Jacinta, an internet website designer, works a 38 hour week and earns $3115.35 every fortnight. Calculate her earnings:
a) per year
b) per week
c) per hour
Giving 65 points

The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Jada's water bottle holds 20 ounces of water.

Let the water bottle holds x ounces of water.

She drank 12 ounces of water.

this is equivalent to 60%

Hence 60% of x = 12

or, 0.6x = 12

or, x = 20 ounces

Therefore the bottle holds 20 ounces of water.

The English word percentage which refers to fractions with a denominator of 100, was derived from the Slang term "per centum," which means "by the hundred."

In other words, it is a connection where it is always assumed that the value of the whole is 100. The proportion of each reading to the total value is represented by the actual number whenever we have two or more readings that sum up to 100.

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Answer:

Two

Step-by-step explanation:

40*10 = 400

400 has two zeroes

There are two zeroes in the product of 40x10 because the product of the numbers 40 and 10 is 400.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Two numbers are 40 and 10

As we know, from the definition of the arithmetic operation,

After multiplication :

= 40x10

= 400

As we can see in the above number there are two zeroes.

Thus, there are two zeroes are in the product of 40x10 because the product of the numbers 40 and 10 is 400.

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Answer:

It is a right-obtuse angle

Step-by-step explanation:

An angle of 98 degrees is an obtuse angle.

An obtuse angle is an angle that is greater than 90 degrees but less than 180 degrees.

The word "obtuse" comes from the Latin word "obtusus," which means "blunt." This is because obtuse angles look like blunt points.

Obtuse angles are often found in triangles. Obtuse angles are also found in other shapes, such as trapezoids and pentagons.

Therefore, an angle of 98 degrees is an obtuse angle.

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The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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Answer:

x + y = 129

with possible solution

128 and 1

Step-by-step explanation:

128 + 1 = 129

There are infinitely many solutions if you don't specify the difference.

The price per hour for the service business, based on a 75% profit with a cost per hour of $30, is $52.50.

To calculate the price per hour for a service business with 75% profit and a cost per hour of $30, we need to take into account the desired profit margin, which is 75%. This means that the total price per hour should be 175% of the cost per hour, since 100% covers the cost and 75% is the desired profit.

To calculate the total price per hour, we can multiply the cost per hour by 1.75 (175%). This gives us a total price per hour of $52.50. This means that for every hour of service provided, the business will charge $52.50, with $30 covering the cost of providing the service, and $22.50 (75% of $30) being the profit margin.

It is important to note that the price per hour may vary depending on factors such as competition, market demand, and value proposition. It is recommended to conduct a thorough market analysis and consider these factors when determining the pricing strategy for a service business.

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Step-by-step explanation:

the correct answer is option a 6a-7

Answer:

\( -0.2(x - 4) = - 1.7 \)

\( -0.2x + 0.8 = - 1.7 \)

\( -0.2x = - 2.5 \)

\( x = 12.5 \)

Step-by-step explanation:

Solving \( -0.2(x - 4) = - 1.7 \) using the distributive property:

\( (-0.2)(x) + (-0.2)(-4) = - 1.7 \)

\( -0.2x + 0.8 = - 1.7 \)

Subtract 0.8 from both sides

\( -0.2x + 0.8 - 0.8 = - 1.7 - 0.8 \)

\( -0.2x = - 2.5 \)

Divide both sides by -0.2

\( \frac{-0.2x}{-0.2} = \frac{-2.5}{-0.2} \)

\( x = 12.5 \)

Answer:

Less than 4.70 GB

Step-by-step explanation:

Let x = # of GB that Janelys uses that month. Since Janelys wants to pay less than $70 given that the flat rate for subscribing to that company's data per month is $46.50 and each GB costs $5 to use, the inequality can be written as:

5x + 46.50 < 70

5x < 23.50                        Subtract $45.60 from each side.

x < 4.70 GB                       Divide 5 from each side.

Thus, (if it is whole numbers) Janelys can use 4 GB while staying within her budget or (if decimals are fine) anything less than 4.70 GB. Hope this helped! :D

The probability of not selecting a purple marble when choosing one marble from the bag is 60%.

To determine the probability of not selecting a purple marble when choosing one marble from the bag, we need to find the number of marbles that are not purple and divide it by the total number of marbles in the bag.

The number of marbles that are not purple is the sum of red, green, and yellow marbles. Therefore, the number of marbles that are not purple is 3 + 3 + 9 = 15.

The total number of marbles in the bag is the sum of all the marbles: 3 + 3 + 9 + 10 = 25.

So, the probability of not selecting a purple marble is 15/25 = 0.6, which is equivalent to 60%.

Therefore, the probability of not selecting a purple marble when choosing one marble from the bag is 60%.

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A decrease in the price of cotton can have positive effects on the affordability and availability of socks in the market, benefiting consumers by potentially offering lower prices and a wider range of choices.

If the price of cotton falls in the market for a bag of socks, it is likely to have an impact on the overall cost and availability of socks. Cotton is a common material used in the production of socks, and its price plays a significant role in determining the cost of manufacturing.

When the price of cotton falls, it reduces the cost of raw materials for sock manufacturers. As a result, manufacturers may experience lower production costs. This can lead to several outcomes:

1. Decrease in sock prices: With lower production costs, manufacturers have the option to reduce the prices of socks to attract customers. This can result in more affordable socks for consumers, making them more accessible.

2. Increase in sock supply: Lower production costs may incentivize manufacturers to increase their sock production. As a result, the supply of socks in the market could rise, leading to a greater availability of socks for consumers.

3. Potential for improved quality or additional features: Manufacturers may choose to invest the cost savings from lower cotton prices into enhancing the quality of socks or adding extra features. This can result in socks with improved durability, comfort, or design, providing more options for consumers.

It's important to note that the impact of falling cotton prices on sock prices and availability may also depend on other factors, such as production and distribution costs, market competition, and consumer demand. Additionally, the extent to which the price reduction in cotton translates into lower sock prices may vary among different brands and retailers.

Overall, a decrease in the price of cotton can have positive effects on the affordability and availability of socks in the market, benefiting consumers by potentially offering lower prices and a wider range of choices.

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Answer:

8) B is steeper.

9) the equation is (30,7)

The respective names of the point of concurrency is:

1. Circumcenter

2. Incenter.

3. Centroid

4. Orthocenter

Point of concurrency:

The point of concurrency is a point where three or more lines or rays intersect with each other.

Circumcenter:

The circumcenter is the point of concurrency of the perpendicular bisectors of all the sides of a triangle.

Incenter:

The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle.

Centroid:

The point where three medians of the triangle meet is known as the centroid.

Orthocenter:

The point where three altitudes of the triangle meet is known as the orthocenter.

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To calculate the reliability of the bank loan processing system with backup components, we can use the concept of series-parallel system reliability.

In the original system, the three components are connected in series. To calculate the overall reliability of the system, we multiply the reliabilities of the individual components:

R_system = R_1 * R_2 * R_3 = 0.82 * 0.991 * 0.98 ≈ 0.801

So, the reliability of the bank loan processing system without backup components is approximately 0.801.

Now, if each of the three components has a backup with a reliability of 0.80, we have a parallel configuration between the original components and their backups. In a parallel system, the overall reliability is calculated as 1 minus the product of the complement of individual reliabilities.

Let's calculate the reliability of each component with the backup:

R_1_with_backup = 1 - (1 - R_1) * (1 - 0.80) = 1 - (1 - 0.82) * (1 - 0.80) ≈ 0.984

R_2_with_backup = 1 - (1 - R_2) * (1 - 0.80) = 1 - (1 - 0.991) * (1 - 0.80) ≈ 0.9988

R_3_with_backup = 1 - (1 - R_3) * (1 - 0.80) = 1 - (1 - 0.98) * (1 - 0.80) ≈ 0.9992

Now, we calculate the overall reliability of the system with the backups:

R_system_with_backup = R_1_with_backup * R_2_with_backup * R_3_with_backup ≈ 0.984 * 0.9988 * 0.9992 ≈ 0.981

Therefore, the reliability of the bank loan processing system with backup components is approximately 0.981.

Comparing the two scenarios, we can see that introducing backup components with a reliability of 0.80 has improved the overall reliability of the system. The total reliability increased from 0.801 (without backups) to 0.981 (with backups). Having backup components in a parallel configuration provides redundancy and increases the system's ability to withstand failures, resulting in higher reliability.

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Answer:

Step-by-step explanation:

i would be keen to answer your question.

but please provide more information in order for us to help you solve the problem.

thanks.

Answer:

I believe it is the first one. I know it isn't the second one

Answer:

15/2=7 R1

Step-by-step explanation:

2.25 km on the ground is represented by 9cm on the map.

What is the actual distance?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Here, we have

Given: The scale on the map is 1:25000

We have to find the actual distance of 9 cm on the map.

First, we have to find the actual distance of 1 cm on the map:

1cm = 25000cm

1cm = 250m

1cm = 0.25km

Now Find the actual distance of 9 cm on the map:

1cm = 0.25km

9cm = 9(0.25) = 2.25km

Hence, 2.25 km on the ground is represented by 9cm on the map.

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Answer:B.(5 x 4)+(2x3)

Answer:

Grade can make 55 bracelets

Step-by-step explanation:

2640/48 = 55

Answer:

55

Step-by-step explanation:

2640 divided by 48

the answer is 55

To compute the value of the function f(x, y) = 4x - 7y² at the point (-8, 8), we substitute the given values of x and y into the function and perform the calculations.

We are given the function f(x, y) = 4x - 7y² and we need to evaluate it at the point (-8, 8). To do this, we substitute x = -8 and y = 8 into the function:

f(-8, 8) = 4(-8) - 7(8)²

        = -32 - 7(64)

        = -32 - 448

        = -480

Therefore, the value of the function f(x, y) = 4x - 7y² at the point (-8, 8) is -480.

Hence, the correct option is OC: -480.

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Answer:(2x+3)(2x+3)

Step-by-step explanation:

Question will be like this Factorize the following polynomial.

4x\({2}\) +12x +9

4x\(2\) +6x+6x+9

⇒2x(2x+3)+3(2x+3)

⇒(2x+3)(2x+3)

Let Delta's age be d

\(d=\frac{117}{9}\)

Answer:

The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.

Step-by-step explanation:

a)

Let 'x' be the total number of students in Mrs. Hayko's class.

One-third of the students walk to school: (1/3)x.

The remaining students who do not walk to school: (2/3)x.

Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.

Simplify to find the fraction of students taking the bus: (8/15)x.

b)

Consider different values for 'x' to find a whole number of students taking the bus.

Start with a small number, such as x = 15.

Calculate the number of students taking the bus using (8/15)x.

If the result is a whole number, it's a possible class size.

Repeat with different values of 'x' until a whole number is obtained.

The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.

Answer:

Step-by-step explanation:

2.) 143 7/23

3.) 291 46/48

4.) 220

5.) 56

6.) 1292 63/4

Answer:

50

Step-by-step explanation:

Answer:

x =  1

Step-by-step explanation:

The degree of financial leverage for Foggy Futures Weather Forecasters

is 1.06

Degree of Financial leverage (DFL) = (EBIT) / (EBT)

Earnings Before Interest and Taxes (EBIT) = $750,000

Amount to be given as loan on $1000000

$1,000,000 x 4.5% = $1,000,000 x 4.5/100

= $45000

To find EBT ( Earnings Before Tax),

EBT = EBIT - 45000

       = 750000 - 45000

EBT = 705000

∴ DFL =  (EBIT) / (EBT)

          = 750000/705000

 DFL = 1.06

The DFL is a percentage that accountants and financial professionals use to show changes in a company's net income due to changes in its profits before interest and taxes (EBIT).

Earnings before interest and taxes (EBIT) is a measurement of a company's profit in accounting and finance that takes into account all revenues and costs (both operating and non-operating), with the exception of interest costs and income tax costs.ve

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Answer:

8.79 in

Step-by-step explanation:

23 = 150/360 × 2×3.14× r

23 = 5/12 × 6.28 x r

23 = 31.4×r / 12

31.4 r = 23×12

31.4 r = 276

r = 276/31.4

r = 8.79 in

Answer:

First you have to convert MG to G, 1 Gram is equal to 1,000 Milligrams.  If Julie has eaten a total of 9 Grams of fiber, she would need to eat 11 Grams more to get her recommended amount of Fiber

Step-by-step explanation:

1. Convert Mg to G

2. Add the amount of Grams she has already eaten.

3. Subtract the sum from twenty and multiply the difference by 1,000.