The first four terms of a sequence are shown on the graph below.
What can be concluded about the sequence?
The common ratio of the sequence is 2.
The common difference of the sequence is 2.
The next term of the sequence is represented by the point (5, 64).
The next term of the sequence is represented by the point (5, –64).
Answers
Answer:
The next term of the sequence is represented by the point (5, –64)
Step-by-step explanation:
From inspection of the graph, the first four terms of the sequence are:
(1, -4)(2, 8)(3, -16)(4, 32)Each x-value increases by 1 for each consecutive term.
Each y-value is the previous y-value multiplied by -2.
Therefore, it is a geometric sequence with a common ratio of -2.
Following the above rule, if the last term in the sequence is (4, 32), then the next term in the sequence will be:
x = 4 + 1 = 5y = 32 × -2 = -64So, the next term of the sequence is represented by the point (5, –64)
Related Questions
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
-7
1) 1/7. 3). 1. 5). 49. yes this is right answer
write the equation of a line:
a) parallel to the line 3x+5y=-10
b) parallel to the line 2y-4x=5 and which goes through the point (3,7)
c) perpendicular to the line 8x+6y=-1 and which goes through the point (-2,1)
THANKS!!
Answers
a) Line parallel to the line 3x+5y=-10 is -6x-10y=9
b) Line parallel to the line 2y-4x=5 and which goes through the point
(3,7) is y= 2x-1.
c) Line perpendicular to the line 8x+6y=-1 and which goes through the
point (-2,1) is 4y= 3x+ 10
The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y.
a) Equation parallel to 3x+5y=-10 is
-6x-10y=9
So, it satisfies: [tex]\frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2}[/tex]
b)given equation into the form of y=mx+c,
2y-4x=5
we can find the gradient of the line.
2y= 5+4x
y= [tex]\frac{5}{2}[/tex] + 2x
Hence, the gradient is 2.
As, Parallel lines have the same gradient
Thus the line would also have a gradient of 2.
Substitute m=2 into the equation:
y= 2x +c
To find the value of c, substitute a pair of coordinates.
When x=3, y=7,
7= 2(3) +c
7= 6 +c
c=6-7
c= -1
So, equation of line be: y= 2x-1.
c) Given: 8x+6y=-1
6y= -1-8x
y= [tex]\frac{-1}{6} -\frac{4}{3}x[/tex]
Hence, m= [tex]-\frac{4}{3}[/tex]
We know, if two lines are perpendicular have m and m' as slope then,
m*m'=-1
[tex]\frac{-4}{3} *m'=-1[/tex]
m'= [tex]\frac{3}{4}[/tex]
Now, y= [tex]\frac{3}{4}[/tex] x +c
Put x= -1 and y=1
then, 1= [tex]\frac{3}{4}[/tex] (-2) + c
c= [tex]\frac{5}{3}[/tex]
So, y= [tex]\frac{3}{4}[/tex] x + [tex]\frac{5}{2}[/tex]
4y= 3x+ 10
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QUESTION
Find 45% of 240.
Answers
Answer:
108
Step-by-step explanation:
Calculator
Answer:
108
Step-by-step explanation:
(45 * 240) / 100
(10,800) / 100
108
What is the square root of 3415? Thank You!
Answers
The square root of 3415 is 58.438001334748
Approximately how much principal would need to be placed into an account earning 3.575% interest compounded quarterly so that it has an accumulated value of $68,000 at the end of 30 years? a. $23,706 b. $23,377 c. $52,069 d. $58,944 please select the best answer from the choices provided a b c d
Answers
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$68000\\ P=\textit{original amount deposited}\\ r=rate\to 3.575\%\to \frac{3.575}{100}\dotfill &0.03575\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &30 \end{cases}[/tex]
[tex]68000=P\left(1+\frac{0.03575}{4}\right)^{4\cdot 30}\implies 68000=P(1.0089375)^{120} \\\\\\ \cfrac{68000}{1.0089375^{120}}=P\implies 23377\approx P[/tex]
Answer: Is (B) 23,377
Step-by-step explanation:
Approximately how much principal would need to be placed into an account earning 3.575% interest compounded quarterly so that it has an accumulated value of $68,000 at the end of 30 years?
a.
$23,706
b.
$23,377
c.
$52,069
d.
$58,944
Please select the best answer from the choices provided
A
( B )
C
D
Translate the phrase into an algebraic expression.The product of 4 and b
Answers
Answer:
the answer is 4×b=4b
Step-by-step explanation:
product=×
4×b=4b
graph the following features ( need this fast by the next 2 hours please help !! )
Y-intercept = -3
Slope = 2
Answers
Slope is 2/1 or y/x so (1,2)
See picture, it might help
If:
JT = 22x +9,
CJ = 62 +4, and
CT = 37,
Find JT.
Answers
jt- 22x+9..
It clearly says JT=22X+9
try 22+9..?
15. Federico necesita resolver el problema de encontrar la medida x, en centímetros, del lado del cuadrado de
la figura.
Sabe que el área total de la figura es 45 centímetros cuadrados y determina que el problema se puede
resolver utilizando la ecuación
8x
2
= 45
Las soluciones correctas de esta ecuación son x = -9 y x = 5. Para resolver el problema inicial, de las dos
soluciones de la ecuación, Federico debe presentar como respuesta
A. -9, porque nueve es el único cuadrado perfecto en las soluciones.
B.
C.
las dos, porque al ser soluciones de la ecuación lo son del problema.
ninguna, porque la ecuación no corresponde al problema.
D. 5, porque el lado del cuadrado debe ser un valor positivo.
Answers
Al encontrar la medida x del lado del cuadrado, Federico debe presentar como solución igual a 5, ya que el lado del cuadrado debe ser un valor positivo.
¿Cómo calcular el área del cuadrado?Como el cuadrado es una figura geométrica que tiene lados iguales, para realizar el cálculo, debemos tomar la medida de uno de los lados y elevarlo al cuadrado. El cálculo se puede realizar mediante la siguiente fórmula:
A = L²Por lo tanto, la geometría plana se usa para calcular las medidas precisas de la habitación en relación con su área, longitud y altura.
La respuesta correcta es la opción D.
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D = {x:x is an integer -3
Answers
Answer:
yes , because -3 is the whole number
The side lengths of the equilateral triangle pictured are each 12 cm. What is the circumference of the larger circle? Round your answer to the nearest 100th.
Answers
Which graph shows the solution to the system of linear inequalities?
2x – 3y <12
y < –3
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything below the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything below the line is shaded.
Answers
Since the graph was not given, answer will be subjective. The graph that shows the solution to the system of linear inequalities of 2x – 3y <12 y < –3 is the one that has It is option B.
What is linear inequalities?A linear inequality is said to be a kind of an inequality that entails a linear function.
Note that a linear inequality is said to be made up of one of the symbols that connote inequality. It is the one that depicts the data that is not equal on a graph.
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Answer:
The correct answer is Graph B
Step-by-step explanation:
Hope this helped you!If it did hit that Brainliest button!
For each graphically defined function below, state the domain, the range, and the intervals on which the function is increasing, decreasing, or constant.
Domain:
Range:
Increasing:
Decreasing:
Constant Intervals?
Answers
Answer:
Domain: [tex]-3\leq x\leq 3[/tex]
Range: [tex]0\leq y\leq 1.5[/tex]
Increasing: [tex]0\leq x\leq 3[/tex]
Decreasing: [tex]-3\leq x\leq 0[/tex]
No constant intervals
Step-by-step explanation:
Hope this helped
I need help! Find the measure of the indicated angle to the nearest degree.
Answers
Answer:
hope this will help you (•‿•)
Step-by-step explanation:
[tex]for \: 1st \: qn \: \\ let \: the \: angle \: be \gamma \\ \cos( \beta ) = \frac{b}{p} \\ \cos( \beta ) = \frac{16}{34} \\ \beta = \cos {}^{ - 1} ( { 0.470}^{ } ) \\ \beta = 61.965 \\ for \: 2nd \: qn \\ let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan( \alpha ) = \frac{20}{15} \\ \alpha = \tan {}^{ - 1} (1.33) \\ \alpha = 53.061[/tex]
What is 70% of 30? Question 4 options: A 7 B 15 C20 D 21
Answers
Answer:
Last option, 21Step-by-step explanation:
I calculated it.
Answer:
the answer is 21
21
PLEASE PLEASE HELP ME
Answers
A rhombus is a quadrilateral whose all sides are of equal length. The measure of the ∠QPR is 42°.
What is a Rhombus?A rhombus is a quadrilateral whose all sides are of equal length, and the opposite are parallel to each other.
The diagonals of a rhombus intersect each other at 90°. Therefore, the measure of ∠QTR can be written as,
∠QTR = 90°
(6y+6) = 90°
6y = 90 - 6
6y = 84
y = 14
Also, the diagonals of the rhombus divide the angle into two equal angles, therefore,
∠QPR = ∠SPR
∠QPR = 3y
∠QPR = 3(14)
∠QPR = 42°
Hence, the measure of the ∠QPR is 42°.
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I just need the equation. please help me find it
Answers
Answer:
y=5x
Step-by-step explanation:
As you can see for the numbers of minutes on the graph, it goes 2,4,6 and on. If you look at the miles you can see the numbers that connect with the numbers of minutes. You can see a pattern. If you multiple 2 x 5 you get 10, if you multiply 4 x 5 you get 20, and etc etc.
Hope this helps <3
Answer:
y = 5x
Step-by-step explanation:
Here :
y = distance covered (in miles)x = time taken (in minutes)The standard form of an equation :
y = mx + cm = rate of change = slopec = y-intercept (which is 0 in this graph)Finding m
Change in rise / Change in run10 - 0 / 2 - 010/2m = 5Equation of the line
y = 5xFor all values of x,
x² + 6x - 2 = (x+p)² + q
Find the value of p and the value of q.
Answers
Step-by-step explanation:
[tex] {x}^{2} + 6x - 2 = {x}^{2} + 2px + {p}^{2} + q[/tex]
[tex]2p = 6[/tex]
[tex] {p}^{2} + q = - 2[/tex]
[tex]p = 3[/tex]
[tex] {3}^{2} + q = - 2[/tex]
[tex]q = - 11[/tex]
p=3, q=-11
There are 6 options on the dessert menu at a restaurant. Akira and Paula like all of the choices equally, so they each choose a dessert at random from the menu. What is the probability that Akira will choose apple pie and Paula will choose strawberry cheesecake for dessert? Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
Answers
Answer:
1/6 = 0.17 Step-by-step explanation:
Can you please help answer will make you brainliest
Answers
Answer:
C
Step-by-step explanation:
given a triangle with 2 sides and the angle between them given, then the area (A) is calculated as
A = [tex]\frac{1}{2}[/tex] bc sinA
the 2 sides are b = 4, c = 6 and ∠ A = 35° , then
A = [tex]\frac{1}{2}[/tex] × 4 × 6 × sin35° = 12 × sin35° ≈ 6.9 m² ( to the nearest tenth )
Helppppppp meeeeeeeeepleaseeeeee
Answers
Answer:
5600x10=56000
56000=B ten thousands
Answer:
Ten Thousands
Step-by-step explanation:
5,600x10=56000
So the 5 will be in the ten thousand place if u get a chart/
ignore the numbers on the chart
The length of a rectangle is 5 feet less than its width. If the area of a rectangle is 84 square feet, find its dimensions.
Answers
Answer:
7 x 12
Step-by-step explanation:
[tex]a=l *w[/tex]
[tex]84=l*w\\w=l+5\\[/tex]
these equations we know, so we can use them like this
[tex]84=l*(l+5)\\84=l^2 +5l\\[/tex]
I then plugged this equation into the desmos calculator to get the answer
[tex]l=7[/tex]
we then plug this into a previous equation
[tex]w=l+5\\w=7+5\\w=12[/tex]
to get our answer l=7, w=12
please help! question in the picture. thank you!!!
Answers
Answer:
3 timesV = 1/3BhStep-by-step explanation:
A prism has a uniform cross-section equal in area to its base area. The volume of a prism is the product of this cross-section area and the length between the parallel bases.
__
A pyramid or cone has a cross section whose linear dimension is directly proportional to the distance from the peak. The volume is 1/3 of the product of the base area and the height.
V = (1/3)Bh . . . . . formula for volume of a pyramid
__
Since the pyramid volume is 1/3 that of a prism with the same overall dimensions, the prism has 3 times the volume of the pyramid.
Olivia is buying a car for £3650. She pays a deposit of £500. What percentage of the price is the deposit?
Answers
Answer:
500 ÷ 3650 = 0.13698630136986 = 13.698630136986%
i have a slight feeling the answer ain’t 21
Answers
Answer:
I think it is
Step-by-step explanation:
4,8,5,15,6,12,7,6
8,5,15,6,12,7
5,15,6,12
15,6
15+6=21
X
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1
a worker at the rainbow garden center planted multiple rows of flowers.
- there are 3 flowers in the first row.
- each of the remaining rows has 4 more flowers than the previous row.
determine the number of flowers in rows 20 and 35
row 20 has
flowers.
row 35 has
flowers.
i
Answers
4. Sally earns $1,300 a week in gross income. What is Sally's gross income for 1 year? (years have
52 weeks in them...)
Answers
Answer:
67600
Step-by-step explanation:
1300x52=67600
Answer:
$67,600
Step-by-step explanation:
1300 x 52 = 67600
The first two angles in a triangle are identical and have a sum of 120 degrees. Select the possible names for the triangle from the list below
Answers
1000 ft.
Problem 3.2
100 ft.
A large rectangular swimming pool is 1000 feet long,
100 feet wide, and 10 feet deep.
The pool is filled to the top with water.
How much water does the pool hold?
Submit
Answers
Answer:
1,000,000
Step-by-step explanation:
you just get the Volume of the shape
Someone please help! Giving brainliest!
Membership to a music club costs $120. Members pay $20 per music lesson and nonmembers pay $35 per music lesson. How many music
lessons would have to be taken for the cost to be the same for members and nonmembers?
Answers
Answer: The answer is three
Step-by-step explanation:
