Hence, the sum of a 7-term geometric series is:
-32766.
<h3><u>Step-by-step explanation:</u></h3>We have to find the sum of a 7-term geometric series (i.e. n=7) if the first term(a) is -6, the last term is -24,576, and the common ratio(r) is 4.
We know that the sum of the 7-term geometric series is given as:
On putting the value of a,n and r in the given formula we have:
Hence, the sum of a 7-term geometric series is:
-32766.
1. I'm assumig that the paths are perfect parabolas
this means that their general forms can be written in
it's easier to find vertex form first then expand to get general form
vertex form is where the vertex is (h,k) and a is a constant
firework #1
vertex is (10,50), so (h,k)=(10,50) and h=10, k=50
to find the value of , subsitute another point
(0,0)
so the equation in vertex form is
expand to get general form
2.
same as last time
vertex is (10,72) so (h,k)=(10,72) so h=10 and k=72
equation is
find
use another point
(0,22)
so the equation in vertex form is
3.
range is the numbers that h is allowed to be
think about what h represents. it represents the height of the rocket
from the graph, we can see that the lowest possible height is 0yd and the highest height is 50yd
so range is 0 to 50 or 0≤h≤50
domain is the numbers that t is allowed to be
think about what t represents. it represents how long the rocket has been flying
it will stop flying when it hits the ground or at t=20
it starts flying at t=0
so domain is from 0 to 20 or 0≤t≤20
Answer:
Yes, the price the school pays each year in entrance fees is proportional to the number of students entering the zoo
Step-by-step explanation:
Relationships between two variables is proportional if their ratios are equivalent.
In 2010, the school paid $1,260 for 84 students to enter the zoo.
Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo =
In 2011, the school paid $1,050 for 70 students to enter the zoo.
Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo =
In 2012, the school paid $1,395 for 93 students to enter the zoo.
Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo =
As ,
the price the school pays each year in entrance fees is proportional to the number of students entering the zoo.
Answer:
m∠HMO=102°
Step-by-step explanation:
we know that
In a Rhombus the diagonals bisect the angles and opposite angles are equal
In this problem
Angles HMO and HTO are opposite angles
m∠HMO=m∠HTO
m∠HTM=(1/2)m∠HMO ----> because the diagonals bisect the angles and opposite angles are congruent
substitute the values
solve for x
<em>Find the measure of angle HMO</em>
m∠HMO=(12x-6)°
substitute the value of x
m∠HMO=(12(9)-6)=102°
see the attached figure to better understand the problem
