========================================================
Explanation:
Consider an example like 3, 6, 12, 24, 48, ...
The ratio between consecutive terms is
6/3 = 212/6 = 224/12 = 248/2 = 2Each time we divide any given term over its previous one, we get the same ratio 2. We call this the common ratio. In terms of notation, the variable r is used for the common ratio, so r = 2 in this case.
As another example, the geometric sequence 5, 50, 500, 5000, ... has r = 10 as the common ratio because we multiply each term by 10 to get the next one. Moving forward has us multiply by r, moving backward and we divide by r. The value of r cannot be zero, but it can be negative.
An example with r being negative would be something like
1, -1, 1, -1, 1, -1, ....
we just bounce back and forth between those two values. In this case, r = -1.
28.
Write the equation of a line PERPENDICULAR to y = -2x + 1
that passes through the point (2, 3).
a)
1
1
1
y =
-
21 + 2
b)
y= 22 +2
d) y = –2x+8
c) y= -2x + 7
Answer:
y = 1/2x + 2
Step-by-step explanation:
y = 1/2x + b
3 = 1/2(2) + b
3 = 1 + b
2 = b
y = 1/2x + 2
When a child is born, her grandfather decides to put $100 in an account that earns interest. He plans to make no other deposits or withdrawals for 18 years. When the child turns 18 years old, the money in the account will be a birthday gift. The grandfather is choosing between two options:
Option 1: An account that grows by 10.5% each year.
Option 2: An account that grows by $20 each year.
Which option will result in a better 18th birthday gift? Explain your reasoning.
Answer:
option (1) is a better 18th Birthday gift of child by Grandfather.
Step-by-step explanation:
Amount deposited in bank at time of birth by Grandfather is $100.
And there is no other deposits and withdrawals for 18 years.
So,
Principal amount =$100
Time = 18 years
Rate of interest of bank = 10.5%
Option 1:- An account That grows by 10.5% each year
we know that Bank give compound interest on the deposit amount
then Compound interest = C.I=P(1+r) with an exponent of t
C.I= 100(1 + 10.5 over 100)with an exponent of 18
C.I= 100*6.0328
C.I= $603.28
Option 2:- An account that grows by $20 each year
Here,
Amount credited in account for 18 years = $20
So, Total amount after completion of 18 years = 10+18*20
=460
Hope this helped <3
The child turns 18 years old, and the money in the account will be a birthday gift is a better 18th Birthday gift for a child by a Grandfather.
The amount deposited in the bank at the time of birth by Grandfather is $100.
And there is no other deposits and withdrawals for 18 years.
Principal amount =$100
Time = 18 years
Rate of interest of bank = 10.5%
Option 1:- An account That grows by 10.5% each year
We know that Bank give compound interest on the deposit amount
What is the formula for compound interest?Compound interest = C.I=P(1+r) with an exponent of t
C.I= 100(1 + 10.5 over 100)with an exponent of 18
C.I= 100*6.0328
C.I= $603.28
An account that grows by $20 each year
The amount credited in the account for 18 years = $20
The total amount after completion of 18 years = 10+18*20
The total amount after completion of 18 years=460
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Somebody please help me it’s a big test I only have a few days left
Answer:
36-meet
37-feature
38-drag
39-Strength
40-speed
Step-by-step explanation:
Dynamics can be written anywhere in band music.
True or False
how to get a square root of a given number
Answer:
See below
Step-by-step explanation:
The square root of a number is defined as [tex]\pm y=\sqrt[2]{x}[/tex] where [tex](\pm y)^{2}[/tex] gives the original number. For example, [tex]\sqrt{4}=\pm2[/tex] because [tex]2^{2}=2*2=4[/tex] and [tex](-2)^{2}=-2*-2=4[/tex].
Example of Calculating Square Roots with Multiplication :
The square root of 9 is 3. The number 9 is an integer. This number comes from multiplying 3×3 which results in the number 9The square root of 25 is 5. The number 25 is an integer. This number comes from multiplying 5×5 which results in the number 25The square root of 81 is 9. The number 81 is an integer. This number comes from multiplying 9×9 which results in the number 81The square root of 100 is 10. The number 100 is an integer. This number comes from multiplying 10×10 which results in the number 100Example of Calculating Square Roots by Division
The square root of 4 is 2. The number that divides 4 is the number 2, like 4: 2 makes the number 2. It cannot be divided anymore and can be multiplied by itself.The square root of 9 is 3. The number that divides 9 is the number 3, such as 9: 3 to produce the number 3. It cannot be divided anymore and can be multiplied by itself.The square root of 25 is 5. A number that divides 25 is 5, as 25:5 makes 5. It is indivisible and can be multiplied by itself.The measure of an angle is 56°. What is the measure of its complementary angle?
Answer:
34 degree
Step-by-step explanation:
HELP PLSSSSSSSAS THANKS NO LINK
Describe the end behavior of the function: y = -2x³ + x4 + 1 A. Even positive B. Odd positive C. Even negative D. Odd negative
Answer:
Even positive
Step-by-step explanation:
Given
[tex]f(x) = -2x^3 + x^4 + 1[/tex]
Required
The end behavior
We have:
[tex]f(x) = -2x^3 + x^4 + 1[/tex]
Rewrite as:
[tex]f(x) = x^4 -2x^3 + 1[/tex]
To describe the end behavior, we check the leading coefficient and the degree of the function.
We have:
Leading Coefficient = 1 (i.e. the coefficient of [tex]x^4[/tex])
Degree = 4 (i.e. the power of [tex]x^4[/tex])
The degree of the function is even (i.e. 4)
The leading coefficient is positive (i.e. 1)
Hence, the end behavior is Even positive
hey! i’ll give brainliest please help
Answer:
Polar bears with white coats are better camouflaged (๑・ω-)～♥”
Answer:
D
Step-by-step explanation:
What is the average rate of change for the function f(x)=3x^2 -5 on the interval −3 ≤ x ≤ −1 ?
Answer:
-12
Step-by-step explanation:
Let b = -1 and a = -3
The average rate of change = [tex]\frac{f(b) - f(a)}{b - a}[/tex]
f(b) = f(-1) = 3(-1)^2 - 5 = 3 - 5 = -2
f(a) = f(-3) = 3(-3)^2 - 5 =27 - 5 = 22
f(b) - f(a) = -2 - 22 = -24
b - a = -1 + 3 = 2
[tex]\frac{f(b) - f(a)}{b - a}[/tex] = -24/2 = -12
The three side lengths of four triangles are given which triangle is a right triangle
Answer:
Triangle 3: 3, 4 ,5
Step-by-step explanation:
Well, you can easily tell by 3, 4, 5 being a Pythagorean triple.
But you have to use the Pythagorean Theorem to solve this.
So you get the side lengths of the two shortest sides, and you add the squared versions of them together.
So: 3^2+4^2 and if that equals the biggest side:5^2 then it's a right triangle.
i don’t understand??
Answer:
understand it lol
Step-by-step explanation:
Ken is thinking of a number. Nine more than the product of 4 & the number is 73. Find Ken's number.
Answer:
x = 16
Step-by-step explanation:
Let the unknown number be x.
Translating the word problem into an algebraic expression, we have;
4x + 9 = 73
4x = 73 - 9
4x = 64
x = 64/4
x = 16
Therefore, the unknown number is 16.
Need help take your time it’s due in a hour
Answer:
[tex]g(x) = 2^x - 3[/tex]
Un-formatted answer:
2^x - 3
Step-by-step explanation:
[tex]g(x) = f(x) - 8 = 2^x + 5 - 8 = 2^x - 3[/tex]
Multiply 81.5 and 3.5
Answer:
285.25
Step-by-step explanation:
Basically we multiply them as normal numbers so,
815*35 = 28525
Then we take the amount of spots each number had to the RIGHT of the decimal point
81.5 = 1
3.5 = 1
1+1= 2
So: 28525. move to the left 2 times to get 285.25
PLEASE HELP SOLVE FOR SURFACE AREA!!!
Answer:
4 x 4 = 16, 16 divided by 2 ( x 1/2 ) = 8
8 x 2 = 16(area of two triangles)
8 x 4 = 32(area of base below)
5.7 x 8 = 45.6 (area of slant)
4 x 8 = 32(area of the rectangle behind the figure)
Add all the given areas:
16 + 32 + 45.6 + 32 = 125.6 in^2 is your answer
Help me to find the sum 37.2 + 17.5=
The Walt Disney Company paid a $0.35 annual dividend on a day it closed at a price of
$33.86 per share.
a. What was the annual dividend for 500 shares?
b. What was the quarterly dividend for 500 shares?
c. What was the yield to the nearest tenth of a percent?
Answer:\
hey check out the attachment i found them online hope it help and thank you!
I looked for them like for 20 min I finnaly found them
Have a nice day/night! LOL
Step-by-step explanation:
Susie typically runs 5 miles in 1 hour. how far would she run in 30 minutes?
Answer:
2.5 miles
Step-by-step explanation:
you would divide 5 by 2 because it's splitting the time
and that would get you 2.5
hope that helped :)
Here’s the revenue and expenses for the month. Calculate whenever Mia had profit or loss.
Answer:
Profit = $200
Step-by-step explanation:
Total revenue = $9,500
Fixed expenses = $9,000
Variable expenses = $300
Total expenses = Fixed expenses + Variable expenses
= $9,000 + $300
= $9,300
Total expenses = $9,300
Profit is when revenue is greater than expenses
Loss is when revenue is less than expenses
Mia made profit because her revenue is more than her expenses
Profit = Revenue - Expenses
= $9,500 - $9,300
= $200
Profit = $200
8pq + - 17pq please help me
Answer:
- 9pq
Step-by-step explanation:
8pq + (- 17pq)
8pq - 17pq
- 9pq
Write an equation for the line that has a slope of 1/2 and passes though the point (-2, 5)
Answer:
y = 1/2x + 6
Step-by-step explanation:
y = 1/2x + b
5 = 1/2(-2) + b
5 = -1 + b
6 = b
Find the mode from the following data:
5,12,7, 24, 8, 9,7,12
A) 9
B) 7,12
С)7
D) 12
Answer:
mode is 12 and 7
Step-by-step explanation:
most repeated no.
sushmila is buying Mehdi supplies
Answer:
3(p - 5) + 2s should be the correct answer!
Step-by-step explanation:
3 henna powder, and you get $5 off each henna powder so equation is 3(p - 5)
2 bottle so, 2s
add them up and get the answer
Anyways, hope this helped!
The sum of three numbers is 57. If twice the first number is 6 less than the second and the second number 10 more than the third, find the numbers.
Answer:
11,28,18 are the three numbers.
Step-by-step explanation:
Mr. Blake took 10 minutes to drive 5 miles,
He claims it will take half an hour to drive 15 more miles at the same rate.
Select all the statements that are true if Mr. Blake claim is true.
1. He will travel 2 miles per minute.
2. Hw would travel 50 miles in 25 minutes.
3. He will travel 1 mile for every 2 minutes.
4. He will travel at a rate of 30 miles per hour.
5. The ratio of miles driven to minutes traveled is 1:2.
Answer:
The correct answer is - 3, 4, and 5.
Step-by-step explanation:
Given:
distance = 5 miles
time to cover 5 miles = 10 minutes
If his claim is true then,
additional Distance = 15 miles
total distance will be = 15+5 = 20 miles
additional time = 30 minutes
total time = 10+30 = 40 minutes
Solution:
The speed of the vehicle can be calculated by the formula:
V = d/t
where V is speed or velocity
d = distance
t = time
Putting the final or total values in formula =
V = 20/40
= 1/2 (5th statement is true)
In an hour where 60 minutes are there, 1/2 = 30 miles per hour.
Thus, 3rd and 4th statement are true.
Which statement best describe the diagonals of a rhombus?
A) Is a parallelogram with congruent diagonals
B) Is a parallelogram with diagonals that bisects a pair of opposite angles and the diagonals are perpendicular
C) Is a parallelogram with the diagonals that intersect but does not form 90 degree
D) Is a parallelogram with diagonals that are congruent and perpendicular
Answer:
Is a parallelogram with congruent diag............ option is best describing better
The statement which best describes the diagonals of a rhombus is B. Is a parallelogram with diagonals that bisects a pair of opposite angles and the diagonals are perpendicular.
What is Rhombus?A rhombus is a two dimensional shape which consists of four equal sides with opposite side being parallel and opposite angles being equal.
So, rhombus is a parallelogram with all sides being equal.
The diagonals of a rhombus are not of equal length, so they are not congruent.
Also, the two diagonals of a rhombus cuts each other in to two equal halves and the intersecting angle is 90 degrees.
This means that the diagonals of a rhombus are perpendicular bisectors of each other.
Also, the diagonals bisect the pair of opposite angles through which the line passes.
Hence the correct option is B. Is a parallelogram with diagonals that bisects a pair of opposite angles and the diagonals are perpendicular.
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A man works 6 hours overtime. His basic rate is $7.00 per hour. He is paid double time for overtime. What is his overtime pay
Answer:
His overtime pay is of $84.00.
Step-by-step explanation:
He is paid double time for overtime.
Basic rate of $7.00, overtime is double, so $7.00*2 = $14.00.
Worked 6 hours overtime:
So his overtime pay is:
$14.00*6 = $84.00
His overtime pay is of $84.00.
Hunter is organizing textbooks on his bookshelf. He has a Spanish textbook, a math textbook, a physics textbook, and a health textbook. How many different ways can he line the textbooks up on his bookshelf?
Answer: The different ways can he line the textbooks up on his bookshelf =24
Step-by-step explanation:
The number of ways to arrange n things = n!
Given: Number of different books = 4
Number of different ways to arrange 4 different books =4!
Number of different ways to arrange 4 different books= 4 x 3 x 2 x1
Number of different ways to arrange 4 different books = 24
Hence, the different ways can he line the textbooks up on his bookshelf =24
Find the probability that a randomly placed point falls within the smaller, inner circle.
The unshaded portion has a radius of 5 centimeters. The shaded path has a width of 8 centimeters.
5/8
25/169
64/78.5
15/24
Answer:
The probability that a randomly placed point falls within the smaller, inner circle is 25/64
Step-by-step explanation:
The remaining part of question is attached
Solution
The area of smaller circle is
[tex]\pi r^2 = 25 \pi[/tex]
The area of large circle is
[tex]\pi r^2 = 64 \pi[/tex]
Area of the shaded region
Area of large circle - area of small circle
[tex]64\pi -25\pi = 39\pi[/tex]
Probability that the point falls in the region of smaller circle is
[tex]\frac{25\pi }{64\pi } \\\frac{25}{64}[/tex]