Which of the following best defines the sequence shown?
8, 24, 72, 216, ...
Answer:
Option (2)
Step-by-step explanation:
Given sequence is,
8, 24, 72, 216........
1st term of the sequence 'a' = 8
Ratio of 2nd and 1st term = [tex]\frac{24}{8}=3[/tex]
Ratio of 3rd and 2nd term = [tex]\frac{72}{24}=3[/tex]
There is a common ratio of 'r' = 3 in each successive and previous term.
Therefore, it's a geometric sequence.
Since, nth term of a geometric sequence is given by,
[tex]T_n=a(r)^{n-1}[/tex]
Therefore, function representing the geometric sequence is,
f(n) = [tex]f(n)=8(3)^{n-1}[/tex]
Option (2) is the answer.
HELP I'm running out of time
Answer:
VT, TU, UV.
Step-by-step explanation:
The smallest angle is always across from the shortest side. And the longest angle is always across from longest side.
can u pls help with this question
Answer:
noooooooooooooooooooooooooooooooooooooooooooo
Step-by-step explanation:
If a polynomial function f(x) has roots -7, 1 and 5i, what must also be a root of f(x)?
a) -5
b) -5i
c) 5+i
Answer:
-5i
Step-by-step explanation:
Carmen quiere invertir 700 dólares, de tal forma que en
90 días le produzca 63 dólares de interés simple.
¿Que tasa de interés debe elegir?
La fórmula de interés simple, nos permite calcular I, que es el interés ganado o pagado de un préstamo. Según esta fórmula, la cantidad de interés está dada por I = C·i·t, donde C es el capital, i es la tasa de interés anual en forma decimal, y t es el período de tiempo expresado en años Tenemos que:
C = 700 dólares
i = ???
t = 90/360 = 0.25 (Expresado en años)
I = C*i * t
i = I / C*t
i = 63/ (0.25*700)
i = 0.36
R/ Debe elegir una tasa de interés de 36% anual.
The interest on the amount invested for 90days given $63 as interest is 36.5%
Simple interest is the amount of money added to money invested. It is calculated as:
[tex]SI = \frac{PRT}{100}[/tex]
P is the amount invested (principal) = $700
R is the rate
T is the time (in years) = 90/365
SI is the interest = $63
Substitute the given values into the formula
[tex]63=\frac{700 \times R \times 90}{365 \times 100}\\63=\frac{63000R}{36500}\\63= 1.72602R\\R=36.5\%[/tex]
This shows that the interest on the amount invested for 90days given $63 as interest is 36.5%
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Problem: According www.textrequest, an American between 18-24 sends and receives about 128 text messages per day. Assume that the population standard deviation is 30 for this age group. To get an idea about the true population mean you take a survey of 100 adults in that age group and find that their average is 135. Create a 90% confidence interval for the population average for this age group.
Answer:
(130.08, 139.92)
Step-by-step explanation:
Given that:
Mean (m) = 135
Standard deviation (σ) = 30
Sample size (n) = 100
α = 90%
The confidence interval value is obtained using the relation:
Mean ± Zcritical * (standard deviation / sqrt(n))
Zcritical at 90% = 1.64
standard deviation / sqrt(n) = 30 / sqrt(100)
= 30 / 10 = 3
Hence,
135 ± 1.64 * (3)
Lower limit : 135 - (1.64 * 3) = 130.08
Upper limit : 135 + (1.64 * 3) = 139.92
Hence,
Confidence interval = (130.08, 139.92)
Can you show me how you can get this answer step by step
Answer:
Plug in the values for x
Step-by-step explanation:
plug in x values into the equation
for example, plug -2 into the equation. y= -2(-2). y=4
So on and so forth
PLEASE HELP!!! will mark brainliest
Answer:
you actually got all the answers
Step-by-step explanation:
Answer:
the ones you chose are correct :-)
Marcos reads 3, books in 1 weeks.
At this rate, how many books does Marcos read iQ 1 week?
Enter your answer in the box.
Answer:
Marcos reads 3 books
Step-by-step explanation:
The question is asking how many books he read in 1 week, and it said "Marcos reads 3, books in 1 weeks. At this rate, how many books does Marcos read in 1 week?", so he read 3 books.
The height to the top of a flagpole is 18 feet. The flagpole casts a shadow of 20 feet, and a tree casts a shadow of 25 feet. How tall is the tree?
Answer:
22.5 feet
Step-by-step explanation:
set up a proportion, then cross-multiply
18/20 = x/25 or 18/x = 20/25
The height of the tree is 22.5 ft
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Given that, the height to the top of a flagpole is 18 feet, the flagpole casts a shadow of 20 feet, and a tree casts a shadow of 25 feet.
Here we need to find the height of the tree,
We will use the concept of the similar triangles to find the same,
Let the height of the tree be x
So. according to the definition of similar triangles,
18 / 20 = x / 25
x = 45 / 2
x = 22.5
Hence, the height of the tree is 22.5 ft
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A TV report conducted a survey of 947 people in New York City and found that 35% of the population believe that the Yankees will miss the playoffs this year. In the accompanying dialogue, the reporter states, we are 97% confident that the true proportion of people in New York City who believe that the Yankees will miss the playoffs this year lies between 28% and 42% . What does 35% represent in the report
Answer:
[tex]35\%[/tex] represents the sample proportion of the population
Step-by-step explanation:
From the question we are told that
The sample size is n = 947
The proportion of the population that believes that the Yankees will miss the playoffs this year is [tex]k = 35\% = 0.35[/tex]
From the question we are told the confidence level is 97%
The lower limit of the confidence level is a = 28%
The upper limit of the b = 42%
Generally the sample proportion of this population is mathematically represented as
[tex]\^ p = \frac{a+ b}{2}[/tex]
=> [tex]\^ p = \frac{28 + 42 }{2}[/tex]
=> [tex]\^ p = 35\%[/tex]
Hence [tex]35\%[/tex] represents the sample proportion
When you expand 2 (6x + 12), you get an answer of 12x + 24. How many other ways can
you use brackets so you get the answer of 12x + 24 when you expand them?
Answer:
There is no other way you can expand the brackets
Step-by-step explanation:
Paulina has a suitcase full of clothes that weighs 4
4
7pounds. Rebecca has a suitcase full of clothes that weighs
7
8of Paulina's suitcase. How many pounds does Rebecca's suitcase weigh?
Answer:
4 pounds
Step-by-step explanation:
Paulina has a suitcase full of clothes that weighs 4 4/7pounds. Rebecca has a suitcase full of clothes that weighs
7/8 of Paulina's suitcase. How many pounds does Rebecca's suitcase weigh?
Weight of Paulina's suitcase = 4 4/7 pounds = 32/7 pounds
Weight of Rebecca's suitcase = 7/8 of Paulina's suitcase
Hence, the weight of Rebecca's suitcase in pounds = 7/8 of 32/7 pounds
= 7/8 × 32/7
= 4 pounds
Therefore, Rebecca's suitcase weighs 4 pounds.
Which system of equations has no solution?
5 x + 5 y = 10 and 2 x + 2 y = 4
3 x minus 6 y = 4 and negative 4 x + 8 y = 7
6 x + 2 y = 6 and 7 x + 3 y = 9
3 x minus 4 y = 16 and 2 x + 3 y = 5
Question #2
Two linear equations are represented by using the tables below.
A 2-column table with 4 rows is titled Equation A. Column 1 is labeled x with entries negative 5, negative 2, 0, 1. Column 2 is labeled y with entries negative 4, negative 1, 1, 2.
A 2-column table with 4 rows is titled Equation B. Column 1 is labeled x with entries negative 6, negative 3, 3, 6. Column 2 is labeled y with entries negative 4, negative 2, 2, 4.
The data points for equation A are plotted on the coordinate plane below and are connected by using a straight line.
On a coordinate plane, a line goes through points (negative 5, negative 4), (negative 2, negative 1), (0, 1), (1, 2).
What is the solution to the system of equations?
(–6, –4)
(–5, –4)
(–3, –2)
(0, 1)
Answer:
is (-3,-2)
Step-by-step explanation:
because you are graphing them on a chart find
Answer:
3 x minus 6 y = 4 and negative 4 x + 8 y = 7
Did the unit test review got it right.
Step-by-step explanation:
Kaitlyn is sharpening a pencil that is 19 cm. Each time she sharpens it goes down 2.5 cm. If she sharpens her pencil 4 times. How many centimeters of pencil does she have left?
Answer:
9 cm
Step-by-step explanation:
2.5x4=10
A line includes the points (-8,8) and (6,4). Select the correct point slope form equations of this line. (Remember there can be more than one)
Group of answer choices
y-8=(-2/7)(x+8)
y+8=(-2/7)(x-8)
y-4=(-2/7)(x-6)
Answer:
y-8=(-2/7)(x+8) and y-4=(-2/7)(x-6)
Step-by-step explanation:
Point slope form equation: y - y₁ = m(x - x₁)
m is the same for all your answer choices, so you can disregard that part.
First point: (-8,8)
x₁ = -8; y₁ = 8
Plug those values into the point slope form equation and you get:
y-8=(-2/7)(x+8)
Do the same for the second point, and you get:
y-4=(-2/7)(x-6)
Answer:
first and third options
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope- formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 8, 8) and (x₂, y₂ ) = (6, 4)
m = [tex]\frac{4-8}{6+8}[/tex] = [tex]\frac{-4}{14}[/tex] = - [tex]\frac{2}{7}[/tex]
using (a, b ) = (- 8, 8 ), then
y - 8 = - [tex]\frac{2}{7}[/tex] (x - (- 8) ) , that is
y - 8 = - [tex]\frac{2}{7}[/tex](x + 8) ← first option
using (a, b ) = (6, 4 ), then
y - 4 = - [tex]\frac{2}{7}[/tex] (x - 6) ← third option
IF you do this for points YOU WILLLL NOT BE BRAINLEST AND YOU HAVE 1 HOUR IF IT IS LESS THAN AN HOUR NO ONE WILLL BE BRAINLEST !!!!!!!!!!!
Which number is missing on the following number line?
Answer:
21
Step-by-step explanation:
It is going by multiples of 7, so the answer is 21.
an even even Function has a graph symmetric about _____, thus ______.
A. x-axis
B. y-axis
C. origin
A. f(x)= f(-x)
B. f(x)= -f(-x)
Answer:
B. y-axis
A. f(x) = f(-x)
Hugo is saving for a new baseball glove. He saves $10 the first week, and $6 each week for the next 6 weeks. The expression 10+6 with the power of 2 represents the total amount in dollars he has saved. What is the total amount Hugo has saved?
Answer$46
Step-by-step explanation: Because if he saves $6 every week for 6 weeks then all you have to do is times 6 by 6 then plus ten equaling your problem.
The sum of 2 numbers is 84 if one number is 4.less than the other find the numbers
Answer:
one number= x = 44
the other number= (x-4)= 40
Step-by-step explanation:
one number= x
the other number= (x-4)
x + (x-4) = 84
2x= 84+4
2x= 88
x= 88/2= 44
one number= x = 44
the other number= (x-4)= 40
Plz help- solve the inequality
-3(1 - z) < 9
Use distributive property
Answer:
z
=
9
2
Step-by-step explanation:
anyway
good luck
help please! will mark brainliest!!
9514 1404 393
Answer:
x = 7.5
Step-by-step explanation:
The parallel lines divide the transversals proportionally, so we have ...
x/5 = 6/4
x = 5(6/4) . . . . multiply by 5
x = 7.5
Write 8% as a fraction or mixed number in simplest form.
Answer:
[tex]\frac{2}{25}[/tex]
Step-by-step explanation:
All percents can be written as a fraction with their denominator as 100.
So, first we can write the fraction as 8/100 and start making it smaller and simplifying it.
[tex]\frac{8}{100}[/tex] can be divided by 4 since that is the GCF ( Greatest common factor)
Now, the numerator would be 2 and the denominator would be 25 as shown below ...
[tex]\frac{2}{25}[/tex]
This is the simplest form of 8% as a fraction
Hope this Helps!!! :)
Let me know in the comments if the answer was perfect or if I should change anything!!!
The simplest form of the 8% as a fraction is 2 / 25.
What is the percentage?
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %.
All percentages can be written as a fraction with their denominator as 100. First, write the fraction as 8/100 and start making it smaller and simplifying it.
Fraction = 8 /100
Fraction = ( 4 x 2) / ( 4 x 25)
Fraction = 2 / 25
Thus, the 8% in the fraction is 2 / 25.
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Write this number in expanded form 36.91
Answer:
30+6+0.9+0.01 =36.91
Step-by-step explanation: Here ya go ;>
Help pleasseeeee!!!!!!
Answer:
i think C sorry if wrong
Question 3 (1 point)
What is the area of the triangle?
L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVxbGczRkROT2hUWkF0YnNTM0JMYU5oVGExbk1YRks3ZkxiMWN6Qk9ITjU0dndJTzZvVUo5Nk5BbjkxLUVERERYdEFaSUFST1gweVpTQUc2X2lhQTY3WV9tdVhxTVVyRENXVHJxREVqbVpsNDJJQ2U2RS5HTkpidkQwNDlZang1OFNk?w=400&h=400
a
30 units squared
b
25 units squared
c
11 units squared
d
15 units squared
Answer:
d: 15 units squared
Step-by-step explanation:
The area of a triangle is [tex]\frac{b*h}{2}[/tex]:
Base: 5Height: 6Area: (5•6)/2=30/2=15can you show me how to work out the problem
Solve for n .
n - 26 = -13 .
n =
Answer:
n = 13
Step-by-step explanation:
Given
n - 26 = - 13 ( add 26 to both sides )
n = 13
Final Answer: [tex]n = 13[/tex]
Steps/Reasons:
Question: Solve for n. n - 26 = -13. n = ?
Step 1: Add 26 to both sides.
[tex]n = -13 + 26[/tex]
Step 2: Simplify -13 + 26 to 13.
[tex]n = 13[/tex]
~I hope I helped you :)~
What is the greatest common factor of 49, 62 and 80? OA) 1 OE) 2 OC) 3 OD) 5
Answer: A (1)
Step-by-step explanation:
The way to find a common factor is by dividing the given numbers by the largest possible multiple that still gives you a whole number
A
49/1=49
62/1=62
80/1=80
This is an option
B
49/2=24.5
62/2=31
80/2=40
This is not an option, 24.5 is not a whole number
C
40/3=16.333(repeating)
This is not an option, you are not given a whole number
D
49/4=12.25
This is also not an option, 12.25 is not a whole number
Answer
Our only possible answer is A-1
Which expression is equivalent to 8x - 12y + 32?
A. 16(0.5x - 4y + 32)
B. 16(0.5x - 0.75y + 2)
C. 16(0.5x - 0.75 + 32)
D. 16(0.5x + 4y +2
Answer: B
Step-by-step explanation:
It’s the only one that makes sense.