1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anvisha [2.4K]
2 years ago
7

the values in the table represent a linear function. what is the common difference of the arithmetic sequence x: 1 2 3 4 5 y: 11

25 39 53 67
Mathematics
2 answers:
Andreyy892 years ago
5 0

Answer:

The common difference of the arithmetic sequence is 14.

Step-by-step explanation:

The arithmetic sequence is defined as

x:   1     2    3    4    5

y:  11   25  39  53   67

The common difference of the arithmetic sequence is

d=\frac{y_2-y_1}{x_2-x_1}

Consider any two points, i.e.,(1,11) and (2,25).

d=\frac{25-11}{2-1}

d=\frac{14}{1}

d=14

Therefore the common difference of the arithmetic sequence is 14.

GenaCL600 [577]2 years ago
3 0

Answer:

common difference: 14

Step-by-step explanation: You have to find out what number it takes to add to the number to get the following number. ex 11+14=25      25+14=39 etc


You might be interested in
20% of the girls in class have blonde hair. 16 girls do not have blonde hair. How many total students
yawa3891 [41]
The problem is to find how many students have either blond hair or glasses and then divide that by the total number of students; that will find the probability.
Since 7 have blonde hair and 9 have glasses, that would be a total of 16 persons if there were no overlap; that is, no blonde wears glasses and nobody who wears glasses is a blonde.
But there are 4 persons who have both blond hair and wears glasses. That means, of the 7 who are blondes, 3 of them do not wear glasses. And, of the 9 who wear glasses, 5 of them are not blondes.
So we have 3 who are blondes without glasses, 5 who wear glasses who are not blondes, and 4 blonds with glasses, for a total of 12 persons.
The probability is, therefore, 12/26 or 6/13.
5 0
3 years ago
14896 divided by 5280
Maksim231197 [3]
It goes in evenly 2 times
6 0
3 years ago
Read 2 more answers
What is the mean wages
Julli [10]

Answer:

Mean wage is the average wage for a worker in a specified position or occupation, which may be skewed up or down if there are a few extreme examples in the sample.

Step-by-step explanation:

6 0
2 years ago
Please help me I’m trying to pass this
melamori03 [73]

Answer:

I think the answer is D

Step-by-step explanation:

SOHCAHTOA

sin- Opposite and hypotenuses

Cos- Adjacent and Hypothesis

Tan- Opposite and adjacent

DE is opposite and DF is hypotenuses

7 0
3 years ago
The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial
maks197457 [2]

Answer:

The initial population P0 is 7500

Step-by-step explanation:

First of all, we are told that the population is proportional to time. This means that as time goes by, the population will increase. This type of relationship between two variables has the form of a linear equation expressed as:

y = mx + b,

where m is the slope of the curve and b is the intercept of it.

In this case we can state the following equation:

P = mt + P0

Where P is the population at a certain time "t", "m" is the slope of the curve, "t" is the time (this is the independent variable) and P0 is the intercept of the curve and represents the initial population.

Once we state the equation, let's see what we know:

If t = 0, then P = P0

If t = 3, then P = 12000 just as we are told

and if t = 5, then P = 2 P0 because after five years the population has doubled compared to the initial population (P0).

From the definition of the slope of the curve:

(Y2 - Y1)/(X2-X1) = m

and using the data described before we can formulate the slope value:

m = (2P0 - P0)/(5-0)

m = (2P0 - P0)/5

m = P0/5

Then, let's replace the value of m in the following equation:

P = mt + P0

12000 = (P0/5) × 3 + P0 → This is the equation presented when 3 years has gone by and we now have a population of 12000.

12000 = (3/5) P0 + P0

12000 = (8/5) P0

12000×5/8 = P0 = 7500

Then we can calculate the value of the slope m:

m = P0/5

m = 7500/5 = 1500

Now, knowing the value of m and the initial population P0 we are able to calculate the population at any value of "t".

6 0
3 years ago
Other questions:
  • HELP!!!!!!!!! 10= p x 0.048 x 1/12
    7·1 answer
  • Kamila has a rectangular lawn that measures 80 by 150 feet. She wants to lay gravel made from colored rock in a border, 6 feet w
    7·1 answer
  • Which undefined term is used to define an angle
    8·2 answers
  • What is the answer to. <br> 5-x&lt;8×=-3
    7·1 answer
  • PLZ ANSWER ASAP!
    10·1 answer
  • What is 3.8 X 4.1=?
    7·2 answers
  • PLZZZZZ HELPPPP!!!! i'm very confused on what to do !!!! what is the length of the apothem of a regular hexagon with 16cm side l
    15·1 answer
  • a pencil cells at 18 Ghana cedis in an eraser class at 12 Ghana cedis how much will you pay if you buy three pencils and for era
    12·1 answer
  • • There are 20 pounds of the mixture.
    7·1 answer
  • Determine whether the following pairs of lines are parallel, perpendicular, or neither. y=1/3x+4 3x+y=2​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!