Let the set of all Odd multiples of 9 between 2 and 82 be denoted by D, then, using set-builder notation,
[tex]D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}[/tex]
The odd multiples of 9, [tex]m[/tex], in the range [tex]2\le m \le 82[/tex] form the set
[tex]\{9,27,45,63,81\}[/tex]
Each member of the set is a term of the arithmetic progression
[tex]U_n=18n+9[/tex]
where the values of [tex]n[/tex] range from 0 to 4, or [tex]0\le n\le 4[/tex]
Putting these facts together, we get the result
[tex]D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}[/tex]
Learn more about set-builder notation here: https://brainly.com/question/17238769
What is the Nth term rule of the Quadratic sequence -5 -4 -1 4 11 20 31
Step-by-step explanation:
an = A×n² + B×n + C
a1 = -5 = A×1² + B×1 + C = A + B + C
a2 = -4 = A×2² + B×2 + C = 4A + 2B + C
a3 = -1 = A×3² + B×3 + C = 9A + 3B + C
a2 - a1 = -4 - -5 = 1 = 4A+2B+C-A-B-C = 3A + B
3A = 1 - B
A = (1 - B)/3
a3 - a2 = -1 - -4 = 3 = 9A+3B+C-4A-2B-C = 5A + B
3 = 5A + B = 5(1 - B)/3 + B
9 = 5(1 - B) + 3B = 5 - 5B + 3B = 5 - 2B
4 = -2B
B = -4/2 = -2
A = (1 - -2)/3 = (1 + 2)/3 = 3 / 3 = 1
-5 = A+B+C = 1 - 2 + C = -1 + C
-4 = C
so,
an = n² - 2n - 4
Solve for x. Round your answer to the nearest tenth.
Answer:
-x + 20
Step-by-step explanation:
13-x+3+4
13 - x + 3 - 3 = 4 + 3
13 - x = 7
= -x + 7 + 13
= -x + 20
#Carry on LearningIf a slingshot is used to shoot a marble straight up into the air from 2 meters above the
ground with an initial velocity of 30 meters per second, for what values of time t will the
marble be over 35 meters above the ground? (Refer to Exercise 25 in Section 2.3 for assistance
if needed.) Round your answers to two decimal places
Answer:
use this equation: GPE=mgh
Step-by-step explanation:
GPE = gravitational potential energy = J
m = mass = Kg
g = gravitational field = N/kg = world's gravitational field is 9.8N/kg
h = height = m
What are the coordinates of point P' if point P(3, -4) is reflected over the line y = x? *
Answer:
(4,3)
Step-by-step explanation:
please mark as brainliest if correct
thank you
19NBoli
f x and r are inversely proportional and x = 9 when r = 72, then what is x when r = 40?
Answer:
16.2
Step-by-step explanation:
r = k/x
when x = 9 and r = 72 ,72 = k/9
k = 72*9
When r = 40 ,
x = k/r
x = 72*9/40 = 16.2
PLEASE HELP WITH THIS ONE QUESTION (what is meant by “describe” is give all the values of the key features).
Answer:
x-intercepts: (1,0), (−2,0) and (2,0)
y-intercept: (0,4)
The graph is rising and crosses 3 times the x-axis and 1 time the y-axis as shown above.
Can anyone help! Please!
Determine whether the inverse of F(x) is a function.
Answer:
Step-by-step explanation:
A function f(x) has an inverse, or is one-to-one, if and only if the graph y = f(x) passes the horizontal line test. A graph represents a one-to-one function if and only if it passes both the vertical and the horizontal line tests.
Find the number N , such that when 1 ÷3
of it's added to 8 , the results is the same as when 1÷2 of it is subtracted from 18
Answer:
Step-by-step explanation:
8 + N/3 = 18 - N/2
N/3 + N/2 = 18 - 8
2N/6 + 3N/6 = 10
5N/6 = 10
N = 10(6/5)
N = 12
Answer:
N=12
Step-by-step explanation:
Set up an equation involving N
(1/3)N+8=18-(1/2)N
We want to clear the denominator to start with by multiplying everything on both side by 6
2N+48=108-3N
Move all the N's to one side and the number to the opposite
5N=60
Divide by 5
N=12
Check:
(1/3)12+8=18-(1/2)12
4+8=18-6
12=12
The first recorded Olympic game began in 776 called the Asian Olympics games were held every four hours until being abolished by the Roman emperor Theodosius in 393 determine the length of time between the start of the ancient Olympics and the modern Olympics which began in 1896
Answer:
1503 years
Step-by-step explanation:
Although the ancient Games were staged in Olympia, Greece, from 776 BC through 393 AD, it took 1503 years for the Olympics to return. The first modern Olympics were held in Athens, Greece, in 1896.
8x + 1/3 = 2/3 what is the answer?
Answer:
1/24
Step-by-step explanation:
8x + 1/3 = 2/3
- 1/3 - 1/3
8x = 1/3
8x/8 = (1/3)/8
x = 1/24
cual de estas fracciones es mayor que 2/5?explica como lo has averiguado
Answer:
33333
Step-by-step explanation:
4.
Faiza had 1/2 litres of juice in a jug. She drank of it in the 1/4
morning. Her sister added 3/8 ſlitres more in the jug. How much juice
is in the jug now?
Step-by-step explanation:
1/4*0.5lit=0.125lit
0.125+(3/8*1000)=0.125+0.375=0.5lit
Which of the diagrams shows an exponential graph?
Answer:
Diagram "C"
Step-by-step explanation:
The curve eventually shows that it is an exponentially graph
|a| if a>0
Please help!
Answer:
Step-by-step explanation:
the absolute value bars mean we ignore the sign of the variable
As (a) is always positive for a>0, |a| = a
For contrast, If the range were a<0 where (a) is always negative, then |a| = -a
Answer:
1/a > 0
Step-by-step explanation:
Find the equation for the linear function based upon this table. y = mx + b
y -6 -2 2 6 10
x -4 -2 0 2 4
Answer:
y = 2x + 2
Step-by-step explanation:
for each rise of 4 in y
there is a run of 2 in x
m = rise/run
m = 4/2
m = 2
when x = 0, y = 2
therefor the y-intercept, b = 2
y = mx + b
y = 2x + 2
Your school ID is a 5-digit number. The 9 is in the thousand place, the 0 is in the ones place, an 8 is in the thousands place, a 4 is in the tens place and a 2 is in the hundreds place. What is your school ID number?
Answer:
89240
Step-by-step explanation:
_ 9 _ _ _ is in the thousands
_ 9 _ _ 0 is in the ones
going to assume you meant 8 is in ten thousands
8 9 _ _ 0 is in ten thousands
8 9 _ 4 0 is in tens
8 9 2 4 0 is in hundreds
School number is 89240
Answer: 98,240
What we are doing here is changing from expanded form into standard form.
To do that, you add all the place values to get the total number. So, our place values are:
10,000 - Ten Thousands Place
1,000 - Thousands Place
100 - Hundreds Place
10 - Tens Place
Now, we will need to look at the problem.
It says, The 9 is in the ten thousand place, the 0 is in the ones place, an 8 is in the thousands place, a 4 is in the tens place and a 2 is in the hundreds place.
According to the question, the 9 will be in the Tens Thousands Place, so our first number will be, 90,000.
The 8 will be in the Thousands place, so our second number will be 8,000.
The 2 will be in the Hundreds place, so our third number will be 200.
The 4 will be in the Tens place, so our fourth number will be 40.
Since the one's place is 0, we don't need to worry about that number.
Putting the answer in an equation, it will be like this,
90,000 + 8,000 + 200 + 40Now we can add.
Adding these numbers up will equal to, 98,240.
Therefore, the answer is 98,240.
The staff at a company went from 40 to 29 employees. What was the percent change in the number of staff?
Answer: 27.5% decrease in the staff
Step-by-step explanation:
Che sum of two numbers is 2. If one number is subtracted from the other, their difference is - 8. Find the numbeRs
Answer:
1st number (x) = -3, 2nd number (y) = 5
Step-by-step explanation:
x + y = 2, y = 2 - x
x - y = -8, y = x + 8
By substituting y = 2 - x in the other equation:
(2 - x) = x + 8
2 - 8 = x + x
-6 = 2x
x = -3
Now plug x = -3 into either equation:
y = 2 - x
y = 2 - (-3) = 5
So the numbers are -3, 5
Maria spends 9/10 hour on her art project. Juan spends 2/6 hour on his art project. Which answer is the most accurate estimate for how much more time Maria spends on her art project than Juan spends on his?
A. 0 hrs
B. 1/2 hrs
C. 3/4 hrs
D. 1 hr
Answer:
B. 1/2 hrs
Step-by-step explanation:
make the denominator the same
27/30 10/30
27-10= 13
13/30
a half is 15/30 and it's the closest answer since the question said estimate.
do atoms have potential and kinetic energy? please explain why you think so?
Energy is a fascinating concept. It can neither be created nor destroyed, but it can be altered. Whenever you use or store energy, you deal wit potential or kenetic energy. Read on as we discuss these two energy forms in greater detail and explore the relationship between them
Answer:
Yes.
Step-by-step explanation:
Atoms have potential energy in covalent bonds which hold them together and kinetic energy when in motion. For instance, when there is an increase in temperature, particles gain in kinetic energy and move faster.
The measure of an interior angle of a regular polygon is 144°. Find the number of sides in the polygon
• n = 4
• n = 6
• n = 10
• n = 15
Answer:
The number of sides of the regular polygon is 10
a.Donkey Kong is an arcade game where an animated figure, Mario, jumps over barrels. In the original game, it was virtually impossible to get through to Level 22 before Mario was ‘killed’ by the game. This was an unintended consequence of how the number of bonus points was calculated and stored.
The number of bonus points a player starts with when they move onto a new level depends on the number of the level that they are moving onto. Behind the scenes, Donkey Kong takes the level that is about to be entered, multiplies it by 10 and adds 40, thus yielding the first two digits of the player’s starting bonus.
So, for example, if a player is about to start Level 2, the bonus number is calculated like this:
2 × 10 + 40 = 60.
This bonus number is stored in a single byte as an unsigned integer. The bonus number will never be 0.
i.Write down and evaluate an expression for the number of different unsigned integers that can be represented in a single byte. Then write down the largest unsigned integer that can be represented if no representation for 0 is required.
ii.Find the bonus number associated with Level 22. Explain why storing this bonus number will cause a problem.
iii.For Level 22, the bonus number actually stored is 4. Give one likely explanation for this.
iv.The bonus number is multiplied by 100 before it is displayed on the screen, so for Level 22 the number displayed on the screen is 400. The displayed number decreases by 100 every 1.75 seconds. When the displayed number reaches 0, Mario is automatically killed. How many seconds does the player have to finish Level 22?
Answer: what is the Question?
Step-by-step explanation:
Triangle ABC is graphed below. Translate the figure left 2 units and down 3 units.
Answer:
I think it's maybe -4
Step-by-step explanation:
What is the nth term of each linear pattern?
a) 5.4, 8.4, 11.4, 14.4, 17.4...
b) 85, 80, 75, 70...
c) 38 1/2, 43 1/2, 48 1/2, 53 1/2, 58 1/2
I need help!!! Answer asap plz
A number cube will be rolled 100 times as part of an experiment. Which calculation would you use to predict the number of times a 4 will be rolled?
A. (36)(1/4)
B. (100)(1/4)
C. (100)(1/6)
D. (36)(1/4)
No links please
4 x ( 2 + 5 )^2 - 5^2
Toothpaste Ken is traveling for his business. He has a new 0.85-ounce tube of toothpaste that’s supposed to last him the whole trip. The amount of toothpaste Ken squeezes out of the tube each time he brushes varies according to a Normal distribution with mean 0.13 ounces and standard deviation 0.02 ounces. If Ken brushes his teeth six times on a randomly selected trip, what’s the probability that he’ll use all the toothpaste in the tube?
Using the normal distribution, it is found that there is a 0.2798 = 27.98% probability that he’ll use all the toothpaste in the tube.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.When a variable is multiplied by a constant, both the mean and the standard deviation are multiplied by the constant.In this problem:
Brushes 6 times.Each time, mean of 0.13 ounces, hence, for the 6 times, [tex]\mu = 0.13(6) = 0.78[/tex]Each time, standard deviation of 0.02 ounces, hence, for the 6 times, [tex]\sigma = 0.02(6) = 0.12[/tex].The probability that he’ll use all the toothpaste in the tube is 1 subtracted by the p-value of Z when X = 0.85, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.85 - 0.78}{0.12}[/tex]
[tex]Z = 0.583[/tex]
[tex]Z = 0.583[/tex] has a p-value of 0.7202.
1 - 0.7202 = 0.2798
0.2798 = 27.98% probability that he’ll use all the toothpaste in the tube.
A similar problem is given at https://brainly.com/question/24663213
Three students, Madeline, Austin, and Aubree, line up one behind the other. How
many different ways can they stand in line?
Answer:
6 Ways
Step-by-step explanation:
Given: 3 students, Madeline, Austin, and Aubree
To Find: How many different ways can they stand in line?
Solution: 3 students, can line up in 3 so 6 ways.
Mrs. Salcido cut a small birthday cake into 6 equal pieces for 6 children one child was not hungry, so she gave the birthday boy a piece. draw and label a tape diagram to show how much each of the 5 children receive. need answers ASAP for 93 point
Answer:
Is there a reference? there's insufficient information.
Step-by-step explanation:
Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
Answer:
I dont but want to.
Hope this helps! :) ;-;
Step-by-step explanation: