Identify the common difference of the sequence: –8, –1, 6, 13
Using arithmetic sequence concepts, it is found that the common difference of the sequence is of -7.
Arithmetic sequence:In an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference.
In this problem, the sequence is: {-8, -1, 6, 13}
The difference between consecutive terms is:
[tex]13 - 6 = 6 - (-1) = -1 - (-8) = 7[/tex]
Hence, the common difference of the sequence is of -7.
You can learn more about arithmetic sequence at https://brainly.com/question/6561461
The enrollment at a university increased from 16,000 students to 20,000 students over a period of 5
years. What is the percent increase in enrollment?
difference
net/
Answer:
25%
Step-by-step explanation:
Initial no of students = 16,000
Final no of students = 20,000
We need to find the percent increase in enrollment.
The increase in no of students = 20,000 - 16,000
= 4000
Percentage = (increase/initial no of students) × 100
[tex]\%=\dfrac{4000}{16000}\times 100\\\\=25\%[/tex]
Hence, the percent increase is 25%.
Qwin bought a shirt that was on sale for $23.00. The sales tax rate was 7%. Use this information to fill in the statement below.
Answer:
24.61
Step-by-step explanation:
7% of 23 is 1.61
so add 1.61 to 23 = 24.61
Solve for x in each of the following diagrams.
Are the equation linear or nonlinear?
Answer:
Results below
Step-by-step explanation:
Equation of the line
A straight line can be written in the form:
y = ax + b
Where a and b are constants and x is the independent variable.
The essential condition for an equation to be linear is that the x must be powered to the exponent 1, which is usually not written.
From the equations presented in the table:
[tex]y = x^1+2[/tex] is linear because the exponent of the x is 1
y = 5(x+2) = 5x + 10 is linear with a=5 and b=10.
y = x is linear with a=1 and b=0
[tex]y = x^2+1[/tex] is not linear because the exponent of x is 2
[tex]y = x(x) = x^2[/tex] is not linear because the exponent of x is 2
The table below summarizes the results
2. Sandra plans to swim a total of 2 2/3 miles every week for 2 1/5
weeks. How many miles is Sandra planning on swimming?
Answer:
5 13/15 miles
Step-by-step explanation:
what's the constant of proportionality of 1.08p=t
Answer:
1.08 is the constant of proportionality.
Step-by-step explanation:
The constant value (often written k) relating amounts that rise or fall uniformly together.
It is the ratio of the amounts y and x:
k = y/x
Put another way: y = kx
Example: you are paid $20 an hour
The constant of proportionality is 20 because: Pay = 20 × Hours worked
plz help me this is a final!!!
Answer: (a) 10 (b) 1. 10 2. -10 (c) 1. 10 2. 10
Step-by-step explanation:
Choose the equation that represents the asymptote of the graph f(x) = 2^x +3.
y = 0
y = 3
x = 0
x = 3
Answer:
x = 0Step-by-step explanation:
The horizontal asymptote occurs at x = 0, Hence the equation that represents the asymptote of the graph is at x = 0
f(x) = 2^x +3.
0 = 2^x +3.
2^x +3. = 0
2^x = -3
log 2^ x = log(-3)
x log2 = log(-3)
x = log(-3)/log 2
Hence the required function is when x = 0
Which relation below represents a one-to-one function? A 2-column table has 5 rows. The first column is labeled x with entries 5, 14, 7, 13, 12. The second column is labeled f (x) with entries 26, 197, 50, 170, 197. A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 5, 2, 1, 2, 5. A 2-column table has 5 rows. The first column is labeled x with entries 7.25, 7.5, 7.75, 8, 8.5. The second column is labeled f (x) with entries 11, 13, 15, 13, 11. A 2-column table has 5 rows. The first column is labeled x with entries 9, 2, 4, 1, 5. The second column is labeled f (x) with entries 12, 7, 9, 13, 5.
Answer:
D is the correct answer actually
Step-by-step explanation:
just took the unit review
Answer:
d
Step-by-step explanation:
Simplify: 2 (5 + 3x) + (x + 10)
This is for fun type as many Christmas songs as you can below my fav will get brainiest you will get 18 points as well.
again this is for fun and also HURRY UP AND TYPE only 2 users get to do this
We wish you a Merry Christmas
Jingle Bells
Mary did you know
Where are you Christmas
Sleigh Ride
Last Christmas
Rocking Around the Christmas tree
Santa Baby
Mistletoe
The Little Drummer Boy
All I want for Christmas is you
Santa Tell me
Peace on Earth
Grandma got ran over by a reindeer
God rest ye merry gentlemen
Little Saint Nick
Underneath the tree
A Merry little Christmas
Do you hear what I hear
Hallelujah
Christmas in the Hollis
We need a little Christmas
Home for Christmas
Oh holy night
Blue Christmas
Silent Night
A Christmas Carol
White Christmas
Feliz Navidad
Charlie Brown Christmas
When a Child was born
Rudolph the rednosed reindeer
We three kings
Santa Claus is coming to town
Carol of the bells
Silver bells
Joy to the world
Angels we have heard on high
Baby it's cold outside
Step-by-step explanation:
please help me asap
Answer:
Not sure what number sense is, but 3 is the answer.
Step-by-step explanation:
Answer:
the answer would be 3.
Step-by-step explanation:
5 times 3 is 15 plus 40 is 55. Hope this helps!!! Please let me know if i'm right!!!
Hurry plzzzz!! It’s for a test and I’m stuck
Answer:
im pretty sure it is 2m + 10
bc the min is going up by 2 every time and the gallons are going up by 10 each time
Step-by-step explanation
i commented b4 i actually answered it bc it wouldnt let me sry
A study of the career plans of young women and men sent questionnaires to all 722 members of the senior class in the College of Business Administration at the University of Illinois. One question asked which major within the business program the student had chosen. The researcher examined the relationship between gender (men/women) and chosen major. The SPSS p-value was 0.0027. The conclusion of the statistical test is:
Answer: statistically significant
Step-by-step explanation:
The p-value of a statistical test tell us the conclusion to our hypothesis. When the result of the p-value lies between 0.27 it means there is a 27% chance of it occurring, when it is at 0.02 it means there is a 2% chance of it occurring. When it lies between 0.0027 it means there is 0.27 chance of it occurring this becomes statistically significant as this won’t have much changes or effects on the hypothesis. So what this means is there is chance it won’t occur.
Which of the following uses properties of operations to help find 34 x 12?
(30 + 4) X (10 + 2)
30 x 4 x 10 x 2
30 + 4 + 10 + 2
34 + 12
Answer:
the first one is your answer
Step-by-step explanation:
What is the solution to 18 = 2(2x + 7)?
Carrie May 27 of 40 shots. what percent of shots did she make?
Answer:
67.5%
Step-by-step explanation:
15z-7=14z+12 What does Z equal
Answer:
19
Step-by-step explanation:
15z-14z=12+7
z=19
Write the ratio as a fraction in lowest term: 15 to 36
Answer:
5/12
Step-by-step explanation:
15 to 36 can also be written as 15/36.
Divide by common values to simplify.
15÷3/36÷3
5/12
Best of Luck!
Find the unit rate. Round to the nearest hundredth, if necessary.
$5.99 for 18 lb
The unit rate is ?/b
PLEASE HELP ME ILL GIVE 5 STARS ASAP PLEASE
Ron drew a scale drawing of a neighborhood park. The scale he used was 1 centimeter: 2 meters. The actual width of the volleyball court is 8 meters. How wide is the volleyball court in the drawing?
Answer
16 wide
Step-by-step explanation:
because i do 8 x 2
Answer: 4 cm will equal the width of the volleyball court on the scale drawing
Step-by-step explanation:
1cm = 2m
8m/2m =4 cm
16) The expression 100 + 5n can be used to find the total price for students to take a field trip to the
science museum. If n represents the number of students, determine the cost for 120 students(n) to
Visit the science museum.
A. $225
B.$105
C. $600
D. $700
Which expressions are equivalent to 2^−4·2^2?
1) −1/4
2) 4
3) 1/2^2
4) -4
5) 1/4
6) 2^-2
7) 2^2
Answer: the answer is 6)
Step-by-step explanation:
Because [tex]2x^{-4}[/tex] . [tex]2x^{2}[/tex] = [tex]2x^{-4+2}[/tex] = [tex]2x^{-2}[/tex]
I hope it right
Find the difference in SIMPLEST form:
3 1/5 - 1 1/10=
Answer:
2 1/10
Step-by-step explanation:
Answer:
2 1/10 or 2.1
Step-by-step explanation:
Guys I need some help
Which of the following statements best describes the location of −(−1) on a number line?
Answer:
1 unit to the right of 0
Step-by-step explanation:
Well if you distribute the - into the (-1) than you should get a positive becuase -1*-1 is positive 1. So it would be right next to 0 to the right.
A model of a telescope has a height of 15 inches and and a diameter of 3.5 inches. If the actual diameter is 10 inches, find its actual height.
Answer:
The actual height of telescope is 42.85 inches
Step-by-step explanation:
Given that:
Height of model of telescope = 15 inches
Diameter of model of telescope = 3.5 inches
Actual diameter of telescope = 10 inches
Actual height of telescope = x
Ratio of model's diameter to height :: Ratio of actual diameter to height
3.5 : 15 :: 10 : x
Product of extreme = Product of mean
3.5*x = 10*15
3.5x=150
Dividing both sides by 3.5
[tex]\frac{3.5x}{3.5}=\frac{150}{3.5}\\x=42.85[/tex]
Hence,
The actual height of telescope is 42.85 inches
Serena and Stacey are professional hairdressers who work at two different beauty salons in the city. Serena works for 8 hours and earns $112 Stacey is paid $75 for 5 hours of work. Who makes more money per hour?
Answer:
The answer is stacy.
Step-by-step explanation:
if you do 112 divided by 8 you get 14
if you do 75 divided by 5 you get 15
Simplify 2(-3-7) this is math
Answer: -20
Step-by-step explanation:
2(-3 -7)
Use distributive property
2 * -3 = -6
2 * -7 = -14
-6 -14
Then, combine them
-6 -14 = -20
Answer:
-20
Step-by-step explanation: