5-Please help me (50 points)

Answer:

As supply rises, prices generally decrease.--true

As demand decreases, costs generally increase.--false

As supply decreases, prices increase.--true

The average rate of change describes how much a quantity changes as price increases.--false

As demand rises, the price of the product decreases.--false

Step-by-step explanation:

Answer:

Greatest digit: 8872.

Smallest digit:2278.

9514 1404 393

Answer:

Step-by-step explanation:

Greatest

The greatest possible number is created by putting the greatest allowable digit in the space available that has the highest possible place value. Here, the greatest digit is 8, and the highest place value of a 4-digit number is the thousands place: 8000. Once you have filled that place, you can use the digit 8 one more time in the hundreds place: 8800.

Now, the greatest digit available is the digit 7, and the left-most place you can put it is the tens place: 8870. Finally, the only digit and place available are the digit 2 and the ones place.

Your greatest 4-digit number is 8872.

Smallest

To form the smallest number, you use a similar process, filling places in the number from left to right with the smallest allowable digit. The smallest digit, 2, is allowed twice, so the smallest number that can be formed is 2278.

Answer:

True

Step-by-step explanation:

Because this sign < eats the 3

The number of years it would it take for there to be one person for every square yard is 108,325.68 years.

When there is one person for every square yard, it means that the population and land area are equal in value.

Number of years = (In FV / PV) / r

(In 19 billion / 4,079,000) / 0.043 = 108,325.68 years

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Answer:

Since p-value > ∝, H0 is accepted

Step-by-step explanation:

Calculating gives the following results.

ANOVA Table

Source DF               Sum             Mean      F Statistic P-value

                                 of Square           Square

Groups     6         191.61                      31.935        0.020          0.999

(b/w groups)

Error

(within 14          21736.08                1552.577

groups)                                                                                                    

Total  20          21927.69 1096.385                                          

1. H0 hypothesis

Since p-value > ∝, H0 is accepted.

Hence the averages of all groups considered to be equal.

Or the difference between the averages of all groups is not big enough to reject H0.

2. P-value

P-value equals 0.999. This means that if we would reject H0, the chance of type1 error (rejecting a correct H0) would be too high i.e  (99.99%)

The bigger  p-value  supports H0.

3. The statistics

The test statistic F equals 0.020, which lies in the accepted range: [-∞ : 2.8477]

The area of the composite figure is equal to 63.270 square feet.

In this problem we need to compute the area of a composite figure, which is the result of adding the areas of a semicircle and a right triangle. The area formulas of the figures mentioned above are introduced below:

Semicircle

A = 0.5 · r²

Right triangle

A = 0.5 · b · h

Where:

If we know that r = 5 ft, b = 8 ft and h = 6 ft, then the area of the composite figure is:

A = 0.5π · (5 ft)² + 0.5 · (8 ft) · (6 ft)

A = 12.5π + 24 ft²

A = 63.270 ft²

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From the table , the insurance cost for the second year based on the prescription given is : $1329

Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .

The operating cost in insurance for the second year is therefore $1329.

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The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Answer:

Step-by-step explanation:

Let the lowest integer be x, then:

x + x + 1 + x + 2 + x + 3 = -28.

When value of x is given as 3 then according to the said proportional relationship y will be  13.15.

We are given that y and x have a proportional relationship, and y = 9 when x = 2. This means that there is a constant of proportionality, k, such that y = kx.

We can use the information given to find the value of k:

y = kx

9 = k(2)

k = 9/2

Now that we know the value of k, we can use it to find the value of y when x = 3:

y = kx

y = (9/2) * 3

y = 13.5

So the value of y when x = 3 is 13.5

A ratio is a way of comparing two or more values or quantities. It is a mathematical expression that shows the relationship between different values, typically by using the symbol ":" to separate the values. For example, if we have three apples and two oranges, we can express the relationship between the apples and oranges as a ratio 3:2. Ratios can also be written as fractions, in this case the ratio 3:2 can be written as 3/2.

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Answer: Sir in what way would you like me to explain this

Step-by-step explanation:

Answer: (5 , 1)

Step-by-Step explanation:

hihi your problem is a system of question y = x-4 and  y = -x+6 okay so  graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!

y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right

y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left

once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!

the solution is  x = 5 and y = 1 which is also (5 , 1)

hopefully this was helpful !

Answer:

Slope = y2 - y1/x2 - x1

Slope = 6-4 / 1--2

Slope = 2/3

Step-by-step explanation:

hope that will help you

The slope of the line will be 2/3.

The formula for the slope will be:

= (y2 - y1) / (x2 - x1)

where,

y2 = 6

y1 = 4

x2 = 1

x1 = -2

We will slot the values into the equation which will be:

= (y2 - y1) / (x2 - x1)

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

= 2/(1+2)

= 2/3

Therefore, the slope is 2/3.

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Answer:

PV= $40,279.36

Step-by-step explanation:

Giving the following information:

Number of periods= 8*12= 96 months

Interest rate= 0.039/12= 0.00325

Future value (PV)= $55,000

To calculate the initial investment, we need to use the following formula:

PV= FV/(1+i)^n

PV= 55,000 / (1.00325^96)

PV= $40,279.36

The roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

Using the quadratic formula to solve the quadratic equation \(3x^2 - 14x - 5 = 0\),we have

\(x = (-(-14) ± sqrt((-14)^2 - 4(3)(-5))) / (2(3))\\x = (14 ± sqrt(14^2 + 4(3)(5))) / (2(3))\\x = (14 ± sqrt(196 + 60)) / 6\\x = (14 ± sqrt(256)) / 6\\x = (14 ± 16) / 6\\\)

Therefore, the two roots of the quadratic equation in exact square root form are:

\(x = (14 + 16) / 6 = 5\\x = (14 - 16) / 6 = -1/3\\\)

Thus, the roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

A quadratic equation is a second-degree polynomial equation in one variable of the form:

\(ax^2 + bx + c = 0\)

where x is the variable, and a, b, and c are constants. In this equation, the highest power of x is 2, and it is called the coefficient of x^2. The coefficient of x is b, and the constant term is c.

The quadratic equation is called "quadratic" because the highest power of x is a square (i.e., x^2), and the graph of the equation is a parabola.

The quadratic equation can have zero, one, or two real solutions, depending on the values of a, b, and c. The solutions can be found by using the quadratic formula:

\(x = (-b ± √(b^2 - 4ac)) / 2a\)

where the symbol ± means "plus or minus" and the square root is of the discriminant (b^2 - 4ac).

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Answer:

36

Step-by-step explanation:

4 x 9=32

Answer:

5

Step-by-step explanation:

GCF of 20 is 5 and 4. Let's look at our information, we have one of the GCF (Greatest Common Factor) which is 4. We can divide 20 by 4 to get our answer of 5. To check your work you can also multiply 4 and 5 to get 20.

Hope this helped have a great day! :)

If I helped would you mind giving me brainliest? Please and thank you!

There will be no change in the price of the car.

A number line is a representation of a graduated straight line used to abstract real numbers in elementary mathematics. Its points are considered to correspond to real numbers and vice versa.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let the sticker price = x, Price reduced by $300

Hence the new price is,

N= x-$300

The cost of additional features = $900

Hence the new price for selling will be.

=x-$300+$900

=x+$600

Dealer also provides a discount of $600

Hence Final  selling price will be

=x+$600-$600

Hence there seems to be no change in the sticker price as the sticker price and the final selling price are the same.

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Answer:

6

Step-by-step explanation:

Answer:7·10^(-9), or

   7

----------

10^9

Step-by-step explanation:

Multiply 3.5 and 2 together, obtaining 7.

Then add the exponents -6 and -4, obtaining -10.

The product is thus 7·10^(-10), or, after simplification,

7·10^(-9), or

   7

----------

10^9

In order to create 728 millilitres of the medication, 273 millilitres of component A are required.

A compound in chemistry is a material comprised of two or more separate chemical elements mixed together in a certain proportion. Chemical connections that are challenging to break are created when the elements interact with one another.

Compound A:Compound B ratio in the medication is 3:5. In other words, there are 3 millilitres of compound A and 5 millilitres of compound B for every 3+5=8 millilitres of the medicine.

We may set up a percentage using the ratio of compound A to the total volume of the medicine to determine how much compound A is required to make 728 millilitres of the drug:

3 ml x 3 ml x 3 ml

-------- = ----------

728 ml total, 8 ml overall

If we cross-multiply, we obtain:

8(x) = 3(728)

To find x, we use the formula x = 3(728)/8 = 273

In order to create 728 millilitres of the medication, 273 millilitres of component A are required.

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273 milliliters of compound A are needed to make 728 milliliters of the drug.

What are proportions?

In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other. A proportion can be represented as an equation of the form:

a/b = c/d

To determine the amount of compound A needed to make 728 milliliters of the drug, we need to use the given ratio of 3 milliliters of compound A to 5 milliliters of compound B.

Let's start by finding the ratio of compound A to the total amount of ingredients (A+B) in the drug:

3 : (3+5) or 3:8

This means that for every 8 milliliters of the drug, 3 milliliters of compound A are used.

To find out how many milliliters of compound A are needed for 728 milliliters of the drug, we can set up a proportion:

3/8 = x/728

where x represents the amount of compound A needed.

To solve for x, we can cross-multiply:

8x = 3*728

8x = 2184

x = 273

Therefore, 273 milliliters of compound A are needed to make 728 milliliters of the drug.

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Answer:

A.  The probability of event B​ occurring, given that event A has occurred

Step-by-step explanation:

Conditional probability

A probability is conditional if is depends on what has already happened.

The probability that event B happens, given that event A has already happened is "B given A" or P(B | A)

Therefore, P(B | A) means "The probability of event B​ occurring, given that event A has occurred"

Additional information:

P(A | B) means "A given B", i.e. the probability of event A​ occurring, given that event B has occurred

P(A ∩ B) means the probability of event A and event B both happening.

Answer:

Sum of interior angles of a triangle = 180°

Sine rule to find side lengths:

\(\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

----------------------------------------------------------------------

Question 1aa

Given: B = 10°, C = 100°, b = 2

10° + 100° + A = 180°

⇒ A = 70°

\(\dfrac{a}{\sin 70}=\dfrac{2}{\sin 10}=\dfrac{c}{\sin 100}\)

\(\implies a=\sin 70 \cdot \dfrac{2}{\sin 10}=10.82294826...\)

\(\implies c=\sin 100\cdot \dfrac{2}{\sin 10}=11.34256364...\)

----------------------------------------------------------------------

Question 2bb

Given: A = 40°, B = 40°, c = 2

40° + 40° + C = 180°

⇒ C = 100°

\(\dfrac{a}{\sin 40}=\dfrac{b}{\sin 40}=\dfrac{2}{\sin 100}\)

\(\implies a=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...\)

\(\implies b=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...\)

----------------------------------------------------------------------

Question 1aa

Given: A = 110°, C = 30°, c = 2

110° + 30° + B = 180°

⇒ B = 40°

\(\dfrac{a}{\sin 110}=\dfrac{b}{\sin 40}=\dfrac{3}{\sin 30}\)

\(\implies a=\sin 110 \cdot \dfrac{3}{\sin 30}=5.638155725...\)

\(\implies b=\sin 40\cdot\dfrac{3}{\sin 30}=3.856725658...\)

The slope (m) of the MB is: 1. The equation of the line of MB is: y = x.

We can express the equation of a line in slope-intercept form as, y = mx + b, where we have:

Slope = m = change in y / change in x

y-intercept = b.

Given the points, M(-4,-4) and B(-1,-1), to find the equation that the points lie on, first, find the slope of MB:

Slope (m) = (-4 -(-1))/(-4 -(-1))

Slope (m) = -3/-3

Slope (m) = 1

Substitute (x, y) = (-1, -1) and m = 1 into y = mx + b to find b

-1 = 1(-1) + b

-1 = -1 + b

-1 + 1 = b

b = 0

Substitute m = 1 and b = 0 into y = mx + b

y = 1(x) + 0

y = x.

Thus, the slope (m) of the MB is: 1. The equation of the line of MB is: y = x.

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Answer:

Last one, -36x+9.

Explanation: You need to multiply negative times positive which is negative. But look at the last one -12×-3/4 equals positive 36/4 which equals 9.

Based on the cross-price elasticity of Demand, we can conclude that good X and good Y are substitutes.

Let's calculate the cross-price elasticity of demand using the given information:

a. Find the percentage change in quantity demanded of good Y:

Percentage Change in Quantity Demanded of Good Y = (New Quantity Demanded - Initial Quantity Demanded) / Initial Quantity Demanded * 100

Percentage Change in Quantity Demanded of Good Y = (6250 - 5000) / 5000 * 100 = 25%

b. Find the percentage change in the price of good X:

Percentage Change in Price of Good X = (New Price - Initial Price) / Initial Price * 100

Percentage Change in Price of Good X = (5 - 4) / 4 * 100 = 25%

Now, we can calculate the cross-price elasticity of demand:

Cross-Price Elasticity of Demand = Percentage Change in Quantity Demanded of Good Y / Percentage Change in Price of Good X

Cross-Price Elasticity of Demand = 25% / 25% = 1

b. Based on the calculated cross-price elasticity of demand, we can determine the types of goods:

If the cross-price elasticity of demand is positive (as in this case, where it is 1), it indicates that the two goods are substitutes. This means that when the price of good X increases, the quantity demanded of good Y also increases, suggesting that consumers view these goods as alternatives to each other.

Therefore, based on the cross-price elasticity of demand, we can conclude that good X and good Y are substitutes.

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Answer:

Step-by-step explanation:

The measure of angle 5 of the exterior hexagon is  m∠5 = 60°.

From the diagram, the shape is a hexagon, so that the total measures of its 6 interior angles are 720 degree.

We assume the interior angles of the hexagon are 1', 2', 3', 4', 5' and 6'.

As all angles 1, 2, 3, 4, 5, 6 are exterior angles of the hexagon, so that we have 6 pairs of supplementary angles: 1 and 1'; 2 and 2'; 3 and 3'; 4 and 4'; 5 and 5'; 6 and 6'.

m∠1 + m∠1' = m∠2 + m∠2' = m∠3+m∠3' = m∠4 + m∠4' = m∠5 + m∠5' = m∠6 + m∠6' = 180⁰

m∠1 + m∠1' + m∠2 + m∠2' + m∠3+m∠3' + m∠4 + m∠4' + m∠5 + m∠5' + m∠6 + m∠6' = 180 × 6 = 1080

(m∠1 + m∠2 + m∠3 + m∠4 + m∠5+m∠6) + (m∠1' + m∠2' + m∠3' + m∠4' + m∠5' + m∠6') = 1080

(m∠1 + m∠2 + m∠3 + m∠4 + m∠5+m∠6) + 720 = 1080

(m∠1 + m∠2 + m∠3 + m∠4 + m∠5 + m∠6)  = 360 (1)

From the question, we know that:

m∠6 = 90

∠1 ≅ ∠2 ≅ ∠3

∠4 ≅ ∠5

Replace ∠1, ∠2 by ∠3; ∠5 by ∠4; ∠6 = 90 in the equation (1), we have;

m∠3 + m∠3 + m∠3 + m∠4 + m∠4 + 90 = 360

3m∠3 + 2m∠4 =270 (2)

As given: m∠4 = m∠3 + 10°

Replace in the equation (2), we have:

3m∠3 + 2 × (m∠3 + 10) =270

3m∠3 + 2m∠3 + 20 = 270

5m∠3 = 270 -20 = 250

m∠3 = 250/5 = 50°

m∠4 = m∠3 + 10° = 50 + 10 = 60°

As ∠4 ≅ ∠5 => m∠5 ≅ m ∠4 = 60°

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Answer:

Step 1 The two sides we know are Opposite (300) and Adjacent (400).

Step 2 SOHCAHTOA tells us we must use Tangent.

Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.

Step 4 Find the angle from your calculator using tan-1