Answer: 8
Step-by-step explanation:
A Geometric sequence can be used:
To Model this sequence you need to use this formula
A (subscript n) = Ar(n-1)
a = value of the first term
n = the # of the term you want to find (For example, if you want to find the term number 3, it is 12)
r = the common ratio, this is obtained by dividing the second term in the sequence by the first.
So the value of r is = 2/3 because 27 times 2/3 = 18 which is the second term
n = 4 since you want to find the 4th term in the sequence
Plug it in and results are
4th term = 27(2/3)^(4-1) = 8
Sample Response:
There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.
which ordered pair is a solution of the eqaution
2x-y=9?
Answer:
(5,1)
Step-by-step explanation:
2x-y=9
(5,1)
There are many ordered pairs you could choose. For instance if x=0, then y=9. So you have the pair (0,9). If y=0, then 2x=9, so x=4.5. So you have the pair (4.5,0). You can keep making pairs by plugging in different values!
Find the angle measures
Answer:
1. 45
2. 45
3. 90
4. 45
5. 45
6. 60
7. 60
8. 60
9. 60
10. 60
Step-by-step explanation:
A large random sample of adults aged 40 to 50 living in San Francisco, California, was polled about how likely they are to purchase an electric vehicle sometime in the next year. To which population can the results of the poll safely be generalized
Answer:
Adults living in San Francisco, California
Step-by-step explanation:
The population is the large group from which the sample is selected or chosen. In the question given the sample is drawn from the adult population of San Francisco who are aged 40 to 50 to find out whether they can buy
an electric vehicle sometime in the next year.
The population it can be generalized to is adults living in San Francisco, California.
A population is defined as the group of all the individual members or objects having some common interest or characteristics.
The individual members are called the sampling units or simply units.
Answer:
adults only who live in San Francisco
Difference between x=2 and x>2 in terms of their solutions
Answer:
When x = 2, there's a solid answer, if x > 2, it's an inequality
Step-by-step explanation:
Which is the fraction 14/5 written as a mixed number
The blue segment below is a radius of oo. What is the length of the diameter
of the circle?
A. 4.9 units
B. 14.7 units
C. 9.8 units
D. 19.6 units
Answer:
D. 19.6 unitsStep-by-step explanation:
diameter = 2r
where r = 9.8
plugin value of r = 9.8 into the formula:
diameter = 2(9.8)
= 19.6 units
The length of the diameter of the circle is option D 19.6 units.
What is the diameter?Diameter is defined as the line from one point in the circle to the other point through the center of the circle.
WE know that the diameter = 2r
where r = 9.8
Substitute value of r = 9.8 into the formula:
The diameter = 2(9.8)
The diameter = 19.6 units
Hence, the length of the diameter of the circle is option D 19.6 units.
Learn more about circle here;
brainly.com/question/12512221
#SPJ2
Square LAMP has vertices L(-2, -3), A(4, -1), M(2,5), and P(-4, 3). What is the
perimeter of the square?
Answer:
The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units
Step-by-step explanation:
The rule of the distance between two points (x1, y1) and (x2, y2) is
d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
∵ LAMP is a square
∵ The sides of the square are equal in lengths
∴ LA = AM = MP = PL
Let us find the length of one side of it
∵ L = (-2, -3) and A = (4, -1)
∴ x1 = -2 and y1 = -3
∴ x2 = 4 and y2 = -1
→ Substitute them in the rule of the distance above to find LA
∵ LA = [tex]\sqrt{(4 - -2)^{2}+(-1--3)^{2}}[/tex]
∴ LA = [tex]\sqrt{(4+2)^{2}+(-1+3)^{2}}[/tex]
∴ LA = [tex]\sqrt{(6)^{2}+(2)^{2}}[/tex]
∴ LA = [tex]\sqrt{36+4}[/tex] = [tex]\sqrt{40}[/tex]
→ Simplify the root
∴ LA = 2[tex]\sqrt{10}[/tex] units
∵ The perimeter of the square = 4 × side
∴ The perimeter of the square = 4 × 2[tex]\sqrt{10}[/tex]
∴ The perimeter of the square = 8[tex]\sqrt{10}[/tex]
∴ The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units
AJ
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UR SO AWESOME
Answer:wwwwhhhhhaaaaaatttttt
Step-by-step explanation:
subtract this please
Answer:
B. 3x^2 - 13x + 7
Step-by-step explanation:
6x^2 - 5x + 3 - (3x^2 + 8x - 4)
6x^2 - 5x + 3 - 3x^2 - 8x + 4
3x^2 - 13x + 7
Please help in this question with explanation. pls
Answer:
V = x³ - 3x² + 3x - 1
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( s is the measure of the side )
Here s = x - 1 , thus
V = (x - 1)³
= (x - 1)(x - 1)(x - 1) ← expand the second pair using FOIL
= (x - 1)(x² - 2x + 1) ← distribute
= x³ - 2x² + x - x² + 2x - 1 ← collect like terms
= x³ - 3x² + 3x - 1
Through (6,-2), slope = 1/3
Write the equation in slope-intercept form.
Answer:
y=1/3x+4
Step-by-step explanation:
Slope = 1/3
y=1/3x-b
Through (6,-2)
-2=1/3(6)-b
-2=2-b
-4=-b
b=4
y=1/3x+4
Hope this helps!
Write an equation in slope-intercept form of the line that passes through (0,-5) and (5,-1)
Answer:
y=4/5x-5
Step-by-step explanation:
to find the slope intercept form (y=mx+b) we must find the slope(m) first. We take the two points given and use the slope formula (y2-y1/x2-x1) take the point (0,-5) as (x1,y1) and the point (5,-1) as (x2,y2).Using the slope formula {-1-(-5)/5-0}. We get the slope equal to 4/5. Now we have y= 4/5x+b.To find b we must choose one point from the given and substitute x and y in the formula we have(y=4/5x+b). I chose (0,-5) so substituting that, (-5=4/5(0)+b), and to finally get b=-5.Now substitute b in the equation y=4/5x+b to get y=4/5x-5.
Evaluate the following expression -7x/7+9)
Answer:
− x+9
Step-by-step explanation:
−
7
7
+
9
{\color{#c92786}{\frac{-7x}{7}}}+9
7−7x+9
−
+
9=−
+
9
Please answer !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
x = 111 degrees
Step-by-step explanation:
the angle next to 164 degrees :
any line = 180 degrees, so 180 - 164 = 16 degrees
now you have two out of three angles in the triangle. All three angles of every triangle must add together to equal 180, so
180 = 53 + 16 + x
or
x= 180 - 53 - 16
x=111 degrees
Do these ratios form a proportion?
$42 per 33 customers
$28 per 22 customers
yes
no
Answer:
yes
Step-by-step explanation:
[tex]\frac{42}{33}[/tex] = [tex]\frac{14}{11}[/tex] and [tex]\frac{28}{22}[/tex] = [tex]\frac{14}{11}[/tex]
Both reduce to [tex]\frac{14}{11}[/tex] and form a proportion
SOMEONE PLEASE HELP ME FOR BRAINLY IF CORRECT
Paula refills the flour bin after it has been empty for a
while. She pours in the flour at a constant rate. She stops
pouring flour when the bin is full.
Which graph could represent this scenario?
Answer:
A
Step-by-step explanation:
Its A which ever is the one that is full
tan22° + tan23° tan22°. tan23° = 1 prove that
Answer:
Formula:(from trigonometry)
Tan(A+B)=(tanA+tanB)/(1-tanA*tanB)
Let A=22 degrees,B=23 degrees
Tan(22+23)=(tan22+tan23)/(1-tan22*tan23)
From trigonometry we know tan45=1
Therefore tan(45)=1=(tan22+tan23)/(1-tan22tan23)
=> 1-tan22tan23=tan22+tan23
=> tan22+tan23+tan23tan22 =1
Hence proved
Lori scored 26 points in the game. This was 2 less than four times the number of points Ben scored. Which equation can be used to find, b, the number of points Ben scored?
A laptop was originally sold for 975. The laptop is now on sale for 828.75. What percent is the percent markdown?
Answer:
15%
Step-by-step explanation:
975-828.75/975
Answer:
There was a 15% mark down.
Step-by-step explanation:
975 x 0.15 (15%) = 146.25
828.75 + 146.25 = 975
Check Work:
975 - 146.25 = 828.75
Is linear or nonlinear?
Answer:
Linear
Step-by-step explanation:
Rewrite 2/100 as a percent. *
answer fast please!
Andy has $150 in a savings account that earns a simple interest rate of 5%. How much will be in Andy’s savings account after 3 years?
Answer
$172.5
U find one percent of a 150 then times that by 15
The perimeter of the triangle below is 97 cm.
What is the length of EF?
A. 18 cm
B. 23 cm
C. 30 cm
D. 32 cm
Answer:
The length of EF = x = 18 cm
Option A is correct.
Step-by-step explanation:
Ware given perimeter of triangle = 97 cm
We need to find length of EF = x = ?
The length of EG = x+7
The length of EF = x
The length of GF = 3x
The formula used is: [tex]Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle[/tex]
Putting values and finding x i.e length of EF
[tex]Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle\\97=x+7+x+3x\\97-7=5x\\5x=90\\x=\frac{90}{5}\\x=18 \ cm[/tex]
So, value of x=18 cm
The length of EF = x = 18 cm
Option A is correct.
what is dark matter
can we travel faster than speed of light
what is chlorophyll
Step-by-step explanation:
No we can't travel faster than speed of light as it is the fastest
Chlorophyll is a pigment that absorbs light of particular wavelengths (mainly blue and red) .Chlorophyll in green plants spread out on stacks of membranes in chloroplasts.
Dark matter ia a material that we cannot see but we know that it exists because of it's effect on the objects and it is composed of particles that do not absorb,reflect or emit light.
Answer:
1. Dark matter is material that don't seen directly, it neither absorb anything, neither reflect and emit light.
2. No there is nothing which can travel faster than light.
3. In simple language, chlorophyll is those pigment which is present in all green plants and mainly responsible for the process of photosynthesis
Step-by-step explanation:
1.We can say there is dark matter but the only problem is we don't have any access to see it.
2.there is nothing faster than light because speed of light and time doesn't exist beyond any point.
The mean score on a driving exam for a group of driver's education students is 84 points, with a standard deviation of 5 points. Apply chebychev's theorem to the data using k= 12 interpret the results
Answer:
Interpreting the results:
a) At least 99.3% of the data lies between 12 standard deviations of the mean
b) The data lies between points 0 and 168
Step-by-step explanation:
The mean score on a driving exam for a group of driver's education students is 84 points, with a standard deviation of 5 points. Apply chebychev's theorem to the data using k= 12 interpret the results
Chebychev's theorem states that:
At least 1 - 1/k² data lies between k standard deviation of the mean
μ ± kσ
Where k is a positive number greater than 1
From the question above
μ = Mean = 84 points
σ = Standard deviation = 5 points
Hence: k = 12
We have:
1 - 1/12²
= 1 - 1/144
= 144 - 1/144
= 143/144
= 0.9930555556
Approximately = 99.3%
Interpreting these results means that At least 99.3% of the data lies between 12 standard deviations of the mean
Hence,
μ - kσ
84 - 12 × 7
= 84 - 84
= 0
μ + kσ
84 + 12 × 7
= 84 + 84
= 168
Hence, the data lies between points 0 and 168
How is the following reciprocal function f(x)= [tex]\frac{1}{x+2}[/tex] decreasing?
Find f(3) for f(x)=1/2(4)^x
Answer:
A. 32
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 1/2(4)ˣ
f(3) is x = 3
Step 2: Evaluate
Substitute in x: f(3) = 1/2(4)³Exponents: f(3) = 1/2(64)Multiply: f(3) = 32GIVING BRAINLIEST FOR CORRECT ANSWER!!!!
Answer:
All systems have 2 real solutions.
Step-by-step explanation:
there are X and Y unknowns.
Which expressions are equivalent to square root 1188x^5? Check all that apply
Titus cuts 3/4 inch sections of wood to make a birdhouse. He cut 36 sections. How many inches did he cut?
SHOW YOUR WORK FOR DOUBLE THE POINTS AND YOU GET PICKED BRAINLIST
!!! I WILL REPORT YOU IF YOU CHEAT!!!
Answer:
report me if i cheat nah its 4
Step-by-step explanation: