An arithmetic sequence has a 2nd term of -2 and a 7th term of 18.
1. What is the 10th term in the sequence? 2. Write an explicit formula for the sequence.
3. Write a recursive formula for the sequence.
4. What is the sum of the first 10 terms?​

Hence, the deal of  $[tex]479[/tex] is best unit price per blender.

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

Oliver is buying equipment for his restaurant. He can buy two blenders for $[tex]396[/tex] or three blenders for $[tex]479[/tex].

So,

Oliver buying two blenders at  $[tex]396[/tex] so the cost of one blender is

i.e., [tex]\frac{396}{2}=198[/tex]$

Oliver buying two blenders at  $[tex]479[/tex]  so the cost of three blenders is

i.e., [tex]\frac{479}{3}=159[/tex]$

Hence, the deal of  $[tex]479[/tex] is best unit price per blender.

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Answer:

Below

Step-by-step explanation:

acceleration =  Δv /  Δt =  - 5/6   m/s^2  

                     ( negative sign shows it to be a deceleration)

F = ma

 =  30 ( -5/6)  = -25 N      or 25 N in the direction opposite of the velocity ( like a frictional force)

The intercountry differences in participation rates in organ-donation programs is due to STATUS QUO BIAS.

Status quo bias can be defined as the emotional prejudice to the way things are and any change is considered a loss.

This status quo bias phenomenon often affect decision making in an individual. In some countries, organ donation is widely accepted by the people while it is not accepted in some other countries. The only reason for this is because of just the way things are done usually in those countries.

Another example of status quo bias will be saving money towards retirement. Everyone sees this as a The intercountry differences in participation rates in organ-donation programs is due to STATUS QUO BIAS.

Status quo bias can be defined as the emotional prejudice to the way things are and any change is considered a loss.

This status quo bias phenomenon often affect decision making in an individual. In some countries, organ donation is widely accepted by the people while it is not accepted in some other countries. The only reason for this is because of just the way things are done usually in those countries.

Another example of status quo bias will be saving money towards retirement. Everyone sees this as a norm.

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To determine whether the mean weight of two distinct turtle species is equal. It would take too much time and money to weigh each turtle because there are thousands of them in each group.

A two-sample t-test is used to determine whether or not genuine population means are equal.

The accompanying null hypothesis is usually used in a two-sample t-test:

[tex]H_0[/tex]: The two population averages are equivalent when 1 = 2.

The alternative hypothesis might have two tails, a left or right tail, or none at all:

Two-tailed [tex]H_1[/tex]: μ1 ≠ μ2 Neither of the two population means is equal.

(Left-tailed) [tex]H_1[/tex]: Population 1 mean is lower than population 2 mean by a factor of 1.

[tex]H_1[/tex] (right-tailed): Populations 1 and 2 have mean values that are higher than each other.

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180-(45+15) = 120

4x+120=180

4x=60

x=15

Statisticians want to know if the hypothesized mean of the differences is less than zero for paired data. So, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd<0.Option(b)

A null hypothesis proposes that certain characteristics of a population or development process are the same regardless of whether they differ or not. There is a difference, according to the alternative hypothesis. A null hypothesis can be rejected with a certain degree of confidence through hypothesis testing.

The alternative hypothesis can be supported if the null hypothesis is rejected. A null hypothesis test is a basis for science's falsification principle.

A statistician believes that the percent population growth rate of major cities has decreased compared to last decade. To test his claim, he randomly selects major cities and compares the percent population growth between the years 2007 and 2017 to the percent population growth between the years 1997 and 2007. Let d=percent growth rate from 2007 to 2017−percent growth rate from 1997 to 2007. Identify the correct null and alternative hypothesis for a hypothesis test.

H0:μd≠0

Ha:μd=0

H0:μd=0

Ha:μd<0

H0:μd=0

Ha:μd>0

H0:μd=0

Ha:μd≠0

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The depth of the water when the wave speed is 200 meters per second is 4081.63m

Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement.

Given,

In a tsunami, the wave speeds (in meters per second) can be modeled by s(d)=√9.8d,

Where d is the depth

We need to find the depth when speed is 200 meters per second

s(d)=√9.8d,

200=√9.8d,

Square on both sides

40000=9.8d

Now divide both sides by 9.8

d=4081.63m

Hence, the depth of the water when the wave speed is 200 meters per second is 4081.63m

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The unknown value that has the solution as c = 4 of the given algebraic equation is; 2

The given algebraic expression for which we want to input a value and solve is given as; 5(2c − ?) =2(c + 11)

Now, we want to find the unknown value that has the solution as c = 4. Thus, we will plug in 4 for c into the given equation to get;

5(2(4) − ?) =2((4) + 11)

5(8 − ?) = 30

divide both sides by 5 to get;

(8 − ?) = 6

Add -6 + ? to both sides to get;

8 − ?  - 6 + ? = 6 - 6 + ?

? = 2

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Complete question is;

Complete the equation so that it has the solution c = 4.

5(2c − ?) =2(c+11)

The triangle is an Equilateral triangle.

What is an equilateral triangle?

In geometry, an equilateral triangle is a triangle in which all three sides are equal. In an equilateral triangle, all three angles are 60 degrees.

Angle bisector means a bisector which divides an angle into two equal parts. A perpendicular bisector is a line which makes 90 degrees with the base and divides it into two equal parts.

In the case of an equilateral triangle, the angle bisector of each angle of a triangle and the perpendicular bisector of the opposite side is the same.

Hence the answer is an equilateral triangle.

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Answer:

A. Linear

B. Non-linear

C. Linear

Step-by-step explanation:

A linear line has a consistent slope either going down (negative) or going up (positive.)

A. The x values are increasing by a constant rate of 1, and the y values are decreasing at a constant rate of 1. Therefore it is a linear relation.

B. The x values are increasing by a constant rate of 1, but the y-value repeats itself twice in the second and third column. Therefore it does not have a consistent slope and is not a linear relation.

C. The x values are increasing by a constant rate of 1, and the y- values increase by a constant rate of 2 except in column 4 making it a non-linear relation.

Using the distributive property, the greatest common factor of  75+20 is 5(15+4).

The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true.

For instance, in basic mathematics, one has to According to one, addition is distributed more evenly than multiplication.

So, the largest number that will split two values is the greatest common factor. Two values are available: 75 and 20.

Each has a set of numbers that when added together equal the total.

We must identify the most important quality or area where they most agree.

Each possesses the following elements:

75: 1,3,5,15,25, 75

20: 1, 2, 4, 5, 10, 20

Each has 5, making this the GCF.

As a result, we write the expression as 5(_+_).

We calculate the matching factor by multiplying each term by 5.

75/5= 15

20/5=4

5(15+4)

Therefore, using the distributive property, the greatest common factor of  75+20 is 5(15+4).

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Correct question:

Apply the distributive property to factor out the greatest common factor.

75 + 20 =

The results most probably be invalid because the subjects were voluntary sample.

What is sample in statistics?

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Answer:x=-5

Step-by-step explanation:

The function that represents the cost of David's bike rental plan, B(t) is C. B(t) = 0.6t + 5

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

From the information, David pays a flat rate of $5 and and extra $0.6 per day to rent his bike. The cost of David's bike rental plan, B(t). Let the extra day be illustrated by t.

This will be:

B(t) = 5 + (0.6 × t)

B(t) = 5 + 0.6t

The correct option is C.

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Complete question

David pays a flat rate of $5 and and extra $0.6 per day to rent his bike. The cost of David's bike rental plan, B(t), can be represented by which of the following functions?

A. B(t) = 5(0,6)^t

B. B(t) = 5(1 + 0.6)^t

C. B(t) = 0.6t + 5

D. B(t) = -0.6t + 5

Answer:

Below

Step-by-step explanation:

Expand the parentheses to get

1/5 b   - 2a + 1/2 b     + 4a          gather like terms to get

2a  + 7/10  b

Answer:

domain {-9,-8,3}, range{0,7}

Step-by-step explanation:

domain is the set of all x values

range is the set of all y values

The table is completed below

Distance (cm)      weight (newtons)

20                         28

55                         77

100                        140

1                             1.4

The maximum data in the y axis is 140

The maximum data in the x axis is 100

The blank is filled by finding proportional relationship, this is calcualted by

let the constant of proportionality be k

20k = 28

k = 20/28

k = 1.4

55k = 55 * 1.4 = 77

? * k = 140

? = 140/k = 140/1.4 = 100

1 * k = 1 * 1.4 = 1.4

How high each value can go is the highest value in each axis and the is 100 for x axis and 140 for y axis

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Apple pies are $5 and pumpkin pies are $15

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

5a+12p=205............(1)

2a+1p=25.................(2)

Now, Multiply (2) by -12 to get

-24a-12p=-300

and, 5a+12p=205

-24a-12p=-300

Adding above Equations together

-19a=-95

a= 5

and, 2(5)+p=25

10+p=25

p=15

Hence, Apple pies are $5 and pumpkin pies are $15

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Answer: $4/sandwich

Answer:

x=1, y=-3

Step-by-step explanation:

We first see there is a 3y in both equations. We can completely eliminate the y term by subtracting the equations.[tex](4x+3y=-5)-(-x+3y=-10)[/tex]. This gives us (4x--x)=(-5--10), which is 5x = 5. So, x = 1.

Now we can plug this value in to solve for y. Let's plug it in to [tex]-x+3y=-10[/tex]. We get [tex]-1 + 3y=-10[/tex], so 3y = -9 and y = -3. Hope this helps!

The average of the new list of 4 numbers is 94.

If the average of the original list of 4 numbers is 90, then the sum of these 4 numbers is:

4 x 90 = 360

If the 4th number in the original list is 80, then the sum of the first 3 numbers in the original list is:

360 - 80 = 280

If the first 3 numbers in the new list are the same as in the original list then the sum of these new first 3 numbers is also:

280

If the 4th number in the new list is 96 then the sum of the 4 numbers in the new list is:

280 + 96 = 376

Therefore, the average of the new list of 4 numbers is:

376 / 4 = 94

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Answer:

• Area of parallelogram = 270 in.²

• Area of square = 225 in.²

• Area of composite figure = 495 in.²

Step-by-step explanation:

We are given a composite figure made up of a parallelogram and a square and told to find its area.

To do this, we are told first to find the area of the parallelogram. The formula for the area of a parallelogram is:

[tex]\boxed{\mathrm{Area \ of \ parallelogram = base \times height}}[/tex].

From the figure, we can see that, for the parallelogram, height = 18 in. and base = 15 in. (since opposite sides of a parallelogram are equal).

Using this information, we can calculate the area of the parallelogram:
Area = base × height

        = 15 in. × 18 in.

        = 270 in.²

Next, we have to find the area of the square using the formula:

[tex]\boxed{\mathrm{Area \ of \ square = side \times side}}[/tex].

From the figure, we can see that the length of a side of the square is 15 in.

Therefore, using the formula above, we can calculate the area of the square:

Area = side × side

        = 15 in. × 15 in.

        = 225 in.²

Now that we know the respective areas of the two shapes that make up the composite shape, we simply have to add the areas together:

Area of composite figure = 270 in² + 225 in²

                                          = 495 in.²

Answer:

Answer is 4.

x = 4

Step-by-step explanation:

1. Simplified Solution: [tex]a^9[/tex]

2. Simplified Solution: [tex]x^1^0[/tex]

3. Simplified Solution: [tex]1024a^1^0b^1^5[/tex]

4. Simplified Solution: [tex]x^2[/tex]

5. Simplified Solution: [tex]\frac{1}{x^3}[/tex]

6. Simplified Solution: [tex]1[/tex]

7. Simplified Solution: [tex]\frac{4a^6}{b^8}[/tex]

8. Simplified Solution: [tex]32768x^1^0[/tex]

9. Simplified Solution: [tex]\frac{1}{x^1^2y^2^1}[/tex]

10. Simplified Solution: [tex]x^1^4y^1^1[/tex]

11. Simplified Solution: [tex]-\frac{3}{x^4}[/tex]

12. Simplified Solution: [tex]\frac{xy^1^1}{4}[/tex]

13. Simplified Solution: [tex]x^7[/tex]

14. Simplified Solution: [tex]xy^2[/tex]

15. Simplified Solution: [tex]1[/tex]

16. Simplified Solution: [tex]\frac{1}{1000x^1^5y^9}[/tex]

17. Simplified Solution: [tex]\frac{y^3}{x^2}[/tex]

18. Simplified Solution: [tex]\frac{1}{16x^4y^1^0}[/tex]

19. Simplified Solution: [tex]\frac{xy^2}{3}[/tex]

20. Simplified Solution: [tex]-\frac{y^1^2}{9x^4}[/tex]

21.Simplified Solution: [tex]3x^2y^2[/tex]

____________________________________________________

Hope this helps! And good luck! :D

The total standard time required to processed for one hundred units as per given setup and run time is equal to 1120minutes.

As given in the question,

Number of units to be processed = One hundred units

Conversion used:

1 hour = 60 minutes

Time required for setup = 2 hours

                                        = 2 ( 60) minutes)

                                        = 120 minutes

Run time per piece = 10 minutes

⇒ Run time required for 100 units = 100 × 10

                                                        = 1000 minutes

Total standard time for 100 units is equal to

= Run time for 100 units + set time

= 1000 + 120

= 1120 minutes

Therefore, the total standard time required to processed 100 units is equal to 1120 minutes.

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the Total deposit will be $935.2.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

Luna Brennan's is depositing $320 in currency, currency, $1.55 In coins, a check for $213.40, and a check for $400.25.

So Total deposite will be $320+$1.55+ $213.40+$400.25 = $935.2

Hence the Total deposit will be $935.2

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a) The probability of both balls drawn from the bag be red is 6/55

b) The probability of one ball red and other ball black is 4/11

Given,

Number of white balls in the bag = 2

Number of red balls in the bag = 4

Number of black balls in the bag = 5

Two balls are drawn from the bag.

Here,

a) Find the probability of both balls be red.

(²C₀ x ⁴C₂ x ⁵C₀) / ¹¹C₂

= (1 x 6 x 1)/ 55

= 6/55

That is,

The probability of both balls be red is 6/55

b) Find the probability of one ball red and other ball black

(²C₀ x ⁴C₁ x ⁵C₁) / ¹¹C₂

= (1 x 4 x 5) / 55

= 20/55

= 4/11

That is,

The probability of one ball red and other ball  black is 4/11

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Answer

Step-by-step explanation:

The one which uses Sir Ronald Fisher's F-distribution for the test statistic is to compare several population means simultaneously.

The F-distribution was developed by Sir Ronald Fisher to study the behavior of two variances from random samples taken from two independent normal populations. The F-distribution allows us to use a F statistic to compare two populations.

The F-distribution is also known as a right-skewed distribution used commonly in another statistical test called an Analysis of Variance (ANOVA). For ANOVA tests we can use the F-distribution to check whether the variance among the means of two populations significantly differ. The F-distribution can also be used in regression analysis to compare the fit of different models.

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The phrase "given that they completed the homework" indicates that we're only looking at the students who completed the homework.  We're ignoring those students who didn't complete the homework.

Of the 19 students who completed the homework, 16 of those passed the test.

This gives us the fraction 16/19 which is about 0.842105263157895 or about 84.2%.

That's your probability that a student passed the test given that they completed the homework.