can someone help me with this thank you

GIven data:

The given circle equation is,

To find:

(i) the centre and the radius from the given circle equation.

(ii) to graph the circle.

(i)

to find the centre and the radius using the circle equation we need the general equation and compare it with the given equation and find the centre and radius of the circle.

Because the centre of the circle in genral given by,

and the radius of the circle is given by,

The general form of the circle equation is,

Now we need to compare the equation with given equation, but the given the given circle equation is misarraged so , let us reorder the equation as per the general equation as follows.

Now, let us compare the given equation (5) with the general equation (4) as shown bellow

thus, we find the values of g, f, c, where

Now that we know the values of g, f, c. let us subsitute in the equation (2)

to find the centre of the circle.

Thus, the centre of the circl is (2,-4).

Now, to find the radius of the circle use the equation (3) and subsitute the necessary values,

Thus, the radius of the circle is r = 3.

(ii)

Now, let us graph the circle,

the radius is (2,-4) there is a negtaive in the y axis, then the point show be in the fourth quardant.

Since the radius is 3, the cricle is drawn as shown in the figure below.

The graph of the circle is,

There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.

2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.

In the standard producer theory, a producer minimizes costs for a given level of output.

This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).

The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).

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Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

Answer:

26

Step-by-step explanation:

The question requires you to find the value of x given the expression and distance

The value of x = 26

Driver's first stoppage = 53 miles

Distance remaining = 41 miles

Total distance = Driver's first stoppage + Distance remaining

= 53 + 41

= 94 miles

Given expression:

3x + 16

If 3x + 16 = 94

Then,

3x = 94 - 16

3x = 78

x = 78 / 3

x = 26

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1.1. Accumulated depreciation:

The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.

1.2. Machine realization:

The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.

1.1. Accumulated Depreciation:

To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.

Machine bought on 1 July 2013:

Cost: R250,000

Depreciation rate: 20% per annum on cost

Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000

Accumulated depreciation for the machine bought on 1 July 2013:

As of 31 March 2014: R50,000

As of 31 March 2015: R100,000

As of 31 March 2016: R150,000

1.2. Machine Realisation:

To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.

Machine's original cost: R250,000

Accumulated depreciation as of 30 June 2015: R100,000

Net book value as of 30 June 2015:  

R250,000 - R100,000 = R150,000.

On 30 June 2015, the machine was sold for R120,000.

Realisation amount: R120,000

To record the sale:

Debit Cash: R120,000

Debit Accumulated Depreciation: R100,000

Credit Machine: R250,000

Credit Machine Realisation: R120,000

Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).

These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.

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You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.

First, the rate of change

= (483 - 210) / (23 - 10)

= 273 / 13

= 21

So, the equation for the relationship between the number of bracelets made and the number of beads used.

(y - 210) = 21 (x-  10)

y - 210 = 21x - 210

y = 21x

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The entire area is under the standard normal distribution curve, which is 1 by definition.

In other words, a typical normal random variable has a 100% chance of landing anywhere within its range of potential values (-∞ to +∞).

This makes sense since the area under the standard normal distribution curve, which is a continuous probability distribution, shows the likelihood that the random variable will take on any value within its range. Since the entire area under the curve is 1, the likelihood that any potential value for the random variable will occur is 1, or 100%.

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That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.

Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.

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Answer:

Step-by-step explanation:

-4y = -2x - 3

y = 1/2x + 3/4

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

y - 4/2 = 1/2x + 1/2

y = 1/2x + 5/2

Step-by-step explanation:

a = k/m    or       ma = k    

using 4 and 9     4* 9 = k = 36

then the equation becomes:

    ma = 36    

  using a = 6

      6 * m = 36     shows m = 6 kg

The given two lines are parallel to each other. The correct answer would be an option (A).

The slope of the line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

The lines will be parallel if they have the same slope and they will be perpendicular if the product of the slopes of the two lines is -1.

The slope of the first line can be found using the formula:

m₁ = (-2 - (-5))/(5-9) = -3/4

The slope of the second line can be found using the formula:

m₂ = (1 - (-2))/ (-8 - (-4)) = -3/4

They have identical slope, so the lines will be parallel.

Hence, the given two lines are parallel to each other.

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9514 1404 393

Answer:

  y = 3x

Step-by-step explanation:

A proportional relation has the equation ...

  y = kx

To write the desired equation, you need to know the value of k. That can be found from the given information:

  for x = 2, y = 6

  6 = k·2

  3 = k . . . . divide by 2

Now, we know the equation can be written ...

  y = 3x

Answer:  C) CD has dimensions 7 x 7

Step-by-step explanation:

When multiplying matrices the number of rows of the first matrix MUST equal the number of columns of the second matrix. I call these the "inside" numbers. The resulting dimension will be the "outside" numbers.

                 [7 x 2] × [2 x 7]

                        ↓     ↓

                        inside             These must match!

                [7 x 2] × [2 x 7]

                 ↓                  ↓

                       outside             These are the dimensions!

                7          ×        7        are the dimensions of CD

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).

When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).

As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

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Answer:

\(\frac{27}{8}\)

Step-by-step explanation:

\(\left(\frac{16}{81}\right)^{\frac{-3}{4}}=\frac{16^{\frac{-3}{4}}}{81^{\frac{-3}{4}}}\)

\(=\frac{2^{-3} }{3^{-3} }\)

\(=\frac{\frac{1}{8}}{\frac{1}{27}}\)

\(=\frac{1*27}{8*1}\)

\(=\frac{27}{8}\)

The fractions are rewritten as so that they have a common denominator as  107/100

A fraction can be described as the part of a whole element, variable or number.

The several types of fractions are;

From the information given, we have that;

13/25 and 11/20

To rewrite the fractions, we have to determine the lowest common multiple

13/25 + 11/20

52 + 55 /100

Add the numerators , we have;

107/100

Hence, the fraction is 107/100

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The graph f(x) is:

This is an exponential function of the form

where a = 1/2, b = 2, and c = -4

Comparing this graph with:

a = 1/2, b = 4, and c = -4

The graph of g(x) is therefore plotted below

The expression 5.3 x 5.3 x 5.3 x 5.3 can be written as 5.3 raised to the exponentiation and powers of 4, or \({(5.3)}^4\), which evaluates to 6241.03.which means

To express this expression as a power, we need to determine the exponent that represents the number of times 5.3 is multiplied by itself. In this case, 5.3 appears four times in the multiplication.

So, the expression can be rewritten as 5.3 raised to the power of 4, or \({(5.3)}^4\).

The formula for expressing a number multiplied by itself n times as a power is: \(a^n\)

In this case, a is 5.3 and n is 4.

To evaluate the expression, we can simply multiply 5.3 by itself four times:

5.3 x 5.3 x 5.3 x 5.3 = 6241.03

Therefore, 5.3 x 5.3 x 5.3 x 5.3 can be expressed as \({(5.3)}^4\), which is equal to 6241.03.

In summary, the expression 5.3 x 5.3 x 5.3 x 5.3 can be written as 5.3 raised to the exponentiation and powers of 4, or \({(5.3)}^4\), which evaluates to 6241.03.

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Answer:

Step-by-step explanation:

Plan A Cost = 7.5*x + 25

Plan B Cost = 10x

The left side of each equation must be equal

10x = 7.5x + 25       Subtract 7,5 x from both sides.

10x - 7.5x = 25       Combine

2.5x = 25                 Divide by 2.5

2.5x/2.5 = 25/2.5

x = 10

Answer:

The product of 9/5 and 33/4 is 9.85 units larger than 5.

Step-by-step explanation:

To determine by how much is the product of 9/5 and 33/4 greater than 5, the following calculations must be performed:

((9/5) x (33/4)) - 5 = X

(1.8 x 8.25) - 5 = X

14.85 - 5 = X

9.85 = X

Therefore, the product of 9/5 and 33/4 is 9.85 units larger than 5.

a sample that excludes subjects that are not part of the population being measured.

Answer:

   2/17

Step-by-step explanation:

We can use the slope formula when given two points

m = (y2 - y1)/ ( x2-x1)

    = ( -1- -3)/( 8 - -9)

    = ( -1+3)/( 8+9)

   2/17

Answer:

If lines are perpendicular, their slopes are the negative reciprocals

Step-by-step explanation:

Answer:

    y=3 x−4

Step-by-step explanation:

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Number which represents the area of table top which has measures of  3/4 ft by 3 1/2 ft is equal to 21/8 square feet.

As given,

Measures of a small tabletop is equal to  3/4 ft by 3 1/2 ft

length=3 1/2 ft

           =7/2 ft

Width=3/4 ft

Formula used to measure area of the small tabletop is equal to

=Length ×width

Substitute the values in formula to get a number which represents the area of small tabletop :

Area=(3/4) × (7/2)

       =21/8 square feet

Therefore, number which represents the area of table top which has measures of  3/4 ft by 3 1/2 ft is equal to 21/8 square feet.

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Answer:

Step-by-step explanation:

Let x be the number of miles you and your friend travel.We know that the cost of the bus ride is 60 cents per mile, so the total cost of the trip is 60 * x.This can be written as an equation as follows:Cost = 60 * xOr, more simply:Cost = 60xThis equation represents the relationship between the number of miles you and your friend travel and the cost of the trip. As the number of miles increases, the cost of the trip also increases at a rate of 60 cents per mile.