The table below shows the lengths and weights of six dolphins at an aquarium. Use the data from Pax and Snowflake to create a linear model that predicts the weight (y) of a dolphin given its length (x). Which dolphin's weight differs most from the value predicted by this model?

We can see here that x will be = 123.4°.

A polygon is actually known to be a two-dimensional geometric shape. It is a shape that is known to be defined by a closed path. It consists of finite sequence of straight line segments.

The segments are actually known as sides or edges and which are connected at vertices or corners.

Looking at the shape, we see that the regular pentagon and heptagon are joined together on one side.

Thus, exterior angle of a regular pentagon (5 sides) = 360°/5 = 72°.

The exterior angle of a regular heptagon (7 sides) = 360°/7 = 51.4°

Thus, x° = 72° + 51.4° = 123.4°

Learn more about polygon on https://brainly.com/question/1592456

#SPJ1

The radius of the cylindrical cup is 6 centimeters.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given that the volume of the cylindrical cup is 1356.48 cubic centimeters and the height is 12 cm.

We can substitute these values into the formula and solve for the radius:

V = π × r² × h

r = √( V / (πh) )

r = √( 1356.48 / ( 3.14 × 12) )

r = 6 cm

Therefore, the radius is 6cm.

Option C) 6cm is the correct answer.

Learn more on volume of cylinder here: https://brainly.com/question/16685898

#SPJ1

The monomials in the expression are given as follows:

x², xy, -8y².

The simplified polynomial is given as follows:

9x² + 9xy - 72y².

With the application of the distributive property, the outer term multiplies each of the inner terms of the expression. If possible, these inner terms than can be added or subtracted combining the like terms.

The expression for this term are given as follows:

9(x² + xy - 8y²).

The inner term is a polynomial composed by the sum/subtraction of the monomials presented as follows:

x², xy, -8y².

Applying the distributive property, the simplified polynomial is given as follows:

9x² + 9xy - 72y².

More can be learned about the distributive property at brainly.com/question/2807928

#SPJ1

The interpretation of the slope and y-intercept of this equation is that: C. The slope predicts a temperature increases of about 1/6 for every increase of 1 chirp per minute. The y-intercept shows that when the crickets are not chirping (x = 0), the temperature is 60 degrees.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Since Ronnie determined that the association between the number of chirps per minute (x) that crickets make at different temperatures (y) in degrees Fahrenheit is linear and that the line of best fit is given by;

y = 1/6(x) + 60

By comparison, we have the following:

Slope, m = 1/6.

y-intercept = 60.

Read more on slope-intercept here: brainly.com/question/7889446

#SPJ1

The possible outfits that Casey can make is 30 and  this is shown in the image that is attached.

The tree diagram is known to be one that shows the hierarchical organization of tasks and subtasks that must be done to achieve a goal. The branching diagram start with a single element that divides into two or more, each of which further divides into two or more, and so forth.

Based on the question, Casey has:

5 shirts

3 skirts

2 blazers

Therefore, to make a tree diagram of any possible outfits that Casey can make.​, there are a total of:

5 x 3 x 2

= 30

So, the possible outfits that Casey can make is 30.

Learn more about outfits  from

https://brainly.com/question/788047

#SPJ1

The symbols that would complete the inequality for the range include the following:

-2 ≤ y < 5.

c is less than or equal to.

d is less than.

In Mathematics, a range can be defined as the set of all real numbers that connects with the elements of a domain.

Based on the information provided about the graph of this function, we can reasonably infer and logically deduce that the domain and range can be written as follows:

Domain = {-4, 4} or -4 < x ≤ 4.

Range = {-2, 5} or -2 ≤ y < 5.

In conclusion, the missing symbols are "less than or equal" to and "less than" respectively.

Read more on range here: https://brainly.com/question/13634469

#SPJ1

Complete Question:

Use the drop downs to determine which symbols would complete the inequality for the range. −2 ___(c)___ y ___(d)___ 5 (c) (d) On a coordinate plane, a graph of an image with a curve and straight line has 2 points. A closed circle appears at (negative 4, negative 2) and an open circle appears at (4, 5).

The values of x  and y in the geometric progression are 10 and 20

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

5, x, y, and 40

To calculate the values of x and y, we have

x/5 = 40/y

Cross multiply

So, we have

xy = 200

Set x = 10

So, we have

10y = 200

This gives

y = 20

So, we have

10/5 = 40/20 = 2 --- true

Hence, x is 10 and y is 20

Read more about sequence at

https://brainly.com/question/30499691

#SPJ1

The time it takes (1/x) + (1/(x + 5)) + (1/(4x + 20))

​

From the question,

Marla takes 5 hours more than Tom: M = T + 5

Bob takes 4 times as long as Marla: B = 4M

work is inversely proportional to the time hence

Tom: 1/T

Marla: 1/M

Bob: 1/B

When we express this,

Marla: 1/(T + 5)

Bob: 1/(4*(T + 5))

We would have to solve for the total work in a given hour

= (1/T) + (1/(T + 5)) + (1/(4*(T + 5))

In one hour, Tom cаn clеan 1/х оf thе building, Mаrlа cаn clеan 1/(x + 5) оf thе building, and Вob cаn clеan 1/(4х + 20) оf thе building.

then 1/T = 1/x

1/(T + 5) = 1/(x + 5)

1/(4*(T + 5)) = 1/(4x + 20)

The expression would be written as:

work in one hour = (1/x) + (1/(x + 5)) + (1/(4x + 20))

Read more on mathematical expression here:https://brainly.com/question/1859113

#SPJ1

By evaluating the function related to the second derivative f''(x) = - 25 · sin 5x is equal to f(π / 5) = (14π - 50) / 25.

In this question we find the definition of the second derivative of a function, this function must be found by integrals and initial values. First, write the entire function:

f''(x) = - 25 · sin 5x

Second, determine the first derivative:

f'(x) = (1 / 5) · cos 5x + C₁

f(0) = (1 / 5) · cos 0 + C₁

3 = 1 / 5 + C₁

C₁ = 14 / 5

f'(x) = (1 / 5) · cos 5x + 14 / 5

Third, determine the function:

f(x) = (1 / 25) · sin 5x + (14 / 5) · x + C₂

f(0) = (1 / 25) · sin 0 + (14 / 5) · 0 + C₂

- 2 = (1 / 25) · sin 0 + (14 / 5) · 0 + C₂

- 2 = C₂

f(x) = (1 / 25) · sin 5x + (14 / 5) · x - 2

Fourth, evaluate the function:

f(π / 5) = (1 / 25) · sin π + (14 / 5) · (π / 5) - 2

f(π / 5) = 14π / 25 - 2

f(π / 5) = (14π - 50) / 25

To learn more on integrals: https://brainly.com/question/22008756

#SPJ1

Answer: A. 102

Step-by-step explanation:

1,125 divided by 11 is 102.2727... so only 102 full goodie bags can be made.

The proportion when completed for the triangles is a/c = h/b

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

The right triangles

The first expression in the proportion is a/c

This proportion represents leg/hypotenuse expression

Using this as a guide, we can make use of the following proportion

h/b

So, the complete equation is a/c = h/b

Read more about right triangles at

https://brainly.com/question/2437195

#SPJ1

The volume of the cylinder is 238. 7m³

The formula that is used for calculating the cross-sectional area of a cylinder is expressed with the equation;

A = πr²

Such that;

From the information given, we have that;

17 = 3.14 × r²

Divide the values

r² = 5. 414

Find square root

r = 2.33 m

The volume of a cylinder is given as;

Volume = πr²h

Substitute the values

Volume = 3.14 × 2.33² × 14

Multiply the values

Volume = 238. 7m³

Learn about cylinders at: https://brainly.com/question/9554871

#SPJ1

The area of one face of the cube that has a volume of 3375 cubic inches is: 225 square inches.

A cube has equal edge length, and therefore has faces with the same area. The formula for finding the volume of a cube is given as:

Volume of cube = s³, where s is the side length of the cube.

Also, to find the area of one face of a cube, we would use the formula below:

Area of one face of a cube = s².

Given the following:

Volume of a cube = 3375 cubic inches

Find s as shown below:

s = ∛3375

s = 15 inches.

Therefore, we have:

Area of one face of a cube = 15² = 225 square inches.

Learn more about the cube on:

https://brainly.com/question/26726803

#SPJ1

The machine's purchasing cost is $309,210.

The acquisition cost of the machine is the total cost incurred by the firm to purchase and put the machine into service.

To determine the acquisition cost of the machine, we need to add up all the costs listed in the question.

Invoice price = $299,000

Applicable sales tax = $2,100

Freight paid = $1,160

Cost of insurance coverage = $1,025

Installation costs = $1,900

Testing and adjusting costs = $1,375

Repair of damages caused by the firm's employees = $1,450

Prepaid maintenance contract = $1,200

Total acquisition cost = Invoice price + Sales tax + Freight paid + Cost of insurance coverage + Installation costs + Testing and adjusting costs + Repair of damages caused by the firm's employees + Prepaid maintenance contract

Total acquisition cost = $299,000 + $2,100 + $1,160 + $1,025 + $1,900 + $1,375 + $1,450 + $1,200

Total acquisition cost = $309,210

Therefore, the acquisition cost of the machine is $309,210.

Learn more about cost acquisition here:

https://brainly.com/question/31378114

#SPJ1

For a company that charges $5.10 plus 5.747 cents per kilowatt-hour (kWh) for customers using up to 1300 kWh, and charges 5.788 cents per kilowatt-hour (kWh) for the extra kWh used after the first 1300 kWh, if more than 1300 kWh are used, the total charge for 1,300 kWh is $79.811.

The total charge is the product of the multiplication of the unit rate by the total kilowatt-hours used by the customer plus the fixed rate.

Multiplication operation is one of the four basic mathematical operations, including addition, subtraction, and division.

Multiplication involves the multiplicand, the multiplier, and the product.

Fixed charge = $5.10

Variable charge per kilowatt-hour = 5.747 cents ($0.05747)

Total usage  = 1,300 kWh

The total charge = $79.811 ($5.10 + $0.05747 x 1,300)

Thus, the total charge for 1,300 kWh for the nonextreme weather month is $79.811.

Learn more about the total charge (fixed and variable) at https://brainly.com/question/29065198.

#SPJ1

Answer:

y = [tex]\frac{-3}{8}[/tex]x - [tex]\frac{57}{8}[/tex]

Step-by-step explanation:

a perpendicular slope is the opposite reciprocal.  The slope will be [tex]\frac{-3}{8}[/tex]

Two write the equation, you need the slope and the y-intercept.  We have the slope ([tex]\frac{-3}{8}[/tex]).  We know need to find the y-intercept.

We will use the m or slope of [tex]\frac{-3}{8}[/tex], x value of -3 from the point (-3,-6)and the y value of -6 from the point (-3,-6)

y = mx + b

-6 = [tex]\frac{-3}{8}[/tex]([tex]\frac{-3}{1)}[/tex]) + b

-6 = [tex]\frac{9}{8}[/tex] + b  Subtract [tex]\frac{9}{8}[/tex] from both sides

[tex]\frac{-6}{1 }[/tex] - [tex]\frac{9}{8}[/tex] = [tex]\frac{9}{8}[/tex] - [tex]\frac{9}{8}[/tex] + b  Use the common denominator of 8

[tex]\frac{-48}{8}[/tex] - [tex]\frac{9}{8}[/tex] = b

[tex]\frac{-57}{8}[/tex] = b

y = [tex]\frac{-3}{8}[/tex]x - [tex]\frac{57}{8}[/tex]

The amount of money that will be in the account after 10 years is: $1297.70

The formula for solving compound interest is expressed as:

A = P(1 + r/n)^(nt)

where:

A is Accrued amount (equal to principal added to interest)

P is the Principal amount

r is the annual nominal interest rate expressed as a decimal

R is termed as the annual nominal interest rate which is expressed as a percentage

r is equal to R/100

n is the number of the compounding periods per unit of the time

t is the time which is expressed in decimal years

We are given:

r = 0.0375

n = 2 times per year

t = 10 years

P = $895

Thus:

A = 895(1 + 0.0375/2)^(2 * 10)

A = $1297.70

Thus, that is the money that will be in the account after a period of 10 years

Read more about Compound Interest at: https://brainly.com/question/24274034

#SPJ1

The fraction in factored form is determined as  (x - 8)(x + 10) / (x - 10)(x + 8).

The quotient of the division is calculated as follows;

( x² - 3x - 40 )/ (x² + 8x - 20) ÷ (x² + 13x + 40)/(x² + 12x + 20)

Factorize each of the expressions;

x² - 3x - 40

= x² + 5x - 8x - 40

= x(x + 5) - 8(x + 5)

= (x + 5)(x - 8)

x² + 8x - 20

= x² + 2x - 10x - 20

= x(x + 2) - 10(x + 2)

= (x + 2)(x - 10)

x² + 13x + 40

=  x² + 5x + 8x + 40

= x(x + 5) + 8(x + 5)

= (x + 5)(x + 8)

x² + 12x + 20

=  x² + 2x + 10x + 20

= x(x + 2) + 10(x + 2)

= (x + 2)(x + 10)

The fraction in factored form is written as;

(x + 5)(x - 8)/(x + 2)(x - 10) ÷ (x + 5)(x + 8)/(x + 2)(x + 10)

(x + 5)(x - 8)/(x + 2)(x - 10)  x  (x + 2)(x + 10)/(x + 5)(x + 8)

= (x - 8)(x + 10) / (x - 10)(x + 8)

Learn more about factorization here: https://brainly.com/question/18187355

#SPJ1

The area of the composite figure is equal to 521.080 square milimeters.

In this problem we have the representation of a composite figure, whose area should be found. This figure is the consequence of the combination of  three figures: a semicircle, a rectangle and a triangle. The area formulas for each case are introduced below:

Semicircle

A = 0.5π · r²

Where r is the radius, in milimeters.

Rectangle

A = b · h

Triangles

A = 0.5 · b · h

Where:

Now we proceed to compute the area of the composite figure:

A = 0.5π · (10 mm)² + (20 mm) · (14 mm) + 0.5 · (12 mm) · (14 mm)

A = 50π mm² + 280 mm² + 84 mm²

A = 521.080 mm²

The statement is absent. Complete statement is introduced below:

Find the area of the figure.

To learn more on areas of composite figures: https://brainly.com/question/23718948

#SPJ1

Answer:

The answer is D.

[tex] \frac{1}{5}(12x - 10)[/tex]

A graph of this function d = 45t is shown in the image below.

In Mathematics and Geometry, a proportional relationship refers to a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

d = kt

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 45/1 = 90/45

Constant of proportionality, k = 45.

Therefore, the required linear equation or function is given by;

d = kt

d = 45t

Read more on proportional relationship here: brainly.com/question/28350476

#SPJ1

Answer: hmm this question is based on 6-80 and if you calulate the sum and difference it is -74

The probability that her Internet service is not broken for five days in a row is given by P ( A ) = 0.0102

Given data ,

Let the probability that the internet connection is lost = 60 %

Now , We may utilize the probability of independent occurrences occurring sequentially to determine the likelihood that her Internet service won't be down for five days in a row. We may add the probability for five days as the occurrences of her Internet service being down or up on each day are independent.

The likelihood of her Internet service remaining operational for one day is 0.40.

Her chances of having uninterrupted Internet access for five days are equal to (0.40)⁵

P ( A ) =  (0.40)⁶ is about equivalent to 0.0102

Hence , the probability of Ashley's Internet service remaining up for five consecutive days is around 0.0102 or 1.02%

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ1

The volume of the figure created is 98 cubic units.

Given that:

A triangle with coordinates (0,0), (0, 7), and (6,0) is rotated 360 degrees about the x-axis.

A cone is formed when a triangle rotates. Then the volume created is calculated as,

V = 1/3 x 7² x 6

V = 49 x 2

V = 98 cubic units

The volume is 98 cubic units.

More about the volume link is given below.

https://brainly.com/question/1578538

#SPJ1

The composite numbers between 10 and 20 are: 12, 14, 15, 16 and 18 which have more than 2 factors.

To find a composite number, we find the factors of the given number. The best way to determine a composite number is to do a divisibility test. The divisibility test helps us determine if the number is prime or composite. Divisibility means that one number is divided completely (without remainder) by another number.

The solutions to the expressions are (m-8)² = m² - 16m + 64 and 2m²-16m + m²-8m+161 = 3m²- 24m + 161

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

(m-8)²

Expand

So, we have

m² - 16m + 64

Next, we have

2m²-16m + m²-8m+161

Evaluate the like terms

3m²- 24m + 161

Read more about expressions at

https://brainly.com/question/15775046

#SPJ1

Answer:

Step-by-step explanation:

If the large Jar is $4.10 for 540g

and  small jar  $2.81 for 360 g

You need to show how much it cost for 1 g,so you can compare how much it cost per gram. You would divide the total cost by the grams to see how much it is for 1 g.

Large jar.   $4.10/540 = $.0076  for 1 gram

Small Jar.   $2.81/360 =$.0078 for 1 gram

Because the large jar is cheaper to buy per gram, the large jar is the best value for the money.

A price-setter company will use more: cost-plus pricing methods

A company endowed with the capability to set their own market prices is likely to resort to various pricing approaches, such as cost-plus, target costing, and target pricing methods.

However, targeting pricing proves to be the most preferable scheme of these since it involves establishing the desired selling price based on estimated market value before factoring in acceptable expenses to procure an adequate profit margin.

Read more on cost-plus pricing methodscompanyhere:https://brainly.com/question/29509908

#SPJ1

A price-setter company, which has considerable market power, is more likely to use cost-plus pricing methods. This method ascertains the price of a product by determining the cost of production and then adding a certain amount for profit. Hence, this strategy ensures that the company covers all costs and makes a profit on each sale.

A price-setter company, which has significant market power, is likely to use more cost-plus pricing methods. In a cost-plus pricing method, the company sets the price of a product by determining the cost of production and then adding a specific amount or percentage as profit. This pricing strategy is straightforward and ensures that all costs are covered and a profit is made on each sale. It offers stability and predictability, which is desirable for a price-setter company with substantial control over the market.

On the other hand, target costing and target pricing methods involve setting a price first and then figuring out how to meet that price with production. These methodologies are typically used in more competitive industries, where companies don't have as much power to set their own prices.

However, a price-setter company, assuming it's not in a perfectly competitive market, has the power to set the price without having to intensely consider competitors' prices or customers' price sensitivity, therefore, it may use cost-plus pricing methods more.

https://brainly.com/question/31672276

#SPJ6

The problem has no real number solutions since the discriminant is equal to -16.

Given the quadratic equation below:

-1 = 5x² -2x,

On rearranging the equation will becomes;

5x² -2x+1 = 0

The formula for calculating the discriminant is expressed as:

D = b^2 - 4ac where:

a = 5

b = -2

c = 1

Substitute to have:

D = (-2)^2 - 4(5)(1)
D = 4 - 20
D = -16

The discriminant is equal to -16, which means the equation has no real number solutions.

Learn more on discriminant here: https://brainly.com/question/24730520

#SPJ1