PLEASE HELP
find the first 5 terms in the sequence
A) 6, 12, 24, 48, 96
B)1, 2, 3, 4, 5
C)6, 7, 8, 9, 10
D) 6, 11, 21, 41, 81
Answer:
The first five terms are 6, 11, 21, 41, 81 ⇒ D
Step-by-step explanation:
∵ The rule of the sequence is a(1) = 6; a(n) = 2 a(n - 1) - 1 for n ≥ 2
∴ The first term of the sequence is 6
∴ The value of n represents the position of the term
∵ n = 2
∴ a (n - 1) = a(2 - 1) = a1
∵ a1 = 6
→ Substitute a1 by 6
∴ a(2) = 2(6) - 1 = 12 - 1
∴ a(2) = 11
∵ n = 3
∴ a (n - 1) = a(3 - 1) = a2
∵ a2 = 11
→ Substitute a2 by 11
∴ a(3) = 2(11) - 1 = 22 - 1
∴ a(3) = 21
∵ n = 4
∴ a (n - 1) = a(4 - 1) = a3
∵ a3 = 21
→ Substitute a3 by 21
∴ a(4) = 2(21) - 1 = 42 - 1
∴ a(4) = 41
∵ n = 5
∴ a (n - 1) = a(5 - 1) = a4
∵ a4 = 41
→ Substitute a4 by 41
∴ a(5) = 2(41) - 1 = 82 - 1
∴ a(5) = 81
∴ The first five terms are 6, 11, 21, 41, 81
In a board game, Judy scored 5 points more than twice the number of points Ann scored. There was a total of 65 points scored. If Judy scores x points and Ann scores y points . How many points did Judy score?
Judy scored 45 points in the board game.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
In a board game,
Judy scored 5 points, more than twice the number of points Ann scored.
If Judy scores x points and Ann scores y points,
that means,
x = 2y + 5
x - 2y = 5. {equation 1}
There was a total of 65 points scored.
x + y = 65 {equation 2}
Subtract the equation 2 to equation 1,
we get,
-3y = -60
y = 20
Then, x = 45.
Therefore, 45 points Judy scored.
To learn more about the system of equation;
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what are the angle measures given the figure is a rhombus???
Answer:
∠ 1 = 136°
Step-by-step explanation:
The diagonals of a rhombus bisect the angles, thus other side of the diagonal to 22° is also 22°. Making the whole angle = 44°
Consecutive angles are supplementary, thus
∠ 1 + 44° = 180° ( subtract 44° from both sides )
∠ 1 = 136°
Which of the following values are solutions to the inequality
Is “12.95 x 10^4” a Scientific Notation? Yes or No? Explain.
Answer:
Yes
Step-by-step explanation:
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8. and that is something Very similar.
Hope this helps!
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Which is a unit rate?
INS
80 miles in 4 hours
50 miles on 3 gallons
25 miles per 1 gallon
40 miles per 0 hours
Answer:
my answer for this question is 195
Step-by-step explanation:
i need to know where to graph it too
Step-by-step explanation:
y=2x+3
y=3x+3
(Use the elimination method)
y=2x+3(-3) = -6x-9
y=3x+3(2) = 6x+6
(subtract the new equations)
y= -3
(Now find X)
(plug in y in any equation and solve)
y=2x+3
(-3)=2x+3
0= 2x X= 0
or you can just graph the lines go to three on the Y axis put a point go up the y-axis two and over 1 and plot another point.
go to three on the y-axis and plot a point. go up three on the y-axis and over 1
- 2 (k+ 3) > - 2k - 7
Answer:
-2 (k+3) > -2k -7 --> -2k-6 > -2k-7
+2k +2k
-6 > -7 = No Solution
Step-by-step explanation:
Fred opened a bank account with $310. He then deposits $55 per week. Stan started his bank account with $650 and withdraws $30 per week. Set up an equation to represent this situation. After how many weeks, w, will their bank accounts have the same amount in them
Answer: 4 weeks
Step-by-step explanation:
Translate each expression then write the expression in factored form.
Ten times a number subtract from eighteen.
Answer:
I think the is 18-10s
Step-by-step explanation:
hope that helps
two trapezoids-shaped tabletops are congruent to each other trapezoid FGHI =trapezoid WXYZ must be congruent to GH
A. XY
B. WX
C. YZ
D. WZ
Answer: B: WX
Step-by-step explanation:
Write the slope intercept
Answer:
It would be 2x -5=y
Step-by-step explanation:
The equation for the two points is 2x -5=y so the slope intercept would be 2x -5=y
Find the distance between (0,5) and (8,9). Round your answer to the nearest tenth.
The distance is about
units.
Answer:
8.9 units
Step-by-step explanation:
sqrt[(x2-x1)^2+(y2-y1)^2]
sqrt[8^2+4^2]
sqrt(80)
8.9 units
Need help ASAP!! Tysm will mark brainliest
Answer:
about 30 then you will still fall short of that mark
HOPE IT HELP I AM NOT WANTING TO BE INCORRECT
Step-by-step explanation:
this is idiotic sense all the 3's will fall short
Y-4=-2(x+3)y−4=−2(x+3)y, minus, 4, equals, minus, 2, left parenthesis, x, plus, 3, right parenthesis Complete the missing value in the solution to the equation.
Answer:
4
Step-by-step explanation:
just did it
Answer:
3
Step-by-step explanation:
Khan Academy
HELP! GIVING OUT BRAINIEST AND 10 POINTS!!!
Answer:
i think it's 18
Step-by-step explanation:
no need to
Answer:
x=12
Step-by-step explanation:
If you add HG and GE together, you would get the value for HE. You also get HE if you add HF and FE. Setting HG+GE equal to HF+FE gives us a true equation we can use to solve for x. The math is attached.
A frosting recipe calls for adding 5 tsp of red food coloring for every 3 tsp of blue food coloring. If you used 15 tsp of blue food coloring, how many tsp of red food coloring would you use to get the same recipe of frosting ?
Answer:
tsp of red food coloring = 25
Step-by-step explanation:
Red food coloring = 5 tsp
Blue food coloring = 3 tsp
Red food coloring : Blue food coloring = 5 tsp : 3 tsp
Blue food coloring = 15 tsp
how many tsp of red food coloring would you use to get the same recipe of frosting ?
Let
x = tsp of red food coloring
Red food coloring : Blue food coloring = x tsp : 15 tsp
Equate the ratios to find x
Red food coloring : Blue food coloring
5 tsp : 3 tsp = x tsp : 15 tsp
5 / 3 = x / 15
Cross product
5 * 15 = 3 * x
75 = 3x
Divide both sides by 3
x = 75 / 3
= 25
x = 25 tsp
tsp of red food coloring = 25
(first question btw)
please help i will mark brainliest if correct!
Answer:
(3,9)
Step-by-step explanation:
Because the translation moves 1 in the x direction and 4 in the y direction, you just add those to the starting x and y coordinates.
(2+1, 5+4)
(3, 9)
Which equation represents the vertex form of the equation y= x2 - 6x + 11?
A. y= (x - 3)2 + 2
B. y= (x - 6)2 + 2
C. y= (x - 6)2 +11
D. y= (x - 3)2 + 11
Answer:
A
Step-by-step explanation:
Use the method of completing the square to express in vertex form.
Given
y = x² - 6x + 11
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 11 , then
y = (x - 3)² + 2 → A
Answer:A
Step-by-step explanation:
2x+3y=122, x, plus, 3, y, equals, 12
Complete the missing value in the solution to the equation.
((left parenthesis
,8),8)
she me he sid sud iebe Howie
What is the correct answer for all?
Answer: 13.B
14.B
15.C
16.A
17.D
18.A
Step-by-step explanation:
The average of four numbers 30.5. three of the numbers are 24.2, 14.5, 50.5
what is the fourth number?
Answer:
32.8
Step-by-step explanation:
The average is calculated as
average = [tex]\frac{sum}{count}[/tex]
let x be the fourth number, then
[tex]\frac{24.2+14.5+50.5+x}{4}[/tex] = 30.5 ( multiply both sides by 4 )
89.2 + x = 122 ( subtract 89.2 from both sides )
x = 32.8
Thus the fourth number is 32.8
HELP PLEASE ASAP!! WILL GIVE BRAINLIEST ❤️
Find the slope of the line. Enter your answer in simplest form.
Answer:
slope=4
Step-by-step explanation:
m=y2-y1/x2-x1
4-(-4)=8
5-3=2
8/2=4
hope this helps :3
if it did pls mark brainliest
Find the slope plz help help plz
Answer:
-2
Step-by-step explanation:
PLEASE HELP WILL GIVE 20 POINTS
Use I = PRT to solve.
(time is in years)
P = $450
R = 5%
T = 7 years
Find I.
Answer:
$150.50
Step-by-step explanation:
I = 450 × 0.05 × 7 = 157.5
I = $ 157.50
The simple interest accumulated
on a principal of $ 450.00
at a rate of 5% per year
for 7 years is $ 157.50.
Hellooo :)
The answer is I = $ 157.50
please help!!!!!!!!!
Answer:
1) 1:100
2)200 ml
3) 1:50:100
Step-by-step explanation:
Egg to milk = 3:100 or 1:100
3:100=2:x x=200
Eggs to flour to milk=
3:150:300.
Or 1:50:100
Hope this helps plz mark brainliest :D
please help i will mark brainliest
Answer:
180, i already commented it but like i even looked it up a straight line is 180
Step-by-step explanation:
what is the solution to this equation? 14 - 3x = 6 - 5x
Answer:
x=-4
Step-by-step explanation:
14-3x = 6-5x
-3x -3x
14 = 6-2x
-6 -6
-2x = 8
x = -4
Hope this helped! :)
Which expression is equivalent to -6(-2/3+2x)
-4-12x
-4+2x
4-12x
4+12x
find the sum of the first 20 terms 1.5, 1.45, 1.40, 1.35
Answer: 20.5
Step-by-step explanation:
subtract 0.05 from each answer until you get 20 terms then add those terms up