What's the next three terms of the following sequence 160,136,112,88

Answers

Answer 1
Every number gets subtracted by 12. Therefore the next three numbers after 88 are 88-24, which is 64, then 64 - 24, which is 40, and 40-24, which is 16.
Answer 2
the next three terms are 64, 40, and 16.
On each number from the sequence you are subtracting 24 from it. So 160-24= 136 then 136-24= 112 then 112-24 = 88 then 88-24 = 64 and so on

Related Questions

what factors do 28 and 44 have in common?

Answers

Factors that 28 and 44 have in common are 1, 2, and 4.

Factors that 28 and 44 have in common:

1. List of Factors for 28:

1, 2, 4, 7, 14, 28

2. List of Factors for 44:

1, 2, 4, 11, 22, 44

Common Factors: 1, 2, 4

4.5(8-x) + 36=102-2.5(3x+24)
what’s x?

Answers

Let's solve your equation step-by-step.4.5(8−x)+36=102−2.5(3x+24)Step 1: Simplify both sides of the equation.4.5(8−x)+36=102−2.5(3x+24)Simplify: (Show steps)−4.5x+72=−7.5x+42Step 2: Add 7.5x to both sides.−4.5x+72+7.5x=−7.5x+42+7.5x3x+72=42Step 3: Subtract 72 from both sides.3x+72−72=42−723x=−30Step 4: Divide both sides by 3.3x3=−303x=−10
First, group your like terms:
30-4.5x+36=102-7.5x-60
30+36-4.5x=102-60-7.5x
66-4.5x=42-7.5x
Second, add 7.5x on both sides:
66+3x=42
Next, subract 66 on both sides:
3x=-24
Now, divide 3 on both sides:
-24/3=-8
x=-8

24 golf balls and 18 golf clubs how many bundles of golf balls and clubs can she make with nothing left over

Answers

24 -18 = 6

24/6 =4

18/6 =3

6 bundles with 4 balls and 3 clubs each

What does the notation f prime of x mean?

Answers

f ' (x) represents the derivative of a function. Primarily used in calculus, the derivative is the rate of change on a nonlinear system. 
If you recall from linear algebra, lines have a slope, as they have a constant rate of change (and the slope was defined as 'm' in y=mx+b). 
Curved systems (like parabola and other complex functions) have varying rates of change, requiring the use of the derivative of a function.

Final answer:

The notation f'(x) represents the derivative of the function f with respect to x, signifying the rate of change of the function or the slope of the tangent to its curve at a specific point.

Explanation:

The notation f prime of x, often written as f'(x), represents the derivative of the function f with respect to x. This concept is a fundamental part of calculus, which deals with the rate at which quantities change. The derivative f'(x) is the instant rate of change of the function f(x) at a particular value of x, or the slope of the tangent line to the curve f(x) at that point.

For example, if f(x) = x2, then the derivative f'(x) would equal 2x, as the rate of change of x2 with respect to x is 2x. This means that for every unit increase in x, the value of x2 increases by an amount corresponding to 2x.

The derivative can also be understood in the context of physics, where it might represent things like velocity, which is the derivative of position with respect to time. Regardless of the context, f'(x) is about understanding how a function changes at a specific point.

Find three consecutive even integers such that the sum of the smallest integer and twice the median is 20 more than the largest integer

Answers

The three consecutive even integers are 10, 12, and 14.

Given that three consecutive even number the sum of the smallest integer and twice the median is 20 more than the largest integer.

Let's represent the three consecutive even integers as follows:

The smallest integer: x

The median integer: x + 2 (since it's consecutive and even)

The largest integer: x + 4 (since it's consecutive and even)

Now, we can set up the equation based on the given information:

"The sum of the smallest integer and twice the median is 20 more than the largest integer."

This can be expressed as:

x + 2(x + 2) = (x + 4) + 20

Now, we can solve for x:

x + 2x + 4 = x + 24

Combine like terms:

3x + 4 = x + 24

Subtract x from both sides:

2x + 4 = 24

Subtract 4 from both sides:

2x = 20

Now, divide by 2:

x = 10

So, the smallest integer is 10, the median integer is x + 2 = 12, and the largest integer is x + 4 = 14.

Therefore, the three consecutive even integers are 10, 12, and 14.

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ello guys pls help with me with this ques

Answers

Hello,

Using Thalès,

[tex] \dfrac{12}{12+6} = \dfrac{XY}{24} \\\\ ==\ \textgreater \ XY= \dfrac{12*24}{18} =16[/tex]

How do you factor: 12x^2-4x-40

Answers

First factor the gcf out
4(3x^2-x-10)

From here use slip and slide for the inner trinomial
x^2-x-30
(x-6)(x+5)
(x-6/3)(x+5/3)
(x-2)(3x+5)

Final answer: 4(3x+5)(x-2)

The Porters’ food, clothing, and medical expenses are not fixed expenses. Explain what type of expense they are, and why.

Answers

Food, clothing, and medical are variable expenses because they occur regularly but can change from month to month.

The Porters’ food, clothing, and medical expenses are variable expenses.

A fixed expenses are the expenses that are constant and doesn't change while the variable expenses are those that are not fixed since they change.

In this case, Porters’ food, clothing, and medical expenses are variable expenses since they can change every month.

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A plant has a height of 8 1/4 inches what is the height of the plant after it grows 1 7/8 inches?

Answers

Final answer:

The height of the plant after it grows 1 7/8 inches is 81/8 inches.

Explanation:

To find the height of the plant after it grows 1 7/8 inches, we need to add 1 7/8 to the current height of 8 1/4. First, we can convert 8 1/4 to an improper fraction by multiplying the whole number (8) by the denominator (4) and then adding the numerator (1). This gives us 33/4 inches. Next, we can add 1 7/8 by finding a common denominator (8) and adding the numerators (1+7=8). So, 1 7/8 is equivalent to 15/8. Adding 33/4 and 15/8, we first need to find a common denominator which is 8. Multiplying the numerator and denominator of 33/4 by 2 gives us 66/8. Now, we can add 66/8 and 15/8 to get a total of 81/8 inches. Therefore, the height of the plant after it grows 1 7/8 inches is 81/8 inches.

Final answer:

After adding the growth of 1 7/8 inches to the original plant height of 8 1/4 inches, the new height of the plant is calculated to be 10 1/8 inches.

Explanation:

To calculate the new height of the plant after it grows an additional 1 7/8 inches, we simply need to add this growth to the plant's original height of 8 1/4 inches. The sum of these two measurements will give us the plant's total height.

Begin by converting the mixed numbers to improper fractions to make addition easier: 8 1/4 inches becomes 33/4 inches and 1 7/8 inches becomes 15/8 inches. Next, find a common denominator and add the two fractions.

Common denominator for 4 and 8 is 8.Convert 33/4 to an equivalent fraction with a denominator of 8, which is 66/8.Add 66/8 inches and 15/8 inches.(66/8) + (15/8) = 81/8 inches.

Now, convert the improper fraction back to a mixed number to determine the plant's new height:

81 divided by 8 is 10 with a remainder of 1.So, 81/8 inches is equal to 10 1/8 inches.

Therefore, after growing an additional 1 7/8 inches, the plant's new height is 10 1/8 inches.

Write the function y = 3(x - 1)2 + 2 in standard form.

Answers

3 x 2 = 6

6(x-1) = 6x - 6

6x - 6 + 2

6x -4

hope this helps

PLEASE HELP!!!! The measure of an angle is x. The sum of the measure of this angle and an angle with twice the measure is the measure of an obtuse angle. Given the range of possible measures for the larger angle

Answers

Obtuse angles have a measure of over 90 degrees while being under 180 degrees. In this case, the measure of the larger angle and the smaller angle add to being 3 times the smaller angle (x + 2x). For the smaller angle to be over 90 degrees (the smallest obtuse angle), 3x > 90, or x > 30 degrees and 2x > 60 degrees. For the upper bound (180 degrees), the inequality is 3x < 180, so x < 60 and 2x < 120. The range of values for the larger angle would be 60 < 2x < 120.

How do you simplify 25-4x-15/4

Answers

Step 1. Collect like terms

[tex]-4x+(25- \frac{15}{4} )[/tex]

Step 2. Simplify

[tex]-4x+ \frac{85}{4} [/tex]

Done! :)

How to multiply a whole number into a fraction?

Answers

Greetings!

To multiply a fraction, both terms must be a fraction.
To turn a whole number into a fraction (without changing the value of the number), we put 1 as the denominator:

Example:
8=8/1

Now that you have terms as fractions, you can multiply them by eachother:
8/1*2/5
=16/5

Hope this helps.
-Benjamin

Find the value of d in the triangle

Answers

d = 3/ sin(15)

d= 11.5911 feet

round answer as needed

Which of the following is not a good plan for achieving goals? a. Set goals higher than what you feel you can achieve. b. Be positive about achieving your goals. c. Continue to monitor your plan for achieving your goals. d. Keep reminding yourself of your goals.

Answers

The correct answer is a) Set goals higher than what you feel you can achieve.

Answer: Set goals higher than what you feel you can achieve.



Step-by-step explanation:


What is the exact value of sin30


Answers

Hi Bailey!

The exact value of sin30 is 1/2


Just use calculator, then press sin and put the number 30 then you will find it.


I hope I helped!

If a person puts 1 cent in a piggy bank on the first day, 2 cents on the second day, 3 cents on the third day, and so forth, how much money will be in the bank after 40 days? $8.20 $16.40 $0.40 $4.10

Answers

this is an arithmetic sequence with the common difference being 1

and if u have 1 cent on day 1 and 2 cents on day 2....then on day 40, u would have 40 cents....but we need the sum of all the days..

the sum of an arithmetic sequence can be found using the formula :
sn = n(a1 + an) / 2
n = number of terms = 40
a1 = first term = 1
an = last term = 40

now we sub
s(40) = 40(1 + 40) / 2
s(40) = 40(41)/2
s(40) = 1640/2
s(40) = 820.....820 cents = $ 8.20 <== the sum

Considering the one-time deposit and monthly rent, the equation y=1200+400x can be used to represent y, the total cost of renting an apartment for x months. What is the amount of the deposit?
A. $30
B. $400
C. $800
D. $1200 <--- My answer ( Check this please ^_^

Answers

In this item, we are given with the equation,
    y = 1200 + 400x

where y is the total amount of rent and x is the number of months. 

There are two terms in the right-hand side of the equation: 1200, and 400x. It is observed that the value of the first term is constant at 1200 while that of the second term is variable depending on the number of months. The first term therefore can be attributed as the deposited value. 

Therefore, the answer to the question is letter D. 

What is the length of line RS? Use the law of sines to find the answer.Round to the nearest tenth.

Answers

Using the law of sines,
sin80°/3.1 = sin∠QSR/2.4
∠QSR = sin^-1(2.4sin80°/3.1)
≈ 49.679°
∠SQR = 180° - 80° - 49.679° (angles in a triangle)
= 50.321°
sin50.321°/RS = sin80°/3.1
RS = (3.1sin50.321°/sin80°)
= 2.4 units (nearest tenth)
The length of line RS is 2.4 units.

When using the substitution method to solve a nonlinear system of equations, you should first see if you can _____ one variable in one of the equations in the system?

Answers

You have to be able to solve for one of the equations to equal one of the two variables in the equation. For an example, y-2x=6 and 2y+6x=33 then you add the 2x on both sides of the first equation which would look like this, y=2x+6, to substitute the y in the second equation.....

Staci has 7 more cats than Taylor. Write an expression that illustrates how many cats Staci has. use x to represent the number of cats that Taylor has

Answers

Taylor=T   Staci=S
T=x   S=x+7

At what value of x does the graph of the following function F(x) have a vertical asymptote? F(x)= 2/x-2

Answers

at the values of x which makes the denominator zero.

That is x = 2

At a value of 2, the graph of F(x) = 2/x-2 has a vertical asymptote.

Find the rate of change of the surface area of a sphere with respect to the radius r. what is the rate when r = 6?

Answers

48pi which is approximately 150.7964 The formula for the area of the surface of a sphere is 4pi r^2. The first derivative of that equation will give the rate of change of the surface area. So multiply the constant by the exponent and then subtract one from the exponent. So the first derivative of 4pi r^2 is 8pi r The rate when r = 6 is then calculated by substituting 6 for r in the expression. 8pi 6 = 48pi which is approximately 150.7964

Final answer:

The rate of change of the surface area of a sphere with respect to its radius is 8πr. For a sphere with a radius of 6, this rate is 48π square units per unit of radius.

Explanation:

The surface area S of a sphere is given by the formula S = 4πr², where r is the radius of the sphere. To find the rate of change of the surface area with respect to the radius, we need to differentiate the surface area formula with respect to r. This calculation gives us dS/dr = 8πr. When r = 6, the rate of change, or the derivative evaluated at this radius, is dS/dr = 8π(6) which equals 48π.

So, the rate of change of the surface area of a sphere with respect to its radius when r = 6 is 48π square units per unit of radius.

Select all the expressions that cannot be factored using intergal coefficients and intergal constants
A. X^2 + 5x + 3
B. 25 - 20x + 4x^2
C. -2x^2 + 7x - 3
D. 2x^2 - 5x + 4

Answers

cannot be factored

A. X^2 + 5x + 3
D. 2x^2 - 5x + 4

can be factored
B. 25 - 20x + 4x^2 = (5 -2x)^2
C. -2x^2 + 7x - 3 = -(x - 3)(2x - 1)

so answer
A. X^2 + 5x + 3
D. 2x^2 - 5x + 4

The area of a rug is 36 square feet. the length of the rug is 5 feet longer than the width. what is the width of the rug?

Answers

Hope it can help you

What integer is equivalent to 25 3/2

Answers

there isn't one...an integer is a whole number

25 3/2 = 26.5....not a whole number

Answer: 13

25 3/2 = 26.5

26.5 is basically 26 1/2

26 1/2 = 13

Why is it important to take note of skipped check numbers?

A. Skipping a check wastes the check and will end up costing money.
B. Locating skipped checks helps to identify where the fees come from.
C. Skipped checks were written for more money than was available in the account.
D. A skipped check has not been cashed or deposited.

Answers

It hasnt been cashed or deposited. 

Answer:

D. A skipped check has not been cashed or deposited.

Step-by-step explanation:

We can say that a skipped check number means the check has not been cashed yet.

If we see the check book and there is a gap between the check numbers that you have written, then that means the missing number checks are not processes yet. The processing can be depositing or withdrawing/cashing.

So, the correct answer here is D. A skipped check has not been cashed or deposited.

Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = i/pie . Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?

Answers

The formula to find the amount of money (p) is
P=I/rt
P the amount of money ?
I simple interest 20
R interest rate 0.05
T time 5years
So
P=20÷(0.05×5)
P=80

Hope it helps!

r= 5% = 0.05

t = 5 years

I= 20

P=20÷(0.05×5)
P=$80

What is the measure of DG?

In circle D, mGEC is 230 degrees
What is the measure of GDC?

what is the measure of AC?

Segment CO is congruent to segment HZ
which congruence statement is true?
A. OZ is congruent to CO
B. CH is congruent to COZ
C. CH is congruent to HZO
D. CO is congruent to HZ

in circle K, what is the value of x?
A. x=30
B. x=25
C. x=20
D. x=15

Answers

Problem 1)

Minor arc DG is 110 degrees because we double the inscribed angle (DHG) to get 2*55 = 110


Answer: 110 degrees

=================================================

Problem 2)

Central angle GDC is the same measure as arc GFC. The central angle cuts off this arc.

The arcs GEC and GFC both combine to form a full circle. There are no gaps or overlapping portions.

So they must add to 360 degrees

(arc GEC) + (arc GFC) = 360
(230) + (arc GFC) = 360
(230) + (arc GFC)-230 = 360-230
arc GCF = 130 


Answer: 130 degrees

=================================================

Problem 3)

Similar to problem 1, we have another inscribed angle. ABC is the inscribed angle that cuts off minor arc AC

So by the inscribed angle theorem
arc AC = 2*(inscribed angle ABC)
3x+9 = 2*(3x-1.5)

Solve for x
3x+9 = 2*(3x-1.5)
3x+9 = 6x-3
9+3 = 6x-3x
12 = 3x
3x = 12
3x/3 = 12/3
x = 4

If x = 4, then 
arc AC = 3x+9
arc AC = 3*4+9
arc AC = 21


Answer: 21 degrees

=================================================

Problem 4)

Since we have congruent chords, this means that the subtended arcs are congruent. In this case, the arcs in question are CO and HZ

So arc CO is congruent to arc HZ


Answer is choice D

=================================================

Problem 5)

We have a right triangle due to Thale's theorem

The angles 75 degrees and x degrees are complementary angles. They must add to 90

x+75 = 90
x+75-75 = 90-75
x = 15


Answer: Choice D) 15 

It can be deduced that the value of angle GDC is 110°.

How to calculate the angles

The value of minor arc DG will be;

= 2 × 55°

= 110°

The value of AC will be:

= 230° + AC = 360°

AC = 360° - 230°

AC = 130°

Lastly, since segment CO is congruent to segment HZ, CO is congruent to HZ.

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If an item is 1/3 off, to calculate the final price simply divide the original price by 3. true or false

Answers

false..

if it was asking for 1/3 of the original price, it would be true
but 1/3 off....means u are paying 2/3...so u would multiply the original price by 2, then divide by 3...or u would take the original price and subtract 1/3 * the original price

Answer:

False.

Step-by-step explanation:

If an item is [tex]\frac{1}{3}[/tex] off thats how much you are not paying from the original price of the item, to calculate how much are you paying after the disccount you can do 2 things.

The first one is multiplying the price by [tex]\frac{1}{3}[/tex] and then substracting that from the original price, that will give you the final price.

Or you can simply multiply the original price by 2/3 which is what you have to pay for the item in terms of fractions, and you´d get the final price.

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