Mathematics High School

Find the next term of the following sequence.

25, 10, 4,

Answers

Answer 1

The given sequence is 25, 10, 4.

Notice that this is a geometric sequence because here we have equal common ratio.

So, common ratio : r = [tex] \frac{a_{2}}{a_{1}} [/tex]

= [tex] \frac{10}{25} [/tex]

= 0.4

So, each term is 0.4 times of it's previous term.

Hence, to get the next term of this sequence, multiply 0.4 with the third term 4.

So, fourth / next term = 4* 0.4 =1.6

Hence, next term of this sequence is 1.6.

Hope this helps you!

Answer 2

Answer:

Step-by-step explanation:

the answer is 8/5 i just did it on my quiz and got it right.

Related Questions

Plz help fast will mark brainiest

Determine whether each ordered pair is a solution of y= 2x-4
(3,2)

Yes or No?

Answers

2 x (-4) is -8. So no
Yeah no, I used that solution and I got close to (3,2) yet it wasn't exactly (3,2) yet (2,3).

The cost for parking at a parking garage is $2.25 plus an additional $1.50 for each hour. What is the total cost to park for 5 hours?

Answers

P=$2.25+5*$1.50=$9.75
The total cost to park for 5 hours is $9.75
1.5h+2.25    h=hours=5   1.5•5=7.5     7.5+2.25=9.75
the answer is $9.75

A town's population has been growing linearly. In 2003, the population was 25000, and the population has been growing by 1200 people each year.Write an equation for the population
x
years after 2003.

Answers

y=25000*1200x

y would equal the population of the year and x is the amount of years passed.
in year 2003 (starting year) it had 25000 pple
let's say a=25000
so steadily each year it increases by 1200
which means the difference between two consecutive years would be 1200 pple
now this is an arithmetic progression
using Tx=a+(x-1)1200
tx= 25000+(x-1)1200
tx=25000+1200x-1200
tx= 23800+1200x
that's the eqn after X years

2. Your Turn: How many elements are in the sample space for spinning a spinner labeled A, B, C, D? *
1 point
1
4
8
16

Answers

since the spinner is labelled A, B, C, D, there are four possible landing for the spinner.

Thus, the sample space is {A, B, C,D}.

Therefore, the number of elements in the sample space for spinning a spinner labeled A, B, C, D is 4.

A squirrel climbs 15 feet up a tree. He then runs 8.26 feet down the tree. How much further does the squirrel need to go before reaching the ground?

A)7.36 feet
B)7.26 feet
C)6.74 feet
D)8.11 feet

Answers

the answer is c 6.74 feet

Answer:

C

Step-by-step explanation:

what is the slope-intercept equation of a line that has a slope of -2 and a y-intercept of (0,3)

Answers

Your equation would be y = -2x + 3

-2 represents the constant, or slope, and +3 represents what y equals when x is zero

Hope this helps!

The first side of a triangle is 2 cm longer than the second side. the third side is 5 cm shorter than twice the second side. the perimeter is 49 cm. find the length of each side.

Answers

Side 1: x+2
Side 2: x
Side 3: 2x-5
Perimeter(sum of the sides)= 49 cm

(x+2)+x+(2x-5)=49
4x-3=49
4x=52
x=13

Side 1=15 cm
Side 2=13 cm
Side 3=21 cm

The sides of the triangles will be 15 cm, 13 cm and 21 cm.

What is a triangle?

A closed polygon with three sides, angles and vertex is called triangle.

Given that, the first side of a triangle is 2 cm longer than the second side. the third side is 5 cm shorter than twice the second side and the perimeter is 49 cm.  

Let the second side be x, then the sides will be,

x+2, x and 2x-5

∵ Perimeter = 49 cm

∴ x + 2 + x + 2x - 5 = 49

4x-3 = 49

4x = 52

x = 13

Therefore, side will be =

Side 1 = 15 cm

Side 2 = 13 cm

Side 3 = 21 cm

Hence, the sides of the triangles will be 15 cm, 13 cm and 21 cm.

Learn more about triangles, click;

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Forty-eight pounds of sand are used to fill 12 bags.


Miranda uses the five-step problem-solving plan. After completing the Solve step, how many pounds of sand should she find each bag will hold?

Answers

Each bag will hold 4 pounds. You don't need this 5-step solving plan. just divide the numbers.

BRAINIEST ANSWER! PLEASE! ABOUT AREA AND PERIMETER!

Answers

each little square = 1 square inch

the design takes up 21 squares so area is 21 square inches

 the perimeter = 6 +2+3+3+3+5 = 22 inches

Find the length of the hypotenuse:

Answers

to find the hypotenuse on the given triangle

divide the given height ( 3sqrt(2) ) by the sin of the given angle (45)

 3sqrt(2) / sin 45 = 6

answer is B. 6

Method 1:

The sides of a right-angle triangle are equal when the angle = 45°

[tex] a^2 = b^2 + c^2 \\ a^2 = (3 \sqrt{ 2 })^2 + (3 \sqrt{ 2 })^2 \\ a^2 = 9 \times 2 + 9 \times 2 \\ a^2 = 36 \\ a = \sqrt {36} = 6 [/tex]

Method 2:
(Optional)

Using TOA CAH SOH method

Where:

TOA is Tan θ = Opposite/Adjasent
CAH is Cos θ = Adjasent/Hypotenuse
SOH is Sin θ = Opposite/Hypotenuse

You have an angle of 45° and OPPOSITE the angle is a known length.

These are the 2 information we know.

We need to find the third information, which is the HYPOTENUSE.

Notice the capatialised words start with the letter O ans H?

Find in the TOA CAH SOH the corresponding letters, in this case SOH.

SOH is sin θ = opposite/hypotenuse

Simply substitude in the values and find the hypotenuse!

sin 45° = (3√2)/ hypotenuse
hypotenuse = (3√2) / sin 45° = 6

Answer is B.

And there you go! Both methods can be used and gives the same answer.

However the limitations to method 2 are:

1. It must be a right-angle triangle
2. An angle and a side must be given.


If you think method 2 is too confusing, stick to method 1.

Good luck!

HELP PLEASE!

Which equation can be used to find the solution of (1/2)^2x = 32 ?


a) 1/2x=5

b) −2x=5

c) 2x = 5

d) −1/2x=5

Answers

The answer is b, not c. I just completed the quiz and got the question wrong by answering c. :/


PLEASE HELP FAST!!!

Step 3: Solving real-world problems that involve markups

a) A local shoe store buys shoes at a wholesale price and then marks them up 80% to calculate the retail price. The wholesale price varies, depending on the quantity of shoes purchased. (2 points)

This is the table

Quantity 0-20 pairs 21-40 pairs 41-60 pairs 61-80 pairs 81 or more pairs

Wholesale Price (per pair) $25.00 each $23.00 each $21.00 each $19.00 each $17.00 each

Write an equation that could be used to find the retail price for each range. How do you know the equation will work consistently for each range? (2 points)

Answers

since all the shoes get marked up by 80%

 the equation for all of them would be :

y = new price

x = wholesale price

y = 1.8x

PLZZZZZZZZZZZZ HELP ME!!!!!!!!!!!!
Use the order of operations to simplify this expression.

4 + 0.8 × 1.5 - 3

4.2
3.3
2.2
7.2

Answers

Multiplication goes first 0.8x1.5=1.2
4+1.2-3= 2.2

True or false: there are infinitely many bisectors, but only one perpendicular bisector for any segment.

Answers

The answer is to your question is : (TRUE)

There are 6 quarters in a jar .jill adds 2 quarters everyday which linear equation represents the total amount of quarters in the jar after x days

Answers

The initial number of quarters in a jar is 6. We know that Jill adds 2 quarters everyday, and by hypothesis, x represents the number of days.
So after x days, Jill has added 2x quarters.
Which means that after x days, the total numbers of quarters in the jar is:
2x + 6.

So the linear equation that represents the total amount of quarters in the jar after x days is: f(x) = 2x + 6

Hope this helps! :)
Let y be the total number of quarters in the jar after day x. How many quarters does Jill have on day 0? Clearly 6, since that information was stated in the question. So, we know that each additional day is going to be adding to that initial six. One day 1, when x=1, we have 2 more quarters, or:

y = 6 + 2 = 8 quarters altogether.

When x = 2, we have:

y = 6 + 2 + 2 = 10 quarters altogether.

And when x = 3, we have:

y = 6 + 2 + 2 + 2 = 12 quarters altogether.

Do you notice a pattern here? What's the relationship between the number of 2's and the value of x? How can you use that relationship to come up with a general equation?

Monica has saved $735 for a new guitar and lessons. her guitar costs $475, and guitar lessons are $25 per hour. determine how many hours of lessons she can afford.

Answers

475+25h≤735
25h≤260
h≤10.4

10 hours

A segment with endpoint a(3,1) and b(-1,1) is rotated 90° about the origin.what are the coordinates of a' and b' ? (geometry 10 a lesson 3 unit 5,if you know the answers to this whole practice pls give them to me pls and tysm)

Answers

You know that the segment is rotated at a 90 degree angle. 
As seen, the segment is in quadrant one and two. 

For a': 
a(3, 1) --> (-3, -1) 

For b': 
b(-1, 1) --> (1, -1) 

As you can see, the coordinate's signs are reversed for each case.

Hope I helped :) 

What is the measure of angle C? 25° 30° 60° 75°

Answers

Answer:

75°

Step-by-step explanation:

What is the measure of angle 1

Answers

The horizontal lines are parallel. Draw the figure on a piece of paper. Now, extend the segment that forms the 36-deg angle with the upper horizontal line until it intersects the lower horizontal line. Now you have a triangle. One angle of the triangle is 31 degrees at the bottom right. At the bottom left, you have an angle that is an alternate interior angle to the 36-deg angle at the top right, so the angle at the bottom left of the triangle also measures 36 deg. Angle 1 is an exterior angle of this triangle. The measure of an exterior angle of a triangle is the sum of the measures of the remote interior angles. The 31-deg angle and the 36-deg angle are the remote interior angles to angle 1, so m<1 = 31 + 36 = 67.

Jimmy had $4.52 to spend. He found something he wanted to buy for $6.21. How much would he need to borrow from his friend to make his purchase?

Answers

He would need to borrow $1.69

Answer:

$1.69

Step-by-step explanation:

If he wants to buy something for $6.21 but he only has $4.52, we need to find out the difference between $6.21 and $4.52.

For that, we have to subtract the smallest number from the biggest, that is

$6.21 - $4.52 = $1.69

Therefore, he would need to borrow $1.69 from his friend.

1/4x+5/3x-4=2-1/12x what is the answer ??????

Answers

I hope this helps
the answer is x=3
I believe the answer is: 

x=3

have a noice day

Amanda was 48 inches She grew n inches last year and is now 56.5 inches write an expression that represents the number of inches Amanda grew

Answers

the answer to your question is 48+x=56.5

The sum of three numbers is 45 one number is 10 more than the second number it is also twice the third number find the numbers

Answers

Final answer:

The numbers cannot be uniquely determined with the given information.

Explanation:

Let's solve this problem step by step.

Let's assume the second number is 'x'. Since the first number is 10 more than the second number, then the first number can be represented as 'x + 10'.

Since the first number is also twice the third number, the first number can be represented as '2y', where 'y' is the third number.

Now, we can form an equation using the given information: x + (x + 10) + 2y = 45

Simplifying the equation, we get: 2x + 2y + 10 = 45

Further simplifying, we get: 2x + 2y = 35

Dividing both sides of the equation by 2, we get: x + y = 17.5

Now, we have two variables and one equation, which means we have an infinite number of possible solutions. We need more information to determine the actual values of x and y.

Therefore, the numbers cannot be uniquely determined with the given information.


Factor the expression completely over the complex numbers.

y^4+12y^2+36


Answers

y⁴ + 12y² + 36
Now factorize the expression
y⁴ + 6y² + 6y² + 36
= y²(y² + 6) + 6(y² + 6)
= (y² + 6) (y² + 6)
Now 6 is not the perfect square and according to rule, binomial can not be factored as the difference of two perfect squares.
so multiply both.
(y² + 6)² is the answer.

Answer:

the answer given is not in complex form using i variable

Step-by-step explanation:

What’s angle CR PQ and CQ?

Answers

CR = CP = 17

PQ = QR = 15

CQ = x^2 +15^2 = 17^2 = x^2 + 225 = 289

x^2 = 289-225 = 64, sqrt(64) = 8, CQ = 8

An internet service provider is implementing a new program based on the number of connected devices in each household. Currently, customers are charged a flat rate of $175 per month. The new plan would charge a flat rate of $94 plus an additional $4.50 per device connected to the network. Find and graph the number of devices, x, for which the cost of the new plan is less than the current plan.

Answers

The current rate is simply equal to $175 per month, let us call this as rate A:

A = 175

 

The new rate is $94 plus $4.50 per devices, let us call this as rate B:

B = 94 + 4.50 x

where x is the number of devices connected to the network

 

The inequality equation for us to find x which the new plan is less than current plan is:

94 + 4.50 x < 175

 

Solving for x:

4.50 x < 81

x < 18

So the number of devices must be less than 18.

 

 

- From the graph, we can actually see that the new rate intersects the current rate at number of devices equal to 18. So it should really be below 18 devices.

The number of devices connected should be less than 18 (1 to 17 devices) so that the new charges will be less than the old charge.

Given:

The old monthly charge for internet service per household is $175.

The new charges include a fixed pay of $94 plus $4.50 per connected device.

Let x be the number of connected devices.

So, the new charges can be written mathematically as,

[tex]C=94+4.5x[/tex]

Now, the new charge should be less than the old charge. This condition can be written as,

[tex]C=94+4.5x<175\\4.5x<81\\x<18[/tex]

So, the number of devices connected should be less than 18 (1 to 17 devices) so that the new charges will be less than the old charge.

See the attached graph.

For more details, refer the link:

https://brainly.com/question/18272298?referrer=searchResults

pleaseeeeeeeeee help meeeeeeee

Answers

The best answer is C : The sum of the measures of two angles os 180 degrees . 


2(x + 7) + 3x = 12
What is the first step in solving this equation for x?

Answers

first step is expand by using distributive property
2(x + 7) + 3x = 12 

step 1:
2x + 14 + 3x = 12
First step would be to expand it and make it 2x + 14 + 3x = 12

Second step would be to add 2x + 14 + 3x so it can be 5x + 14

Third step would be to subtract 14 from both sides

Fourth step would be to subtract 12 - 14 so it can be -2

Last step to get your answer would be to divide both sides by 5

Answer to this whole equation: x = -2/5.

If she steals 100 buys 70 worth of stuff owner gives u 30 back how much did owner lose

Answers

Owner would lose out on $100

..........





the x value??

Answers

x = 180 - 2(73)
x = 180 - 146
x = 34

answer
x = 34
I think the answer is

x=34
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