In the summer, paul earns twice as much each week painting rooms than he does cutting grass. his total weekly wages are $150 more than that of his younger sister, megan, who baby-sit. she earns one quarter as much as paul does painting rooms. how much does paul earn for painting room?

The money in the savings account after 60 months is $17270 and after 100 months is $28470.

Given that, Safiya earned a school counselor degree in this working at an elementary school earning $2800 per month.

Here, first term (a)=$750, common difference (d)= $280.

The general form an arithmetic sequence is aₙ=a+(n-1)d.

Savings after 60 months is

a₆₀=750+(60-1)×280

= 750+59×280

= $17270

Savings after 100 months is

a₁₀₀=750+(100-1)×280

= 750+99×280

= $28470

Therefore, the money in the savings account after 60 months is $17270 and after 100 months is $28470.

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There are 23 small prints, 264 medium prints ,188 large prints and 42 extra large prints which are being sold by Mr. Carandang.

Given that there is total sales of 1790 prints of one of the drawings by Mr, Caradang. Out of which 1273 unframed prints, 152 were small, 544 were medium. Out of the framed prints 23 were small,42 were extra large. Out of large prints 188 were framed, 496 were unframed.

We are required to find the number of small prints,medium prints, large .extra large in total and  total framed print of the drawings.

Total framed print=Small print+Medium print+Large print+Extra large print

=23+264+188+42

=517

Unframed print:

Small=152

Medium=544

Large=496

Extra large=81

Total unframed print=Small+Medium+large+extra large

=152+544+496+81

=1273.

Hence there are 23 small prints, 264 medium prints ,188 large prints and 42 extra large prints which are being sold by Mr. Carandang.

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Answer:

m =1

Step-by-step explanation:

Y2 - Y1. 6-0. 6

m = ------------ = ---------- = ----- = 1

X2 - X1. 0-(-6). 6

Answer:

A. Supplier X offers the better deal by $3.93.

Explanation:

Supplier X offers a mechanic a part at 35% off the retail price of $65.40.

Supplier X's price is $42.51.

Supplier Y offers him the same part at 20% over the wholesale cost of $38.70.

We calculate the difference in the prices below:

Supplier X offers the better deal by $3.93.

Answer:

5

Step-by-step explanation:

A proportional relation has the following equation:

y = kx

where k = constant of proportionality.

Plug in any given ordered pair into x and y and solve for k.

Let's us (7, 35).

35 = k * 7

k = 35/7 = 5

Answer: The constant of proportionality is 5.

If the number of people arriving for treatment at an emergency room is modeled by a Poisson process with a mean of 5 people per hour, we can use this information to estimate the expected number of people who will arrive during a 45-minute period.

The Poisson distribution describes the probability of a certain number of events occurring in a fixed interval of time, given the average rate at which the events occur. In this case, the Poisson distribution can be used to estimate the number of people who will arrive during a 45-minute period, given that the mean arrival rate is 5 people per hour.

To calculate the expected number of arrivals, we first need to convert the 45-minute time period into hours. There are 60 minutes in an hour, so 45 minutes is equivalent to 0.75 hours.

Next, we can use the Poisson distribution formula, which is:

P(X = k) = (e^(-λ) * λ^k) / k!

where λ is the mean arrival rate (in this case, 5 people per hour), k is the number of arrivals we are interested in, and e is Euler's number (approximately 2.71828).

Expected number of arrivals = λ * t = 5 * 0.75 = 3.75

Therefore, we can expect approximately 3.75 people to arrive for treatment during a 45-minute period, assuming that the number of arrivals follows a Poisson distribution with a mean of 5 people per hour.

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The correlation coefficient that represents the strongest relationship between two variables is -0.75.

In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.

The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.

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Answer:

Step-by-step explanation:

c

For this question it would have helped to have a graph but, the answer is 50. Hope this helps

A piecewise function is a function that is constructed from bits of various functions across various time intervals. For instance, we can create a piecewise function f(x) that has the values -9 when x -5, 6 when x -1, and -7 when x 9.

When an input value passes specific "boundaries," a rule or relationship changes. In these cases, we employ piecewise functions to explain the situation. For instance, it happens frequently in business that the price per piece of a particular item is reduced after the quantity requested hits a certain threshold.

If all of the following requirements are true, a piecewise function is continuous on a particular interval in its domain: its constituent functions are continuous on the corresponding intervals (subdomains), and there is no discontinuity at any point along the subdomains' boundaries.

The formula is f(x)=x2 + x4

                       f(x)= √x, x≥4

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The piecewise function formula be f(x) = x² + \(x_4\)

                                                           f(x) = √x, x ≥ 4.

When an input value passes specific "boundaries," a rule or relationship changes. In these cases, we employ piecewise functions to explain the situation.

A piecewise function is a function that is constructed out of bits of various functions over various time intervals. An equation or set of equations, rather than a single equation, defines a piecewise-defined function. For a specific interval, each equation is valid.

A piecewise-defined function in mathematics is a function with several subfunctions, each of which has a certain interval in the domain for which it is applicable. Piecewise definition is a method of expressing the function, not a property of the function.

The piecewise function formula be f(x) = x² + \(x_4\)

                                                           f(x) = √x, x ≥ 4

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Answer:

leading co-efficent is 4

Therefore , the solution of the given problem of unitary method comes out to be in June 2022, the total amount due to the finance, exclusive of the insurance, was roughly $47,259.52.

The task can be completed by multiplying the data gathered using this type of nanosection along with two variable individuals who utilized the unilateral strategy. In essence, this signifies that perhaps the designated entity is defined or the colour of both mass production is skipped whenever a wanted item occurs. For forty pens, a variable charge of Inr ($1.01) could have been required.

Here,

1.1. The statement omits details about the truck's loan term. Therefore, without more details, we are unable to respond to this query.

1.2. Assume that the truck's loan period is n years and that the contractor borrowed P dollars at an annual interest rate of r to buy the water tanker.

M is calculated as (r * P * (1 + r)n) / ((1 + r)n - 1)

5 years + 60 months Equals n

r = 5% / 12 = 0.004166667 (weekly interest rate) (monthly interest rate)

P = $100,000

=> M = (0.004166667 * $100,000 * (1 + 0.004166667)^60) / ((1 + 0.004166667)^60 - 1)

≈> $1,870.24

As a result, the total monthly payments made for the water tanker, including the insurance protection, came to about $1,870.24.

1.3

(Total Amount Borrowed - Amount Paid) / 2

=>  ($100,000 - $1,870.24 * 6) / 2 = $47,259.52 is the sum that is owed.

Therefore, in June 2022, the total amount due to the finance, exclusive of the insurance, was roughly $47,259.52.

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Answer:

the answer is D

Step-by-step explanation:

Answer:

0, 8/5

Step-by-step explanation:

You can use the app photo math you just take a picture of the problem and it gives you the answer and shows the steps:)

Answer:

Step-by-step explanation:

Let the number of nickels is n, number of quarters is q.

We know that:

As per given we can set the following system:

Solving this we get:

Answer:

0.72

Step-by-step explanation:

7.25+2.35=9.6

9.6÷100=0.096

0.096×7.5=0.72 the tax

Answer:

64

Step-by-step explanation:

Trust me, this is the answer, PLEASE GIVE ME BRAINLIEST

\(\huge\text{Hey there!}\)

\(\huge\text{We are not sure what you want us to}\\\huge\text{round to so I will...}\huge\boxed{\downarrow}\\\\\\\huge\boxed{\mathsf{original \ number\rightarrow tens\rightarrow hundreds/thousands}}\)

\(\huge\boxed{1.) \ \mathsf{89} \rightarrow \bold{90}\rightarrow\bf 100}}\\\huge\boxed{2.) \mathsf{\ 64\rightarrow \bold{6} \rightarrow \bf 100}}\\\huge\boxed{3.) \mathsf{ \ 985 \rightarrow \bold{990}\rightarrow \bf 1,000}}\\\huge\boxed{4.)\mathsf{\ 467\rightarrow\bold{470}\rightarrow \bf 500}}}\)

\(\huge\textsf{Reminder: If you have \bf 0 - 4 you are going}\\\huge\textsf{\bf downward \& 5 - 9 you are going upward}\)

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The dP/dt of the adiabatic expansion is -42/11 kPa/min

An adiabatic process is a process in which there is no exchange of heat from the system to its surrounding neither during expansion nor during compression

Given b=1.5, P=7 kPa, V=110 cm³, and dV/dt=40 cm³/min

PVᵇ = C

Taking logs of both sides gives:

ln P + b ln V = ln C

Taking partial derivatives gives:

\(\frac{1}{P}\frac{∂P}{∂t} + \frac{b}{V}\frac{∂V}{∂t} = 0\)

Substitutituting the values b, P, V and dV/dt into the derivative above:

1/7 x dP/dt +  1.5/110 x 40 = 0

1/7 x dP/dt +  6/11 = 0

1/7 x dP/dt = - 6/11

dP/dt = - 6/11 x 7

dP/dt = -42/11 kPa/min

Therefore, the value of  dP/dt is -42/11 kPa/min

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Answer:

B because Comp A is $60 for sure plus $42.95 per month and Comp B is $25 for sure and $49.95 per month

Goran's monthly salary would be $3963.49

In this problem, the Annual salary or his Gross Salary is $63,000 and annual deductions for his salary which includes taxes & health insurance is $15,438.12 annually. The formula to calculate the Net salary is :

                 => Net Salary = Gross Salary - Deductions

By the formula mentioned above, we can calculate Goran's Net salary which he gets Annually. Here, Gross = $63,000, Deductions = $15,438.12 :

                 => Net = 63,000 - 15438.12   => Net Salary = 47,561.88

Goran gets a Net Salary of $47,561.88, Now we have to calculate the equal amount of paychecks he will receive monthly for 12 months.

Monthly Paycheck = Net/12   => 47561.88/12  =>  $3963.49

Hence, Goran's monthly paycheck will be $3963.49

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The Earth is estimated to be around 4.54 billion years old, while the oldest known rocks found on Earth date back to about 4 billion years ago.

Determining the age of the Earth is a complex process that involves a variety of scientific disciplines. Geologists and other scientists have used a variety of methods to estimate the age of the planet, including radiometric dating, which involves measuring the decay of radioactive isotopes in rocks and other materials.

The age of the oldest known rocks found on Earth has also been determined using radiometric dating techniques. These rocks, which are primarily found in Western Greenland, have been dated to around 3.8 to 4.0 billion years old. The rocks are believed to have formed during the Hadean Eon, a period of Earth's history when the planet was still in its early stages of formation and was subject to intense meteorite bombardment.

It's important to note that the age of the Earth and the age of the oldest known rocks found on its surface are not precise measurements.

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The insurance cost now is £449.204.

Given:

Brian pays £465. 98 a year on his car insurance. The insurance company reduces the price by 3. 6%.

Insurance  = 465.98*3.6%

= 465.98*3.6/100

= 465.98*36/10*100

= 46598/100 * 36/1000

= 46598*36 / 100000

= 1677528/100000

= 16.77528

Insurance cost now = 465.98 - 16.77528

= £449.20472

Therefore the insurance cost now is £449.204.

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The y-intercept is (0, 4).

An alternate method to find the x-intercepts is to factor the quadratic equation.

The vertex is (-2, 0).

The graph of the equation is illustrated below.

One of the most common types of equations is a quadratic equation, which is an equation of the form ax² + bx + c = 0. In this case, we have the equation x² + 4x + 4 = 0, and we need to find the x-intercepts.

To find the x-intercepts, we can use the quadratic formula, which is given by:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation. In this case, a = 1, b = 4, and c = 4, so we can substitute these values into the formula:

x = (-4 ± √(4² - 4(1)(4))) / 2(1) x = (-4 ± √(0)) / 2 x = -2

Therefore, the x-intercept is -2. We can check this by plugging in x = -2 into the equation and verifying that it equals zero:

(-2)² + 4(-2) + 4 = 0

In this case, we can see that the equation can be factored as:

(x + 2)² = 0

Taking the square root of both sides, we get:

x + 2 = 0

x = -2

This gives us the same x-intercept as before.

To find the vertex of the parabola represented by the equation, we can use the formula:

x = -b / 2a

and then substitute this value of x into the equation to find the y-coordinate of the vertex. In this case, we have:

x = -4 / 2(1) x = -2

Substituting x = -2 into the equation, we get:

(-2)² + 4(-2) + 4 = 0

Since the coefficient of x² is positive (i.e., a = 1 > 0), the parabola opens upwards and the vertex is a minimum.

To graph the parabola, we can plot the vertex at (-2, 0) and use the x-intercept we found earlier at (-2, 0). Since the equation is symmetric about the vertical line through the vertex, we know that there is another point on the graph that is the same distance from the vertex but on the other side of the line. Therefore, we can plot the point (-3, 0) as well. We can also find the y-intercept by setting x = 0 in the equation:

0² + 4(0) + 4 = 4

Using this information, we can sketch the parabola by connecting the points (-3, 0), (-2, 0), and (0, 4), and noting that the parabola is symmetric about the line x = -2.

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Answer:

The answer is 127.6

Step-by-step explanation:

To find the volume of something, you multiply.

So:5.5 times 3.2 times 7.25 is equal to 127.6

HOPE THIS HELPS YOU!!!!    :)

Answer:

127.60 square inches

Step-by-step explanation:

Multiply the diameters all together to get your answers.

5.5 x 3.2 x 7.25

Multiply

5.5 x 3.2 = 17.6

Multiply some more

17.6 x 7.25 = 127.6

You can also just multiply like this:

5.5 x 3.2 x 7.25 = 127.6

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Answer:

63cm³

Step-by-step explanation:

The shape above is a rectangular prism

The formula for a rectangular prism is given as:

= Length × Width × Height

Length = 3cm

Width = 3cm

Height = 7cm

= 3cm × 3cm × 7cm

= 63 cm³

The volume of the rectangular prism = 63cm³

Answer:

lets first number is x, so second number is

(x+32),

The sum of these numbers is 186 so

x+(x+32)=186

2x+32-186 2x=154

x=77

second number is x+32=77+32=109 Answer: numbers are 77 and 109

Answer:

9

Step-by-step explanation:

81 ÷ 9 = 9

Answer: Its 9

Step-by-step explanation: You do 3^4 which equals 81 then you do 3^2 which is 9 so then you divide 81 and 9 which is 9.

You arrange 5 letters in 7893600 ways

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

Letters to use = 5

Total available letters = 26

The letters are distinct

This means that the letters cannot be repeated

So, we have

First = 26, Second = 25 ....... Fifth = 22

Using the above as a guide, we have the following:

Ways = 26 * 25 * 24 * 23 * 22

Evaluate

Ways = 7893600

Hence, the arrangement is 7893600

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To solve the ODE dy/dx = 5y^2 x^4 + y with the initial condition y(0) = 1 in MATLAB, we can use the built-in ODE solver 'ode45'. Here's the code:

% Define the ODE function

ode = (x,y) 5y^2x^4 + y;

% Define the domain

xspan = [-3 5];

% Define the initial condition

y0 = 1;

% Solve the ODE

[x,y] = ode45(ode, xspan, y0);

% Plot the results

plot(x,y)

xlabel('x')

ylabel('y')

This code defines the ODE function as a function handle using the (x,y) notation, defines the domain as a vector xspan, and defines the initial condition as y0. The ode45 solver is then used to solve the ODE over the domain xspan with the initial condition y0. The solution is returned as two vectors x and y, which are then plotted using the plot function.

Running this code produces a plot of the solution y(x) over the domain [-3, 5].

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