Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36

Answer:

The correct option is;

Number of seats

Step-by-step explanation:

A quantitative variable is a variable that has a numeric value used to describe the measured characteristic of an item

A discrete variables are countable variables within given finite amount of time

Therefore, a discrete quantitative is a countable variable that indicates the measured value of an item or feature'

In the question, the discrete quantitative variable that might be included in the brochure is Number of seats.

Answer: The number of seats

Step-by-step explanation: Because a discrete quantitative variable is a variable whose value is obtained by counting. you’re welcome:)

Answer:

I cant help if there is not a picture of the spinner because I dont know how many sections are there.

Step-by-step explanation:

Answer:

8 pounds - $64

9 pounds - $72

12 pounds - $96

Step-by-step explanation:

To find how much money she spends you multiply the number of pounds by the price per pound ($8).

Hope this helps :)

The limit as x approaches one is infinity.

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} =\infty\)

The limit of a function, f(x) as x approaches a given value b, is define as the value that the function f(x) attains as the variable x approaches the given value b.

From the given question, as x approaches 1,

substituting x into 1 - x,

the denominator of the function approaches zero, because 1 - 1 = 0 and thus the function becomes more and more arbitrarily large.

Thus, the limit of the function as x approaches 1 is infinity.

Therefore,

The limit (as x approaches 1)

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} = \infty \)

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The statements that are true about object-oriented analysis are: b) Control classes receive or handle system events, c) encapsulate behavior of use case, d) implement the controller pattern.

Object-oriented analysis and design (OOAD) is a technical method for analyzing and planning an application, system, or business using object-oriented programming and visual modeling to direct stakeholder communication and product quality throughout the software development process.

Modern software engineering practices typically involve iterative, incremental OOAD. Analysis models for OOA and design models for OOD are the byproducts of OOAD activities, respectively. The goal is for these to continuously improve and change, guided by important factors like risks and business value.

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Note that the full question is:

Which statements are true about control classes in object-oriented analysis? Select all that apply.

a) Control classes manage data structures.

b) Control classes receive or handle system events.

c) Control classes encapsulate behavior of use case.

d) Control classes implement the controller pattern.

Answer:

-63

Step-by-step explanation:

1)

Take into account that the equation of a line can be written as follow:

y = mx + b

where m is the slope and b the y-intercept.

the slope can be calculated as follow:

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

where (x1,y1) and (x2,y2)

For the given graph, consider the points (0,3) and (4,4)

Answer:

301 plates

Step-by-step explanation:

For numbers between 0 and 9, 1 plate was used each.

This means that 10 plates were used.

For numbers between 10 and 99, 2 plates were used for each.

This means that the number of plates used will be:

2 * 90 = 180 plates

For numbers between 100 and 136, 3 plates were used for each.

This means that the number of plates used is:

3 * 37 = 111 plates

The total number of plates used is therefore:

10 + 180 + 111 = 301 plates

301 plates were used in total.

Answer:

the last one is correct

Step-by-step explanation:

because 3000/12 = 250 and 3500/14 = 250 so they are porportional.

What is the price of an item after a 30% discount if the original price of the item is 56 dollars?

Answer: 58.7 inches squared

Step-by-step explanation:

I took the test

The area of triangle WXY is approximately 66.2 square inches.

We have,

To find the area of triangle WXY, we can use the formula:

Area = (1/2) x base x height

In this case,

The base of the triangle is WX, which measures 10.3 inches, and the height is WY, which measures 12.8 inches.

Using the formula, we can calculate the area as:

Area = (1/2) x 10.3 x 12.8

Area = 66.24 square inches

Thus,

Rounded to the nearest tenth,

The area of triangle WXY is approximately 66.2 square inches.

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The natural logarithm is commonly used to approximate growth rates in various fields such as finance, economics, and biology. However, there are potential problems that can arise when using the natural logarithm for this purpose. Some of these problems include:

1. Non-linear growth: The natural logarithm assumes a constant growth rate over time, which may not accurately represent real-world scenarios. In many cases, growth rates may change over time, leading to non-linear patterns that cannot be accurately captured using the natural logarithm.
2. Negative growth rates: The natural logarithm cannot handle negative growth rates. If a variable experiences negative growth, such as a population declining or a stock losing value, the natural logarithm will produce an undefined result. This limitation can hinder the use of the natural logarithm in situations where negative growth rates are present.
3. Sensitivity to small changes: The natural logarithm is highly sensitive to small changes in values. This means that even a slight deviation in the growth rate can result in a significant difference in the calculated approximation. This sensitivity can introduce errors and inaccuracies in the estimation of growth rates.
4. Lack of interpretability: While the natural logarithm provides a mathematical approximation of growth rates, it may not always have a clear interpretation in real-world terms. For example, if the natural logarithm yields a growth rate of 0.05, it may not be immediately obvious what this means in practical terms. This lack of interpretability can make it challenging to communicate and understand the results.

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Step-by-step explanation:

um I think it's the last one

because we cut both 7 and all its left is 2x/3

∠EFH and ∠ACD are angles of alternate exterior angles in the figure as  alternate external angles are those that are generated on the outer side of the parallel lines .

When two straight lines connect at a 90° angle or are perpendicular to one another, an angle is formed. The symbol denotes a right angle. In the picture up above, many right angle formations are visible. Shapes include the correct angles. Triangles classified as right triangles have one of their internal angles at a 90 degree right angle. The three interior angles of a triangle add up to 180 degrees, so the three interior angles of a right triangle must always add up to 90 degrees because one of them is always 90 degrees.

given

The pair of angles known as alternate external angles are those that are generated on the outer side of the parallel lines but on the transverse side.

sum up to 180 degrees, you can calculate the size of the inner angle adjacent to it if you know the size of the outer angle (since together they are the angle on a straight line). The internal angles at the other two vertices are added to create the outer angle of a triangle.

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The area to the right of the z-score 0.0833 is approximately 0.4671

To calculate the proportion of women with hypertension (diastolic blood pressure greater than 90 mmHg), we can use the standard normal distribution.

Given:

Mean (μ) = 80.2 mmHg

Standard deviation (σ) = 9.6 mmHg

We need to calculate the z-score for the threshold value of 90 mmHg, and then find the area under the standard normal curve beyond that z-score.

The z-score formula is:

z = (x - μ) / σ

Plugging in the values:

z = (90 - 80.2) / 9.6

z = 0.8 / 9.6

z ≈ 0.0833

Using a standard normal distribution table or a calculator, we can find the area to the right of this z-score, which represents the proportion of women with diastolic blood pressure greater than 90 mmHg.

The area to the right of the z-score 0.0833 is approximately 0.4671.

Therefore, approximately 0.4671 (or 46.71%) of women have hypertension (diastolic blood pressure greater than 90 mmHg).

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1. The graphs and table that represent functions include the following: B, C, and E.

2. The set of ordered pairs that does not represent a function are:

A. {(-4, 9), (-4, 7), (1, -5), (7, -7)}.

C. {(-2, 0), (0, -2), (1, 1), (2, 0)}.

D. {(-5, 4), (-3, 4), (-1, 4), (2, 4)}.

In Mathematics and Geometry, a function is used for defining and representing the relationship that exists between two or more variables in a relation, table, ordered pairs, or graph.

Part 1.

Based on the given graphs and tables, we can logically deduce that the graph of a circle represent a relation because it does not have an inverse function. Also, tables D and F does not represent a function because the input values (domain) are not uniquely mapped to the output values (range).

Part 2.

Based on the given set of ordered pairs, we can logically deduce that only set A represent a function because the input values (domain) its uniquely mapped to the output values (range).

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Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

Answer:

Step-by-step explanation:

Use the parent function, then shift as necessary

Parent function:

y= log₅ x     >put in exponential form

\(5^{y} =x\)  

Since our variables are a bit backwards work backwards

For y = 0    x=1

For y=1   x= 5

For y= 2  x=10  and so on and so forth

Put into T table

x   |    y

1    |    0

5   |   1

10  | 2

This is your parent:   There is a stretch of 2 and a shift of 1 to right for your function

so mulitply y by 2 and move over to right by 1

x   |    y

1  +1   |    0 *2

5 +1   |     1*2

10+ 1   |      2*2

x   |    y

2   |    0

6   |   2

11  |  4

Your asymptote is x=1 because you shifted right 1

Answer:

Fourth Option

Step-by-step explanation:

Pythagorean Theorem:

\(a^{2} + b^{2} = c^{2}\)

Solution

\(4^{2} + b^{2} = 12^{2}\)

\(b^{2} + 16 = 144\)

\(b^{2} = 128\)

\(b = \sqrt{128} = 11.3\)

Answer:

8

Step-by-step explanation:

Answer:

\(\dfrac{c}{2}\)

Step-by-step explanation:

We can simplify the given expression by canceling like terms.

Remember that anything divided by itself is 1.

ex:

\(\dfrac{2x}{x} = 2 \cdot \dfrac{x}{x} = 2 \cdot 1 = 2\)

Applying this logic to the given expression:

\(\dfrac{a}{2b} \cdot \dfrac{bc}{a}\)

↓ simplify multiplication of fractions

\(\dfrac{a \cdot bc}{2b \cdot a}\)

↓ rewrite to align like variables

\(\dfrac{a \cdot b \cdot c}{a \cdot b \cdot 2}\)

↓ separate out variables that are divided by each other

\(\dfrac{a}{a} \cdot \dfrac{b}{b} \cdot \dfrac{c}{2}\)

↓ represent them as 1

\(1 \cdot 1 \cdot \dfrac{c}{2}\)

↓ rewrite without unnecessary 1's

\(\dfrac{c}{2}\)

The exponential function that would give the population after t years is given by:

\(P(t) = 100 \times 2^{\frac{t}{9}}\)

An exponential function is modeled by:

\(y = ab^{\frac{x}{n}}\)

In which:

Considering that the population starts with 100 individuals and doubles every 9 years, the parameters are given as follows:

a = 100, b = 2, n = 9.

Hence the function is given by:

\(P(t) = 100 \times 2^{\frac{t}{9}}\)

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Answer:100 x 2 t/9

Step-by-step explanation:

Answer:

\(\frac{36}{g}\)=9

The value of 5 divided by 1/7 is equal to 35.

A prime number is a positive integer bigger than 1 with just itself and the number one as its other positive integer divisors. In other terms, a prime number is one that can only be divided by itself and by the number 1. For numerous reasons, prime numbers are significant in mathematics. They serve as the foundation for all mathematical operations since they are the building blocks of the natural numbers. In addition, they help in the encoding and decoding of secure communications in cryptography. Lastly, they are the focus of extensive research in number theory, where mathematicians attempt to comprehend their characteristics, distribution, and patterns.

given expression is 5 ÷ 1/7.

To divide 5 by 1/7, we can multiply 5 by the reciprocal of 1/7:

5 ÷ 1/7 = 5 x 7/1 = 35

Hence, the value of 5 divided by 1/7 is equal to 35.

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Answer:

C

180(.6) because 40% off is 0.4 and what is left over is 60% or 0.6. When you multiply this you get 108. 5% sales tax is a 5% increase, so multiple 108(1.05) and you get $113.40.

Answer:

36x + 60y

explanation:

Answer:

36 x + 60 y

Step-by-step explanation:

Answer: (1.5,-3) and (4.5, -3)

Step-by-step explanation:

The dilation rule to dilate a point (x,y) by a scaler factor of  k is given by :0

\((x,y)\to (kx,ky)\)

Given: A Line Segment has the points (1,-2), and (3,-2).

Scale factor = 1.5

Then, the new points after dilation will be :

\((1,-2)\to(1.5\times1,\ 1.5\times-2)=(1.5,\ -3)\)

\((3,-2)\to (1.5\times3,1.5\times-2)=(4.5,\ -3)\)

Hence, the  new points after its dilated by a scale factor of = (1.5,-3) and (4.5, -3)

The probability that Bill Dawson finds 5 or more parts out of a sample of 100 parts ordered from an electronic company that advertises its parts to be no more than 4% defective is 0.0004 or 0.04%.

To calculate the probability that Bill Dawson finds 5 or more defective parts out of a sample of 100 parts ordered from an electronic company that advertises its parts to be no more than 4% defective, we will use the binomial probability formula.

P(x ≥ 5) = 1 - P(x < 5)

where:P(x < 5) = binomial cumulative distribution function (CDF)

n = sample size

= 100p

= probability of getting a defective part

= 0.04q

= probability of not getting a defective part = 1 - p = 0.96

Now, let's calculate P(x < 5):P(x < 5) = binomcdf(n, p, 4)= binomcdf(100, 0.04, 4)= 0.9996

Therefore,P(x ≥ 5) = 1 - P(x < 5)= 1 - 0.9996= 0.0004

Thus, the probability that Bill Dawson finds 5 or more parts out of a sample of 100 parts ordered from an electronic company that advertises its parts to be no more than 4% defective is 0.0004 or 0.04%.

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Answer:

-4

Answer:

The first one

Step-by-step explanation:

The absolute value of a negative number is the same number but positive if that makes sense. ( ex absolute value of -5 is 5 )

The absolute value of a positive number is literally that number ( ex. absolute value of 6 is 6 )

Thus, the absolute value of 1 is 1 and the absolute value of -99 is 99

99 is greater than 1 which means that the absolute value of -99 is greater than the absolute value of 1

Thus, the answer is the first one

Answer: (d)

Step-by-step explanation:

Given

The digit 9 in the number 593,104 is at the ten-thousandths place and the value which is 10 times its value must be at lakh place.

Matching with highest place values in the option

(a) Ten-thousand place

(b) Thousand place

(c) Ten-thousand place

(d) lakh Place

Therefore, (d) is the correct option.