The perimeter of a quadrant of a circle is 71.4cm. Find its area ​

24 cupcakes in 1 hour and 18 cupcakes in 3/4 hour (or 45 minutes) both have same rate of change.

The rate of change refers to the speed at which a variable or quantity changes over a given period of time. It is often expressed in terms of units per time, such as meters per second or dollars per year. The rate of change can be positive or negative, depending on whether the variable is increasing or decreasing.

A constant rate refers to a fixed or unchanging rate of change over time. In other words, it is a steady and consistent rate that does not fluctuate or vary. This term is commonly used in mathematics and finance to describe situations where a value or quantity changes at a constant rate over a given period of time.

Athena made 3 dozen cupcakes in 1 1/2 hours. To find the constant rate of change, we need to determine the number of cupcakes she made per hour.

1 dozen = 12 cupcakes

So, Athena made 3 dozen cupcakes = 3 x 12 = 36 cupcakes.

Constant rate of change = Cupcakes made / Time taken

Option 1: 24 cupcakes in 1 hour

Option 2: 18 cupcakes in 3/4 hour (or 45 minutes)

Both options represent the same constant rate of change as Athena's, which is 36 cupcakes per hour.

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9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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Answer: There are no real solutions

Answer:

About -3.5

Step-by-step explanation:

x^2 - 2^2 = -16

x^2 - 4 = -16

x^2 = -12

x = the square root of -12

x is about - 3.5

Answer:

(0,0) and (4,0)

Step-by-step explanation:

X-intercepts are the points on a graph where the line intersects the x-axis.

Answer:Y=0

Step-by-step explanation:

The angle  made by one of the tensions suspending particle P is 50⁰.

The angle θ made by one of the tensions is calculated by applying trig identities as follows;

the force opposite the angle = weight of the block = mg

W = 7.75 kg x 9.8 m/s²

W = 75.95 N

The angle θ made by one of the tensions is calculated as follows;

cos θ = (38 N ) / ( 59 N)

cos θ = 0.6441

θ = arc cos (0.6441)

θ = 50⁰

Thus, the angle θ made by one of the tensions is determined as 50 degrees.

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The missing part of the question is in the image attached.

Answer:

20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Substitute the x's for multiplication signs

\(5^{2} x(7-3)/5=25x(7-3)/5=25x(4)/5=100/5=20\)

The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).

In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.

To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.

Therefore, the probability that both players show rock in the first round can be calculated as follows:

P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9

So the probability that both players show rock in the first round is 1/9 or approximately 0.111.

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Answer: If you minus it the answer is -0.488692191 rad

I think

Step-by-step explanation:

How do you find the second of an angle?

The whole part of the measure of an angle in decimal degrees is the whole number of degrees. Multiplying the decimal part by 60 gives the number of minutes. If this number of minutes has a decimal part, then multiplying this decimal part by 60 gives the number of seconds.

These are my opinion

Answer:

\(a(1) = 144\)

\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)

\(a(n) = - \frac{1}{6} a(n - 1)\)

There are countless possibilities for shapes that are similar but not congruent to shape 1, as long as they maintain the same proportions and shape.

There are many shapes that are similar but not congruent to shape 1. Similar shapes have the same shape, but their sizes may be different. In contrast, congruent shapes have the same shape and size.

One example of a similar shape to shape 1 is a rectangle that is twice as long and half as wide. Another example could be a square that is three times larger in area than shape 1.

A parallelogram that has the same base as shape 1 but is three times as tall is also similar but not congruent.

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Answer:

12/5

Step-by-step explanation:

me smart

Answer:

1 17/25

that's the answer if it's supposed to be simplified

The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

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Answer:

Hike 1 : 768, -96, 672

Hike 2: -62, 82, 20

Hike 3: 62, -100, -38

Hike 4: 354, -225, 129

Hike 5: -20, -40, -60

The -20 is at what surface level Lin began Hike 5 at. From there, they continued to go in this situation lower by - 40, and arrive at the surface region of -60.

Negative numbers in the present circumstance mean under 0. (Underneath surface region)

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:

The answer is No solution

Step-by-step explanation:

Solve 3x+ -1/3y = 20 for x:

3x+ −1/3y+1/3y=20+1/3y(Add 1/3y to both sides)

3x=1/3y+20

\(3=\frac{1}{3}\frac{}{} y\frac{+20}{3}\)   Divide both sides by 3

x\(=\frac{1}{9} y +\frac{20}{3}\)

Substitute 1/9y+20/3  for x in−18x+2y=−30

−18x+2y=−30

-18\((\frac{1}{9}y +\frac{20}{3} +2y=-30\))

−120=−30 (Simplify both sides of the equation)

−120+120=−30+120 (Add 120 to both sides)

0=90

Answer:

a.1 1 2 3

2'4'5'10 that is ig

The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.

A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?

The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.

The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'

Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).

Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.

Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200

Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.

The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.

The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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When you calculate (ln)5 you are also finding the value of the expression loge(5). Option A is right.

These are the functions that are given as the inverse of exponential functions. They are written in exponent base and can also be written in base 10

This is peculiar to our question because it is written in base 10

This would have

Log(a) to be written as  log10(a)

While its inverse ln(a) would be written as loge(a)

With the explanation that I have given here, we would follow the same pattern as we find the way to write the expression

ln(5) would be written as loge(5)

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Answer: the the 2nd circular one

Step-by-step explanation: Functions can't just go in a circle, they will repeat the x value

There can be multiple outputs (monthly charges) for a given input (number of credit cards), violating the definition of a function. hence, Situation 3 does not represent a function.

Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned does not represent a function.

In a function, each input (or x-value) should have a unique output (or y-value). However, in this situation, the total amount of money charged monthly on credit cards depends on the number of credit cards owned. It is possible to have different credit card numbers but still have the same total amount of money charged monthly.

For example, two people could own different numbers of credit cards but have the same monthly charges.

As a result, the definition of a function can be violated by having many outputs (monthly charges) for a single input (number of credit cards).

Because of this, case 3 does not represent a function.

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Answer:

$31.5

Step-by-step explanation:

X * 5% = $1.50

X = $1.50 / 5%

Or by using simple rule of three:

If 5% is $1.50

Then 100% is X

So you obtain = $30

Now you just need to sum The net prices and the taxes

Net + tax = Total Charge

$30 + $1.5 = $31.5

Answer:

Step-by-step explanation:

1)

Three-Fourth

2)

Twelve Million One Hundred Thirty One Thousand Two Hundred Sixty Seven and Twenty Five Hundredths

3)

Seventy Five Percentage

4)

One Thousand Two Hundred and Fifty Six

5)

Twelve is to Twenty Six

Quickly does a cube's diagonal grow if its edges increasing at a rate of 19.9 cm/s.

d(Df)/dt = 19.9 √2   [cm/s]

and d(Dc)dt = 19.9√3  [cm/s]

Given that,

We have to find how quickly does a cube's diagonal grow if its edges grow at a rate of 19.9 cm/s.

Two diagonals exist in a cube, if you think about it. One is a cube diagonal (Dc) while the other is a face diagonal (Df) (Dc). Let's say that the edge's length is x.

Then, Df = √(x₂ + x₂) = x √2 ----------------------(1)

        Dc = √(x₂ + x₂ + x₂) = x √3 ---------------(2)

Therefore, if you separate out each equation for time t,

        d(Df)/dt = dx/dt times √2   -------------------(3)

        d(Dc)/dt = dx/dt times √3 --------------------(4)

The edges are growing at a rate of 2 cm/s, hence in equation (3), dx/dt = 19.9 cm/s (4).

Therefore, d(Df)/dt = 19.9 √2   [cm/s]

               and d(Dc)dt = 19.9√3  [cm/s]

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a = uk/b

u = ab/k

uk = ab

a = uk/b

Answer: The two numbers that multiply to -65 and add to -8 are -13 and 5.

Steps: Here are the steps to find two numbers that multiply to -65 and add to -8:

Write down the equation x * y = -65 where x and y are the two numbers you’re looking for.

Write down the equation x + y = -8.

Solve for one of the variables in one of the equations. For example, solving for x in the second equation gives us x = -8 - y.

Substitute this expression for x into the first equation: (-8 - y) * y = -65.

Solve this quadratic equation for y: -y^2 - 8y + 65 = 0.

Use the quadratic formula to find the values of y: y = (-(-8) +/- sqrt((-8)^2 - 4 * (-1) * 65)) / (2 * (-1)).

This gives us two possible values for y: -13 and 5.

Substitute these values back into one of the original equations to find the corresponding values of x. For example, when y = -13, we have x = -8 - (-13) = 5. When y = 5, we have x = -8 - 5 = -13.

So, the two numbers that multiply to -65 and add to -8 are -13 and 5.

Answer:

no

Step-by-step explanation:

so

The value of x will be 18.67 for the given data of the triangle.

We have,

Thale's theorem:

When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.

Given that the sides of the triangle are divided into two parts,

For the left part the parts will be x and x + 7 for the right side the parts will be 16 and 22.

The ratio will be the same according to Thale's theorem. The value of x will be calculated as:-

x / ( x + 7 ) = 16 / 22

22x = 16x + 112

6x = 112

x = 112 / 6

x = 18.67

Therefore, the value of x will be 18.67.

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complete question;

Find the values of x and y. Find value of x.

Answer: 125 miles

Step-by-step explanation:

We know that 25 miles is 20% of the trip.

20% is 1/5 of 100, so that means we will multiply the number of miles driven by the denominator of the fraction.

25 × 5 = 125 miles

The answer to the question is 125 miles.