HELPPPPPP give linear function for total remaining oil reserves

The area of the complex figure is 178 square meters.

Option (A) is correct.

What is an area?

In geometry, area is the measure of the amount of surface enclosed by a two-dimensional shape or a planar figure. It is typically measured in square units such as square centimeters, square inches, or square meters.

To find the area of a rectangle, we can multiply its length by its width.

Given width = 8 m and length = 16 m, the area of the rectangle is:

Area = length x width = 16 m x 8 m
Area = 128 cm^2 ------(I)

To find the area of a rectangle, we can multiply its length by its width.

Given width = 5 m and length = 6 m, the area of the rectangle is:

Area = length x width = 6 m x 5 m
Area = 30 m^2 -----(II)

The area of a triangle is given by the formula A = 1/2 x b x h, where A is the area, b is the base of the triangle, and h is its height.

Given that the height of the triangle is 8 m and its base is 5 m, the area of the triangle is:

A = 1/2 x b x h = 1/2 x 5 m x 8 m
Area = 20 square m  ---------(III)

Adding (I), (II) and (III), we get

Area = 128 + 30 + 20

Area = 178 sq.m

Hence, the area of the complex figure is 178 square meters.

Option (A) is correct.

To learn more about the area, visit:

https://brainly.com/question/25292087

#SPJ1

Answer:

The area of the complex figure is 178 square meters. Thus, Option (A) is correct.

Yeah, your right the answer would be -39.1%

Answer:

look in the comments and have a good day

Answer:

difference: -4 cubic inches

% change: -10%

Step-by-step explanation:

The difference between the new volume and the original volume is ...

 (new volume) - (original volume) = (36 in³) - (40 in³) = -4 in²

__

The percentage change is figured with respect to the original volume:

 % change = (difference)/(original volume) × 100% = (-4 in³)/(40 in³) × 100%

 = -1/10 × 100% = -10%

Answer:

Raju spent a total of Rs 919.50. He bought 4 books at Rs 222.75 each, which cost Rs 891, and 2 books at Rs 14 each, costing Rs 28.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's first calculate the total cost of the 4 books that Raju bought:

Cost of 1 book = Rs 222.75

Cost of 4 books = 4 x Rs 222.75 = Rs 891

Now, let's calculate the amount of money Raju received by selling 2 books at Rs 14 each:

Amount received by selling 1 book = Rs 14

Amount received by selling 2 books = 2 x Rs 14 = Rs 28

Therefore, the total cost of 4 books is Rs 891 and the total amount received by selling 2 books is Rs 28. To find Raju's overall expenditure, we need to subtract the amount received from the total cost of 4 books:

Raju's overall expenditure = Total cost of 4 books - Amount received by selling 2 books

= Rs 891 - Rs 28

= Rs 863

Therefore, Raju's overall expenditure is Rs 863.

Answer:

2.5

Step-by-step explanation:

for example, if you take two of the value of x's -- 5/2, it equals 2.5

2 x 2.5 = 5

the trigonometric identity is proven below

cos(3x/2 - α) = cos(3x/2)cos(α) + sin(3x/2)sin(α)

tan(α) = sin(α) / cos(α)

sec(α) = 1 / cos(α)

therefore:

cos(3x/2 - α) = cos(3x/2)cos(α) + sin(3x/2)sin(α)

The study of the correlation between a right-angled triangle's sides and angles is the focus of one of the most significant branches of mathematics in history: trigonometry. Hipparchus, a Greek mathematician, introduced this idea.

From the question:

The following trigonometric identities can be used to demonstrate the trigonometric identity cos(α) - tan(α) - cos(3x/2 - α) = sec(α)

cos(3x/2 - α) = cos(3x/2)cos(α) + sin(3x/2)sin(α)

tan(α) = sin(α) / cos(α)

sec(α) = 1 / cos(α)

When we enter these identities into the equation's left-hand side (LHS), the following results:

cos(α) - tan(α) - cos(3x/2 - α)

= cos(α) - sin(α)/cos(α) - cos(3x/2)cos(α) - sin(3x/2)sin(α)

By locating a common denominator for the first two terms, we can reduce the expression:

[tex]cos(\alpha ) - sin(\alpha )/cos(\alpha )[/tex]

= [tex](cos^2(\alpha ) - sin^2(\alpha )) / cos(\alpha )[/tex]

= [tex]cos(2\alpha ) / cos(\alpha )[/tex]

Reintroducing this into the LHS results in:

[tex]cos(\alpha ) - tan(\alpha ) - cos(3x/2 - \alpha )= cos(2) / cos(\alpha ) - cos(3x/2)cos(\alpha ) - sin(3x/2)sin(\alpha )[/tex]

Using the identity [tex]cos(2\alpha ) = 1 - 2sin^2(\alpha ),[/tex] we can simplify the expression further:

cos(α) - tan(α) - cos(3x/2 - α)

= [tex](1 - 2sin^2(\alpha )) / cos(\alpha ) - cos(3x/2)cos(\alpha ) - sin(3x/2)sin(\alpha[/tex])

= [tex](1 - 2sin^2(\alpha ) - cos^2(3x/2 - \alpha ))[/tex] / cos(α) (using the identity[tex]sin^2(x) + cos^2(x) = 1)[/tex]

Using the identity, we can now reduce the complexity of the equation in the numerator:

cos(3x/2 - α) = cos(3x/2)cos(α) + sin(3x/2)sin(α)

Substituting this identity into the numerator, we get:

[tex]1 - 2sin^2(\alpha ) - cos^2(3x/2)cos^2(\alpha ) - 2sin(3x/2)cos(3x/2)sin(\alpha )cos(\alpha )[/tex]

In order to further simplify the expression, we can use the identity

sin(2x) = 2sin(x)cos(x):

[tex]1 - 2sin^2(\alpha ) - cos^2(3x/2)cos^2(\alpha ) - sin(3x)sin(\alpha )[/tex]

Now, using the identity[tex]cos^2(x) + sin^2(x) = 1,[/tex] we can simplify the expression to:

[tex]cos^2(\alpha ) - sin^2(\alpha ) - cos^2(3x/2) + cos^2(3x/2)sin^2(\alpha )[/tex]

Using the identity[tex]cos(2x) = 1 - 2sin^2(x)[/tex], we can further simplify the expression to:

[tex]cos(\alpha )cos(2\alpha ) - cos^2(3x/2)(1 - sin^2(\alpha ))[/tex]

[tex]= cos(\alpha )(1 - 2sin^2(\alpha )) - cos^2(3x/2)cos^2(\alpha )sin^2[/tex]

To know more about trigonometry visit:

https://brainly.com/question/29002217

#SPJ1

The correct answer to the question on parallel line is option (a), i.e: The value of x is 109°, because the labelled angles in each diagram are congruent.

Parallel lines are defined as lines that lie in the same plane, are always equidistant from each other, and therefore never intersect, and are called parallel lines. ]

A matched angle is the angle formed by the matching angle or transversal and the corresponding angle when two parallel lines intersect another line (that is, transversal). 

According to the question:

In the diagram, the angle "x" is corresponding angle to 109°, so by the property "corresponding angle axiom "of intersecting line to parallel lines

angle "x" is equal to 109°.

To learn more about parallel lines visit the link below

https://brainly.com/question/16701300

#SPJ1

1. The loan term of the truck is 5 years.

2. The contractor has to pay R30,801.67 per month towards the truck, including the insurance cover amount.

3. In in June 2022, the contractor owed the financer R669,050.10, excluding the insurance amount.

1. The loan term of the truck in years is calculated as follows:

Number of years = Loan term in months / 12

Number of years = 60 months / 12

Number of years = 5 years

Therefore, the loan term of the truck is 5 years.

2. Monthly repayments = Monthly instalment of the truck + Insurance premium

Monthly repayments = R22,301.67 + R8,500

Monthly repayments = R30,801.67

Therefore, the contractor has to pay R30,801.67 per month towards the truck, including the insurance cover amount.

3. Number of instalments paid = Loan term in months / 2

Number of instalments paid = 60 months / 2

Number of instalments paid = 30 months

The total amount of money owed to the financer excluding the insurance in June 2022 would be:

Total amount owed = Remaining instalments x Monthly instalment of the truck

Total amount owed = (Loan term in months - Number of instalments paid) x Monthly instalment of the truck

Total amount owed = (60 months - 30 months) x R22,301.67

Total amount owed = 30 months x R22,301.67

Total amount owed = R669,050.10

Therefore, in June 2022, the contractor owed the financer R669,050.10, excluding the insurance amount.

The significance of including an insurance cover when a contractor purchases a water tanker is to protect the asset from unforeseen circumstances such as accidents, theft, or damage. If the contractor did not have insurance, they would have to pay for any repairs or replacements out of pocket, which could be expensive and financially devastating. Insurance also provides peace of mind and allows the contractor to focus on their business operations without worrying about potential risks to their asset.

Learn more about loan on;

https://brainly.com/question/29593739

#SPJ1

The size of each payment for the sinking fund must be $1586.87.

A sinking fund is a collection of funds that have been put up or saved to pay off bonds or debts. A corporation that issues debt will eventually have to pay that loan back, and the sinking fund lessens the burden of a significant outflow of revenue. The corporation creates a sinking fund so that it may make contributions to it in the years before the bond matures.

The sinking fund formula is given as:

A = P * ((1 + r/n)ⁿˣ - 1) / (r/n)

61000 = P * ((1 + 0.009833/6)⁽⁶⁽⁹⁾ ⁻ ¹⁾/ (0.009833/6)

61000 = P * 38.4647

P = 1586.87

Hence, the size of each payment for the sinking fund must be $1586.87.

Learn more about compound interest here:

https://brainly.com/question/13307568

#SPJ1

A graphing calculator's tvm solver will calculate the monthly payment for a 25-year loan which comes to

N=300; I%=6.7; PV=-175000; PMT=; FV=0; P/Y=12; C/Y=12; PMT:END

A TVM solver needs the loan amount as the Present Value (PV), zero as the Future Value (FV), and N as the actual number of payments (25×12 = 300) in order to determine the loan payment.

The annual interest rate is considered by solvers to be I%. The monthly interest rate is used an HP-12C financial calculator.

Here C contains the list of numbers required to calculate the monthly payment for this $175,000 loan at a 6.7% interest rate.

Cash flow typically has a negative sign for amounts paid and a positive sign for quantities received.

Here the available options indicate that the loan amount is negative while the payment amount is positive. Also, we anticipate receiving the loan amount and making the installments.

We are Given the aforementioned standards, the indicators, in this case, are the opposite of what we typically anticipate.

Learn more about TVM here;

brainly.com/question/27392320

#SPJ

49^{1/2} and (8x)^{1/3} are correct in polynomial .

What is a polynomial, simply put?

Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an equation made up of variables, constants, and exponents (No division operation by a variable).

                           A polynomial function is a function that can be expressed in the form of a polynomial. The definition can be derived from the definition of a polynomial equation. A polynomial is generally represented as P(x). The highest power of the variable of P(x) is known as its degree.

1)  [tex]49^{1/2}[/tex]  = √49

4)  [tex](8x)^{1/3}[/tex]   = ∛8x

option 1 and 4 is correct.

Learn more about polynomial

brainly.com/question/11536910

#SPJ1

Using the given ratio we will see that each kilogram costs 15 dollars.

We know that coffee at $12 per kg is mixed with coffee at $16 per kg in the ratio of 1: 3.

Then we have 4 kilograms, and the total cost of these 4 kg is:

1*$12 + 3*$16 = $60

Dividing that between the 4 kilograms:

$60/4 = $15

Each kilogram costs 15 dollars.

Learn more about ratios at.

https://brainly.com/question/2328454

#SPJ1

The diameter and height in the picture are 2/5D and 2/5H, respectively

From the question, we have the following parameters that can be used in our computation:

Container = 2/5 smaller than in reality

This means that

Scale factor = 2/5

So, we have

Diameter = 2/5D where D = diameter in reality

Also, we have

Height = 2/5H where H = height in reality

Hence, the height in picture is 2/5H

Read more about scale factor at

brainly.com/question/15891755

#SPJ1

The value of the indicated function instances as required to be determined are as follows;

It follows from the task content that a graph is given and the indicated values are to be determined.

By observation of the graph; it follows that;

On this note, f (π) = -3.

f (π/2) = 0.

f ( -3π/2 ) = 0.

The values above are as obtained from the graph.

Ultimately, the value of the indicated function instances are as evaluated from the graph above.

Read more on function graphs;

https://brainly.com/question/17089414

#SPJ1

Bank A's CD would earn a greater amount of interest than Bank B's CD.

The interest is greater by $369.91

To determine which CD will earn the greater amount of interest, we can calculate the interest earned by each CD over the 3-year period.

For Bank A's CD, the interest earned would be:

I = P * r * t

I = $12,000 * 0.03 * 3

I = $1,080

For Bank B's CD, the interest earned would be:

A = P * (1 + r/n)^(nt)

A = $12,000 * (1 + 0.025/12)^(123)

A = $12,710.09

The interest earned on Bank B's CD would be the difference between the total amount earned and the original principal:

I = A - P

I = $12,710.09 - $12,000

I = $710.09

Hence, Bank A's CD would earn a greater amount of interest

The interest is greater by

$1,080 - $710.09

= $369.91

Learn more on Calculating which bank's CD will earn greater amount of interest here: https://brainly.com/question/29529281

#SPJ1

Answer:

200

Step-by-step explanation:

300=150%

300/3=100

150/3=50

100x2=200

50x2=100

100%=200

The value of function f(x) at x =1 will be 4.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given a function f(x) = -3x + 7

To calculate the value of the function at x = 1,

We need to substitute the value of x = 1 in the function,

thus,

f(1) = -3 * 1 + 7

f(1) = -3+ 7

f(1) = 4

This represents the point (1, 4) on function f(x) = -3x +7.

Learn more about function here:

https://brainly.com/question/29633660

#SPJ1

After using the dimensions (length and width) of the pool to determine an expression that gives the perimeter of the rectangular pool is  P = 2 (5x- 4)

What is perimeter?

When defining a length in one dimension or a form in two dimensions, a perimeter is a closed path. The perimeter of a two-dimensional figure is the region that surrounds it. It provides the length of the shape, whether it is a circle, triangle, square, or rectangle. Area and perimeter are a 2D shape's two main properties.

The area of a given rectangular pool is

6x²−11x+3

⇒6x²− (9 + 2) x + 3

⇒ 6x²− 9x - 2x + 3

⇒ 3x(2x - 3) - 1 (2x - 3)

⇒ (3x - 1) (2x - 3)

An expression that gives the perimeter of the rectangular pool is,

P = 2 [ (3x - 1) + (2x - 3) ]

P = 2 [ 3x - 1 + 2x - 3 ]

P = 2 (5x - 4)

To learn more about perimeter from the given link

https://brainly.com/question/397857

#SPJ1

After the pumping of Container A's water into Container B, the volume of water in Container B is 6,286 feet³.

The volume refers to the amount of space in a container.

The volume of a container can be determined using the following formula: πr²h, where:

Diameter = 26 feet

Height = 20 feet

The volume of water in Container A = πr²h

r = radius = diameter/2

= 20/2 = 10 feet

Volume = 22/7 x 10 x 10 x 20

= 22/7 x 100 x 20

=6,285.7

= 6,286 feet³

Diameter = 36 feet

Height = 19 feet

Thus, the volume of Container B after the pumping, which is equal to the volume of water in Container A, is 6,286 feet³.

Learn more about the volume at https://brainly.com/question/1972490.

#SPJ1

After the pumping of Container A's water into Container B, what is the volume of water in Container B?

Answer:

11, 20.

Step-by-step explanation:

5,6,8, 11 ,15, 20.

The sample space for spinning the spinner two times is -

{Blue, Orange} {Blue, Red} {Orange, Red}

{Blue, Blue} {Red, Blue} {Orange, Blue}

{Red, Red} {Orange, Orange}

What is a sample?

A sample is characterised as a more manageable and compact version of a bigger group. A smaller population that possesses the traits of a bigger group. When the population size is too big to include all participants or observations in the test, a sample is utilised in statistical analysis.

The sample space for spinning the spinner two times can be found by listing all possible outcomes of the two spins.

Each spin has three possible outcomes, so the total number of outcomes for two spins is 3 x 3 = 9.

One way to list the sample space is to use a table where the rows and columns represent the outcomes of the first and second spins, respectively.

The entries in the table represent the ordered pairs of outcomes, with the first entry corresponding to the first spin and the second entry corresponding to the second spin.

Using this method, the sample space for spinning the spinner two times is -

Blue | Blue | (Blue, Blue) | Blue | Orange | (Blue, Orange) | Blue | Red | (Blue, Red)

Red | Blue | (Red, Blue) | Red | Orange | (Red, Orange) | Red | Red | (Red, Red)

Orange | Blue | (Orange, Blue) | Orange | Orange | (Orange, Orange) | Orange | Red | (Orange, Red)

Alternatively, we can list the outcomes as an unordered set of two elements, where the order of the elements does not matter.

In this case, the sample space for two spins would be -

{Blue, Orange} {Blue, Red} {Orange, Red}

{Blue, Blue} {Red, Blue} {Orange, Blue}

{Red, Red} {Orange, Orange}

Therefore, the sample space is obtained.

To learn more about sample from the given link

https://brainly.com/question/28583871

#SPJ1

Archimedes went to sleep about 9.24 meters away from the rock where its shadow should end when it was 7 AM.

Trigonometric ratios are ratios of the sides of a right triangle to its angles. The three primary trigonometric ratios are

Sine = opposite/hypotenuse.

Cosine = adjacent/hypotenuse.

Tangent = opposite/adjacent.  

Here we have

Archimedes wanted to get up at 7. AM, but the alarm clock was yet to be invented. Archimedes knew that at 7.AM, the sunlight reaches the ground at an angle of 31°.

The rock beside which he slept was 5.55 meters tall.

Let's assume that the distance from the rock where Archimedes went to sleep is "x".  

Form a right triangle where the height of the triangle is the height of the rock (5.55 meters) and the angle between the ground and the sunlight at 7 AM is 31° and the opposite side to that angle is x.

Using trigonometry, we can solve for x as follows

tan(31°) = 5.55 / x

x = 5.55 / tan(31°)

x = 5.55/0.60086

x = 9.24 meters    

Therefore,

Archimedes went to sleep about 9.24 meters away from the rock where its shadow should end when it was 7 AM.

Learn more about Trigonometric ratios at

https://brainly.com/question/25122825

#SPJ1

The solution to the system of equations is (1/2, 5).

The elimination method involves manipulating these equations to eliminate one of the variables. This is done by multiplying one or both of the equations by a constant so that the coefficients of one of the variables are equal in both equations, but with opposite signs. The equations are then added or subtracted, depending on the signs, to eliminate one of the variables.

To solve the system of equations by elimination, we can follow these steps:

Multiply the first equation by 2 to get rid of the y-term:

16x + 14y = 78

Add the second equation to the new equation to eliminate the y-terms:

16x + 14y + 4x - 14y = 78 - 68

20x = 10

Solve for x:

x = 1/2

Substitute x = 1/2 into the first equation to solve for y:

8(1/2) + 7y = 39

4 + 7y = 39

7y = 35

y = 5

Check the solution by substituting both x = 1/2 and y = 5 into both original equations:

8(1/2) + 7(5) = 39 (true)

4(1/2) - 14(5) = -68 (true)

Therefore, the solution to the system of equations is (1/2, 5).

To know more about substituting visit:

https://brainly.com/question/30284924

#SPJ1

Answer: (look at attached file)

Step-by-step explanation:

The function to calculate her regular pay rate is y = 55x  + 75.

Her regular pay rate is 12 dollars.

Juliana expects to work overtime this week. She will work 40 hours at her regular pay rate.

She usually work 15 hours at 5 dollars per hour more than her regular rate.

Therefore, the function to calculate how much money she will make base on her regular pay rate is as follows:

let her regular pay rate = x

Therefore,

y = 40x + 15(x + 5)

y = 55x  + 75

Let's find her regular pay rate when she earns 735 dollars(including the overtime)

Therefore,

735 = 40x + 15(x + 5)

735 = 40x + 15x + 75

735 - 75 = 55x

660 = 55x

x = 660 / 55

x = 12

Therefore, her regular pay rate is 12 dollars.

learn more on functions here: brainly.com/question/30942412

#SPJ1

Answer:-3p

Step-by-step explanation: less = subtract -3+p=-3p

The number of years for 21% to remain is 78years

The time required for half of the original population of radioactive atoms to decay is called the half-life.

half life = 0.693/decay constant

decay constant = 0.693/34

= 0.02

21% of N(o) = 21N(o)/100 = N(y)

from the formula

N(t) = Noe^-kt

21N(o)/100 = Noe^-kt

21N(o)=100 Noe^-kt

divide bother sides by N(o)

21 = 100e^-kt

e^-kt = 21/100

e^-kt = 0.21

-0.02 t= ln0.21

-0.02 t= -1.56t

t = 1.56/0.02

t = 78years

learn more about half life from

https://brainly.com/question/25750315

#SPJ1

Answer:

To find the five-number summary of a data set, we need to find the minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value.

We can first put the data set in order from smallest to largest:

14, 17, 19, 23, 25, 28, 30, 34, 40, 43

The minimum value is 14, and the maximum value is 43.

To find the median, we need to find the middle value. Since there are 10 numbers in the data set, the median is the average of the fifth and sixth values:

Median = (25 + 28) / 2 = 26.5

To find the first and third quartiles, we can use the median as a reference point. The first quartile (Q1) is the median of the lower half of the data set, and the third quartile (Q3) is the median of the upper half of the data set.

The lower half of the data set consists of the first five values:

14, 17, 19, 23, 25

The median of these values is:

Q1 = (19 + 23) / 2 = 21

The upper half of the data set consists of the last five values:

28, 30, 34, 40, 43

The median of these values is:

Q3 = (34 + 40) / 2 = 37

Therefore, the five-number summary for this data set is:

Minimum = 14

Q1 = 21

Median = 26.5

Q3 = 37

Maximum = 43

Looking at the answer choices, we can see that option C is the correct answer:

OA. 14, 19, 29, 34, 43

B. 14, 23, 26.5, 30, 43

C. 14, 19, 26.5, 34, 43

OD. 14, 23, 29, 30, 43