Answer: -49,152
Step-by-step explanation
r =4 -192/-48, -48/12
8th term= -3*4^7 =-3*16384 =-49,152
The first four terms of the sequence below ; -3, -12,-48,-192, ...therefore, the 8th term of this sequence is -49,152.
What is a geometric sequence and how to find its nth terms?Suppose the initial term of a geometric sequence is a and the term by which we multiply the previous term to get the next term is r
Then the sequence would look like
[tex]a, ar, ar^2, ar^3, \cdots[/tex]
Thus, the nth term of such sequence would be [tex]T_n = ar^{n-1}[/tex](you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).
The first four terms of the sequence below.
-3, -12,-48,-192, ...
We need to find the 8th term of this sequence
r = 4 = -192/-48, -48/12
8th term = -3 x 4^7
= -3 x 16384
= -49,152
Learn more about geometric sequence here:
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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
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.
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.what can be visualized as a series of vertical lines around the Earth
Answer:
roads?
Step-by-step explanation:
i think thats right
The chart below shows the numbers of endagered and threatened species both here in the United States and abroad
Endangered Threatened
United States Foreign United States Foreign
Mammals 68 251 10 20
Birds 77 175 13 6
Reptiles 17 67 22 19
Anphibians 11 8 10 1
Find the probability that it is:
a. Threatened and in the United States
b. An endangered foreign bird
c. A mammal or a threatened foreign species
Answer:
a. 0.071
b. 0.226
C. 0.4849
Step-by-step explanation:
We add up all endangered and foreign species to get 775
A.
Probability of threatened in united States.
= 10+13+22+10 = 55 divided by total species
= 55/775
= 0.070967
= 0.071
B
An endangered foreign bird
Total number of foreign birds = 175
Probability = 175/775
= 0.2258
= 0.226
C.
Please check attachment for the calculation of answer part c.
Thank you!
A ball of radius 17 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
Answer:
19,133.067Step-by-step explanation:
Volume of the ball (spherical in nature) Vb = 4/3πrb³
Volume of the hole Vh = 4/3πrh³
rb is the radius of the ball
rh is the radius of the hole
If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:
V = Vb - Vh
V = 4/3πrb³ - 4/3πrh³
factor out the like terms;
V = 4/3π(rb³-rh³)
Given
rb = 17
rh = 7
V = 4/3π(17³-7³)
V = 4/3π(4913-343)
V = 4/3π(4570)
V = (4π*4570)/3
V = 57,399.2/3
V = 19,133.067
Hence the volume of the resulting solid is 19,133.067
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]
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:
-11, -8,-5, -2...
What is the 100th term in this sequence?
Answer:
298.
Step-by-step explanation:
formula- n in the next term is (n+3)
basically adding three
3x100=300
-2+300=298
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]
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
How many solutions does -3+9v=8v have
Answer:
-3 = 8v-9v
-3 = -1v
v = -3/-1
v = 3
ONE SOLUTION
a garden store is making seed package . Each package contains 35 seeds. There are 1960 seeds available. How many seed package can be made ?
Divide total seeds by seeds per package:
1960 / 35 = 56
56 packages can be made.
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
Plz help with A and D!
Answer:
Yes it's B or C
Step-by-step explanation:
Please help someone I’m miserable I’ll pay Lol
Answer:
7,6 1/2, 5 here are your answers welcome
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.
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
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
The slope of a line is -7 what is the slope of a line parallel to it
Answer: The slope is -7
Step-by-step explanation:
When a line is parallel to another line it means that they will never meet. This requires the slope to be the same, so no matter the line, if it is parallel to a line with a slope of -7, then its slope is also -7.
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:
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
Can someone help me with these?
Answer:
Luzilândia baiana não ia já ouvi falar em Maranhão que e Rosa do Brasil na rocha godprl e abaixa e viu neon
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:
3x>9
Which of the following sentences is the word equivalent of the expression above?
The product between 3 and a number is no less than 9
The product between 3 and a number is greater than 9
The product between 3 and a number is no more than 9
The product between 3 and a number is less than 9.
Answers to the entire test:
Step-by-step explanation:
1. C. a<b
2.A. x >_0
3. A. The product between 3 and a number is greater than 9
4. B. The difference of 16 and the product of 5 and a number is no less than 1
5.B. 6(x-4)<_20
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:
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
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
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: