A geometric sequence is any sequence that has a common ratio and a non-zero initial value
The sequence 2, 6, 18, 54, ..... is a geometric sequence
How to determine the geometric sequence?
A geometric sequence is represented as:
Tn = ar^(n - 1)
Where:
n represents the number of termsa represents the initial valuer represents the common ratioTn represents the current termAssume that:
a = 2 and r = 3.
The terms of the sequence would be:
T1 = 2 * 3^0 = 2
T2 = 2 * 3^1 = 6
T3 = 2 * 3^2 = 18
T4 = 2 * 3^3 = 54
So, we have:
2, 6, 18, 54, .....
Hence, the sequence 2, 6, 18, 54, ..... is a geometric sequence
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Matt is given a jar with eight marbles, six of which are red and two of which are green. Matt then randomly draws marbles without replacement. If he selects a red marble, he puts it in the first box; similarly, he continues to place all red marbles he selects into the first box until a green marble is chosen. When a green marble is chosen, he puts the first box aside. He then selects and places red marbles in the second box until the second green marble is chosen. When the second green marble is selected, he will put the second box aside and place all remaining red marbled in a third box. After all marbles are drawn, what is the probability that each box contains two red marbles? Express your answer as a common fraction.
Answer:
as a percentage it is: 0.25 x 0.2 =0.05 or 5%
but as a common fraction it is: 5/100 or 1/20
Step-by-step explanation:
PLEASE HELP ASAP FIRST CORRECT ANSWER GETS BRAINLEIST
k²= 6²+5²
k²= 36+25
k²= 61
k= V61
k=7.81
Marcel made an error when he used the distributive property to write an equivalent expression. which sentence describes the error? 32x−16====(8x⋅4)−(8⋅2)8x(4−2)8x(2)16x clear check both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses. 8x(2) does not equal 16x. 32x does not equal 8x⋅4. 32x and 16 have no factors in common
Answer:
I think he made a mistake in the first one
Step-by-step explanation:
Marcel made an error which is both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses" option (A) is correct.
What is distributive property?The distributive property is the property that expresses the distributive law of algebraic multiplication. Similarly, in polynomial expression we can use the distributive property, for example, we can write a(c+b) in the form of (ac+bc).
The expression is:
= 32x - 16
= 8x(4) - 2(8)
= 8(4x - 2)
The error is "both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses"
Thus, Marcel made an error which is both terms aren’t multiplied by 8x, so 8x can’t go in front of the parentheses" option (A) is correct.
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Danielle and Esther are selling fruit for a fundraiser. Danielle sold 3 boxes of apples and 2 boxes of oranges for $44.50. Esther sold 5 boxes of apples and 4 boxes of oranges for $81.50. How much did a box of oranges cost?
Let x be the cost of a box of apples and y be the cost of a box of oranges.
Danielle : 3x + 2y = 44.5
Esther: 5x + 4y = 81.5
3x + 2y = 44.5 --- 1
5x + 4y = 81.5 --- 2
6x + 4y = 89 --- 3
From 2 and 3, we have:
x = 7.5
Subsitute x = 7.5 into 1
3(7.5) + 2y = 44.5
2y = 22
y = 11
Therefore, a box of oranges costs 11 dollars
What should be done to solve the following equation?
=
C-730
7
What should be done to solve the following equations?
C - 7 and 3/4= 0
A) add 7 and 3/4 to both sides of the equation
B)Add O to both sides of the equation.
C)Subtract from both sides of the equation
D) Subtract 7 from both sides of the equation
The equation C -7 - 3/4 = 0 is an algebraic equation
To solve the equation we (a) add 7 and 3/4 to both sides of the equation
How to determine the action on the equation?The equation is given as:
C -7 - 3/4 = 0
Make C the subject of formula by adding 7 and 3/4 to both sides of equation
C = 7 + 3/4
Now, we can solve for C
Hence, to solve the equation we (a) add 7 and 3/4 to both sides of the equation
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Ram spent 1/3 of his salary on food, ,1/4 of his salary on rent and electricity, and 1/20 of his salary on the telephone. Since April -2022 is the month of Ramadan, irrespective of religion and cast Ram has donated 1/10 of his salary to an orphanage and 5000Aed to RCA Charity. He was left with 3000AED with him. What is his monthly salary?
STEP BY STEP PLS
The total monthly salary earned by Ram in the month of April 2022 is an amount of 30000 AED before payments and donations.
How to solve a word problem
Word problems are statements that embody a set of algebraic expressions that offers at least one solution. In this case, we have to read the statement, find the equivalent formula and solve for the resulting variable.
After a careful reading, the statement is equivalent to the following formula:
x = x / 3 + x / 4 + x / 20 + x / 10 + 5000 + 3000
4 · x / 15 = 8000 (1)
Where x is Ram's monthly salary.
The solution of (1) is x = 30000.
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fing the midpoint of A(1-4) and B(-2;-7)
I dont understand this to save my life, Please help !
A square number and a prime number equals to 17
Answer:
2 & 13
Step-by-step explanation:
The square of 2 plus the prime number 13 add up to 17
[tex]2^{2}+13=4+13 =17[/tex]
Hope this helps
Answer:
Square number = 4
Primer number = 13
Step-by-step explanation:
A square number is the result when a number has been multiplied by itself.
A prime number is a whole number greater than 1 that only has two factors, itself and 1.
List all the square numbers and prime numbers below 17:
Square numbers: 1, 4, 9, 16, ...
Prime numbers: 2, 3, 5, 7, 11, 13, ...
Therefore, the only combination of square number and prime number that sums to 17 is: 4 + 13 = 17
Solution
Square number = 4
Primer number = 13
Omar and Ted have a total of 25 books. Omar has 5 less than twice the number of books Ted has. Use a graph to find how many books each boy has. y
Answer:
Ted has 10 books and Omar has 15 books
Step-by-step explanation:
Hey there!
In order to find how many books each of the boys have, we can make a system of equations
First equation: O+T=25
Second equation: O=2T-5
After making the equations, you can use substitution by plugging in 2T-5 For O in the first equation:
2T-5+T=25
Simplify LHS
3T-5=25
Take 5 to the other side
3T=30
Divide by 3 on both sides to get T by itself
T=10
So this means that Ted has 10 books
Now we can plug this into the second equation
*note that you can plug 10 into the first equation too*
O=2(10)-5
Simplify RHS
O=20-5
Combine like terms
O=15
This means that Omar has 15 books
So, Ted has 10 books and Omar has 15 books
Which unit of measure should be used to measure this length? Type the correct
answer.
Use:
yd = yards
mi = miles
the distance from one street corner to the next
Answer:
Miles or mi
Step-by-step explanation:
This is because measuring the distance from one street corner to the next requires miles. Yards would be too less and would be less convenient.
There is a possibility of converting miles to yards as well.
You just have to multiply the miles by 1760 to get the right units.
Find the area of the polygon: Hint: Area = (Length)(Width)
-
( 3x+8 ) ( 7x-2 )
= 21x² + 56x - 6x -16
= 21x² + 50x -16
HOPE IT HELPS :)
chen and megan each have a set of numbered counters chen has= 1 2 3 4 megan has= 1 2 3 4 5 they each take thier own counters without looking chen says im more likley to get a 4 is he correct? explain your answer
Answer:
Yes, Chen is correct.
Step-by-step explanation:
Chen has 1/4 chance of getting a 4, whereas Megan has 1/5 chance of getting a 4.
1/4 = 0.25
1/5 = 0.20
Therefore, Chen is correct.
Lydia is planning an event for 275 people. She wants to find out the food preferences for the guests, so she surveys 60 guests and discovers that 45 of those guests prefer chicken and 15 prefer fish. What is the sample for the survey?
Answer:
sample size is the number of individuals in the sample and the sample is 60 guests.
Step-by-step explanation:
She wants to find out the food preferences for the guests, so she surveys 60 guests and discover 45 of those guests prefer chicken and 15 prefer fish.
The sample is 60 guests.
What is the surface area of this right prism?
48 in²
84 in²
96 in²
120 in²
Answer:
It's 96
Step-by-step explanation:
-The left and right rectangles
5*4=20
(5*4)*2=40
-Triangle (front and back)
8*3/2=12
(8*3)/2*2=24
-Bottom Triangle (base)
8*4=32
-Area
=40+24+32
=96
Answer: 96 in^2
Step-by-step explanation: I took the quiz and got it right!! Hope this helps you, have a beautiful day!! :)
2. The temperature at the North Pole is 30°F and is expected to drop 5°F per hour for the next
several hours. Write an equation that represents the relationship between temperature and
time. Explain what information your numbers and variables represent.
The answer is F(t)=30-5t
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here: The temperature at the North Pole is 30°F and is expected to drop 5°F per hour for the next several hours.
let the time in hours be t and F(t) be the temperature after t hours then we have the following equation:
F(t)=30-5t
Hence, The answer is F(t)=30-5t
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
1 1/2 or 1.5
As a simplified fraction
If this helped pls give brainlest.
Select all that apply
Answer:
Rational & integer
Step-by-step explanation:
Rational numbers are terminating. -7 is terminating.
All integers are rational numbers. Integers do not have decimals.
This is not whole because it is negative.
This is not irrational because... it's rational!
it is a rational and integer Hopefully you pass this assignment
prove it equals 1
(Tanx - Cotx) + Sinx.Cosx
Step-by-step explanation:
(sinx/cosx - cosx/sinx) + sinxcosx
sin²x - cos²x = 1
I can't prove
I only know sin²x + cos²x = 1 : )
Find the measure of angle x.
155° X x
x = [?]
? "
Answer:
x = 155°
Step-by-step explanation:
This is called a vertically opposite angle.
6. Find the H.C.F. of: (a) a² + 2ab + b2-c?, b? + 2bc + ? - a and c? +2ac + a-b? +
Answer:
- (a + b)^2
- (b + c)^2
- (a - b + c) (a + b + c)
The answer is given in the photos below (for verification),
I hope my answer helps you.
i need help!!! please help me
Answer:
2nd and 4th option
Step-by-step explanation:
The equivalent expression is,
⇒ 4 (5 - 2d)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 20 - 8d
Now, We can simplify the expression as;
⇒ 20 - 8d
⇒ 4 x 5 - 4 x 2d
⇒ 4 (5 - 2d)
Thus, The equivalent expression is,
⇒ 4 (5 - 2d)
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help me pleaseeeeeeeeee
Answer:
slope = [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, - 4) and (x₂, y₂ ) = (- 2, 4) ← 2 points on the line
m = [tex]\frac{4-(-4)}{-2-(-5)}[/tex] = [tex]\frac{4+4}{-2+5}[/tex] = [tex]\frac{8}{3}[/tex]
Choose all lengths that are equal to
3 yards 16 inches.
A.
124 in.
B.
4 yd 4 in.
C.
3 yd 1 1/2 ft
D.
2 yd 52 in.
E.
10 ft 4 in.
(15 points)
Answer: The answer you would be looking for is A. D. E.
Step-by-step explanation:
I hope i helped and can i have brainliest please <3
HELP PLSSS - WILL MARK BRAINLIEST
Select the correct answer
which situation is best modeled by a nonlinear function with time as the independent variable?
A. The value of a gift card that decreases by three dollars each month
B. The value of a $20 bill
C. The value of a collectible baseball card that increases by constant factor of 1.1, or by 10%, each year
D. The value of an investment that increases by two dollars each week
Answer: Most likely it is A
Step-by-step explanation:
Although it should be B, because a non linear function doesn't have a rate of change. I already looked up this question many times so we know It's NOT C.
The best modeled by a nonlinear function with time as the independent variable is:
The value of a collectible baseball card that increases by a constant factor of 1.1, or by 10%, each year.
A nonlinear function is one that does not follow a straight line.
In this case, t
A) describes a linear function since the value of the gift card decreases by a fixed amount each month, resulting in a straight-line relationship.
B) describes a constant value, which is a special case of a linear function where there is no change over time.
C) The value of the collectible baseball card increases by a constant factor of 1.1 each year, which results in exponential growth. This behavior is best modeled by a nonlinear function.
D) describes a linear function since the value of the investment increases by a fixed amount each week, resulting in a straight-line relationship.
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In the accompanying diagram of a unit circle, the ordered pair (x,y) represents the point where the terminal side of 0 intersects the unit circle. If 0=150, what is the value of x.
A.
B.
C.
D.
Answer:
Below in bold.
Step-by-step explanation:
tan 150 = -tan 30
= -1/√3 = y/x (1)
This is a unit circle so the hypotenuse = 1.
so sin 150 = y/1 = y
y = 1/2
So substituting in equation (1)
1/2 / x = -1/√3
-x = √3/2
x = -√3/2.
The value of x in the unit circle is -√3/2.
Option B is the correct answer.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
Since the angle is 150 degrees, we know that it is in the second quadrant, where the x-coordinate is negative and the y-coordinate is positive.
Since the circle has a radius of 1, the y-coordinate is sin(150) = 1/2.
To find the x-coordinate, we can use the formula x = cos(θ), where θ is the angle in radians.
To convert 150 degrees to radians, we multiply by π/180:
150 degrees x π/180 = 5π/6 radians
So,
x = cos(5π/6) = -√3/2.
Therefore,
The value of x is -√3/2.
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Say that the economy is in an expansion, causing wages to increase by six percent. if you previously received a monthly salary of $1,375.00, what will your new monthly salary be? round all dollar values to the nearest cent. a. $2,365.00 b. $1,604.17 c. $1,462.77 d. $1,457.50 please select the best answer from the choices provided a b c d
The new monthly salary will be $1,457.50.
You received a monthly salary of $1,375.00
Now by economy expansion, causing wages to increase by = 6%
Increment of the salary = 6% of 1,375.00
[tex]= \frac{6}{100} \times 1,375[/tex]
[tex]= 0.06 \times 1,375 =\$82.50[/tex]
What is the monthly salary?Monthly Salary means Employee's monthly salary, before deductions.
Therefore our new monthly salary would be
[tex]= $1,375.00 + $82.50\\ = $1,457.50[/tex]
Therefore our new monthly salary will be $1457.50.
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Find g(x), where g(x) is the reflection across the x-axis of f(x)=
–
4(x–10)2+3.
A right rectangular prisim has a length of 2 1/2 feet a width of 3 feet and a height of 1 1/2 feet. Unit cubes with side lengths of 1/2 foot are added to completely fill the prisim with no space remaining. What is the volume in cubic feet of the right rectangular prisim?
Solve log x = 4. plese help
Answer:
x = 10^4 = 10000
Step-by-step explanation:
log(x) = 4
x = 10^4