Alexander found the means to MAD ratio of 2 data sets to be 2. 1
What can he conclude Bout the distributions?

Answer:

25/4

Step-by-step explanation:

I just did it and got It right on M period

The value of x = -25/ a

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

WE have been given an equation 15 + ax/5=10. we need to solve for x

15 + ax/5=10

Subtract 10 from, both side then

15 - 10+ ax/5=10 -10

15 - 10+ ax/5= 0

5 + ax/5= 0

Now subtract ax/5 on both side we get

5  = -ax/5

Cross multiplication;

25 = -ax

Therefore, the value of x = -25/ a

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Answer:

Step-by-step explanation:

Answer:

(2,-3)

Step-by-step explanation:

-6/-3 = 2  and 18/-6 = -3

Answer:

-9.1 degrees at midnight

Step-by-step explanation:

15.1 - 24.2 = -9.1 degrees

Answer:

a = 15 /100  * 28.62 = 4293 /1000

= 4.293

Hope this helps! :)

Answer:

noloce necesito puntos

If the balance will be $1370.55 after 6 years, then The balance will be $1711.03 after approximately 14.3 years.

The formula for calculating the balance in a continuously compounded account is:

\(A = Pe^{rt}\)

Where:

A = final balance

P = principal (initial deposit)

e = Euler's number (approximately 2.71828)

r = annual interest rate

t = time in years

We know that the initial deposit is $1000 and the balance after 6 years is $1370.55, so we can use these values to solve for the annual interest rate:

\(1370.55 = 1000*e^{6r}\)

⇒ \(ln(\frac{1370.55}{1000}) = 6r\)

⇒ \(r = \frac{ln(\frac{1370.55}{1000})}{6}\)

⇒ \(r = 0.0345\)

Now we can use the same formula to find out when the balance will be $1711.03:

\(1711.03 = 1000*e^{(0.0345*t)}\)

⇒ \(ln(\frac{1711.03}{1000}) = 0.0345*t\)

⇒ \(t = \frac{ln(\frac{1711.03}{1000})}{0.0345}\)

⇒ t = 14.3 years.

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Expression 1:

Degree: 2

Number of terms: 3

It is quadratic.

Expression 2:

Degree: 1

Number of terms: 2

It is a binomial.

Expression 3:

Degree: 0

Number of terms: 1

It is constant.

We have,

Expression 1: (3x - 1/4)(4x + 8)

Expanding the expression using the distributive property:

= 3x x 4x + 3x x 8 - (1/4) x 4x - (1/4) x 8

= 12x² + 24x - (4/4)x - 2

= 12x² + 24x - x - 2

= 12x² + 23x - 2

The degree of this expression is 2 because the highest power of x is 2.

There are 3 terms in this expression.

Expression 2:

(5x² + 7x) - (1/2) (10x² - 4)

Distributing the negative sign inside the parentheses:

= 5x² + 7x - (1/2)(10x²) + (1/2)(4)

= 5x² + 7x - 5x² + 2

= 7x + 2

The degree of this expression is 1 because the highest power of x is 1.

There are 2 terms in this expression.

Expression 3:

3(8x² + 4x - 2) + 6(-4x² - 2x + 3)

Expanding and simplifying each term:

= 3 x 8x² + 3 x 4x + 3 x (-2) + 6 x (-4x²) + 6 x (-2x) + 6 x 3

= 24x² + 12x - 6 - 24x² - 12x + 18

= (24x² - 24x²) + (12x - 12x) + (-6 + 18)

= 0x² + 0x + 12

= 12

The degree of this expression is 0 because there is no x term.

There is 1 term in this expression.

Thus,

Expression 1:

Degree: 2

Number of terms: 3

It is quadratic.

Expression 2:

Degree: 1

Number of terms: 2

It is a binomial.

Expression 3:

Degree: 0

Number of terms: 1

It is constant.

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The answer to the simplified expression 4⁹/4³ in index form is derived to be equal to 4⁶

To simplify a fraction written in index form, you can first express the numbers in prime factorization form by writing both the numerator and denominator as a product of prime factors. Identify common prime factors in the numerator and denominator and cancel them out. Then write the remaining factors as a product in index form.

Given the fraction 4⁹/4³, we can simplify as follows:

4⁹/4³ = (4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4)/(4 × 4 × 4)

we can cancel out (4 × 4 × 4) from both the numerator and denominator, living us with;

4⁹/4³ = 4 × 4 × 4 × 4 × 4 × 4

4⁹/4³ = 4⁶

Therefore, the answer to the simplified expression 4⁹/4³ in index form is derived to be equal to 4⁶

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Answer:

y = 14 + 2x

Step-by-step explanation:

Answer:

Look in the explanation

Step-by-step explanation:

This is the graph of a parabolic function

The hang time is 3 seconds

The maximum height is about 11 meters

for t between t=0 , t=1.5, the height is increasing

The derivative dz/dt can be found by applying the chain rule. Let's first substitute the given expressions for x and y into the equation for z:

z = (x + y)e^y

z = (3t + 1 - t^2)e^(1 - t^2)

Now, we can differentiate z with respect to t using the chain rule. The chain rule states that if u = f(g(t)), then du/dt = f'(g(t)) * g'(t).

Applying the chain rule to the given equation, we have:

dz/dt = d((3t + 1 - t^2)e^(1 - t^2))/dt

To differentiate this expression, we need to consider the derivative of each term. Let's break it down:

1. The derivative of 3t with respect to t is simply 3.

2. The derivative of 1 with respect to t is 0 since it is a constant.

3. The derivative of -t^2 with respect to t is -2t.

4. The derivative of e^(1 - t^2) with respect to t can be found using the chain rule again.

For the fourth term, let's define u = 1 - t^2. The derivative of u with respect to t is du/dt = -2t. Now, we have:

dz/dt = (3 + 0 - 2t)e^(1 - t^2) + (3t + 1 - t^2)d(e^(1 - t^2))/dt

Using the chain rule once more, we differentiate e^(1 - t^2) with respect to u:

d(e^(1 - t^2))/du = e^(1 - t^2) * d(1 - t^2)/dt

The derivative of 1 - t^2 with respect to t is -2t. Substituting this back into our expression, we get:

dz/dt = (3 + 0 - 2t)e^(1 - t^2) + (3t + 1 - t^2)(-2t)e^(1 - t^2)

Simplifying the expression, we have:

dz/dt = (3 - 2t)e^(1 - t^2) - 2t(3t + 1 - t^2)e^(1 - t^2)

Therefore, the derivative dz/dt is given by (3 - 2t)e^(1 - t^2) - 2t(3t + 1 - t^2)e^(1 - t^2), where e represents the exponential function.

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Answer:

Area of Hexagon = 1,995 m² (Approx.)

Step-by-step explanation:

Given:

Length of apothem = 24 m

Number of total sides = 6

Find:

Area of Hexagon

Computation:

Side = a[2tan(180/n)]

Side = 24[2tan(180/6)]

Side = 24[2tan(30)]

Side = 27.71 m (Approx.)

Area of Hexagon = [3√3a²]/2

Area of Hexagon = [3(1.732)(27.71)²]/2

Area of Hexagon = [3(1.732)(767.8441)]/2

Area of Hexagon = 3989.71794 / 2

Area of Hexagon = 1994.8589

Area of Hexagon = 1,995 m² (Approx.)

The distance between the given coordinates  (−5, −19) and (−5, 32) is given by 51 units.

Let us consider the coordinates of two given points be,

(x₁ , y₁ ) = ( -5 , -19 )

(x₂ , y₂ ) = (-5 , 32 )

Distance formula between two points is equals to,

Distance = √ ( y₂ - y₁)² + ( x₂ - x₁ )²

Substitute the values of the coordinates we have,

⇒ Distance = √ ( 32 - (-19))² + ( -5- (-5) )²

⇒ Distance = √ (32 +19)² + (-5 + 5)²

⇒ Distance = √ 51² + 0²

⇒ Distance =  51 units.

Therefore, the distance between the two points is equal to 51 units.

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Answer:

I think the a. is 4x^3 and b. is 5y^5

Answer:

The equation will change by an increase in the angular frequency of motion by a factor of 2 to become  d(s) = 7·sin(720s)

Step-by-step explanation:

The given oscillatory motion equation of the swinging pocket watch is d(s) = 7sin(360s)

The general equation of simple harmonic motion is x = A·sin(ω₁t + ∅)

Comparing, we have;

x = d(s)

A = 7

ω₁t = 360

∅ = 0

The period of oscillation = The time to complete a cycle =  2·π/ω₁

Therefore;

ω₁ = 2·π/T₁

When the cycle or the watch swing rate is doubled, the time taken to compete one cycle is halved and the new period, T₂ = T₁/2

ω₂ = 2·π/T₂  = 2·π/(T₁/2) = 4·π/T₁ = 2ω₁

The equation becomes;

x = A·sin(ω₂t) =  A·sin(2ω₁t) which gives;

d(s) = 7·sin(2 × 360s) = 7·sin(720s)

The equation will change by the doubling of the angular frequency of the motion

Answer:

I would say C

Step-by-step explanation:

I said C because when people look for information they look at different sources instead of just one.

x=10 if you are looking for the x value

Step-by-step explanation:

The number of minutes of talk time used each month is 89. The solution has been obtained by using linear equation.

What is a linear equation?

The linear equation has a degree of 1. It is evident that there are no variables in linear equations with exponents greater than one. This graph's equation produces a straight line.

We are given that a cell phone plan costs ​$ 28.90 per month for 400 minutes of talk time and the related information.

Let m be the number of minutes of talk time

From this, we get an equation as

273.91 = 7 (0.05m + 28.90 + 0.20(28.90))  

On solving the equation, we get

⇒273.91 = 7 (0.05m + 28.90 + 5.78)  

⇒273.91 = 0.35m + 202.3 + 40.46  

⇒273.91 = 0.35m + 242.76

⇒0.35m = 31.15

⇒m = 89

Hence, the number of minutes of talk time used each month is 89.

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For the given cost function, the maximum profit is $250.

What is profit maximization?

According to the firm theory, a company is founded with the intention of maximizing profits.

A company must run at the lowest possible cost while maximizing revenues in order to accomplish this.

When marginal costs and marginal revenue are identical, profits are maximized.

1. Determine the profit maximizing output.

For a firm in a competitive market, the marginal revenue is equal to the price (MR = P)

Get the MC by differentiating the total cost with respect to the quantity (Q)

C = 50 + 3Q^2

dC / dQ =6Q

MC = 6Q

Profit will be maximized when: MR = MC

MR = MC

60 = 6Q

Q =10

This is the profit maximizing output.

2. To get the maximum profits substitute this value into the equation:

Profit = Total revenue - Total cost

Profit = (P*Q) - (50 + 3Q^2)

Profit = (60*10) - (50 + 3*10^2)

Profit = 600 - 350

Profit = 250

Hence, for the given cost function, the maximum profit is $250.

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Solution:

y=mx^2-5x-2

To find x-intercepts we must equal y to zero:

y=0→mx^2-5x-2=0

This is a quadratic equation, and we can solve it using the quadratic formula:

ax^2+bx+c=0; a=m, b=-5, c=-2

x=[-b +- sqrt( b^2-4ac) ] / (2a)

x=[-(-5) +- sqrt( (-5)^2-4(m)(-2) ) ] / (2(m))

x=[5 +- sqrt(25+8m)] / (2m)

This equation doesn't have solution (no x-intercepts) if:

25+8m<0

This is an inequality. Solving for m: Subtracting 25 both sides of the inequality:

25+8m-25<0-25

8m<-25

Dividing both sides of the inequality by 8:

(8m) / 8 < (-25) / 8

m<-25/8

Answer: The graph of y=mx^2-5x-2 have no x-intercepts for m<-25/8

The inverse Laplace transform of F(s) is:

\(f(t) = e^(-t)\)

To find the inverse Laplace transform of each function, we need to express them in terms of known Laplace transforms. Here are the solutions for each function:

a)

\(F(s) = \large{\frac{2e^{-0.5s}}{s^2-6s+9}}\)

To find the inverse Laplace transform, we first need to factor the denominator of F(s). The denominator factors as (s - 3)². Therefore, we can rewrite F(s) as:

\(F(s) = \large{\frac{2e^{-0.5s}}{(s-3)^2}}\)

Now, we know that the Laplace transform of eᵃᵗ is 1/(s - a). Therefore, the inverse Laplace transform of

\(e^(-0.5s) \: is \: e^(0.5t).\)

Applying this, we get:

\(f(t) = 2e^(0.5t) * t \\

b) F(s) = \large{\frac{s-1}{s^2-3s+2}}\)

We can factor the denominator of F(s) as (s - 1)(s - 2). Now, we rewrite F(s) as:

\(F(s) = \large{\frac{s-1}{(s-1)(s-2)}}\)

Simplifying, we have:

\(F(s) = \large{\frac{1}{s-2}}\)

The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(2t) \\

c) F(s) = \large{\frac{s-1}{s^2+s-2}}

\)

We factor the denominator of F(s) as (s - 1)(s + 2). The expression becomes:

\(F(s) = \large{\frac{s-1}{(s-1)(s+2)}}\)

Canceling out the (s - 1) terms, we have:

\(F(s) = \large{\frac{1}{s+2}}\)

The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(-2t) \\

d) F(s) = \large{\frac{e^{-s}(s-1)}{s^2+s-2}}\)

We can factor the denominator of F(s) as (s - 1)(s + 2). Now, we rewrite F(s) as:

\(F(s) = \large{\frac{e^{-s}(s-1)}{(s-1)(s+2)}}\)

Canceling out the (s - 1) terms, we have:

\(F(s) = \large{\frac{e^{-s}}{s+2}}\)

The Laplace transform of

\(e^(-s) \: is \: 1/(s + 1).\)

Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(-t)\)

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Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

Answer:

78

Step-by-step explanation:

I just got it right

Based on the given information, we can estimate that out of the total population of students, 2 out of 4 students (or 50%) own graphing TI calculators so it can be estimated that the proportion of students who do not own a TI graphing calculator is 50%.

To estimate the proportion of students who do not own a TI graphing calculator, we can use the information provided that out of the 4 students who owned a TI calculator, 2 had graphing calculators. Since we know that all graphing calculators are TI calculators, we can assume that the 2 students with graphing calculators are included in the total count of students who own TI calculators. Therefore, the remaining 2 students who own TI calculators must have non-graphing calculators.

Based on this information, we can estimate that out of the total population of students, 2 out of 4 students (or 50%) own non-graphing TI calculators. Therefore, we can estimate that the proportion of students who do not own a TI graphing calculator is 50%.

It's important to note that this is an estimation based on the limited information provided. To obtain a more accurate estimate, a larger sample size or more comprehensive data would be needed. Additionally, this estimation assumes that the sample of 4 students is representative of the entire student population in terms of calculator ownership. If there are any biases or limitations in the sampling method or if the sample is not representative, the estimate may not accurately reflect the true proportion of students who do not own a TI graphing calculator.

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The area of the figure is 59 m².

Square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is side²

We have,

The figure has three squares.

Two similar squares and one square.

Similar square:

Side = 5 m

Another square:

Side = 3 m

Now,

Area of the figure.

= Area of the  similar square + Area of the another square

= 2 x side² + side²

= 2 x 5² + 3²

= 2 x 25 + 9

= 50 + 9

= 59 m²

Thus,

The area of the figure is 59 m².

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Answer:

$1,407.10

Step-by-step explanation:

1000(1.05)^7 = 1.05^7 ≈ 1.40710 * 1000 = $1,407.10