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
Question 5
3+7(2-5)+4
-26
The right answer is -14
please see the attached picture for full solution
Hope it helps
Josh has $9.00. Bagels cost $0.70 each and a small container of cream cheese cost $2.50. What is the greatest number of bagels Josh can buy if he buys one small container of cream cheese?
Answer:
Josh's 9.00
Bagel cost 0.70
Ice cream 2.50
9.00–2.50=6.50
6.50
[tex]6.50 \div 0.70 7[/tex]
=10
PLZZ HELPP Why is it important to simplify rational expressions before multiplying or dividing? How do you determine that a rational expression is in simplest form? Compare the process to addition and subtraction.
Answer:
"Simplifying rational expressions will make the further calculations easier since the variables to work with will usually be smaller.
To determine that a rational expression is in simplest form we need to make sure that the numerator and the denominator have no common variables."
Step-by-step explanation:
Which function has a negative discriminant value? On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (1, negative 16), and goes through (5, 0). On a coordinate plane, a parabola opens up. It goes through (negative 3, 5), has a vertex at (negative 1.5, 2.75), and goes through (0, 5). On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (0, 4), and goes through (2, 0). On a coordinate plane, a parabola opens down. It goes through (negative 1, negative 4), has a vertex at (3, 0), and goes through (5, negative 4).
Answer: On a coordinate plane, a parabola opens up. It goes through (negative 3, 5), has a vertex at (negative 1.5, 2.75), and goes through (0, 5).
Step-by-step explanation: this is the one with a negative discriminant value
Answer:
iTS BBBB
Step-by-step explanation:
Just did it.
Semicircle M has a radius of 15 inches. If an ant walks from A to B directly along diameter AB and a beetle
walks from A to B around ACB. how much farther, to the nearest tenth of an inch, does the beetle walk?
(1) 17.1
(2) 32.1
(3) 64.2
(4) 79.2
Answer:
A,17.1 in
Step-by-step explanation:
circumference of sphere=2πr
Beetle walks=πr=π×15=15π=15×3.14≈47.1 in
Ant walks=d=2r=2×15=30
difference=47.1-30=17.1 in
whar does it mean that one object has more density than the other object.
pls i need this it is due in not long i put 31 pts for who answers pls.
what is 15 divided by 82?
82 ÷ 15 = 5.4
Mixed number form: 5 ⁷/₁₅
Answer:
the answer is 5.4
Step-by-step explanation:
How does the graph show that the rate of change is constant?
A graph has a constant rate of change when the graph is linear and portrays a straight line. The slope will remain constant which forms the straight line in the graph.
Answer:
Because it is a straight line
Step-by-step explanation:
If it changed there would be curves, points, corners, zig zags, since this is straight, that means the R.O.C commonly known as slope, is not changing
I hope this helps u!
Pls give brainliest i had 40 down to 1 for no reason and a thx ;)
I always thank those who give me brainliest via their profile and comments
A. 1/2
B. 2
C. 1
D. -2
Is the C
Because 3+(-1) = 2
2:2= 1
Answer:
C
Step-by-step explanation:
answer asap please ! ill give brainliest
I don't know, sorry. :(
What is the value of x? Enter your answer in the box.
A. 180
B.82
C. 46
D. 98
Please answer help me
Answer:
D
Step-by-step explanation:
Because the angle with measure 82 and angle 1 are corresponding angles, their angles measure must be equal, and therefore angle 1 has measure of 82 as well. Since angles 1 and 2 are a linear pair, they must be supplementary, and angle 2 is therefore 180-82=98 degrees. Hope this helps!
[tex]answer = 98 °\\ solution \\ < 1 = 82(being \: corresponding \: angless) \\ < 1 + < 2 = 180(sum \: of \: angle \: in \: straight \: line) \\ or \: 82 + < 2 = 180 \\ or < 2 = 180 - 82 \\ < 2 = 98° \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
PLZ I need help, it's URGENT!
I don't know if my answers for problems 1-3 are correct, can someone help me please. Thx
Paul drives 728 miles in 14 days.
He drives the same number of miles each day.
How many miles does he drive in 1 day?
11 y + 4 one step equations
Joshua uses his thermometer and finds the boiling point of ethyl alcohol to be 75 degrees Celsius. He looks in a reference book and finds that the actual boiling point of ethyl alcohol is 80 degrees Celsius. What is his percent error?
Answer:
6.25%
Step-by-step explanation:
75 - 80 = -5
Absolute value of -5 is positive so -5 = 5
5 ÷ 80 = 0.0625 (1/16)
0.0625 × 100 = 6.25%
Joshua's percent error is 6.25%
A sector of a circle whose radius is 4 centimeters, has a central angle of 30 Which of the following. which of following represents the area of this sector in square centimeters?
(1). 12π/5
(2). 8π/15
(3). 4π/3
(4). 6π/5
Answer:
area of the sector =4π/3 cm²
Step-by-step explanation:
To find the area of the sector, we will follow the steps below;
first write the formula for finding area of a sector
area of a sector = Ф/360 × πr²
where r is the radius
from the question given
Ф= 30 and radius = 4 centimeters
we can proceed to insert the values into he formula above
area of a sector = Ф/360 × πr²
=30/360 ×π×4²
=1/12 ×π×16
=16π /12
=8π/6
=4π/3
area of the sector =4π/3 cm²
A museum opened at 8:00 a.m. In the first hour, 350 people purchased admission tickets. In the second hour, 20% more people purchased admission tickets than in the first hour. Each admission ticket cost $17.50.What was the total amount of money paid for all the tickets purchased in the first two hours? Show your work.
Answer: $13,475
Step-by-step explanation:
1st hour = 350
2nd hour = 420
Total 770 x $17.50 = $13475
hi can anybody give me the answer i will mark them as a brainliest
Answer:
[tex]48cm^2[/tex]
Step-by-step explanation:
Use the area of rectangle formula.
[tex]A=lw[/tex]
[tex]A=12 \times 4[/tex]
[tex]A=48[/tex]
Please help me with this
Answer:
Bottom left
Step-by-step explanation:
For it to be scalene, all 3 sides must be of different length, so cross off D. Acute means all angles are less then 90°, so cross off the top 2.
Za and Zb are complementary angles. Za measures 22º.
What is the measure of Zb?
Answer:
b = 68
Step-by-step explanation:
Complementary angles add to 90 degrees
a+b = 90
22+b = 90
Subtract 22 from each side
b = 90-22
b = 68
Answer:
68 degrees
Step-by-step explanation:
Complementary Angles: The sum of the angles is 90 degrees.
If angle a is 22 degrees, then...
a + b = 90
22 + b = 90
22 - 22 + b = 90 - 22
b = 68
That means that the measure of angle b is 68 degrees.
I hope this helps! Have a great day!
please be neat and will mark brain.;)
Answer:
the one with 47:is 43
the one with 52 is 38
the one with 63 is 27
and the one with 45 is 45
Step-by-step explanation:
these angles equal to 90
so you must subtract them from 90
Answer:
5: x=43
6: x=38
7: x=27
8: x=45
Please answer the question stated below
Answer:
2968
Step-by-step explanation:
First make 112% into a decimal, now its 1.12, add all the scooters' sales from all years and multiply by 1.12 then add that number to the total sales of the scooters
Answer:
725 + 579 + 696 = 2000 (What a coincidence)
112% = 112 / 100 = 1.12
Multiply the increase
2000 x 1.12 = 2240
2240 is the amount of scooters sold.
Step-by-step explanation:
Which is the most efficient way to solve this equation?
8=48
Add 8
8 to both sides of the equation.
Divide both sides of the equation by 48
Divide both sides of the equation by 8
Nothing. The equation is already solved
Don't guess please :(
A fair spinner A is spun 7 times. What is the probability of getting “Green” at least 5 times if there are 8 colors separated equally?
Answer:
[tex]6\frac{2}{3}[/tex]
Step-by-step explanation:
OK, so basically I'm pretty sure that you add all of them together and put it as a fraction over 3 so basically [tex]\frac{20}{3}[/tex] then simplify it into [tex]6\frac{2}{3}[/tex]
Point M divides AB such that AM:MB = 1:4. If A has coordinates (-4, 3) and B has coordinates (6, 8). What are the coordinates of M?
Answer:
Coordinates of M = [tex]\left ( -2,4 \right )[/tex]
Step-by-step explanation:
Given: AM:MB = 1:4, A has coordinates (-4, 3) and B has coordinates (6, 8)
To find: coordinates of M
Solution:
According to section formula, if M(x, y) divides line joining points [tex]A(x_1,y_1)\,,\,B(x_2,y_2)[/tex] in ratio [tex]m:n[/tex] then coordinates of point M are [tex]\left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )[/tex]
Put [tex]A(x_1,y_1)=(-4,3)\,,\,B(x_2,y_2)=(6,8)\,,\,m:n=1:4[/tex]
Therefore,
[tex](x,y)=\left ( \frac{6-16}{1+4},\frac{8+12}{1+4} \right )=\left ( -2,4 \right )[/tex]
What is the slope of the line containing (-1,8) and (3, -12)?
Answer:
-5
Step-by-step explanation:
We can find the slope since we have two points
m = (y2-y1)/(x2-x1)
= (-12-8)/(3 - -1)
= (-12-8)/(3+1)
= -20/4
= -5
Answer:
-5
Step-by-step explanation:We can find the slope since we have two points
m = (y2-y1)/(x2-x1)
= (-12-8)/(3 - -1)
= (-12-8)/(3+1)
= -20/4
= -5
Solve the inequality. Graph the solution set. 23 + 156 > 5(3b + 1)
Answer:
b<58/5
Step-by-step explanation:
Which of these triangle pairs can be mapped to each other using a reflection and a translation?
OL
A
R
K
K
Q
A
P
R
Answer: The first one
Step-by-step explanation:
It is being reflected over the x axis and It is translated
Write an equation of the line in slope-intercept form.
The line passing through (0, 1) and (-4,5)
Answer:
y=-x+1
Step-by-step explanation:
