Find the midpoint of A and B has coordinates (2,9) and B has coordinates (7,4)

Answer:

Step-by-step explanation:

m∡IGH = ? m∡FGH = 141 degrees and m∡FGI = 72 degrees

therefore, m∡IGH = m∡FGH - m∡FGI = 141 - 72 =  69 degrees

The Sutton family's condo's worth in 8 years will be $216000.

An exponential function is a mathematical function in the form f(x) = aˣ, where {x} is a variable and {a} is a constant which is called the base.

Given is that Condos in Georgetown go up in value by 10% each year. Sutton family's condo's current worth is $120,000.

We can write the function to calculate the worth after {T} years as follows.

A{T, R} = A{i} {1 + RT}

A{T, R} = {120000} {1 + (10/100) x 8}

A{T, R} = {120000} {1 + 0.1 x 8}

A{T, R} = {120000} {1 + 0.8}

A{T, R} = {120000 x 1.8}

A{T, R} = 216000

Therefore, the Sutton family's condo's worth in 8 years will be $216000.

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The most appropriate viewing window for determining the domain and range of a function when graphing it on a graphing calculator would depend on the specific function and what information you are trying to gain from the graph.

When graphing a function, it is important to set the viewing window correctly so that the full behavior of the function is visible. The domain of a function is the set of all input values for which the function is defined. The range of a function is the set of all output values that the function can produce. To determine the domain and range of a function from its graph, you need to be able to see all of the points where the function is defined, as well as any asymptotes or singularities.

To set the appropriate viewing window, you should start with a wide window that includes the x- and y-values where the function is defined. For example, if the function is defined for all real numbers, you would want to set the x-min and x-max to a large negative and positive number respectively, and y-min and y-max to a large negative and positive number respectively. This will ensure that all of the function's behavior is visible on the graph.

Once you have a general idea of the function's behavior, you can adjust the viewing window as needed.

Also, it is a good idea to check the graph for symmetry or periodicity, which can help to narrow down the domain or range. For example, if the graph is symmetric about the y-axis, you know that the domain includes all real numbers. If the graph is periodic, you know that the domain includes all real numbers and the range is limited.

By adjusting the viewing window and looking for symmetry or periodicity, you should be able to determine the domain and range of the function from its graph.

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Answer:

300G

Step-by-step explanation:

Here is the complete question

A wedding cake weighed 8kg. If 2/5th of its weight was flour, 5/16th was sugar,1/4th was cream and the rest were nuts, find the weight of nuts.

fraction of the cake that was nuts = 1 - (2/5 + 5/16 + 1/4)

1 - [tex]\frac{32 + 25 + 20}{80}[/tex] = 3/80

wight of nuts = 3/80 x 8 = 0.3 kg = 300g

Answer:

i think it is D

Answer:

D

Step-by-step explanation:

It is D because it divides n by 2 and adds on 4 to it.

[tex]\frac{n}{2}+4[/tex]

Answer:

8

Step-by-step explanation:

as side of square are equal

3x=5x-16

3x+16=5x

16=5x-3x

16=2x

16÷2=x

8=x

therefore value of x is 8

Answer:

x=8

Step-by-step explanation:

The sides on a square measure the same

so

5x-16 = 3x

2x=16

x=8

Answer:  c

Step-by-step explanation:

The length of the 3rd side cannot be determined without at least one more side length.

In order to calculate the length of the third side of a triangle, we must also have the lengths of the other two sides. This is because the sum of the three sides of a triangle must equal 180°, so the length of one side can be determined from the other two. For example, if two sides have lengths of 4 and 8, then the third side must have a length of 8, as

4 + 8 + 8 = 180°.

Without knowing the lengths of the other two sides, it is impossible to calculate the length of the third side.

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Answer:

what situation?

Step-by-step explanation:

Answer:

11 x 3 = 33

28 x 11 = 308

308 + 33 = 341

[tex]\huge\boxed{Answer\341}

(341) is the answer

Answer:

A

Step-by-step explanation:

the exact number is 1,000 miles per hour

so the closest answer is A

Answer:

She will earn $900.00 in 12 hours.

Step-by-step explanation:

Her unit rate is 75 dollars per hour.

375/5 = $75

75 x 12 = 900

Answer:  $900

Step-by-step explanation: 375/5x12.

Answer:

3.

Step-by-step explanation:

Answer:

x + 4y = 16

Step-by-step explanation:

Answer:

1/4x+y = 4

Step-by-step explanation:

Standard form is just X+Y=N

That means we have to get X and Y on the same side. For this problem we just add 1/4x to both sides of the equation.

The Third side of a triangle if the two sides are given and one angle is given can be found by using the Cosine Law .

What is Cosine Law ?

The Cosine Law states that the square of any one side of the triangle is equal to difference between  sum of squares of the other two sides and double of product of other sides and cosine of the angle included between them.

In mathematical terms it  means that ;

let a , b be the the know sides and "c" be the unknown side of the triangle ABC , and the known angle be = angle C ;

So , the side c will be ⇒ [tex]c^{2}= a^{2} +b^{2} - 2ab\times Cos(C)[/tex] ;

Therefore , the Cosine Law helps in finding the missing third side .

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Answer:

[tex] \sf \: \frac{75}{12} \: (or) \: 6.25[/tex]

Step-by-step explanation:

Given problem,

[tex] \sf \rightarrow \: 15 \times \frac{5}{12} [/tex]

Let's solve the problem,

[tex] \sf \rightarrow \: 15 \times \frac{5}{12} [/tex]

[tex] \sf \rightarrow \: \frac{(15 \times 5)}{12} [/tex]

[tex] \sf \rightarrow \: \frac{75}{12} = 6.25[/tex]

Hence, the product is 6.25.

Answer:

the anser is a

Step-by-step explanation:

The domain of the function f (x) = √x - 8 is,

⇒ Domain = [8, ∞)

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to given that;

The function is,

⇒ f (x) = √x - 8

Now, We can find the domain of the function as;

The function is,

⇒ f (x) = √x - 8

Domain is,

√ x - 8 ≥ 0

x - 8 ≥ 0

x ≥ 8

Thus, The domain of the function f (x) = √x - 8 is,

⇒ Domain = [8, ∞)

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The correct answer is c. as the age of a student increases, the frequency of the student's ages increases.

A skewed right population means that the data is distributed in such a way that the majority of the values are on the right side of the data set. In the case of a population of college students, this would mean that there is a greater frequency of older students (those in their late twenties or older) than younger students. As the age of a student increases, the frequency of the student's ages increases.

Option a. there are a greater number of older students is also correct, but it is not complete.

Option b. the modal age is greater than the median age is not correct, as the modal age is the most common age in the population and the median age is the middle value of the population, and there is no relationship between them.

Option d. there are more younger students within the population is not correct as a skewed right population indicates the opposite.

Option e. not enough information is not correct as the question is providing enough information to make a conclusion.

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Answer: the answer is B

Step-by-step explanation:

The list of the sample space is s = {Q, R, S, T}. Option B is the correct option.

What is the sample space?

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results. Discrete or finite sample spaces are those that have a finite number of outcomes.

The random experiment's sample spaces are written in curly brackets, "{ } ".

Given that a spinner wheel has four parts. It is labeled with the names Q, R, S, and T.

The elements of sample space are Q, R, S, and T.

The sample space is a set, thus write the elements in curly brackets.

The sample space is s = {Q, R, S, T}.

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The closest number to the circumference of the circle is 157 feet.

What is circumference?

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more generally referred to as the perimeter.

Given:

Kate bought a circular swimming pool with a diameter of 50 feet.

We have to find the closest number to the circumference of the circle.

Since,

Circumference = 2πr

where r is the radius of circle.

Here diameter of circle = 50 feet.

⇒ Radius of circle = 25 feet.

⇒ Circumference = 2*π*25 = 157.08

Hence, the closest number to the circumference of the circle is

157 feet.

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Answer:

s

Step-by-step explanation:

Answer:

The tip is 6 dollars

Step-by-step explanation:

Answer:

m = 3

Step-by-step explanation:

Answer:

m=3

Step-by-step explanation:

The total amount of sales he must make should be of $20800.

Given is that a salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of ​$26. Option B is a commission rate of 5​% on weekly sales

Assume that the amount of sales he needs to make is of ${x}. So, for same amount, we can write -

(26 x 40) = 5% of {x}

(26 x 40) = (5/100) x {x}

{x} = (26 x 40 x 100)/5

{x} = (26 x 40 x 20)

{x} = 26 x 800

{x} = 20800

Therefore, the total amount of sales he must make should be of $20800.

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The width for the second rectangle which is HIJK will be A. 24 inches.

From the diagram, it should be noted that rectangle ABCD is similar to rectangle HIJK. Therefore it should be noted that the relationship between the width and length is expressed as:

= Width / Length

= 12/16

= 3/4

Therefore, the width for the second rectangle will be:

= 3/4 × 3.2

= 2.4

In conclusion, the correct option is A.

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