pls help me quick!!!

Amy’s monthly budget for textbooks in course supplies is $900.00

Amy's monthly budget for rent, utilities and food is $12,798.

Her monthly budget for a personal and miscellaneous cost is $2,259.

Her total monthly budget equals $15,957.

A budget is best defined as estimation of the revenue and expenses over a specified future period of time and is usually compiled and re-evaluated on a periodic basis.

Budget for textbooks:

= $900.00

Budget for rent, utilities and food:

= $12,798.

Budget for personal and miscellaneous cost:

= $2,259.

Total monthly budget:

= $900 + $12,798 + $2,259

= $15,957.

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The distance the car was driven for if the total cost of the rental was $151.55 is 259 miles

From the question, we are to determine how far the car was driven in one day

From the given information,

The formula that represent the cost of renting the car for one day is

C= 0.45m + 35

We are to determine how far the car was driven if the total cost of the car rental was $151.55

That is,

We are to determine m when C is $151.55

Substitute C = 151.55 in the formula

151.55 = 0.45m + 35

Calculate the value of m

151.55 = 0.45m + 35

151.55 - 35 = 0.45m

116.55 = 0.45m

Therefore,

0.45m = 116.55

m = 116.55/0.45

m = 259

Hence, the car was driven for 259 miles

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Answer:

Step-by-step explanation:

Solving for X in Other Triangles In any triangle, the sum of the squares of the two shorter sides is equal to the square of the length of the longest side. This is known as the Pythagorean theorem.

The similarities between matrix factorization and content-based filtering and/or collaborative filtering are given below.

What is matrix factorization and collaborative filtering?

A group of cooperative filtering algorithms used in recommender systems is called matrix factorization. The user-item interaction matrix is broken down into the product of two rectangular matrices with lower dimensions by matrix factorization algorithms.

Collaborative filtering makes recommendations by simultaneously comparing similarities between users and items, addressing some of the drawbacks of content-based filtering.

collaborative filtering: user-based for example, CF calculates users' similarities in the item space. Then taking similar users's interest to do a recommendation for the target user. CF is one case of neighborhood methods.

matrix factorization amounts to mapping features of user and item via linear combination to latent factor space respectively.

Then calculating the similarity via inner-product of latent user factor and latent item factor.

CF covers local information of target user for the sake of neighborhood methods, while MF covers global information.

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The Formula for chain rule is dy/dx = dy/du x du/dx

The chain rule is a formula used in differential calculus to get the derivative of a composite function. According to the chain rule, if y = f(g(x)), then the instantaneous rate of change of function f with respect to g and g with respect to x leads in an immediate rate of change of f in relation to x. As a result, y' = f'(g(x)) will be supplied as the derivative of y. g'(x). One of the crucial rules in differentiation is the chain rule.

The chain rule formula is as follows for the function y = f(x), where f(x) is a composite function such that x = g(t):

Formula for chain rule

This is how the chain rule of differentiation formula is typically expressed.

dy/dx = dy/du x du/dx

Another chain rule formula looks like this:

y’ = d/dx ( f(g(x) ) = f’ (g(x)) · g’ (x).

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The Spearman correlation coefficient is used to calculate a significance test, whereas the Pearson correlation coefficient is not.

The Spearman correlation coefficient is a non-parametric measure of correlation that uses ranks rather than raw data to assess the strength of the relationship between two variables. This makes it more robust than the Pearson correlation coefficient, which relies on the assumption that the two variables have a normal distribution. Additionally, Spearman correlation coefficients are used to measure the degree of monotonicity between two variables, while Pearson correlation coefficients are not. Finally, the Spearman correlation coefficient is used to calculate a significance test, whereas the Pearson correlation coefficient is not.

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The required sample sizes are given as follows:

a) n = 752.

b) n = 722.

c) The added knowledge in item b has an effect, as it decreases the sample size required. The decrease is not huge because the estimate is close to 0.5, but the farther the estimate gets from 0.5, the more the sample size decreases.

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The margin of error is calculated as follows:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The variables used to calculated these bounds are listed as follows:

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

The margin of error in this problem is given as follows:

M = 0.03.

For item a, there is no previous estimate, hence we consider [tex]\pi = 0.5[/tex] and the sample size is obtained as follows:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}[/tex]

[tex]\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2[/tex]

n = 752. (rounding up).

For item b, the estimate is [tex]\pi = 0.6[/tex], hence the sample size is obtained as follows:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.645\sqrt{\frac{0.6(0.4)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.645\sqrt{0.6(0.4)}[/tex]

[tex]\sqrt{n} = \frac{1.645\sqrt{0.6(0.4)}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.6(0.4)}}{0.03}\right)^2[/tex]

n = 722. (rounding up).

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Answer:

The function is going up

Step-by-step explanation:

the arrow is going up

Answer: y=2^{x}

Step-by-step explanation:

5) The equation with a negative slope (- m) and a positive y - intercept (b) will be;

⇒ y = - mx + b

6) The value of slopes are,

a) Slope = 4

b) Slope = 3

c) Slope = 1

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

In question 5;

The value of slope = - m

And, The y - intercept = b

In question 6;

The points are,

a) (3, 13) and (5, 21)

b) (- 2, - 7) and (1, 2)

c) (4, 9) and (10-, 15)

Now,

Since We know that;

The equation of line in slope - intercept form is,

⇒ y = mx + b

Where, 'm' is slope and 'b' is y - intercept.

Here, In question 5;

The value of slope = - m

And, The y - intercept = b

Hence, The equation of line is,

⇒ y = - mx + b

And, We know that;

The slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) is,

⇒ m = (y₂ - y₁) / (x₂ - x₁)

Here, In question 6;

The points are,

a) (3, 13) and (5, 21)

b) (- 2, - 7) and (1, 2)

c) (4, 9) and (10, 15)

So, The slopes are find as;

a) (3, 13) and (5, 21)

⇒ m = (21 - 13) / (5 - 3)

⇒ m = 8/2

⇒ m = 4

b) (- 2, - 7) and (1, 2)

⇒ m = (2 - (-7)) / (1 - (-2))

⇒ m = 9/3

⇒ m = 3

c) (4, 9) and (10, 15)

⇒ m = (15 - 9) / (10 - 4)

⇒ m = 6/6

⇒ m = 1

Thus, We get;

5) The equation with a negative slope (- m) and a positive y - intercept (b) is,

⇒ y = - mx + b

6) The value of slopes are,

a) Slope = 4

b) Slope = 3

c) Slope = 1

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The given trigonometric equations have the value tan x, -cot x.

Since the given trigonometric equations  are: cos2x-cos4x/sin2x+sin4x   and  cos2x+cos4x/sin2x-sin4x. The problem is related to trigonometric Ratios, which are the ratios of the side of a right-angled triangle.Now for the equation (cos 2x - cos 4x )/(sin2x +sin4x)

since we know the formulas  :

cos A + cos B = - sin (A+B)/2 sin(A-B)/2

sin A - sin B = sin( A+B)/2 cos (A-B)/2

so for the equation, we can

= (-sin 3x) sin ( -2x)/2)/( cos 3x cos x)

= sin 3x sin x/ (sin 3x) cos x

= tan x

for the second equation    cos2x+cos4x/sin2x-sin4x

= cos 3x cosx/ cos3x sin(- x)

= - cot x

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As Company will not invest in both cases, decision to invest is not sensitive over this annual revenue range.

In the given question, Decker scientific is considering an investment of $850,000 in a new product line.

The company will make the investment only if it will result in a rate of return of 20% per year or higher.

If the revenue is expected to be between $290,000 and $325,000 per year for each of 5 years, we have to determine if the decision to invest is sensitive to the projected range of income using an annual worth analysis.

AW of investment when expected revenue is

290000 = -1080000*(A/P,20%,4) + 290000

A/P = -1080000*0.386289 + 290000

A/P = -127192.12

A/P = -127192

AW of investment when expected revenue is

369000 = -1080000*(A/P,20%,4) + 369000

A/P = -1080000*0.386289 + 369000

A/P = -48192.12

A/P = -48192

As Company will not invest in both cases, decision to invest is not sensitive over this annual revenue range.

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The volume of the gas at 6.4 × 10⁴ Pascals is 7.44×10⁻⁷m³.  The pressure of the gas is  5.47× 10⁶ Pascals

At a constant temperature, the volume of a gas is inversely proportional to its pressure. We can write:

V α 1/P

V = T/P   (where T is the constant of proportionality)

T = PV

SInce T₁ = T₂

Also, P₁V₁ = P₂V₂

We have pressure of 2.8 x 10⁶ Pascals and a volume of 1.7 x 10⁻⁸ m³

a) What will the volume of the gas be when its pressure is 6.4 × 10⁴ Pascals?

P₁V₁ = P₂V₂

2.8 × 10⁶ × 1.7×10⁻⁸ = 6.4 × 10⁴ × V₂

V₂ = (2.8 × 10⁶ × 1.7×10⁻⁸)/ (6.4 × 10⁴)

V₂ = 7.44×10⁻⁷m³

b) Work out the pressure of the gas when its volume is 8.7 x 10⁻⁹ m³

P₁V₁ = P₂V₂

2.8 × 10⁶ × 1.7×10⁻⁸  = 8.7 ×10⁻⁹ × P₂

P₂ = (2.8 × 10⁶ × 1.7×10⁻⁸)/ (8.7 ×10⁻⁹)

P₂ =  5.47× 10⁶ Pascals

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The number of toy cars that can be kept in: 9 boxes and 8 boxes is 153 and 136 respectively .

Given :

288 toy cars can be kept in either 16 boxes or 18 boxes .

if 288 toy cars kept in 16 boxes .

number of toy cars in one box = 288 / 16

= 18 toy cars

if 288 toy cars kept in 18 boxes

number of toy cars in one box = 288 / 18

= 16 toys cars

Average = 18 + 16 / 2 = 34/2 = 17 toy cars .

Number if toy cars in 9 boxes = 9 * 17

= 153 toy cars

Number of toy cars in 8 boxes = 8 * 17

= 136 toy cars

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The real zeros of the quadratic function  f(x) = 2x² - 5x + 1 is between

The given quadratic function is  f(x) = 2x² - 5x + 1

Using a calculator the zeros of the function  f(x) = 2x² - 5x + 1 is solved to be

x = 2.28 OR 0.22

The value 0.22 falls between 0 and 1 = 0 < x < 1

this means greater than 0 and less than 1

The value 2.28 falls between 2 and 3 = 2 < x < 3

this means greater than 2 and less than 3

Therefore the second option is the right choice

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As per the given matrix, the stable age distribution vector is 25 and 25

Matrix:

In algebra, matrix means a set of numbers arranged in rows and columns so as to form a rectangular array.

Given,

Here we have the age transition matrix L and the age distribution vector x1 to find the age distribution vectors x2 and X3.

In order to find a stable age distribution vector we need to find an eigenvalue λ and a corresponding eigenvector x such that 

=> Lx=λx.

Here the characteristics polynomial of L is x2−41​ which implies the eigenvalues are 21​ and −21​.

Now, we have to choose the +ve eigenvalue, λ=21​, we need to find the corresponding eigenvector i.e. to find a basis of the solution space (L−21​I2​)x=0.

Then the augmented matrix is

[tex]\begin{bmatrix}200 & 0 \\ 0& 200\end{bmatrix}[/tex]

Then the age transmission is written as 25 and 25.

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[tex](3x^2 y^5)^3\implies \left( 3^3 x^{2\cdot 3} y^{5\cdot 3} \right)\implies 27x^6 y^{15}[/tex]

Answer:

write your question in a proper way

Midpoint formula is used to find the centre point of a straight line.

Given :

Let ( x1 , y1 ) and ( x2 , y2) are two points on the straight line.

Midpoint :

The center point of the straight lines with two points is called as midpoint.

Midpoint formula :

( x , y ) = ( x1 + x2 / 2 , y1 + y2 / 2 )

Example :

( x1 , x2 ) = ( 1 , 5 ) and ( y1 , y2 ) = ( 2 , 4 )

( x , y ) = ( 1 + 2 / 2 , 5 + 4 /2 )

= ( 3/2 , 9/2).

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Answer:

angle A = 124 degrees, angle D = 124 degrees, angle C = 56 degrees

Step-by-step explanation:

1. apply that opposite angles in a parallelogram are congruent

measure of angle A = measure of angle C

measure of angle B = measure of angle D

2. given the measure of angle A = 56 degrees, angle C is also 56 degrees

angle A = angle C = 56 degrees

3. calculate the measure of angle A

measure of angle A + 56 degrees = 180 degrees

4. subtract 56 from both sides

measure of angle A = 124 degrees

5. measure of angle A = measure of angle D

angle A = angle D = 124 degrees

answer:

angle A = 124 degrees

angle D = 124 degrees

angle C = 56 degrees

a) The relationship of the graph is drawn by using the above table is attached below:

b) Since, the time is increasing the pay of increasing is more. By this we have known the graph.

An illustration of a relation is a function graph. In set theory and modern mathematical foundations, a function is truly equal to its graph. Though it is frequently helpful to think about functions as mappings, which also include which set is the domain and which set is the codomain, it is also important to note that mappings do not just refer to the relationship between input and output. A codomain should be considered, for instance, while determining if a function is onto (surjective) or not. The codomain is not determined by the graph of a function alone.

Given, equation of pay is:

p=8.25t

Here p represents the pay and t represents the time he works.

The table is:

20          10       0       30         4           5             6

165       82.5     0      247.5    330   412.5         495

a) The relationship of the graph is drawn by using the above table:

b) Since, the time is increasing the pay of increasing is more. By this we have known the graph.

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Answer:

  see attached

Step-by-step explanation:

You want the attached table of group size and number of groups filled in.

As you know from your early experience with multiplication and division relations, either factor of a product can be found by dividing the product by the other factor:

  P = a·b   ⇒   a = P/b, or b = P/a

Here, the total is equal to the product of the number of groups and the number in each group. That means the missing number on each line can be found by dividing the total by the known number on the line.

When the numbers are already in a spreadsheet, you can let the spreadsheet do the arithmetic.

Mr. Powel, who is our geometry teacher, told us we have a geometry test next week.

A nonrestrictive element is an element of a sentence that is not necessary for understanding the basic meaning of the sentence, but instead provides additional information. Nonrestrictive elements are usually set off with commas, while restrictive elements are not. For example, “My brother, who is an engineer, works in Chicago” is a sentence with a nonrestrictive element. The nonrestrictive element (“who is an engineer”) provides additional information about the brother, but does not provide any information about which brother is being referred to. The restrictive element “My brother who works in Chicago” does provide information about which brother is being referred to.

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The propositional logic is a statement logic which is a statement that can be either true or false.

The relevant propositions in this case are

W: The roads are wet

a: There was an accident

h: Traffic was heavy

w → h when converted into an english sentence is 'If the roads were wet then traffic was heavy.'

W ∧ a when converted into an english sentence is 'The roads are wet and there was an accident.'

~(a ∧ h) when converted into an english sentence is 'It is not true that there was an accident and traffic was heavy.'

h → (a ∨ W) when converted into an english sentence is 'If the traffic was heavy then there was an accident and the roads are wet.'

W ∧ ~h when converted into an english sentence is 'The roads are wet and the traffic was not heavy.'

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The central angle of the arc in degree is 48° when a circle has a circumference of 12 units and it has an arc of length 8/5 units.

Given that,

A circle has a circumference of 12 units and it has an arc of length 8/5 units.

We have to find what is the central angle of the arc in degree.

We know that,

Circumference =12 units

Arc length =8/5= 1.6 units

If the central angle is "θ" then the length of the arc is given by

Arc length= θ/360°×circumference

Substituting values,

1.6=θ/360°×12

θ=48°

Therefore, The central angle of the arc in degree is 48° when a circle has a circumference of 12 units and it has an arc of length 8/5 units.

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The entry to record this payment when the company’s estimated taxes for the first quarter total $50,000 will be:

Debit Income taxes payable $50000

Credit Cash $50000.

A journal is a book in which all of a company's transactions are recorded for the first time. Journaling is the process of recording transactions in a journal. Every transaction has two effects: one is debited and the other is credited.

The act of keeping or making records of any transaction, economic or non-economic, is referred to as journal entry. An accounting journal, which shows a company's debit and credit balances, records transactions. The journal entry may include multiple recordings, each of which is either a debit or a credit. A journal entry's purpose is to physically or digitally record every business transaction properly and accurately.

The journal entry based on the information is illustrated.

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The height of a student with an arm span of 143 cm is most accurately predicted to be 143 cm.

The lacking graph is included.

The student heights and arm spans in a classroom are depicted in the graph below.

For most people, their arm span is about equal to their height. Mathematicians say the arm span to height ratio is one to one: your arm span goes once into your height.

The x-axis represents the height in cm

The y-axis represents the arm span in cm

We must determine the height of a pupil whose arms are 143 cm long. The value of the specified arm span is not shown on the graph.

To get the best prediction of the height, we will select the line that best fits the data (the sold line in the graph shown).

Points (150, 150) and (160, 160) are on the line. The x-coordinates and y-coordinate are equivalent.

y = x is the line's equation.

A student's arm span is 143 cm,

Which is represented by the letter y. Replace the value of y in the equation for the line that best fits the data:

y = 143 = x,

Where x is a student's height.

The student stands 143 cm tall.

Therefore,

The height of a student with an arm span of 143 cm is most accurately predicted to be 143 cm.

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The market price in this economy equals to $9.

Basically, a market price is the amount of money for what an asset can be sold in a market. In other word, it is the cost of the products determined with respect to the point where the demand meets supply.

The value of marginal product of labor (VMPL) is equal to the marginal product of labor (MPL) multiplied by the market price (P).

In this case, to find market price, we will divide the the value of the marginal product of labor by the marginal product of labor:

= 90/10

= $9

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Answer:

C) y=1/2x-2

Step-by-step explanation:

In the graph we have to identify the slope and y-intercept.

Y-intercept = -2 (In the graph it goes down two units)

To find the slope I identified the next nearest point, which was (2,-1).

From my y-intercept, -2, I had to go up one unit and two units to the right.

That makes my slope = 1/2

You need to remember slope intercept form is: y=mx+b

When plugging in the numbers you get:

y=1/2x-2