How do you do this question?

Answer:

\( \boxed{C}\)

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Amount Noah borrowed from his mother = $17

Amount paid = $8

Change in the amount of money Noah's mother has :

Let initial amount her mother has = x

Hence, the amount she has after Noah paid $8 to her will be :

Initial amount - amount borrowed + amount paid

= x - $17 + $8.

The simplified amount = x - $9

The amount Noah still owes :

Total amount owed - amount paid

$17 - $8 = $9

The change in the amount of money that Noah's mother will be $ 9.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Noah borrowed $17 from his mother. He then paid back $8 of the amount he owed.

Then the amount owed will be given as the difference between the initial amount and paid amount.

→ $ 17 - $ 8

→ $ 9

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(A) x2 + (y – 3)² = 36, is the equation that represents circles with a diameter of 12 units and a center on the y-axis.

So, the standard form for calculating the equation of a circle is as follows:

(x-a)² + (y-b)² = b = r²

Where;

Information:

If the center is on the y-axis, it will be at (0, 3).

By substituting into the formula, we get (x-0)² + (y-3)² = 6² is equivalent to

Therefore, the equation that represents circles with a diameter of 12 units and a center on the y-axis is (A) (A) x2 + (y – 3)² = 36.

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The correct question is given below:
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

a. x2 + (y – 3)2 = 36

b. x2 + (y – 5)2 = 6

c. (x – 4)² + y² = 36

d. (x + 6)² + y² = 144

e. x2 + (y + 8)2 = 36

Answer:

9.3

Step-by-step explanation:

0.31

× 0.30

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

0.30

9.30

-----------

9.6

Answer:

slope = - 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (- 1, - 5) ← 2 points on the line

m = \(\frac{-5-1}{-1-(-3)}\) = \(\frac{-6}{-1+3}\) = \(\frac{-6}{2}\) = - 3

Answer:

3.0 · 10^1

Step-by-step explanation:

1.  Simplify the expression.

2. Convert to scientific notation

The cardinality of the cartesian product of A and B is 18.

Cartesian Product of two sets A and B is defined as the set of all ordered pairs (a,b) where a∈A & b∈B.

Cardinality of a set is defined as the number of elements in that particular set.

For example,  for a set A={2,6,4} , the cardinality is 3.

Given set A= { x | x is a prime number less than 7}

A={2,3,5}

set B =  { y | y is perfect square of an integer and y is less than 29}

B={0,1,4,9,16,25}

The cartesian product of A and B denoted by AxB will be

AxB={(2,0),(2,1),(2,4),(2,9),(2,16),(2,25),(3,0),(3,1),(3,4),(3,9),(3,16),(3,25),(5,0),(5,1),(5,4),(5,9),(5,16),(5,25)}

The number of elements in AxB is 18.

Therefore , the cardinality of the cartesian product of A and B is 18.

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Answer:

a. Domain = All real numbers

Range = y ≥ 2

b. Domain = -4 < x ≤ 4

Range = 0 ≤ y < 4

The right response is, "5 hexagons are made up of 15 pattern block trapezoids."

Geometric shapes known as pattern block trapezoids are frequently utilized in arithmetic instruction. On a flat surface, they are one of a number of forms that can be used to make tessellations, or repeating patterns. Different colored plastic or foam pattern block trapezoids are available in a variety of sizes, with each color denoting a distinct size and form. Pattern block trapezoids are frequently used to teach geometry principles like area, perimeter, and angles in addition to their application in making tessellations. They can also aid in the development of kids' spatial reasoning and problem-solving skills.  

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Answer:  \(C=31.4\)

Step-by-step explanation: When you are finding the circumference of a circle you use the formula

\(C=2\pi r\)

\(C=2*3.14 *5\)

\(C=31.4\)

Answer:

Step-by-step explanation:

Step one;

given

initial weight = 55 pounds

final weight= 45 pounds

Step two:

Required

the % weight decrease

% decrease= initial-final/initial *100

% decrease= 55-45/55 *100

% decrease= 10/55 *100

% decrease= 0.18 *100

% decrease= 18%

The total number of pages that he read will be 210 pages.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Based on the equation given, the equation to represent Amir's information will be:

y = 35 × x

y = 35x

Jesse's equation will be:

y = 30(x + 1)

Then, we'll equate both equations together. This will be:

35x = 30(x + 1)

35x = 30x + 30

35x - 30x = 30

5x = 30

x = 30/5

x = 6

Therefore, the number of pages read will be:

y = 35x

y = 35 × 6

y = 210 pages.

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Emma's luggage may be lost with probability p = 0.1. The luggage and its content are estimated to be worth 316.05. Emma's utility insures against the loss of the luggage. What is the maximum insurance premium I that Emma would be willing to pay?

Solution:To calculate Emma's maximum insurance premium, let's start by calculating her expected utility if she doesn't insure her luggage.U (no insurance) = 0.9 x U (316.05) + 0.1 x U (0)where U (316.05) is Emma's utility function for 316.05 value, and U (0) is Emma's utility function for a loss of the luggage. Emma has not insured her luggage, hence, if it gets lost, she will get 0 value for it.A sum of 316.05 is worth more than 0, Emma will still get a certain amount of utility, which will be larger than 0.

Therefore, Emma's utility function is likely to be positive, so let us assume that U (0) = 0.If we plug this information into the above equation, we will have:U (no insurance) = 0.9U (316.05) + 0.1 × 0 = 0.9U (316.05)Hence, Emma's expected utility, if she doesn't insure her luggage, will be 0.9U (316.05).However, if Emma chooses to insure her luggage, she will pay the insurance premium I. If the luggage gets lost, she will get reimbursed by the insurance company for 316.05. Her expected utility function, if she insures her luggage, will be:

U (insurance) = 0.9U (316.05 – I) + 0.1U (316.05)Where U (316.05 – I) is Emma's utility function for 316.05 – I value. Emma will get this amount if the luggage is not lost, but she has to pay the premium I.If we compare Emma's expected utility when she insures her luggage and when she doesn't insure her luggage, we will have the following inequality:

U (insurance) ≥ U (no insurance)0.9U (316.05 – I) + 0.1U (316.05) ≥ 0.9U (316.05)Let us solve this inequality:0.9U (316.05 – I) + 0.1U (316.05) ≥ 0.9U (316.05)0.9U (316.05 – I) ≥ 0.8U (316.05)U (316.05 – I) ≥ 0.89U (316.05)Since U (316.05 – I) is a decreasing function, it will get smaller as I gets larger.

Hence, to maximize Emma's expected utility, we need to minimize the insurance premium I that she pays to the insurance company.If Emma doesn't insure her luggage, her expected utility will be 0.9U (316.05)Emma will choose to insure her luggage if her expected utility is larger if she insures her luggage.U (insurance) = 0.9U (316.05 – I) + 0.1U (316.05)0.9U (316.05 – I) ≥ 0.8U (316.05)U (316.05 – I) ≥ 0.89U (316.05)Emma will choose to insure her luggage if her expected utility is larger if she insures her luggage. Hence,Emma's maximum insurance premium I that Emma would be willing to pay is $31.35.

If Emma chooses to insure her luggage, she will pay the insurance premium I. Her expected utility function, if she insures her luggage, will be U (insurance) = 0.9U (316.05 – I) + 0.1U (316.05). Emma will choose to insure her luggage if her expected utility is larger if she insures her luggage. Therefore, Emma's maximum insurance premium I that Emma would be willing to pay is $31.35. The utility function is considered decreasing as Emma has to pay more premium.

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The exact values of the remaining trigonometric functions are listed below:

Case 3: cos θ = 3 / 5, tan θ = 4 / 3, cot θ = 3 / 4, sec θ = 5 / 3, csc θ = 5 / 4

Case 4: sin θ = √11 / 6, tan θ = √11 / 5, cot θ = 5√11 / 5, sec θ = 6 / 5, csc θ = 6√11 / 11

Case 5: cos θ = 8√73 / 73, sin θ = 3√73 / 73, tan θ = 3 / 8, cot θ = 8 / 3, csc θ = √73 / 3

Case 6: sin θ = 1 / 2, cos θ = √3 / 2, tan θ = √3 / 3, sec θ = 2√3 / 3, csc θ = 2

In this problem we find four cases of trigonometric functions, whose exact values of remaining trigonometric functions must be found. The trigonometric functions are defined below:

sin θ = y / √(x² + y²)

cos θ = x / √(x² + y²)

tan θ = y / x

cot θ = x / y

sec θ = √(x² + y²) / x

csc θ = √(x² + y²) / y

Now we proceed to determine the exact values of the trigonometric functions:

Case 3: y = 4, √(x² + y²) = 5

x = √(5² - 4²)

x = 3

cos θ = 3 / 5

tan θ = 4 / 3

cot θ = 3 / 4

sec θ = 5 / 3

csc θ = 5 / 4

Case 4: x = 5, √(x² + y²) = 6

y = √(6² - 5²)

y = √11

sin θ = √11 / 6

tan θ = √11 / 5

cot θ = 5√11 / 5

sec θ = 6 / 5

csc θ = 6√11 / 11

Case 5: x = 8, √(x² + y²) = √73

y = √(73 - 8²)

y = 3

cos θ = 8√73 / 73

sin θ = 3√73 / 73

tan θ = 3 / 8

cot θ = 8 / 3

csc θ = √73 / 3

Case 6: x = √3, y = 1

sin θ = 1 / 2

cos θ = √3 / 2

tan θ = √3 / 3

sec θ = 2√3 / 3

csc θ = 2

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The probability of picking a red counter is therefore; 8/25.

Since the ratio of red to green is 2 :3 and there are 24 green counters, it follows that the number of red counters is;

x = (2/3)× 24 = 16 red.

The total of red and green is; 16 +24 = 40 which constitutes 80% of the total counters.

The total number of counters is therefore; 40/0.8 = 50 counters.

The probability of picking a red counter is therefore; 16/50 = 8/25.

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Answer:

1.4

Step-by-step explanation:

False , the variance and standard deviation are not measures of central location

Given data ,

The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset

Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset

The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.

In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.

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Answer:

mmm the ans is in pic see hope it may help u

Answer

two-thirds

Step-by-step explanation:

8 over 1 2simplified is 2 over 3

Answer:

The relationship shown in the table is not proportional. A proportional relationship is one in which the ratio of two quantities is always constant. In the table, we can see that the ratio of the values in the y column to the corresponding values in the x column is not constant. For example, the first two values in the y column are -27 and 12, which have a ratio of -27/1 and 12/2, respectively. These ratios are not equal, which indicates that the relationship is not proportional.

Furthermore, if the relationship were proportional, we would expect the values in the y column to increase at a consistent rate as the values in the x column increase. However, this is not the case in the table. For example, the first two values in the x column are 1 and 2, and the corresponding values in the y column are -27 and 12. The difference between these values is -27 - 12 = -39, which is a large negative value. However, the difference between the next two values in the y column is 57 - 147 = -90, which is a much larger negative value. This indicates that the relationship is not proportional, because the differences between the y values do not increase at a consistent rate as the x values increase.

Step-by-step explanation:

We will prove two statements. First, every infinite decimal representing a rational number is recurring. Second, if a rational number is represented by a fraction in lowest terms as a/b, then the number of recurring digits in its decimal representation is less than b.

Statement 1: Every infinite decimal representing a rational number is recurring. Let's consider a rational number represented as a/b, where a and b are integers and b ≠ 0. The decimal representation of this rational number can be expressed as a quotient a/b in long division.

In long division, the remainder can have a maximum of b - 1 possible values because it ranges from 0 to b - 1. Since there are only b possible remainders, at least two remainders must be equal due to the pigeonhole principle. This means that at some point in the long division process, we encounter a repeated remainder. Once a repeated remainder is encountered, the long division process will continue in a repeating pattern. Therefore, the decimal representation becomes recurring, where the repeating pattern corresponds to the digits after the decimal point. Hence, every infinite decimal representing a rational number is recurring.

Statement 2: If a rational number is represented by a fraction in lowest terms as a/b, then the number of recurring digits in its decimal representation is less than b. Let's consider a rational number a/b in lowest terms, where a and b are integers and b ≠ 0. We know that the decimal representation of this rational number is recurring.

In the recurring part of the decimal representation, the repeating pattern can have a maximum length of b - 1. This is because if the repeating pattern has a length equal to or greater than b, we can simplify the fraction further, contradicting the assumption that it is in lowest terms. Therefore, the number of recurring digits in the decimal representation of a rational number a/b, in lowest terms, is less than b.

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Let the price of ticket be "p"

and attendance be "A"

First, given,

When p = 16, A = 950

Then, given,

When p = 5, A = 1550

We can model these two pairs of points as coordinates,

We have to come up with the equation in the form A = mp + b, where

m is the slope and b is the y-intecept of the line.

We can use the following formula to find the equation of the line:

Let's substitute the points and find the linear equation in the form A = mp + b.

Answer:1.345299 = -1/3

Step-by-step explanation:

There are two possible outcomes when tossing a coin, head or tail.

Since the coin is fair, both outcomes are equally likely to occur 1/2 or 50% of the time.

If you toss a coin 100 times, there are 2^100 possible heads and tails, or about 1.26 x 10^30. This means that there are approximately 1.26 x 10^30 ways a coin can land heads or tails 100 times.

You can also get 50 heads, 50 tails, or a total of 100 combinations of heads and tails. In other words, no particular outcome is more likely than any other. The probability of any particular combination of heads and tails occurring is very small, but the probability of any combination occurring is 1 or 100%.

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Answer:

-3

Step-by-step explanation:

(-1)3 = -3

Answer:

-3

Step-by-step explanation:

-1 × 3 = -3

also when you have a negative and a positive it means that the answer is negative.