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gregori [183]
3 years ago
12

find the 16th term of the arithmetic sequence whose common difference is d=8 and whose first term is a↓1=3​

Mathematics
1 answer:
Softa [21]3 years ago
7 0

Answer:

123

Step-by-step explanation:

3 + (16 - 1)8

3 + (15)8

3 + 120

123

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Is 12.91 a rational number
Musya8 [376]

Answer:

rational

Step-by-step explanation:

5 0
3 years ago
The figure below is made up of two rectangles.
Dmitry [639]

Answer:

Total area of figure = [3x² + 7x + 6] feet²

Step-by-step explanation:

By dividing both rectangle by vertical line;

Given:

Length of big rectangle = (x + 3) feet

Width of big rectangle = (x + 2) feet

Length of small rectangle = 2x feet

Width of small rectangle = (x + 1) feet

Find:

Total area of figure

Computation:

Area of rectangle = Length x width

Total area of figure = Area of big rectangle + Area of small rectangle

Total area of figure = [(x + 3)(x + 2)] + [(2x)(x + 1)]

Total area of figure = [x²+ 2x + 3x + 6] + [2x² + 2x]

Total area of figure = [3x² + 7x + 6] feet²

7 0
3 years ago
Determine whether the following possible responses should be classified as nominal, ordinal, interval or ratio scale. Would your
anygoal [31]

Answer:

Nominal, Ordinal, interval or Ratio scale, Nominal.

Step-by-step explanation:

In Statistics, we can assort qualitative variables as nominal, for non-numerical values (Good, Yes, Man, Woman, Excellent, Tall, etc.). For numerical ones, we can rank them orderly, id est, ordinal (1st, 2nd, 3rd, 4th, etc.). Moreover, we can also categorize some numerical variables as an interval or ratio scale (90º F, 6' 2'' etc.).

Examining each one:

1. Would your overall rating of this tour be excellent, good, fair, or poor? <u>Nominal. </u>

These are not numerical. These are qualitative classification.

2. How many escorted vacations have you taken prior to this one?

<u>Ordinal</u>. The 1st, 2nd, 3rd, etc.

3. What is the current temperature outside? <u>Interval or Ratio Scale</u>

This is a classic Interval classification example. Since the temperature is graded in intervals then this an Interval.

4. Do you feel that the stay in New York was sufficiently long? Nominal.

Another non-numerical classification

3 0
3 years ago
What is the form of the Difference of Cubes identity?
scoray [572]

Solution:

The difference of cubes identity is

if a and b are any two real numbers, then difference of their cubes , when taken individually:

→a³ - b³= (a-b)(a² + a b + b²)→→→Option (D) is true option.

I will show you , how this identity is valid.

Taking R H S

(a-b)(a² +b²+ab)

= a (a² +b²+ab)-b(a² +b²+ab)

= a³ + a b² +a²b -b a² -b³ -ab²

Cancelling  like terms , we get

= a³ - b³

= L H S



4 0
3 years ago
Read 2 more answers
The table shows the numbers y of students absent from school x days after a flu outbreak.
allsm [11]
  1. A function that models the data is given by this quadratic equation, y = -0.4908x² + 5.8845x + 1.3572.
  2. The number of students that are absent 10 days after the outbreak is equal to 11 students.

<h3>What is a scatter plot?</h3>

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.

<h3>What is a quadratic function?</h3>

A quadratic function can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the quadratic function is given by:

y = -0.4908x² + 5.8845x + 1.3572

For the number of students that are absent 10 days after the outbreak, we have:

y = -0.4908(10)² + 5.8845(10) + 1.3572

y = -0.4908(100) + 58.845 + 1.3572

y = -49.08 + 58.845 + 1.3572

Number of students, y = 11.12 ≈ 11 students.

Read more on scatterplot here: brainly.com/question/6592115

#SPJ1

5 0
1 year ago
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