Answer: a = 2.5 (an-1)
Step-by-step explanation: trust me;)
The function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].
What is geometric progression?sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is as a geometric sequence of numbers.
Formula for nth term of geometric progression[tex]a_{n} =ar^{n-1}[/tex]
Where,
[tex]a_{n}[/tex] is the nth term of the sequence or geometric progression
n is the total number of terms
r is the common ratio
and a is the first term
According to the given question
We have
A geometric progression
8, 20, 50, 125, 312.5
Now the common ratio for the above progression is given by
[tex]r = \frac{20}{8} = 2.5[/tex]
And the first term is
a = 8
Therefore, the function which is used to represent the above sequence is given by
[tex]a_{n} = 8(2.5)^{n-1}[/tex]
Hence, the function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].
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what are all the common factors of 15, 45, and 90?
and what are all the factors of 15, 45 and 90?
Find the coordinates of a point that divides the directed line segment PQ in the ratio 5:3.
Question 7 options:
A)
(4, 1)
B)
(4, 5)
C)
(2, 2)
D)
(–6, 6)
Answer:
B ......................
Express the perimeter of the triangle as a polynomial
8x - 2
5x - 4
9x - 3
Answer:
P = a + b + c
P = (8x + 2) + (5x - 4) + (9x + 3)
P = 8x + 5x + 9x + 2 - 4 + 3
P = 22x + 1
I hope this helps.
How many times in a 24-hour day will the hour and minute hands of a 12-hour analog clock form a 90-degree angle
Answer:
44
Step-by-step explanation:
In other words, the minute hand "overtakes" the hour hand on 44 occasions in 24 hours in order to give a 90 degree angle. Therefore the answer to your question is 44.
Answer:
the answer would be eight
Step-by-step explanation: it would hit the first 90 degree angle when the hour is at twelve and the minutes at 15 then 12 and 45 then 3 and 30 and three and 12 then 6 and 15 and six and 30 then 9 and 30 then 9 and 12 .
¿Se pueden reducir términos semejantes en la expresión? y +3x +4y+x+3y+2x. ¿Por qué?
Answer:
8y + 6x
Step-by-step explanation:
Combine like terms
y + 3x +4y + x + 3y + 2x
= (y + 4y + 3y) + ( 3x + x + 2x)
= 8y + 6x
Manuel cuya estatura es de 1.75 m observa la parte alta de un poste de 18.25 m de altura, con un ángulo de elevación de 30°. La distancia horizontal que hay entre el hombre y el poste es¬
Answer:
i don't understand
Step-by-step explanation:
Please help fast i will mark you if you get it right
Answer:
6/1 * 2/3= 4
5/6 - 3/4= 1/12
3/5 / 1/3= 9/5
Step-by-step explanation:
OMG FOR A BRAINLIST HELP ANSWER!!!!!!!!!
Answer:
C is answer
Step-by-step explanation:
Which of the following lists of ordered pairs is a function?
A. (3, –2), (2, –1), (3, 4), (4, 7)
B. (0, 4), (1, 2), (1, 0), (2, 3)
C. (2, 5), (3, 8), (4, 11), (4, 12)
D. (1, 7), (2, 5), (3, 6), (4, 1)
Answer:
D
Step-by-step explanation:
In this case, we can define a function as a "relation and the set of ordered pairs that doesn't contain 2 pairs with matching components"
In A above, (3,-2), (2,-1), (3,4), (4,7)
There is a repeat of 3 in both (3, -2) and (3,4) so this can't be considered a function.
B. (0, 4), (1, 2), (1, 0), (2, 3)
There is a repeat of 1 in both (1, 2) and (1, 0), so this is not a function.
C. (2, 5), (3, 8), (4, 11), (4, 12)
4 is repeated in (4, 11) and (4, 12) so this cancel out its probability of it being a function.
D. (1, 7), (2, 5), (3, 6), (4, 1)
D. (1, 7), (2, 5), (3, 6), (4, 1)There is no repeat of components, so this is considered a function.
2/7 x (-7/9) xdx lel'jobrfjb13rgifj2noinf ehelp
Find the value of x and y.
Answer:
x = 4
y = 12°
Step-by-step explanation:
Since each angles are equal ,
So each angle is 60°.
=> 5y = 60°
=> y = 60/5°
=> y = 12°
Again all sides will be equal ,
=> 5x - 6 = 3x + 2
=> 5x - 3x = 6+2
=> 2x = 8
=> x = 4
Order the given rational numbers from least to greatest: 4 1/4
3.3
3 1/3
-4 1/4
-3
Answer:
-4 1/4 , -3 , 3.3, 3 1/3, 4 1/4
Step-by-step explanation:
make all fractions decimals
4 1/4 = 4.25
3 1/3 = 3.33333..
-4 1/4 = -4.25
4.25 , -3 , 3.3 , 3.33... , 4.25
A=-4.5-2. B=0-3.5 a) What are the coordinates of A?
b) What are the coordinates of B?
Step-by-step explanation:
Coordinates of A are (-4.5, 2).
Coordinates of B are (0, -3.5)
Answer:
Both answers are true
Step-by-step explanation:
Coordinates of A are [-4.5,2]
Coordinates of B are [0,-3.5] { because it lies on the negative side of Y axis}
Rahul earns 21,000 in 7 months.
a) How much does he earn in 12 months!
b) In how many months will he earn *33,000?
Answer:
a _ 12×21000/7 = 36000
b _ 33 × 7 / 21000= 11 months
7≥ 3x + 4 is it 4, 1, 2 or -1
Answer:
x≤1
Step-by-step explanation:
7≥3x+4
Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo. Esto cambia la dirección de la señal.
3x+4≤7
Resta 4 en los dos lados.
3x≤7−4
Resta 4 de 7 para obtener 3.
3x≤3
Divide los dos lados por 3. Dado que 3 es >0, la dirección de desigualdad sigue siendo la misma.
x≤
3
3
Divide 3 entre 3 para obtener 1.
x≤1
Please someone answer these for me this is confusing this is a major try to find the domain range and end behavior for all of these
Answer:?? I don't understand that sorry, I'm unhelpful
Step-by-step explanation:
Are the ratios 8:10 and 4:5 equivalent?
Answer:
yes the ratio are equivalent
Answer:
yes they are egivalent
Step-by-step explanation:
How to synthetically divide polynomials.
Answer:
Write down the problem. For this example, you will be dividing x3 + 2x2 - 4x + 8 by x + 2. Write the first polynomial equation, the dividend, in the numerator and write the second equation, the divisor, in the denominator.
Reverse the sign of the constant in the divisor. The constant in the divisor, x + 2, is positive 2, so reversing the sign of the constant would give you -2.
Since the opposite of the constant term is -2, we put the -2 inside a box. A common mistake is to put a 2 inside the box, watch out here.
Write all of the coefficients of the dividend inside the division symbol. [2] Write the terms from left to right, just as they appear. It should look like this: -2| 1 2 -4 8.
Bring down the first coefficient. Bring down the first coefficient, 1, below itself. It should look like this:
-2| 1 2 -4 8
↓
1
Multiply the first coefficient by the divisor and place it under the second coefficient.[3] Simply multiply 1 by -2 to get -2 and write this product under the second term, 2. Here's how it would look:
-2| 1 2 -4 8
-2
1
Add the second coefficient and the product and write the answer below the product. Now take the second coefficient, 2, and add it to -2. The result is 0. Write this result below the two numbers, just as you would in long division. Here's how it would look:
-2| 1 2 -4 8
-2
1 0
Multiply this sum by the divisor and place the result under the third coefficient. Now take the sum, 0, and multiply it by the divisor, -2. The result is 0. Place this number below 4, the third coefficient. It should look like this:
-2| 1 2 -4 8
-2 0
1
Add the product and the third coefficient and write the result under the product. Add 0 and -4 to get -4 and write this answer below the 0. Here's how it would look:
-2| 1 2 -4 8
-2 0
1 0 -4
Multiply this number by the divisor, write it under the last coefficient, and add it to the coefficient. Now, multiply -4 by -2 to get 8, write this answer under the fourth coefficient, 8, and add this answer to the fourth coefficient. 8 + 8 = 16, so this is your remainder. Write this number below the product. Here's how it would look:
-2| 1 2 -4 8
-2 0 8
1 0 -4 |16
Place each of the new coefficients next to a variable of one less power than their original corresponding variables. In this case, the first sum, 1, is placed next to an x to the second power (one less than three). The second sum, 0, is placed next to an x, but the result is zero, so you can remove this term. And the third coefficient, -4, becomes a constant, a number without a variable, since the original variable was x. You can write an R next to the 16, because that is the remainder. Here's how it would look:
-2| 1 2 -4 8
-2 0 8
1 0 -4 |16
x2 + 0x - 4 R 16
x2 - 4 R16
Write the final answer. The final answer is the new polynomial, x2 - 4, plus the remainder, 16, over the original divisor, x + 2. Here's how it would look: x2 - 4 +16/(x +2).
Step-by-step explanation:
That was quite long, but those are the steps to synthetically divide polynomials.
Which value of m is a counterexample for the following statement?
If m is an odd prime number, then m + 2 is also prime.
Group of answer choices
7
3
5
9
11
Answer:
3
Step-by-step explanation:
because 3 is a prime number and 3+2=5 which is also a prime number
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The number of comic books is an illustration of a linear function
The complete equations are: [tex]\mathbf{8b + 17 =65}[/tex] and [tex]\mathbf{b =6}[/tex]The value of b has increased by 4She had 17 comic books already.
So, we have:
[tex]\mathbf{Base\ Amount = 17}[/tex]
Her order of 65 books contains 8 comic books per collection.
So, we have:
[tex]\mathbf{Rate = 8}[/tex]
[tex]\mathbf{Total = 65}[/tex]
This is represented as:
[tex]\mathbf{Rate \times b + Base\ Amount =Total}[/tex]
So, we have:
[tex]\mathbf{8\times b + 17 =65}[/tex]
Rewrite as:
[tex]\mathbf{8b + 17 =65}[/tex]
Subtract 17 from both sides
[tex]\mathbf{8b =48}[/tex]
Divide both sides by 8
[tex]\mathbf{b =6}[/tex]
Assume she has 97 books in her collection, then the equation would be represented as:
[tex]\mathbf{8b + 17 = 97}[/tex]
Subtract 17 from both sides
[tex]\mathbf{8b = 80}[/tex]
Divide both sides by 8
[tex]\mathbf{b = 10}[/tex]
The values of b are 6 and 10.
The difference between 6 and 10 is 4
Hence, the value of b has increased by 4
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Examine the table, which represents a linear function.
What is the rate of change of the function?
Input (x) Output (y)
-5 18
−3 23
−1 28
1 33
Answer:
I believe it should be 3 23
Answer:
2.5
Step-by-step explanation:
The rate of change can be found from the slope formula.
m = (y2 -y1)/(x2 -x1)
Using the first two lines of the table, we find ...
m = (23 -18)/(-3 -(-5)) = 5/2
The rate of change of the function is 5/2 = 2.5.
What percentage of a dollar is the value of 5 quarters and 1 dime?
Answer:
135%
Step-by-step explanation:
1 dollar is 100 cents. 5 quarters and 1 dime is 5x25 + 10 = 135 cents. 5 quarters and 1 dime would be 135/100 = 135% of 1 dollar.
1, 1, 2, 3, 5, 8 are the first six numbers of the fibonacci sequence. what is the eighth number?
Answer:
21
Step-by-step explanation:
1, 1, 2, 3, 5, 8, 13, 21
The required eighth number in the Fibonacci sequence is 21.
Given that,
1, 1, 2, 3, 5, and 8 are the first six numbers of the Fibonacci sequence. what is the eighth number is to be determined
The sequence is defined as the specific pattern of numbers in which they are arranged.
Here,
given Fibonacci sequence is 1, 1, 2, 3, 5, 8
The Fibonacci numbers, sometimes known as Fn, are a set of numbers in mathematics where each number is the sum of the two numbers before it.
According to the above definition,
7 th number = 5th number + 6th number =
7 th number = 5 + 8 = 13
8th number = 8 + 13 = 21
Thus, the required eighth number in the Fibonacci sequence is 21.
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PLZ HELP 400 POINTS AND BRAINLIEST
Answer:
A=9
b=2.75
POINTS A AND B ARE 9 UNITS APART
Step-by-step explanation:
enjoy hope i get what i was promised :D
Answer:
a and b are 9 units apart
Step-by-step explanation:
the sum of the three consecutive integers is -105 what are the three numbers?
Answer: -34, -35, -36
Explanation: To find the sum of the three consecutive integers which add up to -105, let us find the sum of three consecutive integers which add up to 105. The only possible solution is 34, 35, and 36. Now we can just make this negative for -105. To double check, put this into a calc: -34 + -35 + -36
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$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will the job take? Write an equation and explain how you used it to find the number of hours the job will take.
Answer:
(136.60 - 61.60) / 30 = 2.5 hours
Step-by-step explanation:
First, subtract the cost of parts from the total: 136.60 - 61.60 = 75
Now you have the total labor cost. Divide by the hourly rate: 75 / 30 = 2.5
Find the roots of the equation: 6y^2 + 24 = 0
Answer:
y = ±2i
Step-by-step explanation:
6y^2 + 24 = 0
Divide both sides by 6
y^2 + 4 = 0
Subtract 4 from both sides
y^2 = -4
Take the square root of both sides
y = ±√-4
y = ±2√-1
y = ±2i
Answer:
Step-by-step explanation:
6y^2+24=0
/6
y^2+4=0
y^2=-4
y=±[tex]\sqrt{-4}[/tex]
y=±[tex]\sqrt{4}[/tex] i
Add and write in standard form: (-3x^4 + 6x^3 - 43) + (8x^5 - x^2 + 12x + 10)
A.) 8x^5 - 3x^4 + 6x^3 - x^2 + 12x - 33
B.) x^5 - 5x^3 + 12 - 33
C.) -33 + 12x - x^2 + 6x^3 - 3x^4 + 8x^5
D.) -13x^14
Answer:
A.) 8x^5 - 3x^4 + 6x^3 - x^2 + 12x - 33
Answer: A
Step-by-step explanation:
Because the only thing that can be combined is - 43 and 10, you just need to combine that and write everything else out.
- 43 + 10 = - 33
Now just write everything out...
8x^5 - 3x^4 + 6x^3 - x^2 + 12x - 33
Which is A
Will mark brainiest if right Is this function linear or nonlinear?
y=3x−5
Answer: This function is linear because it forms a straight line when graphed.
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Shreyas went to the fair and played a game with three spinners. He spins each spinner once and wins a prize if he gets 2 blues and 1 red.
Using the principle of probability, the likelihood that Shreya wins by getting 2 blues and 1 red is 0.416
Creating an area model for the first two spinners :
___ G _ B _ B _ R _R _R
R_RG_RB_RB_RR_RR_RR
R_RG_RB_RB_RR_RR_RR
B_BG_BB_BB_BR_BR_BR
B_BG_BB_BB_BR_BR_BR
B_BG_BB_BB_BR_BR_BR
B_BG_BB_BB_BR_BR_BR
G_GG_GB_GB_GR_GR_GR
G_GG_GB_GB_GR_GR_GR
Creating an area model or tree diagram for the third spinner would result in a sample space of (48 × 12) = 576 combinations.
However, the probability that Shreya would win can be obtained thus :
To win he needs to pick get 2 blues and 1 red in any order :
3! = 3 × 2 × 1 = 6 ways
P(BBR) = 1/3 × 4/8 × 5/12 = 0.0694444
P(winning) = 6 × 0.0694444 = 0.416
Therefore, the probability that Shreya wins is 0.416.
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