3
Consider the following number pattern.
2; 18; 7; 12; 12; 6; 17......
(a) Write the next two terms of the sequence.

Answer:

Where is the picture?

Step-by-step explanation:

Answer:Handcuffs are sometimes sold as souvenirs because they are often associated with law enforcement and can be seen as a symbol of authority and justice. Many people find them interesting or intriguing because of their association with police officers and the justice system.

Additionally, handcuffs have a unique and recognizable design, and can be made from high-quality materials, which makes them attractive as novelty items or collectibles. Some people may also find them useful as a prop for costumes or theatrical productions.

However, it's worth noting that handcuffs are primarily designed for use in law enforcement and should not be used for any unlawful or unethical purposes. It's important to handle them responsibly and with respect for their intended purpose.

Step-by-step explanation:

Answer:

(8.47,0) (-0.47,0)

Step-by-step explanation:

y = a(x - h)² + k

y = a(x - 4)² - 20

-4 = a(0 - 4)² - 20

16 = 16a

a = 1

y = (x - 4)² - 20

x-intercepts: y = 0

(x - 4)² = 20

x - 4 = +/- 4.47..

x = 4.47+4, -4.47+4

x = 8.47, -0.47

Options :

A cookies per pound

B. O pounds per hour

c. cookies per hour

D. hours per cookie

Answer: C.) Cookies per hour

Step-by-step explanation:

Given the following :

Number of cookies baked = 225 cookies

Total time taken = 5 hours

Amount of sugar used = 8 pounds

Tara divides 225 by 5; 225 / 5 = 45

Rate gives the amount or number of times something occurs within a given period, Hence

The rate obtained by Tara corresponds to the ratio of ; (Total cookies baked / total time taken) = (225 / 5), this translates to the amount or number of cookies baked within an hour.

Answer:

I choose C for mine and was correct :)

Step-by-step explanation:

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

The amount of cherries bought by the Harrison is 62.5 pounds.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

The amount of cherries bought by the Harrison should be more than the cherries bought by the Liam which is 5/8. Thus, The amount of cherries bought by the Harrison is more than the 5/8 or 62.5 pounds of cherries percent.

The cherries bought by the Liam is 5/8 pounds

The cherries bought by the Harrison is more than the Liam.

As in the problem the number of cherries bought Harrison (let) should be more than the cherries bought by the Liam (let ). Therefore,

H > L

As we know that the number of cherries bought by the Liam is 5/8 pounds. Keep the value of  in the above equation, we get,

H > 5/8

This equation can be rewritten in the percentile form as,

h > (5/8) * 100 %

h > (5/2) * 25 %

h > 62.5 %

Hence, The amount of cherries bought by the Harrison is more than 5/8 pounds or 62.5 pounds of cherries percent.

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(5, —12); т —

2

5 it's help as

Answer:

2,002,395.5555556

Step-by-step explanation:

This is the answer to this question

please let me know

Answer:

$25

Step-by-step explanation:

Cost of one article = $2.50

Total number of articles = 10

Therefore,

Total cost = Cost of one article*Total number of articles

= 2.50*10

= $25

The number of self-service stores in a country that are expected to adopt new technologies can be estimated using the given model du/dt = y - 0.0008y², with an initial condition of y(0) = 10, where t is measured in months.

The given model represents a first-order nonlinear ordinary differential equation. The equation du/dt = y - 0.0008y² describes the rate of change of the number of stores adopting new technologies (u) with respect to time (t). The term y represents the current number of stores adopting new technologies, and 0.0008y² represents a decreasing rate of adoption as the number of stores increases.

To estimate the number of stores expecting to adopt new technologies, we need to solve the differential equation with the initial condition y(0) = 10. This involves finding the solution y(t) that satisfies the equation and the given initial condition.

Unfortunately, without further information or an explicit analytical solution, it is not possible to determine the exact number of stores expected to adopt new technologies. Additional data or assumptions about the behavior of the adoption rate would be necessary to make a more accurate estimation.

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Main Answer:The volume of the solid enclosed by the paraboloid and the planes is 18.67 cubic units.

Supporting Question and Answer:

How do we calculate the volume of a solid bounded by surfaces using triple integration?

To calculate the volume of a solid bounded by surfaces using triple integration, we set up a triple integral with the integrand equal to 1, representing the infinitesimal volume element. The bounds of integration are determined by the equations defining the surfaces that enclose the solid. By evaluating the triple integral over the specified region, we can find the volume of the solid.

Body of the Solution: To find the volume of the solid enclosed by the paraboloid z = 2 + x^2 + (y - 2)^2 and the planes z = 1, x = -2, x = 2, y = 0, and y = 3, we can set up a triple integral in the given region.

To find the  volume,using the triple integral:

V = ∫∫∫ R (1) dz dy dx

where R is the region bounded by the given planes and the paraboloid.

The bounds of integration for x are -2 to 2, for y are 0 to 3, and for z are the lower bound function z = 1 and the upper bound function z = 2 + x^2 + (y - 2)^2.

Setting up the triple integral:

V = ∫ from x = -2 to 2 ∫ from y = 0 to 3 ∫ from z = 1 to 2 + x^2 + (y - 2)^2 (1) dz dy dx

Integrating the innermost integral with respect to z:

V = ∫ from x = -2 to 2 ∫ from y = 0 to 3 [(2 + x^2 + (y - 2)^2) - 1] dy dx

Simplifying the expression inside the integral:

V = ∫ from x = -2 to 2 ∫ from y = 0 to 3 [x^2 + (y - 2)^2 + 1] dy dx

Integrating the inner integral with respect to y:

V = ∫ from x = -2 to 2 [x^2(y) + ((y - 2)^3)/3 + y] evaluated from y = 0 to 3 dx

Substituting the limits of integration for y:

V = ∫ from x = -2 to 2 [x^2(3) + (3 - 2)^3/3 + 3 - (x^2(0) + (0 - 2)^3/3 + 0)] dx

Simplifying further:

V = ∫ from x = -2 to 2 [3x^2 +2/3] dx

Integrating the final integral with respect to x:

V = [(x^3) + (2/3)x] evaluated from x = -2 to 2

Evaluating the expression at the limits:

V = [(2^3) +(2/3) 2] - [((-2)^3) + (2/3)(-2)]

V = (8 +4/3) - (-8 - 4/3)

V = 16+8/3

V =56/3

Final Answer:Therefore, the volume of the solid enclosed by the paraboloid and the given planes is 56/3 cubic units.

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The volume of the solid enclosed by the paraboloid and the planes is 18.67 cubic units.

To calculate the volume of a solid bounded by surfaces using triple integration, we set up a triple integral with the integrand equal to 1, representing the infinitesimal volume element. The bounds of integration are determined by the equations defining the surfaces that enclose the solid. By evaluating the triple integral over the specified region, we can find the volume of the solid.

Body of the Solution: To find the volume of the solid enclosed by the paraboloid z = 2 + x^2 + (y - 2)^2 and the planes z = 1, x = -2, x = 2, y = 0, and y = 3, we can set up a triple integral in the given region.

To find the  volume,using the triple integral:

V = ∫∫∫ R (1) dz dy dx

where R is the region bounded by the given planes and the paraboloid.

The bounds of integration for x are -2 to 2, for y are 0 to 3, and for z are the lower bound function z = 1 and the upper bound function z = 2 + x^2 + (y - 2)^2.

Setting up the triple integral:

V = ∫ from x = -2 to 2 ∫ from y = 0 to 3 ∫ from z = 1 to 2 + x^2 + (y - 2)^2 (1) dz dy dx

Integrating the innermost integral with respect to z:

V = ∫ from x = -2 to 2 ∫ from y = 0 to 3 [(2 + x^2 + (y - 2)^2) - 1] dy dx

Simplifying the expression inside the integral:

V = ∫ from x = -2 to 2 ∫ from y = 0 to 3 [x^2 + (y - 2)^2 + 1] dy dx

Integrating the inner integral with respect to y:

V = ∫ from x = -2 to 2 [x^2(y) + ((y - 2)^3)/3 + y] evaluated from y = 0 to 3 dx

Substituting the limits of integration for y:

V = ∫ from x = -2 to 2 [x^2(3) + (3 - 2)^3/3 + 3 - (x^2(0) + (0 - 2)^3/3 + 0)] dx

Simplifying further:

V = ∫ from x = -2 to 2 [3x^2 +2/3] dx

Integrating the final integral with respect to x:

V = [(x^3) + (2/3)x] evaluated from x = -2 to 2

Evaluating the expression at the limits:

V = [(2^3) +(2/3) 2] - [((-2)^3) + (2/3)(-2)]

V = (8 +4/3) - (-8 - 4/3)

V = 16+8/3

V =56/3

Therefore, the volume of the solid enclosed by the paraboloid and the given planes is 56/3 cubic units.

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The range for the given ordered pairs is {6, 7, 9, 11}.

Given the ordered pairs as {(2, 7), (4, 6), (6, 9), (7, 11)}, the range for this ordered pair is:

the term "range" refers to the difference between the largest and smallest values in a set of data.

For example, if a data set consists of the numbers {3, 5, 7, 9}, then the range of the data set is 9 - 3 = 6.

Identify the y-values in each ordered pair:

7, 6, 9, and 11.

Find the smallest and largest y-values:

6 and 11.

List all the unique y-values in ascending order:

{6, 7, 9, 11}.

The range for the given ordered pairs is {6, 7, 9, 11}.

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Answer B

scajgvbcxns djavhgvdscjv

Answer:

x> -200

Step-by-step explanation:

Answer:

39 points.

Step-by-step explanation:

Correct questions: 22*2=44

Blank questions: 7*0=0

Incorrect questions: -1*5=-5

Add all the points up and you get:

44+0-5=

44-5=

39 points

Answer:

85

Step-by-step explanation:

15-(-70)=85

Answer:

|-70 - 15 | = | -85 | = 85 units

1 - Eliminate any answers that are easily distinguished as incorrect

This is always a good habit to have

Absolute value means its always positive;

With this we can conclude the first one and the last one are not our answers

2 - Understanding the distance as a difference in two points.

Because we're figuring out how far -70 is from 15 we are finding the difference between them, not the collective sum. In mathematics difference is subtraction, and as such we're going to want to subtract 15 from -70.

REWRITE:

|-70 - 15 | = | -85 | = 85 units

Answer:

240.1 ft

Step-by-step explanation:

Let the distance between the car and the tower be x ft.

We will solve for tan, which is opposite/adjacent

tan32 = 150/x

x(tan32) = 150

x = 150/tan32

x = 240.1

Answer:

The answer is C.

Step-by-step explanation:

In order to find the solution of the linear equation, you have to find the coordinates where they intersect.

So according to the graph, both lines intersect at the coordinates of ( 0 , 1 ).

(Correct me if I am wrong)

Answer:

Hello! Your answer would be,

Step-by-step explanation:

Write as an inequality: x is at least 30. If ... The method we will use to solve applications with linear inequalities is very ... If he charges ?60 per job, how many jobs must he do to earn a profit of at least ?4,000 a month? ... Find your last month's phone bill and the hourly salary you are paid at your job. ... 30\text{°},60\text{°},90\.

The slope, rise over run, or change in over the change in of a line determines its rate of change. A graph's slope triangle or two points in a table can be used to compute the slope.

How far is it between the two locations?

By calculating the sum of the absolute values of the y-coordinates, you may determine the distance between two places in different quadrants with the same x-coordinates.

What does a line's slope indicate?

A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

Describe slope using an example?

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Answer:

Step-by-step explanation:

7 x 10^-6 You're basically just moving the decimal place over six times until there is a whole number before the decimal.

Answer:  The correct answer is the first number = 9, the second number = 3

Step-by-step explanation:

x = the first number

y = the second number

What we know:

What we need to determine:

Solve using a system of equations:

The first equation (the first number is 3 more than twice the second number):

x = 2y + 3

The second equation (sum of twice the first number and three times the second number is 27):

2x +3y = 27

Substitute the first equation in the second:

2(2y + 3) +3y = 27

Solve for y:

y = 3

Substitute for y and solve for x:

x = 2y + 3

x = 2(3) + 3

x = 6 + 3

x = 9

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Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (QA and QB in the figure above) form a single straight line through the common endpoint Q. When the two rays are opposite, the points A,Q and B are collinear.

The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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Answer:

Step-by-step explanation:

The ratio of white loaves to brown loaves is 6:4

20 loaves per day divide 10 parts(6+4)

20/10=2  One part is 2 loaves

In one day, the baker makes 6x2=12 white loaves and 4x2=8 brown loaves

240 divided by 8 = 30 days.

13. The equation representing the workdays, w, based on the number of crew members, c for this problem situation is:

w = 200 / c

where "c" is the number of crew members and "w" is the number of workdays required to complete a house.

14. A crew of 32 people would take 6.25 days to complete a house.

15. A crew of 16 people completed the house in 12.5 days.

16. It is not reasonable to have a crew of 17.5 people.

13. The equation representing the workdays, w, based on the number of crew members, c for this problem situation is:

w = 200 / c

where "c" is the number of crew members and "w" is the number of workdays required to complete a house.

14. To find how long it would take a crew of 32 to complete a house, we can use the same equation:

w = 200 / c

w = 200 / 32

w = 6.25 days

Thus, a crew of 32 people would take approximately 6.25 days to complete a house.

15. To find how large the crew was if a house was completed in 12.5 days, we can rearrange the equation:

w = 200 / c

c = 200 / w

c = 200 / 12.5

c = 16

Thus, a crew of 16 people completed the house in 12.5 days.

16. It is not reasonable to have a crew of 17.5 people because the number of crew members must be a whole number. Therefore, the crew would need to be either 17 or 18 people.

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A. The units of these decision variables are in quantities (pieces).

B. Maximize Profit = 20x1 + 85x2 + 35x3

The objective function calculates the total revenue by multiplying the unit selling price of each product with its corresponding quantity (decision variable). The goal is to maximize this total profit.

a) Decision Variables:

Let's define the decision variables as follows:

x1: The number of fabric necklaces produced.

x2: The number of bags produced.

x3: The number of scarves produced.

The units of these decision variables are in quantities (pieces).

b) Objective Function:

The objective function represents the goal or objective to be optimized. In this case, the objective is to maximize the total profit generated from the sale of necklaces, bags, and scarves. The objective function can be written as follows:

Maximize Profit = 20x1 + 85x2 + 35x3

The objective function calculates the total revenue by multiplying the unit selling price of each product with its corresponding quantity (decision variable). The goal is to maximize this total profit.

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If the parent function \(\sf y=(1.6)^x\) is translated 5 units up and 9 units to the right, then you should subtract 9 from x and add 5 to the whole function. Thus,

1) translation the parent function \(\sf y=(1.6)^x\) 9 units to the right gives you the function \(\sf y=(1.6)^{x-9}\).

2) translation the function \(\sf y=(1.6)^{x-9}\) 5 units up gives you the function \(\sf y=(1.6)^{x-9}+5\)

Therefore, the correct choice is C

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