Suppose a medical researcher constructs a mathematical model describing the size of a lesion. The model that describes the diameter of a lesion in cm as a function of time(days) is given by
D(t) = ((t-10)^2)÷20 ;x What is the instantenous rate of change of lesion on day 5

The quantity that is multiplied by pi in the formula for the area of a circle is the square of the radius

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

Area of a circle

The formula for the area of a circle is represented as

A = πr²

Express the formula as a product

So, we have the following representation

A = π * r²

In the above formula, we can see that the square of r is multiplied by pi

Hence, the required quantity is the square of the radius of the circle

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Answer:

try b

Step-by-step explanation:

Answer:

The answer is A. g(x) = f(x) + 4

Answer:

A-Volume is the amount of space inside an object.

C-Surface area is the sum of the areas of the faces of an object.

D-Surface area and volume are measurements of three-dimensional objects.

Step-by-step explanation:

Got it right on edge unit test

The true statements are:-

A-Volume is the amount of space inside an object.

C-Surface area is the sum of the areas of the faces of an object.

D-Surface area and volume are measurements of three-dimensional objects.

Volume is defined as the space occupied by any object in the three dimensions. All three parameters are required for the volume like length, width, and height of the cube.

The correct statements can be written below:-

A-Volume is the amount of space inside an object.

C-Surface area is the sum of the areas of the faces of an object.

D-Surface area and volume are measurements of three-dimensional objects.

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The equation z = 30x represents a direct variation the two variables, z and x, are directly proportional to each other. a.

Direct variation can be defined as a relationship between two variables where their values increase or decrease at the same rate.

In the case of the given equation, as x increases, z also increases proportionally.

Similarly, if x decreases, z will also decrease proportionally.

Direct variation can be represented as y = kx, where y and x are the variables, and k is the constant of variation.

In the given equation, we can see that z is the dependent variable, and x is the independent variable.

We can rewrite the equation as z = kx, where k = 30.

To understand how direct variation works, let's consider an example. Suppose we have an equation y = 5x, where y represents the cost of buying x apples at $5 per apple.

Here, the cost of buying apples is directly proportional to the number of apples purchased.

For instance, if we buy 10 apples, the total cost will be 10 × $5 = $50.

Similarly, if we buy 20 apples, the total cost will be 20 × $5 = $100.

Thus, we can see that the cost increases as the number of apples purchased increases, and vice versa.

The given equation z = 30x represents a direct variation is a type of relationship between two variables where their values increase or decrease proportionally.

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Answer:

B. 3.75

Step-by-step explanation:

Lets take .05 of 75 to find our answer. An easy way to transform percentages into decimals is to view it as moving the point two times: 3.% -> .3 -> .03  or 25.% -> 2.5 -> .25

Okay, lets solve this one:

.05 x 75 = 3.75

Therefore, they would save $3.75 on their purchase.

Hope this helps!!

Valentino's Pizzeria should anticipate selling 563 Stuffed crust pizza.

The data for the type of crust on the pizza and the number of pizzas sold are given.

Thin crust: 299

Thick crust: 228

Stuffed crust: 168

Pan style: 199

Total pizza = 299 + 228 + 168 + 199

Total pizza = 894

The frequency with which a Stuffed crust pizza is sold = 168/894 = 28/149.

As a result, if Valentino's Pizzeria sells 3000 pizzas, this same expected number of Stuffed crust pizza sold is calculated by the given formula.

Number of Stuffed crust pizza Sold = Purchase Frequency of Stuffed crust pizza X Total Sales.

= 28/149 × 3000

= 563.75

= 563 pizza.

Thus, Valentino's Pizzeria should anticipate selling 563 Stuffed crust pizza.

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The equation that models the balance y after x is y = -145x + 1400

given that

Zachary uses a payment plan to buy a PC for $1,400. His balance was $820 four months after he made the computer purchase. His amount was $240 eight months after he made the computer purchase.

Assume it has to do with developing an equation that represents this loan as a function of time. Use the loan amount as Y and the time as X.

Now Put that in the standard format:

Y = mX + b

according to the question

at x = 0 then y = 1400

at x = 4 then y = 820

at x = 8 then y = 240

now find the slope

points are (4,820) & (8,240)

\(slope = \frac{y2 - y1}{x2 - x1} \)

\(slope = \frac{240 - 820}{8 - 4} \)

\(slope = \frac{ - 580}{4} \)

slope = -145

now the equation is y = -145x + b

Let x = 4 & y = 820

then

820 = -145(4) + b

820 = 580 + b

b = 820 + 580

b = 1400

finally the equation is

y = -145x + 1400

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Answer:

283.5

Step-by-step explanation:

a) The account with the largest balance is D. Rent A Truck which is $165.

b) The open account is D. Rent A Truck.

c) Since it takes seven years for negative credit history to be removed from a person's credit report, the year that the late payment at Rent A Truck will be removed is 2016, specifically by the end of February 2016.

A credit report records the borrower's credit history from various sources, including banks, credit card companies, collection agencies, and governments prepared by the following credit reporting bureaus: Equifax, Experian, and TransUnion.

An open account refers to a credit that has not been fully discharged.

Unlike a closed account, the open account remains operational, with debit and credit transactions recorded, including finance charges and credit reports issued from it.

Thus, based on the facts supplied, Rent A Truck is the only open account because the other three have been closed.

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The equation of the graph is (b) y = (x + 4)(x + 2)(x - 1)

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

The graph

The graph is a polynomial graph with the following zeros and multiplicities

The equation is then represented as

y = (x - zero) to the exponent of the multiplicities

So, we have

y = (x + 4)(x + 2)(x - 1)

Hence, the equation of the graph is (b) y = (x + 4)(x + 2)(x - 1)

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Answer:

x = 2

Step-by-step explanation:

24 - 7x = 10

Rearrange terms,

-7x + 24 = 10

Subtract 24 from both sides,

-7x + 24 - 24 = 10 - 24

-7x = 10 - 24

-7x = -14

Divide by sides by -7,

\(\frac{-7x}{-7}=\frac{-14}{-7}\)

\(x=\frac{-14}{-7}\)

x = 2

Answer:

93

Step-by-step explanation:

Answer: The first one 9³

Step-by-step explanation:

Note:   9³ or nine to the third power or 9-cubed is correct, because we are multiplied the number 9 by itself, three times

   The value equal to:    

             9*9*9 is equal to:  9³

     that is, nine to the THIRD power or:

                 nine to the power of three

Answer:

What is a linear function? A linear function is a function whose graph is a straight line. The rate of change of a linear function is constant. The function shown in the graph below, y = x + 2, is an example of a linear function.

Graph of linear function

Graph of linear function

A linear function has a constant rate of change. The rate of change is the slope of the linear function. In the linear function shown above, the rate of change is 1. For every increase of one in the independent variable, x, there is a corresponding increase of one in the dependent variable, y. This gives a slope of 1/1 = 1.

A linear function is typically given in the form y = mx + b, where m is equal to the slope, or constant rate of change.

Examples of linear functions include:

If a person drives at a constant speed, the relationship between the time spent driving (independent variable) and the distance traveled (dependent variable) will remain constant.

Assuming no change in price, the relationship between the number of pounds of bananas a person buys (independent variable) and the total cost of the bananas (dependent variable) will remain constant.

If a person earns an hourly wage at their job, the relationship between the time spent working (independent variable) and the amount earned (dependent variable) will remain constant.

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Exponential Functions

What is an exponential function? An exponential function is a function that involves exponents and whose graph is a smooth curve. The rate of change in an exponential function is not constant. The functions shown in the graph below, y = 0.5x and y = 2x, are examples of exponential functions.

Graphs of exponential functions

Graphs of exponential functions

An exponential function does not have a constant rate of change. The rate of change in an exponential function is the value of the independent variable, x. As the value of x increases or decreases, the rate of change increases or decreases as well. Rather than a constant change, as in the linear function, there is a percent change.

An exponential function is typically given in the form y = (1 + r)x, where r represents the percent change.

Examples of exponential functions include:

Step-by-step explanation:

Answer:

I think is higher

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hi there!

The first one is addition because if she got more, we are adding to it.

The last one seems to be a multiplication problem, "each friend"

I am so sorry if this is wrong, Hope you have a good day/night.

Answer:

27

Step-by-step explanation:

Any positive integer to 3rd power will have positive answer.

Odd functions with number next to x^3 that is positive are increasing from left to right and thay also have a rotational symmetry with respect to the origin.Whe you put this together it's clear that the answer is 27

Answer:

D, 4√7

Step-by-step explanation:

Answer:

Step-by-step explanation:

c = 16

a = 12

b = ?

a^2 + b^2 = c^2

12^2 + b^2 = 16^2

144 + b^2 = 256

b^2 = 256 - 144

b^2 = 112

b^2 = 16 * 7

sqrt(b^2) = sqrt(16)*sqrt(7)

b = 4 * sqrt(7)

Answer:

D ko alam hahahahhahaahahahahahahahahahahahahahahahaaha

The break-even point for the toys is 8000

The equations are given as:

Cost function of the toys => y = 0.3x + 7200

Residual function => y = 1.2x

The break-even point for the toys is the point where the cost and the residual are equal.

So, we have

1.2x = 0.3x  7200

Subtract 0.3x from both sides of the equation

0.9x = 7200

Divide both sides by 0.9

x = 8000

Hence, the break-even point for the toys is 8000

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The visual that can help you in  creating a  3D structure using rectangular prism and others is given in the image attached.

3D structure creation is the method of planning and building three-dimensional structures or objects utilizing various materials and methods. This may make use of physical development with the use of materials such as wood, metal, and plastic, as well as virtual development utilizing computer program programs.

In virtual 3D structure creation, creators make use of program to make 3D models of structures or objects. These models can be seen and controlled in virtual space, and can be utilized to reenact how the structure  will see and work within the real world.

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See text below



1. Start by creating a rectangular prism

as the base of your structure. This will

be the main structure that includes

the walls and interior rooms.

2. Add a cylindrical tower to one corner of the rectangular prism. Adjust the size and height to your liking.

3. Add another cylindrical tower to the opposite corner of the rectangular

prism. Again, adjust the size and

height to your liking.

4. Add a pyramid-shaped roof to one of the cylindrical towers, and a cone-

shaped roof to the other cylindrical tower.

5. Add a second rectangular prism on top of the first one, with a different orientation or size. This can serve as an additional room or tower.

6. Add a pyramid-shaped roof to the second rectangular prism, and a cone-shaped roof to the cylindrical tower that does not have one yet.

7. Add a rectangular prism

perpendicular to the main structure,

creating an L-shape. This can be a

separate building or an extension of

the main structure.

8. Add a pyramid-shaped roof to the new

rectangular prism, and a cone-shaped roof to the cylindrical tower on the

opposite side of the main structure. 9. Finally, add spheres as decorative

elements to the walls and towers. You can also add other shapes, such as additional rectangular prisms,

pyramids, or cones, as long as you have at least 2 of each of the 5

required shapes.

A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

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The answer is:

g(x + 1) = 6x + 1

g(4x) = 24x -5

Work/explanation:

To evaluate, I plug in x + 1 into the function:

\(\sf{g(x)=6x-5}\)

\(\sf{g(x+1)=6(x+1)-5}\)

Simplify

\(\sf{g(x+1)=6x+6-5}\)

\(\sf{g(x+1)=6x+1}\)

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

Do the same thing with g(4x)

\(\sf{g(4x)=6(4x)-5}\)

\(\sf{g(4x)=24x-5}\)

Hence, these are the answers.

Step-by-step explanation:

(a) How would you characterize the relationship between the hours spent on homework and the test scores? Explain

For this case what we see is that we have a scatter diagram, which we can model using a linear trend defining the following variables:

x: number of hours studied.

y: test scores.

The linear relationship would be of the form:

y = mx + b

(b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h of homework?

y = 8x + 40

For three hours of study we have that the note would be approximate:

y = 8 * (3) + 40

y = 64

(c) What does the number 40 in Part (b) mean in the context of the situation?

The number 40 means that if you do not devote any study time, then you expect the test score to be 40.

Step-by-step explanation:

Area= 13.86 cm²

πr²= 13.86 cm²

r= √13.81 ×7/22

r= 2.1 cm

Circumference= 2πr

= 2 × 22 × 2.1 / 7

=13.2 cm

Answer:

circumference is the outside area of a circle

area of the circle is the inside area

Answer:

20

Step-by-step explanation:

We need to determine what fraction of the container 6 gallons is. We know the difference between 2/5 and 7/10 is 6 gallons, so all we have to do is solve for 7/10 - 2/5. The common denominator is 10, as both 5 and 10 are factors of 10. 10/5 is 2, so we multiply the numerator of 2/5 by 2.

7/10 - 4/10 = 3/10

We now know that 6 gallons is 3/10 of the container. Now we solve.

10/3 = 3 1/3

So:

6 x 3 1/3 = 20

Answer:

20 gallons.-

Step-by-step explanation:

Let x be the number of gallons that the container holds.

The we have the equation

2/5 x + 6 = 7/10 x

Multiply through be 10

4x + 60 = 7x

3x = 60

x = 20.

Answer:

3 yards

Step-by-step explanation:

Divide inches by 36

\(108/36\\=3yards\)

Answer:

\(3 \: \: yards\)

Step-by-step explanation:

\(1 \: \: yard = 36\: \: inches \\ yard \: \: x = 108 \: \: inches\)

So,

\( 1 = 36 \\ x = 108 \\ \\ cross \: \: \: multiple \\ \\ 108 = 36x \\ \frac{108}{36} = \frac{36x}{36} \\ x = 3 \: \: yards\)

hope this helps

brainliest appreciated

good luck! have a nice day!

The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6  < √7 <  π  < 2√6

(a)

π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)

√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)

2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)

√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)

(b)

Order from least to greatest:

√6  < √7 <  π  < 2√6

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