suppose you have a function of two variables, nand k; for instance h(n, k).if you are told that h(n, k)

The amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000 is greater than or equal to $19,000.

Given that:-

Fixed salary of Nolvia = $21,000

Commission tax that Nolvia gets = 4 %

Linear equation of Nolvia's salary and commission tax = 21000 + 0.04x

Where,

s represents her salary

x represents total sales

We have to find the amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000.

The amount of money in sales that Nolvia needs to earn a salary that exceeds $40,000 = 40000 - 21000 ≥ $ 19,000

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Simplifying the expression gives 6x√3x

Adding and subtracting surds is applicable where the numbers underneath the root symbols also known as radicands are the same.

From the information given, we have:

5x √3x + 2x√3x  - x√3x

We can see than the numbers within the root symbols '3x' are the same for all the three surds.

Note that if the root cases are the same, the numbers cannot be added or substracted.

Now, let's add the values outside the roots

5x √3x + 2x√3x  - x√3x

= 5x + 2x - x

= 7x - x

= 6x

We have;

6x√3x

Thus, simplifying the expression gives 6x√3x

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The advantages of writing in standard form include :

Standard form, also known as scientific notation, is a way of writing very large or very small numbers in a compact way. It is used in many fields, including science, engineering, and mathematics.

Therefore, standard form offers a more compact way of writing out the full number, and it is also easier to compare this number to other numbers in standard form.

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Answer:

x=5

Step-by-step explanation:

18x+5+18x-5=180(because they are interior angles)

38x=180

=36x/36=180/36

=5degrees

The expected winnings for the Ohio Pick 4 lottery are -$0.03, meaning that you are expected to lose money in the long run. This is because the probability of winning the jackpot is very small, while the cost of playing is relatively high.

The probability distribution for the Ohio Pick 4 lottery is as follows:

Winnings Probability

$0                0.999999

$2900         0.000001

The expected value of a lottery is the average of the possible winnings, weighted by their probabilities. In this case, the expected value is:

E = $0 * 0.999999 + $2900 * 0.000001 = $0.000029 = $0.03

This means that, on average, you can expect to lose $0.03 for every $1 you spend on the Ohio Pick 4 lottery.

The reason for this is that the probability of winning the jackpot is very small, while the cost of playing is relatively high. In order to break even, the probability of winning the jackpot would need to be much higher.

The expected value of a lottery is a theoretical concept. In reality, you may win or lose more or less than the expected value, depending on your luck. However, over the long run, you can expect to lose money if you play the lottery.

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Answer:

1) C

2) D

3) A

4) this has an error so guess for it lol

Step-by-step explanation:

Answer:

46$ in total

y=2r+20

If Isabella goes on 13 rides, she would have to pay a total of $46. If she rides 'r' times, the total cost would be expressed by the mathematical equation 20 + 2r.

This question relates to a linear relationship involving a fixed cost and a variable cost. In Isabella's case, the fixed cost is the admission fee, which is $20. The variable cost is the rides, where each ride costs $2.

So, if she goes on 13 rides, she will have to pay: $20 (for admission) + ($2 * 13 (rides)) = $20 + $26 = $46.

For r rides, the total cost would be: $20 (for admission) + ($2 * r (rides)). So the total cost for r rides can be expressed in a mathematical equation as: 20 + 2r.

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Answer:

78

Step-by-step explanation:

First we want 9 3/4 into an improper fraction.

(9 * 4) + 3 / 4 = 39 / 4

Then we want to change 39 / 4 into the same denominator as 1/8

39 / 4 * 2 = 78 / 8

And there is your answer, 78!

(hopefully this is correct, have a nice day!)

Answer:

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Step-by-step explanation:

If it is 4:00 a.m. in Honolulu when it is 2:00 p.m. in London, then the difference between times is:

\(d=14-4\\d=10\ hours\)

London is 10 hours ahead of Honolulu.

If Paul left Honolulu at 12:00 p.m, the corresponding time in London was:

\(t=12+10\\t=22 = 10:00\ p.m.\)

Since he arrived in London at 1:00 p.m. at Friday, the flight time was:

\(F= (24-22)+13\\F=15\ hours\)

The flight took 15 hours in total. If the temperature was 30°C when he boarded the flight and it decreases at a rate of 1°C per hour, the temperature when Paul arrives in London is:

\(T=30-(15*1)\\T=15^oC\)

Converting it to Fahrenheit

\(T=(15*\frac{9}{5})+32 \\T=59\ F\)

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Answer:

d

Step-by-step explanation:

Answer: So the area of the sector with a central angle of 9.6 radians and a radius of 21.4 units is approximately 1438.47 square units.

Step-by-step explanation: To find the area of a sector, we can use the formula:

A = (θ / 2π) * πr^2

Where θ is the central angle of the sector in radians, π is the constant approximately equal to 3.14, and r is the radius of the sector. In this case, θ is 9.6 radians and r is 21.4 units, so we can plug those values into the formula to get:

A = (9.6 / 2π) * π * 21.4^2

Simplifying, we get:

A = (9.6 / 6.28) * 3.14 * 461.96

This simplifies to:

A = 1.5 * 3.14 * 461.96

And finally, to get the area of the sector we multiply to get:

A = 1.5 * 3.14 * 461.96 = 1438.47 square units

So the area of the sector with a central angle of 9.6 radians and a radius of 21.4 units is approximately 1438.47 square units.

Answer:

Divide the area by pi. Then, square root the answer.

Step-by-step explanation:

Area of a cirlce= pi r^2

Answer:

You have to divide by pi (3.14) APROXIMATELY and then divide what you get by the square root.

The two equations are Cost: C(x) = 4000 + 35x and Revenue: R(x) = 150x

Given that

Purchase: 4000 for startup and 35 for each produce

Sales: 150 for each

So, we have the cost and revenue functions to be

Cost: C(x) = 4000 + 35x

Revenue: R(x) = 150x

Using “Hoodies produced and sold” for the x-axis and “AED” for the y-axis, the graph of the scenario is attached, labelled and shaded as required in the (b), (c) and (d) parts

This is the point where the lines intersect i.e. when C(x) = R(x)

From the graph, lines intersect at approximately 35

This means that the number of hoodies to break even is approximately 35

This is calculated as

P(x) = R(x) - C(x)

So, we have

P(30) = 150(30) - (4000 + 35(30))

P(30) = -550

This means that you lose 550aed on 30 sales

This is calculated as

P(x) = R(x) - C(x)

So, we have

P(50) = 150(50) - (4000 + 35(50))

P(50) = 1750

This means that you earn 1750aed on 50 sales

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Rounding this to two decimal places, the equivalent nominal interest rate compounded monthly is approximately 2.53%.

To determine the equivalent nominal interest rate compounded monthly for a given nominal interest rate compounded quarterly, we can use the formula for nominal interest rate conversion.

The formula is:

r = (1 + i/n)^n - 1

Where:

r is the nominal interest rate compounded annually (we're looking for this),

i is the nominal interest rate compounded quarterly (2.50% in this case),

n is the number of compounding periods per year (4 for quarterly compounding).

Plugging in the values, we have:

r = (1 + 0.025/4)^4 - 1

Calculating this expression, we find:

r ≈ 0.025335

Rounding this to two decimal places, the equivalent nominal interest rate compounded monthly is approximately 2.53%.

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Answer:

You would have to do 51 - 16 to find out the total amount of money Vicky spent on scented soaps. 51 - 16 = $35. You then divide by the number of items. In this case, it is 10 scented soaps. 35/10=3.5. She spent $3.50 on each soap.

Step-by-step explanation:

Hope this helps!

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The four ways to care for our nervous system are exercise, meditation, proper sleep and healthy food.

There are many ways to care and protect our nervous system. But some of the basics and the most important ways to care for our nervous system are to follow a basic routine which includes regular exercise, practicing meditation daily, having proper sleep for at least seven hours a day and having healthy food mostly.

Now, doing exercise means that we are constantly engaged in some kind of physical activity and healthy food also means to have a balanced lifestyle.

Hence, the four ways to care for our nervous system are exercise, meditation, proper sleep and healthy food.

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The trigonometric ratio for sin A of the triangle ABC is 6/10.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The diagram shows the right triangle XYZ.

The triangle ABC is similar to XYZ, so the corresponding sides of the triangles are also similar.

The trigonometric ratio for sin θ is

\(sin \theta = \frac{opposite}{adjacent}\)

Here we need to find ratio for sin A,

opposite side = 6

adjacent side = 10

Thus, \(sin A = \frac{6}{10}\)

Hence we can conclude that the trigonometric ratio for sin A of the triangle ABC is 6/10.

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The SRED Credit remainder after applying the maximum SRED Credit for this year is $0.

The Scientific Research and Experimental Development (SRED) program provides tax incentives for companies conducting eligible research and development activities. The SRED credit is calculated based on qualified SRED expenses and can be used to reduce the tax liability of a company.

In this case, the qualified SRED expenses for the current year are $10,000. However, the SRED credit remainder is determined after applying the maximum SRED credit for the year. Since the maximum SRED credit has already been applied, the remaining SRED credit is $0.

The taxable loss from the previous year ($50,000) and the part I tax before SRED ($1,500) are not directly relevant to determining the SRED credit remainder. The maximum SRED credit has already been utilized, resulting in a remaining credit of $0.

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Answer:

The angles are supplementary.

x = 31

Step-by-step explanation:

The way the two angles lay together and make a straight line shows that they are supplementary. Supplementary means that they add up to 180°

Use this idea to write an equation.

2x + 3x + 25 = 180

combine like terms

5x + 25 = 180

subtract 25

5x = 155

divide by 5

x = 31

Answer:

x = 31

Step-by-step explanation:

(3x + 25) and 2x are a linear pair and are supplementary, that is

3x + 25 + 2x = 180

5x + 25 = 180 ( subtract 25 from both sides )

5x = 155 ( divide both sides by 5 )

x = 31

Answer:

40m³

Step-by-step explanation:

\(\sqrt[3]{5}\) = 1.709975947

1.709975947 × 2 = 3.419951893

3.419951893³ = 40

Answer:

volume of the box multiply scale factor

=5 × 2

=10m

A second linearly independent solution of y₂ is \(-\frac{1}{6x^3}\)

The general Equation is y" + P(x)y' + q(x)y = 0 ...............(i)

where P(x), Q(x) are continues in the internal I ≤ R.

If y₁(x) is a solution of equation 1 in I then y₁(x) ≠ 0.

Then y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\) is another solution.

The differential equation is x²y" + xy' – 9y = 0 where x > 0.

As y₁(x) = x³ is one solution of differential equation.

Divide throughout by (x²) to given differential equation.

1/x² (x²y" + xy' – 9y = 0)

y" + (y'/x) – (9/x²)y = 0 ................(ii)

By comparing equation (i) & (ii) we get:

p(x)=1/x , q(x)= –are continuous for x>0

So, another solution,

y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\)

Now putting the values of P(x) And Q(x)

y₂(x) = \(x^3\int\limits {\frac{e^{\int(1/x)dx} }{(x^3)^2}} \, dx\)

y₂(x) = \(x^3\int\limits {\frac{\frac{1}{x} }{x^6} }} \, dx\)

y₂(x) = \(x^3\int\limits {\frac{1}{x^7} }} \, dx\)

y₂(x) = \(x^3\int\limits {x^-7} } \, dx\)

y₂(x) = \(x^3\left[\frac{x^{-7+1}}{-7+1}\right]\)

y₂(x) = \(-\frac{1}{6}(x^3\times x^{-6})\)

y₂(x) = \(-\frac{1}{6x^3}\)

So, the answer of this question is \(-\frac{1}{6x^3}\).

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Answer: k = $0.50

Step-by-step explanation:

The data that we have is:

Rocko paid: $12.50 for 25 tickets.

Louisa paid: $17.50 for 35 tickets.

Now, the question asks to find the constant of proportionality.

A proportional relation can be written as:

y = k*x

where k is the constant, and in this case, y is the price and x the number of tickets bought.

Then replacing with the values above, we have:

$12.50 = k*25

then:

k = $12.50/25 = $0.50

And the other data:

$17.50 = k*35

K = $17.50/35 = $0.50

So we have the same k in both cases, this means that the constant of proportionality is k = $0.50

Answer:

Your answer is:

(x+2)^2

Factor x2+4x+4

x2+4x+4

The middle number is 4 and the last number is 4.

Add together to get 4

Multiply together to get 4

2+2 = 4

2*2 = 4

(x+2)(x+2) or (x+2)^2

Answer:

Step-by-step explanation:

Using the ground as the base of a triangle and the building as the height,

the shadow cast would be the hypotenuse of a right triangle.

Sun is casting a 57 degree angle with the base and the hypotenuse, this question can be solved using sin ratio.

54 ft is the side opposite the 57° angle.

Let the hypotenuse or shadow = x

sin57° = 54/x

.8389 = 54/x

multiply each side by x

.8389x = 54/x · x

.8389x = 54

Divide each side by .8389

x = 64.37

round to 64.4 feet

Answer:

I sorry can't help I'm doing Geometry

Answer:

b) x = 24

Step-by-step explanation:

if y is 24 and x is 16, they make the fraction \(\frac{24}{16}\)

this can be simplified to \(\frac{3}{2}\) if you divide both sides of the fraction by 8.

36/3 is 12, and 12 * 2 = 24.

so, x = 24

Answer:

x=24 or B is the correct answer.

I took the test, and this was the correct answer. Hope this helped-!

Answer:

yeah its C. composed and ejected

Step-by-step explanation:

i took the test :) edge 2022

Answer:

Center: (0, 0)

Vertices: (0, 6), (0, -6)

Foci:  (0, 3√5), (0, -3√5)

Asymptotes: y = 2x, y = -2x

Step-by-step explanation: