MATHEMATICS MIDDLE SCHOOL

Which of the following is an arithmetic sequence?2, 4, 8, 16,...
12, 4, 4/3, 16/3...
1/2, -1/2, -3/2, -5/2 ...
1/2, -1/2, 1/2, -1/2 ...

Answers

Answer 1
Answer:

Answer:

The third sequence.  

Step-by-step explanation:

In an arithmetic sequence, the difference between two consecutive terms is the same.

For each option, find the difference between consecutive terms:

First option:

  • 4 - 2 = 2.
  • 8 - 4 = 4.
  • 16 - 8 = 8.

The differences are not the same. As a result, this option is not an arithmetic sequence.

Second option:

  • 4 - 12 = -8.
  • \displaystyle (4)/(3) - 4 = -(8)/(3).
  • \displaystyle (16)/(3) - (4)/(3) = (12)/(3) = 4.

The differences are not the same. As a result, this option is not an arithmetic sequence, either.

Third option:

  • \displaystyle -(1)/(2) - (1)/(2) = -1.
  • \displaystyle -(3)/(2) - \left(-(1)/(2)\right) = -(3)/(2) + (1)/(2) = -1.
  • \displaystyle -(5)/(2) - \left(-(3)/(2)\right) = -(5)/(2) + (3)/(2) = -1.

The differences are all -1. As a result, this option is indeed an arithmetic sequence. Its common difference is (-1).

Fourth option:

  • \displaystyle -(1)/(2) - (1)/(2) = -1.
  • \displaystyle (1)/(2) - \left(-(1)/(2)\right) = (1)/(2) + (1)/(2) = 1.
  • \displaystyle -(1)/(2)\right - (1)/(2) = -1.

The differences are varying between 1 and -1. As a result, this option is not an arithmetic sequence.
Answer 2
Answer:

Answer: Number 3. (1/2, -1/2, -3/2, -5/2 ...)

Step-by-step explanation:

1/2 - 1 = -1/2. -1/2 - 1 = -3/2. Etc.

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Ken grew 4/5 of an inch last year. Saying grew 3/8 of an inch. Who grew more and that by how much?
The sum of 4 multiplied by a and 5 multiplied by b Write in algebraic expression
36 is 0.9 of what number?

Find the product
-2x(x^2-3)​

Answers

Answer:

-2x^3+6x

Step-by-step explanation:

-2x(x^2)   +    -2x(-3)

-2x^3              6x

Answer:

=−2x^3+6x

Step-by-step explanation:

=(−2x)(x^2+−3)

=(−2x)(x^2)+(−2x)(−3)

PLEASE PLEASE HELP Write a fact family for 2, −5, and −10.

Answers

Answer and explanation:

To find : Write a fact family for 2, −5, and −10 ?

Solution :

A fact family is a group of math facts using the same numbers.

In the case of multiplication and division, we bring number together to get the product or divisor.

For 2, −5, and −10

The fact family are,

2* -5=-10

(-10)/(-5)=2

(-10)/(2)=-5

Which of the following expressions are equivalent to -3.5(2 - 3n) - 2.5n? Select all that apply.
A. -7 - 8n
B. -7 8n
C. -7 - 13n
D. -7 - n(10.5 - 2.5)
E. -7 n(10.5 - 2.5)

Answers

The answer is B i think. i think you forgot the plus sign on B.

In a box plot, the wider the box the more_________ it has

Answers

Learning Objectives Define basic terms including hinges, H-spread, step, adjacent value, outside value, and far out valueCreate a box plotCreate parallel box plotsDetermine whether a box plot is appropriate for a given data set

We have already discussed techniques for visually representing data (see histograms and frequency polygons). In this section, we present another important graph called a box plot. Box plots are useful for identifying outliers and for comparing distributions. We will explain box plots with the help of data from an in-class experiment. As part of the "Stroop Interference Case Study," students in introductory statistics were presented with a page containing 30 colored rectangles. Their task was to name the colors as quickly as possible. Their times (in seconds) were recorded. We'll compare the scores for the 16 men and 31 women who participated in the experiment by making separate box plots for each gender. Such a display is said to involve parallel box plots.

There are several steps in constructing a box plot. The first relies on the 25th, 50th, and 75th percentiles in the distribution of scores. Figure 1 shows how these three statistics are used. For each gender, we draw a box extending from the 25th percentile to the 75th percentile. The 50th percentile is drawn inside the box. Therefore,

the bottom of each box is the 25th percentile,

the top is the 75th percentile,

and the line in the middle is the 50th percentile.

The data for the women in our sample are shown in Table 1.

Answer:variability

Step-by-step explanation:

Carlo changed 800 euros into dollars for his holiday when the exchange rate was €1=$1.50. his holiday was cancelled he changed all his dollar back into euros and he received €750. find the new exchange rate​

Answers

Answer:

€800 = $1200

New exchange rate =

750/1200 = 1.6

Which exponential function goes through the points (1,8) and (4,64)?A) f(x)=4(2)^x

B) f(x)=2(4)^x

C) f(x)=4(2)^-x

D) f(x)=2(4)-x

Answers

Plug in (4,64) into each answer choice.

A) 4(2)^x
64 =4(2)^4 
64 = 4(16) 
64 = 64

Answer choice A is correct.

B) f(x) = 2(4)^x
64 = 2(4)^4
64 = 2(256)
64 ≠ 512

Answer choice B is incorrect.

C) f(x) = 4(2)^{-x}
64 = 4(2)^{-4}
64 = 4(-0.0625)
64 ≠ 0.25

Answer choice C is incorrect.

D) f(x) = 2(4)^{-x}
64 = 2(4)^{-4}
64 = 2(0.00390625)
64 ≠ 0.0078125

Answer choice D is incorrect.


Your answer is B) f(x)=2(4)^x
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