Find the next three terms in each sequence ​

Find The Next Three Terms In Each Sequence

Answers

Answer 1
33, 42, 51

•••• those answer are in question one

409, 509, 609

•••• those answers are in question two

5/12, 5/16, 5/20

•••• those questions are in question five

Related Questions

Stretched 1 cm beyond its natural length, a rubber band exerts a restoring force of magnitude 2 newtons. Assuming that Hooke's Law applies, answer the following questions:

(a) How far will a force of 3 newtons stretch the rubber band?

(b) How much work does it take to stretch the rubber band this far?

Answers

A) The distance that a force of 3 newtons would stretch the rubber band is; 0.015 m

B) The amount of work it takes to stretch the rubber band this far is; 0.0225 J

How to solve Hooke's Law?

From Hookes's law, as long as the elastic limit is not exceeded the extension is directly proportional to the force applied.

F = Ke

Where;

F = force

K = force constant

e = extension

Thus,  for a restoring force of magnitude 2 newtons ;

2 N = K(1 × 10⁻²) m

K = 2 N /(1 × 10⁻²) m

K = 200 N/m

a) For a force of 3 newtons, we have;

3N = 200 N/m × a

Where a is the extension in meters

a = 3N/200 N/m

a = 0.015 m

b) The formula to find the work done is;

P.E = ¹/₂Ke²

P.E = ¹/₂ * 200 * 0.015²

P.E = 0.0225 J

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Use the given graph of f to find a number such that if 0 < |x − 3| < then |f(x) − 2| < 0.5.

Answers

Answer:

x=3, = -2

Step-by-step explanation:

have data on the weights in grams of 5 baby pythons. Thè mèan weight is 3l.B and dre standard deviation of the r,veights is2.79. The correct units for the standard deviation are

Answers

We have data on the weights in grams of 5 baby pythons. Their mean weight is 31.8 and the standard deviation of the weights is 2.79 . The correct units for the standard deviation is Grams.

According to the question statement, We have data on the weights in grams of 5 baby pythons. Their mean weight is 31.8 and the standard deviation of the weights is 2.79.

The correct units for the standard deviation is Grams because the unit of standard deviation is the unit of simple data and the unit of variance is the square of the simple data unit.

And as we know the unit of weight is Grams only hence we conclude that Grams is the correct unit of standard deviation.

Standard Deviation: Abbreviated as SD and standard deviation is a measure of the amount of variation of a set of values. A low standard deviation indicates that the values tend to be close to the mean (expected value) of the set, while a more or high SD indicates that the values are spread out over a wider range.

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Which of the following is a valid claim based on the graph?
Time Spent Studying for
Math Mid-Term Exam
il..
Sandra Evan
Marie Ted Jose
Students
OA. Marie finds math easier than the other students.
Time (in hours)
O B. Marie had another test to study for the same night.
4
OC. Evan received the highest score on the exam.
O D. Evan studied twice as long as Ted.

Answers

A valid claim based on the graph is that: D. Evan studied twice as long as Ted.

What is a graph?

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

By critically observing the graph (see attachment), we can logically deduce the following data points:

Sandra's study time, S = 4 hours.Evan's study time, E = 6 hoursMarie's study time, M = 1 hour.Ted's study time, T = 3 hours.Jose's study time, J = 4 hours.

From the information provided, we have the following true statements:

S = T

E = 2T

In conclusion, we can reasonably infer and logically deduce that a valid claim based on the graph is that Evan studied twice as long as Ted.

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For the universal set, u= (5, 6, 7, 8, 9) , complete the parts below.
Write your answers in roster form or as .

Answers

Given the subset A, the complement of A, A' is  {6}

Given the complement of C, C is {5, 7, 9}

What are the answers in roster form?

The universal set contains all the elements of the subsets. '  means complement = it means elements that are not in the subset but in the universal set.

To write a set in a roster form, the elements in the set are written in a row within curly brackets - { }. The elements in the set are then separated by commas.

A' = {6}

C = {5, 7, 9}

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Debra bought 1.025 pounds of ham and 1.143 pounds of turkey. Each pound of ham and turkey costs $5.00. How much did Debra spend?

Answers

Answer:

10.84

Step-by-step explanation:

1.025*5+1.143*5=10.84

Describe the end behavior of each polynomial.

Answers

(a) The leading coefficient is positive and the degree is odd, so:

As x approaches infinity, y approaches infinity.As x approaches negative infinity, y approaches negative infinity.

(b) The leading coefficient is negative and the degree is even, so:

As x approaches infinity, y approaches negative infinity.As x approaches negative infinity, y approaches negative infinity.

Erin charged $900 on the current credit card this billing cycle. Erin pays $300 towards the balance by the due date, but is unable to pay the remaining $600. The balance of $600 carries over to the next billing cycle, but he must pay interest on this amount as well. If the APR is 15%, how much interest will be added to the payment for the next billing cycle?

Answers

$690 is the next bill payment will be added for the next billing cycle.

What is rate of interest ?

An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.

Total payment charged = $900

amount paid = $300

amount remained = $600

APR on $600 = 15%

= 600*15/100

= 600*0.15

= $90

Therefore, in the next bill total amount charged is 600 +90 = $690

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Answer:

7.50

Step-by-step explanation:

Finance Charge =.1512×$600=$7.50

$7.50 will be added to his balance next billing cycle, it is the cost he must pay for borrowing $600 from the credit card company this cycle.

150 is 96 percent of what number

Answers

Answer:

Step-by-step explanation:

Comment

Let the unknown number = x

You should try and figure out if x is bigger than 150 or less than 150.

The equation will tell you.

96/100  * x = 150            96/100 = .96 So you will get something larger than 150 for x

Combine

96/100 = 0.96

Equation

.96*x = 150                      Divide by 0.946

.96x/.96 = 150/0.96

Answer

x = 156.25

And as predicted, the answer is larger than 150, because you were dividing by a number less than 1

A car company uses the table below to show customers the approximate amount of gas used when a car has been driven a certain number of miles.

Gas Use
Miles driven
Gallons of gasoline used
120
6
300
15
360
18
480
?

If the car always uses the same amount of gasoline each mile, how many gallons of gasoline would be needed to travel 480 miles?
A.20
B.24
C.33
D.39

Answers

B.24
360+120= 480
360 used 18 gallon and 120 used 6 gallon so 18+6=24

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y=1/3x+5

Step-by-step explanation:

Slope-intercept form is y=mx+b, m being the slope and b being the y-intercept. y and x don't need to be specified for this specific problem.

You figure out the slope by using rise over run

you first pick 2 random points on the line and then count how you get from the 1st point to the 2nd point.

Let's say the points are (-3,4) and (0,5).

to get to (0,5) from (-3,4) you count up 1 (rise) and right 3 (run).

that means your slope is 1/3

Your b, or your y-intercept, is just where the slope intercepts the y-axis, so b=5

From there you just plug those into the equation:

y=1/3x+5

:D

emiah The length of a ruler is 12 inches. There are approximately 25.4 millimeters in 1 inch. Which measurement is closest to the length of the ruler in millimeters? A 3,048 mm B 30.48 mm C304.8 mm D 3.048 mm​

Answers

Answer:

C 304.8

Step-by-step explanation:

Answer:

C 304.8 mm

Step-by-step explanation:

12*25.4 = 304.8

The line of reflection is the y-axis.
True
False

Answers

Answer: True :)

Step-by-step explanation:

The perimeter of the rectangle shown below is 23 feet. What is the missing side length

Answers

Answer:

If you could take a picture of the rectangle I could help you answer that. I can't see the rectangle.

HELP ME OUT PLEASE!!!

What does the slope represent?​

Answers

Answer:

there is a change of 2* per hour

Step-by-step explanation:

Answer:

The slope is 2

Step-by-step explanation:

Slope is rise/run

4/2=2

Please help I’m about to lose it!!!

Calculate the distance between the points N=(-8, -2) and C= (-3, 1) in the coordinate plane

Give an exact answer (not a decimal approximation).

34 is incorrect

Answers

Answer: 8

Step-by-step explanation:

starting from the x coordinates, -8 and -3, subtract them and get 5. Moving on to the y coordinates, -2 and 1, you add 2 and 1 to get 3. In total after adding 5 and 3 you get 8. When the coordinates (that are in the same spot) are the same, you are subtract. But when they are different, you add. Sorry if this is confusing! But in the end, 8 is he answer.

Need help with this paper please

Answers

Answer:

Step-by-step explanation:

9. Use the following data. 15, 24, 32, 46, 46, 58. Match the measures on the left with the values on the right.
1. median
2. mode
3. mean
4. range

Answers

Check out the attached photo

The perimeter of the pentagon below is 63 units. Find the length of side AB.
Write your answer without variables.

Answers

Answer:

15

Step-by-step explanation:

The sides add to 63, so:

[tex]11+3x+11+x+2+2x+3=63 \\ \\ 6x+27=63 \\ \\ 6x=36 \\ \\ x=6 \\ \\ \implies AB=2(6)+3=15[/tex]

Find the perimeter and are of the trapezoid

Answers

Answer:

47.7ft

Step-by-step explanation:

12.8ft+6.2ft+13.9ft+15.5ft=47.7ft

_____= 240 mL
Group of answer choices

4 oz

4 pints

1 cup

8 drams

Answers

The volume 240 ml to oz is 8 oz.

How to find volume in different units?

The volume is in millilitres. Therefore, we have to convert to other units.

1 ml = 0.033814 oz

1 ml = 0.00175975 pints

1 ml = 0.00422675 cup

1 ml = 0.57 grams

Hence, lets convert the volume to the various units.

1 ml = 0.033814 oz

240 ml = ?

cross multiply

volume = 240 × 0.033814 = 8.11536 oz = 8 oz

1 ml = 0.00175975 pints

240ml = ?

volume = 0.00175975 × 240 = 0.42216 = 0.4 pints

1 ml = 0.00422675 cup

240 ml = ?

volume =  0.00422675 × 240 = 10.1442 cups

1 ml = 0.57 grams

240 ml = ?

volume = 0.57 × 240 = 136.8 grams

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determine the range of the following graph. PLEASE HELP MEEE ​

Answers

Answer:

-5 ≤ y ≤ 5

Step-by-step explanation:

Hello!

The range is the set of y-values that the graph passes through.

Since the endpoints of the graph are filled in, meaning they include the values they end on, we use the ≥ or ≤ symbols to write the inequality for the range.

The minimum y-value is -5, and the maximum y-value is 5.

The inequality for the range would be -5 ≤ y ≤ 5.

192 students in 4 buses
________ in each bus

Answers

Answer:

48

Step-by-step explanation:

use a calculator

48 for each bus

192/4=48 or 48+48+48+48=192

evaluate the function f(x) = square root of x at given value

Answers

Answer:

2/11

Step-by-step explanation:

since the square root of 4 is 2 and that of 121 is 11

Construct a polynomial function that might have the graph. Yes, you guessed
it, there could be more than one answer! Only give me one of the possibilities.
Leave your answer in factored form.

Answers

There is a 'strike-through' root at -1 and a double root at 2, so the equation is of the form

[tex]y=a(x+1)^3 (x-2)^2[/tex]

Since the y-intercept is 4,

[tex]4=a(0+1)^3(0-2)^2 \implies 4a=4 \implies a=1 \\ \\ \therefore \boxed{y=(x+1)^3 (x-2)^2}[/tex]

3. An object is dropped from a 450-meter tower. The height of the falling object is given
by y(t) = 450-4.9t2, with height y in meters and time t in seconds.
(a) Use the basic derivative rules to compute y' (2).

Answers

Using basic derivative rules the value of y' (2) is 19.6 .

Derivative rules in calculus square measure accustomed realize the derivatives of various operations and differing types of functions like power functions, exponent functions, exponential functions, etc. Some vital spin off rules are:Power Rule ,Sum/Difference Rule ,Product Rule ,Quotient Rule,Chain Rule The power rule of derivatives says d/dx (xⁿ) = nxⁿ⁻¹

We have given a function of t y(t) = 450-4.9t².

On differentiating with respect t , we get

         y'(t) = 2 × 4.9t

          y'(t)  = 9.8 t              ......(1)

Putting t = 2 in equation (1) , we get

      y'(2)  = 9.8 × 2

               = 19.6

Hence , value of y'(2) is 19.6

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There are 8 adults in line for a ride. The line has 4 fewer children than adults. How many people are in line? Explain your answer.

Answers

Answer:

12 People

Step-by-step explanation:

To start you have 8 people for sure. Then you know that there are 4 fewer children. So then you subtract 4 from 8 and get four. Four plus eight is twelve!

The number of people in line will be 12.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

There are 8 adults in line for a ride. The line has 4 fewer children than adults. Then the number of children will be

⇒ 8 - 4

⇒ 4 children

Then the number of people in line will be

⇒ 8 + 4

⇒ 12

The number of people in line will be 12.

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let f(x)= |x-4| +1. write a function g whose graph is a vertical shrink of the graph of f by a factor of 1/3

Answers

The function g(x) is (|x-4| +1)/3.

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.The relationships between two or more items are frequently represented by the points on a graph.The graph is compressed vertically, or shrunk, in the direction of the x-axis. If k > 1, the graph of y = k*f (x) is the graph of f (x) that has had each of its y-coordinates extended vertically by the factor k.The function f(x) is defined as |x-4| +1. To vertically shrink the graph of f(x) by a factor of 3, divide the function by 3.g(x) = f(x)/3g(x) is equal to (|x-4| +1)/3.

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Solve for x

|4x + 7| + 9 = 6

Answers

Decimal form: x=0.75, -1, -2.10610722…
|4x+7|+9=6

Add -9 to both sides.

|4x+7|+9+−9=6+−9|4x+7|=−3

Solve Absolute Value.

|4x+7|=−3

No solutions. (Absolute value cannot be less than 0.)

Skandar

4) Joe took 15 small erasers and placed them on his
rectangular desk What is one way you could describe
how Joe could place the erasers in an array. Then write
the multiplication fact for it.

Answers

Joe could arrange the eraser in an array by placing 5 rows of 3 erasers each. The multiplication fact for this representation in an array is given by 5 × 3 .

A group of numbers or objects that will follow a predetermined pattern are referred to as an array in mathematics.

An array is a systematic arrangement, frequently in rows, columns, or a matrix, that is most frequently used as a visual aid for multiplying and dividing numbers.A matrix is a rectangular array or table with rows and columns of numbers, symbols, or expressions that is used to represent a mathematical object or an attribute of one.

Here Joe has 15 eraser and he placed them on his rectangular bench.

Assuming that the erasers are all uniform , Joe placed them on the bench in an array of 5 rows each containing 3 erasers.

The multiplication fact for this representation in an array is given by

5 × 3 .

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