{(-2, 9), (0, -4), (3, 12), (1, 1))

A. Function
B. Not a Function

The average speed for the whole journey is 24.3 km per hour.

Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.

It should be noted that:

Speed = Distance / Time

Distance = 32km + 41km

= 73km

Time = 1 hour + 2 hours

Time = 3 hours

Speed = Distance / Time

Speed = 73 / 3

Speed = 24.3 km per hour.

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Answer:

DG = √[tex]2x^{2}[/tex]

Step-by-step explanation:

[tex]x^{2}[/tex] + [tex]x^{2}[/tex] = 2[tex]x^{2}[/tex]

DG = √[tex]2x^{2}[/tex]

The demand function for the marginal revenue function is p(x) = 0.02x² - 0.025x + 138.

Define Marginal revenue

Marginal revenue is a central concept in microeconomics that describes the additional total revenue generated by increasing product sales by 1 unit.

Given expression is,

R′(x) = 0.06x² − 0.05x + 138

To make R'(x) to R(x) just integrate R'(x),

R(x) = ∫ R'(x) dx

      = ∫ (0.06x² − 0.05x + 138) dx

      =  0.06x³/3 − 0.05x²/2 + 138 x  + C

We get, R(x) = 0.02x³ − 0.025x² + 138 x  + C

It's given, the revenue is 0 means no items sold so R(0) = 0.

Now, put x = 0 and find C

R(0) = 0.02(0)³ − 0.025(0)² + 138 (0)  + C

   0 = 0 + C

C = 0

So, R(x) = 0.02x³ − 0.025x² + 138 x, since C = 0

Now, take x common from R(x) will give us,

R(x) = x( 0.02x² − 0.025x + 138 )

so, R(x) = x p(x)

so, p(x) = 0.02x² − 0.025x + 138

Hence, the demand function for the marginal revenue function is p(x) = 0.02x² - 0.025x + 138.

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The corresponding angle of X is angle Q

Corresponding sides are the sides that are in the same position in any different 2-dimensional shapes. For any two polygons to be congruent, they must have exactly the same shape and size. This means that all their interior angles and their corresponding sides must be the same measure.

For two congruent shapes, the corresponding are equal.

if polygons WXYZ and PQRS are congruent, then, line XY= line QS

Therefore angle X= angle Q

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When the 10% criterion is met, we can use a binomial distribution to approximate the number of successes in a simple random sample (SRS) (as a simple random sample selects the trials without replacement).

The sample must be less than 10% of the population in order to satisfy the 10% requirement. It is fair to presume that the trials are independent because the sample is so much smaller than the population (even though the sampling occurred without replacement).

This suggests that the sample size n in this situation must be less than 10% of the population size NN.

This is the reason why 10% condition should be met.

In a binomial probability distribution, the number of successes in a series of n experiments is represented as either success or failure   (probability q = 1 p), depending on the outcome's boolean value. A Bernoulli trial or experiment is another name for a single success or failure test, while a Bernoulli process is another name for a sequence of results.

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The amount of money in the account by April 1st of the following year is $4372.78.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].

Given that, principal=$3620, rate of interest=6.5% and time period=9 months.

Here, principal compounded quarterly

Thus, Amount =3620(1+6.5/100)³

= 3620(1+0.065)³

= 3620(1.065)³

= $4372.78

Therefore, amount of money in the account by April 1st of the following year is $4372.78.

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The value of the standard error of the estimate is 6.5141.

Given :

the estimated regression equation is y = 7.6 + 0.9x

we need to find the value of the standard error of the estimate.

Regression equation ;

A regression equation is used in stats to find out what relationship, if any, exists between sets of data.

Standard error :

The standard error is a statistical term that measures the accuracy with which a sample distribution represents a population by using standard deviation.

here n = 5 and k = 2

σ = [tex]\sqrt{127.3/3}[/tex]

= 6.5141.

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Full question:

the estimated regression equation is y = 7.6 + 0.9x . a. what is the value of the standard error of the estimate (to decimals)?

Answer:

144 + 64 =208

Step-by-step explanation:

you see the 12th square number is 12 × 12 which is 144 then the 4th cube number is 4 × 4 ×4 make it 64 and the sum of all of this is 204

If fox run at speed of 10 kmph and wolf run at 11 mph , then the animal that runs faster is  wolf  .

In the question ,

it is given that ,

the speed at which the fox runs is = 10 kmph

the speed at which the wolf runs is = 11mph ,

for comparison , the units should be same ,

So , we need to convert 11 mph to kmph .

we know  that , 1 mile per hour = 1.60934 kmph ,

So , 11 mph = 17.7028 kmph .

So , the speed at which the wolf runs is = 17.7028 kmph .

On comparison , we get that speed of wolf is greater than speed of fox .

Therefore , wolf runs faster than fox .

The given question is incomplete , the complete question is

A fox can run at a speed of 10 kmph, and a wolf can run at a speed of 11 mph. Which animal is faster ?

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Answer: the Answer is wolf

Step-by-step explanation:

the wolf can peed so it is fater

Hugo needs 15 weeks to pay back his brother completely if he pays $2 a week.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division.

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

According to the given question:

Hugo decided to pay $2 a week to his brother to buy a bicycle.

The equation y - 10 = - 2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay.

To pay back to the brother he must owe no money which is y = 0.

∴ The weeks needed is,

0 - 10 = -2(x - 10).

- 10 = -2x + 20.

2x = 30.

x = 15.

He needs 15 weeks to pay back completely.

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The probability that Lucia receives (Head, Tail, Head) within this order is 1/8.

A coin toss has a total of two possible outcomes.

Three coin flips have a total of eight outcomes possible: 2 x 2 x 2 = 8

Positive result = (Head, tail, Head) in that sequence

i.e., 1 is the number of favourable results.

As we well aware,

Probability = favourable outcome / total outcome

The needed probability follows as a result.

Probability (first head) = 1/2

Probability (second tail) = 1/2

Probability (third head) = 1/2

Thus,

Probability(Head, tail, Head) = 1/2 x 1/2 x 1/2

Probability (Head, tail, Head) = 1/8

Consequently, the likelihood that she receives (Head, Tail, Head) within this order is 1/8.

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a) The equation for the volume of the cube after t hours is of: V(t) = (0.5t + 2)³.

b) The equation for the surface area of the cube after t hours is of: S(t) = 6(0.5t + 2)².

c) The surface area will be of 216 in² after 8 hours.

Considering a cube of side length s, the surface area and the volume are given as follows:

In this problem, the side length is a function of the time, as follows:

s(t) = 0.5t + 2.

Hence the equations are given as follows:

The surface area will be of 216 in³ when:

6(0.5t + 2)² = 216

(0.5t + 2)² = 216/6

(0.5t + 2)² = 36.

Taking the square root from both sides, the time is given as follows:

0.5t + 2 = 6

0.5t = 4

t = 4/0.5

t = 8 hours.

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The taxable income in marginal tax rates for 2016 is $44964.

What is marginal tax rate?

Gross income = $88000

Adjustments = $2000

Deductions interest = $27000

Property taxes = $4036

Charitable contribution = $2000

Taxable income = 88000 - (2000 + 27000 + 4036 + 2000)

= 88000 - 35036

= 44964

Hence, the taxable income in marginal tax rates for 2016 is $44964.

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Answer:2x^3+3x^2-11x-6

Step-by-step explanation:

here's your answer hope it helps :D

Answer:

As the age of your car increases the value of that car decreases

Step-by-step explanation:

hope this helps

The provided mixed fraction (7 8/11) will have a decimal value of 7.7.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English. In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

Here,

7 8/11=(7*11+8)/11

=85/11

=7.7

The value of the given mixed fraction 7 8/11 will be 7.7 in the decimal format.

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The 20% Tony spends from his monthly salary on the wallet, the bag which cost $20 more than the wallet and the ratio of the wallet to shoe cost of 5:6, which expressed as a fraction is 5/6, indicates;

(a) Tony's monthly salary is $2,400

(b) The amount spent on the pair of shoes is (6/25) of his monthly salary

A fraction is a part of a whole item, expressed as a quotient.

Let x represent Tony's salary, from the details of the question, we get;

The amount Tony spent on the wallet = 20% of his salary

The cost of the bag Tony bought = $20 + The cost of the wallet

Ratio of the cost of the wallet to the cost of the pair of shoes = 5:6

The amount Tony had left = $844

Therefore;

The amount Tony spent on the wallet = 20% of x = 0.2·x

Amount spent on the bag = 20 + 0.2·x

Ratio of the cost of the wallet to the cost of the pair of shoes = 5:6

Therefore;

Cost of the pair of shoes = (6/5)×(0.2·x)

Therefore;

x - 0.2·x - (20 + 0.2·x) - (6/5) ×(0.2·x) = 844

0.36·x - 20 = 844

x = (844 + 20)/0.36 = 2400

(b) The amount Tony spends on the pair of shoes = (6/5) × (0.2·x)

(6/5) × (0.2·x) = (6/5) × (2/10) × x = (12/50)·x = (6/25)·x

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See steps below for proving n = 2m:

An equation is formed of two equal expressions. n=2m can be proved by solving the two of the given equation for h and then equating them together as shown below.

An equation is formed when two equal expressions are equated together with the help of an equal sign ''=''.

Given the two equations, 2n=m+h, and h=n+m. Now, solve the two of the equations for h as shown below:

Equation 1.

2n = m + h

2n - m = h

h = 2n - m

Equation 2.

h = n + m

Further, equate the value of h from both the equation,

h = h

2n - m = n + m

Bring the like terms on the same side of the equation,

2n - n = m + m

n = 2m

Hence, proved n=2m.

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

As a single trigonometric ratio (2tan(10 degrees))/(1 - tan² (10 degrees)) = tan 2x = tan 20 degree

What is Trigonometric Ratios ?

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions.

                  The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.

The expression given is

(2tan(10 degrees))/(1 - tan² (10 degrees))

By the property of Tan 2x

Tan 2x = 2tanx /(1 - tan² x)

Therefore from the formula ,

x = 10 in the given expression

Therefore as a single trigonometric ratio (2tan(10 degrees))/(1 - tan² (10 degrees)) = tan 2x = tan 20 degree

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Answer: yes tan(20°) option 4

Step-by-step explanation:

Answer: He planted 5/42 acres

Step-by-step explanation:

First, find the common of 7 and 6, which is 42

5/7 - 5/6

= 30/42 - 35/42

= -5/42

Julius's Schedule C gross profit is $72,000

($97,000 sales - $2,000 returns - $25,000 cost of goods sold = $70,000 gross profit).

income from trade or business after covering the costs of generating and disbursing goods and services: Selling scraps to textile businesses brings her a sizable profit.

A business's primary goal should be to earn a profit. Understanding where your business is producing money and where you are spending it can help you assess your level of success. Calculating your profit can also provide you this information.

Income less all costs. As an illustration, Sam's Bakery collected $900 yesterday, but its expenses, including salaries, food, and power, were $650. Profit was therefore $900 divided by $650 to equal $250.

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Answer:

x = 6 or x = 0 or x = -8

Step-by-step explanation:

Solve for x over the real numbers:

2 x^3 - 4 x^2 - 96 x = -8 x^2

Add 8 x^2 to both sides:

2 x^3 + 4 x^2 - 96 x = 0

The left-hand side factors into a product with four terms:

2 x (x - 6) (x + 8) = 0

Divide both sides by 2:

x (x - 6) (x + 8) = 0

Split into three equations:

x - 6 = 0 or x = 0 or x + 8 = 0

Add 6 to both sides:

x = 6 or x = 0 or x + 8 = 0

Subtract 8 from both sides:

Answer: x = 6 or x = 0 or x = -8

The trains leaving atlanta for new york every 30 minutes....it takes 10 hours   so there is 20 trains on the track when YOUR

NY to ATL train leaves......during the 10 hour trip ANOTHER 20 trains will launch from ATL going to NY

  so you will pass 40 trains that are going from ATL to NY    while you are travelling to ATL  

This assumes that the trains go every 30 minutes around the clock.

If they do not go around the clock , you will only pass trains that launch for the 10 hours after your departure from NY

  that would be 20 trains

Question 1

C. Congruent by ASA.

Question 2

The reason is 'definition of isosceles triangle'.

The house value is decreased by $33840 and the current value of the house is $342160

Here, we have been given a house on the market was valued at $376,000.

The value decreased by 9% .

We need to find the amount by which the house value decreased in dollar and the current value of the house.

The 9 percent of $376,000

376,000 * (9/100) = 33840

This means, the house value is decreased by $33840

So, the current value would be,

376,000 - 33840 = 342160

Therefore, the house value is decreased by $33840.

The current value = $342160

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solving the equation, the width of the rectangle was found to be 6.67 feet and the length was found to be 22.67 feet.

Let x = the width of the rectangle

Then, the length = 3x + 4

Perimeter = 2(3x + 4) + 2x = 48

2(3x + 4) + 2x = 48

6x + 8 = 48

6x = 40

x = 40/6

x = 6.67 feet

The width of the rectangle = 6.67 feet

The length of the rectangle = 3(6.67) + 4 = 22.67 feet

To solve for the length and width of the rectangle, an equation was set up using the perimeter of 48 feet. The length was represented by 3x + 4, where x is the width. After solving the equation, the width of the rectangle was found to be 6.67 feet and the length was found to be 22.67 feet.

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Answer:125=n

Step-by-step explanation: 375 divided by 3 is 125

Answer:

$ 7.2

Step-by-step explanation:

½ pound = $3.60

1 pound = x

just cross multiply.

½x = $ 3.60

0.5x = $ 3.60

x = $3.60/0.5

x = $7.2

Answer:

[tex]\huge\boxed{\sf \$ 7.20}[/tex]

Step-by-step explanation:

Given that,

1/2 pound of cheese = $3.60

Multiply 2 to both sides

1 pound of cheese = $3.60 × 2

[tex]\rule[225]{225}{2}[/tex]