HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!

In the equation, r will have the value 1.79.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. The sign shows the relationship of equality between the expression written on the left side with the expression written on the right side.

14.3 = pi (r²) (1.4)

(r²) = 14.3/pi(1.4)

where pi = 3.142

(r²) = 14.3/3.142(1.4)

(r²) = 14.3/4.3988

(r²) = 3.212

r = √3.212

r = 1.79

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The rate of change of demand is -221. This indicates that for every $1 increase in price, the demand for the product will decrease by 221 units.

The demand function is provided as follows: x = 800 − p −4pp + 3, p = $5The problem statement requires us to use the demand function to find the rate of change in demand (x) for a given price (p) and round the answer to two decimal places.

As per the problem statement, the price is given as $5. Therefore, we substitute the value of p in the demand function: x = 800 − (5) −4(5)(5) + 3x = 787We now differentiate the demand function to find the rate of change in demand.

Since the value of x can be a function of time, the differentiation results in the rate of change of x with respect to time. However, as per the problem statement, we are interested in the rate of change of x with respect to p.

Therefore, we use the chain rule of differentiation as follows: dx/dp = dx/dx * dx/dp Where dx/dx = 1, and dx/dp is the rate of change of x with respect to p.

dx/dp = 1 * d/dp [800 - p - 4p(p) + 3]dx/dp = -1 - 4p (1+2p)dx/dp = -1 - 4p - 8p²The rate of change of demand for p = $5 is given as follows: dx/dp = -1 - 4(5) - 8(5)²dx/dp = -1 - 20 - 200dx/dp = -221Therefore, the rate of change of demand is -221.

This indicates that for every $1 increase in price, the demand for the product will decrease by 221 units.

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Answer:

g(4) = 5

Step-by-step explanation:

g(4) means what is the value of y when x = 4

locate x = 4 on the x- axis , go vertically up to meet the graph at (4, 5 ), so

g(4) = 5

Step-by-step explanation:

The cube has SIX sides ....each has area   x * x

  total area =   6    *  x*x   =   216     cm^2

                         6x^2 = 216

                              x^2 = 36

                               x = 6 cm

Volume =   x * x * x = 216 cm^3

Note that according to the areas of the circles in square units, the circles ordered from the least to the greatest is:

To determine the correct order, we need to solve for the areas of all the circles given the various factors provided.

A) a circle with an area of 1,040.09 square units. (Area given)

B) a circle with a radius of 27 units

Area where radius is given is computed using:

A = πr²

A = π * 27²

A \(\approx\) 2290.22

C) a circle with a circumference of 87.92 units

Since Circumference is given:

A = C²/4π

Where C = Circumference

Thus A = 87.92²/*4*π)

A \(\approx\) 615.13

D) a circle with a diameter of 19 units.

Area, where the diameter is given, is:
A = 1/4 πd²

A = 1/4 * π * 19²

A \(\approx\) 283.53

Thus, it is correct to state that the order of the Areas of the Circles given from least to greatest is:
Area of a circle with a Diameter of 19

a circle with a radius of 27 units.

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Full Question:

Place the circles in order from the circle with the smallest area to the circle with the largest area

* a circle with a area of 1,040.09 square units.

* a circle with a radius of 27 units

*a circle with a circumference of 87.92 units

*a circle with a diameter of 19 units.

On solving the provided question, we can say that volume of cylinder  =  \(\pi r^2h\) = 13564.8

One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.

volume of cylinder  =  \(\pi r^2h\)

\(\pi\) = 3.14

r = 15 cm\

h = 18 cm

V = \(3.14*15*16*18\) = 13564.8

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Answer:

A B and C

Step-by-step explanation:

it's a simple question

Answer:

13/13.3 or 10

Step-by-step explanation:

You said she paid $10 to join, if she spent at least $40, then we subtract 10, then divide 30 by 3 then you would get 10.

If we don't have to subtract and she spent around $40 on only books, it would be 13/13.3

Answer:

3/8

Step-by-step explanation:

P(B) is given to you in the question.

The base area of cube B is 25/9  times larger than the base area of cube A.

What is area cubic?

We know that volume of cube with each side of  units is equal to .

First of all, we will find the each side of cube A and B as:

\(A^{3} = 27\)

\(\sqrt[3]{A^{3} } = \sqrt[3]{27}\)

A = 3

\(B^{3} = 125\)

\(\sqrt[3]{B^{3} } = \sqrt[3]{125}\)

B = 5

Now, we will find base area of both cubes as:

\(\frac{Base area of B}{Base area of A} = \frac{B^{2} }{A^{2} }\)

\(\frac{Base area of B}{Base area of A} = \frac{5^{2} }{3^{2} }\)

\(\frac{Base area of B}{Base area of A} = \frac{25}{9}\)

Therefore, the base area of cube B is 25/9  times larger than the base area of cube A.

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The measurement that gives you the difference between the points on the scatterplot and the prediction line for the same value of x is the residual. Therefore, the correct answer is C. Residual.

In regression analysis, the residual represents the vertical distance between the observed data points and the corresponding predicted values on the regression line. It is calculated by taking the difference between the actual observed value and the predicted value for a specific value of the independent variable (x). The residuals provide a measure of how well the regression line fits the data, with smaller residuals indicating a better fit.

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Hey there! :)

Answer:

(3.5, -1).

Step-by-step explanation:

Use the midpoint formula to solve this problem:

\((x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\)

Plug in the coordinates given:

\((\frac{10-3}{2}, \frac{8-10}{2})\)

Simplify:

\((\frac{7}{2}, \frac{-2}{2})\)

Therefore, the coordinates of the mid-point are:

(3.5, -1).

Answer:

The graphs of f and g intersect eachother at x = -2

Step-by-step explanation:

A solution to a system of equations or functions is the intersection point of them

Answer: 14

Step-by-step explanation:

Well, we know that the formula to fugure out area is :Length times Width

We also know that WIdth is 24. So 24 times __ =5/8.

Now, how do you figure out __? Well, let's first replace that as a variable to make it easier. Let's choose: x   Now, we know that:

x * 24 = 5/8.

To figure out x, we need to do 5/8 divided by 24, right?  When you solve that, the answer would be 15. The closest is 14, so I think the answer is 14.

The set builder notation of the inequality  - 3(7n + 3) < 6n is,

{n : n ∈ R, n > - 3 }.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An inequality - 3(7n + 3) < 6n.

Now, distributing the terms we get,

- 21n - 9 < 6n.

- 21n - 6n < 9.

- 27n < 9.

27n > - 9.          (Think of moving the variable to the other side to make it

                                                                                                        positive).

n > - 27/9.

n > - 3.

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Answer:

0

Step-by-step explanation

Answer:

W (1/3)=0

Step-by-step explanation:

w 1/30=3x1/3-1=

now elimante the opposites

w(1/3)=1-1

which equals 0

Complete question is;

A rocket ship is travelling at an average speed of 1.75 × 10⁴ miles per hour. How many miles will the rocket ship travel in 1.2 × 10² hours?

1. Write the expression:       (1.75 × 10⁴)(1.2 × 10²)

2. Rearrange the expression:     (1.75 × 1.2)(10⁴ × 10²)

3. Multiply the coefficients:      (2.1)(10⁴ × 10²)

4. Apply the product of powers:    2.1 × 10^(y)

The rocket ship will travel 2.1 × 10^(y) miles. What is the value of y in the solution?

Answer:

Distance travelled by rocket ship = 2.1 × 10^(6) miles

y = 6

Step-by-step explanation:

1. The written expression;

(1.75 × 10⁴)(1.2 × 10²)

2. The rearranged expression is;

(1.75 × 1.2)(10⁴ × 10²)

3. Let's multiply the coefficient which is the first bracket to get;

2.1(10⁴ × 10²)

4. Applying the product of powers means we will add the powers of ten which are 4 and 2.

Thus; 2.1(10^(4 + 2)) = 2.1 × 10^(6) miles

Comparing to 2.1 × 10^(y), we have;

y = 6

Answer:

y=3 x=11

Step-by-step explanation:

ooo this is like a riddle

ok first write it out

x=2+3y

x+y=14

plug x into the second equation

(2+3y)+y=14

multiply and all that fancy stuff

2+3y+y=14

2+4y=14

14-2=12

4y=12

12/4=3

y=3

thennnn you plug it in again

14-y=x (because that's how you'd find x if x+y=14)

14-3=x

11=x

Answer:

D.

(0,5) and (-4,2)

E.

(-4,4) and (-1,7)

Step-by-step explanation:

To solve this problem, we apply the slope formula and compare with the known slope to see if the answer tallies;

 Slope  = \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)  

A.

(0,5) and (-4,8)

     x₁ = 0       y₁ = 5

     x₂ = -4     y₂  = 8

   Slope  = \(\frac{8-5}{-4-0}\)   = \(-\frac{3}{4}\)

B.

(6,-1) and (10,2)

     x₁ = 6       y₁ = -1

     x₂ = 10     y₂  = 2

   Slope  = \(\frac{10-6}{ 2-(-1)}\)   = \(\frac{4}{3}\)

C.

(1,5) and (4,7)

      x₁ = 1       y₁ = 5

     x₂ = 4     y₂  = 7

   Slope  = \(\frac{7-5}{4-1}\)   = \(\frac{2}{3}\)

D.

(0,5) and (-4,2)

     x₁ = 0       y₁ = 5

     x₂ = -4     y₂  = 2

   Slope  =  (2-5) / (-4-0)  = 3/4

E.

(-4,4) and (-1,7)

      x₁ = -4       y₁ = 4

     x₂ = -1        y₂  = 7

   Slope  = \(\frac{7-4}{-1-(-4)}\)   = \(\frac{3}{4}\)

The minimum sample size for the given event to have a normal approximation has to be 13 people.

For normal approximation,

np or n(1-p) should be greater than 10

where,

n = the sample size

p = probability for the occurrence of the event

Here, 20% of ohio residents support the legalization of marijuana

p = 20% or, 2/10

Hence,

1 - p = 1 - 2/10

= 8/10

Therefore, for normal approximation to be used

either n X 2/10 > 10    or,      n X 8/10 > 10

Therefore,

n X 2 > 10 X 10            or,      n X 8 > 10 X 10

hence,

n > 100/2                      or,               n > 100/8

n >  50                          or,               n > 12.5

Since we need to find the minimum no. of sample size to be required we will consider

n > 12.5

The sample size has to be a whole number hence,

n = 13

Therefore, the minimum sample size for the given event to have a normal approximation has to be 13 people.

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Answer:

n=15

Step-by-step explanation:

subtract 8 from both sides to get 3n=45

divide both sides by 3 to solve for n to get n=15

Answer:

n = 15

Step-by-step explanation:

3n + 8 = 53

the first step we are going to do is combine the like terms by moving the constant (8) to the right and subtracting

3n = 45

next step, we are going to isolate the n by dividing by 3 on both sides of the equation

3n divided by 3 is just n and 45 divided by 3 is 15, so we have our answer

The expression  aₙ > 0 and lim n → [∞] aₙ + 1 is true.

The term expression in math is defined as a sentence with a minimum of two numbers or variables and at least one math operation.

Here we have given that if an > 0 and lim n→[infinity] an + 1 an < 1, then lim n→[infinity] an = 0.

And we need to check whether the given statement is true or not.

While we looking into the given question, we have identified the following expression,

=> lim n → [∞] aₙ + 1

Here we have also know that the value of aₙ > 0.

When we equate the given expression with zero, we have get the following expression,

=> lim n → [∞] aₙ + 1 = 0

=>  lim n → [∞] aₙ = -1

Here we have given the condition that,  aₙ >0, so

=> lim n → [∞] aₙ = 0

Therefore, the expression is zero.

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Answer:

Step-by-step explanation:

We can form a table for the relation between muffins sold and days of the week given in the graph.

Days                    Muffins sold

Monday                       5

Tuesday                      6

Wednesday                 5

Thursday                     8

Friday                          10

Saturday                      13

Sunday                        15

This data reflects the sales of muffins are increasing continuously in the given week.

Therefore, number of muffins sold are directly proportional to the number of days of the week.

The solution for the given problem is (a) P(X ≥ 20,000) = 0.4493, P(X ≤ 30,000) = 0.7769, P(20,000 ≤ X ≤ 30,000) = 0.3276. (b) P(X > 75,000) = 0.0821, P(X > 100,000) = 0.0183.

Solution: a) To find the probability that a randomly selected fan will last at least 20,000 hours. P(X ≥ 20,000). Now, Mean time until failure is 25,000 hours which is given and is represented by µ. Hence, µ = 25,000 hrs. The parameter used for the Exponential distribution is λ.λ = 1 / µλ = 1 / 25,000 hrs. λ = 0.00004. Therefore, the probability that a randomly selected fan will last at least 20,000 hours. P(X ≥ 20,000) =  e -λt = e -0.00004 × 20,000 ≈ 0.4493The probability that a randomly selected fan will last at least 20,000 hours is 0.4493.

To find the probability that a randomly selected fan will last at most 30,000 hours. P(X ≤ 30,000) = 1 - e -λt = 1 - e -0.00004 × 30,000 ≈ 0.7769. The probability that a randomly selected fan will last at most 30,000 hours is 0.7769.

To find the probability that a randomly selected fan will last between 20,000 and 30,000 hours. P(20,000 ≤ X ≤ 30,000) = P(X ≤ 30,000) - P(X ≤ 20,000)P(20,000 ≤ X ≤ 30,000) = (1 - e -λt) - (1 - e -λt)P(20,000 ≤ X ≤ 30,000) = e -0.00004 × 20,000 - e -0.00004 × 30,000 ≈ 0.3276. The probability that a randomly selected fan will last between 20,000 and 30,000 hours is 0.3276.

b) To find the probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations.

z = (X - µ) / σZ = (X - µ) / σ = (X - 25,000) / (25,000)λ = 1 / µλ = 1 / 25,000 hrs. λ = 0.00004

The formula for z is z = (X - µ) / σ => X = z σ + µ

The standard deviation of the Exponential distribution is σ = 1 / λσ = 1 / 0.00004 = 25,000 hrs

Z = (X - µ) / σ = (X - 25,000) / (25,000)Z > 2z > 2 => (X - 25,000) / (25,000) > 2 => X > 75,000 hrs.

Now, the probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations.

P(X > 75,000) = e -λt = e -0.00004 × 75,000 ≈ 0.0821

The probability that the lifetime of a fan exceeds the mean value by more than 2 standard deviations is 0.0821

To find the probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations.

Z > 3z > 3 => (X - 25,000) / (25,000) > 3 => X > 100,000 hrs.

Now, the probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations P(X > 100,000) = e -λt = e -0.00004 × 100,000 ≈ 0.0183

The probability that the lifetime of a fan exceeds the mean value by more than 3 standard deviations is 0.0183.

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1 1/2 = 1 5/10

2/5 = 4/10

1 5/10 - 4/10 = 1 1/10

1 1/10 + 2 = 3 1/10

3 1/10 gallons of paint left

Answer: 31/10 gallons of paint.

Step-by-step explanation:

Find common denominators.

3/2 = 15/10

2/5 = 4/10

15/10 - 4/10 = 11/10

2 + 11/10 = 31/10

The solution to the differential equation that models the given verbal statement is: N = -k * (462s - s^2) + C. This equation represents the relationship between N and s, where the rate of change of N with respect to s is proportional to 924−s.

To write and solve the differential equation that models the given verbal statement, let's break it down step by step:
1. The rate of change of N with respect to s: This means we need to find the derivative of N with respect to s.
2. Proportional to 924−s: This means that the rate of change of N with respect to s is directly proportional to 924−s. In other words, the derivative of N with respect to s is equal to some constant multiplied by 924−s.
Let's represent the constant of proportionality as k.
Now, we can write the differential equation as follows:
dN/ds = k * (924−s)

To solve this differential equation, we need to separate the variables and integrate both sides.
First, let's separate the variables:
dN = k * (924−s) * ds
Next, let's integrate both sides:
∫dN = ∫k * (924−s) * ds

Integrating both sides gives us:
N = -k * (462s - s^2) + C
where C is the constant of integration.

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