A candle's height is modeled by the equation y=-5x+30, where x is the hours spent burning, and y is the height of the candle in centimeters. Interpret the slope, using a complete sentence. Please explain how you got the answer. I will mark you brainliest!!

Answers

Answer 1

The number -5 represents the rate of decreasing 5 centimeters per hour.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A candle's height is modeled by the equation y = -5x + 30, where x is the hours spent burning, and y is the height of the candle in centimeters.

The number -5 represents the rate of decreasing 5 centimeters per hour and 30 represents the initial length of the candle.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ1


Related Questions

A construction company is repaving a damaged road. So far, they have repaved a total of 55,721 centimeters of the road. Today, they repaved 34,066 centimeters of the road. How many centimeters of the road had they repaved before today?

Answers

Answer:

21655

Step-by-step explanation:

minus the values

The duration of shoppers' time in BrowseWorld's new retail outlets is normally distributed with a mean of 41.8 minutes and a standard deviation of 17.3 minutes. How long must a visit be to put a shopper in the longest 20 percent

Answers

A visit must be of at least 56.33 minutes to put a shopper in the longest 20 percent.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula. In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

How long must a visit be to put a shopper in the longest 20 percent?

Here [tex]\mu=41.8 , \sigma=17.3[/tex]

The 100-20=80th percentile, which is X when Z has p-value of 0.8, so Z=0.84

[tex]Z=\frac{X-\mu}{\sigma}[/tex]

[tex]0.84=\frac{X-41.8}{17.3}[/tex]

14.532=X-41.8

X=14.532+41.8

X=56.33

A visit must be of at least 56.33 minutes to put a shopper in the longest 20 percent.

Learn more about Normal Probability Distribution here:

https://brainly.com/question/24245979

#SPJ4

What is the approximate side length of the square? 3.0 units 3.5 units 4.2 units 4.9 units

Answers

Answer:

(っ◔◡◔)っ ♥ the answer is C ♥

Step-by-step explanation:

Can 1775 dollars buy 2 large balloons and 16 small balloons 1 large balloon = 300 cubic feet 1 small balloon - 40 cubic feet helium costs $1.60 per cubic foot

Answers

No, 1775 dollars cannot buy 2 large balloons and 16 small balloons if helium costs $1.60 per cubic foot.

Calculating the Costs of Balloons

It is given that,

Helium costs $1.60 per cubic foot.

Volume of one large balloon = 300 cubic feet

Thus, the price of one large balloon = $1.60 × 300

= $480

Volume of one small balloon = 40 cubic feet

Thus, the price of one small balloon = $1.60 × 40

= $64

How much buying 2 large and 16 small balloons costs?

So, as calculated above,

One large balloon costs $480, and one small balloon costs $64

Therefore, the cost of two large balloons = $480 × 2

= $960

Cost of 16 small balloons = $64 × 16

= $1024

Total cost of balloons = $960 + $ 1024

= $1984

Since, $1984>$1775,

Therefore, $1775 cannot buy all those balloons if helium costs $1.60 per cubic foot.

Learn more about costs here:

https://brainly.com/question/17120857

#SPJ4

Read the excerpt from Chapter 3 of Wheels of Change . In 1881, as women in the United States continued to struggle with hoops and corsets and other fashion architecture, their counterparts in England formed the Rational Dress Society. This society called for more reasonable clothing solutions, including limiting the weight of a woman's undergarments to seven pounds. Why was the Rational Dress Society formed? to advocate for more functional cycling and athletic gear for women to push for more beautiful, intricate styles of clothing for women to encourage English women to dress differently than American women to promote safer, more comfortable styles of dress for women

Answers

Step-by-step explanation:

Chapter 3 of Wheels of Change .

But the bicycle craze had a more lasting impact on women’s clothing than just the use of bloomers. Thanks in large part to cycling, the innovation of rational dress reformers were starting to take effect by the end of the 1890s. Corsets were on their way out, dresses were getting shorter, and women no longer wore the heavy, bulky undergarments that gave them round, unnatural shapes. These changes went a long way toward unburdening women and setting the stage for them to be healthier and more active in the coming century.

Based on the excerpt, women in the 1890s became more independent and their lives improved as a result of

a rise in the popularity of bicycles.

a rise in the popularity of corsets.

cycling becoming less socially acceptable.

clothing becoming more restrictive.

Answer:

to promote safer, more comfortable styles of dress for women

Step-by-step explanation:

to promote safer, more comfortable styles of dress for women

On a coordinate plane, shapes show the size of swings, a slide, a merry-go-round, and a sandbox. The sandbox has points (0, 6), (8, 12), (12, 6), and (8, 0).

A sandbox is shaped like a kite. Each unit on the coordinate plane represents one foot. A planner would like to replace the wooden border around the sandbox. How many feet of wood does he need? Round up to the nearest whole number.

feet

Answers

The number of feet of wood that is needed is given as 35 feet of wood.

How to solve for the wood

We have to do this through the use of pythagoras theorem

a² = b² + c²

8² + 6²

a = √100

= 10

4² + 6²

= 52

a = √52

Then we would have

10 + 10 + √52 + √52

= 34.42

This is approximately 35 feet

The feet of wood that is needed is given as 35 feet

Read more on coordinate plane here

https://brainly.com/question/16992520?referrer=searchResults

#SPJ1

Answer:

The number of feet of wood that is needed is given as 35 feet of wood

Step-by-step explanation:

I just did it on E2020 and got it right

Find the area of the shaded regions.​

Answers

The area of the shaded circle is given as follows: 84.82 cm².

What is the area of a circle?

The area of a circle of radius r is given by pi multiplied by the radius squared, as given by the formula presented next:

[tex]A = \pi r^2[/tex]

In this problem, we have that the important data is given in the bullet-points as follows:

The radius is of r = 6 cm.The shaded area is 75% of the circle.

Hence the shaded area in cm² can be found a applying the formula given at the beginning of this problem, as is presented below:

[tex]A = 0.75\pi \times 6^2 = 84.82[/tex]

The multiplication by 0.75 happened because as stated in the bullet point, the shaded area corresponds to only 75% of the entire circle.

More can be learned about the area of a circle at https://brainly.com/question/17326298

#SPJ1

Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.

Answers

The true statement for h regarding the function is  that C. h(2) = 16.

How to illustrate the function?

From the information given, the function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25.

This illustrates that the range or h has to be less than or equal to 25.

The option that correctly fits this is C.

Learn more about functions on:

brainly.com/question/25638609

#SPJ1

This system of equations has been placed in a matrix:

y = 700x + 200
y = 5,000 − 75x

Complete the matrix by filling in the missing numbers.

Answers

Answer:

Hello,

Step-by-step explanation:

here is the answer in a picture.

Determine the intercepts of the line. Do not round your answers. 7x-5=4y-6
x intercept: (_),(_)
y intercept: (_),(_)
Please help!

Answers

The intercepts are x intercept: (-1/7,0) and y intercept: (0,1/4)

How to determine the intercepts?

The function is given as:

7x-5=4y-6

Set y = 0 to determine the x-intercept

7x - 5 = -6

Add 5 to both sides

7x = -1

Divide by 7

x = -1/7

Set x = 0 to determine the y-intercept

- 5 = 4y - 6

Add 6 to both sides

4y = 1

Divide by 4

y = 1/4

Hence, the intercepts are x intercept: (-1/7,0) and y intercept: (0,1/4)

Read more about intercepts at:

https://brainly.com/question/14180189

#SPJ1

Suppose that you are interested in determining the average height of a person in a large city. You begin by collecting the heights of a random sample of 256 people from the city. The average height of your sample is 64 inches, while the standard deviation of the heights in your sample is 4 inches.The standard error of your estimate of the average height in the city is .

Answers

The standard error of the estimate of average height in the city is 0.25.

Given average height 64 inches, sample mean and sample standard deviation of 4 inches.

We have to determine the standard error of the estimate of the average height in the city.

Standard error is the error which is predicted before research to happen in research. It is calculated by dividing the standard deviation of the sample by the square root of the sample size.

n=256

μ=mean

s = sample standard deviation

Standard error=s/[tex]\sqrt{n}[/tex]

=4/[tex]\sqrt{256}[/tex]

=4/16

=0.25

Hence the standard error of the estimate of the average height is 0.25.

Learn more about standard error at https://brainly.com/question/1191244

#SPJ4

If I start with the number 7 and count by 4s, the following sequence is obtained: 7, 11, 15, 19, 23, and so forth. A new sequence is formed when I start with a different number and count by a different number. Suppose the 2nd number of the new sequence is 8 and the 5th number is 17. What is the 10th number of the new sequence

Answers

Answer:

a₁₀ = 32

Step-by-step explanation:

the sequence is arithmetic since there is a count on , a common difference

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₂ = 8 and a₅ = 17 , then

a₁ + d = 8 → (1)

a₁ + 4d = 17 → (2)

subtract (1) from (2) term by term to eliminate a₁

3d = 9 ( divide both sides by 3 )

d = 3

substitute d = 3 into (1)

a₁ + 3 = 8 ( subtract 3 from both sides )

a₁ = 5

Then

a₁₀ = 5 + (9 × 3) = 5 + 27 = 32

Find the probability of winning a lottery by selecting the correct six integers, where the order in which these inte

Answers

The probability of winning a lottery by selecting the correct six integers, are

[tex]\begin{aligned}&(a) 1.68 \times 10^{-6} \\&(b) 5.13 \times 10^{-7} \\& (c) 1.91 \times 10^{-7} \\&(d)8.15 \times 10^{-8}\end{aligned}[/tex]

What is binomial distribution?

The binomial distribution is a type of probability distribution that expresses the probability that, given a certain set of characteristics or assumptions, a value would take one of two distinct values.

Part (a); positive integers not exceeding 30.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the other twenty-four.

[tex]\frac{\left(\begin{array}{c}6 \\6\end{array}\right)\left(\begin{array}{c}24 \\0\end{array}\right)}{\left(\begin{array}{c}30 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}30 \\6\end{array}\right)}=1.68 \times 10^{-6}[/tex]

Part (b); positive integers not exceeding 36.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the other thirty.

[tex]\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}30 \\0\end{array}\right)}{\left(\begin{array}{c}36 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}36 \\6\end{array}\right)}=5.13 \times 10^{-7}[/tex]

Part (c); positive integers not exceeding 42.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the 36 other integers.

[tex]\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}36 \\0\end{array}\right)}{\left(\begin{array}{c}42 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}42 \\6\end{array}\right)}=1.91 \times 10^{-7}[/tex]

Part (d); positive integers not exceeding 48.

To calculate the probability, use binomial coefficients. Choose six of the six accurate integers and none of the other 42.

[tex]\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}42 \\0\end{array}\right)}{\left(\begin{array}{c}48 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}48 \\6\end{array}\right)}=8.15 \times 10^{-8}[/tex]

To know more about binomial probability, here

https://brainly.com/question/9325204

#SPJ4

The complete question is-

Find the probability of winning a lottery by selecting the correct six integers, where the order in which these integers are selected does not matter, from the positive integers not exceeding a) 30. b) 36. c) 42. d) 48.

Can anyone solve this?

Answers

Answer:

BT = 18, DA = 6

Step-by-step explanation:

- EBT and SDA are similar triangles

- EBT has a perimeter of 63

- SDA has a perimeter of 21

- BT = 6x

- DA = x+3

We know that EBT has side lengths that are three times bigger than the side lengths of SDA since 63 = 21 x 3.

so

6x is equal to 3(x+3).

6x = 3x + 9

3x = 9

x = 3

Now we know that:

BT = 18

and

DA = 6

Write two expressions to show the total area of advertisement space on one page.

Answers

The area covered by the advertisement on the page is [tex]ab \ unit^2[/tex].

What is the definition of area of a rectangle?

The area of a rectangle covers is the space it takes up inside the boundaries of its four sides. The dimensions of a rectangle determine its area. In general, the area of a rectangle is equal to the product of its length and breadth of the rectangle.

The formula of area of rectangle is [tex]length \times breadth[/tex] [tex]unit^2[/tex]

let the given page represents a rectangle.

We take the length of the advertisement is [tex]a[/tex] unit and breadth of the advertisement is [tex]b[/tex] unit.

The area of the advertisement [tex]=a \times b \ unit^2[/tex]

                                                   [tex]=ab \ unit^2[/tex]

Therefore, the area covered by the advertisement on the page is [tex]ab \ unit^2[/tex]

To learn more about area of a rectangle from the below link

https://brainly.com/question/25292087

#SPJ4

Identify the factors of 6ab − 8a 21b − 28. (2a 4)(3b − 7) (2a − 4)(3b 7) (2a 7)(3b − 4) (2a − 7)(3b 4)

Answers

Answer: ) (2a+7)(3b- 4)

Step-by-step explanation:

Can someone please help me on this

Answers

Answer:

? = 38°

Step-by-step explanation:

We can use the property of sine to find the missing angle value.

sin (angle) = opposite / hypotenuse

sin (?) = 16 / 26                                  <----- Insert values

? = sin⁻¹(16 / 26)                                 <----- Rearrange

? = 37.97...                                         <----- Solve

? = 38°                                               <----- Round


What is the distance between the points (4,3) and (1,-1) on the coordinate
plane?
A. 10 units
B. 50 units
C. 5 units
D. 25 units

Answers

Answer:

The distance between the points (4,3) and (1,-1) is C. 5 units.

Step-by-step explanation:

Answer
C.
(5 Units)

Explanation
Distance formula: square root of (x2-x1)^2+ (y2-y1)^2
(4-1)^2+ (3--1)^2
3^2 + 4^2
9 + 16
25
square root of 25 is 5

Emily can read 30 pages in 45 minutes. At this rate, how many pages
will she read in 3 hours?

Answers

She can read 120 pages
60x3=180(Number of minutes in 3 hours)
180/45=4
4x30=120

11y^2-xy dxUse the method for solving homogeneous equations to solve the following differential equation.

Answers

The solution to the homogenous differential equation, (11y² - xy)dx + x²dy = 0, is [tex]y = \frac{x}{11 ln (x) + C}[/tex].

A homogeneous differential equation has a homogeneous function as one of its components, if f(λx, λy) = λⁿf(x, y), for any non-zero constant λ, the function is said to be homogenous. The homogeneous differential equation's generic form is of the type f(x, y).dy + g(x, y).dx = 0. The degree of the homogeneous differential equation is the same for the equation's variables x and y.

In the question, we are asked to solve the homogeneous differential equation, (11y² - xy)dx + x²dy = 0.

The given equation can be solved as follows:

Grouping by differentials, gives us: x²dy = (xy - 11y²)dx.We now substitute, u = yx, making y = ux, or, dy = u.dx + x.du.Making the substitutions, we get: x²(u.dx + x.du) = (u - 11u²)x²dx.Expanding the parentheses, we get: ux².dx + x³.du = ux².dx - 11u²x².dx.Reducing ux².dx, we get: x³.du = -11u²x².dx.Dividing by x³ and u², we get du/u² = -11/x.Now, we integrate both sides of the equation: [tex]\int \frac{1}{u^2}du = \int -\frac{11}{x}dx[/tex]Calculating the resulting integrals, we get: -1/u = C - 11 ln(x).Undoing the substitution, u = y/x, we get: -x/y = C - 11 ln(x)The final solution is: [tex]y = \frac{x}{11 ln (x) + C}[/tex]

Thus, the solution to the homogenous differential equation, (11y² - xy)dx + x²dy = 0, is [tex]y = \frac{x}{11 ln (x) + C}[/tex].

The provided question is incomplete. The complete question is:

"Use the method for solving homogenous equations to solve the following differential equation.

(11y² - xy)dx + x²dy = 0".

Learn more about solving homogenous differential equation at

https://brainly.com/question/13512633

#SPJ1

What is 125x + 64y¹2 written as a sum of cubes?
O (25x3)3 + (44)3
O (5x³)3 + (164)³
O (25x³)3 + (8y4)3
(5x3)3 + (4y4)3

Answers

quick answer: (5x3)3 + (4y4)3

please hit the like button if it is correct :D

Complete the recursive formula of the geometric sequence -0.25\,,-2\,,-16\,,-128,...−0.25,−2,−16,−128,...minus, 0, point, 25, comma, minus, 2, comma, minus, 16, comma, minus, 128, comma, point, point, point.
b(1)=b(1)=b, left parenthesis, 1, right parenthesis, equals
b(n)=b(n-1)\cdotb(n)=b(n−1)⋅b, left parenthesis, n, right parenthesis, equals, b, left parenthesis, n, minus, 1, right parenthesis, dot

Answers

The recursive formula of the geometric sequence is [tex]b(1) = -0.25[/tex], [tex]b(n) = b(n-1)\cdot 8[/tex]

How to determine the recursive formula?

The sequence is given as:

[tex]-0.25\,,-2\,,-16\,,-128,..[/tex]

The first term of the above sequence is

[tex]b(1) = -0.25[/tex]

Calculate the common ratio using

r = b(2)/b(1)

So, we have:

r = -2/-0.25

Evaluate

r = 8

So, we have:

[tex]b(n) = b(n-1)\cdot 8[/tex]

Hence, the recursive formula of the geometric sequence is [tex]b(1) = -0.25[/tex], [tex]b(n) = b(n-1)\cdot 8[/tex]

Read more about geometric sequence at:

https://brainly.com/question/1509142

#SPJ1

Complete question

Complete the recursive formula of the geometric sequence

[tex]-0.25\,,-2\,,-16\,,-128,..[/tex]

[tex]b(1) =[/tex]

[tex]b(n) = b(n-1)\cdot[/tex]

is perpendicular to and passes through point C(5, 12).
If the coordinates of A and B are (-10, -3) and (7, 14), respectively, the x-intercept of is
(12, 0)
. The point
lies on .

Answers

If CD is perpendicular on AB then the x intercept of CD is (17,0).

Given that CD is perpendicular on AB and passes through C(5,12) and the coordinates of A and B are  (-10,-3), (7,14).

When two lines are perpendicular on other line then the product of their slopes is equal to -1.

It is given that CD is perpendicular on AB. So we need to first calculate the slope of AB.

Slope=[tex](y_{2} -y_{1} /x_{2} -x_{1} )[/tex]

Slope of AB=(14+3/7+10)

=(17/17)

=1

According to rule product of slopes of AB and CD should be -1.

So the slope of CD will be -1.

Now we have to form equation of CD from slope -1 and point (5,12).

y-12=-1(x-5)

y-12=-x+5

x+y-17=0

We have to find out x intercept.

We know that x intercept is a point where the line touches x axis. So here the value of y =0.

x+y-17=0

put the value of y=0.

x+0-17=0

x=17

Point will be (17,0)

Hence the x intercept of CD will be (17,0).

Learn more about intercepts at https://brainly.com/question/24212383

#SPJ1

Question is incomplete as it should include in its beginning that CD is perpendicular on AB.

Is the point (−2, 10) on the circle with radius 5 and center (2, 13)?

Answers

Answer:

  yes

Step-by-step explanation:

The point can be demonstrated to lie on the circle by plotting both on a graph. It can also be shown to lie on the circle by showing the distance from center is equal to the radius.

Graph

The attachment shows a graph of the circle. Its equation is ...

  (x -h)² +(y -k)² = r² . . . . . . for center (h, k) and radius r

We have (h, k) = (2, 13) and r = 5, so the equation is ...

  (x -2)² +(y -13)² = 25 . . . . graphed equation

The point in question is also graphed, and is shown to lie on the circle.

Distance

If the given point satisfies the circle's equation, it lies on the circle.

For (x, y) = (-2, 10), we find ...

  (-2 -2)² +(10 -13)² = (-4)² +(-3)² = 16 +9 = 25 . . . . . the equation is satisfied

Which of the following is a geometric sequence?

Answers

Answer:

A

Step-by-step explanation:

Geometric sequence is when, during each successive number, a constant is being multiplied. In answer choice A, each number is getting multiplied by 3, so it is a geometric sequence.

0 divided by 0 is? 45 points for who answer its correct not for a homework

Answers

Answer:

Undefined

Step-by-step explanation:

No multiplicative inverse exists for 0

Answer:

undefined

Step-by-step explanation:

a single value can't be assigned to a fraction where the denominator is 0 so the value remains undefined.

A boat traveled north for 28 miles, then turned x° southwest and traveled for 25 miles before stopping. When it stopped, the boat was 18 miles from its starting point.

A triangle shows the course of a boat. Starting at the dock, it travels 18 miles to the left, then 25 miles up and to the right, and then 28 miles down and back to the dock. The angle between 25 miles and 28 miles is x degrees.

Law of cosines:

By how many degrees did the direction of the boat change when it made its first turn? Round to the nearest degree.
30 degrees
39 degrees
46 degrees

Answers

The number of degrees that the direction of the boat change when it made its first turn is 39°.

How to calculate the value?

From the information given, we would use the cosine function to solve the information.

This will be:

18² = 28² + 25² - 2(28)(25)(cos x)

324 = 784 + 625 - 1400cosx

x = 39.19

Therefore, the value is 39°.

Learn more about degree on:

brainly.com/question/11084131

#SPJ1

The formula d=1/2n+26 relates the nozzles pressure n (in pounds per square inch) of a free hose and the maximum horizontal distance the water reaches d (in feet). How much pressure is needed to reach a fire 50 feet away?

Answers

The pounds of pressure needed to reach a fire 50 feet away is 48 pounds

Formula

d = 1/2n + 26

where

n = nozzle pressure in pounds per square feetd = distance the water reaches

If d = 50 feet

d = 1/2n + 26

50 = 1/2n + 26

50 - 26 = 1/2n

24 = 1/2n

n = 24 ÷ 1/2

n = 48 pounds

Learn more about formula:

https://brainly.com/question/2005046

#SPJ1

Explain how to solve 4^(x + 3) = 7 (x+3 being an exponent) using the change of base formula. Include the solution for x in your answer—round your answer to the nearest thousandth.

Answers

Using natural logarithms properties, we will see that:

x = -1.596

How to solve the equation?

Here we can use the property:

[tex]ln(a^b) = b*ln(a)[/tex]

Now we have the equation:

[tex]4^{x + 3 }= 7[/tex]

If we apply the natural logarithm in both sides, we get:

[tex]ln(4^{x + 3 })= ln(7)\\\\(x + 3)*ln(4) = ln(7)\\\\x + 3 = ln(7)/ln(4)\\\\x = ln(7)/ln(4) - 3 = log_4(7) - 3 = -1.596[/tex]

If you want to learn more about natural logarithms:

https://brainly.com/question/13473114

#SPJ1

3. The scores on a test are normally distributed, with a mean of 82 and standard deviation of 8. What percent of scores are less than 90? Explain your answer.

Answers

Answer:

8 ×10=80

Step-by-step explanation:

because 1 time

8

10 times

add so

90

less

so that's it

80

Other Questions
Nobody ever buys saltIt's always just there by defaultHow does it get there, no clueI've never bought it, have you?I've had a whole lot of people in my c ra p py lifeWho've abandoned and ditched me and left me with strifeBut I know that no matter how bad the assaultThat somewhere nearby me there'll probably be salt Plz help Im stuck on this question Explain the first steps to factoring when the leading coefficient is 1.a) List the factors of a that add up to b.b) Split the c term to factor by grouping.c) Find the factors of c that add up to b.d) Multiply b and c, then find the factors. An Olympic-size swimming pool is used in the Olympic Games, where the race course is 50 meters (164.0 ft) in length. "In swimming a lap is the same as a length. By definition, a lap means a complete trip around a race track, in swimming, the pool is the race track. Therefore if you swim from one end to the other, youve completed the track and thus youve completed one lap or one length." (Source: What Is A Lap In Swimming? Lap Vs Length) Write the function meters_to_laps() that takes a number of meters as an argument and returns the number of laps. Complete the program to output the number of laps. Output each floating-point value with two digits after the decimal point, which can be achieved as follows: print('{:.2f}'.format(your_value))Ex: If the input is: 150 the output is: 3.00 Ex: If the input is: 80 the output is: 1.60 Your program must define and call the following function: def meters_to_laps (length) Read the following poem "Storm" by H. D.:You crash over the trees,you crack the live branch-the branch is white,the green crushed,each leaf is rent like split wood.You burden the treeswith black drops,you swirl and crash-you have broken off a weighted leafin the wind,it is hurled out,whirls up and sinks,a green stone.What aspect of this poem most clearly marks it as a work of Modernism?O A. It uses a second-person point of view.B. It focuses on the natural world,C. It contains a clear rhyme scheme.D. It focuses on a single image. EASY WORK! Yes its easy for other people but not me for people asking.Also click on the photo. During glycolysis, the molecule glucose is broken down into pyruvate. What type of reaction is this? HELP PLEEEASE DUE TODAY ALL MY POINTS if ABC and XYZ are similar which must be true Why do people living in fooddeserts hope grocery stores will bebuilt in their neighborhoods? Identify these foil solutions by using the screenshots below! Find the tangent of the larger acute angle in a right triangle with side lengths 3, 4, and 5. Write your answer as a fraction Completa las frases con la forma correcta del verbo entre parntesis.1. Yo no (saber) qu comer hoy. Voy a (leer) el men.2. Los estudiantes (comprender) al profesor.3. A: Marta, qu (ver) en el men?B: (ver) muchas comidas fantsticas.4. A: Javier, qu (hacer) el sbado?B: (ir) a un concierto en el Palacio de Bellas Artes.5. Pilar y yo siempre (hacer) planes para el viernes.6. A: Elena, qu (ir) a hacer Jorge y t hoy?B: (ir) a ir al teatro.7. Yo siempre (hacer) la comida para mi familia.8. Los estudiantes (leer) muchos libros en la clase de ingls. Solve. Use paper to show your work. Enter your answer in the box.4\frac{5}{6}-2\frac{1}{2}=4 65 2 21 = 44 This model shows how lake effect snow forms. Which statement best describes how the Great Lakes impact lake effect snow in the Great Lakes basin? A) They are a constant source of moisture that cause localized heavy snow during winter months. B) They freeze in the winter, which keeps the region's temperature low and causes heavy snowfall. C) They freeze in the winter, which causes flooding in the Great Lakes Basin when they thaw in spring. D) They evaporate in the summer, but fill up again in spring as lake effect snow melts in the Great Lakes Basin. A boat at rest on the ocean moves up and down as water moves past it. What can be concluded about the nature of the water particles in the waves from rl this observation Solve 5x=45 using the opposite operation How to make 0.01 Molar solution in 30 ml of water if anyone has course hero could you send me the Gizmo Fan Cart Physics? 3. A process that occurs resulting in a organism becoming more complex structurally. Select all the expressions equivalent to 2.8.A. 6.8B. 2.8 + 2.8 + 2.8 + 2.8 C. 11.2D 2.8 + 4E. 2.8 2.8 2.8 2.8F. 61.4656G. 2.8 4