════════ ∘◦❁◦∘ ════════
Answer = 288════════════════════
KnownU1 = 9
r = 2
════════════════════
QuestionU6 = ?
════════════════════
Way to do[tex]un = a(r {)}^{n - 1} [/tex]
[tex]u6= 9(2 {)}^{6 - 1} [/tex]
[tex]u6 = 9( {2}^{5} )[/tex]
[tex]u6 = 9(32)[/tex]
[tex]u6 = 288[/tex]
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Notes• Formula of geometric sequence
[tex]\boxed{\ un = a( {r)}^{n - 1}} [/tex]
• Meaning
Un = nth term
a = 1st term
r = ratio
════════════════════
6. To clean his floors, Larry uses a recipe for a homemade cleaner of 1 part lemon juice, 1 part vinegar,
and 2 parts hot water. If he needs to mix 2 gallons of the cleaner and there are 16 cups in a gallon, how
much of each ingredient does he need?
Find the vertex of the function given below.
y= 2x2 + 4x + 1
Answer:
vertex is (-1,-1)
Step-by-step explanation:
2 ways
1. get into vertex form y=a(x-h)^2+k
2. use math hacks
1.
vertex is (h,k) in y=a(x-h)^2+k
complete square
y=(2x^2+4x)+1
y=2(x^2+2x)+1
y=2(x^2+2x+1-1)+1
y=2((x+1)^2-1)+1
y=2(x+1)^2-2+1
y=2(x+1)^2-1
y=2(x-(-1))^2+(-1)
vertex is (-1,-1)
2.hack way
in form y=ax^2+bx+c
x value of vvertex is -b/2a
given
y=2x^2+4x+1
b=4, a=2
xvaluevertex=-4/(2*2)
xvaluevertex=-4/4=-1
sub back to find y value
y=2(-1)^2+4(-1)+1
y=2(1)-4+1
y=2-4+1
y=-1
y value is -1
Answer:
(-1,-1)
Step-by-step explanation:
To find the x coordinate, we use the formular x = -b/2a where b=4 and a = 2 from the given function.
hence x = -(4)/2(2) = -1
then to get the y coordinate we substitute the value of x into the given function, so y = 2(-1)^2+4(-1)+1 = -1
therefore, the vertex is (-1,-1)
the probability that is from the 60s is
Huhh?? Explain better ols
Find the surface area.
15 m
Answer:
706.858347058
Step-by-step explanation:
equation- 4pi(r)^2
Answer:
15 in2
Step-by-step explanation:
3.14 * 15 m=15 in^2
Describe, in words, how the figure at the right was translated.
Answer:
8 up, 6 left
Step-by-step explanation:
Locate any point from triangle A and go up 8 steps to get on the same level as triangle A'. Then, move to the left 6 steps.
The graph translated 6 unit left and 8 unit upward.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given, A figure "A" that translated at different position in cartesian plane.
Since, A translation is when a geometric figure slides up, down, left or right on the coordinate plane. The figure moves its location, but doesn't change its orientation. It also doesn't change its size or shape.
Thus, we can observe only one point on the figure and calculate the movement of the figure.
Lets focus on the left bottom corner of the figure.
It moves from the coordinates (1, -5) to the coordinates ( -5, 3)
Since Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis
So, we can say it translated to the lefty by 6 unit.
Same it goes with vertical translation.
Therefore, The graph translated 6 unit left and 8 unit upward.
Learn more about coordinates here:
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A srtuv
B srvut
C vrust
D rsvut
Answer:
B. srvut
Step-by-step explanation:
To name a polygon, or any shape, remember that you must name it so that each angle is in order. Basically, do not go from angle s to angle u, and instead go to angle stu or srvu.
Hope this helps :)
Linda walked 1/6 mi to the park and then another 4/9 mi to the cafe. How far did she walk in total?
Answer:
could you show the answers
Step-by-step explanation:
= 1/6 mi + 4/9mi
= 9 + 24
54
=33/54mi
= 9.444444...
One number was divided by 15, followed by this quotient being multiplied by 2. Next, the product was added to 9. The total sum was 7, so what was the first divisor?
7x + 2y=-12
Y=-3x-4
Answer:
x=-4
Step-by-step explanation:
X would be -4 because if you distribute 2 to (-3x-4) it would give you (-6x-8) and then collecting like terms you would get (x-8=-12) then you would add 8 to -12 whih would equal -4.
The sum of two numbers is –11. The difference of the two numbers is –7. What is the product of the two numbers?
Answer:
18
Step-by-step explanation:
According to the numbers the both numbers have to be negative
subtracting a negative will be the same as addition and so thats why the difference is bigger.
now its time for guess and check.
-6+-5
-11
but -6-(-5)=-1
so lets try
-9+(-2)=-11
-9-(-2)=-7
yay
so the product is
(-9)*(-2)=18
What's the circumference of a
circle with a radius of 10 inches?
Use 3.14 for n.
C = [?] inches
Answer:
62.83 inches
Step-by-step explanation:
This video is better than any explanation i can give to help remember how to find the circumference of a circle: https://youtu.be/9WGO7dAxjD8
Can someone help me with this question?
Answer:
x=16
Step-by-step explanation:
A rectangular prism and its dimensions are shown in the diagram.
What is the total surface area of this rectangular prism in square inches?
Answer:
SA=78.5
Step-by-step explanation:
Find the area to all visible sides. 4*2.5=10, 10*2 (because there is two of these shapes) is 20. 4.5*4=18, 18*2=36. Finally, 4.5*2.5=11.25, 11.25*2=22.5.
20+36+22.5=78.5
To win a lottery, 7 numbers are drawn at random from a pool of 63 numbers. Numbers cannot repeat. If a person has one ticket, what is the probability that they have the winning ticket?
Answer:
9%
Step-by-step explanation:
Plot points (3, –8) and (3, 4) on the coordinate plane.
What would be the length of the line segment that connects the points?
Answer:
[tex]\displaystyle d = 12[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, -8)
Point (3, 4)
Step 2: Identify
x₁ = 3, y₁ = -8
x₂ = 3, y₂ = 4
Step 3: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(3-3)^2+(4+8)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract/Add: [tex]\displaystyle d = \sqrt{(0)^2+(12)^2}[/tex][Distance] [√Radical] Evaluate exponent: [tex]\displaystyle d = \sqrt{(12)^2}[/tex][Distance] [√Radical] Evaluate/simplify: [tex]\displaystyle d = 12[/tex]Answer:
12 units
Step-by-step explanation:
Edgenu ity
find the values of x and y
Answer:
x = 79 y = 22
Step-by-step explanation:
x would be the same as the other side so 79 * 2 would be 158. A whole triangle is 180. 180 - 158 = 22
Solve the inequality 3x-9<12
Answer:
x < 7
Step-by-step explanation:
3x - 9 < 12 add 9 for both sides.
3x < 21 divide both sides by 3.
x < 7.
Determine the slope, if it exists, of the graph of the given linear equation
y= - 1.6x + 7
Algebra
Answer:
Step-by-step explanation:
The slope intercept form of a line is
y=mx+b where m=slope and b=y intercept
So the slope of that line is -1.6
Find the value of k if it is known that the line y=kx+2 goes through point: (-7,12)
Answer:
-10/7
Step-by-step explanation:
y=kx+2 (-7, 12)
12=k(-7)+2
12=-7k+2
-7k=12-2
-7k=10
k=10/-7
PLZZZZ HELP ME I WILL GIVE BRAINLEST
Answer:
request payment from a person
Step-by-step explanation:
your welcome
30 points! I will mark brainliest! agenthammerx please help
1. m<C = 48°.
2. <X = <Y.
Explanation :<ABD = <CDB = 62°
<BDA = <DBC = 70°
<DBC + <BCD + <CDB = 180°
70° + <BCD + 62° = 180°
132° + <BCD = 180°
<BCD = 180° - 132°
<BCD = 48°
m<C = 48°
The triangle is a right triangle. If ZX = ZY then <X = <Y
Which graph represents the solution to this inequality? 16x-80x<37+27
Answer:
The answer for this would be B.
How many blocks with dimensions of 3x1x1 can fit in a unit cube?
x
1
2
3
Ο Ο Ο Ο
6
9
Answer:
None
Step-by-step explanation:
None. A unit cube has dimensions 1 by 1 by 1, so it could not contain a rectangle of dimensions 3 by 1 by 1.
Marco is buying Christmas presents for his five family members. He would like to spend less than $175 total. On average, how much can he spend on each person?
Answer:
$35 per person
Step-by-step explanation:
If he is buying for five people, that would just be 175/5 which is 35.
!!!!!! please help!!!!!!!!!!
Answer:
6ft
Step-by-step explanation:
If $25,000 is borrowed with an interest of 8.0% compounded annually, what is the total amount of money needed to pay it
back in 10 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.
Answer: $45,000= Interest
Total= 45,000+ P. P=25000
=70000
Step-by-step explanation:
The total amount of money $53,973 is needed to pay it back in 10 years.
What is compound interest rate?Compound interest is computed as interest on the principle of an account plus any accrued interest.
Compound interest can be calculated using the following formula:
x = P (1+r/n[tex]) ^{nt}[/tex] - P
,where x = compound interest
P = principal (the initial deposit or loan amount)
r = annual interest rate
n = the number of compounding periods per unit of time
t = the number of time units the money is invested or borrowed for
The given principal amount is $25,000.
And an interest of 8.0% compounded annually.
And time period is 10 years and n = 1.
x = 25000 ( 1 + 8/10 )¹⁰ - 2500
x = $53973.12
x = $53,973
Therefore, the total amount of money $53,973 is needed to pay it back in 10 years.
To learn more about the compound interest rate;
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How is 9/12 equivalent to 4/6
Answer:
it's not
Step-by-step explanation:
if you simplify by making the denominators the same (multiplying 9/12 by 6/6 and 4/6 by 12/12), you'll arrive at 54/72 and 48/78. 54 isn't equal to 48
1:the range
2:positive interval
3:increasing interval
4:maximum point
5:domain
6:decreasing intveral
7: negative interval
Step-by-step explanation:
1:the range
2:positive interval
3:increasing interval
4:maximum point
5:domain
6:decreasing intveral
7: negative interval
Answer:
As per the graph we have:
1: the range
[-4, +∞)2: positive interval
(-∞, 1) ∪ (5, +∞)3: increasing interval
(3, +∞)4: maximum point
Undefined5: domain
x = (-∞, +∞)6: decreasing interval
(-∞, 3)7: negative interval
(1, 5)Help please someone
Answer:
60°
Step-by-step explanation:
the relationship between angle RST and its arc TR is:
2m∠(RST)=m(arcTR);
using this formula m∠(RST)=0.5*m(arcTR);
m∠(RST)=60°
Answer:
<S = 60
Step-by-step explanation:
The arc TR and the central angle (T to the center then to R ) are equal.
So the Central angle is 120o
S anywhere on the minor arc is 1/2 the central angle.
<S = 1/2 120
<S = 60
HELP ME NOW BDJSJAHJAHA
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation: