O A. g(x) = (-6x)2
B. g(x) = -6x2
c. g(x) = x2 - 6
O D. g(x) = - x2 + 6

Answer:

D

Step-by-step explanation:

The difference in payment from year 2 to year 3 is $16334.546

Given,

Total Amount that has to be paid if total duration for paying money is 20 years = $ 315,000

Rate of interest = 5.85 %(Depreciating rate)

When , time = 2 years

Amount left which is to be paid after  2 years;

Principal × (1 - Rate/100)^time

= 315,000 × (1 - 5.85/100)²

= 315,000 × (1 - 0.0585)²

= 279223.00875

When , time = 3 years

Amount left which is to be paid after  3 years;

Principal × (1 - Rate/100)^time

= 315,000 × (1 - 5.85/100)³

= 315,000 × (1 - 0.0585)³

= 262888.463

Difference in payments from year 2 to year 3 = $279223.00875  - $ 262888.463    =$16334.546

Monthly payment = 16334.546/12 = $1361.21

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Answer:

Solution given:

m∠ADB=(4x−12)°

m∠CDB=(3x+6)°

m∠ADC =?

Since diagonal BD bisect the angle <ADC

so

m∠ADB= m∠ADC

(4x-12)°=(3x+6)°

4x-3x=6-12

x=12+6

x=18°

again.

<ADB=m∠ADB+ m∠ADC=4×18-12+3×18+6=120°

So

the m∠ADC =120°

As it's a rhoumbus angles are equal

m<ADC

Answer:

It's the second one

Step-by-step explanation:

just read the paragraph careful

Step-by-step explanation:

V=pi×r^2×h

36pi =pi × (3)^2 × h

36pi ÷ pi×9 = h

4cm^2 = h

Answer:

B

Step-by-step explanation:

1+0.02=1.02

875(1.02)^x

The equation is y = 875 (1.02)ˣ represents a town with an initial population of 875 people and an annual growth rate of approximately 2%. which is the correct answer would be an option (B).

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

Initial population = 875 people

Growth rate = 2%

The growth rate is the base of the exponent instead of the initial population.

As per the given situation, the required equation would be as:

y = 875 (1 + 2%)ˣ

y = 875 (1 + 0.02)ˣ

y = 875 (1.02)ˣ

In this equation, x represents the number of years after the initial population of 875 people.

Hence, the correct answer would be option (B).

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im not sure if you still want this but,  

Factorisation is a process in mathematics where an expression or number is written as a product of several factors. It is used in algebra to simplify equations and expressions, for example by taking out common factors or writing a number as a product of its prime factors. It can also be used to solve quadratic equations by factoring the equation into two linear factors. To use factorisation, the first step is to identify any common factors between the terms of the expression or equation, and then take them out. For example, if you have an expression such as 3x2y2 + 6x2y, you can factorise it by taking out the common factor of x2y, giving you x2y(3+6).

To estimate the percentage of families without adequate drinking water in a remote area of Africa within a 7% margin of error and 98% confidence, a sample size of approximately 327 households is necessary.

The required sample size can be determined using the formula for sample size calculation for estimating proportions. The formula is:

n = (\(Z^2\) * p * (1-p)) / \(E^2\)

Where:

n = required sample size

Z = Z-score corresponding to the desired confidence level (98% confidence corresponds to a Z-score of approximately 2.33)

p = estimated proportion (39% or 0.39 in this case)

E = desired margin of error (7% or 0.07 in this case)

Plugging in the values, we get:

n = (\(2.33^2\) * 0.39 * (1-0.39)) / \(0.07^2\)

n ≈ 326.78

Since the sample size must be a whole number, rounding up to the nearest whole number, we get a sample size of approximately 327 households. This sample size should be sufficient to estimate the percentage of families without adequate drinking water in the remote area of Africa with a 7% margin of error and 98% confidence.

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Answer:

26 miles per houre

Step-by-step explanation:

sow you put 450 amd 3.4 so you subtract but first you gat to put on the 45.0 -3.4 and then you git youre answred

In 15 days Paul will drive his delivery van 3,375 miles. Hence the correct answer is option d.

The problem statement states that Paul drives his delivery van 675 miles in 3 days. Therefore using the unitary method

⇒ 3 days = 675 miles

⇒ 1 day = (675/3) miles

⇒ 1 day = 225 miles

Hence, Paul drives his delivery van 225 miles in one day.

Therefore from the unitary method, in 15 days, Paul will drive his delivery van

⇒ 15 × 1 day = 15 × 225 miles

⇒ 15 days = 3375 miles

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Answer:

D- 3,375 miles

Step-by-step explanation:

Answer:

$320 400

Step-by-step explanation:

A leap year is something which is on 29th February they occurs every 4 years.

How much he earns a day = 150 x 2 = 300

A week = 300 x 7 = 2100

A month = 2100 x 4 = 8400

A year = 8400 x 12 = 100 800

3 years = 100 800 x 3 = 302 400

How many days for 29th February to come =

31 + 29 = 60 days

60 days = 300 x 60 = 18 000

302 400 + 18 000 = 320 400

Answer:

109,800.

Step-by-step explanation:

So to solve this first you have do 150 x  365 because there are 366 day in a  leap year.

150 x 366 = 54900

54900 would be how many apples he would have sold in 1 year. Now we have to multiply that by $2 because for every one apple he sells he get's 2 dollars.

54900 x $2 =  109,800

To check the answer solve it another way

150 x 2 = $300

That's how much money he makes in one day now multiply that by 366 because thats how many days are in a leap year.

$300 x 366 = 109,800.

Hope that helped!!!!

There are approximately 3.64 x 10¹⁸ liters of water available for human and plant use in the entire world. We can calculate it in the following manner.

To find how many liters of water are available for human and plant use, we need to multiply the total amount of water in the world (1.4 x 10²¹ liters) by the percentage available for human and plant use (0.26% or 0.0026).

The calculation is:

1.4 x 10²¹ liters x 0.0026 = 3.64 x 10¹⁸ liters

Therefore, there are approximately 3.64 x 10¹⁸ liters of water available for human and plant use in the entire world.

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Answer:(1,16) and (-1,-16)

Step-by-step explanation:

For example, the pair factors of 16 are written as

Answer:

30

Step-by-step explanation:

add 2 to 4, which =6, then divide 6 by 1/5 to get x

In 2000 Emily was 9 years old.

Given that in the year 2015 Emily was three times as old as Kaitlin while by the year 2021 Kaitlin will be half as old as Emily will be, to determine how old was Emily on the year 2000 the following calculation must be performed:

Therefore, in 2000 Emily was 9 years old.

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According to the given work and time, if Julio works for only 2 minutes, it would take approximately 3.33 minutes for both Julio and Jaden working together to change one tire.

Julio can change a tire in 5 minutes, while his twin brother Jaden takes 10 minutes. We need to determine how much time it would take for both brothers, working simultaneously, to change one tire if Julio only works for 2 minutes.

Let's assume that the time it takes for both brothers working together to change one tire is represented by "t" minutes. We can set up a proportion based on the work rates of Julio and Jaden:

Julio's work rate: 1 tire / 5 minutes

Jaden's work rate: 1 tire / 10 minutes

Combined work rate: 1 tire / t minutes

According to the work rate principle, the combined work rate is the sum of the individual work rates. Therefore, we have the equation:

1/5 + 1/10 = 1/t

To find the value of "t", we need to solve this equation. Multiplying through by the least common denominator (LCD) of 10t, we get:

2t + t = 10

Combining like terms, we have:

3t = 10

Dividing both sides by 3, we find:

t = 10/3

So, it would take both Julio and Jaden working simultaneously approximately 3.33 minutes (or 3 minutes and 20 seconds) to change one tire if Julio only works for 2 minutes.

Therefore, if Julio works for only 2 minutes, it would take approximately 3.33 minutes for both Julio and Jaden working together to change one tire.

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we can conclude that f'(0) does not exist because the limit of the difference quotient as x approaches 0 does not exist.

To determine whether the derivative of f(x), denoted as f'(0), exists at x = 0, we need to check if the limit of the difference quotient exists as x approaches 0.

The difference quotient formula for the derivative is:

f'(a) = lim (h->0) [(f(a + h) - f(a))/h]

In this case, we need to evaluate f'(0), so our formula becomes:

f'(0) = lim (h->0) [(f(0 + h) - f(0))/h]

Substituting the definition of f(x) into the formula, we have:

f'(0) = lim (h->0) [(0 + h * sin(1/(0 + h)) - 0)/h]

Simplifying the expression further, we get:

f'(0) = lim (h->0) [h * sin(1/h)/h]

Canceling out h in the numerator and denominator, we have:

f'(0) = lim (h->0) [sin(1/h)]

Now, as h approaches 0, the value 1/h approaches infinity. As sin(1/h) oscillates between -1 and 1 for all non-zero values of 1/h, the limit of sin(1/h) as h approaches 0 does not exist.

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Step-by-step explanation:

5 (x^2 -4) + 10 = 10     Expand L side

5x^2 -20 + 10 = 10

5x^2 -10 = 10                Add 10 to both sides of the eqaution

5x^2 = 20

x^2 = 4

x = + 2    or   -2  

Answer:

\(\huge\boxed{\sf x = \pm 2}\)

Step-by-step explanation:

5(x² - 4) + 10 = 10

5(x² - 4) = 10 - 10

5(x² - 4) = 0

(x² - 4) = 0/5

x² - 4 = 0

x² = 0 + 4

x² = 4

x = ±√4

\(\rule[225]{225}{2}\)

Answer:

57

Step-by-step explanation:

they are congruent

Answer:

\(\huge\boxed{57 \textdegree}\)

Step-by-step explanation:

We can use basic angle relationships to find the measure of ∠CDG.

We already know that ∠HGD is 57°. Since Lines CE and FH are parallel, we can tell that ∠HGD and ∠CDG are alternate interior angles. This means that their angle measures will be the exact same.

So, since ∠HGD is 57°, so it ∠CDG.

Hope this helped!

Answer:

let the two numbers = x and y

according to the statement : x-y=4

x+y=22

by elimination method: 2x=26

x=13

so... y = 13-4=9

Answer:

The two numbers (x and y) are 13 and 9 respectively. 13 minus 9 is 4 and 13 plus 9 is 22.

Step-by-step explanation:

Let the two numbers be x and y.

The difference between x and y (x - y) = 4. (eqn 1)

Their sum (x + y) = 22. (eqn 2)

From eqn 1, we can get that x = 4 + y

Substituting x as (4 + y) in eqn 2 gives the following:

(4+y) + y = 22

4 + 2y = 22

and 2y = 22 - 4

2y = 18

dividing both sides by 2 gives y = 9.

Substituting y as 9 in eqn 1 gives

x - 9 = 4

x = 4 + 9

x = 13

Answer:

Jill earns $57,000

Step-by-step explanation:

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The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.

1: We can use the formula to calculate the present value of the annuity:

P = A x [1 - (1+i)^-n] / i

Where

P = Present Value

A = Annuity

i = Interest Raten = Number of payments

2: Calculate the present value of each payment using the formula:

P1 = 25000 / (1.06)⁵

P2 = 25000 / (1.06)⁶

P3 = 25000 / (1.06)⁷

P4 = 25000 / (1.06)⁸

P5 = 25000 / (1.06)⁹

P6 = 25000 / (1.06)¹⁰

P7 = 25000 / (1.06)¹¹

P8 = 25000 / (1.06)¹²

3: Substitute the values into the formula to find the present value:

P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8

P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)

P = 158620.39

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Answer:          IQR = 16

Step-by-step explanation:

The given data is 25 th percentile is 64, 50th percentile is 74 and 75 th percentile is 80.

percentage : 25    50   75

 score        : 64    74    80

Median:- The median is obtained by first arranging the data in ascending or descending order and applying the following rule.

If the number of observations is odd, then the median is  observation

term

If the number of observations is even, then the median is  observation and  observations.

given n=3, middle term is '74'

In this given data the median is (M) = 74

Interquartile range IQR = median of upper half-median of lower half

                                      = 80-64

                                      = 16

                           IQR = 16

Among the options provided, option C is true: software programming does involve multiple roles. Option C

A. Basically the maintenance is very minimal not greater than 60% of overall development costs.

This statement is not necessarily true. While it is true that maintenance costs can vary depending on the specific software and its usage, it is not accurate to say that maintenance is always minimal and not greater than 60% of overall development costs.

Maintenance can be a significant portion of the total cost of software development, especially for complex systems or long-term projects. It involves activities such as bug fixing, updates, enhancements, and support, which can require substantial resources.

B. Indefinite lifespan.

This statement is generally not true. Software typically has a finite lifespan. The lifespan of software can vary depending on factors such as its purpose, technology advancements, user needs, and market demand.

Software may become obsolete or be replaced by newer versions or alternative solutions over time. However, some software may have longer lifespans if it continues to serve a critical purpose and undergoes regular updates and maintenance.

C. Involve multiple roles.

This statement is true. Software programming typically involves multiple roles. Developing software requires a collaborative effort and involves various roles such as software developers, software architects, quality assurance engineers, project managers, and stakeholders. Each role plays a crucial part in the software development lifecycle, contributing their expertise and responsibilities to ensure the successful creation and delivery of software applications.

Option C is correct.

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Answer:

(-6,8) is your answer.

Step-by-step explanation:

1. 2x + 3y = 12

2. 2x +3 * 8 = 12

3. 2x + 24 = 12

4. 2x = -12

5. x = -6

So, our final answer is (-6,8)

Answer:

26.5%

Step-by-step explanation:

i did the math, that answer should be correct, but the question is stated  strange.

Answer:

Infinite amount of solutions.

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define equation

6y + 4 - 3y - 7 = 3(y - 1)

Step 2: Solve for y

Here we see that there will be infinite amount of solutions. We can plug in any number y and it will render the equation true.

No solutions.

General Formulas and Concepts:

Order of Operations: BPEMDAS

Regular + Equality Properties

Step-by-step explanation:

Step 1: Define equation

6y + 4 - 3y - 7 = 3(y - 1)

Step 2: Solve for y

Combine like terms:                         3y - 3 = 3(y - 1)

Distribute 3:                                       3y - 3 = 3y - 1

Subtract 3y on both sides:               -3 ≠ -1

Here we see that there will be no solutions of y.

Answer:

(B)

Step-by-step explanation:

Can't explain lol, but that's the answer