Answer:
The nth term of the geometric sequence is is 32805
Step-by-step explanation:
The nth term of a geometric sequence is given by
[tex]$ a_n = a_1 \cdot r^{n - 1} $[/tex]
Where [tex]a_1\\[/tex] is the first term and [tex]r[/tex] is the common ratio
We are given the fourth term of this sequence
[tex]a_4 = -135[/tex]
The common ratio is
[tex]r = -3[/tex]
Once we find the 1st term then we can find any other term.
[tex]a_4 = a_1 \cdot r^{4 - 1} \\\\a_4 = a_1 \cdot r^{3} \\\\-135 = a_1 \cdot (-3)^{3} \\\\-135 = a_1 \cdot (-27) \\\\a_1 = \frac{-135}{-27} \\\\a_1 = 5[/tex]
So the ninth term of this geometric sequence is
[tex]a_n = a_1 \cdot r^{n - 1} \\\\a_9 = a_1 \cdot r^{9 - 1} \\\\a_9 = a_1 \cdot r^{8} \\\\a_9 = 5 \cdot (-3)^{8} \\\\a_9 = 5 \cdot (6561) \\\\a_9 = 32805[/tex]
Therefore, the nth term of the geometric sequence is is 32805
I NEED HELP ASAP :(
Use the distributive property to write the sum as a product.
(-1)·2+(-1)·ₓ
Answer:
−2 − x
Step-by-step explanation:
Answer:
-2-x
Step-by-step explanation:
distribute the the like terms and separate the problem then solve it.
PLEASE HELP! WILL MARK THE FIRST CORRECT ANSWER BRAINLIEST!
There are n gallons of gas in a tank. After x gallons have been used, in terms of n and x, what percent of the gas has not been used?
Answer:
((n-x)/n)*100
Step-by-step explanation:
The Answer is:
((n-x)/n)100
Solve.
6x2 + 7x – 20 = 0
Answer:
(3x + 4)(2x - 5)
[tex]6x^{2}+7x-20=0[/tex] = (3x + 4)(2x - 5)
Hope this helped! Have a great day!
What is the area of the triangle?
8
10
6
units
Answer:
A = 24 units^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
The base is 6 and the height is 8
A = 1/2(6) *8
A = 24 units^2
Which of the following graphs represents exponential decay?
Answer:
C
Step-by-step explanation:
C is the only viable answer, because it it the only one that decreases as x approaches infinity. Exponential decay decreases, hence the decay part.
The graph of the unknown function C represents exponential decay.
The correct option is C.
What is exponential decay?An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.
The exponential decay function:
Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.
Given:
Two graphs of the unknown functions are given.
And when the value of x approaches to positive infinity,
the value of y decrease exponentially.
And from the above definition,
the graph is C.
Therefore, the graph is C.
To learn more about the exponential decay;
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I NEED HELP QUICK! PLEASE
Answer:
(a, 0), (0, b), (-a, 0), (0, - b)
Step-by-step explanation:
Since, all vertices of the rhombus lie in the x and y axes.
x - axis is given by a and y - axis is given by b.
Therefore, coordinates of vertices lying on x - axes will be (a, 0) & (-a, 0) and coordinates of vertices lying on y - axes will be (0, b) & (0, - b).
Which sequence shows a pattern where each term is 1.5 times the previous term?
–4, 6, –9, 13.5, …
10, 15, 25, 40, …
98, 99.5, 101, 102.5 …
–200, –300, –450, –675, …
Answer:
-200, -300, -450, -675
The geometric sequence which shows a pattern in which each term is 1.5 times the previous term is A = -200 , -300 , -450 , -675 ...
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the geometric progression be represented as A
Now , the value of A is
A = -200 , -300 , -450 , -675 ...
The common ratio of the GP = second term / first term
On simplifying , we get
r = -300 / -200
r = 3/2
r = 1.5
Therefore , each term is 1.5 times the previous term
Hence , the GP is solved
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HELPPPPPP PLEASEEEEE I HAVE 50 min left
Answer:
A
Step-by-step explanation:
Solving for 1995, which is 5 years after 1990, so plug in 5 as t.
n= 1.76(5)² - 13.32(5) + 41
n= 44 - 66.6 + 41
n= 18.4
n≈ 18 days
simplify the expression 125^1/3
Step-by-step explanation:
We have:
(125)^1/3
= (5^3)^1/3
= 5^(3*⅓)
= 5 Ans.
Write an absolute value expression to represent the distance between -1 and -6 on a number line. then evaluate the expression.
Answer:
5.
Step-by-step explanation:
That would be |-1 - (-6)|
= |-5|
= 5.
Find the area of the following shapes:
Answer:The area is [tex]A=\frac{YZ+XW}{2}h=\frac{7+3}{2}(4)=20[/tex]
YZ = 5-2=3
XW = 8-1 = 7
h = 5-1=4 (height)
Answer:
20
Step-by-step explanation:
Split it up so it would be like this.
Small right triangle with dimensions of 1 x 4 = 2
Square 4 x 3 = 12
Other right triangle (the one on the right) 3 x 4 = 6
2 + 12 + 6 = 20
Hope this helps!
Leah drives her truck 270KM in the same time Deborah drives her car 250KM. If Leah drives 4km/h faster than Deborah. What is each of their driving speeds?
Answer:
Leah: 54km/h
Deborah: 50 km/h
Step-by-step explanation:
250+4x=270
4x=20
x=5
both drove 5 hours
Deborah:
250/5=50km/h
Leah:
270/5=54km/h
15POINTS OR 22 IDK
Solve 4(x−9)=4(9+1/3x).
Answer:
x = 27
Step-by-step explanation:
4(x−9)=4(9+1/3x).
Divide each side by 4
(x−9)=(9+1/3x)
Subtract 1/3 x from each side
x - 1/3x -9 = 9+1/3x -1/3x
2/3x -9 = 9
Add 9 to each side
2/3x -9+9 = 9+9
2/3x = 18
Multiply each side by 3/2
3/2 * 2/3x = 18*3/2
x = 27
Answer:
27
Step-by-step explanation:
4(x−9)=4(9+1/3x)
4x-36=36+(4/3)*x
(12/3)*x-36=36+(4/3)*x
(8/3)*x=72
8x=216
x=27
Remove the parentheses and simplify the expression.
2(2y-5)-8
Answer:
4y-18
Step-by-step explanation:
2(2y)+2(-5)-8
4y-10-8
4y-18
Hope this helps!
Answer:
2x2y - 2x5 -8
4y - 10 -8
4y -18
Question 1(Multiple Choice Worth 1 points)
(08.01 MC)
What are the zeroes of f(x) = x2 − x − 2?
x = −2, 1
x = 2, −1
x = −2, −1
x = 2, 1
Answer:
I think its x = 2 , -1 but i don't really know how to explain things sorry
Solve this inequality.
8x + 6 < 54
A. x < 6
B. x < 7.5
C.x < 14
D. x < 384
Answer:
x < 6
Step-by-step explanation:
8x + 6 < 54
Subtract 6 from each side
8x+6-6 < 54-6
8x < 48
Divide each side by 8
8x/8 < 48/8
x < 6
A survey was done of 160 households to find out if they watch cable television, internet television, or
both. Of the 160 households, 109 watched cable television, 88 watched internet television, and 7
watched neither. If a household was selected randomly, what would be the probability that they
watched both cable and internet television?
1) 0.175
2) 0.275
3) 0.375
4) 0.475
Answer: 2) 0.275
Step-by-step explanation:
Total households = 160
Watch Cable TV: 109
Watch internet TV: 88
Watch neither: 7
We want to find the number that watch both of them.
Now, the total number of housholds that watch at least one thing is:
160 - 7 = 153.
Now, if we add the number that watch by cable and the number that watch by internet we have:
109 + 88 = 197
The difference is:
197 - 153 = 44
This means that we have 44 households that watch both things.
This is because we are counting those 44 in the 109 for cable and also in the 88 for internet (because they watch both) and this is why we have a surpass.
Then the number that watch both things is 44, then the probability that a random household watched both things is equal to:
P = 44/160 = 0.275
The correct option is 2
Given the piecewise function shown, find the value of h(–6). A) 1 B) 26 C) -23 D) -6
Answer:
-22
Step-by-step explanation:
Which part of the function is valid when x = -6
The first part
h(-6) = 4x+2 and let x = -6
=4(-6) +2
= -24 +2
=-22
Answer:
-22
Step-by-step explanation:
20. Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. She can spend no more than
$42 on art supplies.
a. Write an inequality that shows how many bottles of paint, x, and boxes of colored pencils, y, Carmen can buy.
b. Name three different solutions to the inequality.
Answer:
(5, 8), (7, 1), (15, 3)
Step-by-step explanation:
a) The variables are defined in the problem statement. The total expenditure must satisfy ...
2.00x +3.50y ≤ 42.00
b) Possible solutions include ...
(x, y) ∈ {(5, 8), (7, 1), (15, 3)}
__
These were chosen by looking at the attached graph of the equation.
Select the ordered pair that is a solution
of this equation.
x-2y = -8
Click on the correct answer.
(2,1)
(2,5)
(5.2)
Answer:
(2,5)
Step-by-step explanation:
Choose values for x and substitute in to find the corresponding y values.
(2) - 2y = -8
2 = 2y - 8
10 = 2y
5 = y
(2,5)
The fraction models below represent two fractions of the same whole. How much of the Fraction 3 over 8 is in the Fraction 1 over 4?
Answer:
2/3
Step-by-step explanation:
Your model may show you that 1/4 = 2/8. Of course that will be 2 out of 3 of the 3/8 making up the other fraction of the same whole.
1/4 = 2/3 of the fraction 3/8
The diameter of a circle is 40 m. Find the area of the circle in terms of π. 40π m2 80π m2 400π m2 160π m2
Answer:
[tex]400\pi m^2[/tex]
Step-by-step explanation:
If the diameter is 40, the radius is 20.
The area is 400π
The largest colored pencil drawing ever documented is 500 yards long. How many feet is that? Show or explain your reasoning.
Answer:
1500 ft
Step-by-step explanation:
1 yd=3 ft
500 yd*3 ft/yd=1500 ft
Answer:
1500 ft
Step-by-step explanation:
Multiply 500 yds by the conversion factor derived from 1 yd = 3 ft:
500 yd 3 ft
----------- * ----------- = 1500 ft
1 1 yd
What's the distance between - 14 and -5 on a number line?
A) 34
B) 11.7
D) 68
Question 15 (5 points)
Answer:
9
Step-by-step explanation:
Take -14 minus -5
-14 - (-5) Distribute the negative to -5
-14 + 5 Add
-9 Since distance can't be negative take the absolute value of -9
|-9| = 9
Answer:
the distance is 9
Step-by-step explanation:
its 9 because 14-5 = the distance of them on a number line
help help help helphelp h;i
Answer:
2
Step-by-step explanation:
It's 2 because the numbers go up by 2 each time the mean is identified meaning that the mean of each is 4.
Answer:
I got 2
Step-by-step explanation:
Which question can best be answered by finding the volume of a figure?
How much gas is needed to fill a gas tank?
How much wrapping paper is needed to cover a prism?
How much wood is needed to frame a window?
How much material is needed to line a garden with a sheet of weed-blocking material?
Answer:
The first one i think
Step-by-step explanation:
Bc the amount of gas inside a gas tank is the length times width times height
and the other answers are just area or surface area i think
i might be wrong tho
Answer:
the first answer
Step-by-step explanation:
because volume is the inside of the shape
2y + 18x = 2x(x + 9)
3(y - 4) = 9x - 12-6
Help! Please show work and match the algebraic functions to the correct graph.
Answer:
2y + 18x = 2x(x + 9) ⇒ Graph II
3(y - 4) = 9x - 12-6 ⇒ Graph I
Step-by-step explanation:
Graph II is the only non-linear function since, correctly, it is written that it is not straight, i.e. it has a varying gradient/rate of change.
Answer:
Graph 2 is a curved graph and matches x^2 measured data.
Step-by-step explanation:
The graphs below have the same shape. What is the equation of the red
graph?
Answer:
A
Step-by-step explanation:
Since the shape of both graphs is the parent parabola form, and g(x) is just shifted up 2 instead of 5, its equation is [tex]2-x^2[/tex], or answer choice A. Hope this helps!
Please answer right, I've been stuck on this test for an hour.
Answer:
D
Step-by-step explanation:
f(x) has a horizontal asymptote of -4 while g(x) has horizontal asymptote of zero, in both functions, y is closer to infinity as x is closer to negative infinity,
A and B are definitely incorrect
while x gets closer to infinity, in f(x) y gets closer to -4, while in g(x) y gets closer to 0, thus they have a different end behavior as x approaches infinity
So, C is wrong, since it says that they have the same end behavior as x approaches infinity
Thus, D is correct
65°
6
B
с
?
BC
Round your answer to the nearest hundredth.
Answer:
5.44 = BC
Step-by-step explanation:
sin theta = opp /hypotenuse
sin 65 = BC / 6
6 sin 65 = BC
5.437846722 = BC
To the nearest hundredth
5.44 = BC
