6th term 25,75,225,675,.... is it arithmetic or geometric. what's the explicit equation and the given term​

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{75}{25}[/tex] = 3

[tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{225}{75}[/tex] = 3

[tex]\frac{a_{4} }{a_{3} }[/tex] = [tex]\frac{675}{225}[/tex] = 3

This indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex]  = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 25 and r = 3 , then

a₆ = 25 × [tex]3^{5}[/tex] = 25 × 243 = 6075


Related Questions

Guys so it says pick which one is true and!!! I can’t really find out now there is four more left thank you to the people who are helping

Answers

Answer:

Your answer is

B. C. And. E

Hope it will help :)❤

Lucas is making accessories for the soccer team. He uses 587.19 inches of fabric on headbands for 35 players and 2 coaches. He also uses 302.05 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer: 24.5 inches

Step-by-step explanation:

Luca used 587.19 inches for 35 players and 2 coaches:

= 35 + 2

= 37 people.

The inches per person used for headband is:

= 587.19/37

= 15.87 inches

Luca then used 302.05 inches for just players who number 35 to make wristbands. Inches used per player is:

= 302.05/35

= 8.63 inches

Fabric used for each player is therefore:

= 15.87 + 8.63

= 24.5 inches

X^2+2x+1=4 complete the square

Answers

Answer:

[tex] {x}^{2} +2 x + 1 = 4 \\ {(x + 1)}^{2} = 4 \\( x + 1) = + 2 \: and \: (x + 1) = - 2 \\ \boxed{x = 1 \: and \: x = - 3}[/tex]

x= 1 or x= -3 is the right answer.

What is 11/12 of a minute?

Answers

11/12 of a minute is 55 seconds

Answer:

55 seconds

Step-by-step explanation:

Okay so, 1/12 of a minute would be 5 seconds. 10/12 would be 50 seconds. You go up 5 continuously.

At the movie theatre, child admission is $5.10 and adult admission is $8.70. On Saturday, 149 tickets were sold for a total sales of $1065.90. How many adult tickets were sold that day?

Answers

Answer:

[tex]a=85[/tex]

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}5.10c+8.70a=1065.90\\c+a=149\end{case}[/tex], where [tex]c[/tex] represents the number of child tickets sold and [tex]a[/tex] represents the number of adult tickets sold.

Multiplying the second equation by [tex]-5.10[/tex] and adding both equations lets us isolate and solve for [tex]a[/tex]:

[tex]\begin{cases}5.10c+8.70a=1065.90\\-5.10c-5.10a=-759.9\end{case}\\3.6a=306,\\a=\fbox{$85$}[/tex].

NEED HELP ASASPPP
A study reported that about half of high school seniors study for upcoming math tests. To find out if this applies to seniors at Garfield High School, an SRS of 30 seniors was asked if they study for their math tests. Nineteen responded "Yes.”

A dotplot is provided showing the results of 40 trials of this simulation.

A dotplot titled seniors who study for math tests have number of seniors who responded yes on the x-axis, and frequency on the y-axis. 12, 2; 13, 5; 14, 6; 15, 11; 16, 9; 17, 4; 18, 2; 9, 0; 20, 1.

Does this provide convincing evidence that seniors at Garfield High School study more than the report stated?

No, there is an outlier at 20.
No, there were outcomes as low as 12.
Yes, only one trial had a result of 19 or larger.
Yes, more than half of the simulated results are over 15.

Answers

Answer:

Yes, only one trial had a result of 19 or larger.

Step-by-step explanation:

The claim reported is that only about half of high school seniors study for upcoming math test. However, at Garfield a sizeable number of the 30 surveyed observation gave a symmetrical distribution about the study pattern of their high school seniors with only one trial a frequency of yes greater than or equal to 19

A tree is broken at a height of 35 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. If the tree is at right angles to the ground, find the original height of the tree.

Answers

Original height of tree = (x+5) m
In triangle ABC x square = 5 square + 12 square
X square = 25+144
X square = 169
X = 13
Thus the original height of the tree was 13+15 = 18m

Help Link (little green guy on the left) defeat Ganon and save Zelda. Find the distance from Link to the Green Soldier so Link can attack. Press "Submit" to check your work.

Answers

Answer: 5 units

Step-by-step explanation:

The shape presented is a triangle and the distance between Link and Ganon is the hypothenuse of that triangle.

This can be calculate using the Pythagoras rule:

c² = a² + b²

c is the hypothenuse.

a in the triangle = base = 4 units

b = height = 3 units

c² = 4² + 3²

c² = 16 + 9

c² = 25

c = √25

c = 5 units

Answer:

wait i'm tho lol

Step-by-step explanation:

Which Choice is equivalent to the product below when X > 0

Answers

Answer: this is equal to √(3x²/12) = √(x²/4) = x/2

Step-by-step explanation:

Answer:

C.) 1/3

Step-by-step explanation:

For each gym membership sold, the gym keeps $42, and the employee who sold it gets $8. What is the commission the employee earned as a percentage of the total cost of the gym membership?
followup: If an employee sells a family pass for $135, what is the amount of the commission they get to keep?

Answers

Hence, the commission the employee earned as a percentage of the total cost of the gym membership is [tex]16[/tex] % and the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be [tex]21.6[/tex] $

What is the percentage?

A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".

Here given that,

For each gym membership sold, the gym keeps $[tex]42[/tex], and the employee who sold it gets $[tex]8[/tex].

(1)

Here the full price is [tex]42+8=50[/tex]

So, the commission the employee earned as a percentage of the total cost of the gym membership is

[tex]\frac{8}{50}=16[/tex] %

(2)

Here, the employee sells a family pass for $[tex]135[/tex].

So, the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be

[tex]\frac{16}{100}[/tex] ×[tex]135=21.6[/tex] $

Hence, the commission the employee earned as a percentage of the total cost of the gym membership is [tex]16[/tex] % and the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be [tex]21.6[/tex] $

To know more about the percentage

https://brainly.com/question/13244100

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I NEED HELP ASAP

Write an equation in point-slope form with the given characteristics Passes through (1,8) and (-2,3)​

Answers

We first solve to find the slope. The slope of the line is 5/3. Then we substitute that into the formula that is y-y1=m(x-x1). M represents the slope of the line and the x and y’s represent the point values. So we get 8-3=5/3(1+2). We get this solution if it asks you to figure out the slope along the way too.

If they ask you the equation when knowing only the two points you do 8-3=m(1+3)

They both mean the same thing ( it just depends on what the problem is specifically asking you about)

Answer:

[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]

Step-by-step explanation:

1) Use the slope formula, [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex], and the given points to find the slope. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line must intersect, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line must also intersect:

[tex]\frac{(3)-(8)}{(-2)-(1)}[/tex]

= [tex]\frac{-5}{-3}[/tex]

= [tex]\frac{5}{3}[/tex]

2) Using the point-slope formula, [tex]y-y_1 = m (x - x_1)[/tex], use the slope you just calculated and substitute it for m. Choose any of the two points given (I chose (1,8)) and substitute its x and y values for [tex]x_1[/tex] and [tex]y_1[/tex]. Don't worry, the equation of the line is the same no matter which point you choose (unless the question specifies which one you need to choose):

[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]

IQ
GPA
ia
SAT
115
3.4
115
1440
84
2.1
84
780
In this assignment, you will be comparing two data
sets. The first data set shows the relationship of GPA
and IQ scores. The second data set compares SAT
scores and IQ scores.
In the scatterplots for both sets of data, the
independent variable is
111
3.1
111
1120
120
3.8
120
1560
105
2.8
105
1240
98
2.6
98
1200
96
96
1000
88
88
920
It

Answers

Answer:

The answer is IQ

Step-by-step explanation:

Edge 2021

ans fastt I will mark as brainliest​

Answers

Answer:

»»»»»

ZBDC = ( 180 - x - y )°

:-))

»»»»»

The golf club runs a competition.
The total prize money is shared in the ratio 1st prize:2nd prize = 9: 5.
The 1st prize is $500 more than the 2nd prize.
Calculate the total prize money for the competition.

Answers

Answer:

The total prize money for the competition is $1750

Step-by-step explanation:

Let us solve the question

→ The golf club runs a competition

∵ The total prize money is shared in the ratio 1st prize: 2nd prize = 9: 5

∵ The 1st prize is $500 more than the 2nd prize

The difference between the 1st prize and the second prize = $500

→ Find the difference between the terms of the ratio

The difference in the terms of the ratio = 9 - 5 = 4

→ By using the ratio method

→  1st   :   2nd   :   difference

→  9     :   5       :   4

→  x     :   y        :   500

→ By using the cross multiplication

x × 4 = 9 × 500

∴ 4x = 4500

→ Divide both sides by 4 to find x

x = 1125

The 1st prize is $1125

y × 4 = 5 × 500

∴ 4y = 2500

→ Divide both sides by 4

y = 625

The 2nd prize is $625

The total prize = 1st prize + 2nd prize

∴ The total prize = 1125 + 625

∴ The total prize = 1750

The total prize money for the competition is $1750

a line passes through the point (-6,-7) and has a slope of 5/2
Write an equation in slope intercept form for this line

Answers

Answer:

Draw a line of a givens point

Kristen spent many days at the community pool last summer. She noticed that five out of fourteen flying insects she saw at the pool were mayflies. If Kristen saw fourteen flying insects at the pool one day, how many were mayflies? If, over several days, Kristen saw forty two flying insects, how many were mayflies? If, over a few weeks, Kristen saw thirty mayflies, how many flying insects did she see?

Answers

Answer:

(a) 5 mayflies

(b) 15 mayflies

(c) 84 flying flies

Step-by-step explanation:

Represent Mayflies with M and the total flying insects with F

The ratio can be represented as:

[tex]M : F = 5 : 14[/tex]

Solving (a):

[tex]F = 14[/tex]

Find M

Substitute 14 for F in [tex]M : F = 5 : 14[/tex]

[tex]M : 14 = 5 : 14[/tex]

Convert to fraction

[tex]\frac{M}{14} = \frac{5}{14}[/tex]

Multiply through by 14

[tex]14 * \frac{M}{14} = \frac{5}{14} * 14[/tex]

[tex]M = 5[/tex]

Solving (b):

[tex]F = 42[/tex]

Find M

Substitute 42 for F in [tex]M : F = 5 : 14[/tex]

[tex]M : 42 = 5 : 14[/tex]

Convert to fraction

[tex]\frac{M}{42} = \frac{5}{14}[/tex]

Multiply through by 42

[tex]42 * \frac{M}{42} = \frac{5}{14} * 42[/tex]

[tex]M = \frac{5}{14} * 42[/tex]

[tex]M=5*3[/tex]

[tex]M= 15[/tex]

Solving (c):

[tex]M = 30[/tex]

Find F

Substitute 30 for M in [tex]M : F = 5 : 14[/tex]

[tex]30 : F = 5 : 14[/tex]

Convert to fraction

[tex]\frac{F}{30} = \frac{14}{5}[/tex]

Multiply through by 30

[tex]30 * \frac{F}{30} = \frac{14}{5} * 30[/tex]

[tex]F = \frac{14}{5} * 30[/tex]

[tex]F = 14*6[/tex]

[tex]F = 84[/tex]

The spinner below is spun twice .what is the probability of the arrow landing on a white space and then a space with star

Answers

Answer:

I believe it would be 75% or 3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

c) Write the equation in factored form. The equation is y= x^2 - 8x - 20 // Need answer ASAP

Answers

The first term will be an x because

x squared breaks down as x times x.

First look for factors of your constant that add to your

coefficient of the middle term in the trinomial.

Also note that the constant is negative and a negative

factors as the product of a positive and a negative.

The factors of -20 that add to -8 are -10 and +2.

So we have y = (x - 10)(x + 2).

Log_10 3 ~ 0.771 evaluate log_10 0.0003

Answers

Answer:

If log(subscript 10) 3 is approximately .4771, evaluate log (subscript 10) .0003 Give answer correct to four decimals.

Step-by-step explanation:

If log(subscript 10) 3 is approximately .4771, evaluate log (subscript 10) .0003 Give answer correct to four decimals.

Is 2 a solution of the inequality -2x < -6? example.

Answers

Answer:

x > 3

2 is not a solution since 3 is greater than 2.

hope this helps :D

Answer:

3

Step-by-step explanation:

-2x =-6

-2. -2

x =3

-2 divided by -2x equal x

-2 divided by -6 equal 3

x equal 3

Ana swam -21ft below sea level. Tisha swam -28ft below sea lev who swam the farthest from sea level? I choose Ana but I don’t know I might be wrong..

Answers

Answer:

You're correct

Step-by-step explanation:

-21 > -28

-21 is bigger than -28 so ana did swim further

i’ll give u brainliest please help asap

The sum of the measures of the interior angles of a convex polygon is 1,980. How many sides does the polygon have?
a. 11
b. 12
c. 14
d. 13

Answers

Answer:

c, 14

Step-by-step explanation:

Answer:

the ansewr is b

Step-by-step explanation:

The function g(x) is graphed on the coordinate grid. What is the domain of g(x)?

Answers

Answer:

x[tex]\geq[/tex]5

Step-by-step explanation:

The domain is the function defined on your x-axis.

It starts from 5 and includes 5

so the domain is x[tex]\geq[/tex]5

Can someone help me?

Answers

Answer:48miles

solution on the picture

if it's helpful ❤❤❤

THANK YOU

24. Find f'(x) for f(x) = ax2 + bx.

Answers

Answer:

f'(x) = 2ax + b

Step-by-step explanation:

Differentiate each term using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

f(x) = ax² + bx , then

f'(x) = 2a[tex]x^{2-1}[/tex] + b[tex]x^{1-1}[/tex]

     = 2ax + b[tex]x^{0}[/tex] ( [tex]x^{0}[/tex] = 1 )

     = 2ax + b

The answer above should be correct, I believe it is, but can you please mark me brainlest?

If you are adding (6a – 3) and (-3a + 6), which of the following choices shows like terms correctly grouped? (1 point) TE O (6a - 3a) + (-3+6) It Ite O (6a + 6) + (-3a – 3) Ite o (6a - 3a) - 3 + 6 0 (6a + 3a) + (-3+6)​

Answers

9514 1404 393

Answer:

  (a)  (6a - 3a) + (-3+6)

Step-by-step explanation:

Assuming "properly grouped" means that parentheses are placed around each group of terms, the appropriate choice is the one that groups 'a' terms and constant terms:

  (6a - 3a) + (-3 + 6)

Find the sale price of the item. Round to two decimal places if necessary.
Original price: $210.29
Markdown: 78%
The sale price is $

Answers

Answer:

$46.27

Step-by-step explanation:

210.29×.78=164.02

210.29-164.02=46.27

What is the area of the blue coloured triangle ranging from the two squares of 4x4 and 6x6 dimensions?

Answers

Answer:

Area = 18 Sq.units

Step-by-step explanation:

From the given dimensions we have, we can say that the total length of the base = 6 + 4 = 10 units

Now,since we know that all sides of the red square are 6 units, we can use pythagoras theorem to get the length of the long diagonal that serves as the base of the blue colored area.

Let the diagonal be c. Thus;

c = √(10² + 6²)

c = √(100 + 36)

c = √136

Let length of the horizontal part of the blue area be "b". Thus, b = 6 units

Let the other part of the triangle be a. We can find a from pythagoras theorem.

a = √(4² + 6²)

a = √(16 + 36)

a = √52

Using hero's formula, we can find the area of the triangle;

Area = √(s(s − a)(s − b)(s − c))

Where s = (a + b + c)/2

s = (√52 + 6 + √136)/2

s = 12.4365

Area = √(12.4366(12.4365 −√52)(12.4365 − 6)(12.4365 − √136))

Area = 18 Sq.units

PLS HELPPP I don’t understand and I need help if so pls pls

Answers

Answer:

A

Step-by-step explanation:

rod is closest at 3m change

judy is medium at 7 m change

nelda is deepest at 9m change

Yeah he’s exactly right...... A

can you help me with this question please?

Answers

A. Simplify: 20 p
B. Simplify: 4y
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