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To find the speed of a roller coaster, measure the distance it travels in a certain amount of time, then divide that distance by the amount of time it took to travel.

To find the speed of a roller coaster, start by measuring the distance it travels in a certain amount of time. This can be done by using a measuring tape to measure the total length of the track. Then, use a stopwatch to measure the amount of time it takes for the coaster to complete one full lap of the track. Once you have both of these measurements, divide the total distance traveled by the amount of time it took to travel. This will give you the speed of the roller coaster, given in units such as meters per second.

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Answer:
look at the image and give me brainliest k thx

Step-by-step explanation:

Answer:

Step-by-step explanation:

7,2 is viable

The least integer k such that f(n) is O(nk) for each of the following functions is k = 2.

log (n!) = ln(n!)

First we know ,

[tex]\lim_{n \to \infty} \frac{ln(n!)}{n^{k} } = L[/tex]

where L is a limited number.

then ,

[tex]\lim_{n \to \infty} \frac{ln(n!)}{n^{k} } = L \\\\\lim_{n \to \infty} \frac{ln(n+1)!-ln(n!)}{(n+1)^{k}- n^{k} } = L[/tex]     Stolz's Formula

By solving the upper limit we get k =2

It can make  

[tex]\lim_{n \to \infty} \frac{1}{k} \frac{ln(n+1)}{n^{(k-1)} } _[/tex]

[tex]\lim_{n \to \infty} \frac{1}{2} \frac{ln(n+1)}{n^{} } = 0[/tex]

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain.

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What is the question for this so I can answer it?

The required integration-by-parts formula of given function is 5x (1/6) sin(6x) - (5/36) cos(6x) + C.

To evaluate the integral using integration-by-parts, we need to find two functions u and dv such that their derivative is equal to the integrated, and such that the anti-derivative of dv can be easily found. The integration-by-parts formula states that:

∫ uv = u(v) - ∫ v du

Let's choose u = 5x and dv = cos(6x) dx. Then, du = 5 dx and v = (1/6) sin(6x).

Using the integration-by-parts formula, we get:

∫ 5x cos(6x) dx = 5x (1/6) sin(6x) - ∫ (1/6) sin(6x) 5 dx

The antiderivative of (1/6) sin(6x) 5 is (5/36) cos(6x), so:

∫ 5x cos(6x) dx = 5x (1/6) sin(6x) - (5/36) cos(6x) + C,

where C is the constant of integration.

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a. Fraction of earnings that Mariano put into each piggy bank  is 1/12

b. Mariano earns $28.8

Mariano divides his earnings into a saving account and 3 piggy banks.  

First,  we have to know the fraction that we divide in the 3 piggy banks.

Piggy banks =Total earning-Saving account

Saving account 3/4,  

Total earnings is 1

to rest both terms we have to get the same denominator, so we can say that the total earning is 4/4

Piggy banks =4/4-3/4=( 4-3)/4=1/4

Piggy banks =1/4

Each piggy bank will be 1/3 of that 1/4

1/3 x 1/4=

For fraction multiplication, multiply the numerators and then multiply the denominators to get

1×1/3×4=1/12

This fraction cannot be reduced.

b. Mariano adds $2.40

1/12 is 2.40

We use cross-multiplication

a/b=c/d  replacing   (1/12)/2.40 = 1/ ?

So,  the total earning (?) is 1 x 2.40/ (1/12)

= 2.40 x 12=$28.8

Complete question:

Mariano delivers newspapers. He always puts 3/4 of his weekly earnings in his savings account and then divides the rest equally into 3 piggy banks for spending at the snack shop, the arcade, and the subway.

a. What fraction of his earnings does Mariano put into each piggy bank?

b. If Mariano adds $2.40 to each piggy bank every week, how much does Mariano earn per week delivering papers?

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Mariano always puts 3/4 of his weekly earnings in his savings account and then 1/4 part  divides into 3 piggy banks and in each it has 1/12 .

Let the total income of Mariano who delivers newspaper be x.

He puts 3/4(x) of his total income of his weekly earnings in his savings account.

The remaining income be x/4 and it is divided into 3 piggy banks.

so the income divides into each piggy bank will be 1/3(x/4) = x/12

so, therefore the amount that Mariano puts in each piggy bank is 1/12 part of his weekly income.

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The expression that correctly represents the cost of a bag of dog food to the customer in terms of (m), the original market price is 1.5m

As per the given data Pam’s Pet Supply Palooza buys bags of dog food directly from the manufacturer.

Market Price = m

Got 50% discount off the original market price.

Discount = 50%

Pam then sells each bag of dog food at a price that is 3 times the amount that she paid for it.

Selling Price =3 × (Amount she paid)

If she gets a discount of 50 %, then she pays 50 % (100 - 50% ).

So, the amount she paid is:

Amount = 50 % × Market Price

Amount = [tex]$\frac{50}{100}[/tex] × m

Amount = 0.5 × m

Amount = 0.5 × m

She sells at three times that amount.

So, the selling price is:

Selling Price = 3 × 0.5 m

Selling Price = 1.5 m

Therefore the expression is 1.5 m.

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Answer:

False

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x=6x+9 then subtract 6x to get -1x=9. divide by 1 to get x=-9. this make the equation true. Therefore it is open.

Since Fathi has $1.10 in his printing account, he will have -$59342.28 after printing the 474747-page PDF document.

Let's calculate how much Fathi will spend on printing the 474747-page PDF document.

Since Fathi is printing 2 pages on each side of a sheet, he uses 1/2 sheet of paper per 2 pages. And since each sheet of paper reduces his printing account balance by $0.25, he will spend $0.25 per 2 pages.

So, the cost per page is $0.25 / 2 = $0.125.

Now, we can calculate the total cost of printing the 474747 pages by multiplying the cost per page by the number of pages:

$0.125 * 474747 = $59343.38

Since Fathi has $1.10 in his printing account, he will have $1.10 - $59343.38 = -$59342.28 after printing the 474747-page PDF document.

So, Fathi will not have enough funds in his printing account to print the document and will have to add more money to his account or find another way to print the document.

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Since Fathi has $1.10 in his printing account, he will have -$59342.28 after printing the 474747-page PDF document.

Let's calculate how much Fathi will spend on printing the 474747-page PDF document.

Since Fathi is printing 2 pages on each side of a sheet, he uses 1/2 sheet of paper per 2 pages. And since each sheet of paper reduces his printing account balance by $0.25, he will spend $0.25 per 2 pages.

So, the cost per page is $0.25 / 2 = $0.125.

Now, we can calculate the total cost of printing the 474747 pages by multiplying the cost per page by the number of pages:

$0.125 * 474747 = $59343.38

Since Fathi has $1.10 in his printing account, he will have $1.10 - $59343.38 = -$59342.28 after printing the 474747-page PDF document.

So, Fathi will not have enough funds in his printing account to print the document and will have to add more money to his account or find another way to print the document.

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Answer:

The slope is 5/2 and the y-intercept is -9.

Step-by-step explanation:

You do not have to graph anything for this problem, as the slope and y-intercept are already in the problem.

The general term for the recurrence T(n) = 3T(n/2) + O(n) is O(nlog3). To get the answer, we should plug in k = log3. For the second recurrence, we cannot use the master theorem since it does not cover this case.

To solve this recurrence, we have to use the substitution method, where we guess a solution of the form T(n) = an^k and then prove that this is indeed a solution. This can be done by substituting the guessed solution back in to the recurrence. If the substitution works, then we have solved the recurrence. If not, we can try different values for a and k until the substitution works.

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Answer:

Step-by-step explanation:

The equation of the line in point-slope form can be written as:

y - 0 = -1/4 (x - 1)

where (1, 0) is the point and -1/4 is the slope of the line.

Answer:

48

Step-by-step explanation:

48+96 =144

x * (1+2) = 3x = 144

so x = 48

$13320 is the value of the camper after 5 years.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

m=23680-29600/3-2

=-5920

Now let us find the y intercept

37000=-5920(1)+b

b=37000+5920

b=42920

y=-5920(5)+42920

=-29600+42920

y=13320

Hence, $13320 is the value of the camper after 5 years.

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The time it take to paint this cone if it can be painted at the same rate is 4.21 minutes.

The region that includes the base(s) and the curved portion is referred to as the total surface area. It is the overall area that the object's surface occupies. The total area of a shape with a curved base and surface is equal to the sum of the two areas.

Given:

Base area = 49π in²

h= 8 inches

So, area of a circle, A = πr^2

r = √(A/π).

r = √(49π/π)

r = 7 in.

Now, they doubled cone has a base area

= 2 x 49 in²

= 98 π in²

Then, r = √(98π/π)

r = 7√2 inch

Thus, the time taken

= TSA (R= 7) / TSA (r= 7√2) x2.5

= πR(l+ R) / πr(l+r)

= 14(4√2+7)π/105π x 2.5

= 4.21 min

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The letters in the actual advertisement will be 25.5 inches tall.

The height of the letters in the sketch is ¾ inch. To find the height of the letters on the actual advertisement, we have to multiply ¾ inch by 34.

So, ¾ inch x 34 = 25.5 inches

Therefore, the height of the letters on the building will be 25.5 inches.

It's important to understand the relationship between the sketch and the actual advertisement. In this case, the sketch serves as a visual representation to plan the design, but the size of the lettering must be adjusted to fit the intended space. In this case, the lettering needs to be 34 times larger in the actual advertisement than it is in the sketch.

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The description corresponds to an observational study, which involves gathering data and information to draw conclusions without intervening in the process. Correct answer: letter D.

An experiment would involve manipulating the variables to see the effect of the manipulation. In this case, it would involve changing the caffeine consumption and observing the effect on heart arrhythmias.

In order to better understand the relationship between heart arrhythmias and caffeine consumption, researchers need to consider a variety of factors, including the amount of caffeine consumed, the timing of consumption, and any potential underlying medical conditions that could be influencing the results.

Furthermore, researchers need to ensure that the study population is large enough and diverse enough to accurately reflect the general population. Additionally, researchers need to consider potential confounding variables, such as lifestyle factors, medications, and other dietary components that could be influencing the results.

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The equation of the first and second line is y = 1.5x + 1 and y = 1.5x - 2

An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on

The slope intercept form of a linear equation is:

y = mx + b

where m is the rate of change and b is the y intercept

The first line passes through the point (0, 1) and (-2, -2). Hence:

[tex]y-y_1=\frac{y_1-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-1=\frac{-2-1}{-2-0} (x - 0)\\\\y=1.5x+1[/tex]

The second line passes through the point (0, -2) and (-2, -5). Hence:

[tex]y-y_1=\frac{y_1-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-(-2)=\frac{-5-(-2)}{-2-0} (x - 0)\\\\y=1.5x-2[/tex]

The equation of the line is y = 1.5x + 1 and y = 1.5x - 2

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Answer:

the Answer is x=5

Step-by-step explanation:

so all you do is 2+5 is 7 example say 2+x=4 what is 2+2=4

E = 18.1 h will be a proportional equation for e in terms of h that matches the context.

the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

Given a table of data about total earnings and working hours,

Since its given that the data is proportional thus we can make an equation in terms of earning and working hours variable.

Let "e" be the earnings of Penelope and " h" be the total working hours

Thus,

e/h = 362/20

e = 18.1h

Therefore, a proportional equation for e in terms of h that matches the context will be  E = 18.1h.

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The Rational Root Theorem states that for a polynomial equation with integer coefficients to have a rational solution, that solution must be represented by the a factor of the constant (denoted by the variable p) divided by a factor of the leading coefficient (denoted by the variable q).

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The distance that would be between the cities on a map that has a scale of 3 inches:17 miles is 9 inches.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The two cities are 51 miles away from each other.

3 inches:17 miles

Now,

17 miles = 3 inches

Multiply 3 on both sides.

17 x 3 miles = 3 x 3 inches

51 miles = 9 inches

Thus,

There would be 9 inches between the cities on the map.

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The x and y-intercept for -4x+y = 8 is  (-2,0) and (0, 8)

What is the intercept?

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively. The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y-intercept (0, b).

Here, we have

Given: -4x+y = 8

Let's start with the interception point with the x-axis. Here we know that y = 0, so we can put that in our original expression:

-4x = 8

x = -2

The function intercepts the x-axis at (-2, 0)

Let's continue with the y-axis. Here we know that  x = 0, so let's put that into our expression/function:

y = 8

This gives us an interception point with a y-axis at (0, 8)

Hence, the x and y-intercept for -4x+y = 8 is (-2,0) and (0, 8)

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After differentiation, The expression will be [tex]y = \frac{10}{9-t}[/tex].

Differentiation is one of the two central concepts in calculus, along with integration. Differentiation is a method for finding a function's derivative. Differentiation is a mathematical technique used to calculate the instantaneous rate of change of a function based on one of its variables. Velocity, or how quickly a distance varies in respect to time, is the most common example. Differentiation's opposite is finding an antiderivative.

If x and y are two variables, then dy/dx gives the rate of change of x in relation to y. A function's derivative is represented universally by the equation f'(x) = dy/dx, where y = f(x) is any function.

dy/dx

Now,

Given right expression is[tex]10(t+1)\frac{dy}{dt}-9y=9t[/tex]

[tex]9(y+t)=(10t-10)\frac{dy}{dt}[/tex]

After differentiation: [tex]\frac{s}{dx} (x^{n}) = nx^{n-1}[/tex]

[tex]9(y+t)=10[/tex]

[tex]y = \frac{10}{9-t}[/tex]

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Answer:

i think its 2 but i am not sure

The limit as x approaches 4 of f(x) is equal to -2 * 4^2 + 3 * 4 - 1 = 15.

A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. Example. A function is defined technically as a relation between a set of inputs and a set of potential outputs, where each input is associated to exactly one output. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.

Here,

The limit of f(x) as x approaches 4 is given by the value of f(4).

For x = 4, the definition of f(x) is:

-2x^2 + 3x - 1 = -2 * 4^2 + 3 * 4 - 1 = 15.

Therefore, the limit of f(x) as x approaches 4 is 15.

So, lim x→ 4 f(x) = 15.

The limit of f(x) as x approaches 4 is equivalent to -2 * 42 + 3 * 4 - 1 = 15.

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The area of the region between the curves y=sinx and y=cosx that contains the point (0,0) is 4π.

The area of the region between the curves y=sinx and y=cosx that contains the point (0,0) is the integral of the absolute value of the difference between the two functions. This is expressed mathematically as:

∫|sinx-cosx|dx

Using integration by parts, we can break this integral into two parts:

∫sinx dx - ∫cosx dx

Integrating each of these parts separately and substituting in the limits of integration from 0 to 2π, we get the following:

2π - 0 - (-2π)

Simplifying, this gives us the area of the region as 4π.

Therefore, the area of the region between the curves y=sinx and y=cosx that contains the point (0,0) is 4π.

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(b) Yes, the experiment has a control group.

(c) The treatments can be randomly assigned to the experimental units by randomly selecting 20 containers and assigning each of the four treatments to 5 containers.

a) Treatments: Four different concentrations of fungus mixtures (0 ml/L, 1.25 ml/L, 2.5 ml/L, and 3.75 ml/L).

Experimental units: 20 individual containers with a group of insects.

Response variable: Number of insects that are still alive in each container one week after spraying.

(b) A control group is used to compare the results of the treatment group to a group that is not exposed to the treatment.

In this experiment, the control group can be the group of insects that are not exposed to any of the fungus mixtures.

c) The treatments can be randomly assigned to the experimental units by randomly selecting 20 containers and assigning each of the four treatments to 5 containers.

This way, each treatment has the same number of units and the assignment of treatments to units is random, which reduces the risk of bias in the experiment.

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The container that has the following dimensions 120cm×300cm×430cm can hold 15480 liters of liquid

It is the space occupied by a body, it is calculated by multiplying its dimensions, for example: length, height and width.

Calculating the volume of the container we get the liter of liquid it can hold in cubic centimeters :

v = h*l*w

v = 120cm×300cm×430cm

v = 15480000 cubic centimeters

Converting the volume from cubic centimeters to liter we have:

1 liter is equal to 1000 cubic centimeters

x = 15480000 cubic centimeters * (1 liter / 1000 cubic centimeters)

x = 15480 liters

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Answer:

618.4

Step-by-step explanation:

Based on the given conditions, formulate: 773 x (1 - 20%)

Calculate the sum or difference: 773 × 0.8

Calculate the product or quotient: 618.4

Answer: 618.4