The linear model below shows the total cost C (x) in dollars of x bracelets at a craft fair

Based on this data, how much do 20 bracelets cost?

Answer:

Look in explanation

Step-by-step explanation:

for each k(x) value, plug the x into the given equation

-4: 1/2 (-4) -1 = -2-1=-3

all are solved this way

-2: -2

0: -1

2: 0

4: 1

ordered pair will be (x, (k(x))

for example (-4, -3)

do this for all other points

slope can be found by taking the change in y over change in x

so -2- -4 divided by -2 - - 3 = 2/1 = 2

slope = 2

hope that makes sense

Answer:

89.28

Step-by-step explanation:

it travels 18.6 per second so we multiply per second

18.6 * 4.8 = 89.28

Answer:

89.28

Step-by-step explanation:

because if it goes 18.6 miles per second you are just multiplying by how many seconds it is traveling in.

The following sets of side dimensions could be combined to create a right triangle 6, 8, 13 is √3, √13, 4.

In the triangle, there are three angles: two acute angles and one 90-degree angle. The hypotenuse, perpendicular, and base are the terms used to describe the sides of a right-angled triangle.

The next choice shows the triangle's side length:

The point is,

The hypotenuse square of a right-angled triangle is equal to the sum of its squares on its other two sides, according to Pythagoras' Theorem.

Using Pythagoras' Theorem.

Use the formula:

a² + b² = c²

For 4, 8, 11

4, 8, 11

4² + 8² = 16 + 64 = 80

11² = 121

80 is not equal to 121 it cann ot form a right triangle

For 6, 8, 13

6² + 8² = 36 + 64 = 100

13² = 169

100 is equal to 169 - 69 can form a right triangle

For √3, √5, 8

(√3)² + (√5)² = 3 + 5 = 8

8² = 64

8 is equal to 64 cannot form a right triangle

For √3, √13, 4

(√3)² + (√13)² = 3 + 13 = 16

4² = 16

16 is equal to 16 can form a right triangle

In order to create a right triangle, one may utilise the following set of side measurements √3, √13 and 4 form a triangle.

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Answer:

D. its a two dimensional object

Answer:

A. It is a polygon

C. It is a one-dimensional object

The shape is a polygon in two dimensions since a polygon must have at least three straight sides.

Answer:

b.8

Step-by-step explanation:

2/3 = x/12

8/12 = x/12

x = 8

Hello!

The distance, d, is less than 200 miles.

B. d > 200

Answer:

The answer is $88

Step-by-step explanation:

The Math.random () function returns a floating-point, pseudo-random number in the range 0–1 (inclusive of 0, but not 1) with approximately uniform distribution over that range — which you can then scale to your desired range.

Answer:

We will first find out average time of each student.

Student 1 = 60 / 12 = 5

Student 2 = 60 / 10 = 6

Student 3 = 60 / 8 = 7.5

Student 4 = 60 / 6 = 10

Student 5 = 60 / 4 = 15

Now we will take the arithmatic mean of all students average time.

A = (5+6+7.5+10+15)/5 = 43.5/5 = 8.7 minutes per problem

The best line that fits the data that is represented in the graph above would be diagram A.

A straight line graph is defined as the type of graph that is shows that there is a linear relationship between the two variables that are being plotted.

From graphs given above, they are a typical example of a straight line graph but the line that best fits the data is line if diagram A.

This is because most of the plotted data passed through the straight line from origin(0,0).

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The volume of the composite figure is 3300 cubic feet.

From the question, we have the following parameters that can be used in our computation:

The composite figure that has:

The volume V of a cuboid is given by the formula:

V = l × w × h

Therefore, the volume is:

Volume = 24 ft × 5 ft × 25 ft + 4 ft * 3 ft * 25 ft

V = 3300 cubic feet

So the volume is 3300 cubic feet.

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Answer:

y=-1/3x+1/2

Step-by-step explanation:

2x+6y=3

bring 2x to the other side by subtracting : 6y=-2x+3

divide by 6 : y=-1/3x+1/2

Answer:

y = -1/3x + .5

Step-by-step explanation:

First we are  going to get y on a side by itself

6y = 3 - 2x

Then we divide by six to get our equation

y= .5 - 1/3x

In slope intercept form

y = -1/3x + .5

Answer:

P(x) = 5x - 600

Step-by-step explanation:

Given

Cost function C(x) = 600+2x

revenue function R(x) = 3x

If the profit function is related by the equation

P(x)=R(x)-C(x)

P(x)= 3x - (600-2x)

open the parenthesis

P(x) = 3x - 600 + 2x

P(x) = 3x+2x - 600

P(x) = 5x-600

Hence the profit function in standard form for Manuel's new product line is P(x) = 5x - 600

By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.

The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.

To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.

Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.

Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.

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Check the picture below.

so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.

\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)

now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.

So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark  happened between 0 and 5 seconds.

Answer:

exact form: 8√2

decimal form: 11.3137

Answer:

i dont know

Step-by-step explanation:

Answer:

x² + 9x + 20

Step-by-step explanation:

Area of a rectangle can be found by multiplying the base with height (or length with width).

A(r) = l x h.

Multiply. Plug in:

x + 5 for l

x + 4 for h

A(r) = (x +5) * (x + 4)

Use the FOIL method to solve. Multiply the first terms of both parenthesis, the outside terms, the inside terms, and then the last terms. Combine like terms:

A(r) = (x + 5) * (x + 4)

x * x = x²

x * 4 = 4x

5 * x = 5x

4 * 5 = 20

x² + 4x + 5x + 20

x² + (4x + 5x) + 20

x² + 9x + 20

x² + 9x + 20 is your answer.

~

Answer:

x will be equal to 1 because 1 is bigger than 0 but smaller than 2

therefore x=1

2x + 3y

ordered pair = (x,y) = (6,0)

Replace in the expression:

2(6)+3(0)

12 +0

12

The ordered pair makes the expression equal to 12.

Answer:

e. HS

Step-by-step explanation:

The argument:

[(P ≡ T) • (H • N)] ⊃ (T ⊃ ~S)

(T ⊃ ~S) ⊃ [(H ∨ E) ∨ R]

[(P ≡ T) • (H • N)] ⊃ [(H ∨ E) ∨ R]

is an instance of one of hypothetical syllogism (HS).

Hypothetical syllogism contains conditional statements for its premises.

Let

p = [(P ≡ T) • (H • N)]

q = (T ⊃ ~S)

r = [(H ∨ E) ∨ R]

The this can be interpreted as:

p ⊃ q

q ⊃ r

p ⊃ r

This interprets that:

If p then q

but if q then r

therefore if p then r

Thus, in logic HS is a valid argument form:

p → q

q → r

∴ p → r

Note that ⊃ symbol is used to symbolize implication relationships. This is used in conditional statements which are represented in the if...then... form.  For example p ⊃ q means: if p then q. So the type of Hypothetical syllogism used in this is conditional syllogism.

There are three parts of syllogism:

major premise

minor premise

conclusion

An example is:

If ABC is hardworking, then ABC will go to a good college.  

Major premise: ABC is hardworking.

Minor premise: Because ABC is hardworking , ABC will score well.

Conclusion: ABC will go to a good college.

Example of Hypothetical syllogism:

If AB is a CD, then EF is a GH

if WX is a YZ, then AB is a CD

therefore if WX is a YZ, then EF is a GH

This can be understood with the help of an example:

If you study the topic, then you will understand the topic.  

If you understand the topic, then you will pass the quiz.

Therefore, if you study the topic, then you will pass the quiz.

The geometric mean of 8 and 12 in the simplest radical form is 4√6

From the question, the numbers are given as

8 and 12

These numbers can be represented as

Term 1 = 8

Term 2 = 12

The geometric mean of these numbers is calculated as

Mean = √The product of the terms

Substitute the known values in the above equation, so, we have the following representation

Mean = √8 * 12

Evaluate the products

Mean = √96

Express as radical number

Mean = 4√6

Hence, the geometric mean is 4√6

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The area of the shaded region is  104 cm²

First, we need to know that the area of a circle is calculated using the formula;

A = πr²

Such that the parameters of the formula are;

First, let us find the area of the small circle

Area = 3.14 × 4²

Find the square value and multiply, we have;

Area = 50.24cm²

Area of the large circle = 3.14 × 7²

Find the square value and multiply

Area = 153. 86cm²

Area of the shaded region = Area of large circle - area of small circle

= 153.86 - 50.24

= 104 cm²

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Carleigh, Inc. should separate the organ meats from the residual and sell them abroad, as it would increase their total revenue by $17,150 per week.

To determine whether Carleigh, Inc. should separate the organ meats and sell them abroad, we need to calculate the incremental revenue and incremental costs associated with this decision.

The incremental revenue would be the revenue generated from selling the organ meats abroad, which is $52,000 per week. The incremental cost would include the cost of further processing ($27,500 per week), transportation cost ($12,100 per week), and the increase in resource spending for other activities ($3,120 per week).

Therefore, the incremental cost would be $42,720 per week. Subtracting this from the incremental revenue of $52,000, we get an incremental profit of $9,280 per week.

However, this decision would also decrease the value of the residual from $9,800 to $2,650 per week. Therefore, we need to subtract this decrease in value from the incremental profit. This gives us a net increase in profit of $17,150 per week ($9,280 - $7,130).

Thus, it would be beneficial for Carleigh, Inc. to separate the organ meats and sell them abroad.

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Answer:

\(274\,\text{in}^3\)

Step-by-step explanation:

\(V=\pi r^2h=\pi(3.75)^2(6.21)\approx274\,\text{in}^3\)

A) 252 \(ft^2\) of carpet will Jairo need for his  trapezoid office.

What is area?

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Here the given trapezoid , Base a = 10ft , Base b= 18ft and Height h = 18ft.

Now using area of trapezoid formula then,

=> Area A = \(\frac{a+b}{2}\times h\) square unit.

=> A = \(\frac{10+18}{2}\times 18\)

=> A = \(\frac{28}{2}\times 18\)

=> A = \(14\times18\)

=> A = 252 \(ft^2\)

Hence A) 252 \(ft^2\) of carpet will Jairo need for his office.

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The ordered pair(y,x) that is a solution to the equation is (1, 0)

The equation of the function is given as

-x + 6y = 6

The ordered pair is given as

(y, x)

This means that x is a function of y

So, we make x the subject in -x + 6y = 6

This gives

x = 6y - 6

Next, we assume a value for y and solve for x

Assume y= 1

so, we have

x = 6(1) - 6

Evaluate

x = 0

So, we have

(y, x) = (1, 0)

Hence, the ordered pair is (1, 0)

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Answer:

14

Step-by-step explanation:

angle 90° is opposite the side x. angle 45° is opposite side 7√2.

x/sin 90 = (7√2)/sin 45

multiply both sides by sin 90 (sin 90 is = 1).

x = (7√2)/sin 45

 = 14

$2.4 is the discount used to purchase a pair of sunglasses

percentage, a relative value indicating hundredth parts of any quantity.

Given that Alexandra bought a pair of sunglasses online for $24.

She used a coupon code to get a 20% discount.

The website also applied a 10% processing fee to the price after the discount.

20%-10%=10%

Now 10% of price is 24

10/100×24=x

2.4=x

24+2.4=26.4 is the actual price.

Hence, $2.4 is the discount used to purchase a pair of sunglasses

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The exact coordinates of points where the horizontal tangent exists are:

(0,2)

(\(\pi\),6)

(\(-\pi\),6)

What is meant by tangent?

A plane or straight line that meets a curve or curved surface at a particular place but does not cross it when extended.

Given function is f(x)=4-2secx

We can write it as

y=4-2secx

The slope of the tangent to this curve is:

\(\frac{dy}{dx} =-2secx*tanx\)

Given that the tangent is horizontal, which means that the slope is zero.

-2secx*tanx =0 when x is multiples of \(\pi\).

So we can take x=0, \(\pi\), -\(\pi\).

When x=0 ⇒ y=4-2sec0

⇒y=2

When x=π ⇒ y=4-2secπ

y=6

When x=-π⇒ y=4-2sec(-π)

y=6

Therefore the exact coordinates of points where the horizontal tangent exists are:

(0,2)

(\(\pi\),6)

(\(-\pi\),6)

The graph is attached below.

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According to the information we can infer that the scale drawing of the football field will have dimensions of 2.5cm by 4.5cm.

To create the scale drawing, we need to convert the real-life dimensions of the football field into centimeters and then apply the scale of 1:2000.

Real-life dimensions:

Converting to centimeters:

Applying the scale of 1:2000:

According to the above, the scale drawing of the football field will have dimensions of 2.5cm by 4.5cm.

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