A small object at rest on a frictionless surface is attached to a wall by a frictionless spring. The object is pulled away from the wall to stretch the spring and
then released. The graph shows the displacement d, in centimeters, of the object from its resting position as a function of time t, in seconds, as the object
oscillates. Which of the following statement(s) is/are true?

Answer:

not sure

Step-by-step explanation:

I'm not sure how to do this guys I am very sorry for the inconvenience

Step-by-step explanation:

brother or sister whoever you are, please try to post the full question.

The geometric description of the subspace W of R³ is a line. This can be observed from the given set W, which consists of three-dimensional vectors of the form (5t, t, t), where t is a real number.

All the vectors in W have the same x-component (5t), indicating that they lie on a line parallel to the y-z plane. The y-component and z-component (both t) vary freely, but they are always equal. Therefore, W forms a one-dimensional subspace, which can be visualized as a line in three-dimensional space.(b) To find a basis for the subspace W, we need to identify linearly independent vectors that span the subspace. In this case, a suitable basis for W would be {(5, 1, 1)}. This single vector is sufficient to generate all other vectors in W through scalar multiplication.

(c) The dimension of the subspace W of R³ is 1. This can be determined by the number of linearly independent vectors in the basis for W, which is only one. The subspace W is one-dimensional, consisting of all vectors that can be obtained by scaling the basis vector {(5, 1, 1)} with a real number.

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The probability that the cost will be between $250 and $470 is 0.7354.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given:

Automobile repair costs continue to rise with the average cost now at $367 per repair.†

Assume that the cost for an automobile repair is normally distributed with a standard deviation of $88.

We have to find the probability that the cost will be between $250 and $470.

P( 250 < x < 470 ) = P( x <470 ) - P( x < 250 )

P( x < 470 ) = NORMDIST( 470 , 367, 88, 1 ) = 0.8272

P( x < 250 ) = NORMDIST( 250 , 367, 88, 1 ) = 0.09183

P( 250 < x < 470 ) = 0.8272 - 0.09183 = 0.7354

P( 250 < x < 470 ) = 0.7354

Hence, the probability that the cost will be between $250 and $470 is 0.7354.

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Answer:

If you know two number a and b and need find, b is what percentage of a, P=b

- 100%

a

Answer:

0

Step-by-step explanation:

west and north are positive

east and south are negative

so you add them up

Answer:

£69

Step-by-step explanation:

Given information:

Cost of buying a dress and shoes:

⇒ £50 + £43 = £93

Discount:

⇒ 1/3 of £93 = 1/3 × 93 = £31

Cost of goods after discount is applied:

⇒ £93 - £31 = £62

Addition of shipping and handling:

⇒ £62 + £7 = £69

Therefore, Ruth will pay £69 if she buys a dress and shoes.

The complex zeros of the given polynomial function are x = ±i√2(3).

The given polynomial function is:

f(x) = x² + 6x³ + 18x² + 150x - 175

We can factorize the given polynomial function using the Rational Root Theorem.

According to the theorem, if a polynomial has a rational root p/q, then p is a factor of the constant term and q is a factor of the leading coefficient. Therefore, we get the possible rational roots as:

±1, ±5, ±7, ±25, ±35, ±175

Among these possible roots, let's substitute and check whether they are the roots of the given polynomial function or not.

We get f(1) = 0, f(-5) = 0 and f(5) = 0.So, (x - 1), (x + 5), and (x - 5) are the factors of the given polynomial function.

Now, using synthetic division, we get f(x) = (x - 1)(x + 5)(x - 5)(x² + 18)

Therefore, the complex zeros of f(x) = x² + 6x³ + 18x² + 150x - 175 are:

Real roots: x = 1, x = -5, x = 52) Complex roots: x² = -18x = ±3i√2

Hence, the complex zeros of the given polynomial function are x = ±i√2(3)

The given polynomial function f(x) = x² + 6x³ + 18x² + 150x - 175 is factored as (x - 1)(x + 5)(x - 5)(x² + 18) and the complex zeros are x = ±i√2(3)

The given polynomial function f(x) = x² + 6x³ + 18x² + 150x - 175 is a cubic polynomial.

It states that if a polynomial has a rational root p/q, then p is a factor of the constant term and q is a factor of the leading coefficient.

Therefore, we can get the possible rational roots as ±1, ±5, ±7, ±25, ±35, and ±175.

Now, let's substitute and check whether they are the roots of the given polynomial function or not.

We get f(1) = 0, f(-5) = 0, and f(5) = 0.

Therefore, (x - 1), (x + 5), and (x - 5) are the factors of the given polynomial function.

Using synthetic division, we get f(x) = (x - 1)(x + 5)(x - 5)(x² + 18).

Hence, the complex zeros of the given polynomial function are x = ±i√2(3).

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The intrinsic value of Todd Mountain Development Corporation's stock is $50. (option c)

To calculate the intrinsic value of the stock using the constant-growth DDM, we need to consider several factors: the expected dividend, the dividend growth rate, and the required rate of return. Let's break down the process step by step.

In this case, the risk-free rate of return is given as 4%, and the expected return on the market portfolio is 19%. The stock of Todd Mountain Development Corporation has a beta of 0.60.

The formula to calculate the required rate of return (RRR) using the Capital Asset Pricing Model (CAPM) is as follows:

RRR = Risk-Free Rate + Beta * (Market Return - Risk-Free Rate)

RRR = 4% + 0.60 * (19% - 4%)

RRR = 4% + 0.60 * 15%

RRR = 4% + 9%

RRR = 13%

Calculate the intrinsic value using the constant-growth DDM formula:

The constant-growth DDM formula is as follows:

Intrinsic Value = Dividend / (RRR - Dividend Growth Rate)

Given that the expected dividend is $2 and the dividend growth rate is 9%, we can substitute these values into the formula:

Intrinsic Value = $2 / (13% - 9%)

Intrinsic Value = $2 / 4%

Intrinsic Value = $50

Hence the correct option is (c).

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Complete Question:

Todd Mountain Development Corporation is expected to pay a dividend of $2 in the upcoming year. Dividends are expected to grow at the rate of  9% per year. The risk-free rate of return is 4%, and the expected return on the market portfolio is 19%. The stock of Todd Mountain Development Corporation has a beta of 0.60. Using the constant-growth DDM, the intrinsic value of the stock is _____.

a. 22.22.

b. 9.09.

c. 50.00.

d. 3.60.

Answer:

Horizontal: y = 9

Vertical: x = 3

Step-by-step explanation:

Any point is given in the form (x,y). The first number is the x and the second number is the y.

Horizontal lines (a left-right line like the horizon) have an equation in the form "y = anumber" This works because a horizontal line has ZERO slope. So there is no x in the equation because--

y = 0x + b

y = b (a number, use the y-number from the point)

A vertical line has undefined slope so you can't even pretend to use a slope equation. A vertical line (up and down) has an equation in the form

"x = anumber" Use the x from the point.

Horizontal line through (3,9) is y=9.

Vertical line through (3,9) is x=3

The equation of the linear function is y = -1/2x - 6

From the question, we have the following parameters that can be used in our computation:

The graph

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

This means that

y = mx - 6

From the graph, we have

A unit increment in x gives an decrement of 1/2 in y

This means that

m = -1/2

So, we have

y = -1/2x - 6

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The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

Answer:

Step-by-step explanation:

think about it like this. here is what we know

so for this problem we will let A represent the number of adults and let C represent the number of Children. So with that said:

A+C=20

so in the end

15a+10c=225

Answer:

$40.25

Step-by-step explanation:

35 increase 15% =

35 × (1 + 15%) = 35 × (1 + 0.15) = 40.25

Answer:

We have,

\frac{63(p^4 + 5p^3 - 24p^2)}{ 9p(p + 8)}

=\frac{63p^2(p^2 + 5p - 24)}{9p(p + 8}

=\frac{7p(p^2 + 5p - 24)}{(p + 8)}

Splitting the middle term, we get

=\frac{7p(p^2 + 8p-3p - 24)}{(p + 8)}

=7p[\frac{p(p+8)-3(p+8)}{(p+8)} ]

=7p[\frac{(p+8)(p-3)}{p+8}]

=7p(p-3)

Hence the solution is 7p(p-3).

Answer:

(21/3)p(p-3)  or

(21/3)p^2 - 21p

Step-by-step explanation:

63(p^4 + 5p^3 – 24p^2)/(9p(p + 8)​)

63p^2(p^2 + 5p – 24)/(9p(p + 8)​)  [Factor (p^2 + 5p-24) to (p+8)(p-3)]

63p^2(p+8)(p-3))/(9p(p + 8)​)   [The (p+8) terms cancel]

63p^2(p-3))/(9p)           [Cancel 1 p]

63p(p-3))/(9)            [Divide by 9]

(21/3)p(p-3)  or

(21/3)p^2 - 21p

The direction vector in which the maximum rate of change occurs at P is `2/sqrt(13) i + 3/sqrt(13) j`.First, let's evaluate the gradient of f(x, y) using the formula: `grad f = (df/dx)i + (df/dy)j`.

Thus, `grad f = 1/y i - x/y^2 j`.We will now substitute the values of x, y and P in grad f and get the gradient at point P.`grad f(-4,4) = 1/4(-4)i - (-4)/(4)^2 j = -i/4 + 1/16 j`.Now, we can determine the direction vector in which the maximum rate of change occurs at P using the formula `Dv = ±||grad f||`.The norm of grad f is `sqrt(1/16 + 1/256) = sqrt(17)/16`.

Therefore, `Dv = ±(sqrt(17)/16)`We will now substitute the values of `Dv` and `grad f` in the formula `Dv = ±(sqrt(17)/16) = ±(1/||grad f||)grad f(-4,4) = ±(1/((sqrt(17))/16))(-i/4 + 1/16 j)`.This can be simplified as `Dv = ±(4/sqrt(17))(-i + (1/4) j)`.The unit direction vector will be `Dv/||Dv||`.Therefore, the direction vector in which the maximum rate of change occurs at P is:`Dv/||Dv|| = ((4/sqrt(17))/-1)i + (4/sqrt(17))(1/4) j = (-4/sqrt(17))i + (1/sqrt(17))j`.After simplifying, we get the answer as: `2/sqrt(13) i + 3/sqrt(13) j`.Hence, the required direction vector is `2/sqrt(13) i + 3/sqrt(13) j`.Therefore, the `ANSWER` is the `unit` direction vector in which the maximum rate of change occurs at P is `2/sqrt(13) i + 3/sqrt(13) j`.

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Answer:

8

Step-by-step explanation:

Step-by-step explanation:

The property that makes the process work is integration by parts .

Given,

When solving a linear differential equation by using an integrating factor, what property from calculus makes the process work .

Here,

When applying the concept of integrating factor in calculating the solution of linear differential equation the property used is integration by parts .

IF = \(e^{\int\ {p} \, dx }\)

Thus option B will be correct choice for the question.

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Correct question:

Q

When solving a linear differential equation by using an integrating factor, what property from calculus makes the process work

options:

1) chain rule for derivatives

2) integration by parts

3)product rule for derivatives

4) quotient rule for derivatives

Answer: ..

Step-by-step explanation:

Wed: 0%

Thu: 30%

Fri: 50%

Sat: 80%

Sun: 100%

I got these answers by taking 100, and subtracting the rain percentage from it. For instance, if it was a 45% to rain, and a unknown amount for it to not rain, I would take 100 and subtract 45 from it, resulting in a 55% chance of it not raining.

Answer:

A; infinitely many solutions

Step-by-step explanation:

first, let's simplify the first equation to make it simpler.

divide both sides by 5

y=3x-8

new system

y=3x-8

y=3x-8

as you can see, they are the same.

not mandatory but useful!⬇⬇⬇⬇

just to be more clear, let's substitute them. since they're both already in y=, we can make them both set to each other.

3x-8=3x-8

add 8 to both sides; subtract 3x from one side

0=0

the answer is A, Infinitely many solutions.

hope this helped <3333333

Answer:

C

Step-by-step explanation:

All the other answers are the same worded differently except c.

The distance between 6 and -6 is 12 so that is not correct for the absolute value of -6

a) The critical value of t for this question at the .05 significance level is -2.11.

b) The calculated value of t for this question at the .05 significance level is -1.47, given a standard deviation of 0.63.

c) We can reject the null hypothesis because the calculated t-value (-1.47) is less than the critical t-value (-2.11). This indicates that games are less than 3.50 hours long.

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The marginal cost function for the given cost function C(x) = 180 + 5.78x - 0.02x² is MC(x) = 5.78 - 0.04x.

In order to find the marginal-cost function, we need to take the derivative of the cost function with respect to x.

We know that, the cost-function is C(x) = 180 + 5.78x - 0.02x², where x represents the quantity produced, we can find the marginal cost function by taking the derivative of C(x) with respect to x.

dC(x)/dx = 5.78 - 0.04x

The derivative of the cost function represents the rate of change of the cost with respect to the quantity produced. So, the marginal cost function is given by : MC(x) = 5.78 - 0.04x

Therefore, the required marginal cost function is 5.78 - 0.04x.

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The given question is incomplete, the complete question is

Find the marginal cost function, where cost function is C(x) = 180 + 5.78x -0.02x² ?

Answer:

Slope and y intercept.

Step-by-step explanation:

This is necassary to write the equation of a line in y=mx+b

m is where the slope goes, and b is the y intercept.

Alternatively, you could also write the equation for a line with a point on the line and the slope.

You would then write it in point slope formula:

y-y1=m(x-x1)

This can later be converted into slope intercept form.

Answer:

When asked to write an equation, you need to know two things – slope (m) and y-intercept (b).

Or

The Standard Form for a linear equation in two variables, x, and y, is usually given as Ax + By = C where, if at all possible, A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1.

The options that are true about the system of linear equations are;

A) The solution is (4,0).

C) The solution is (0,−1).

D) There are infinitely many solutions.

From the given linear equation graph, we see that the linear equation that is graphed is given by;

y = ¹/₄x - 1

Now, the solution to the given equation will be the value of x that corresponds with the value of y when traced on the graph.

Let us access (4, 0)

At x = 4, we have;

y = ¹/₄(4) - 1

y = 0

Thus, (4, 0) is a solution of the graph.

Let us access (0, -1)

At x = 0, we have;

y = ¹/₄(0) - 1

y = -1

Thus, there are many solutions to the graph

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Answer:

Percent increase

Step-by-step explanation:

Since the number of marching band students increased from 304 to 322, you would find the percent increase.

You wouldn't find the percent decrease because the number of students increased.

Answer:

the percent has increased, and if your looking for the amount increase in percentage its 5.92%

Step-by-step explanation:

Answer:(192/9.6)÷7=20/7

Step-by-step explanation:

According to question,  the probability that x > 0.5 is 1/4.

To find the probability P(x > 0.5), we need to integrate the given PDF over the range where x > 0.5:

P(x > 0.5) = ∫∫(x > 0.5) fx,y (x, y) dxdy

= ∫∫(x > 0.5) 2xy dxdy, where the limits of integration are 0 to 1 for y and 0.5 to 1 for x.

= ∫0^1 ∫0.5^1 2xy dxdy

= 1/4

what is probability?

The probability of an event is the measure of the likelihood of that event occurring. It is a number between 0 and 1, inclusive, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur. If the probability of an event is p, then the probability of the complement of that event (i.e., the event not occurring) is 1-p.

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Answer:

The answer is 44.99

Step-by-step explanation:

divide 89.98/2= 44.99