B) 16, -8, 4, -2, 1
C) -15, -18, -21.6, -25.92, -31.104
E) 625, 125, 25, 5, 1
==================================================
Explanation:
Part (A)
Divide each term over its previous term. If each result is the same, then we have a geometric sequence.
(term2)/(term1) = (-4)/(-2) = 2
(term3)/(term2) = (-6)/(-4) = 1.5
We can stop here since we got a different result.
This sequence is not geometric.
--------------------------------------
Part (B)
Same idea as part (A)
(term2)/(term1) = (-8)/16 = -0.5
(term3)/(term2) = 4/(-8) = -0.5
(term4)/(term3) = (-2)/4 = -0.5
(term5)/(term4) = 1/(-2) = -0.5
We get the same result each time. The common ratio is r = -1/2 = -0.5. This sequence is geometric.
--------------------------------------
Part (C)
(term2)/(term1) = (-18)/(-15) = 1.2
(term3)/(term2) = (-21.6)/(-18) = 1.2
(term4)/(term3) = (-25.92)/(-21.6) = 1.2
(term5)/(term4) = (-31.104)/(-25.92) = 1.2
This sequence is geometric since each result is the same. The common ratio is r = 1.2
note: 6/5 = 1.2
--------------------------------------
Part (D)
(term2)/(term1) = (10.5)/4 = 2.625
(term3)/(term2) = (17)/(10.5) = 1.619
We don't get the same result, so we can stop here. This sequence is not geometric.
--------------------------------------
Part (E)
(term2)/(term1) = (125)/(625) = 0.2
(term3)/(term2) = (25)/(125) = 0.2
(term4)/(term3) = (5)/(25) = 0.2
(term5)/(term4) = (1)/(5) = 0.2
The common ratio is r = 0.2 or r = 1/5
This sequence is geometric.
Answer:
C) -15, -18, -21.6, -25.92, -31.104
E) 625, 125, 25, 5, 1
Step-by-step explanation:
plesase solve this
Prove that a line parallel to one side of a triangle divides the other two sides proportionally. Be sure to create and name the appropriate geometric figures. (10 points)
pencil, paper, ruler
Draw:-[tex]\begin{align*}\triangle ABC\end{align*}.[/tex] Label the vertices.
[tex]\begin{align*}\overline{XY}\end{align*} so that \begin{align*}X\end{align*} is on \begin{align*}\overline{AB}\end{align*} and \begin{align*}Y\end{align*} is on \begin{align*}\overline{BC}\end{align*}. \begin{align*}X\end{align*} and \begin{align*}Y\end{align*}[/tex] can be anywhere on these sides.
Is [tex]\begin{align*}\triangle XBY \sim \triangle ABC\end{align*}? Why or why not? Measure \begin{align*}AX, XB, BY,\end{align*} and \begin{align*}YC\end{align*}. Then set up the ratios \begin{align*}\frac{AX}{XB}\end{align*} and \begin{align*}\frac{YC}{YB}\end{align*}.[/tex] Are they equal?Draw:-
a second triangle,[tex] \begin{align*}\triangle DEF\end{align*}.[/tex] Label the vertices
Draw:-
[tex]\begin{align*}\overline{XY}\end{align*} so that \begin{align*}X\end{align*} is on \begin{align*}\overline{DE}\end{align*} and \begin{align*}Y\end{align*} is on \begin{align*}\overline{EF}\end{align*} AND \begin{align*}\overline{XY} \ || \ \overline{DF}\end{align*}.
Is \begin{align*}\triangle XEY \sim \triangle DEF\end{align*}? Why or why not? Measure \begin{align*}DX, XE, EY,\end{align*} and \begin{align*}YF\end{align*}. Then set up the ratios \begin{align*}\frac{DX}{XE}\end{align*} and \begin{align*}\frac{FY}{YE}\end{align*}.[/tex] Are they equal?
From this investigation, it is clear that if the line segments are parallel, then [tex]\begin{align*}\overline{XY}\end{align*}[/tex] divides the sides proportionally.Find the circumference of the circle
Answer:
31.4 cm
Step-by-step explanation:
it says [tex]c =\pi d[/tex]
d stands for the diameter and to find d, just add the radius by itself.
So to find d, you would add 5 + 5 which would be 10 and multiply 3.14 which stands for pi. And the answer you would get is 31.4
Hope this helps and pls mark me brainliest if you can:)
Arturo, Pedro y Jorge son hermanos y duermen en la misma habitación. Su padre compró pintura para que entre los tres pinten su cuarto. Arturo como es el más grande tiene que pintar 1/2 , Pedro y Jorge se dividen en partes iguales lo que falta pintar. ¿Qué fracción de la habitación pintará Pedro? ¿Y Jorge? Explica cómo llegaste a ese resultado.
Answer:
Tanto Pedro como Jorge deberán pintar 1/4 de la habitación cada uno.
Step-by-step explanation:
Dado que el cuarto entero es igual a 1, y que Arturo por ser el mayor de los hermanos tiene que pintar 1/2 de él, la parte que falta pintar es igual a 1/2 restante.
De ese 1/2, los hermanos menores, Pedro y Jorge, deben pintar dicha fracción en partes iguales. Por lo tanto, dado que (1/2) / 2 es igual a 1/4, la fracción que tanto Pedro como Jorge deberán pintar es de 1/4 de la habitación.
Answer:
xngdshfdxb
Step-by-step explanation:
calculate (4-7i)-(-3+6i)
Answer:
7 - 13i
Step-by-step explanation:
1. Distribute the negative in front of (-3+6i)
2. Combine like terms
E. You can see a person in 1/4 the windows, How many people are visable
Answer:
0
Step-by-step explanation:
You say that you can see a quarter of a person in a window. You cant have 1/4 of someone so the answer is 0 or 0.25
I need help with four answers! Will mark brainliest : )!
Q.1:Which symbol replaces the box to make the statement true?
4⋅16−16□4⋅[24−2⋅(4+8)]
Q.2: Which expression has a value less than the given expression when x = 5?
3x + 15
-----------------------------------
Answers options:
2x²
x² + 5
3(x + 5)
4x + 5
Q.3:Let m = 4 and n = 5.
Select from the drop-down menu to create a true statement.
4m+4n = 2m2+
----------------------------
Answer options:
M
N
MN 2
Q.4: Which expression completes the statement to form a true equation?
28–3+2=
----------------------------------------------------
Answer options:
3³
5(4 + 2)
3² + 19
44–24
Answer:
Q1:=
Q2:4x+2
I believe question 3 is MN 2
3^3
which one of the mappings is a function?
Answer:
the answer is x.
Step-by-step explanation:
the x values are only being used once, therefore, it is a function
Score: 0 of 1 pt
4 of 40 com-
3.1.11
The line graph to the right shows the number of students per teacher in public elementary and
secondary schools for the years 1998 through 2006,
Approximate the number of students per teacher in 1999,
Answer:
~ 17.4
Step-by-step explanation:
The number of students per teacher in 1999 is approximately 17.4
The first step to change a fraction to a percent is to ...
A. Multiply the numerator by the denominator
B. Change the fraction to a decimal
C. Move the decimal point to the right
Answer:
a
Step-by-step explanation:
i am smart
Answer:
B
To change a fraction into a percent you need to turn it into a decimal so you can then move the decimal place 2 times to the right. It looks something like this:
1/2 ------> 0.5 -----------> 50%
To change a percent into a decimal move the decimal place twice to the left. Like so:
85.5% ------> 0.855
Step-by-step explanation:
Someone please....
Please define the following terms:
mercantilism, import, export, enumerated article, legislature, indentured servant, Navigation Acts, Dominion of New England, English Bill of Rights.
Answer:
Mercantilism
Economic policy held that a nation's power was directly related to its wealth; manufactured goods to England and America needed favorable balance of trade, system could bring the colonies prosperity of the colonies didn't see it this.
Import
bring (goods or services) into a country from abroad for sale.
Navigation acts
1651 English government passed several laws to control colonial trade and then sure the colonies remain profitable, increased revenues for England and increased the cost of law-enforcement in America, meant more English involvement in colonial affairs
enumerated articles
pl (plural only) (historical) sugar, tobacco, cotton and indigo - the goods that the English colonies could export only to England in the 17th century.
Legislature
the legislative body of a country or state.
Indentured Servant
Historically, an indentured servant or indentured laborer was a man who took out a loan, most often to pay for the cost of his transportation to a job location: from Europe to North America, for example.
Export
Send (goods or services) to another country for sale.
Dominion of New England, English Bill of Rights.
The English Bill of Rights created a constitutional monarchy in England, meaning the king or queen acts as head of state but his or her powers are limited by law. Under this system, the monarchy couldn't rule without the consent of Parliament, and the people were given individual rights.
Step-by-step explanation:
Which of the following is a polynomial with roots 5, -6, and 7? (2 points)
The answer would be C
Answer:
the answer is C
Step-by-step explanation:
A recipe used 2/3 cup of sugar for every 2 teaspons of vanilla. How much sugar was used per teaspoon of vanilla?
Answer:
1/3 cups of vanilla per teaspoon
Step-by-step explanation:
A can of paint will cover 400 square feet. What is the length of the edge of the largest square that can be painted with this can of paint?
Answer:
I believe the answer is 50 ft
Step-by-step explanation:
Drag each expression to match each number with an expression.
Number. Expression.
34 34x10*0
3,400 34x10*3
34,000 34x100
340 34x10*1
Answer:
3,400
Step-by-step explanation:
Is the equation a linear function or nonlinear function?
y = 5x + 3
Answer:
Linear.
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = 5x + 3
Step 2: Compare
y = mx + b
y = 5x + 3
m = 5
b = 3
It is a linear function and is proportional.
simplify the like terms
-2x\:+\:3y\:-\:3xy\:+2yz\:-\:3x^2y\:+5x\:-\:4y+3xy
Answer:
[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy = 3x-y+2yz-3x^2y[/tex]
Step-by-step explanation:
Given
[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy[/tex]
Required
Simplify
[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy[/tex]
We start by collecting like terms
[tex]-2x+5x-4y+3y+3xy-3xy+2yz-3x^2y[/tex]
Then simplify like terms:
[tex]3x-y+0+2yz-3x^2y[/tex]
[tex]3x-y+2yz-3x^2y[/tex]
Conclusively, when [tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy[/tex] is simplified, the result is [tex]3x-y+2yz-3x^2y[/tex]
Hence:
[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy = 3x-y+2yz-3x^2y[/tex]
PLEASE HELP ME BRAINLIEST AND 20 POINTS
What is the domain of f(x) = 35x?
O all real numbers
O positive numbers and zero
O all integers
O whole numbers
Do not guess please this is important and, please explain your answer. Thank you
Find the missing measure and write your solution on the blank provided
Step-by-step explanation:
sum of internal angles of any triangle = 180 degrees
sum of an exterior angle and an interior angle = 180 degrees
Need help. Find the ratio of the perimeters and the ratio of the areas
Answer: The ratio of the perimeters is 3:4, and the ratio of the areas is I don't know how to find the ratio of the areas please show me this formula next time.
Step-by-step explanation:
Penny’s bank account showed a balance at the beginning of the month of $180. She
spent $2.50 each day on bus tokens. Write an equation representing the amount A left in
her account after d days.
Answer:
[tex]a=180-2.50d[/tex]
Step-by-step explanation:
If Penny starts with a balance of $180, and [tex]a[/tex] represents the account left in her account after [tex]d[/tex] days. we can start modeling an incomplete equation:
[tex]a=180[/tex]
We are then told that she spends $2.50 each ([tex]d[/tex]) day. This can be represented as:
[tex]2.50d[/tex]
Let's now include the expression into the incomplete equation. Remember that since she is spending, the [tex]2.50d[/tex] will be subtracted from her balance of $180:
[tex]a=180-2.50d[/tex]
pleas yall help me ill give a lot of points and brainiest
Answer:
Third choice.
Step-by-step explanation:
The left side is "8 less than 4 times a number"
The right side is "2 times the difference of 2 times the number decreased by 3"
Answer: Third choice.
How many solutions does -3+9v=8v have
Answer:
-3 = 8v-9v
-3 = -1v
v = -3/-1
v = 3
ONE SOLUTION
Jacob ate 21 chips ahoy cookies in 1 hour and Bryant ate 25 chips ahoy cookies in the same time, at this rate, how mant whole cookies could Bryant eat in 80 minutes
please answer asap it’s due in 1 min
What is the total amount, including interest, that the shoe store must pay on the loan? (2 points)
Answer:
2550
Step-by-step explanation:
Hope This Helps
Answer:
2550
Step-by-step explanation:
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. What do you think the slope and the y intercept represent? How much money will she make if she baby-sits 5 hours?
Determine which trig function can be used to solve for x. Then, solve for x, 48° 17 Make sure your calculator is operating in "Degree Mode if applicable. Round your answer to the nearest tenth.
Answer:
x=18.9
Step-by-step explanation:
tan48=x/17
17tan(48)=x
18.9=x
Please help someone I’m miserable I’ll pay Lol
Answer:
7,6 1/2, 5 here are your answers welcome
Find the area of a circle with a radius of 11 inches
Answer:
A ≈ 380.13in²
Or A= 379.94in²
Step-by-step explanation:
Formula for area:
A = π r²
A=π ·11² ≈ 380.13in²
If π is used as 3.14 then
A=3.14·11² = 379.94
Meredith's goal is to read one library book each week. On the first night, she read 14 pages more than of the pages in the book. If the book has 280 pages, how many pages did she
read the first night?
A 54
B
42
С
38
D
26
Answer: A : 54
Step-by-step explanation:
1/7 of 280+14