Input the values into the formula below
to find the 8th term in the sequence.
1
-1, 4, -16,...
4)
Ist term • common ratioſdesired term - 1)
[?] •[ ][ - 1)
Answers
Answer:
The 8th term = -4,096
Step-by-step explanation:
Given:
¼, -1, 4, -16, . . .
Required:
8th term of the sequence
Solution:
1st term = ¼
Common ratio = -1/¼ = 4/-1 = -16/4 = -4
Desired term = 8
Plug in the values into the formula given:
[tex] \frac{1}{4} * -4^{(8 - 1)} [/tex]
[tex] \frac{1}{4} * -4^{7} [/tex]
[tex] \frac{1}{4} * -16,384 [/tex]
[tex] \frac{-16,384}{4} [/tex]
= -4,096
Related Questions
Grant started a marathon at 8:00 am. He took 4 hours 49 minutes to complete the marathon. When did he cross the finish line
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Factor the expression.
20b + 35 =
(Factor completely.)
Answers
Answer:
I think it would be 5(4b+7)
Step-by-step explanation:
I divided both terms by 5.
Find the area of the following figure: 11in 10in
Answers
Answer:
(no simplification) = 55 + (25[tex]\pi[/tex]/2) in^2
(with simplification) = (110 + 25[tex]\pi[/tex])/2 in^2
(with pi rounded to 3.14) = 94.25 in^2
Step-by-step explanation:
Let's start with the easier shape, the triangle. The formula for area of a triangle is 1/2(base)(height). Since at the far right we have 10 in, we can apply that to the triangle to get the base = 10 inches. The height is given as 11 inches so we can then calculate the area which is 55 in^2.
Then, the circle. We know that area of a whole circle = [tex]\pi r^{2}[/tex]. Since we know that a semicircle is 1/2 of a full circle, we can find the area of the entire circle then divide it by 2.
It gives the diameter as 10, divide that by 2 to get the radius. r=5. Plug 5 into the equation of [tex]\pi r^{2}[/tex] and you get 25[tex]\pi[/tex]. Divide that by 2 to get 25[tex]\pi[/tex]/2.
Add the triangle and the semicircle areas.
(no simplification) = 55 + (25[tex]\pi[/tex]/2) in^2
(with simplification) = (110 + 25[tex]\pi[/tex])/2 in^2
(with pi rounded to 3.14) = 94.25 in^2
I need help with solving this equation.
Answers
Answer:
66 m².
Step-by-step explanation:
From the question given above, the following data were obtained:
Diagonal 1 (d₁) = 11 m
Diagonal 2 (d₂) = 12 m
Area (A) =?
The area of a rhombus when the diagonals are given can be obtained as follow:
A = ½(d₁d₂)
A = ½ × (11 × 12)
A = ½ × 132
A = 66 m²
Thus, the area of the rhombus is 66 m²
Select all numbers that have an absolute value of 4.
Answers
Answer: 4 and -4
Step-by-step explanation: There isn't an actual explanation I can give for this answer, it is based on technical meaning.
Answer: 4 & -4
Absolute (denoted by the vertical bars) means that everything between them is converted to non-negative. So |−4|=4 and so is |4|=4 .
Step-by-step explanation:
Help with translations!
Answers
Given:
The figure of a trapezoid.
The figure is translated down 5 units and then rotated 180 degrees clockwise.
To find:
The coordinates of the image of point W after these transformation.
Solution:
From the given figure it is clear that the coordinates of point W are (-6,3).
The figure is translated down 5 units. So,
[tex](x,y)\to (x,y-5)[/tex]
[tex]W(-6,3)\to W'(-6,3-5)[/tex]
[tex]W(-6,3)\to W'(-6,-2)[/tex]
After that the figure is rotated 180 degrees clockwise.
[tex](x,y)\to (-x,-y)[/tex]
[tex]W'(-6,-2)\to W''(6,2)[/tex]
Therefore, the coordinates of point W after the given transformations are (6,2).
Brainliest for correct answer
Answers
A building 240 feet tall casts a 40 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)? (Assume the person's eyes are 4 feet above ground level.)
Answers
9514 1404 393
Answer:
80.38°
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
The person is standing 40 ft from the building. The point they're looking at is 236 ft above their eyes. So the angle α is found from ...
tan(α) = 236/40
α = arctan(236/40) ≈ 80.38°
What is the volume of the square pyramid
Answers
Answer:
V≈2933.33
Step-by-step explanation:
(explanation in picture)
Please brainliest!
combine like terms !-3r - 5 + 2r - 3r - 2s
HELP ASAP
Answers
3r + 2r - 3r = 2r
2s and 5 cannot combine because they don’t have the same variable after the number
Answer: 2r + 5 + 2s
Finding missing angles
180°
35°
X
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Answer:
90 degree and 55 degree
plz mark me as brainliest
What's the slop of the line with the two points 3,2 and 7,9
Answers
 Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.
What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?
A. 4
B. -4
C. -6
D. 6
Answers
Answer:
D. 6Step-by-step explanation:
M is midpoint of LP and N is midpoint of MP
Use midpoint formula:
x = (x₁ + x₂)/2Find x-coordinate of M:
x = (-3 + 9)/2 = 3Find x-coordinate of N:
x = (3 + 9)/2 = 6Correct choice is D
Find the Mode:
88, 82, 81, 89, 77, 95
89, 90, 81, 75
Answers
Answer:
81 is the mode
Step-by-step explanation:
THe mode is the number ina. Set of data that appears the most. In this case, 81 appears twice while all the other numbers only appeared once. So 81 in this case is the mode.
AABC is isosceles.
MZA = 48° and mZB = 4x + 4.
A
B
x= [?]
Answers
Andrew randomly selects a number from 1-15. What is the probability that the number he selects is an even number?
Answers
Answer:
7/15
Step-by-step explanation:
Probability= Number of even numbers / Total numbers
There are 7 even numbers between 1 and 15
P = 7/15
Please help
here the question
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account.
A)
Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks.
I ALREADY SOLVED A BUT I NEED HELP WITH C
B) Rosalina wants to save $700 for the new smart tv write and equation to determine how many weeks (x) it will take for rosalina to have enough money to purchase her new tv
C) using your equation from b will rosalina have enough money for her new tv in four weeks?
also) how would the equation change if rosalina stopped working wasn't able to deposit $40 and had to instead withdraw $40 a week? Which part of your equation would change?
please help!
THANK YOU!!
Answers
Answer:
Let M represent the amout at any time.
She saves $40 per week so total amount becomes 40x in any specified week.
where x is the number of weeks.
In the start she has $500 in her bank account so we 'll add this amount into the savings per week. So expression becomes
M = 40x+500
Simply put number of week in place of x and find the total amount.
Step-by-step explanation:
Answer:
for c it is no
Step-by-step explanation:
it is no because she deposits 40 a week, in 4 weeks she deposits 40x4=160, which is nowhere close to the 700 she needs. Even if you count the 500 in her account it is still no since it would total up to 660, not 700
PLS ANSWER PLS DUE TODAY
Answers
Answer:
radius of semi circle is 16mm.
diameter of semi circle is 32mm.
perimeter of triangle=sum of all sides.
perimeter of triangle = 20mm+20mm+32mm
perimeter of triangle =72mm
perimeter of semi circle=pi×r
perimeter of semicircle = 3.14×16mm
perimeter of semicircle =50.24mm
perimeter of the figure= 72mm+50.24mm=122.24mm
13. Reasoning In 2016, the world's oldest
tree was 5,066 years old. Write the
number that is one hundred more using
number names?
Answers
Answer:
five thousand, one hundred and sixty six years old.
Step-by-step explanation:
A cylinder has a height of 10 centimeters. It's volume is 5306.6 cubic centimeters. What is the radius of the cylinder
Answers
Answer: 13
Step-by-step explanation: r=V
πh=5306.6
π·10≈12.9967
Which TWO expressions can be used to represent the tiles shown here?
Answers
Answer:
4(2a + b)
and
8a + 4b
Step-by-step explanation:
Hope this helped :)
Step-by-step explanation:
8a+4b
4(2a+b)
hope this helps
An ice company has y lbs of ice in stock. The company sells 500 lbs of ice and then receives a new shipment of 5x lbs of ice. Which expression represents the
weight of ice the ice company has now?
Answers
Answer:
yes
Step-by-step explanation:
no sabo
15 POINTS
Consider the line in the coordinate plane that passes through the point (-7, -3) and the origin. Find the slope of a line perpendicular to the line described.
A) - 1, 3
B) - 3, 7
C) - 7, 3
D) 3, 7
Answers
Answer:
C. -7/3Step-by-step explanation:
The slope of the line that passes through points (0, 0) and (-7, -3) is:
m = (y₂ - y₁)/(x₂ - x₁) m = (-3 - 0)/(-7 - 0) = 3/7Perpendicular lines have opposite-reciprocal slopes:
-1 / (3/7) = - 7/3Correct choice is C
The incomes in a certain large population of college teachers have a normal distribution with a mean $75,000 and standard deviation $10,000. 16 teachers are selected at random from this population to serve on a committee. What is the probability that their average salary is more than $77,500?
Answers
Answer:
The probability that their average salary;
standard error
= 10,000/sqrt(16)
=10,000/4
= 2500
(77,500 - 75000)/2500
2,500/2500
= 1
p (z > 1) = .1587
So, the probability that their average salary is more than $77,500 is 0.1587
Step-by-step explanation:
Look at the pattern below. Which fraction would complete the pattern?
1/4, 2/8, ___, 4/12.
answer
A. 3/12
B. 3/14
C. 3/9
D. 3/15
Answers
The answer is: A. 3/12
Name:
L153
Mean Absolute Deviation
Find the mean absolute deviation of each set of data. Round your answer to two decimal
places.
1) 61, 87, 46, 79,53, 46
2) 9, 2, 1, 3
Absolute
Absolute
Data Mean Difference
Data Mean
Value
Difference
Value
Answers
Answer:
amen
Step-by-step explanation:
amen you shall pass
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
7 x - 9 + 11 x - 9 = 180
Step-by-step explanation:
For the equation: 7 x - 9 + 11 x - 9 = 180
Value of X is 11
7x - 9 + 11x - 9 = 180
combine values
18x - 18 = 180
18x = 198
18x/18 = 198/18
x = 11
Angle Measures is
7 (11) - 9 = 77-9 = 68 degrees
11 (11) - 9 = 112 degrees
what is the measurements of the circle?
Answers
Answer:
what is the circle
○ YW 42
78+42+xw=180
xw=60
The manager of a restaurant recorded how many people are in different groups of customers and how much does group spent on food and beverages. The scatterplot below shows the date if she recorded. Based on this scatterplot, about how much money would a group of 10 people be expected to spend on food and beverages at this restaurant?
Answers
Answer:
$135
Step-by-step explanation:
Identify the graph of the equation (x+3)2+(y+1)2=9
Answers
The resulting graph is a circle with center at (-3,-1) and radius 3.
The graph of the equation (x+3)²+(y+1)²=9
is a circle with center at (-3,-1) and radius 3. The equation of a circle with center (a,b) and radius r is given by the equation (x-a)² + (y-b)² = r². By comparing the given equation with the standard equation of a circle, we can easily see that the center of the circle is (-3,-1) and the radius is 3. To graph a circle, we need to first plot the center of the circle, which is (-3,-1) in this case. Next, we need to mark the radius of the circle, which is 3 units. We can do this by measuring 3 units from the center in any direction and marking the point. Since the radius of the circle is the same in all directions, we can repeat this process for other directions to get points on the circumference of the circle. We can use a compass to make this process easier. After plotting a sufficient number of points, we can draw a smooth curve passing through all the points to obtain the graph of the circle.
For more question graph
https://brainly.com/question/5504986
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