How to draw 2 number lines that show 0.200 and 1/5 are equivalent

Answers

Answer 1

We create a number line with a range from 0 to 1.0 and divide it into 5 equal segments to demonstrate the equality between 0.200 and 1/5.

What is a Number Line?

The visual representation of numbers on a straight line, either horizontally or vertically, is known as a number line. When numbers are written down on a number line, it is straightforward for humans to compare them and perform basic arithmetic operations on them. One might assume that a number line starts at zero (0). There are only negative numbers to the left of zero and only positive numbers to the right of zero. In other words, as we move to the right on a number line, the value of the numbers increases. This shows that the numbers on the right are more numerous than those on the left.

We create a number line with a range from 0 to 1.0 and divide it into 5 equal segments to demonstrate the equality between 0.200 and 1/5.This line will include points at 0.2, 0.4, 0.6, 0.8, and 1.0.Next, we create a second number line that has five equally spaced segments and ranges from 0 to 5/5.This line will have the following points: 1, 2, 3, 5, 4, and 5/5.These values of 0.200 and 1/5 will be equivalent, as demonstrated by the equal segments.

To know more about the number line, visit:

https://brainly.com/question/13189025

#SPJ9


Related Questions

If PL=10 and PK=8, find the length KN.(circle)

Answers

Answer: take a picture of it please

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

To answer the problem:

PK * PN = PL^2

Let PN = x

8x = 10^2

8x = 100

x = 100/8

x = 12.5

KN = PN - PK

12.5 - 8 = 4.5 would be the length of segment KN.

Which constant should be added to the binomial x^2-14x so that it becomes a perfect square trinomial?

A. 49
B. 36
C. 16
D. 25

Answers

A)49. This will give the equation x^2-14+49 and this factorised is: (x-7)^2

Answer:

A

Step-by-step explanation:

x² - 14x

using the method of completing the square

add ( half the coefficient of the x- term )² to x² - 14x

x² +2(- 7)x + (- 7)²

= x² - 14x + 49

= (x - 7)² ← perfect square

Simplify three eighths times the quantity 1 plus the square root of 49 end quantity squared minus the quantity four minus one end quantity cubed.

−3
−2
21
24

Answers

The given expression:

(3/8)*( 1 + √49)^2 - (4 - 1)^3

Can be simplified to -3.

So we have the equality:

(3/8)*( 1 + √49)^2 - (4 - 1)^3 = -3

Which means that the first option is the correct one.

How to simplify the given expression?

Here we have the expression:

(3/8)*( 1 + √49)^2 - (4 - 1)^3

(I think is something like that)

And we want to simplify it, so first let's simplify the things inside the two parentheses.

The first one is:

1 + √49

We know that 7*7 = 49, then the square root of 49 is 7.

1 + √49 = 1 + 7 = 8

The other one is:

4 - 1 = 3

Replacing that in the expression we get:

(3/8)*( 1 + √49)^2 - (4 - 1)^3 = (3/8)*(8)^2 - (3)^3

Now we can solve the exponents:

8^2 = 8*8 = 64

3^3 = 3*3*3 = 27

Replacing that we get:

(3/8)*64 - 27 = 3*8 - 27 = 24 - 27 = -3

We conclude that the given expression:

(3/8)*( 1 + √49)^2 - (4 - 1)^3

Can be simplified to -3.

If you want to learn more about algebraic expressions:

https://brainly.com/question/4344214

#SPJ1

Round...
1.
Down
3.
24.263 to the nearest tenth.
5.
341.276 to the nearest hundredth.
299.61 to the nearest whole number.
4,123.499 to the nearest whole number.
7. 5.246 to the nearest hundredth.
6.

Answers

Answer:

Hope this helps :)

24.263 = 24.3

341.276 = 341.28

299.61 = 300

4,123.499 = 4,123

5.246 = 5.25

Step-by-step explanation:

When rounding first look at the number next to the place that is told to rounded to (for example, they tell you to round to nearest tenth, then look at the place value next to it). If that number is 1, 2, 3, or 4 then round down, and if that number is 5, 6, 7, 8, or 9 then round up.

Evaluate f(x)=3x+1 over the domain {1,2,3,4}. What is the range of f(x)?

Answers

4x is your answer!! I took the test on k12


Find the missing term(s) of each arithmetic sequence. 2,□, □,□,-0.4,. . . .

Answers

The missing terms are 1.4, 0.8, 0.2

The series is ,

2, __, __, __, -0.4,...

To find the missing terms of the arithmetic sequence , we need to find the the common difference (d).

So formula to find the value of d

[tex]t_{n}[/tex] = a+ (n-1)d

Where [tex]t_{n}[/tex]= nth term of the series

           a = first value of the sequence

           n = number of terms

Here

          [tex]t_{5}[/tex]= -0.4

          a = 2

          n = 5

-0.4= 2 + 4d

d = -0.6

Now we will add -0.6 from the first number of the series, so we get

[tex]t_{2}[/tex] = 2+(-0.6)

   =2-0.6

   = 1.4

[tex]t_{3}[/tex] = 1.4 - 0.6

   = 0.8

[tex]t_{4}[/tex] = 0.8 - 0.6

    0.2

Therefore the Missing terms of the series = 1.4, 0.8, 0.2

To know about the Arithmetic sequence refer to the link given below:

https://brainly.com/question/22972770

#SPJ4


What is the sum of the two rational expressions in simplest form? State any restrictions on the variable.

b. x/x²-4 + 1 / x + 2

Answers

The simplification of difference of the given two rational expressions [tex]\frac{x}{x^{2} -4}+\frac{1}{x+2}[/tex] is equal to 2(x-1)/ (x-2)(x+2).Restriction on the variables is given by x≠ -2,  x≠ 2.

As given in the question,

Given expression is [tex]\frac{x}{x^{2} -4}+\frac{1}{x+2}[/tex]

Simplify the given two rational expressions by factorizing them,

[tex]\frac{x}{x^{2} -4}+\frac{1}{x+2}\\\\= \frac{x}{(x-2)(x+2)}+\frac{1}{x+2}\\\\= \frac{x+x-2}{(x-2)(x+2)}\\\\= \frac{2x-2}{(x-2)(x+2)}\\\\= \frac{2(x-1)}{(x-2)(x+2)}[/tex]

Restriction on the variables is given by  x≠ -2,  x≠2.

Therefore, the  simplification of difference of the given two rational expressions [tex]\frac{x}{x^{2} -4}+\frac{1}{x+2}[/tex] is equal to 2(x-1)/ (x-2)(x+2). Restriction on the variables is given by x≠ -2,  x≠ 2.

Learn more about rational expression here

brainly.com/question/19585906

#SPJ4


What is the sum of each finite series?

c. Σ¹°° n=0 (-1)n

Answers

The sum of the given finite series is -5050

The summation notation is used to expressed a long summation into a single formula.

Expand the sum of the given finite series:

[tex]\sum\limits^{100}_{n=0} {(-1)n} =0-1-2-3-...-100[/tex]

The right side is an arithmetic series. We can ignore the 0 in the first term, so the arithmetic series is:

-1 -2 - 3 -4 - ... - 100

We get:

a(1) = -1

d = -2 - (-1) = -1

a(n) = -100

n = 100

Substitute these parameters into the sum formula:

S(n) = n/2 [a(1) + a(2)]

S(100) = 100/2  [-1 + (-100)]

S(100) = 50 . (-101) = -5050

Learn more about the sum of a series here:

https://brainly.com/question/14383846

#SPJ4


Before it was demolished, the RCA Dome was home to the Indianapolis Colts. The attendance in 2001 was 450,746, and the attendance in 2005 was 457,373 .

c. Will the attendance continue to increase indefinitely? Explain.

Answers

Before the demolition, since the RCA dome was the home to the Indianapolis Colts,   and the attendance in 2001 and 2005 was 450,746, 457,373, the attendance will not continue to increase indefinitely.

Before it was demolished, the RCA Dome was home to the Indianapolis Colts. The attendance in 2001 was 450,746, and attendance in 2005,  the rate of change in attendance 2001 to 2005 was 1657, the attendance will not continue to increase indefinitely until it will continue to increase when the capacity of the stadium was reached, and the building new stadium will help them to accommodate more fans, since if the attendance is high.

To know more about the slope of lines refer to the link  https://brainly.com/question/16180119?referrer=searchResults.

#SPJ4

URGENT PLSS ANSWER!!!



When Jessica woke up in the morning, the temperature was 12 degrees below zero outside. By the afternoon, the temperature rose to 24 degrees outside. What was the difference in temperature from morning to afternoon?

Answers

Step-by-step explanation:

12 degres below 0 is -12°C ..so the temperature rose from -12°C to 24°C

The difference now from Morning to afternoon is

=24°C-(-12°C)

=24°C+12°C

=36°C


a. Write two explicit formulas for arithmetic sequences.

Answers

Explicit formulas for arithmetic sequences are derived from terms in arithmetic sequences. It helps to find each term in arithmetic progression easily. The arithmetic progression is a1, a2, a3, ..., an. where the first term is denoted as 'a', we have a = a1, and the tolerance is denoted as 'd'. The tolerance formula is d = a2 - a1 = a3 - a2 = an - an - 1. The nth term of the arithmetic progression represents the explicit formula for the arithmetic progression.

Explicit formula: an= a + (n − 1) d

Explicit formula: Sn = n/2 [2a+(n-1) d]

Where,

nth term in the arithmetic sequence

a = first term in the arithmetic sequence

d = difference (each term and its term difference) previous term, i.e., d = an-an-1

More problems related to a similar concept are solved in the link below.

https://brainly.com/question/17102965?referrer=searchResults

#SPJ4

Use the graph to interpret and match the appropriate intervals with their descriptions. Drag the tiles to the correct boxes. Not all tiles will be used. (-6.3,10) (4.9,10)(-9,0)(-3,10)(0,4.9)(-9,-3)

Answers

the order of titles according to the correct description boxes is  (0, 4.9), (-3,10), (-9, -3) and then (4.9, 10) respectively.

We first look at the graph, and then, we analyze it, completing the tiles.

From the graph, the function is increasing in two intervals (-10,-9) and (4.9,10). The function is increasing over two interval, (-10, -9) and (4.9,10) , so the corresponding tile is (4.9, 10) for increasing in two intervals.

Between -9 and 4.9 the function is decreasing, so the corresponding tile is (0, 4.9).

An interval where the function is above the x-axis, so between -9 and -3, and then above 10, so the corresponding tile is (-9,-3) for interval over which the difference is positive.

Interval over which the difference is negative is when an interval where the function is below the x-axis, so before -10, and then between -3 and 10. Thus the corresponding tile is (-3,10).

Therefore, we can conclude the following relations

interval in which difference of the number of sales is decreasing→ (0, 4.9)

interval over which difference of the number of sales is negative→ (-3,10)

interval over which difference of the number of sales is positive→  (-9, -3)

interval in which difference of the number of sales is increasing→ (4.9, 10)

To learn more about intervals in graphs

visit; https://brainly.com/question/12165844

#SPJ1


Record your answers on the answer sheet provided by your teacher or on a sheet of paper.
Write an equation in slope intercept form for the line which goes through the points (0,3) and (4,-5)

Answers

An equation in slope intercept form the line which goes through the points (0,3) and (4,-5) is;

⇒ 2x + y = 3

Here,

The line passes through the points (0,3) and (4,-5).

We have to find an equation in slope intercept form the line which goes through the points (0,3) and (4,-5).

What is Equation of line?

The equation of line passes through the point (a, b) with slope m is;

y - b = m (x - a)

Now,

The line passes through the points (0,3) and (4,-5).

Hence, The slope is given as;

[tex]m = \frac{y_{2}-y_{1} }{x_{2}- x_{1} } = \frac{-5-3}{4-0} = -2[/tex]

Therefore, the equation of line is;

y - y₁ = m (x - x₁)

y - 3 = -2 (x - 0)

y - 3 = -2x

2x + y = 3

Hence, An equation in slope intercept form the line which goes through the points (0,3) and (4,-5) is;

⇒ 2x + y = 3

Learn more about the equation of line visit:

https://brainly.com/question/19127674

#SPJ4

3 separate venn diagram questions that I need help with. I would like to see the steps to see how you got the answers, thanks..

Answers: 6) 7 NOTE: I keep getting 14 instead of 7.

9) 63 NOTE: I get 60.

13) a) 36
b) no clue
c) 1

Answers

I'll do problem 6 to get you started

x = number of people training all 3 sports.

This is because all 3 sports are needed for the triathlon

There are 35 swimmers total. 9 of which are also cyclers (but not runners), and there are 13 swimmers who are also runners (but not cyclers)

That leaves 35-9-13-x people who are swimmers only. I'll leave this expression un-simplified so you can see where the numbers are coming from. Take note of where I'm placing this in the venn diagram below.

There are 32 cyclers. Of this group, 9 are swimmers (but not runners) and 11 are runners (but not swimmers). That leaves 32-9-11-x people who are cyclers only.

There are 38 runners. Of this group, 13 are swimmers (but not cyclers) and 11 are cyclers (but not swimmers). That leaves 38-13-11-x people who are runners only.

All of these values are honestly hard to keep track of. This is why a visual approach using a Venn Diagram is recommended. See the diagram below.

The idea is that every value in the diagram then adds up to the 58 total attendees. This helps form the equation needed to solve for x.

Such an equation is possible because each attendee participates in at least one of the sports mentioned. No values will be outside of all three circles at the same time.

(35-9-13-x)+(32-9-11-x)+(38-13-11-x)+(9)+(13)+(x)+(11)=58

-2x+72 = 58

-2x = 58-72

-2x = -14

x = -14/(-2)

x = 7

Answer: There are 7 people training for all three sports

Inequalities and their graphs - draw graph for each inequality Plsss explain and show how to do it!!

Answers

Answer:

the 3 steps

Step-by-step explanation:

1. Rearrange the equation so "y" is on the left and everything else on the right.

2. Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

3. Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).


Solve the inequality.
6 x+9<7 x

Answers

For the given inequality 6 x+9<7 x, x is greater than 9

Inequality is the relation between two expressions linked by the arithmetic expression other than equal sign. Such as less than (<), greater than (>), less than equal to (<=) and greater than equal to (>=).

Let's solve the inequality

6 x+9<7 x

Separate the variables and constants by moving them on the same side. Such as

9<7x-6x

9<x

We want to keep the variable on the left side. Then, just interchange the positions.

x>9

Therefore, it is clear that x is greater than 9.

You can learn more about inequalities from
https://brainly.com/question/24372553
#SPJ4

Esmeralda is saving money to take a trip to Siesta Key, Florida with her friends. Every week, after taking
out the $382 she needs for her weekly expenses, she sets aside the same portion of her paycheck. After
11 weeks, Esmeralda has $506 saved for her trip.
Rart A: Which equation can be used to represent the situation?
O 11p-382=506, where p represents the amount in dollars that Esmeralda earns each week.
11s - 382=506, where s represents the amount in dollars that Esmeralda saves each week.
O 11(p-382) = 506, where p represents the amount in dollars that Esmeralda earns each week.
O 11(s-382) = 506, where s represents the amount in dollars that Esmeralda saves each week.
Part B: Solve the equation. Enter your answer in the space provided.

Answers

Answer:C

Step-by-step explanation:

c

The equation that represents the situation is

11 (p - 382) = 506

where p represents the amount in dollars that Esmeralda earns each week.

Option C is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Weekly expenses = $382

Money saved after 11 weeks = $506

The equation that represents the given above situation:

Let p = amount earned per week.

We can write,

11p - 11 x 382 = 506

Taking 11 as common.

11 (p - 382) = 506

Now,

We can say that,

11 (p - 382) = 506, where p represents the amount in dollars that Esmeralda earns each week.

Thus,

The equation that represents the situation is

11 (p - 382) = 506

where p represents the amount in dollars that Esmeralda earns each week.

Option C is the correct answer.

Learn more about equations here:

https://brainly.com/question/27996921

#SPJ2

Consider the relation R = {(2, 3), (3, 3), (4, 4), (5, 7), (7, 9), (12, 11), (14, 13)}.
What is the smallest element in the domain of R?

Answers

The smallest domain element of the relation is 2

What is the domain of a function?

The domain of the function is the set of input values of the graph

How to determine the smallest domain element of the function?

The relation is given as

R = {(2, 3), (3, 3), (4, 4), (5, 7), (7, 9), (12, 11), (14, 13)}.

Remove the y values to determine the domain

So, we have

Rx = {2, 3, 4, 5, 7, 12, 14}

The smallest element in the above list is 2

So, we have

Smallest Rx = 2

Hence, the smallest domain element of the relation is 2

Read more about domain at:

https://brainly.com/question/2264373

#SPJ1

Help quick please


MODELING REAL LIFE You jump off a diving board
into a pool. You reach a maximum height of 25 feet
after traveling 1 foot horizontally, and hit the water
6 feet from the diving board. The path of your dive
can be modeled by a parabola, where y is the height
(in feet) and x is the horizontal distance traveled (in
feet). What is the height of the diving board?

Answers

Finding the equation of the parabola, it is found that the height of the diving board is of 24 feet.

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

From the maximum height, it is found that the vertex is at (1,25), hence:

h = 1, k = 25.

Hence:

y = a(x - 1)² + 25.

You hit the water 6 feet from the diving board, hence y(6) = 0, meaning that we use it to find a as follows:

0 = a(6 - 1)² + 25

25a = -25.

a = -1.

Hence:

y = -(x - 1)² + 25.

The height of the diving board is y(0), hence:

y = -(0 - 1)² + 25 = -1 + 25 = 24 feet.

More can be learned about the equation of a parabola at https://brainly.com/question/24737967

#SPJ1

PLEASE PLEASE HELP !!!!

Which function represents the equation of the line?

Answers

Step-by-step explanation:

when x increases by 1. y decreases by 7.

e.g. from (-4, 7) to (-3, 0).

the slope is therefore -7/1 = -7.

the slope is always the factor of x in the equation.

y = -7x + b

b is the y-intercept (the y value when x = 0).

let's use e.g. (-3, 0) to get b :

0 = -7×-3 + b = 21 + b

b = - 21

so, the full equation is

y = -7x - 21


Solve each system by substitution. Check your answers. x + 6y = 2 , 5x + 4y = 36

Answers

By substitution, the solution of the system of equations,  x + 6y = 2 and 5x + 4y = 36, is (8 , -1).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Using substitution method, given two linear equations in x and y,

x + 6y = 2     (equation 1)

5x + 4y = 36     (equation 2)

Using the first equation, find the value of one variable, lets say x, in terms of the other.

x + 6y = 2     (equation 1)

x = 2 - 6y

Substitute the value of x to the second equation.

5x + 4y = 36     (equation 2)

5(2 - 6y) + 4y = 36

10 - 30y + 4y = 36

Combining all terms containing the variable y on one side and the constants on the other side of the equality, and solving for y.

10 - 30y + 4y = 36

-30y + 4y = 36 - 10

-26y = 26

y = -1

Substitute the value of y in the equation of x.

x = 2 - 6y

x = 2 - 6(-1)

x = 2 + 6

x = 8

Hence, the solution of the given system of equations is (8 , -1).

To learn more about solving systems of equations: brainly.com/question/25869125

#SPJ4


Nick has put a laptop computer on layaway. The cost of the computer before sales tax is $599. The
layaway fee is 1.20% of the price. Sales tax is 7.25%. How much will Jared have to pay before taxes for his
new computer?
a. $606.19
b. $619.00
c. $479.20
d. $642.43

Answers

The amount that Jared needs before taxes for his new computer is $606.19

What does before-tax price mean?

The before-tax price means the amount that Nick needs to acquire the laptop before considering the sales  tax of 7.25%, but after having factored in the layway fee of 1.2%

before-tax price=cost of computer*(1+layway fee %)

cost of computer=$599

layway fee=1.20%

before-tax price=$599*(1+1.2%)

before-tax price=$ 606.19

Find out more about layway fee on:https://brainly.com/question/17242649

#SPJ1


Write an equation of the line in standard form with the given slope through the given point.slope = (2/5),(6,7)

Answers

The point-slope form be y - 7= 0.4(x - 6) then 0.4x - y = -4.6 be the standard form.

How to write the equation in point-slope form?

Given:

(x1, y1) = (6, 7)

The value of m = 2/5

The point-slope form is given by, y - y1 = m(x - x1)

substitute the values in the above equation, we get

y - 7 = 2/5(x - 6)

simplifying the equation,

y - 7 = 0.4(x - 6)

Therefore, the point-slope form is y - 7= 0.4(x - 6)

How to rewrite the equation in standard form?

Standard form is Ax + By = C

Since, slope-intercept form is y = 0.4x + 4.6

0.4x - y = -4.6

Therefore, 0.4x - y = -4.6 is the standard form.

To learn more about point-slope form, refer:

brainly.com/question/6497976

#SPJ4

what is the solution of this equation? 6x-10=4x+5

Answers

Answer: x=

7.5

Step-by-step explanation:

Answer:7.5

Step-by-step explanation:

move all unknowns to one side by either adding or subtracting from both sides

so, subtract 4x from both sides and you get 2x-10=5

now mode -10 to the other side by adding 10 to both sides. you get 2x=15

divide both sides by 2 to get x by itself

you get x=7.5


Points that are on the same line are collinear. Use the definition of slope to determine whether the given points are collinear.Prove that the quadrilateral with vertices (2,5),(4,8),(7,6) , and (5,3) is a rectangle.

Answers

The quadrilateral with vertices (2 , 5), (4 , 8), (7 , 6), and (5 , 3) is a rectangle.

The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points.

m = (y2 - y1)/(x2 - x1)

In a rectangle, each pair of adjacent side/line is perpendicular with each other, thus, the slope is negative reciprocal of one another. Also, opposite sides are parallel, thus their slopes are equal.

let A = (2 , 5)

B = (4 , 8)

C = (7 , 6)

D = (5 , 3)

slope of AB = slope of CD

(8 - 5)/(4 - 2) = (3 - 6)/(5 - 7)

3/2 = -3/-2

3/2 = 3/2

slope of BC = slope of AD

(6 - 8)/(7 - 4) = (3 - 5)/(5 - 2)

-2/3 = -2/3

slope of AB = negative reciprocal = slope BC

(8 - 5)/(4 - 2) = (6 - 8)/(7 - 4)

3/2 = -2/3

slope of BC = negative reciprocal = slope CD

(6 - 8)/(7 - 4) = (3 - 6)/(5 - 7)

-2/3 = 3/2

slope of CD = negative reciprocal = slope AD

(3 - 6)/(5 - 7) = (3 - 5)/(5 - 2)

3/2 = -2/3

slope of AD = negative reciprocal = slope AB

(3 - 5)/(5 - 2) = (8 - 5)/(4 - 2)

-2/3 = 3/2

Using the slope of the line connecting the vertices, we have proved that the quadrilateral with vertices (2 , 5), (4 , 8), (7 , 6), and (5 , 3) is a rectangle.

Learn more about slope here: https://brainly.com/question/16949303

#SPJ4

Suppose a balloon is filled with 5000 cm³ of helium. It then loses one fourth of its helium each day. How much helium will be left in the balloon at the start of the tenth day?
a. How can you write a sequence of numbers to represent this situation?

Answers

The situation can be represented by a geometric sequence with a(1) = 5000 and ratio or r = 3/4. At the start of the 10th day, the remaining helium volume is 375.42 cm³

Let a(n) be the volume of helium left in the balloon at the nth day.

Day 1: The balloon is filled with 5000 cm³ of helium. We can conclude the volume of  helium in day 1 is:

     a(1) = 5000.

Day 2: The volume of helium loses 1/4 from its initial volume. Hence,

     a(2) = (1 - 1/4) . a(1)

            = 3/4 . 5000 = 3/4 . 5000 = 3750

Day 3: The volume of helium loses 1/4 from its volume in day 2. Hence,

      a(3) = (1 - 1/4) . a(2)

             = 3/4 . 3750 = 2812.5

Continue the process, it will form a geometric sequence with a(1) = 5000 and ratio or r = 3/4.

To find the 10th term, use the nth term formula:

a(n) = a(1) . r^(n-1)

a(10) = 5000. (3/4)¹⁰⁻¹

        = 5000. (3/4)⁹ ≈ 375.42

Hence, at the start of the 10th day, the remaining helium volume is  375.42 cm³

Learn more about sequence here:

https://brainly.com/question/15736659

#SPJ4

Multiply or Divide the fractions. Show all work.

12/25 times 15/18.

12/25 divided by 15/18.

6 and 3/4 times 1 and 2/5

4 and 1/6 divided by 1 and 2/3.

will mark brainliest!!

Answers

The required solution for the given arithmetic problems are,
A) 2/5
B) 72 / 125
C) 6, 3/4, 12/5, and 3/10
D) 4, 1/6 and 6

A) 12/25 times 15/18.
Division of two fractions performed as multiplication of numerator of one fraction with a denominator of another function over a denominator of one function with a numerator of another function.
= 12 / 25  * 15 / 18 = 2 / 5

Similarly

b) 12/25 divided by 15/18.
= [12 / 25 ] / 15 / 18
= 12 / 25 * 18 / 15
= 72 / 125

C) 6 and 3/4 times 1 and 2/5
 6 * 1 = 6
3 / 4 * 1 = 3/4
6 * 2/5 = 12/5
3/4 * 2/5 = 3 / 10

D) 4 and 1/6 divided by 1 and 2/3.
= 4 / 1 = 4
= 1/6  / 1 = 1/6
= 4 / 2/3 = 6
= 1/6 / 2/3 = 1/4

Thus, the required solution for the given arithmetic problems is mentioned above.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ1

Which are the factor pairs of 34?
1,34
2,17
3,11
4,8
5, 29

Answers

Answer: (1, 34) and (2, 17)

Step-by-step explanation:

Step 1: Divide 34 by the smallest prime factor.

34/2 = 17

Step 2: Since 17 itself is a prime number, therefore, it is divisible by 17 only.

17/17 = 1

Step 3: Now further division is not possible. Thus, we will consider 2 and 7 as the prime factors of 34.

1 and 2 are factor pairs

How many times can 2 go into 200

Answers

Answer:

There are actually 20 occurrences of the digit "2" in the numbers {1,2,⋯,100}, though there are 19 numbers in the same range where the digit "2" appears.

Step-by-step explanation:

Hope this will be helpful for you.

When writing an algebraic expression for a word phrase what symbol does the word “quantity” indicate to use. Explain

Answers

The word “quantity” indicate to use a variable

How to determine the expression to use?

The phrase is given as:

quantity

In an algebraic expression, phrases are used to indicate variables

So, anywhere the word is used, it implies that we make use of a variable

Take for instance:

A quantity is more than 2 means x > 2

Hence, the word “quantity” indicate to use a variable

Read more about algebraic expression at

https://brainly.com/question/723406

#SPJ1

Other Questions
9. A large pool, containing 1400 liters of water, is being drained at a rate of7 liters per minute.a. How many liters of water remain in the pool after 1 hour?b. How long until the pool contains 350 liters of water? Identify the number as prime, composite or neither. If the number is composite, write it as the product of prime factors. 1Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The number is composite. Its prime factors written as a product are ( )B. The number is prime.C. The number is neither prime nor composite. Which pharaoh undertook enormous building projects, including Abu Simbel?TutankhamenTutankhamenHatshepsutHatshepsut One day our teacher, Mrs. Lawrence, proclaimed to the class, "I have a dream that one day all of my students will come to class prepared and ready to learn! I have a dream!"AlliterationAllusionAssonanceHyperboleIdiomOnomatopoeiaOxymoronPersonificationSimile Find the sum of the first n terms of the sum that corresponds to the succession Thomas Jeffersons attempts to restrain the federal governments power was ultimately hampered by which of the following?A. The rise of john marshall as chief justiceB. Federalists capturing the SenateC. Napoleon refusing to sell the louisiana territoryD. Constant criticism by john Adam's supporters Pls pls help whoever gets it right gets a crown Plagiarism is only wrong when someone will get hurt.True or False All of the following events are identified as key factors in the U.S. decision to enter the war EXCEPT Find the tenth term of each arithmetic sequence. 2,8,14,20, ........... Characters used: 88/ 15000Part EFrom your observations about the horizontal and vertical component of position, velocity and acceleration, do you think taking"Legs" of the snowboarder as reference point for plotting the motion is a good option for describing the snowboarder'sprojectile motion?BIUX X 15pxCharacters used: 0/ 15000A!!! An outside force, fo, brings two small metal spheres, a and b, at rest from a long distance away to a point where they are:________ Which statement supports the idea that Spanish influence in areas that were once part of New Spain are still present? Can Naomi help Amelia? How?Write your answer in at least one full sentence.Two optional ways you may start your response are:Naomi can help Amelia byNaomi cannot help Amelia because. Y=44 when x=a^3Y is inversely proportional to the cube of x Show us that y=5.5 when x=2a Read these sentences from "The Story of Baba Abdalla." I had not gone far before the demon of ingratitude and envy took possession of my heart. I mourned the loss of my camels, but even more the riches with which they were loaded. "The dervish," said I to myself, "has no need for all this wealth, since he is master of the treasure and may have as much as he pleases."Why is it so easy for Baba Abdalla to change his mind about keeping his promise?A He is greedy and wants more for himself.B The dervish already has more wealth than he has.C He doesn't think the promise is fair.D He misses his camels. What is the sum? Enter your answer as a mixed number in the simplest form. HELLPPPPPPPPPPP1/3+ 5 3/4 how might 231,232, and 233 create a feeling of resentment among the german people against the allies following world war 1e The gestalt principle, which basically says individuals are able to choose only when they become integrated is the principle of _____________. Read thepassage below and answer the question.During the school year, Cassie struggled with several subjects, including performing on math tests, to developgood work habits and studying every night.Which should be changed in the example to make the sentence parallel? The sentence is parallel. iS Make the verb tenses consistent.O Remove the coordinating conjunction.O Insert a hintroductory clause.