Find the area of the smaller sector.
140°/6 in
1404
Area =
[ ? Jin2
B В
Round your answer to the nearest hundredth.

Answer:

41

Step-by-step explanation:

f(3) = 2(3)^2 +5(x-2)

= 2(18)+ 5

= 41

1. On a credit card statement, the unpaid balance is any of the last balance that was not paid. 2. A check written for more than the balance in your account is called an overdraft.

The term "APR" means for annual percentage rate, and it refers to the total cost of credit, including interest and fees, on an annual basis. The interest rate that a credit card company charges for borrowing money on the card is known as the APR. It is computed by dividing the total yearly finance charge by the credit card's average daily balance over a year. The type of credit card, the issuer, and the borrower's creditworthiness can all affect the APR. When evaluating credit card offers and managing credit card debt, the APR is a crucial consideration.

1. On a credit card statement, the unpaid balance is any of the last balance that was not paid.

2. A check written for more than the balance in your account is called an overdraft.

3. If you cannot afford the full price of an item, you may be able to use an installment plan.

4. Unpaid balance = $106.84 - $75.00 = $31.84

Finance charge = $31.84 x 1.5% = $0.48

New balance = $31.84 + $0.48 + $36.28 = $68.60

5. The Unpaid balance = $318.60 - $80.00 = $238.60

Using the rate we have:

Finance charge = $238.60 x 1.65% = $3.94

New balance = $238.60 + $76.39 + $3.94 = $319.93

6. For the given portion of the charge we have:

finance charge = $500 x 1.5% = $7.50

Total charge = $7.50 + $6.00 = $13.50

Unpaid balance = $1,100 - $100 = $1,000

New balance = $1,000 + $65.40 + $13.50 = $1,079.90

7. For the portion we have:

Finance charge = $500 x 1.5% = $7.50

Over finance charge = $7.50 + $3.51 = $11.01

Unpaid balance = $850.68 - $25.00 = $825.68

New balance = $825.68 + $138.75 + $11.01 = $975.44

Learn more about APR here:

https://brainly.com/question/14184570

#SPJ1

Answer:

$0.75 per pound

Step-by-step explanation:

On the graph, the x is the number of pounds of tomato, and the y is the price.

We see when the x is 1 pound of tomato; the y is $0.75. So the unit rate is $0.75 per pound.

Answer:

[ -3 +(-5)][-3-(-5)]

( -8)(2)

= 16

Step-by-step explanation:

where there's x put-3 and where there's y put-5

I don't see =0 so I don't believe you will have to equate further

Answer:

-16

Step-by-step explanation:

Hello There!

For this one we also need to plug in the values and solve

(-3+(-5)(-3-(-5)

first lets distribute the -3 to -3 and -(-5)

-3x-3=9

-3x5=-15

9-15=-6

now lets distribute the -5 to the -3 and -(-5)

-5x-3=15

-5x5=-25

-25+15=-10

-10-6=-16

so the answer would be -16

The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.

To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.

Given the table:

X: 2 0 4

Y: -4 3 1

We can plot these points on a graph and see that they form a straight line.

Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.

Based on the given options, we can now evaluate each equation to see which one represents the line:

Y = 1/2x + 5

When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.

Y = -1/2x + 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.

Y = 2x - 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.

Y = -4x + 2

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.

In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.

For more question on equation visit:

https://brainly.com/question/29174899

#SPJ8

The probability density function for U is: f_U(u) = (4/(1+u)^3) * e^-(1+u)/2, u > 0

The joint distribution for the length of life of two different types of components operating in a system is given by f(y_1, y_2) = {(1/8)y_1 e^-(y_1 + y_2)/2, y_1 > 0, y_2 > 0, 0, elsewhere. We are asked to find the probability density function for U = Y_2/Y_1.

To find the probability density function for U, we first need to find the joint distribution of U and Y_1. We can do this by using the change of variables formula:

f_U,Y_1(u, y_1) = f_Y_1,Y_2(y_1, uy_1) * |J|

where J is the Jacobian determinant of the transformation.

The Jacobian determinant is given by:

J = |∂(y_1, uy_1)/∂(u, y_1)| = |y_1|

So, the joint distribution of U and Y_1 is:

f_U,Y_1(u, y_1) = (1/8)y_1 e^-(y_1 + uy_1)/2 * |y_1| = (1/8)y_1^2 e^-(1+u)y_1/2

Next, we need to find the marginal distribution of U by integrating out Y_1:

f_U(u) = ∫f_U,Y_1(u, y_1) dy_1 = (1/8)∫y_1^2 e^-(1+u)y_1/2 dy_1

This integral can be solved using integration by parts. The final result is:

f_U(u) = (4/(1+u)^3) * e^-(1+u)/2

So, the probability density function for U is:

f_U(u) = (4/(1+u)^3) * e^-(1+u)/2, u > 0

This is the final answer.

Learn more about Probability density

brainly.com/question/29129585

#SPJ11

The factored expression of (x - 3)^2 - 64y^4 is given as follows:

(x - 3)^2 - 64y^4 = (x - 3 + 8y²)(x - 3 - 8y²).

The subtraction of perfect squares is a notable product that gives the simplification of an expression containing the subtraction of perfect squares as follows:

a² - b² = (a - b)(a + b).

In this problem, the expression is presented as follows:

(x - 3)^2 - 64y^4

This expression is a subtraction of perfect squares, as the terms are given as follows:

Then the expressions are given as follows:

Then the factored expression is presented as follows:

a² - b² = (a - b)(a + b).

(x - 3)² - 64y^4 = (x - 3 + 8y²)(x - 3 - 8y²).

More can be learned about the subtraction of perfect squares at https://brainly.com/question/28792378

#SPJ1

Pat and John will meet in 3 hours.

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

here, we have,

How to calculate the value?

It should be noted that speed = Distance / Time

The appropriate equation will be:

80t + 24t = 312

104t = 312

t = 312/104

t = 3. hours

Therefore, it will take them 3 hours to meet.

Learn more about distance on:

brainly.com/question/16035228

#SPJ1

Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

Answer:

No

Step-by-step explanation:

the answer is 3.

3×3×3=27.

therefore the cube root of 27 is 3.

For the  trigonometric identity

11. If cos 27° = x, then the value of tan 63° interims of "x" is  x/√1 - x²

12. If Θ be an acute angle and 7sin²Θ + 3 cos²Θ= 4, then tan Θ is  1/√3

13. The value of tan 80° × tan 10° + sin² 70° + sin² 20° is 2

14. The value of (sin 47°/cos 43°)² + (cos 43°/sin 47°) -  4 cos²45° is 0

15. If 2 (cos²Θ - sin²Θ) = 1, Θ is a positive acute angle them the value of Θ is  30°

16. If 5 tan Θ = 4, then (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ) is equal to 1/6

17. If sin(x + 20)° = cos (x + 10)° then the value of "x" is  30°

18. The value of (sin 65°)/ (cos 25°) is 1

To solve the various   trigonometric identity;

11. Given: cos 27° = x

We know that cos (90 - θ) = sin θ

So, cos 63° = sin 27°

And sin 63° = √1 - cos²27°

Substituting cos 27° = x, we get

sin 63° = √1 - x²

Therefore, Therefore, tan 63° = sin 63° / cos 63° = cos 27° / cos 63° = x / cos 63°.

= x/√1 - x²

12. Given: Θ is an acute angle and 7sin²Θ + 3 cos²Θ= 4

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation 7sin²Θ + 3 cos²Θ= 4, we get

7 (sin²Θ/ cos²Θ) + 3 = 4/cos²Θ - 4 sec²Θ

⇒ 7tan²Θ + 3 = 4(1 + tan²Θ)

⇒ 7tan²Θ + 3 = 4 + 4 tan²Θ

⇒3 tan²Θ = 1

⇒ tan²Θ = 1/3

⇒ tanΘ = 1/√3

13. For tan 80° × tan 10° + sin² 70° + sin² 20°

⇒ tan 80° = cot (90 - 80)° = cot 10°

⇒  sin 70° = cos (90 - 70) = cos 20°

⇒ cot 10° × tan 10° +  cos 20° + sin² 20°

= 1 + 1 = 2

14. (sin 47°/cos 43°)² + (cos 43°/sin 47°) - 4 cos²45°

= (sin 47°/cos43°)² + (cos 43°/sin 47°)² - 4(1/√2)²

= (sin (90° - 43°)/cos43°)² +  (cos (90° - 47°)/sin)²  = 4(1/2)

= (cos 43°/cos 43°)² + (sin 47°/ sin   47°)² - 2

= 1 + 1 - 2 = 0

15. 2 (cos²Θ - sin²Θ) = 1

cos²Θ - sin²Θ = 1/2

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation cos²Θ - sin²Θ = 1/2, we get

cos²Θ - (1 - cos²Θ) = 1/2

2cos²Θ = 3/2

cos Θ = √3/2(cos 30° = (√3)/2

= 30°

16. Given: 5 tan Θ = 4

We know that tan Θ = sin Θ / cos Θ

So, 5 sin Θ / cos Θ = 4

5 sin Θ = 4 cos Θ

Dividing both sides of the equation by 5, we get

sin Θ / cos Θ = 4/5

∴ sin Θ = 4/5 cos Θ

given that the expression is (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ)

we substitute sin Θ = 4/5 cos Θ  into the equation

⇒(5 × 4/5 cos Θ  - 3 cos Θ)/(5 × 4/5 cos Θ  + 2 cos Θ)

= (4-3)/(4 + 2) = 1/6

17. Given: sin(x + 20)° = cos (x + 10)°

We know that sin(90 - θ) = cos θ

So, sin(x - 20)° = sin(90 - (3x + 10))°

⇒ (x - 20)° = (90 - (3x + 10))°

⇒ x - 20° = 90° - 3x + 10

⇒ 4 x = 120°

⇒ x = 120°/4

⇒ x = 30°

18. To find the value of (sin 65°) / (cos 25°), we can use the trigonometric identity:

To solve this, we can use the following trigonometric identities:

sin(90 - θ) = cos θ

cos(90 - θ) = sin θ

We can also use the fact that sin²θ + cos²θ = 1.

Rewrite sin (65°) / cos (25°)

⇒ sin (65°) = cos (25°)

∴ cos (25°)/ cos (25°) = 1

Find more exercises on  trigonometric identity;

https://brainly.com/question/24377281

#SPJ1

Answer:

His new income is $26,910.

Step-by-step explanation:

As Regi has received an increase in his annual salary that has represented $ 910 in his payment, to determine his new salary the following calculation must be performed:

910 / 3.5 = 1% salary

260 = 1% salary

260 x 100 = previous salary

26,000 = previous salary

26,000 + 910 = current salary

26,910 = current salary

Therefore, his new income is $26,910.

The minimum number of trips the bus will have to make to accommodate everyone is 5.

To find the minimum number of trips the bus needs to make, we divide the total number of people by the capacity of the bus.

1. Divide the total number of people (330) by the capacity of the bus (68):

  330 / 68 = 4.85 (rounded to the nearest whole number)

2. The result is approximately 4.85, which means that 4 trips will not be enough to accommodate everyone.

3. Since we can't have a fraction of a trip, we need to round up to the nearest whole number to ensure that everyone is accommodated.

4. Therefore, the minimum number of trips the bus will have to make is 5, as it will require 5 full trips to transport all 330 people.

It's important to note that on the fifth trip, the bus will not be completely full, as only 10 people will be left to transport. However, this is the minimum number of trips needed to ensure that everyone can go sight-seeing on the bus.

For more such questions on number, click on:

https://brainly.com/question/24644930

#SPJ8

Answer:

(-3,2)

Step-by-step explanation: The bottom most point of the graph is 3 back from 0 and 2 up from 0

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer

87.72

Step-by-step explanation:

7.5% of 68 is 5.1 so 68+5.1=73.1

20% of 73.1=14.62 sooooo                        14.62+73.1=87.72

Answer:

D) 88 feet

Step-by-step explanation:

24+24+20+20= 88

since it is a rectangle you add up the same sides by each other too.

Therefore, the price that maximizes revenue is $135, and the quantity sold at that price is q0/2.

What is the unit price?

In order to find the unit price of a certain item, we just need to divide the total price paid (or total cost) by the number of items bought.

According to given information

a. Let x be the number of $18 price increases from the original price of $180, and let y be the corresponding decrease in the number of gaming systems sold. Then we have the data point (x, y) = (0, 0) and the slope of the line is -4/18 = -2/9. Using the point-slope form of a linear equation, we have:

y - 0 = (-2/9)x

y = (-2/9)x

Substituting x = 18n, where n is the number of $18 price increases, we have:

y = (-2/9)(18n) = -4n

Let q be the quantity of gaming systems sold at a price of $180. Then the equation for the price of the gaming system as a function of the quantity sold is:

p(q) = 180 + 18n = 180 + 18(q - q0)/4 = 180 + (9/2)(q - q0),

where q0 is the quantity of gaming systems sold at the original price of $180.

b. The revenue equation is given by R(q) = q*p(q). Substituting the expression for p(q) found in part (a), we have:

R(q) = q*(180 + (9/2)(q - q0)) = (9/2)q^2 + (180 - 9q0/2)q

c. To find the price and quantity sold that will maximize revenue, we can differentiate the revenue equation with respect to q, set the derivative equal to zero, and solve for q:

R'(q) = 9q - 9q0/2 = 0

q = q0/2

Substituting q = q0/2 into the revenue equation, we have:

R(q0/2) = (9/2)(q0/2)^2 + (180 - 9q0/2)(q0/2)

R(q0/2) = (9/8)*q0^2 + (45/2)*q0

To find the corresponding price, we can use the expression for p(q) found in part (a):

p(q0/2) = 180 + (9/2)(q0/2 - q0)

p(q0/2) = 135

Therefore, the price that maximizes revenue is $135, and the quantity sold at that price is q0/2.

To learn more about the unit price visit:

https://brainly.com/question/29023044

#SPJ1

Check the picture below.

The correct option is B: The result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.

Once kids have a firm grasp on right fractions, they are exposed to mixed numbers and improper fractions.

Divide the numerator and denominator to create a mixed fractions from an incorrect fraction. The solution to this problem is the whole number portion; the leftover portion is the numerator; its denominator stays the same.

We can convert the two fractions to decimal form in order to compare them.

7.375 is equivalent to 7 3/8, and

4/5 is equivalent to 0.8.

7.375 multiplied by 0.8 results in:

7.375 × 0.8 = 5.9

Since the result is 5.9, which is less than 7.375, it follows that 7 3/8 multiplied by 4/5 is less than 7 3/8.

Thus, the result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.

Know more about the term mixed fractions:

https://brainly.com/question/1055953

#SPJ1

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

a) What is the largest area possible for the garden?

Now, let the length of the rectangular plot be 54 -2x,

and the width of the rectangular plot be x,

so that:

Then, the largest area possible for the garden will be:

b) What width will produce the maximum area?

c) The length of the garden that will produce the maximum area:

The factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).

To determine the factors of the polynomial x^3 - 12x^2 - 2x + 24 by grouping, we can follow these steps:

Step 1: Group the terms in pairs. In this case, we can pair the first two terms and the last two terms:

(x^3 - 12x^2) + (-2x + 24)

Step 2: Factor out the greatest common factor from each pair. From the first pair, we can factor out x^2, and from the second pair, we can factor out -2:

x^2(x - 12) - 2(x - 12)

Step 3: Notice that we now have a common binomial factor of (x - 12) in both terms. Factor out this common binomial factor:

(x - 12)(x^2 - 2)

Therefore, the factored form of the polynomial x^3 - 12x^2 - 2x + 24 by grouping is (x - 12)(x^2 - 2).

To more on factors:
https://brainly.com/question/15824403
#SPJ8

Answer:

$8.4

Step-by-step explanation:

take 42 divide by 5

Answer:

$8.40 will be saved by buying the shoes on sale

Step-by-step explanation:

10% of 42 is $4.20

therefore, 20% of 42 is twice the 10% amount = $8.40

a) The sum of the measures of the interior angles of the regular nonagon is given by S₉ = 1260°

b) The measure of each interior angle of the regular nonagon is a = 140°

c) The measure of each exterior angle of the regular nonagon​ is b = 40°

Given data ,

Sum of the measures of the interior angles of a regular nonagon:

The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is given by the formula:

Sum of interior angles = (n - 2) * 180°

For a nonagon, which has 9 sides, we can plug in n = 9 into the formula:

Sum of interior angles = (9 - 2) * 180

Sum of interior angles = 7 * 180

Sum of interior angles = 1260°

So, the sum of the measures of the interior angles of a regular nonagon is 1260°

Measure of each interior angle of a regular nonagon:

Since a regular nonagon has 9 sides, we can divide the sum of the interior angles (which we calculated as 1260 degrees) by the number of sides to find the measure of each interior angle:

Measure of each interior angle = Sum of interior angles / Number of sides

Measure of each interior angle = 1260 / 9

Measure of each interior angle = 140°

So, the measure of each interior angle of a regular nonagon is 140°

Measure of each exterior angle of a regular nonagon:

The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of a polygon with n sides is always 360°

Since a regular nonagon has 9 sides, we can divide 360 degrees by the number of sides to find the measure of each exterior angle:

Measure of each exterior angle = 360 / Number of sides

Measure of each exterior angle = 360 / 9

Measure of each exterior angle = 40°

Hence , the measure of each exterior angle of a regular nonagon is 40°

To learn more about sum of interior angles of a polygon click :

https://brainly.com/question/14611583

#SPJ1

Answer: A

Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.

Step-by-step explanation:

We need to write our function in the formula for Exponential Decay a(1-r)^x  

We can represent "a" in our equation as the original sample size for the substance (800 mg).

According to the formula, we need to subtract our rate of decay from 1. Remember! We CANNOT use the percent's decimal as a number. We need to convert the percent to a decimal. We do this by moving the decimal place backwards 2 places. 7.2% = .072

1 - .072 = .28

Now we have the equation f(x) = 800(0.28). But where are the variables? That is our next problem. If t is the number of years since 2001, then we need to multiply it by the rate of decay (.28t). Now there is only one variable left, which is y.
Our answer is f(x) = 800(.28t)^y

Answer:

Step-by-step explanation:

Given dimensions:

Find the area of semicircle:

Find the area of triangle:

Find the shaded area:

9514 1404 393

Answer:

  sin(∅) = -√65/65

Step-by-step explanation:

The identities that relate the cotangent, the cosecant, and the sine are ...

  csc² = 1 +cot²

  sin = 1/csc

_____

For the given values, we find ...

  csc(∅)² = 1 +cot(∅)² = 1 +8² = 65

  csc(∅) = -√65 . . . . . . . . . . . . . . . . square root with attention to sign

  sin(∅) = -1/√65 = (-√65)/65