What is the tenth term of the sequence described by the following f1 = -2, tn =3tn-1
Answer:
The 10th term will be:
t₁₀ = 39366
Step-by-step explanation:
Given the sequence
tₙ = -3 tₙ₋₁
Given
t₁ = -2
substitute n = 2, to determine the 2nd term
tₙ = -3 tₙ₋₁
t₂ = -3 tₙ₋₁
t₂ = -3 t₂₋₁
t₂ = -3 t₁
t₂ = -3 × -2 ∵ t₁ = -2
t₂ = 6
substitute n = 3, to determine the 3rd term
tₙ = -3 tₙ₋₁
t₃ = -3 t₃₋₁
t₃ = -3 t₂
t₃ = -3 × 6 ∵ t₂ = 6
t₃ = -18
substitute n = 4, to determine the 4th term
tₙ = -3 tₙ₋₁
t₄ = -3 t₄₋₁
t₄ = -3 t₃
t₄ = -3 × -18 ∵ t₃ = -18
t₄ = 54
substitute n = 5, to determine the 5th term
tₙ = -3 tₙ₋₁
t₅ = -3 t₅₋₁
t₅ = -3 t₄
t₅ = -3 × 54 ∵ t₄ = 54
t₅ = -162
substitute n = 6, to determine the 6th term
tₙ = -3 tₙ₋₁
t₆ = -3 t₆₋₁
t₆ = -3 t₅
t₆ = -3 × -162 ∵ t₅ = -162
t₆ = 486
substitute n = 7, to determine the 7th term
tₙ = -3 tₙ₋₁
t₇ = -3 t₇₋₁
t₇ = -3 t₆
t₇ = -3 × 486 ∵ t₆ = 486
t₇ = -1458
substitute n = 8, to determine the 8th term
tₙ = -3 tₙ₋₁
t₈ = -3 t₈₋₁
t₈ = -3 t₇
t₈ = -3 × -1458 ∵ t₇ = -1458
t₈ = 4374
substitute n = 9, to determine the 9th term
tₙ = -3 tₙ₋₁
t₉ = -3 t₉₋₁
t₉ = -3 t₈
t₉ = -3 × 4374 ∵ t₈ = 4374
t₉ = -13122
substitute n = 10, to determine the 10th term
tₙ = -3 tₙ₋₁
t₁₀ = -3 t₁₀₋₁
t₁₀ = -3 t₉
t₁₀ = -3 × -13122 ∵ t₉ = -13122
t₁₀ = 39366
Therefore, the 10th term will be:
t₁₀ = 39366
Can someone help on a) please! Its due soon :(
Step-by-step explanation:
9.94 => 10 (1s.f.)
29.7 => 30 (1s.f.)
Hence we estimate the value of 9.94² * 29.7
as 10² * 30 = 3,000.
Answer:
Well the estimate answer could be 293.54291
Step-by-step explanation:
But the real answer is 293.54292
Hope this helped :)
A circle has a diameter of 3 meters. Which statement about the circumference and area is true?
A.) A comparison of the area and circumference is not possible since the area cannot be determined.
B.) The numerical value of the circumference and area are equal.
C.) The numerical value of the circumference is greater than the numerical value of the area.
D.) The numerical value of the circumference is less than the numerical value of the area.
Test is on edge 2020
Answer:
C
Step-by-step explanation:
circumference is pi times diameter
pi times 3 is 9.42
area is pi times radius squared
radius is 1.5
1.5^2 is 2.25
pi times 2.25 is 7.06
the length of a model ship is 8 in. its actual length is 100 ft. what is the scale of the model?
Answer:
= 2/25 2 in 25 ft
Step-by-step explanation:
The two lines y = 4x+5 and y = 4x – 2 are parallel because their slopes are equal (both equal to 4). What
happens when you try to algebraically solve for their intersection point?
Answer:
When solving, you will get a false statement, and therefore there is no solution.
Step-by-step explanation:
Let's try to solve the system of equations. In this case, I used the substitution method and substituted 4x + 5 for the y in y = 4x-2:
[tex]4x + 5 = 4x - 2\\5 = -2[/tex]
In trying to combine the terms with the variable x, the 4x on both sides canceled themselves out, leaving me with 5 = -2. That is a false statement, as 5 does not equal -2. Therefore, since we cannot reach a solution, there is none.
two lines y = 4x+5 and y = 4x – 2 are parallel, then there is no intersection point.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Given wo lines are y = 4x+5 and y = 4x – 2
These two lines are parallel because there slope is 4 for both.
Let us solve these two equations algebraically to find out intersection point.
4x+5=4x-2
5=-2
Since 4x is cancelled on both sides and has no x variable means there is no intersection point.
Hence for two lines y = 4x+5 and y = 4x – 2 are parallel, then there is no intersection point.
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
What is the answer for X?
Answer: I think it’s 14
Step-by-step explanation:
Answer:
x=8
Step-by-step explanation:
Alright so those to angles are complemntary meaning that when they are added together it will equal 90. So first you wanna set up an equation which would be 90 = 40+6x+2. Then you combine like terms and end up with 90=42+6x. Next you wanna subtract each side by 42 and now you have 48=6x. finally you divide each side by 6 and get x = 8
The measure of an ____ angle of a tringle is equal to the sum of the measures of its remote interior angles
Answer:
Exterior.
Step-by-step explanation:
A triangle has three sides. According to the theorem of exterior angles, the sum of two opposite interior angles is equal to the exterior angle of the triangle.
The sum of angle of triangle is equal to 180 degrees.
ATQ,
The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
(GIVING BRAINLIEST!!)
Which future U.S. president wrote the document that acted as the model for the U.S. Constitution?
A) George Washington
B) James Madison
C) John Adams
D) Thomas Jefferson
Answer: B) James Madison
Step-by-step explanation:
*
0
1
3
4
1
2
3.
4
4
ER
ole
8
5 6
Table 1
9
1 4
Table 2
16
Identify the table that represents a linear function.
x
H
0
1
3
4.
x
1
2
3
4
f(x)
0
-1
0
2
18
32
f)
8
15
0 3
Table 4
Table 3
Answer:
• The closing of the frontier• The closing of the frontier
Step-by-step explanation:
• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier
Find the perimeter of the figure if the following
is true:
a = x2
b = 4x + 8
C= 2x2
d = x
Answer:
3x^2+5x+8
Step-by-step explanation:
the perimeter is the sum of the sides
p=a+b+c+d
p=x^2+4x+8+2x^2+x
p=3x^2+5x+8
Select all number that are prime PLZ HELP
Answer:
A. 29 Is the prime number.
hOpe it is helpful :)
Last question before class ends. Will give 20pts for help!
Answer:
k = 8.5
a = 26
Step-by-step explanation:
triangle DEF is dilated by 2 of triangle PQR
so 13 x 2 is 26
and 17/2 is 8.5
Answer:
K is 9 and A is 7 im not sure if im right or not.
step-by-step explanation:
Solve for y.
10/9 =5y
Answer:
y = 2/9
Step-by-step explanation:
A balloon is floating above a lake and a sunken canoe is below the surface of the lake. The balloon's vertical position is 12 meters and the canoe's is -4.8 meters. The equation: 12+d=-4.812 + d = − 4.8 represents this situation. What does the variable d represent? (distance or difference) What value of d makes the equation true?
Answer:
d represents distance
d = -16.8
Step-by-step explanation:
From the question, we are to find the vale of d from the expression
12+d = -4.8
Subtract 12 from both sides
12+d-12 = -4.8-12
d = -4.8-12
d = -16.8
Hence the value of d that makes two equation true is 16.8
d represents distance
d represents distance
d = -16.8
Calculation:12+d = -4.8
Here we have to do Subtract 12 from both sides12+d-12 = -4.8-12
d = -4.8-12
d = -16.8
Learn more about the surface here: https://brainly.com/question/1569007?referrer=searchResults
A farmer knows that a crop she is growing requires 24 kg of fertilizer throughout the season. She has a measuring flask which when filled twice makes 1 kg of fertilizer. At this rate, how many times does she need to fill the flask to make the required amount of fertilizer for the crop?
Answer:
48 times
Step-by-step explanation:
From the above question, we know that:
2 times = 1 kg of fertilizer
A crop requires 24 kg of fertilizer
Hence:
1 kg of fertilizer = 2 times
24 kg of fertilizer = x
Cross Multiply
x = 24 kg × 2 times/1 kg
x = 48 times
She need to fill the flask 48 times to make the required amount of fertilizer for the crop
helphelphelphelphelphelphelphelphelphelp
Answer:
u=-6
Step-by-step explanation:
Answer: u = -6
Step-by-step explanation:
first, we move the terms.
5u - 9u = 30 - 6
then, i collected the like terms and calculated them.
-4u = 24
then, i simply divided both sides.
u = -6
Sequence of {4-1/6n}
a.)arithmetic
b.)geometric
c.)neither
Help ASAP please
BRAINLEST AND THANKS
Answer:
It's arithmetic
Step-by-step explanation:
For n=0 you got 4
For n=1 you got 4-1/6
For the next element the value will be the current element minus 1/6
Translate this phrase into an algebraic expression.
10 more than twice Goran's height
Use the variable g to represent Goran's height.
2g+10
twice the height is 2g, then add 10
Answer:
2g + 10
Step-by-step explanation:
what is the measure of angle X?
•100 degrees
•130 degrees
•135 degrees
•150 degrees
picture added. y
Answer:
130°
Step-by-step explanation:
Angle 50° underneath is the same as the missing angle next to x.
In a straight line , angles add up 180°. So 180°-50° gives 130°
I hope this helped you out.
Please can I have brainliest, thank my answer and rate it 5. :)
What is 12x-3+2x+13 equivalent to
Answer:
2(7x+5)
Step-by-step explanation:
Answer:
14x+10
Step-by-step explanation:
12x-3+2x+13
12x+2x+10
14x+10
Help me pls pls pls pls
Answer:
.15
Step-by-step explanation:
First set up your equation
The equation would be 5 times .03
5 times .03 equals .15
Ali and Bruno both run the 400 meter dash for their track team. Their coach frequently records their finishing times (in seconds), which are summarized in the table below.
Mean Standard deviation
Ali \mu_A=59μ
A
=59mu, start subscript, A, end subscript, equals, 59 \sigma_A=4.8σ
A
=4.8sigma, start subscript, A, end subscript, equals, 4, point, 8
Bruno \mu_B=50μ
B
=50mu, start subscript, B, end subscript, equals, 50 \sigma_B=3.6σ
B
=3.6sigma, start subscript, B, end subscript, equals, 3, point, 6
Both distributions are approximately normal. Suppose we choose a random 400 meter race and calculate the difference between their times. It's reasonable to assume that their times are independent.
Find the probability that the Ali's finishing time is faster than Bruno's.
You may round your answer to two decimal places.
P\left(\text{Ali faster}\right)\approx
Answer:
.07
Step-by-step explanation:
5. Each dimensional analysis problem has taken you 1.5 minutes to complete. How many dimensional analysis problems could you complete in 6 weeks of Chemistry class?
Step-by-step explanation:
So we're trying to get from minutes to weeks. The time intervals in question are:
Minutes -> Hours -> Days -> Weeks
So we set up our dimensional analysis. We're solving for amount of problems, so that goes in the numerator of the first fraction:
[tex]\frac{1problem}{1.5min}[/tex]
Now we want to know how many minutes in an hour, so we multiply by the next fraction:
[tex]\frac{1problem}{1.5min} * \frac{60min}{1hr}[/tex]
After that, we want to know how many hours in a day:
[tex]\frac{1problem}{1.5min} * \frac{60min}{1hr} * \frac{24hr}{1d}[/tex]
and how many days in one week:
[tex]\frac{1problem}{1.5min} * \frac{60min}{1hr} * \frac{24hr}{1d} * \frac{7d}{1w}[/tex]
To solve the dimensional analysis problem, we multiply across the top of the entire expression, then divide across the bottom. So:
1 * 60 * 24 * 7 = 10,080
And then divide that by the bottom:
10,080 / 1.5 / 1 / 1 / 1 = 6,720
So you can solve 6,720 problems in one week. Multiply that by six and we get your answer:
40,320 dimensional analysis problems can be completed in 6 weeks of Chemistry class.
Helpppppp plssssssssss
Answer
I dont know
Step-by-step explanation:
I would love to help but I have no clue
Answer:
slope = 12/7
Step-by-step explanation:
y2 - y1 / x2 - x1 = slope
slope = 4-(-8)/0-(-7)
slope = 12/7
What is the y-value of the solution to the system of
equations: y = x - 6 and y = -4 ? Just write the number for
your answer.
Answer:
x=2
Step-by-step explanation:
-4 = x-6
-4+6 = 2
x=2
CHECK:
2-6 = -4
Perform the following calculation using the appropriate significant figure rules. 29.5 x 0.0340 + 29.5 x 0.0340 = ?
Today there is a 90% chance of rain, a 30% chance of thunderstorms, and a 25% chance of rain and thunderstorms together.
Are the two events "rain today" and "thunderstorms today" independent events?
Since (0.9)×(0.3) is -BLANK- 0.25, then the two events -BLANK- independent.
BLANK 1: Greater Than, Less Than, Equal To.
BLANK 2: Are, Are Not.
Answer:
less than, are not
Step-by-step explanation:
n/a
Answer:
Greater than, are not
Step-by-step explanation:
An oatmeal container has a diameter of 9 inches and a volume of 239.4 in3. What is the lateral surface area of the oatmeal container? Hint: You have to use the Volume to find the height before you can calculate the lateral surface area. Round your answer to the nearest tenth.
Answer:
Lateral surface area = 106.4 [tex]in^{2}[/tex].
Step-by-step explanation:
Assumed that the oatmeal container has the shape of a cylinder. Its lateral surface area can be determined by:
lateral surface area = 2[tex]\pi[/tex]rh
But,
volume = [tex]\pi[/tex][tex]r^{2}[/tex]h
where: r is the radius, and h is the height.
From the question, volume = 239.4 [tex]in^{3}[/tex], and diameter = 9 inches, then;
radius = [tex]\frac{diameter}{2}[/tex] = [tex]\frac{9}{2}[/tex]
= 4.5
radius = 4.5 inches
Thus,
volume = [tex]\pi[/tex][tex]r^{2}[/tex]h
239.4 = [tex]\pi[/tex]x [tex](4.5)^{2}[/tex] x h
= 20.25[tex]\pi[/tex]h
h = [tex]\frac{239.4}{20.25\pi }[/tex]
= [tex]\frac{11.8222}{\pi }[/tex]
h = [tex]\frac{11.8222}{\pi }[/tex] inches
Therefore,
lateral surface area = 2[tex]\pi[/tex]rh
= 2[tex]\pi[/tex](4.5)([tex]\frac{11.8222}{\pi }[/tex])
= 2 x 4.5 x 11.8222
= 106.3998
Lateral surface area of the oatmeal container is 106.4 [tex]in^{2}[/tex].
Find the area of rectangle ABCD.
20
10 √2+ √82
24
12
Answer:
12 units²
Step-by-step explanation:
AB = [tex]\sqrt{(x_{2} -x_{1})^2 +(y_{2} -y_{1})^2 }[/tex] = [tex]\sqrt{(0-3)^2 +(0-3)^2}[/tex] = 3√2
BC = [tex]\sqrt{(5-3)^2 +(1-3)^2}[/tex] = 2√2
[tex]A_{ABCD}[/tex] = AB × BC = 3√2 × 2√2 = 12 units²
Answer:
So I did the assignment, and the answer that you're looking for in this problem would be 12.
An airplane flies with a constant speed of 700 miles per hour. How far can it travel in 2 hours?
Answer:
1400
Step-by-step explanation:
700 x 2 is 1400
So just multiply 700 times 2 and there's your answer
Answer:
1400 miles
Step-by-step explanation:
1 hour------ 700 miles
2 hours---- X
X= 700 x 2
X= 1400