Which statement is true?
1: The slope of Function A is greater than the slope of function B.
2: The slope of Function A is less than the slope of Function B. ​

Answer:

3, 2, 7, 14, 23.

To find the nth term of a sequence, we need to identify the pattern or rule that generates the sequence.

Looking at the given sequence 3, 10, 29, 66, 127, we can see that each term is obtained by squaring the previous term and subtracting a constant value.

Specifically, we can see that:

10 = 3^2 + 1

29 = 10^2 + 9

66 = 29^2 + 7

127 = 66^2 + 1

So the pattern seems to be that each term is obtained by squaring the previous term and adding a constant value that increases by 2 for each successive term.

To find the nth term, we can use the formula:

nth term = (n-1)^2 + c

where n is the position of the term we want to find, and c is the constant value we add to the square of the previous term.

Using this formula, we can find the nth term as follows:

For the 1st term (n=1), we have 3 as the first term.

For the 2nd term (n=2), we have:

nth term = (n-1)^2 + c

= (2-1)^2 + 1

= 1 + 1

= 2

For the 3rd term (n=3), we have:

nth term = (n-1)^2 + c

= (3-1)^2 + 3

= 4 + 3

= 7

For the 4th term (n=4), we have:

nth term = (n-1)^2 + c

= (4-1)^2 + 5

= 9 + 5

= 14

For the 5th term (n=5), we have:

nth term = (n-1)^2 + c

= (5-1)^2 + 7

= 16 + 7

= 23

Therefore, the nth term for the given sequence is:

3, 2, 7, 14, 23.

hope this helps!

Answer:

Therefore, the 6th term of the sequence is 108.

Step-by-step explanation:

To find the pattern and the nth term for the sequence 3, 10, 29, 66, 127, we can look at the differences between the terms:

7, 19, 37, 61

The second differences are constant, which suggests that the original sequence is a polynomial of degree 2 (a quadratic). To find the formula for this quadratic, we can use the method of finite differences.

The first differences are:

7, 19, 37, 61

The second differences are:

12, 18, 24

The third differences are:

6, 6

Since the third differences are constant, we can assume that the formula for the sequence is of the form an^3 + bn^2 + cn + d, where a, b, c, and d are constants.

Using the first four terms of the sequence, we can set up a system of equations:

a(1)^3 + b(1)^2 + c(1) + d = 3

a(2)^3 + b(2)^2 + c(2) + d = 10

a(3)^3 + b(3)^2 + c(3) + d = 29

a(4)^3 + b(4)^2 + c(4) + d = 66

Solving this system of equations, we get:

a = 1/2

b = 3/2

c = 5/2

d = 1

Therefore, the formula for the nth term of the sequence is:

an^3 + bn^2 + cn + d = (1/2)n^3 + (3/2)n^2 + (5/2)n + 1

So, the nth term for the sequence 3, 10, 29, 66, 127 is:

an^3 + bn^2 + cn + d = (1/2)n^3 + (3/2)n^2 + (5/2)n + 1

To find the 6th term of the sequence, we can substitute n=6 in the formula:

a6 = (1/2)(6)^3 + (3/2)(6)^2 + (5/2)(6) + 1

= 108

Therefore, the 6th term of the sequence is 108.

Answer-

Janelle is 106 ft above sea level while on the boat.  the altimeter would read +106 ft.

Step-by-step explanation:

If you are multiplying a fraction and a whole number just make the whole number a fraction by using the whole number as the numerator and a 1 as the denominator.

Answer:

Step-by-step explanation:

5x + y = 7

Put x = 0 ;  

        0 + y = 7

             y = 7

Blue point should be at (0 , 7)

Put y = 0 ,

5x = 7

x = 7/5

x = 1.4

Red point should be at   (1.4 , 0)    

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Use PEDMASL

Parthesis

Expoents

Division/Multiplication

Addition/Subtraction

Answer:

I think it would be C.

(You can use PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) to know what to do first)

Step-by-step explanation:

In PEMDAS,The P stands for Parentheses, so, in the equation (-4)²+ 6 ÷ (- 3 + 4) (2) - 5, you would do -3+4 because it is in the parentheses.

Hope this Helps!

Answer:

Step-by-step explanation:

Area of a square = length²

If the area of a square is given, in order to determine the length, find the square root of the area.

√16 / 36 = 4/6 foot

Answer:

17² ft

Step-by-step explanation:

split it into two shapes.

then multiply each shape then add both shapes together

( make sure you subtract the bigger number like 5 from 3)

Part A: To calculate the measures of center, we can find the median and the mean for each school.

For Bay Side School, the median class size is the average of the 8th and 9th values when the data is sorted in ascending order. The 8th and 9th values are both 25, so the median class size is 25.

To find the mean class size for Bay Side School, we can add up all the class sizes and divide by the total number of classes. The sum of the class sizes is 12 + 12 + 12 + 14 + 15 + 15 + 16 + 16 + 18 + 18 + 20 + 20 + 23 + 25 + 25 = 243. There are 15 classes, so the mean class size is 243/15 ≈ 16.2.

For Seaside School, the median class size is the average of the 8th and 9th values when the data is sorted in ascending order. The 8th and 9th values are both 15, so the median class size is 15.

To find the mean class size for Seaside School, we can add up all the class sizes and divide by the total number of classes. The sum of the class sizes is 10 + 10 + 10 + 11 + 12 + 15 + 15 + 16 + 17 + 17Part A (continued):

18 + 18 + 20 + 20 + 25 = 222. There are 14 classes, so the mean class size is 222/14 ≈ 15.9.

Therefore, the measures of center for Bay Side School are: median = 25, mean ≈ 16.2.

The measures of center for Seaside School are: median = 15, mean ≈ 15.9.

Part B: To calculate the measures of variability, we can find the range and the interquartile range (IQR) for each school.

For Bay Side School, the range is the difference between the largest and smallest class sizes. The largest class size is 25, and the smallest class size is 12, so the range is 25 - 12 = 13.

To find the IQR for Bay Side School, we need to find the first quartile (Q1) and the third quartile (Q3) of the data. From the stem-and-leaf plot, we can see that Q1 is 15 and Q3 is 20. Therefore, the IQR is 20 - 15 = 5.

For Seaside School, the range is the difference between the largest and smallest class sizes. The largest class size is 25, and the smallest class size is 10, so the range is 25 - 10 = 15.

To find the IQRPart B (continued): for Seaside School, we need to find the first quartile (Q1) and the third quartile (Q3) of the data. From the stem-and-leaf plot, we can see that Q1 is 12 and Q3 is 18. Therefore, the IQR is 18 - 12 = 6.

Therefore, the measures of variability for Bay Side School are: range = 13, IQR = 5.

The measures of variability for Seaside School are: range = 15, IQR = 6.

Part C: If you are interested in a smaller class size, Seaside School is a better choice because its measures of center are lower than those of Bay Side School, indicating that its class sizes tend to be smaller on average. Additionally, Seaside School has a smaller range and IQR, indicating less variability in class size. Therefore, there is less chance of encountering very large classes at Seaside School compared to Bay Side School.

Answer:

d. 148.5 and c. 2176

Step-by-step explanation:

3×4.5=13.5

13.5×11=148.5 ft sq

1/2b×w×h

16÷2=8

8x16=128

128×17=2176

Answer:

(1, -10)

Step-by-step explanation:

To find out if something is in the same quadrant, you just need to match the signs of x and y.

(2, -4)

X is positive, y is negative.

(1, -10)

X is positive, y is negative.

Therefore, they are in the same quadrant.

To solve this equation, we can first simplify the left-hand side:

2^(3n+1) / (2^n - 1) = 3n + 16

We can then multiply both sides by 2^n - 1 to eliminate the denominator:

2^(3n+1) = (3n + 16)(2^n - 1)

Expanding the right-hand side:

2^(3n+1) = 6n*2^n + 16*2^n - 3n - 16

Simplifying:

2^(3n+1) = (6n - 3n)*2^n + (16 - 16)

2^(3n+1) = 3n*2^n

Dividing both sides by 2^n:

2^(n+1) = 3n

Taking the logarithm of both sides (with any base), we get:

n log(2) + log(2) = log(3n)

n = (log(3n) - log(2)) / log(2)

We can use a calculator to evaluate this expression, or simplify it further using logarithm rules:

n = log2(3n/2)

We can now use iterative methods or a graphing calculator to find a numerical solution for n. The solution is approximately 7.524.

Answer:

Step-by-step explanation:

a. 7 19 4

b. 26

c.30

Answer:

a.

7

19

4

b. 19+7= 26

26 customers

c. 30 customers

Answer:

b

Step-by-step explanation:

so hope it help,have a nice day!

The surface area of the top open cylinder is 6810.149 sq.cm.

A cylinder is a three-dimensional solid that consists of two congruent surfaces (bases) and one lateral surface.

Surface area of a cylinder = Base area + Lateral area

Base area of a cylinder = 2 × π × r²

Lateral area of a cylinder = (2 × π × r) × h

Therefore, here base area of a cylinder = 2× π × 12²

                                                                  = 5837.27 sq.cm.

And, lateral area of a cylinder = (2 × π × 12) × 2

                                                  = 972.8784 sq.cm.

Therefore, total surface area of a cylinder = 5837.27 + 972.8784

                                                                      = 6810.149 sq.cm.

To know more about surface area:

https://brainly.com/question/951562

Answer:

0.4% = 0.40 or 0.4

Answer:

5)

22. x = 10

23. k = 75

24. y = -24

Solve:

19. w = -2

20. x = -10

21. a = -10

22. n = -48

Step-by-step explanation:

Too many questions for explanation sorry.

Hope this helps! Have a nice day!

Answer:

22. 3x/3=30/3 x=10

23. K-25=50

+25

K=75

24. Y+16=-8

-16

Y=-24

19. W-4=-6

+4

W=-2

20. X+5= -5

-5

X=-10

21. -6a/-6=60/-6

A= -10

22. (-4/1)h/-4=12(-4/1)

H=12x -4

H= -48

Step-by-step explanation:

Answer:

1. C

2.B

IG

Step-by-step explanation: CALCULATE

Answer:

the answer would be a is correct

Answer: The correct answer is:

Probability of rolling a number less than 3: 2/6 or 1/3

Step-by-step explanation:

Explanation: Out of the six possible outcomes (numbers 1, 2, 3, 4, 5, 6), there are two outcomes that meet the condition of rolling a number less than 3, which are 1 and 2. Therefore, the probability of rolling a number less than 3 is 2 out of 6, which simplifies to 1/3.

Probability of not rolling a number less than 3: 4/6 or 2/3.

Explanation: To find the probability of not rolling a number less than 3, we consider the outcomes that are not favorable (i.e., rolling a 3, 4, 5, or 6). There are four such outcomes, so the probability of not rolling a number less than 3 is 4 out of 6, which simplifies to 2/3. :D

Answer: the yellow side is factors of only 24 the green one is factors they share and the blue one is factors of only 40 you can find the GCF by finding the largest number in the green area it is 8

Step-by-step explanation:

Answer:

x = 36% have a great day

Step-by-step explanation:

a) The step where Mardie first made an error is given as follows: Step 1, as the negative sign means that the sign of each term inside the parenthesis should be changed.

b) The correct expression is given as follows: -8.6b + 28.

The expression in the context of this problem is defined as follows:

(-3.78b + 12) - (4.82b - 16).

The negative sign before the parenthesis means that the sign of each term inside the parenthesis is changed, hence:

-3.78b + 12 - 4.82b + 16.

This is the step where Maddie made the first error.

Then, to simplify the expression, we combine the like terms, as follows:

b(-3.78 - 4.82) + 12 + 16 = -8.6b + 28.

More can be learned about simplification of expressions at https://brainly.com/question/723406

#SPJ1

Answer:

Mode=32

Mean=32

Median=32

Step-by-step explanation:

Mode=highest frequency

Mode=10

Mean=£fx

£f

Mean=1280

40

=32

Median=n/2

=40/2

=20

median=32

Answer:

Step-by-step explanation:

Slope

\(m=\frac{y2-y1}{x2-x1} \\\\m= \frac{3/2-(-3/2)}{3/2-(-3/2)}\\\\m=\frac{3/2+3/2}{3/2+3/2}\\ \\m=\frac{3}{3}\\ \\m=1\)

slope: m=1

y=mx+b

y=1x+0

Answer:

3ab ( 5a^2 + b^3 )

Step-by-step explanation:

15a^3b + 3ab^4

15a^3b = 3ab x 5a^2

3ab^4 = 3ab x b^3

15a^3b + 3ab^4 = 3ab ( 5a^2 + b^3 )