:

To find the numeric value of the function, we get a value of x(horizontal axis), and then look at the corresponding value y(vertical axis), then y = f(x).

In the graph of this function, we have that when x = 1, y = -3, hence:

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Answer:

See below

Step-by-step explanation:

"Like terms" are terms with the same variable or exponents.

You can add or subtract these just like you would with regular numbers.

Examples:

2x + 4x = 6x

5xy + 7xy = 12xy

6\(x^{2}\) + 5\(x^{2}\) = 11\(x^{2}\)

Let me know if you need more examples or have any questions :)

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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Answer:XDDXXDXD

DXDXXDXDDXDXDXDXXDDXDEDXXDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-XDDXDXDXstep explanation:

seria tu cacá XDXDXDXDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD

For the given conditions convention B attendance is decreasing at a greater rate.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that, the number of people attending convention A can be modeled by the function as,

f(x) = 1200 • 0.95ˣ

where x is the number of years that the convention has been occurring.

The number of people attending convention A in year 1,

f(x) = 1200 × 0.95¹

f(x) = 1140

The number of people attending convention A in year 2,

f(x) = 1200 × 0.95²

f(x) = 1083

The number of people decreasing in the Convention A,

=1140 - 1083

=57

If the number of people attending Convention B was 2200 in year 1 and 2100 in year 2. The number of people decreasing in the Convention B,

=2200-2100

=100

Thus, for the given conditions convention B attendance is decreasing at a greater rate.

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Answer:

x=4

Step-by-step explanation:

Answer:

9/3=3

12/3=4

step-by-step explanation:

I think it's four but sorry if its not

Answer:

(x, y) → (x + 8, y - 3)

Step-by-step explanation:

To find the rule of translation, we can find one point on both figures to calculate the change in the x-axis and y-axis.

Let's say we take the point D (0, -1).

(-1, 0) → (7, -3)

Change in x = 7-(-1)

                    = 7 + 1

                    = 8

Change in y = -3-0

                    = -3

Thus, the change is (x + 8, y - 3)

a. The bank can initially lend out $15.00.

b. The money in the economy changes by $20.00.

c. The money multiplier is 4.

d. Eventually, $80.00 will be created by the banking system from Jon's $20.00.

Let us analyze each section separately:

a. To calculate the amount of money the bank can initially lend out, we need to determine the bank's reserves.

Given that the bank keeps 25% of its money in reserves, we can find the reserves by multiplying the deposit amount by 0.25.

In this case, the deposit amount is $20.00, so the reserves would be $20.00 * 0.25 = $5.00. The remaining amount, $20.00 - $5.00 = $15.00, is the money that the bank can initially lend out.

b. When Jon deposits the $20.00 bill into the bank, the money in the economy remains unchanged because the physical currency is converted into a bank deposit. Therefore, there is no change in the total money supply in the economy.

c. The money multiplier determines the overall increase in the money supply as a result of fractional reserve banking. In this case, the reserve requirement is 25%, which means that the bank can lend out 75% of the deposited amount.

The formula to calculate the money multiplier is 1 / reserve requirement. Substituting the value, we get 1 / 0.25 = 4.

Therefore, the money multiplier is 4.

d. To calculate the amount of money created by the banking system, we multiply the initial deposit by the money multiplier. In this case, Jon's initial deposit is $20.00, and the money multiplier is 4.

So, $20.00 * 4 = $80.00 will be created by the banking system from Jon's $20.00 deposit.

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Answer:0.3

it is very easy wants you connect with math

Given:

The equation is

\(\sin\left(x+\dfrac{7\pi}{2}\right)=-\dfrac{\sqrt{3}}{2}\)

To find:

The solutions of given equation over the interval \([0,2\pi]\).

Solution:

We have,

The equation is

\(\sin\left(x+\dfrac{7\pi}{2}\right)=-\dfrac{\sqrt{3}}{2}\)

\(\sin\left(x+\dfrac{7\pi}{2}\right)=-\sin \dfrac{\pi }{3}\)

\(\sin\left(x+\dfrac{7\pi}{2}\right)=\sin (-\dfrac{\pi }{3})\)

If \(\sin x=\sin y\), then \(x=n\pi +(-1)^ny\).

Over the interval \([0,2\pi]\).

\(x+\dfrac{7\pi}{2}=4\pi-\dfrac{\pi }{3}\) and \(x+\dfrac{7\pi}{2}=5\pi+\dfrac{\pi }{3}\)

\(x=\dfrac{11\pi }{3}-\dfrac{7\pi}{2}\) and \(x=\dfrac{16\pi}{3}-\dfrac{7\pi}{2}\)

\(x=\dfrac{22\pi-21\pi }{6}\) and \(x=\dfrac{32\pi-21\pi }{6}\)

\(x=\dfrac{\pi}{6}\) and \(x=\dfrac{11\pi }{6}\)

Therefore, the two solutions are tex]x=\dfrac{\pi}{6}\) and \(x=\dfrac{11\pi }{6}\).

Answer:

C. π/6 & 11π/6

Step-by-step explanation:

If you graph the equation ( Sin (x+7π/2)=-√3/2) and look between 0 & 2π, you'll see that the lines intersect the x-axis at π/6 & 11π/6.

The equation Monique, Clarence, Jose and Quincy linear graph is y = (-1/2)x, y = (1/2)x, y = 1.5x + 1 and y = -1.5x - 1 respectively

An equation is an expression that shows the relationship between two or more numbers and variables.

The slope intercept form of a line is:

y = mx + b

where m is the slope and b is the y intercept

Monique graph passes through (0, 0) and (2, -1). Hence:

y - 0 = [(-1 - 0)/(2 - 0)](x - 0)

y = (-1/2)x

Clarence graph passes through (0, 0) and (2, 1). Hence:

y - 0 = [(1 - 0)/(2 - 0)](x - 0)

y = (1/2)x

Jose graph passes through (0, 1) and (-2, -2). Hence:

y - 1 = [(-2 - 1)/(-2 - 0)](x - 0)

y = 1.5x + 1

Quincy graph passes through (0, -1) and (-2, 2). Hence:

y - (-1) = [(2 - (-1))/(-2 - 0)](x - 0)

y = -1.5x - 1

The equation Monique graph is y = (-1/2)x

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Answer:

61

Step-by-step explanation:

marque esta respuesta como la más inteligente

When using the elimination method to find a general solution for the given linear system, the differentiation is with respect to t, at a.  \(C . 1 e^{-2} t + C^{2}  e^6t\)

The given linear system is x' = 2x-yy' = 2y-16x

To solve this problem by the elimination method, we eliminate x and solve the remaining differential equation for y.x' = 2x-yy' = 2y-16x

Differentiate the first equation with respect to t is 2x'-y' = 2x''

Differentiate the second equation with respect to t is 2y'-16x' = 2y''

Substitute the value of x' from the first equation to the second equation is 2y'-16(2x-y) = 2y''y''-4y'+8x = 0

This is a homogeneous linear differential equation with constant coefficients. The characteristic equation is \(r^2\)-4r+8 = 0

Using the quadratic formula r = -b ± √(\(b^2\) - 4ac)/2a= 2 ± √(-12)/2= 2 ± 2i

We can now write the general solution y(t) = \(C . 1 e^{-2}  t cos 2t + C . 2 e^{-2}t\) sin 2t = \(C . 1 e^{-2} t + C^{2}  e^6t\)

Therefore, option a is the correct answer.

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Answer:

4x+3y-23=0

Step-by-step explanation:

4x+3y-23=23-23

4x+3y-23=0

The tangential component of acceleration is \(18t^3 / \sqrt{(9t^4 + 2)}\)

We need to take the derivative of velocity with respect to time:

\(r(t) = ti + t^3j + tk\)

\(v(t) = r'(t) = i + 3t^2j + k\)

\(a(t) = v'(t) = 6tj\)

The tangential component of acceleration is the component of acceleration that is in the direction of the velocity vector. In other words, it is the projection of the acceleration vector onto the velocity vector.

To find the tangential component of acceleration, we need to project the acceleration vector onto the velocity vector.

The dot product of the acceleration vector and the unit vector in the direction of the velocity vector gives the tangential component of acceleration.

The velocity vector is \(i + 3t^{2j} + k\) which has a magnitude of \(\sqrt{(1 + 9t^4 + 1)} = \sqrt{(9t^4 + 2)}.\)

The unit vector in the direction of the velocity vector is \((1/\sqrt{(9t^4 + 2)} ) * (i + 3t^{2j} + k)\).

The dot product of the acceleration vector and the unit vector in the direction of the velocity vector is:

\(a(t) . (1/\sqrt{(9t^4 + 2)} ) * (i + 3t^{2j} + k) = 6t * (3t^2 /\sqrt(9t^4 + 2)} ) = 18t^3 / \sqrt{(9t^4 + 2)}\)

Therefore, the tangential component of acceleration is \(18t^3 / \sqrt{(9t^4 + 2)}\)

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Answer:

x=7

Step-by-step explanation:

have a great day :D

At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

We can use the chain rule to find the derivative of y = sin(f(x^2)) with respect to x:

dy/dx = cos(f(x^2)) * d/dx[f(x^2)]

To find d/dx[f(x^2)], we can use the chain rule again:

d/dx[f(x^2)] = f'(x^2) * d/dx[x^2] = 2xf'(x^2)

So, putting it all together:

dy/dx = cos(f(x^2)) * 2xf'(x^2)

At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.

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Answer:

4 ounces per bag

Step-by-step explanation:

1. Divide 2 pounds into 8 bags (0.25)

2. To convert from pounds to ounces, multiply by 16 (4)

Answer:

C

Step-by-step explanation:

The y-intercept is approximately 191.1. The correct option is (B).

To compute the y-intercept, we need to use the equation of the regression line, which is:

y = a + bx

where a is the y-intercept, b is the slope, x is the independent variable (in this case, x-bar), and y is the dependent variable (in this case, y-bar).

The formula for the slope of the regression line is:

b = r * (sy/sx)

where r is the correlation coefficient, sx is the standard deviation of x, and sy is the standard deviation of y.

Substituting the given values, we get:

b = 0.341 * (37/12) = 1.05025

Now, we can use the formula for the y-intercept:

a = y-bar - b * x-bar

Substituting the given values, we get:

a = 251 - 1.05025 * 57 = 191.10925

Therefore, the y-intercept is approximately 191.1.

The answer is B) 191.1.

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Factor when dividing the function the remainder is zero. The factorized form of the function \(f(x)=-3x^3+12x^2\) is -3x²(x-4).

A factor of a function is a factor which when multiplied by another the result is the function itself.

We know that in order to factorize a function of the third-order, we need to take the common terms out from the expression,

\(f(x)=-3x^3+12x^2\)

Taking -3x² as the common terms out of the entire function,

\(\begin{aligned}f(x)&=-3x^3+12x^2\\\\&=-3x^2(x-4)\end{aligned}\)

Hence, the factorized function \(f(x)=-3x^3+12x^2\) is -3x²(x-4).

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Answer:

1) 8²⁰ / 2⁸

Step-by-step explanation:

(8⁻⁵ / 2⁻²)⁻⁴

multiply the exponents

-5 • -4 = 20 → 8²⁰

-2 • -4 = 8 → 2⁸

8²⁰ / 2⁸

the exact formula for X(n) is given by the sum of i from 1 to 4n + 1. The closed-form formula for X(n) is (4n + 1)(4n + 2)/2, expressed as a polynomial function. The asymptotic value of X(n) is approximately 4n^2, representing the growth rate as n approaches infinity.

(i) The exact formula for X(n) can be determined by analyzing the procedure PrintXs(n) and counting the number of times the letter "X" is printed. In this case, the outer loop runs for 4n + 1 iterations, and for each iteration, the inner loop runs i times. Thus, the total number of "X" letters printed is given by the sum of i from 1 to 4n + 1.

(ii) To express X(n) as a closed-form polynomial function, we can simplify the sum mentioned above. By using the formula for the sum of an arithmetic series, the closed-form formula for X(n) can be written as X(n) = (4n + 1)(4n + 2)/2.

(iii) The asymptotic value of X(n) can be expressed using the e-notation, which represents an estimate of the growth rate. In this case, as n approaches infinity, the dominant term in the expression (4n + 1)(4n + 2)/2 is 4n^2. Therefore, we can express the asymptotic value of X(n) as X(n) ~ 4n^2.

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Answer:

10

Step-by-step explanation:

All other tens values are too far

Answer:

10

Step-by-step explanation:

The two consecutive integers whose squares have a difference of 279 is 140 and 139.

The uninterrupted series of integers is represented by consecutive meaning in mathematics. It implies that the numbers are continuously following one another in a series. First, we must comprehend the idea of predecessors and successors in order to comprehend the consecutive meaning of consecutive numbers in mathematics. The number that is written immediately before the number is referred to as the predecessor. As opposed to successors, which refer to the number that follows the number. Think about the range 4, 5, 6, and 7. In this case, 4 comes before 5, while 6 comes after 5.

Let us suppose a number = x.

The consecutive number is given as (x - 1)

Two consecutive integers whose squares have a difference of 279, is given as:

x² - (x - 1)² = 279

x² - x² + 2x - 1 = 279

2x - 1 = 279

2x = 280

x = 140

x - 1 = 140 - 1 = 139

Hence, the two consecutive integers whose squares have a difference of 279 is 140 and 139.

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