Answer:
The sequence is 2, 4, 8, 16, 32
The next answer is 2
Step-by-step explanation:
The missing terms of the required sequence are 8, 16 and 32 respectively.
What is a geometric sequence?In a geometric sequence, the ratio of two consecutive terms are always equal.
The general expression for the nth term is given as aₙ = a₁ × rⁿ⁻¹ .
The sum of n terms for this sequence is given as Sₙ = (rⁿ - 1)/(r - 1)
The given sequence is 1, 3, 7, 15, 31, 63...
Then, the sequence formed by subtracting the consecutive terms are given as,
3 - 1, 7 - 3, 15 - 7, 31 - 15, 63 - 31 .....
Which can be rewritten as,
2, 4, 8, 16, 32......
It is a geometric sequence as ratio of the consecutive terms are equal,
4/2 = 8/4 = 16/8
Hence, the required sequence is a geometric sequence found as 2, 4, 8, 16, 32......
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What is the midpoint of line segment AB if (-4, 6) and (-6, 8) ?
A (-5,7)
B(-1,1)
C (5,7)
D (1,1)
Answer:
A
Step-by-step explanation:
Midpoint Formula: ( (x_1 + x_2)/2 , (y_1 + y_2)/2)
((-4 + -6)/2 , (6 + 8)/2)
((-10)/2 , (14)/2)
(-5, 7)
1) plot the point with coordinates (3,2) label this point A
b) write down the coordinates of the midpoint of BC
sketch graphs of these three quadratic relations on the same set of axes.
a) y=x^2 + 8
b) y= x^2 - 5
c) y= x^2 - 10
trigonometry please help! work need to be shown
Answer:
6.13
Step-by-step explanation:
This diagram shown is a right triangle;
USing the SOH CAH TOA idenity
Adjacent = x
Hypotenuse = 8
Angle of elevation = 40 degrees
cos theta = adj/hyp
cos 40 = x/8
x = 8cos40
x = 6.13
Hence the value of x to the nearest hundredth is 6.13
Which statement is true about the purpose of trend lines in scatterplots? A trend line must pass through the largest data point. A trend line must pass through the smallest data point. A trend line can be used to make predictions in real-world situations. A trend line shows the exact data points collected.
Answer:
a trend line can be used to make predictions in real-world situations (the third option)
Explanation:
the first & second options are wrong because it is not a requirement for a trend line to pass through any given data point.
the fourth option is wrong because a trend line shows the general upward/downward trend of the data, and may not necessarily touch all of the data points.
the third option is correct because a trend line helps to roughly estimate the trend (hence the name) of the graph, which allows us to make predictions in real-world situations.
i hope this helps! :D
Answer:
C just took the test edge 2020
Step-by-step explanation:
Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. How much money did she save????
Given:
Normal price of a tv = $200
Coupon = 25% off
To find:
The money saved by Katherine.
Solution:
Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. It means, the money saved by Katherine is 25% of normal price of tv, i.e., $200.
[tex]Saving=25\%\text{ of }200[/tex]
[tex]Saving=\dfrac{25}{100}\times 200[/tex]
[tex]Saving=25\times 2[/tex]
[tex]Saving=50[/tex]
Therefore, the money saved by Katherine is $50.
2x + 3 = -7 what is x
Answer: x=-5
Step-by-step explanation:
You would have to do the inverse to “undo” the equation.
So first you would do -7-3=-10
Then you would do -10/2=-5 to find x
28 people in 4 rooms: 63 people in 9 rooms. Are these ratios proportional?
the ratios are ratio proportional
what do u do when your teacher comments this in a assighnment?."I can't accept this. It is clear that you copied and pasted from the internet. I will give you another chance to do it correctly - using your own thoughts, not the internet." T_T my teacher found out ......:((
Answer:
Deny. Deny. Deny.
Step-by-step explanation:
Say how crazy the similarities are but you genuinely wrote what came to mind and you did not even look up the topic online. If that fails just grovel and come up with a sob story so they are no so harsh. Hope this helps <3
What is the inverse of the function below?
F(X)=x/4-2
A. F-^1(X)=2(X-4)
B. F-^1(X)=4(X-2)
C. F-^1(X)=4(X+2)
D. F-^1(X)=2(x+4)
Answer:
could be C ..............
please give the answer fast
Step-by-step explanation:
my personal opinion is that the answer is 20
If a=3 and b=7, find the value of
5a
Answer: 15
Step-by-step explanation: All the information you need is a=3
5a is the same as saying 5xa or 5x3, so there you have it- 15
Hope this helps <3
Evaluate the following expression when x = -2 y = 3 z = - 4
Answer:
x=-4
y= 2
z= -4/3
Step-by-step explanation:
x= -4 (directly)
-2y = -4
or, y = -4/-2
y =2
3z= -4
z= -4/3
Please help me with this
Answer:the answer would also be 20 degrees
Step-by-step explanation:
because its exaclty across from the angle!!!!!
Answer:
20 degrees
Step-by-step explanation
they are opposite angles
Give the quotient in simplest form:
Answer:
x
Step-by-step explanation:
x/y / 1/y =
x / 1 x y / y =
x / 1 x 1 =
x
Hope that helps!
-Sabrina
Enter 14% as a fraction in simplest form.
Answer:
0.14 or 7/50
Step-by-step explanation:
Joanne paid $28,000 for her new car. In addition, she paid $1,400 in taxes. What was the tax rate Joanne paid on her new car
Answer:
5%
Step-by-step explanation:
1400/28000=0.05
Test
5%*$28,000=$1400
Line R is represented by the equation y=x+2. Line S is perpendicular to Line R and passes through
the point (-60). What is the equation for Lines?
Answer:
C
Show your work:
A perpendicular line has a negative reciprocal slope so 2/3 becomes -3/2, then substitute your point (-6,4) and you get letter C
I used your picture since your Question does not match the picture.
The radius of a circle is 4 centimeters. What is the area of a sector bounded by a 135 degrees arc?
Answer:
The answer is 0.235619449 rad m.
I need help asap please
On a local swim team 6 members each swam 1,685 meters during the season. How many total kilometers did the 6 members swim during the season
Answer:6 members swam 10.11Km during the season
Step-by-step explanation:
Number of members = 6
meters swam by each of the 6 members = 1,685 meters
Total meters swam by the 6 members during the season
= 1,685 meters X 6
=10,110 meters
But 1000m =1km
10,110 m =10.11Km
Can I please get help!!
Just answer the questions please
pls help. thank you!!!!
Answer:
where is the question plsss tell
and send me ok
You can buy 3 CDs for $36.00. Assuming these rates are proportional, what would be the cost of 5 CDs?
Answer:
$60
Step-by-step explanation:
36 / 3 = $12 for a single CD
12 * 5 = $60 for 5 CDs
Which expression has the greatest value?
Answer:
the last one
Step-by-step explanation:
[tex]\sqrt[3]{64}[/tex] and [tex]16^{3/2}[/tex] expressions have the greatest value.
What is square root and cube root of a number?
Square root of a number results a number that when square, gives us the previous number.
Similarly, cube root of a number results a number that when cubed, gives us the previous number.
Here, [tex]\sqrt[3]{64}[/tex]² = ∛(64 × 64) = ∛(8 × 8 × 8 × 8 × 8 × 8) = 8 × 8 = 64
[tex]16^{3/2}[/tex] = 4³ = 64
[tex]\sqrt[3]{8^{4} }[/tex] = ∛(8 × 8 × 8 × 8) = ∛(64 × 64) = ∛(4 × 4 × 4 × 4 × 4 × 4) = 4 × 4 = 16
√(16²) = √(16 × 16) = 16
Therefore, [tex]\sqrt[3]{64}[/tex]² and [tex]16^{3/2}[/tex] have the greatest value.
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What is the area of a rectangular shaped yard enclosed by a fence that is 35 feet along the North side and 20 feet along the west side?
Answer:
700 ft
Step-by-step explanation:
35ft x 20ft = 700ft
Add. Enter a number only as your answer in the space provided. -4/5 + 4/5
Answer:
0
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
-4/5+4/5=0
Answer:
0
Step-by-step explanation:
if u add a number and its opposite its ans will be zero
Can someone help me pleaseee. Alguien podría ayudarme porfavor
What is the equation of a line with a slope of 2 and a y intercept of -5?
Answer:
y=2x-5
Step-by-step explanation:
The slope is how you move so you could also call it m
The y intercept is where you begin so you could call it b
So every time you need to find the equation or which one is like the slope just remember m=move b= begin
y=mx+b
one Sunday, number of visitors of a zoo was 840. on Monday, the number of visitors is decreased to 420, by what percentage was it decreased ?
Answer:
half or 50%
Step-by-step explanation:
