25 x 10^9 in standard form

Answer:

Step-by-step explanation:

The method for finding the limit of a function on a calculator depends on the specific calculator you are using. Here are the general steps for finding the limit of a function using a graphing calculator:

Enter the function: Most graphing calculators have a function editor where you can enter the function you want to find the limit of.

Set the limit: To find the limit of the function at a particular point, you need to specify the value at which you want to find the limit. This is done by entering the limit expression, for example: limit(f(x), x, a) where f(x) is the function, x is the variable, and a is the value at which you want to find the limit.

Evaluate the limit: After entering the limit expression, you can evaluate it by pressing the "enter" or "=" button. The calculator will then display the limit of the function at the specified value.

It's important to note that a graphing calculator can only estimate the limit of a function based on the accuracy of the graph, so the result may not be exact. Additionally, some functions may have limits that cannot be evaluated using a calculator. In these cases, you may need to use analytical methods to determine the limit.

The company needs to adjust the bottling procedures since p < α i.e., 0.0117 < 0.10. Using z-score test statistics, the required value is obtained.

The mean of a dataset is the sum of all values divided by the total number of values. It's the most commonly used measure of central tendency and is often referred to as the “average.”

Deviation is a measure of difference between the observed value of a variable and some other value, often that variable's mean.

How to calculate the z-score?

The z-score is calculated by

z = ( - μ)/(σ/√n)

Where :- sample mean; μ - population mean; σ - standard deviation; n - sample size.

It is given that,

Population mean μ = 12 oz

Sample size n = 40

Sample mean  = 12.2 oz

Standard deviation σ = 0.7 oz

Constructing the test hypothesis as below:

H0: μ = 12 oz

Ha: μ < 12 oz (as close as possible)

Then, the z-score is

z = (12.2 - 12)/(0.7/√40)

 = 0.2/0.1106

 = 1.808

Thus, the required p-value for the obtained test score is p = 0.0117 from the distribution table.

Since p(0.0117) < 0.10(significance level), the null hypothesis is rejected.

Therefore, the company needs to adjust the bottling procedures since the mean volume of all beverages differs from 12 oz.

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The differentials of the given functions are:

dy/dt = (1/2)√(3t) sec^2(√(3t)) dt

dy/dv = -v/2 + v

To find the differential of the function y = tan(sqrt(3t)), we can use the chain rule. Let u = sqrt(3t). Applying the chain rule, we have dy/dt = dy/du * du/dt.

First, we find dy/du by taking the derivative of tan(u), which is sec^2(u). Then, we find du/dt by taking the derivative of sqrt(3t), which is (1/2)√(3t). Multiplying these two derivatives together, we get dy/dt = (1/2)√(3t) sec^2(√(3t)) dt.

To find the differential of the function y = 4 - v^2/4 + v^2, we need to take the derivative with respect to v. The first term, 4, does not depend on v, so its derivative is 0.

For the second term, -(v^2/4), we use the power rule for differentiation. The derivative of v^2 is 2v, and dividing by 4 gives -(v/2).

For the third term, v^2, the derivative is 2v.

Combining these derivatives, we get dy/dv = -v/2 + v.

The differentials of the given functions have been calculated as dy/dt = (1/2)√(3t) sec^2(√(3t)) dt and dy/dv = -v/2 + v. These differentials represent the rate of change of the functions with respect to the respective variables.

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The differential of y = tan(sqrt(3t)) is dy/dt = (1/2)(3t)^(-1/2)(3)(sec^2(sqrt(3t))). The differential of y = 4 - v^2/4 + v^2 is dy/dv = 3v/2.

To find the differential of each function, we will differentiate them with respect to the independent variable.

Let's use the chain rule to differentiate this function.

Therefore, the differential of y = tan(sqrt(3t)) is dy/dt = (1/2)(3t)^(-1/2)(3)(sec^2(sqrt(3t))).

Let's differentiate this function using the power rule and the sum/difference rule for derivatives.

Therefore, the differential of y = 4 - v^2/4 + v^2 is dy/dv = 0 - v/2 + 2v = 3v/2.

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Answer:

-2x + 1

Step-by-step explanation:

1: -3x^2 + 5x + 2 - 1 - 7x + 3x^2

2: (-3x^2 + 3x^2) + (5x - 7x) + (2 - 1)

3: 0 - 2x + 1

4: -2x + 1

Step 1: Given equation

Step 2: Group the terms with similar exponents together

Step 3: Add the terms together

Step 4: Simplify completely

If you draw a line between the vertex above the side with length 6 straight across and perpendicular to the opposite side, you can create a rectangle, and that line would have a length of 10 because it is congruent with the length of the base.

You can see that the line that you drew in divides the left side of the figure with length 10 into two different lines. You can subtract 6 from 10 to get the length of the upper portion of the line, which is 4.

Knowing these lengths, you can use the Pythagorean theorem to find x. 4^2 + 10^2 = c^2

c = 2 times the square root of 29

Answer:

the answer is 14

Step-by-step explanation:

10 pluss the 4 makes 14

Answer:

The distance between 10 and -4 is 14

Step-by-step explanation:

Because 10 plus 4 is 14 so the answer is 14,Hope it help you.

Answer:

50.27 cm

Step-by-step explanation:

We Know

The area of the circle = r² · π

Area of circle = 64π cm²

r² · π = 64π

r² = 64

r = 8 cm

Circumference of circle = 2 · r · π

We Take

2 · 8 · (3.1415926) ≈ 50.27 cm

So, the circumference of the circle is 50.27 cm.

Answer: C=16π cm or 50.24 cm

Step-by-step explanation:

The formula for area and circumference are similar with slight differences.

\(C=2\pi r\)

\(A=\pi r^2\)

Notice that circumference and area both have \(\pi\) and radius.

\(64\pi=\pi r^2\)        [divide both sides by \(\pi\)]

\(64=r^2\)             [square root both sides]

\(r=8\)

Now that we have radius, we can plug that into the circumference formula to find the circumference.

\(C=2\pi r\)          [plug in radius]

\(C=2\pi 8\)          [combine like terms]

\(C=16\pi\)

The circumference Is C=16π cm. We can round π to 3.14.

The other way to write the answer is 50.24 cm.

The number 459 in the citation 319 N.W. 2d 459 represents the page number where the case or legal opinion can be found in the North Western Reporter, Second Series. The North Western Reporter is a series of case reporters that includes court decisions from various states in the northwestern region of the United States.

In legal citations, the number before the "N.W." indicates the volume number of the reporter. So in this case, "319" refers to the specific volume where the case is located. The abbreviation "N.W." stands for North Western Reporter, which is the name of the reporter series. The number "2d" after "N.W." indicates that this is the second series of the North Western Reporter.

To locate the case within the volume, the number "459" refers to the page number where the case begins. This allows readers, such as lawyers, judges, or researchers, to easily find and reference the specific case within the reporter.

In summary, the number "459" in the citation 319 N.W. 2d 459 represents the page number where the case can be found in the North Western Reporter, Second Series.

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0.0952% ≈ 10%

Hi !

42 cm ............... 100%

4 cm .......................x%

x = 4×100/42 = 400/42 = 0.0952% ≈ 10%

Good luck !

Answer:

\(\displaystyle d = \sqrt{82}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

Point (1, 5)

Point (-8, 4)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

The Objective Function in the linear programming problem given in the above-stated scenario is:

B. S = 3x + 5y

Linear programming is a statistical technique used to find a maximum or minimum value of an equation in order to find a solution to a problem. It is used to calculate how much to produce to maximize profits, how to allocate resources, and determine which investments to make.

Linear programming problems include an objective function, which is the equation to be maximized or minimized, and constraints that must be followed. Linear programming problems can be solved graphically or algebraically. In order to solve a linear programming problem, we first need to identify the objective function and constraints.

Objective Function in the linear programming problem:

The score of the student is to be maximized in the given time frame by answering the maximum number of questions of both types.

Therefore, the objective function is: S = 3x + 5y

Answer: B. S = 3x + 5y

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Answer

Step-by-step explanation:

Done!

Answer:

I will on my phone later I keep it in mind I in school right now but I will.

Step-by-step explanation:

Answer:

y=-2x+3 (first choice)

Step-by-step explanation:

-y-intercept is at positive 3, so the "b" value is +3

-the line is going downward from left to right, so the slope is negative

-slope is defined as rise over run, which is 2/1, or 2, so the "m" value is -2

-that gives you the functions equation to be y=-2x+3.

Answer:

m'n' equals 13

Step-by-step explanation:

39 divided by 1/3 equals 13

Answer:

Asuming this is a triangle: C = 32.5

Step-by-step explanation:

Asuming this is a triangle:

Use the pythagorean Therom:

\(A^2 + B^2 = C^2\)

\(26^2 + 19.5^2 = C^2\)

\(676+380.25=1056.25\)

\(C= \sqrt{1056.25}\)

\(C= 32.5\)

The minimum value and median are used in the five-number summary.

A box and whisker plot displays a "box" with its left edge at Q₁, right edge at Q₃, "center" at Q₂ (the median), and "whiskers" at the maximum and minimum.

Given:

A five-number summary.

That means minimum value, lower quartile (Q1), median value (Q2), upper quartile (Q3), and maximum value.

From the given choices:

The minimum value and median are the required measures.

Therefore, the minimum value and median are the required measures.

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Answer: -3n + 18

Step-by-step explanation:

When examining the sequence, you can see that every time, it decreases by 3, therefore the first part of your rule should be:

-3n

(Extra note to wow your maths teacher! This is a linear sequence as it decreases/increases by the same amount each time.)

Next, you will need to find the number before the given sequence. As it decreases by 3 every time, to find the number before you need to increase by 3. Therefore, the next part you need is + 18.

Leave a comment if you don't understand anything :)

Answer:

------------------------------------

Given sequence:

This is an AP, with the first term a = 15 and common difference of - 3, as it is decreasing by 3.

Use nth term equation for an AP:

Answer:

60 degrees

Step-by-step explanation:

40 degrees + 2y+20 degrees makes a straight angle. (from alternate interior angles postulate)

Thus, 2y+60 degrees = 180, or 2y = 120 degrees.

This means y = 60 degrees

The population in 208 years based on the information is 10193600.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

Since the city doubles its size every 52 years. The number of times that it'll double in 208 years will be:

= 208 / 52

= 4 times

The population in 208 years will be:

= 637100 × 2⁴

= 637100 × 16

= 10193600

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Answer:

Step-by-step explanation:

Step-by-step explanation:

Option c, d,and f is correct

Two cars, an Audi and a Tesla, travel a 100 mile journey. The fastest car is Audi by 30mph.

While distance and displacement appear to have the same meaning, they actually have very different definitions and implications. Displacement is the measurement of "how far an object is out of place," whereas distance refers to "how much ground an object has covered during its motion."

The formula of the speed is given as:

Speed = distance / time

For Audi:

Speed = 100 / 2 = 50 mph

For Tesla:

Speed = 100 / 5 = 20mph

The difference between their speeds is:

50 - 20 = 30mph

Hence, the fastest car is Audi by 30mph.

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The ordered pair that is the solution of the given system of inequalities is (2, -2)

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is a system of inequalities, y < -x and 2x+y > 2, we need to determine solution set of the given system of inequalities,

The inequalities are,

y < -x....(i)

2x+y > 2

y < 2-2x...(ii)

To find the ordered pair, put y = -x in equation Eq(ii) and replace < by =

-x = 2 - 2x

x = 2

y = -2

Therefore, the ordered pair, is (2, -2) {look at the graph attached}

Hence, the ordered pair that is the solution of the given system of inequalities is (2, -2)

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Answer:

6+6+6÷6

Step-by-step explanation:

Fold tracing paper so that the line segment's endpoints line up with each other ,  Option D is the correct answer.

A perpendicular is a line drawn at 90 degree to a given line or line segment .

Fold tracing paper so that the line segment's endpoints line up with each other.

After drawing a line segment ,

when the end point will be on each other and a crease will be made by pressing the paper , The crease formed will be perpendicular to the line segment.

Therefore,  Option D is the correct answer.

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Answer:

The correct answer is C.

Step-by-step explanation:

Fold tracing paper so that the line segment's endpoints line up with each other.

Answer:

Dominio de una Raíz cuadrada

Cuando tenemos una raíz, para estudiar su existencia debemos saber que una raíz existe si y solo sí el radicando (lo que está dentro de la raíz) sea mayor o igual a cero.

Por lo tanto deberemos estudiar el signo de lo que se encuentra dentro de la raíz; y determinar las zonas positivas y las raíces que son las zona de existencia de la función raíz o dominio de esta función.

Step-by-step explanation:

qsy

Using the Squeeze Theorem to find lim f(x) if 5x+23f(x) 3x2 + 8 x+2, the limit of f(x) is 0.

The Squeeze theorem, also known as the Sandwich theorem, is a method for determining the limit of a function between two other functions whose limits are equal. It is used to find the limit of a function that cannot be directly evaluated because it approaches infinity or some other indeterminate form.

Here's how to use the Squeeze Theorem to find the limit of f(x):

Given that, `5x+23f(x) ≤ 3x²+8x+2`Now, `3x²+8x+2` will be taken as the "Sandwich" function. T

hat is:`5x+23f(x) ≤ 3x²+8x+2 → 23f(x) ≤ 3x²+8x+2-5x → 23f(x) ≤ 3x²+3x+2`

Next, divide through by 23:`f(x) ≤ (3/23)x² + (3/23)x + (2/23)`

The limit as x approaches infinity of (3/23)x² + (3/23)x + (2/23) is zero.

Therefore, the limit of f(x) as x approaches infinity is zero. Answer: The limit of f(x) is 0.

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Answer:

I don't see a question. if you comment it on this answer I can try to help

28inch^2

Rectangle:

[Length x Breadth]

5 + 3 = 8inch

8 x 2.5 = 20inch^2

Right Triangle:

[1/2 x Base x Height]

1/2 x 5 x 2 = 1/2 x 10

= 5inch^2

Left Triangle:

[1/2 x Base x Height]

1/2 x 3 x 2 = 1/2 x 6

= 3inch^2

20 + 5 + 3 = 28inch^2