You drop a ball from a height of 1.5 meters. Each curved path has 74% of the height of the previous path.
a. Write a rule for the sequence using centimeters. The initial height is given by the is term n = 1.
b. What height will the ball be at the top of the sixth path?
1) A(n) = 1.5 • (0.74)^x-1; 0.33cm
2)A(n) = 0.74 • (1.5)^x-1; 5.62cm
3) A(n) = 150•(0.74)^x-1; 33.29cm
4) A(n) = 150 • (74) ^x-1; 332,850,993,600cm
Answer:
[tex](a)\ A(n) = 150 * (0.74)^{n-1[/tex]
[tex](b)\ A(6) = 33.29cm[/tex]
Step-by-step explanation:
Given
[tex]a = 1.5[/tex] --- initial
[tex]b = 74\%[/tex] --- rate
Solving (a): The rule of the sequence
First convert [tex]a = 1.5[/tex] to centimeters
[tex]a = 1.5 * 100[/tex]
[tex]a = 150[/tex]
The equation is then calculated using the following geometric progression formula
[tex]A(n) = ab^{n-1}[/tex]
This gives:
[tex]A(n) = 150 * (74\%)^{n-1}[/tex]
Express percentage as decimal
[tex]A(n) = 150 * (0.74)^{n-1[/tex]
Solving (b): The height on the 6th path
This implies that:
[tex]n = 6[/tex]
So, we have:
[tex]A(6) = 150 * (0.74)^{6-1[/tex]
[tex]A(6) = 150 * (0.74)^5[/tex]
[tex]A(6) = 150 * 0.222[/tex]
[tex]A(6) = 33.3cm[/tex]
Someone help I really need help
Answer:
D
Step-by-step explanation:
its D because its saying what is greater or equal to 8 so the arrow is pointing to what larger and the it isn't negative 8 so it wouldn't pass the 0 so it would be D
Answer:
A. x[tex]\leq[/tex] -3
Step-by-step explanation:
20 m
21 m
What is the perimeter?
meters
Answer: 20+21+20+21=40+42=82
Step-by-step explanation:
Add up the sides
Multiply by 2
Try:
20+21=41
Multiply by 2:82
Answer:
82 meters
Step-by-step explanation:
to get the perimeter of a rectangle or square you have to add the lengths of all the four sides
P=20+20+21+21
P=2x20+2x21
P=2x(20+21)
P=2x41
P=82
Josie is creating 5 music playlists for her dance classes. She will use a total of 60 songs. Each playlist will have 7 older songs and the same number of newer songs.
Part A
Create an equation that can be used to determine the number of newer songs, n, Josie will have on each playlist.
Answer: pls answer
Step-by-step explanation:
Answer:60 divided by 7 =8.5
A fifteen-passenger van is rented for a family vacation. The van rental is $60 per day,
plus a $145 insurance fee. How many days can the van be rented if they want to spend no
more than $625 on the rental? Write and solve an inequality, let “d” represent days.
Answer:
3d
Step-by-step explanation:
$60 + $145 = $205
$205 x 3 = $615
Explain why 4 x 3/5 =(4 x 3) 5 = 12/5
Answer:
---
Step-by-step explanation:
4x3=12 and originally, (4x3) is dividing by 5. So 12/5 makes sense.
---
hope it helps
what is 50% off 4
What percent 20 of 15 is
Answer:
$2 and 75%????
Step-by-step explanation:
I'm not 100% sure but I think thats right
Ariel receives $48 for working a full day doing inventory at a hardware store. How much can she get for working 4/8
of a day?
Answer:
24 dollars its easyyyyyyyyyyyy
Step-by-step explanation:
what if its "greater than 9"
Answer:
its gotaa be a number thats atleast 10
Step-by-step explanation:
Answer: #’s 10 or above will work
21. Find the volume of the figure below.
26.5 yd
A. 2,557.51 yd
B. 2,383.79 yd3
C. 2,109.25 yd
D. 2,792.39 yd
9.6 yd
Answer:
b 2,557.51
Step-by-step explanation:
5x + y = 27
- 10x + 7y = -36
what is the x-coordinate?
Answer: Y = 2 X = 5
Step-by-step explanation:
You would get this answer because 5x + y =27 then you would replace the x with 5 and you get 25 then if you turn y into 2 you get 27 which is what you are looking for same for the other problem hope this helps have a good day
Answer:
The answer is x=5
Step-by-step explanation:
9y=18
y=2
5x=25
x=5
i will give Brainiest if your right
Answer:
A. d=q+4
Step-by-step explanation:
Help please !!! Need help
Answer:
234
Step-by-step explanation:
From the given information :
The 4th term, a4
a1 = 3
a2 = 4(a1) + 2
a2 = 4(3) + 2 = 14
a3 = 4(a2) + 2
a3 = 4(14) + 2
a3 = 58
a4 = 4a3 + 2
a4 = 4(58) + 2
a4 = 232 + 2
a4 = 234
Solve the following system of equations by substitution method. x+2y=5 2x+y=4
Answer: x=1 and y=2
Step-by-step explanation:
\frac{-3y}{-3}=\frac{-6}{-3}
10-3y-10=4-10
2\left(5-2y\right)+y=4
Find the volume. Round to the nearest tenth if necessary?
answer:
v=1282.8 or 1282.82
step-by-step explanation:
v=πr²h/3
=π*7²*25/3
=1282.82
1282.82 (5 or more raise the floor 5 or less let it rest)
=1282.8
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
Find all of the solutions for the following equation. 2 sin q + 1 = 0
https://socratic.org/questions/how-do-you-solve-2sinx-1-0#270365
The National Sleep Foundation recommends that teenagers aged 14 to 17 years old get at least 8 hours of sleep
per night for proper health and wellness.
A statistics class at a large high school suspects that students at their school are getting less than 8 hours of
sleep on average. To test their theory, they randomly sample 42 of these students and ask them how many hours
of sleep they get per night. The mean from the sample is 2 = 7.5 hours.
Here's their alternative hypothesis:
H : The average amount of sleep students at their school get per night is...
What is an appropriate ending to their alternative hypothesis?
Answer:
Less than 8 hours
Step-by-step explanation:
Kahn
Ms. Strickland is practicing the piano for an upcoming recital. The table list the number of minutes she practiced in the past few weeks.
a. What is the median number of minutes she practiced?
b.What is the range of the data?
c.What is the mean number of minutes that she practiced?
Answer:
a. 20
b. 32
c. 20.6
Step-by-step explanation:
Median is the middle number- so put the numbers in order from least to greatest, and find the middle number
8, 10, 10, 15, 15, 20, 20, 20, 25, 25, 25, 35, 40
Median is 20
the range is the difference between the largest and the smallest value- 40-8 is 32
Mean is the average- add all the values and divide by the total number of values (13)
268 minutes divided by 13 days
mean is about 20.6 minutes
Help please!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Switch the Equation & Expression
Step-by-step explanation:
An expression doesn't have an =, but an equation does
The ratio of of distance between two places A and B and B to C is 4:5. If the distance between A to C is 72 km, find the distance between A to B.
Antoine watches a movie that is 1 hour and 45 minutes long. Which number line
could show when Antoine watches the movie?
Answer:
I am pretty sure It is the top right corner
Using the identity sin²theta + cos²theta = 1, find the value of tan , to the nearest hundredth, if cos theta = 0.57 and 0 < theta <
π/2
Answer:
tan*=sin*/cos*
sin*=1-(0.57)^2
sin*=0.6751
tan*=0.57/0.6751
=0.844
Check picture, 7th grade work.
Find the volume of a rectangular pyramid if the height is 13 m. and the base sides are 12m. and 15 m.
Answer:
it should be 780 m cubed.
Step-by-step explanation:
the formula is V= 1/3 (l × w × h) if you want to check.
One hexagonal prism has dimensions that are triple the dimensions of a similar hexagonal prism. If the volume of the smaller prism is 4.75 cm3, what is the volume of the larger prism?
4.75 cm3
14.25 cm3
42.75 cm3
128.25 cm3
Answer:
128.25 cm³
Step-by-step explanation:
Volume of an hexagonal prism:
The volume of an hexagonal prism is given by:
[tex]V = \frac{3\sqrt{3} a^2h}{2}[/tex]
In which a and h are the dimensions.
Triple the dimensions
This means that the volume will be multiplied by 3^3, 27(as there are 3 terms which are dependent of the dimensions, a² and h).
If the volume of the smaller prism is 4.75 cm3, what is the volume of the larger prism?
27*4.75 = 128.25 cm³
128.25 cm³ is the answer
Answer:
128.25 cm3
Step-by-step explanation:
What are the zeros of this function (g)(x)=3x^2-33x-180
Answer:
3x²-33x-180=3(x²-11x-60)=3(x-15)(x+4)
The roots are x-15=0, x=15 and x+4=0, x=-4
The double number line shows that in 2 minutes, Pogo the dog can fetch a frisbee 6 times.
0
Time
{
(minutes)
2
+
+
+
Fetches
0
6
Based on the ratio shown in the double number line, how many times will Pogo fetch the frisbee in 4
minutes?
times
Do 4 problems 0000
Answer: try mat way
Step-by-step explanation:
If the value of a in the quadratic function f(x) = ax2 + b3 + cis , the function will:
open down and have a maximum
open down and have a minimum
open up and have a minimum
open up and have a maximum
If the value of a in the quadratic function f(x) = ax² + bx + c is 1/2, the function will: C. open up and have a minimum.
What is the general form of a quadratic function?In Mathematics and Geometry, the general form of a quadratic function can be modeled and represented by using the following quadratic equation;
y = ax² + bx + c
Where:
a and b represents the coefficients of the first and second term in the quadratic function.c represents the constant term.Since the leading coefficient (value of a) in the given quadratic function f(x) = ax² + bx + c is positive 1/2, we can logically deduce that the parabola would open upward. Also, the value of the quadratic function f(x) would be minimum.
Read more on quadratic functions here: brainly.com/question/29499209
#SPJ1
Complete Question:
If the value of a in the quadratic function f(x) = ax² + bx + c is 1/2, the function will:
open down and have a maximum
open down and have a minimum
open up and have a minimum
open up and have a maximum
( x + y + 2 ) ( y + 1 ) , ILL GIVE BRAINLIST
Find the area of the shape below. *
PLSS HELP
Answer:
92
because the formula for the triangle is 1/2×b×h
and the formula for the rectangle nos l×w and then add those.
Answer:
A = 60yd
Step-by-step explanation:
First "separate" the rectangle and the triangle in your head.
Now calculate the area of the rectangle and then the area of the triangle.
Rectangle: 6*8 = 48
Triangle: (6*4)/2 = 24/2 = 12
Now we add them together:
48 + 12 = 60yd