What is the nth term rule of the quadratic sequence below?
6,12,20,30,42,56,72
Answers
Answer:
Step-by-step explanation:
The first term is 6. The difference between the first two terms is 6. The first differences are 6,8,10,12,etc. so the second differences are 2’s.
quadratic formula: an^2+bn+c
2a=second difference=2
3a+b=first differece =6
a+b+c=first term=6
substitute: a=2/2=1, 3(1)+b=6 so b=3, 1+3+c=6 so c=2
nth term= n^2+3n +2
Related Questions
which graph correctly represents
3x + y>72
A graph A
B. graph B
с graphic
D graph D
Answers
Answer:
The correct graph should have an x-intercept of 24, a y-intercept of 72, connected by a dashed line, with shading to the right
Step-by-step explanation:
y > -3x + 7
The correct graph should have an x-intercept of 7/3, a y-intercept of 7, connected by a dashed line, with shading to the right
Find the volume of the rectangular prism.
90.625 cubic feet
107.5 cubic feet
281.25 cubic feet
20.75 cubic feet
Answers
Answer:
The answer is C, 281.25 cubic feet.
Step-by-step explanation:
First, you need to multiply all three sides of the rectangular prism.
10x4.5=45
45x6.25=281.25
So the answer is 281.25
Hope this helps!
If the if a cylinder is 7 in tall and has a volume of 63 Pi inches what is the area of the cross section it goes right down the middle
Answers
Answer: [tex]9\pi \ in.^2[/tex]
Step-by-step explanation:
Given
The height of the cylinder is [tex]h=7\ in.[/tex]
The volume of the cylinder is [tex]V=63\pi \ in.^3[/tex]
The volume of the cylinder is the product of area and height
[tex]\Rightarrow V=\pi r^2h\\[/tex]
Insert the values
[tex]\Rightarrow 63\pi =A\times 7\\\\\Rightarrow A=\dfrac{63\pi}{7}\\\\\Rightarrow A=9\pi\ in.^2[/tex]
Thus, the area of the cross-section is [tex]9\pi \ in.^2[/tex]
70.5 is what percent of 94
Answers
Answer:
75%
hope this helps
have a good day :)
Step-by-step explanation:
Answer: 75%
Step-by-step explanation:
These box plots show the number of electoral votes won by Democratic and
Republican presidential candidates for the elections from 1984 through 2012
Republican
159
170
525
Democratic
299
3675
0
50
100
150
400
450
500
550
200 250 300 350
Electoral votes
Which statement best compares the spreads of the data sets?
Answers
Answer:
(a) is true
Step-by-step explanation:
Given
See attachment for box plots
Required
Which of the options is true?
Option A compares the IQR of both plots.
IQR is calculated using:
[tex]IQR = Q_3 - Q_1[/tex]
Where
[tex]Q_1 \to[/tex] Lower quartile
[tex]Q_2 \to[/tex] Upper quartile
From the attached plots, we have:
Republican
[tex]Q_1 = 170.5[/tex]
[tex]Q_3 = 356[/tex]
So:
[tex]IQR = 356 - 170.5[/tex]
[tex]IQR = 185.5[/tex]
Democratic
[tex]Q_1 = 181[/tex]
[tex]Q_3 = 367.5[/tex]
So:
[tex]IQR = 367.5 - 181[/tex]
[tex]IQR = 186.5[/tex]
We have:
[tex]IQR = 185.5[/tex] --- Republican
[tex]IQR = 186.5[/tex] --- Democratic
Hence, (a) is true
Solve X2--169. (4 points)
Answers
Answer:
Replace all occurrences of
−
−
with a single
+
. Two consecutive minus signs have the same mathematical meaning as a single plus sign because
−
1
⋅
−
1
=
1
x
2
+
169
Step-by-step explanation:
What are the solutions of 2x^2 + 7x = 4
½
4
-½
-4
7
-7
Answers
How would you "say" the image on the right?
A.) Prime A, B, C, and D
B.) A prime, B prime, C prime, D prime
Answers
Answer:
a
Step-by-step explanation:
prime abc and d
hope this helps
Which function has the greater maximum value: f(x) = -3x2 + 6x + 4, or g(x),
the function in the graph?
Answers
Answer: f(x)
Step-by-step explanation:
The function g(x) has the greater maximum value. So, option (A) is the correct answer.
What is the graph of a function?"The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation".
For the given situation,
The function f(x) is expressed as -3x^2 + 6x +4
The function g(x) is shown in the graph.
Plot the function f(x) in the graph to compare with g(x).
The graph for f(x) is shown below.
The function f(x) is the decreasing function, so it has only a minimal value.
The function g(x) is the increasing function, so it has a maximum value.
Hence we can conclude that the function g(x) has the greater maximum value. So, option (A) is the correct answer.
Learn more about the graphs of functions here
https://brainly.com/question/18422775
#SPJ2
25. Kendra owns a toy store. She charges $5.00 for two cars and one piece of candy. She charges \$3.2 for one car and one piece of candy. How much does Kendra charge per car?
Answers
Kendra's charge per car in the toy store is $1.8.
What is the system of equations?"Systems of equations, sometimes called simultaneous equations, are a group of relationships between various unknown variables that can be expressed in terms of algebraic expressions".
For the given situation,
Let the number of cars be 'x' and
The number of candy be 'y'
$5.00 for two cars and one piece of candy
$3.2 for one car and one piece of candy
System of the equation for the above case
Equation 1:
[tex]2x + y = 5[/tex]
Equation 2:
[tex]x + y = 3.2[/tex]
Subtract equation 2 from equation 1,
⇒ [tex]x=1.8[/tex]
On substituting x in equation 2, we get
⇒ [tex]y=3.2-1.8[/tex]
⇒ [tex]y=1.4[/tex]
Hence we can conclude that Kendra's charge per car is $1.8.
Learn more about the system of equations here
https://brainly.com/question/9351049
#SPJ2
can an ace help me now plss
Answers
Answer:
Graph B
Step-by-step explanation:
[tex]y = x^2[/tex] is a quadradic function. It graphs as a parabola. It has a vertex point of (0,0) and it opens upwards.
See the graph attached.
Hope this helps.
Shane is standing near a cell tower. The angle of elevation from him to the top of the tower is 73°. Cara is standing 10 feet behind Shane (further away from the cell tower). From her, the angle of elevation to the top of the tower is 65°. What is the height of the tower, rounded to the nearest tenth of a foot?
Answers
Answer:
75ft
Step-by-step explanation: angles
Ann had 96 filers to post around town. Last week, she posted 1/4 of them. This week, she posted 1/3 of the remaining filers. How many filers has she still not posted
Answers
Answer:
48 [fliers]
Step-by-step explanation:
Ann starts with 96 fliers. After she posts 1/4 of them, she will have 3/4*96=72 fliers left. She now has 72 remaining flyers. After posting 1/3 of these, she will have 2/3*72=48 fliers left.
What is the mode interval for the set of data?
80 - 89
70 - 79
90 - 99
60 - 69
Answers
Answer:
80-89
Hope this helps
Answer:
A
Step-by-step explanation:
CE and BD are diameters of circle F. What is the measure of angle AFB?
Answers
Distribute 2 (9x^2 + 3).
Answers
Answer:
18x^2+6
Step-by-step explanation:
2(9x^2+3)
multiply each term in parentheses by 2
2 x 9x^2+2 x 3
calculate product
18x^2+2 x 3
multiply numbers
18x^2+6
In a survey, 80 percent of those
surveyed had at least one brother or
sister. What fraction of those surveyed
had at least one brother or sister? Write
your answer in the simplest form.
Answers
Answer:
4/5
Step-by-step explanation:
If we are given this value as a percent we can simply turn that percentage into a fraction. 80% would be 8/10 but since the question wants the fraction in simplest form we can achieve this by dividing both the numerator and denominator by 2. This would give us 4/5, which if we divide the numerator by the denominator we get 0.80 which is 80%. Therefore, the fraction of those surveyed that had at least one brother or sister is 4/5
GIVING BRAINLIEST PLZ HELP
Answers
Answer:
Sebastian
Step-by-step explanation:
COINS: Find the number of possible outcomes if 2 quarters, 4 dimes, and 1 nickel are tossed.
Answers
5+5x2=? heh i "ToTaLlY" dont know this
Answers
Answer:
15
Step-by-step explanation:
What is the distance from the origin to point P graphed on the complex plane below?
A) sqrt 7
B) sqrt 29
C) 7
D) 29
Answers
Answer:
Sqrt 29
Step-by-step explanation:
A) sqrt 7
Hope this helped!
Which statement is true
A. If a relationship is non - linear, it is not a function
B. A graph of a curve is linear
C. A graph that shows a constant rate of change is linear
D. A non - linear relationship has a constant slope.
Answers
Answer:
C is correct
Step-by-step explanation:
I just know this from having previously learned it, I'm not sure how to explain it but hope the answer helps!
A bag contains n counters. one counter is blue and the rest are red. Two counters are taken at random from the bag. a) express, in terms of n, the probability that a counter of each colour is taken. Give your answer as a fraction. b) the probability that a counter of each colour is taken is 0.125. How many red counters are in the bag?
Answers
Answer:
A] Probability = 1/n ; B] Number = 8
Step-by-step explanation:
Total counters = n , Blue counter = 1 , Red counters (remaining) = n -1
A] Prob (One blue, & One red counter) = (Blue counter / Total counters) x (Red counters / Total remaining counters) = [1 / n] x [ (n -1) / (n-1)] = 1 / n
Alternative, Prob (One red, & one blue) = (Red counter / Total counters) x (Blue counters / remaining counters) = [ (n-1) / n ] x [1 / (n-1) ] = 1 / n
B] Prob (each color , a blue & red counter taken) = 0.125 {Given}
By A], this Prob = 1/n.
So, 0.125 = 1/n → n = 1 / 0.125 = 8
MAth problem
Help ASAP please
Answers
Answer: 6
Step-by-step explanation:
ab:pq = 5:35, and ac:pr=x:42
because ab:pq=5:35, then it becomes 1:7, as you can divide by 5 on both sides. Ac:pr=x:42, and 42=7x. When you solve that x=6.
hope that makes sense!
How would you find the value of x
Answers
Answer:
where is the question
Step-by-step explanation:
send me the question on comment and i will solve it for you
Simple question who does Marinette Dupain-Cheng have a crush on?
Answers
She has a very big crush on Adrien Agreste but she’s just a very good friend
Answer:
Adrien Agreste!
Step-by-step explanation:
But she does have hidden feelings for Cat Noir. She even said that maybe she'd see him differently if Adrien didn't exist.
Will give brainiest if someone answers correctly
x=
Length=
Width=
Answers
Length =2
Width=3
What is the Ka of a solution of 0.025M formic acid, if the pH 10 points
is 2.60? Answers
Ka = 0.025
Ka = 2.5x10^-4
Ka = 2.8x10^-4
Ka = 2.8x10^-2
Answers
Answer:
ka=2.8×10>4
Step-by-step explanation:
.$%_&<</___/%$
solve this inequality:
-1/3n - 8 < -25
Answers
If you’re going to simplify it, it’s -1/3n-33
I WILL GIVE 30 POINTS!!!!!!
Answers
Answer:
Option D would be the correct answer:
Step-by-step explanation:
=> If we 15 is the why intercept, then it means when x = 0, y = 15. Now if the slope is 12.5x, it means that the graph is increasing by 12.5 units each time. This means if we say 15 + 12.5 + 12.5 (since we are given an x value for y = 2) we would get 40.00. And that we get, hence option D is the correct answer.
Hope this helps!