What is the measure of each exterior angle for a regular hexagon?
A. 45°
B. 30°
C. 60°
D. 120°

Answer:

Step-by-step explanation:

For the first bag:

Price of the bag = $12

Number of balls in the bag = 15

Price per ball = Price of the bag / Number of balls

Price per ball for the first bag = $12 / 15 = $0.8

For the second bag:

Price of the bag = $15

Number of balls in the bag = 20

Price per ball = Price of the bag / Number of balls

Price per ball for the second bag = $15 / 20 = $0.75

Comparing the prices per ball, we find that the second bag has a lower price per baseball. Therefore, the second bag offers a better price for individual baseballs compared to the first bag.

Answer:

Step-by-step explanation:

To find out which bag prices individual baseballs lower, we can divide the total cost of each bag by the number of balls in the bag. This will give us the price per ball for each bag.

For the first bag, the price per ball is $12 / 15 = $0.80.

For the second bag, the price per ball is $15 / 20 = $0.75.

Therefore, the second bag prices individual baseballs lower.

Simplify the expression:

7 + -10c² + 100

collect like terms:

7+100-10c²

107-10c²

If you meant, 7+ -10c² + 10c, then it can't be simplified further as there are no like terms.

Answer:

Solution : 5.244 - 16.140i

Step-by-step explanation:

If we want to express the two as a product, we would have the following expression.

\(-6\left[\cos \left(\frac{2\pi }{5}\right)+i\sin \left(\frac{2\pi }{5}\right)\right]\cdot 2\sqrt{2}\left[\cos \left(\frac{-\pi }{2}\right)+i\sin \left(\frac{-\pi \:}{2}\right)\right]\)

Now we have two trivial identities that we can apply here,

( 1 ) cos(- π / 2) = 0,

( 2 ) sin(- π / 2) = - 1

Substituting them,

= \(-6\cdot \:2\sqrt{2}\left(0-i\right)\left(\cos \left(\frac{2\pi }{5}\right)+i\sin \left(\frac{2\pi }{5}\right)\right)\)

= \(-12\sqrt{2}\sin \left(\frac{2\pi }{5}\right)+12\sqrt{2}\cos \left(\frac{2\pi }{5}\right)i\)

Again we have another two identities we can apply,

( 1 ) sin(x) = cos(π / 2 - x )

( 2 ) cos(x) = sin(π / 2 - x )

\(\sin \left(\frac{2\pi }{5}\right)=\cos \left(\frac{\pi }{2}-\frac{2\pi }{5}\right) = \frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}\)

\(\cos \left(\frac{2\pi }{5}\right)=\sin \left(\frac{\pi }{2}-\frac{2\pi }{5}\right) = \frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4}\)

Substitute,

\(-12\sqrt{2}(\frac{\sqrt{2}\sqrt{5+\sqrt{5}}}{4}) + 12\sqrt{2}(\frac{\sqrt{2}\sqrt{3-\sqrt{5}}}{4})\)

= \(-6\sqrt{5+\sqrt{5}}+6\sqrt{3-\sqrt{5}} i\)

= \(-16.13996 + 5.24419i\)

= \(5.24419i - 16.13996\)

As you can see option d is the correct answer. 5.24419 is rounded to 5.244, and 16.13996 is rounded to 16.14.

Answer:

D) Subtract -5 from 15, then find the absolute value

Step-by-step explanation:

Answer:

46.63 + 5.38 = 52.01

Step-by-step explanation:

Answer:

3(2a+5)

Step-by-step explanation:

What you do is you use the Distributive Property. So you multiply 3 into 2 and 5 to get 6a+15.

Answer:

x=4

Step-by-step explanation:

add 6 to both sides and you get 0+x=4

Answer:

A

Step-by-step explanation:

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

The 9 adult tickets and 93 children tickets were purchased.Let's assume the number of adult tickets purchased is "a" and the number of children tickets purchased is "c."

According to the given information, children tickets cost $9 and adult tickets cost $11. So, the total cost of children tickets is 9c, and the total cost of adult tickets is 11a.

The problem also states that the total cost of all the tickets is $936. Therefore, we can write the following equation:

9c + 11a = 936

Additionally, it is mentioned that the number of children tickets purchased was three more than ten times the number of adult tickets purchased:

c = 10a + 3

We can now solve this system of equations to find the values of "a" and "c." By substituting the value of "c" from the second equation into the first equation, we have:

9(10a + 3) + 11a = 936

90a + 27 + 11a = 936

101a = 936 - 27

101a = 909

a = 909 / 101

a = 9

Substituting this value back into the second equation, we find:

c = 10(9) + 3

c = 90 + 3

c = 93.

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Answer:

a. ordinal

Step-by-step explanation:

A level of measurement refers to a classification which is used to illustrate the attributes of the values assigned to variables. Basically, there are four (4) levels of measurement for a variable and these are;

1. Ratio: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.

2. Nominal: is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.

3. Interval: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.

4. Ordinal: data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.

Therefore, the data are at the ordinal level of measurement because mood levels were represented as 0 for bad, 1 for OK, and 2 for good.

However, what is wrong with these given calculation; "average​ (mean) of the 637 mood levels is 0.9." is that the data presented in the question cannot be used to find an average (mean) because the various mood levels were not stated or given, which is a prerequisite for calculating the average (mean) of a population.

Answer:

It would be the first option 8x-8y=32

The equivalent of the expression [ (z−3)4z−6 ] is 4z² - 12z - 6.

Given the expression; (z−3)4z−6

First, we apply distributive property.

(z−3)4z−6

(z−3)4z−6

z(4z) - 3(4z) - 6

We remove the parentheses

4z² - 12z - 6

Therefore, the equivalent of the expression [ (z−3)4z−6 ] is 4z² - 12z - 6.

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The sum of  3x2 + 9 + 5x3 is 30

We need to find the  sum of 3x2 + 9 + 5x3

First we have to multiply which is then followed by addition.

Addition is the process of adding two or more numbers together to get their sum. Addition in math is a primary arithmetic operation, used to calculate the total of two or more numbers

3x2 + 9 + 5x3

= 6 + 9 + 15

= 30

Therefore, the sum of  3x2 + 9 + 5x3 is calculated by adding the terms, and it is 30

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The final velocity of the parameters is 13.5m/s

In this question, the given parameters are represented as

Formula: v = u + at

Initial velocity = 3m/s

Acceleration = 1.5m/s²

Time = 7 seconds

When these parameters are represented using their required notation, we have the following representations

u = 3m/s

a = 1.5m/s²

t = 7 s

Next, we substitute the above parameters in the above equation

So, we have the following representation

v = 3 + 1.5 * 7

Evaluate the products

This gives

v = 3 + 10.5

Evaluate the sum

So, we have the following representation

v = 13.5

The notation v represents the final velocity

Hence, the final velocity is 13.5m/s

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Answer:

For the raging river you multiply

X * 9 = Y

And for paddlers the equation is

X + 40 = Y

Answer:

= ( 82.90, 85.10) points

Therefore at 90% confidence interval (a,b)= ( 82.90, 85.10) points

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 84

Standard deviation r = 4.5

Number of samples n = 45

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

84+/-1.645(4.5/√45)

84+/-1.645(0.670820393249)

84+/-1.10

= ( 82.90, 85.10) points

Therefore at 90% confidence interval (a,b)= ( 82.90, 85.10) points

Answer:

7777.5 ft^3

Step-by-step explanation:

First, separate the solid into two, the triangular prism and the rectangular prism. Then, find the area of both solids.

\(A_{triangular prism}=BA *h\)

\(A_{triangular prism} = (\frac{1}{2} * 17 * 19) *15\)

\(A_{triangular prism}=161.5*15\)

\(A_{triangular prism}=2422.5ft^3\)

\(A_{rectangular prism} = l * w * h\)

\(A_{rectangular prism}=17*15*21\)

\(A_{rectangular prism}=5355ft^3\)

Finally, add together both values

\(A_{total}=A_{triangular prism}+A_{rectangular prism}\)

\(A_{total}=2422.5+5355\)

\(A_{total}=7777.5ft^3\)

Answer:

10 inches

Step-by-step explanation:

r=(3V

4π)⅓=(3·4186

4·π)⅓≈9.99778in

Answer:

13

Step-by-step explanation:

900× .15 × 9

yfrfhivughub

A. True.

In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.

The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).

The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.

A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.

For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.

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To know if a point lies on a circle you use the (x,y) of each point in the equation and prove it that correspond to a mathematical congruence.

A. (- 1 , 4)

As 29 is not equal to 49, this point doesn't lie in the circle

B. ( 8 , 3)

As 17 is not equal to 49, this point doesn't lie in the circle

C. (9 , 0)

As 29 is not equal to 49, this point doesn't lie in the circle

D. (-2 , 2)

As 36 is not equal to 49, this point doesn't lie in the circle

The next graph represents the circle and the 4 given points:

The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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A system of equations that can be used to determine the dollar amount of phone sales is:

P = 2C

0.07P + 0.03C = 85

Let's define the variables:

Let P represent the total dollar amount of phone sales Colton made.

Let C represent the total dollar amount of computer sales Colton made.

We are given that Colton earns a 7% commission on phone sales and a 3% commission on computer sales. We are also given that Colton had twice as much in phone sales as he had in computer sales and earned a total of $85 in commission.

We can write the following system of equations:

P = 2C (Colton had twice as much in phone sales as he had in computer sales)

0.07P + 0.03C = 85 (Colton earned a total of $85 in commission)

Now we have a system of equations:

P = 2C

0.07P + 0.03C = 85

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Answer:

5.4

Step-by-step explanation:

square of 29 = 5.385164807

5.385164807 estimated is 5.4

Answer:

11 buses

Step-by-step explanation:

Step-by-step explanation:

there is nothing missing. this is a complete proof.

yes, the various steps are correct.