What is the image point (-4, 5) after a translation right 5 units and 2 units up?

Richelle should use 50 degrees for cherry pie in her pie chart.

The total number of students is 36.

The number of students who prefer chocolate pie is 12.

The number of students who prefer apple is 8.

The number of students who prefer blueberry is  6.

Half of the remaining students prefer cherry pie and half prefer lemon.

So we can calculate the number of students who prefer cherry pie by doing is 1/2 × (36 − 12 − 8 − 6) = 5

The number of students who prefer cherry pie is 5.

The number of students prefer lemon pie is also 5.

The formula for calculating the degrees of an angle in a pie chart is given by the formula given below:

Number of degrees is,

= (number of students who prefer cherry pie / total number of students) × 360°

= (5/36) × 360°= 50°

Thus, Richelle should use 50 degrees for cherry pie in her pie chart.

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The average annual return on this investment from 2011 to 2015 is approximately 0.8%.

To calculate the value of a $1 investment made at the beginning of 2011 and its average annual return by the end of 2015, we need to multiply the successive annual returns and calculate the cumulative value.

The successive annual returns on small U.S. stocks from 2011 to 2015 are:

-3.80%, 19.15%, 45.91%, 3.26%, and -3.80%.

To calculate the cumulative value, we multiply the successive returns by the initial investment value of $1:

(1 + (-3.80%/100)) * (1 + (19.15%/100)) * (1 + (45.91%/100)) * (1 + (3.26%/100)) * (1 + (-3.80%/100))

Calculating this expression, we find that the cumulative value is approximately $1.044, rounded to three decimal places.

Therefore, a $1 investment made at the beginning of 2011 would have been worth approximately $1.044 at the end of 2015.

To calculate the average annual return, we need to find the geometric mean of the annual returns. We can use the following formula:

Average annual return = (Cumulative value)^(1/number of years) - 1

In this case, the number of years is 5 (from 2011 to 2015).

Average annual return = (1.044)^(1/5) - 1

Calculating this expression, we find that the average annual return is approximately 0.008 or 0.8% per year, rounded to two decimal places.

Therefore, the average annual return on this investment from 2011 to 2015 is approximately 0.8%.

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Step-by-step explanation:

There are 6 equal square sides that make up the cube's surface area.

Each of these square sides are 14in * 14in = 196 square inches in area.

Hence, the surface area of the container is 6 * 196 = 1176 square inches.

Answer:

5

Step-by-step explanation:

The degree of a polynomial simply means what the highest power of an variable is. In this case we see that y⁵ < y³ < y², so 5 would be our highest exponent and answer.

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{5}}}}}\)

Step-by-step explanation:

In the polynomial with one variable , highest power ( exponent ) is the degree of the polynomial.

In polynomial \( \sf{4 {y}^{3} + 3 {y}^{2} - {y}^{5} }\)

The power of 4y in the first term = 3

The power of 3y in the second term = 2

The power of y in the third term = 5

Since, the highest power is 5 , the degree of the polynomial is 5 .

Hope I helped!

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The fee charged for the R 2, 500 withdrawal from TownBank would be R 33. 30.

To find the total fee charged to withdraw the sum of R 2, 500 from TownBank, the formula is :

= 3. 30 + R 1, 20 per R 100

The amount withdrawn was R 2, 500 so the total fee charged would be :

= 3. 30 + 1, 20 x ( 2, 500 / 100 )

= 3. 30 + 1. 20 x 25

= 3. 30 + 30

= 33. 30

= R 33. 30

In conclusion, the total fee charged was R 33. 30.

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First part of the question :

The TownBank current account charges R3,30 plus R1,20 per R100 or part thereof for a cash withdrawal from a TownBank ATM. The first five withdrawals in a month are free. Determine the bank charges for a withdrawal of:

Answer:

\(2\sqrt[3]{2}\)

Step-by-step explanation:

\(log_{2}x + log_{4}x = 2\\\\log_{2}x + \frac{log_{2}x}{log_{2}4} =2\\\\log_{2}x + \frac{log_{2}x}{2} =2\\\\2log_{2}x + log_{2}x =4\\\\3log_{2}x =4\\\\log_{2}x = \frac{4}{3} \\\\x=2^{\frac{4}{3}}=2^{1+\frac{1}{3} }=2*2^{\frac{1}{3} }=2\sqrt[3]{2}\)

If the similar sides and angles of two triangles are proportionate, then the triangles are similar.

We must assess if two triangles have the same shape but perhaps different sizes in order to determine their similarity. The triangles are similar if their corresponding sides are proportionate. The triangles are not comparable if they are not proportionate. We only need to determine whether two triangles' respective sides are proportionate if we are given two triangles and are aware that their corresponding angles are congruent.

In conclusion, in order to establish whether two triangles are comparable, we must look at both the proportionality of the respective sides and the congruency of the corresponding angles. The triangles are similar if both requirements are satisfied, and we can create a similarity assertion by using the matching triangle vertices.

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Answer:

I dont know the answer but all I know is that dude broke as heck

Using proportions, it is found that the original sample weighed \(8.28 \times 10^{-9}\) grams.

The rule of three is:

1 batch - \(6.9 \times 10^{-10}\) grams.

12 batches - x grams

Applying cross multiplication:

\(x = 12 \times 6.9 \times 10^{-10} = 82.8 \times 10^{-10}\)

Applying scientific notation:

\(8.28 \times 10^{-9}\)

The original sample weighed \(8.28 \times 10^{-9}\) grams.

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We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

The  values of x will f(x) > 0 for x < 0, and f(x) < 0 for -6 < x < 0 and x > -6.

To determine the values of x for which f(x) > 0, we need to find the intervals where the function is positive. Let's analyze the function f(x) = x*-x³-6x².

First, let's factor out an x from the expression to simplify it: f(x) = x(-x² - 6x).

Now, we can observe that if x = 0, the entire expression becomes 0, so f(x) = 0.

Next, we analyze the signs of the factors:

1. For x < 0, both x and (-x² - 6x) are negative, resulting in a positive product. Hence, f(x) > 0 in this range.

2. For -6 < x < 0, x is negative, but (-x² - 6x) is positive, resulting in a negative product. Therefore, f(x) < 0 in this range.

3. For x > -6, both x and (-x² - 6x) are positive, resulting in a negative product. Thus, f(x) < 0 in this range.  

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If your required return is 6% per year, compounded monthly, and you are offered an investment that will pay you $800 a month for 40 years, the approximate amount you would be willing to pay for this investment is $16.80.

To determine the present value of the investment, we need to calculate the discounted value of the future cash flows. In this case, the cash flow is $800 per month, and the time period is 40 years, or 480 months.

Using the formula for present value, which is \(PV = CF / (1 + r)^n\), where PV is the present value, CF is the cash flow, r is the required return per period, and n is the number of periods, we can substitute the given values:

PV = $800 / (1 + 0.06/12)\(^(480)\)

Simplifying the expression, we find that the present value is approximately $16.80. This means that if you want to achieve a required return of 6% per year, compounded monthly, you would be willing to pay approximately $16.80 for this investment.

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It would take a penguin approximately 4.5 hours to travel 112.5 miles at a speed of 25 miles per hour.

To find out how long it would take a penguin to travel 112.5 miles at a rate of 25 miles per hour, we can use the formula:

time = distance ÷ speed

Substituting the values given in the question, we get:

time = 112.5 miles ÷ 25 miles per hour

Simplifying this expression, we get:

time = 4.5 hours

Therefore, it would take a penguin approximately 4.5 hours to travel 112.5 miles at its maximum speed of 25 miles per hour. It's worth noting that this calculation assumes that the penguin would maintain a constant speed throughout its journey, which may not always be the case in reality. Factors such as weather conditions, terrain, and the penguin's energy levels could all affect its speed and travel time.

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The total dollar change in labor expense from this 15% increase in productivity is [calculated value]. The percent change in labor expense is [calculated value].

Part I: Effective cost per hour per employee

To calculate the effective cost per hour per employee, we need to consider various factors such as base wage, fringe benefits, paid time off, and the number of working hours per year.

Base hourly wage: $12.30 per hour

Number of working hours per day: 8 (1 shift)

Number of holidays: 5

Number of vacation days: 7

First, let's calculate the total fringe benefits per hour:

Fringe benefits = 37% of base wage = 0.37 * $12.30 = $4.551

Next, let's calculate the paid time off per hour:

Paid time off = (Number of holidays + Number of vacation days) * 8 hours = (5 + 7) * 8 = 96 hours

Now, let's calculate the effective cost per hour per employee:

Effective cost per hour = Base hourly wage + Fringe benefits + (Paid time off * Base hourly wage)

Effective cost per hour = $12.30 + $4.551 + (96 * $12.30)

Part II: Reduction in labor cost

To calculate the reduction in labor cost due to a 15% increase in productivity, we need to consider the total number of working hours needed and the change in productivity.

Number of working hours needed every year: 306,050

Productivity increase from 70% to 85%: 85% - 70% = 15%

First, let's calculate the initial number of workers needed:

Initial number of workers = Number of working hours needed / (Productivity rate / 100)

Initial number of workers = 306,050 / (70 / 100)

Next, let's calculate the new number of workers needed after the productivity increase:

New number of workers = Number of working hours needed / (New productivity rate / 100)

New number of workers = 306,050 / (85 / 100)

Finally, let's calculate the total dollar change in labor expense:

Total dollar change in labor expense = (Initial number of workers - New number of workers) * Effective cost per hour * Number of working hours per year

To calculate the percent change in labor expense, we can use the following formula:

Percent change in labor expense = (Total dollar change in labor expense / Initial labor expense) * 100

Please provide the values for Effective cost per hour and Initial labor expense to calculate the final answers in Part I and Part II.

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Answer:

47 inches

Step-by-step explanation:

12 + 10 + 16 + 9 = 47

hope this helps you :)

perimeter means all the sides added up together.

Answer:   1. P= 12

Step-by-step explanation:

Answer:

The change between 5 and 4 is 1 and the change between -12 and 4 is 16

Step-by-step explanation:

I hope this helped

Answer:

Slope: 0, y-intercept: -1

Step-by-step explanation:

If a line is completely horizontal, the slope is 0. The equation of this line is:

y = 0x - 1 = -1

The slope is 0 and the y-intercept is -1 because that is the y-coordinate this line intercepts with.

Hope this helps!

Answer:

16 pounds

Step-by-step explanation:

1/5 is just 20% percent as a fraction so just multiply 80 by 205 to get 16.

Answer:

1.9

Step-by-step explanation:

i just took the quiz

The potential profit from planting 240 acres of cropland in corn production is $78,000.

To calculate the profit, we multiply the profit per acre in corn production ($325) by the number of acres (240). Therefore, the profit from planting 240 acres in corn would be $325 * 240 = $78,000.

This calculation assumes that all 240 acres will be planted with corn and that the profit per acre remains constant. It's important to note that actual profits may vary depending on various factors such as crop yield, market conditions, and production costs.


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Answer:

Step-by-step explanation:

lol put ur books or notes or whatever behind the device and cheat

BUT I really don’t advice u to cheat just try preparing for the exam or do as much as u can and don’t waste ur time at least u would know something while solving the exam.

Using it's formula, the solutions to the quadratic equation x² - 8x + 16 = 11 are: \(x = -4 \pm \sqrt{11}\)

A quadratic function is given according to the following rule:

\(y = ax^2 + bx + c\)

The solutions are:

\(x_1 = \frac{-b + \sqrt{\Delta}}{2a}\)

\(x_2 = \frac{-b - \sqrt{\Delta}}{2a}\)

In which:

\(\Delta = b^2 - 4ac\)

In this problem, the equation is:

x² - 8x + 16 = 11

In standard-form:

x² - 8x + 5 = 0

The coefficients are a = 1, b = -8, c = 5, hence:

\(\Delta = (-8)^2 - 4(1)(5) = 44\)

\(x_1 = \frac{-8 + \sqrt{44}}{2} = -4 + \sqrt{11}\)

\(x_2 = \frac{-8 - \sqrt{44}}{2} = -4 - \sqrt{11}\)

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Answer:

33

Step-by-step explanation:

(\((\sqrt{50})^{2} =(\sqrt{17})^{2}+a^{2} \\33=a^{2}\)

Pythagoras for that q side

\(\sqrt{33} *\sqrt{33} =33\)

the area

Answer:

-8m + 24 - 32n

Step-by-step explanation:

(-8)(m) + (-8)(-3) + (-8)(4n) = -8m + 24 - 32n

Answer:

two feet have got some really nice / chill beats and songs. I listen to mostly rock / metal so this is the best i got for you lol

Step-by-step explanation:

Answer:

15 years old

Step-by-step explanation:

Answer: 22

Step-by-step explanation:

this problem is solved by a system of equations

Let Arthur’s current age be represented by:a

His brother’s current age will be represented by: b

The first equation will be:

a = 7 + b

The second equation will be:

a + 8 = 2b

now we solve for the equations. Plug in a = 7+b into a in the second equation.
So now we have

b+7+8=2b

Simplify:

B+15=2b

15=b

We aren’t done yet though

Arthur’s brother is 15 years old but since he is 7 years older we need to add 7 to 15

Hence, Arthur is 22 years old.

Answer:

3.09

Step-by-step explanation:

divide 2.2 by 6.8 then z would equal 3.09

Answer:

z =34/11

Step-by-step explanation:

2.2z=6.8

Divide each side by 2.2

2.2z/2.2=6.8/2.2

z =34/11

Answer:

3 1/2 or said as 3.5 cups is equal to 1 pound

Step-by-step explanation:

1 Pound brown sugar is equivalent to ___3 1/2 or 3.5 __ cups

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