Answer:
The next 3 terms from the geometric sequence below.
3
2
,
1
,
0
1
2
,
3
.
Step-by-step explanation:
The next 3 terms of the geometric sequence are [tex]\frac{1}{4} , -\frac{1}{8}, \frac{1}{16}[/tex].
What is a Geometric Sequence?'A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.'
According to the given problem,
The terms are, -2 , 1 , - [tex]\frac{1}{2}[/tex] ....
Now, geometric sequence means that there is a common ratio between the numbers in the sequence.
Common ratio can also be denoted as r.
so, from -2, the next term is -2 × r and the one after this is -2 × r × r and so on.
If we compare, -2 × - [tex]\frac{1}{2}[/tex] = 1
1 × -[tex]\frac{1}{2}[/tex] = -[tex]\frac{1}{2}[/tex]
-[tex]\frac{1}{2}[/tex] × -[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex] × -[tex]\frac{1}{2}[/tex] = -[tex]\frac{1}{8}[/tex]
-[tex]\frac{1}{8}[/tex] × -[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{16}[/tex]
Hence, we can conclude that the next three terms are, [tex]\frac{1}{4}[/tex] , -[tex]\frac{1}{8}[/tex] , [tex]\frac{1}{16}[/tex].
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Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree. EXPLAIN HOW TO GET YOUR ANSWER PLEASE!
It's 87 feet I got the answer right
The height of the tree is estimated as 87 ft.
The height of the tree can be estimated using trigonometric ratios. Therefore,
tan 44° = opposite / adjacent
tan 44° = h / 90
h = 90 tan 44°
h = 90 × 0.9656887748
h = 86.9119897326
h ≈ 87 ft
Therefore, the height of the tree is estimated as 87 ft.
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A student is able to finish 2 homework problems per hour. If they have already completed 4 problems, how many hours will it take for them to finish an assignment which has 18 problems total? Give your answer to two decimal places.
Answer:
Step-by-step explanation:
4+2t=18
2t=14
t=7 hours
Answer:
7.00 hours
Step-by-step explanation:
They already did 4 problems and need to do 18 problems in total.
18 - 4 = 14 problems
2 problems/ per hour
14 problems/ 7 hours
It will take them 7 hours to finish. Since you said "Give your answer to two decimal places." You could write it as 7.00 hours.
Identify the pair of angles as complementary, supplementary, or neither.
PLEASE HELP
Answer:
supplementary
Step-by-step explanation:
135 + 45 = 180
supplementary angle ALWAYS add up to 180.
How do I solve this 8x+3y-x-2y
Answer:
7x+y
Step-by-step explanation:
1. collect like terms: x terms and y terms
2. solve for each terms: 8x -x= 7x. +3y-2y= 1y(which can be written as y).
your answer is 7x+y
Answer:
8x+3y-x-2y
Step-by-step explanation:
8x-x+3y-2y.......like terms
7x+1y
2 One six-sided die and one sixteen-sided die are rolled. What is the probability of rolling an even number on the six-sided die and rolling a 16 on the other die?
0.229
0.167
0.031
0.063
Answer:
C
Hope that helps!
Step-by-step explanation:
The 6th number in the series 2, 4, 6, 8, 10, ... is
Answer:
the answer is 12! good luck!:)
Answer:The answer is (b) 12
Step-by-step explanation:
Hi, this is basically a simple addition series, and each number increases by 2. The First number is 2 Second number = 2 + 2 =4 Third number = 4 + 2 = 6 Fourth number = 6 + 2 = 8 Fifth number = 8 + 2 = 10 and Sixth number = 10 + 2 = 12 .
Hope this helps!
find the sum f(x)=׳/3+ײ/2+× and g(×)=׳/2+ײ/3+×/4
Answer:
(fog) (x) = 2(3x + 2) - 1 = 6x + 4 - 1 = 6x + 3 = 3(2x + 1)
Step-by-step explanation:
If f(x) = 2x - 1 and g(x) =3x + 2then find (fog) (x)
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1
How is the data represented on a scatterplot that depicts an exponential model?
Answer:
you need key words
date
name
position
Step-by-step explanation:
Answer:
The Bureau of the Census defines urban as comprising all territory, popu- lation, and housing units located in urbanized areas and in places of 2,500 or more inhabitants outside of UAs. The term urban refers to both kinds of geographic entities.
Step-by-step explanation:
-42 < j(7)
Solving one step inequalities
Step-by-step explanation:
step 1. -42 < 7j
step 2. j > -6 (divide both sides by 7)
step 3. notice that I also put the variable first.
What is 14 times 10 to the power of -7 in scientific notation
Answer:
Step-by-step explanation:
work backwards to find the factors from the roots then multiply the factors together. y= x² - 24x + 140
Find the slope (y=mx+b)
Answer:
y=7.5x+0 you don't have a b value because your rate starts at 0.
can you all please help me with a and b
Answer:
Step-by-step explanation:
a.
area of one face=3²=9 units²
b.
whole surface area=6×3²=6×9=54 units²
The cost of 3 pencils and 2 markers is $1.30.
The cost of 2 pencils and 3 markers is $1.20.
What is the total cost of 7 pencils and 7 markers?
Answer:
$3.50
Step-by-step explanation:
Given that the cost of 3 pencils and 2 markers is $1.30. Let the cost of a pencil be $p and that of a marker be $m then
3p + 2m = 1.30
Also, the cost of 2 pencils and 3 markers is $1.20 will result
2p + 3m = 1.20
Solve both simultaneously
3p + 2m = 1.30
2p + 3m = 1.20
multiply the first by 2 and the second by 3
6p + 4m = 2.60
6p + 9m = 3.60
subtract the second from the first
4m - 9m = 2.60 - 3.60
-5m = -1
Divide both sides by -5
m = 0.20
substitute into equation 1
3p + 2(0.2) = 1.30
3p + 0.4 = 1.30
3p = 1.30 - 0.40
3p = 0.90
Divide both sides by 3
p = 0.30
The total cost of 7 pencils and 7 markers
= 0.30 * 7 + 0.20 * 7
= 2.10 + 1.40
= $3.50
The difference between 30 and a number is 4.
Answer:
26
Step-by-step explanation:
30-4=26
thirty minus four equal 26
i really really need the answer plz help this is the fourth time im asking this question plz help.
Answer:
5g-4/4your answer right answer
Step-by-step explanation:
we have to find value of g ????
Find the measure of the numbered angles in each rhombus
Answer:
Angle 1 = 22°
Angle 2 = 68°
Angle 3 = 68°
Angle 4 = 90°
Step-by-step explanation:
It is a rhombus by the definition:
A rhombus is a quadrilateral whose all four sides are equal in length and opposite sides are parallel to each other. However, the angles are not equal to 90°.
The properties of rhombus is:
(1) Opposite angles are equal
(2) All sides are equal and, opposite sides are parallel to each other
(3) Diagonals bisect each other perpendicularly
(4) Sum of any two adjacent angles is 180°
By property (3):
Angle 4 = 90°
By (1) and properties of isosceles triangle in the top right triangle:
Angle 2 = Angle 3 = 68°
In the top triangle:
Angle 1 + Angle 2 + 90° = 180° (Angle sum of triangle)
Angle 1 = 22°
Roy has 5 pounds of dried fruit to make snack bags. He separates each pound of dried fruit into thirds and wants to use 1 third pound for each bag. How many snack bags can he make with all of the dried fruit?
Answer:
15
Step-by-step explanation:
1 turns in to 3 and you multiply that by 5
Help me plsss tysmmmmm
Given that 2x -7y = 30
Find y when x = -3
Give your answer as an improper fraction in its simplest form.
y=
Answer:
The answer is 30 all over 3.
72
-) A 5-kilogram (kg) bag of rice is $9 and the 2-kg bag is $4.50. Calculate the unit price of each bag of rice.
Show the steps you used:
a) The large (5-kg) bag is $.
/per kg.
/per kg and the small (2-kg) bag is $
b) How much will you save per kilogram if you buy the larger bag of rice? $_
/per kg
opted from
Answer:
$1.8
$2.25
$0.45
Step-by-step explanation:
a)
Unit Price = Cost/Volume
= 9/5
= $1.8/Kg for the 5Kg
4.5/2
= $2.25/Kg for the 2Kg
b)
($2.25-$1.8) per kg
= $0.45
noel is who is 18meters away from point P on the ground is flying kite directly above point P. if the string of the kite is 25cm. long from noel, how high is the kite from point P? round of your number to the nearest hundredths of meters.
Answer:
18 meters because the 18 meters away from kite is the same as point p
which is greater 1/4 or 0.75
Answer:
0.75 is greater
Step-by-step explanation:
1/4=0,25 and 0.75 is greater than 0,25
Today is the birthday of Rahul and he is 3 times
as old as Nirmala. In 13 years, Rahul will be one
year less than twice as old as Nirmala will be
then. The age of Rahul today is:
a. 30 years
c. 49 years
b. 36 years
d. 30 years
Answer:
b. 36 years
Step-by-step explanation:
Today
Nirmala = x years
Rahul = 3x years
In 13 years
Nirmala = 3x + 13 years
Rahul = 2(x+13) - 1
3x + 13 = 2(x+13) - 1
3x + 13 = 2x + 26 - 1
3x + 13 = 2x + 25
3x - 2x = 25 - 13
x = 12
Nirmala = x years
= 12 years
Rahul = 3x years
= 3(12)
= 36 years
The age of Rahul today is 36 years
The probability of an event occurring is 0.61. Which of the options below show the probability of an event that is less likely to occur? Select all that apply.
(6x + 6) + (-3 - 4x)
Answer:
2x+3
Step-by-step explanation:
[tex](6x+6)+(-3-4x)=2x+3[/tex]
find the volume of the cylinder pictured below use 3.14 for pi give your answer rounded to the nearest tenth height 21ft diameter 10ft
Given:
Height of the cylinder = 21 ft
Dimeter of the cylinder = 10 ft
To find:
The volume of the cylinder.
Solution:
We have,
Dimeter of the cylinder = 10 ft
So, radius is half of diameter, i.e., 5 ft.
Volume of the cylinder is
[tex]V=\pi r^2h[/tex]
Where, r is the radius and h is the height.
Putting [tex]\pi=3.14[/tex], r=5 and h=21, we get
[tex]V=(3.14)(5)^2(21)[/tex]
[tex]V=(3.14)(25)(21)[/tex]
[tex]V=1648.5[/tex]
Therefore, the volume of the cylinder is 1648.5 cubic ft.
- Functions F and A are defined by these equations below. Which function has a greater value when x is 2.5?
A. F(x) = 80-15x
B. A(x) = 25 + 10x
Answer:
The answer is D- A(x)=25+10x
Step-by-step explanation:
I cant really explain how i got the answer but i got it right
The function A(x) has greater value then F(x) for x = 2.5.
What is a function?A function is a relation between a independent variable and a dependent variable such that the value of dependent variable depends upon the independent one.
Given are two functions of [x] as follows -
F(x) = 80 - 15x
A(x) = 25 + 10x
We have the following functions -
F(x) = 80 - 15x
A(x) = 25 + 10x
Now, we will evaluate each function at x = 2.5.
F(2.5) = 80 - 15 x 2.5 = 42.5
and
A(2.5) = 25 + 10 x 2.5 = 50
It can be seen that A(2.5) > F(2.5)
So, the function A(x) has greater value then F(x) at x = 2.5
Therefore, the function A(x) has greater value then F(x) for x = 2.5.
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What is the solution to this system of equations? A.P.E.X btw
A) (4, -2)
B) (-2, 4)
C) (-1, 2)
D) (2, -1 )
The required solution to the system of equations is (x, y) = (-2, 4). Option B is correct.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
To solve this system of equations, we can set the two expressions for y equal to each other, since they both represent the same value of y,
x + 6 = -0.5x + 3
Simplifying and solving for x, we get:
1.5x = -3
x = -2
Now that we have the value of x, we can substitute it into one of the original equations to find the value of y. Using the first equation, we have,
y = x + 6
y = -2 + 6
y = 4
Therefore, the solution to the system of equations is (x, y) = (-2, 4).
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Evaluate (2√3 + √5)(2√3 - √5)
Answer:
= 4 × 3 - 5
=12-5
=7
Step-by-step explanation:
the answer is 7
Which of these graphs represents the inequality x <10
Answer:
There are no graphs, but the graph should look lyke this:
An open circle on the point "10"
And from the 10, the arrow should be going left, towards the negatives, or smaller numbers than the ten
