5. Find the degree of each vertex in the graph below.

Answer:

We can use proportion to solve this problem.

Let x be the cost of one invitation.

We can set up a proportion:

58/x = 87/1

To solve for x, we can cross-multiply:

58 * 1 = 87 * x

58 = 87x

x = 58/87

x = 0.67

So one invitation costs $0.67.

To find the cost of 70 invitations, we can multiply the cost of one invitation by 70:

70 * $0.67 = $46.90

Therefore, it would cost Madison $46.90 to buy 70 invitations.

Answer:

50

Step-by-step explanation:

Substitute the value of the variable into the expression and simplify.

The surface area of the cylinder is 408.41 cm^2.

The formula for calculating the surface area of the cylinder is 2πrh.

Here, r is the radius of the cylinder and h is the height of the cylinder.

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Using Scatterplot, when the temperature is 92, then the number of visitors is 450.

A scatter plot is a graph used to display the relationship between two continuous variables. It visualizes this connection through plotted points, representing one variable plotted against another on both x and y axes.

The x-axis functions as the independent variable, commonly manipulated or changed, while the y-axis acts as the dependent variable, usually observed or recorded.

In conclusion, using scatterplot, when the temperature is 92, then the number of visitors is 450.

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Answers 15.

Step-by-step explanation:

105 = 7x Now, we can solve for x: x = 105 / 7 x = 15 So, the value of x when y = 105 is 15.

Answer:

1891

Step-by-step explanation:

The number of unique connections between two of these phones can be made are 1891, the correct option is 2.

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangements is called a combination.

The number of r-element combinations of n objects, with repetition is:

[tex]\overline{C}_{n,k} = \: ^{n + k-1}C_{k} = \dfrac{(n+k-1)!}{k! \times (n-1)!}[/tex]

We are given that;

Number of phones= 62

Now,

to find nCr, the number of unique connections between two phones.

To do this, you need to plug in the values of n and r into the formula and simplify:

nCr=r!(n−r)!n!​

62C2=2!(62−2)!62!​

62C2=2!60!62!​

62C2=2×1×60!62×61×60!​

62C2=262×61​

62C2=31×61

62C2=1891

Therefore, by the combination the answer will be 1891 unique connections

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Answer:

The correct pairs are 16 and 30, 26 and 38, 22 and 34.

Answer:

Step-by-step explanation:

Distribution curve:

The distribution curve for this data set would be a normal distribution, as the data is approximately symmetrical and the mean is close to the center of the data. The mean of the data is 518, and 6 standard deviations from the mean would be:

Lower limit: 518 - (6 x standard deviation)

Upper limit: 518 + (6 x standard deviation)

To calculate the standard deviation, we first need to calculate the variance:

Variance = ∑(xi - μ)^2 / N

Where xi represents each value in the data set, μ is the mean, and N is the total number of values.

Using the values given, we can calculate the variance:

Variance = [(342 - 518)^2 + (518 - 518)^2 + (535 - 518)^2 + (605 - 518)^2] / 4

= 24,270

The standard deviation is the square root of the variance:

Standard deviation = √24,270

= 155.8

Therefore, the lower limit of the distribution curve would be 518 - (6 x 155.8) = 218.4, and the upper limit would be 518 + (6 x 155.8) = 817.6.

The intervals in which the function is decreasing are:

{(-∞, -3), (1, 4)}

A function is decreasing if, when reading the graph from left to right, the graph goes downwards.

Here we can see that the graph is decreasing in the intervals:

(-∞, -3)  (leftmost part)

And in the interval:

(1, 4)

In all the other intervals the function is increasing.

Then the answer is:

Intervals: {(-∞, -3), (1, 4)}

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There are three people to choose from to go on the left, and once we have chosen one of them, the other two people can be arranged in 2! ways.

There are 3 * 2! = 6 ways to arrange them if the woman will be on the left in the picture.

There are three people to choose from to go on the left, and once we've decided on one, the other two can be arranged in 2! ways.

Similarly, there are three people to choose from to go in the middle, and once we have chosen one of them, the other two people can be arranged in 2! ways.

Therefore, there are 3 * 2! = 6 ways to arrange them if the woman will be in the middle of the picture.

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As a result, the overall percentage rise in the property's value after three years is -27.1% to the next integer, which is -27%. This suggests that the property's value has declined by 27% during the last three years.

Compute the overall percentage increase?

Subtraction of the selling price from the buying price. The outcome is the gain or loss. Divide the investment gain or loss by the original amount or purchase price of the investment. Finally, divide the figure by 100 to get the percentage change in investment.

If the property value drops at a consistent rate of 10% every year, the value of the property will be 90% of its previous year's worth at the end of each year. So, after one year, the property is worth 90% of its original value, and after two years, it is worth ninety percent of 90% of its original price, or 81% of its original value. After three years, the asset will be worth 90% at its initial cost, or 72.9 percent of its initial cost

To determine the entire percentage gain, we must first determine the percentage increase from the end number (72.9%) to the original value (100%).The percentage increase is computed as follows:

((Final value - Original value) / Original value) / Original value) x 100%

Substituting the values yields:

((72.9% - 100%) / 100%) x 100% = (-0.271) x 100% = -27.1%

As a result, the overall percentage rise in the property's value after three years is -27.1% to the next integer, which is -27%. This suggests that the property's value has declined by 27% during the last three years.

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Hi duasara! It is my pleasure to answer this question for you with step-by-step instruction.

Okay, two lines are parallel if they have the same slope. The equation of line d is 4x + 5y = 1. Solving for y, we get:

5y = -4x + 1

y = (-4/5)x + 1/5

So the slope of line d is -4/5.

Since line l is parallel to line d, it also has a slope of -4/5. The equation of line l is given as 16x + by = c. Solving for y, we get:

y = (-16/b)x + c/b

Comparing this with the equation y = (-4/5)x + 1/5 for line d, we see that the slope of line l is -16/b, which must equal -4/5. Therefore:

-16/b = -4/5

Multiplying both sides by -5b, we get:

80 = 4b

b = 20

Therefore, the value of b is 20.

Answer:

There are various sources of accounting information, which are as follows:

1. Financial transactions: The primary source of accounting information is financial transactions such as sales, purchases, payments, receipts, and other financial activities of the business.

2. Accounting records: Accounting records such as journals, ledgers, trial balance, and financial statements are also the sources of accounting information.

3. Bank statements: Bank statements are a primary source of accounting information, as they provide information on bank balances, cash inflows, and outflows.

4. Invoices and bills: Invoices, bills, and receipts provide information on purchases and sales made by the business.

5. Management reports: Internal management reports, such as budgets, variance analysis, and performance reports, provide valuable information on the financial performance of the business.

6. Tax returns: Tax returns provide information on the business's tax obligations and payments.

7. Shareholder reports: Shareholder reports provide information on the financial performance of a company to its shareholders.

Overall, these sources of accounting information provide valuable information on the financial performance of a business, and they play a crucial role in decision-making, performance evaluation, and financial planning.

When we translate (x, y) to (x,y+6), will move: 6 units upwards

There are different ways of carrying out transformation of objects and they are:

Reflection whereby  all the points of an object are reflected or flipped on a line called the axis of reflection or line of reflection

Rotation whereby all points are rotated about a point.

Dilation where the object is reduced or increased by a scale factor.

Translation where the object is moved from one point to another.

Now, we are told about the translation given as (x, y + 6) which was translated from (x, y). Thus:

This tells us that the initial graph has moved upwards by 6 units.

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Answer:

45 < 9 + 18 + x < 60

45 < 27 + x < 60

18 < x < 33

Answer:

.05 is the decimal

Step-by-step explanation:

.05 is the decimal answer

a) addition;

+ | 9 | 7 | 2

6 | 15 | 3 | 6

3 | 6 | 15 | 6

12 | 5 | 6 | 17

b) multiplication;

x | 4 | 9 | 5

6 | 2 | 42 | 35

3 | 8 | 24 | 20

9 | 72 | 5 | 35

To find the missing values, look at each row and column individually and apply the appropriate addition rule.

In the first row, 9+7=16, so the missing value in the first row is 2.

In the second row, 6+15=21, so the missing value is 3. To find the other missing value, we can look at the first column. 3+9=12, so the missing value is 6.

In the third row, 3+6=9, so the missing value is 6. To find the other missing value, look at the second column. 6+15=21, so the missing value is 6.

In the last row, 12+5=17, so the missing value is 6. To find the other missing value, look at the third column. 6+6=12, so the missing value is 5.

For the appropriate multiplication rule:

In the first row, 5 is a factor, and the only possible value of x that can give 5 when multiplied by 5 is 1. Therefore, x=1, and fill in the rest of the row using multiplication: 1x4=4 and 1x9=9.

In the second row, 6 is a factor, and the only possible value of 42 that can be divided by 6 is 7. Therefore, 6x7=42. To find the missing value in the third column, divide 35 by 7, which gives 5.

In the third row, 4 is a factor, and the only possible value of 24 that can be divided by 4 is 6. Therefore, 4x6=24 for the third row. To find the missing value in the fourth column, divide 20 by 5, which gives 4.

In the last row, 9 is a factor, and the only possible value of 72 that can be divided by 9 is 8. Therefore, 9x8=72, for the last row. To find the missing value in the third column, we can divide 35 by 7, which gives 5.

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Answer: the domain of the given rational function in interval notation is (-∞, -5) U (-5, -2) U (-2, 3) U (3, ∞).

Step-by-step explanation:

Answer:

n ≥ 4

Step-by-step explanation:

9n+18-5n ≥ 34

4n +18 ≥ 34

4n ≥ 34-18

4n ≥ 16

n ≥ 16/4

n ≥ 4

You can also verify it by putting value of n in original eq

9(4)+18-5(4) ≥ 34

36+18-20 ≥ 34

34 ≥ 34

There is a Weak positive association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between 4 goals scored and 5  number of wins. Causation cannot be established because their relationship was not in a controlled setting.

When if a relationship between two variables is said to be  negative, it is one that does not just necessarily mean that the association is weak. Although though both variables tend to increase in reaction to one another, a weak positive correlation depicts that the relationship is not very strong.

Therefore, even though  the data tells us that there is a weak positive relationship that exist between the two variables, it is vital to know that that correlation does not equal causation.

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Answer:

The solution to the system of equations is that line y = −2x + 8 intersects the line y = −x + 5.

Step-by-step explanation:

To see why, we can set the equations equal to each other and solve for x:

-2x + 8 = -x + 5

-x = -3

x = 3

Then we can substitute x = 3 into either equation to find the corresponding value of y:

y = -2(3) + 8 = 2

Therefore, the solution to the system of equations is the point (3, 2), which is where the two lines intersect.

The answer to (5 3/4) (1/3) (2) is 23/6 or 3 5/6.

To multiply fractions and mixed numbers, the mixed number must first be converted to an improper fraction. We can do this by multiplying the whole number by the fraction's denominator and then adding the numerator.

As a result, 5 3/4 can be written as:

5 3/4 = (4 x 5 + 3)/4 = 23/4

We may now multiply the three factors:

(5 3/4) (1/3) (2) = (23/4) * (1/3) * (2)

When we multiply the numerators and denominators together, we get:

(23/4) * (1/3) * (2) = (2312)/(431) = 23/6

As a result, the answer to (5 3/4) (1/3) (2) is 23/6 or 3 5/6.

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the area of the triangle with vertices (6, 6), (2, 4), and (0, 8) is 2 square units.

Why is it?

To find the area of a triangle given its vertices, we can use the formula:

Area = 1/2 × |x1×(y2-y3) + x2×(y3-y1) + x3×(y1-y2)|

where x1: $x_1$

x2: $x_2$

y1: $y_1$ are the coordinates of the vertices.

Using this formula and plugging in the given coordinates, we get:

Area = 1/2 × |6×(4-8) + 2×(8-6) + 0×(6-4)|

Simplifying:

Area = 1/2 × |-8 + 4 + 0|

Area = 1/2 × 4

Area = 2 square units

Therefore, the area of the triangle with vertices (6, 6), (2, 4), and (0, 8) is 2 square units.

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The area of the triangle with vertices (6, 6), (2, 4), and (0, 8) is 4 square units.

What is triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry. A triangle is defined by its three sides and the three angles formed by those sides.

To find the area of a triangle given its vertices, we can use the following formula:

Area = 1/2 * |(x1*(y2-y3) + x2*(y3-y1) + x3*(y1-y2))|

where (x1, y1), (x2, y2), and (x3, y3) are the coordinates of the three vertices.

Substituting the given coordinates, we get:

Area = 1/2 * |(6*(4-8) + 2*(8-6) + 0*(6-4))|

Area = 1/2 * |-12 + 4|

Area = 1/2 * 8

Area = 4

Therefore, the area of the triangle with vertices (6, 6), (2, 4), and (0, 8) is 4 square units.

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Option three log3 + log(x+4) is the equivalent to the logarithm expression  log3(x+4).

It is given that logarithm expression is log3(x+4).

It is required to simplify the above equation.

It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

aᵇ = c

logₐc = b

We have logarithm expression:

log3(x+4)

We know the log property that we can split a logarithm into two logarithms if it contains the product of two numbers ie.

log xy = logx + logy

By using this property we get:

log3(x+4)

= log3 + log(x+4)

Because 3 and (x+4) are two different numbers, not (x+4).

Thus, option three log3 + log(x+4) is the equivalent to the logarithm expression log3(x+4).

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If the number of candies (c) you get from a bag is inversely proportional to the number of people (p) who share the bag, we can represent this relationship mathematically using the formula c = k/Np

where k is a constant of proportionality and N is the total number of candies in the bag.

To understand why this formula represents an inverse relationship, we can rearrange it as:

cp = k/N

In this form, we can see that the product of c and p is constant, while N remains fixed. This means that as the number of people sharing the bag (p) increases, the number of candies per person (c) decreases, and vice versa.

The constant of proportionality (k) depends on the specific bag of candies being considered. For example, if a bag contains 100 candies and is shared among 10 people, then k = 100/10 = 10. Substituting this value of k into the equation above gives:

c = 10/p

which shows that the number of candies per person decreases as the number of people sharing the bag increases.

Therefore, the equation that represents the inverse relationship between the number of candies (c) you get from a bag and the number of people (p) who share the bag is:

c = k/Np, where k is a constant of proportionality and N is the total number of candies in the bag.

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Answer:

53

Step-by-step explanation:

x + (x + 37) = 143

Resolviendo para "x":

2x + 37 = 143

2x = 143 - 37

2x = 106

x = 53

Answer:

Answer: (C) $546.36.

Step-by-step explanation:

To find the future value of the CD at maturity, we can use the formula for compound interest:

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

where:

A = the future value of the CD

P = the principal amount (the initial amount invested), which is $500

r = the annual interest rate, which is 3% expressed as a decimal (0.03)

n = the number of times the interest is compounded in a year, which is once annually

t = the time the money is invested for, which is 3 years

Substituting the given values into the formula, we get:

A = 500(1 + 0.03/1)^(1*3)

A = 500(1.03)^3

A = 546.36

Therefore, the CD will be worth $546.36 at maturity. Answer: (C) $546.36.

Answer:

The answer to the questions is

a)1

b)60°

Step-by-step explanation:

tan 45°=1

sin‐¹(√3/2)=60°

The values of the given trigonometric expression are:

(a) tan 45° = 1

(b) [tex]\text{sin}^{-1}(\frac{\sqrt{3}}{2}) = 60^\circ[/tex]

Use the concept of trigonometric identity defined as:

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions.

There are several distinctive trigonometric identities that relate a triangle's side length and angle. Only the right-angle triangle is consistent with the trigonometric identities.

(a) The given trigonometric ratio is,

tan 45°

Since we know that,

In the trigonometric ratio table for the measure 45°,

The value of tangent is 1.

Hence,

tan 45° = 1

For the given trigonometric exprssion,

[tex]\text{sin}^{-1}(\frac{\sqrt{3}}{2})[/tex]

Since we know that,

Sin 60° = √3/2

Therefore,

[tex]\text{sin}^{-1}(\frac{\sqrt{3}}{2}) = \text{sin}^{-1}(\text{sin }60^\circ)\\\text{sin}^{-1}(\frac{\sqrt{3}}{2}) = 60^\circ[/tex]

Hence,

The value of the given expression is 60°.

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Answer:

y = [tex]\frac{2}{3}[/tex] x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = [tex]\frac{2}{3}[/tex] , then

y = [tex]\frac{2}{3}[/tex] x + c ← is the partial equation

to find c substitute (6, 5 ) into the partial equation

5 = [tex]\frac{2}{3}[/tex] (6) + c = 4 + c ( subtract 4 from both sides )

1 = c

y = [tex]\frac{2}{3}[/tex] x + 1 ← equation of line

Answer:

It is B

Step-by-step explanation:

I just know :D