Answer:
4 better explanation inbox
Step-by-step explanation:
the 7th term of a Gp is 192 and it common ratio is 2 find the first term
[tex]n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} a_7=\stackrel{7^{th}\ term}{192}\\ 7=\textit{term position}\\ a_1=\textit{first term}\\ r=\stackrel{\textit{common ratio}}{2} \end{cases} \qquad \qquad a_7=a_1\cdot 2^{7-1} \\\\\\ 192=a_1\cdot 2^6 \implies 192=64a_1\implies \cfrac{192}{64}=a_1\implies \boxed{3=a_1}[/tex]
Is there a proportional relationship between a planet’s diameter and its distance from the sun? Explain.
Answer:
Yes there is a proportional relationship
Step-by-step explanation:
If we look at earth and the sun, the diameter of the sun is 108 times that of the diameter of earth, and the average distance between the earth and sun is 108 times the suns diameter.
El primer término de una progresión geométrica es 3 y el séptimo 12 288. Hallar la suma de los siete términos.
Answer:
16383
Step-by-step explanation:
El primer término de la progresión geométrica es 3 y lo llamaremos [tex]a[/tex].
Se tiene que una progresión geométrica es de la forma:
[tex]a, ar, ar^2, ar^3, ar^4, \cdot \cdot \cdot[/tex]
Donde [tex]r \neq 0[/tex] y es la proporción es común. Por lo tanto si el séptimo número de la sucesión es 12.288 este se puede re-escribir como:
[tex]ar^6 = 12.288[/tex]
Si se resuelve la ecuación para hallar [tex]r[/tex] se tiene
[tex]r = \sqrt[6]{\frac{12.288}{a} } = \sqrt[6]{\frac{12.288}{3} } = \sqrt[6]{ 4096} = 4[/tex]
Ahora se halla cada número de la progresión geométrica entre 1 y 7 para finalmente sumarlos
[tex]ar^0+ar^1+ar^2+ar^3+ar^4+ar^5+ar^6[/tex]
[tex]3+12+48+192+768+3072+12288[/tex] = 16383
Por lo tanto la sumatoria de los primeros [tex]7[/tex] términos de la sucesión son 16383
population growth problem: the deer population in georgia was 450,000 in 2010, and the population doubles every 5 years. in what year will the deer population in georgia reach 1 million
what is the numerical answer?
Answer:
x = 3
Step-by-step explanation:
In a parallelogram the diagonals bisect each other , then
6x + 11 = 5x + 14 ( subtract 5x from both sides )
x + 11 = 14 ( subtract 11 from both sides )
x = 3
Can someone please help me
Answer: i don''t know the answer im sorry i hope someone helps you :)
Step-by-step explanation:
36,000÷?=90 PLS HELP
Answer:
Easy
Step-by-step explanation:
Answer: 36,000 divided by 90 is 400
Answer:
400
Step-by-step explanation:
PLEASE HELP WITH THIS QUESTION
Answer:
which question can I help you
Last year, wind turbines along a hilly ridge had an average output of 390 kilowatt hours per year. The turbines were upgraded, and now their average annual output is 30% more.
What is the new average yearly output?
kilowatt hours=
30% × 390 = 117
= 390 - 117
= 507 kw/h
A) 37.68 square inches B) 72.52 square inches C) 108.12 square inches ) D) 113.09 square inches
Answer:
The answer is D.
Step-by-step explanation:
Radius is half of diameter. So the radius of the circle is 6 in.
The formula for getting the area of circle is:
A = π[tex]r^{2}[/tex] π = 3.1416
A = (3.1416)(6)[tex]^{2}[/tex]
A = (3.1416)(36)
A = 113.09 square inches
find the integral.......
Answer:
1/5(2ln|x|+3*5^1/3)+c
Step-by-step explanation:
the smallest 3 digits even number formed form 5,6,3 is
Answer:
3,5,6
Step-by-step explanation:
because 300 divided by 2 is 150
50 divided by 2 is 25
and 6 divided by 2 is 3
A cable is 40 decimeters long. How long is the cable in meters?
Be sure to include the correct unit in your answer.
Answer:
4 Meters
Step-by-step explanation:
Formula
divide the length value by 10
4
b(x) = 16.22 – 25
bx)
Use the drop-down menus to factor the expression and find the zeros of b(x).
Answer:
1) (4x)² - (5)²
2) (4x + 5) (4x -5)
3) Zeros of b are [tex]\frac{5}{4}[/tex] and [tex]\frac{-5}{4}[/tex] (can also be 1.25 and -1.25)
Phyllis invested $50,000 in two different types of stock. The first type earned 10% and the second type earned 15%. If the profit on the 15% stock was $2,500 more than the profit on the 10% stock, how much did Phyllis invest in the 15% stock?
Answer:
$ 30,000
Step-by-step explanation:
0.15(50,000 - x) - 0.1x = 2,500
7,500 - 0.15x - 0.1x = 2,500
7,500 - 2,500 = 0.15x + 0.1x
5,000 = 0.25x
5,000/0.25 = x
x =20,000
50,000 - 20,000 = 30,000
0.15 * 30,000 = $4,500
0.1 * 20,000 = $2,000
$4,500 - $2,000 = $2,500
Solve for the missing variable
Answer:
x = 7.5.
The two lines on the side of the triangle in the screenshot show us that the two lines made are the same length. So the difference between the first two values, i.e. 22.3 and 14.9 is the same difference between 14.9 and x.
Step-by-step explanation:
hope this helps. . .<3
good luck! uωu
Answer:
Step-by-step explanation:
14.9 is the middle value of x and 22.3. So your formula looks like this.
(x + 22.3) / 2 = 14.9 Multiply both sides by 2
2(x + 22.3) / 2 = 14.9*2 Remove the brackets.
x + 22.3 = 29.8 Subtract 22.3 from both sides
x = 29.8 - 22.3
x = 7.5
10. Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 3 liters of natural oil for every 4
liters of synthetic oil. In order to make 518 liters of Petrolyn oil, how many liters of natural oil are needed?
Step by step please
you have the ratio of natural:synthetic so;
3:4
3+4=7
357/7=51
3*51:4°51
153:204
therefore, it'd be 204 litres of synthetic oil!!
i hope this helps you!!
Incredibly, Enzo wins 5 tickets from every game, and Beatriz wins 11 tickets from every game. When they stopped playing games, Enzo and Beatriz had won the same number of total tickets.
What is the minimum number of games that Enzo could have played?
Answer:
Enzo must have played 11 games.
Step-by-step explanation:
Since Enzo earns 5 tickets from every game and Beatriz wins 11 tickets from each game, we have to find the LCM (Least Common Multiple) since they earned the same amount of tickets when they stopped.
The LCM of 11 and 5 is 55.
To see how many games they both played we have to divide the amount of tickets they earn each time from the LCM (55).
Since Enzo earns 5 tickets from each game and both Enzo and Beatrice earned 55, Enzo must've played 11 games.
(If that makes sense lol)
Please hurry will mark brainliest if you answer correctly
2 (3m + 1)²
Expand and simplify
[tex]\huge\text{\bf Hey there!}[/tex]
[tex]\large\boxed{\mathsf{2(3m + 1)^2}}\\\large\boxed{\mathsf{\rightarrow 2\times (3m + 1)\times 3(3m + 1)}}\\\large\boxed{\text{\bf SIMPLIFY IT}}\ \large\boxed{\ \uparrow}\\\large\boxed{\mathsf{\rightarrow 18m^2+ 12m + 2}}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{18m^2 + 12m + 2}}}}\huge\checkmark[/tex]
[tex]\huge\text{\bf Good luck on your assignment \& }\\\huge\text{\bf enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
trevin puts 8 gallons of
Answer:
24.75 is answer
Step-by-step explanation:
Answer:
That was a good start, but we need the rest of the question.
Step-by-step explanation:
A camera is on sale for $130. After a 7.875% sales tax is added, what is the total cost of the camera?
How do you do -9-(-2)-(-6)-4?
Dylan had 300 5p coins in a box last month. He now has 360 5p coins. Find the percentage increase.
Therefore the percentage increase is 72
72A wall that is 12 feet high and 15 feet wide is to be painted, but the wall has two rectangular windows (which should not be painted). If each window is 3 feet by 5 feet, determine the area of the space to be painted.
Answer:Measure length of each wall including doors and windows. Find the total square feet of the wall(s) by multiplying ceiling height by total wall length.
Step-by-step explanation:
The required area that is to be painted is given as 150 square feet.
Given that,
A wall that is 12 feet high and 15 feet wide is to be painted, but the wall has two rectangular windows (which should not be painted). each window is 3 feet by 5 feet,
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Area of the wall = 12 × 15 = 180 square feet
Area of the two windows, = 2 × 3 × 5 = 30 square feet
Area to be painteded = 180 - 30 = 150 square feet,
Thus, the required area that is to be painted is given as 150 square feet.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Please help
Consider the graph of g(x)= 2-8x12. identify the y- intercept, the vertex, and the zero of the functions.
The American customer satisfaction index scores of McDonalds restaurants grew from 61 in 2002 to 71 in the year 2014. Find the average rate of change for the data. Show work.
Answer:
[tex]\large\sf{average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}[/tex]
Step-by-step explanation:
Given the American customer satisfaction index scores that increased from 61 in 2002, to 71 in 2014:
In order to solve for the average rate of change, we could simply use the average rate of change formula:
Average rate of change = Change in output/Change in input
[tex]\huge\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}}[/tex]
Let (x₁, y₁) = (61, 2002)
(x₂, y₂) = (71, 2014)
Substitute these values into the average rate of change formula:
[tex]\BIGG\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}\:=\frac{2014\:-\:2002}{71\:-\:61}\:=\:\frac{12}{10}\:=\:\frac{6}{5}}[/tex]
[tex]\large\bf\sf{Therefore,\:the\:average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}[/tex].
Solve for x:
Yeah can't come in3x+7x=10x
Answer:
#happy learningStep-by-step explanation:
#brainly phI need help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
The function f(t) = t2 + 4t - 14 represents a parabola.
Part A: Rewrite the function in vertex form by completing the square. Show your
work.
Part B: Determine the vertex and indicate whether it is a maximum or a minimum on
the graph. How do you know?
Part C: Determine the axis of symmetry for f(t).
Answer:
a: [tex]f(t)=(t+2)^2-18[/tex]
b: vertex: (-2, -18)
minimum
c: x = -2
Step-by-step explanation:
Completing the square is difficult to explain in words. but I'll try my best. Let me know if you need any more information.
Part A ===============
Start with the given function in this form:
[tex]f(x)=ax^2+bx+c\\t^2+4t-14[/tex]
We need an additional number, d, and we'll calculate it like this:
[tex]d=(\frac{b}{2a})^2 \\\\d=(\frac{4}{2(1)} )^2\\d=2^2\\d=4[/tex]
d needs to be added and subtracted at the same time. That way we do not change the value of the expression:
[tex]ax^2+bx+d-d+c\\\\t^2+4t+4-4-14[/tex]
And you can separate them like this to make it easier to read:
[tex](t^2+4t+4) + (-4-14)\\(t^2+4t+4)-18[/tex]
Finally, we need to factor the trinomial in the parenthesis. Because we've completed the square, it's now a perfect square trinomial. The factored form is just:
[tex](x+e)^2[/tex]
where e is half of b, or the square root of c. That looks like this in our case, and you can also expand it to make sure.
[tex](t+2)^2\\\\(t+2)(t+2)\\t^2+2t+2t+4\\t^2+4t+4[/tex]
Put that all together and you get the answer:
[tex]f(t)=(t+2)^2-18[/tex]
Part B ===============
Vertex form is this:
[tex]f(x)=a(x-h)^2+k[/tex]
where (h, k) is the vertex and a is the scale factor.
In part A, we converted the given function into vertex form. Looking at that, you can see the vertex is at (-2, -18), and the scale factor is 1. When the scale factor is positive, the parabola faces upwards. When it's negative, the parabola faces downwards.
The scale factor is a positive 1 in this case, and if you picture that in your mind, the vertex is at the very lowest point, or the minimum, of the parabola.
Part C ==============
The axis of symmetry is always on the vertex, and that is because the vertex is the exact point where the parabola changes direction from positive to negative, or negative to positive.
The vertex of this parabola is (-2, -18), so the axis of symmetry is at x = -2.
Sorry if that got too long and hard to follow, I can clarify any part of it if needed.