Find the diameter of a circle whose circumference is 74cm

The general solution will consist of the complementary solution, which satisfies the homogeneous equation, and the particular solution, which satisfies the non-homogeneous part of the equation.

First, we find the complementary solution by assuming y = e^(rt) and substituting it into the homogeneous equation. This leads to a characteristic equation r⁴ + 2r³ + 2r² = 0, which can be factored as r²(r² + 2r + 2) = 0. The roots of this equation are r = 0 (with multiplicity 2) and r = -1 ± i.

The complementary solution, y_c(t), is given by y_c(t) = c₁\(e^(0t)\) + c₂te^(0t) + c₃\(e^(-t)\)cos(t) + c₄\(e^(-t)\)sin(t), where c₁, c₂, c₃, and c₄ are constants determined by initial conditions.

Next, we find the particular solution using the Method of Undetermined Coefficients. We assume a form for the particular solution based on the form of the non-homogeneous terms. In this case, we assume a particular solution of the form y_p(t) = Aet + Bte^(-t) + Csin(t) + Dcos(t), where A, B, C, and D are undetermined coefficients.

Substituting this particular solution into the original equation, we can determine the values of the undetermined coefficients by comparing like terms. However, we are not asked to evaluate these coefficients in this problem.

Finally, the general solution is obtained by combining the complementary solution and the particular solution:

y(t) = y_c(t) + y_p(t).

The specific values of the undetermined coefficients can be determined by applying initial conditions or boundary conditions if provided.

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The two amount of numbers are 11 and 135. 11 is a multiple of 11 and 135 is a multiple of 17. The sum of the two numbers is 146.

Step 1: One of the numbers is a multiple of 11

Let the number be 11x, where x is an integer

Step 2: The total of the two numbers is 146

Therefore, 11x + 17y = 146, where y is an integer

Step 3: Solve the equation

11x + 17y = 146

11x = 146 - 17y

x = (146 - 17y) / 11

Step 4: Find the two numbers

x = (146 - 17y) / 11

For y = 1, x = 11

Therefore, the two numbers are 11 and 17.

The two numbers that add up to 146 are 11 and 135. 11 is a multiple of 11, which means it is divisible by 11 without any remainder. 135 is a multiple of 17, which means it is divisible by 17 without any remainder. When these two numbers are added together, the sum is 146. This means that 11 and 135 are the two numbers that add up to 146. 11 is a multiple of 11 and 135 is a multiple of 17, which explains why the sum of the two numbers is 146. The two numbers together can be used to represent a variety of different mathematical equations, such as the addition of two integers or the multiplication of two fractions. Knowing the two numbers that add up to 146 can be useful in a variety of different scenarios, such as solving math problems or accounting for the total of two items.

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Answer: x>9

Step-by-step explanation:

3 < x/2+1  

switch sides: x/2+1 > 3

Multiply sides by 3: 3x/2+1 > 3*3

Simplify: x>9

Answer:You need to 56.34, by 35.87. And you get your answer. 20.47!

Step-by-step explanation:

PLEASE ANSWER MY QUESTION FROM MY PROFIL!

Have a great day!

Answer:

If  

KM

and  

NP

are parallel lines and mNOQ = 55°, what is mPOL?

97.8

Step-by-step explanation:

Answer: f-1(x) = 9x + 18.

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y =  x - 2 ( add 2 to both sides )

y + 2 =  x

Multiply through by 9 to clear the fraction

9y + 18 = x

Change y back into terms of x

(x) = 9x + 18

Answer:

Answer: f-1(x) = 9x + 18.

Step-by-step explanation:

No, 1 1 2 3 5 8 is not an arithmetic sequence. An arithmetic sequence is a sequence of numbers in which each term is obtained by adding a constant to the previous term.

Thus, the difference between successive terms is the same. In the given sequence, the difference between terms 1 and 2 is 0, between terms 2 and 3 is 1, between terms 3 and 5 is 2, and between terms 5 and 8 is 3. Therefore, the difference between successive terms is not the same and hence, 1 1 2 3 5 8 is not an arithmetic sequence.

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The expression when evaluated is 10f + 3

From the question, we have the following parameters that can be used in our computation:

10f + 6 + 5-8​

Collect the like terms

So, we have the following representation

10f + 6 + 5-8​ = 10f + 6 + 5-8​

Evaluate the like terms in the expression

So, we have the following representation

10f + 6 + 5-8​ = 10f + 3

Hence, teh expression is  10f + 3

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Answer:

step by step and the dog got 10 fire wood

Answer:

-7

Step-by-step explanation:

Answer:

x + y = -6

Step-by-step explanation:

Just put x and y and add the number on the RHS
Its really not that hard

But i hope it helped

Answer:

(B)   is true    

4 x + y = 4 * (-6) + 0 = -24   and is on the line

Answer:

  B. (-6, 0) is on the line

Step-by-step explanation:

The points of concern are those where y=0. Using that in the equation, we find the x-value to be ...

  4x +0 = -24

  x = -24/4 = -6

That is, the point (-6, 0) is on the line and is a solution to the equation.

__

Additional comment

Answer choices C and D can be rejected immediately, because they are nonsense. If a point is on the line, it IS a solution. It will not be on the line if it is not a solution.

To find the cooling rate of the car, we need to determine the temperature decrease per unit of time.

Given that the car overheats at 280°F and can be driven again at 230°F, we can calculate the temperature difference:

Temperature difference = overheating temperature - driving temperature
Temperature difference = 280°F - 230°F
Temperature difference = 50°F

Since the cooling rate of the car is not explicitly given, we cannot directly determine it. However, we can make some assumptions based on the information provided.

Assuming that the cooling rate is linear, we can calculate the temperature decrease per degree Fahrenheit.

Temperature decrease per degree Fahrenheit = temperature difference / (overheating temperature - outside temperature)
Temperature decrease per degree Fahrenheit = 50°F / (280°F - 80°F)
Temperature decrease per degree Fahrenheit = 50°F / 200°F
Temperature decrease per degree Fahrenheit = 0.25°F

Therefore, the cooling rate of the car would be 0.25°F per degree Fahrenheit.

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Answer:

47 hours

Step-by-step explanation:

564/12 = 47

Answer:

47 hours

Step-by-step explanation:

564÷12.00= 47

If money 0.08 or 8% compound interest annually, then Marilou makes a lot of money of 834,323.90 annually.

Compound Interest rate:

Compound interest is interest on savings calculated on the original principal amount or money and accrued interest from previous periods.

The power of "interest plus interest" or compound interest is thought to have its origins in 17th century Italy. This will increase faster than simple interest, which is calculated on the principal only.

Capitalization increases capital at an accelerated rate, the more periods of capitalization, the greater the capitalization.

Because the payments are made monthly and the interest rate is compounded annually, we must convert the interest rate from annual compound to monthly compound.

Given that:

Php = 10000/ month

Duration 10 years.

Now,

If the interest rate is 8% annually then,

8% = 1 + 0.08 =1.08¹⁾¹²

= 1.00643403011 - 1 x 12 x 100=

7.720% compounded monthly.

And also,

PV = 0;  P = 10000; R = 0.07720836132 / 12;

N = 10× 12; P× (1 + R)ⁿ⁻¹)× ((1 + R)⁻ⁿ)× R⁻¹)

And,

Present Value = 834,323.90.

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Answer:

i'm going to say 12 if i'm wrong i'm sorry

Step-by-step explanation:

The estimated simple linear regression equation is:
Forecast demand (Y) = 0.985 + 3.004X

The estimated simple linear regression equation can be obtained from the given output. In the regression output, the intercept is represented as "Intercept" and the coefficient for the X variable is represented as "X Variables Coefficients".

From the output, we can see that the intercept value is 0.985 and the coefficient for the X variable is 3.004.

This equation represents the relationship between the time-period (X) and the forecasted demand (Y). The intercept value (0.985) represents the estimated demand when the time-period is zero, and the coefficient (3.004) represents the change in demand for each unit increase in the time-period.

It's important to note that the equation is estimated based on the given data, and its accuracy and reliability depend on the quality and representativeness of the data.

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Answer:

f(x)=64

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

\(2\)

Step-by-step explanation:

\(8+14-5-7+3-7-4\)

We'll Follow the PEMDAS order of operations:-

Add and subtract:-

8+14=22

\(22-5-7+3-7-4\)

22-5=17

\(17-7+3-7-4\)

17-7=10

\(10+3-7-4\)

10+3=13

\(13-7-4\)

13-7=6

\(6-4\)

\(2\)

OAmalOHopeO

Answer:

6,802

Step-by-step explanation:

76        6,802

--      =  ---

100      8,950

Multiply 8950 times 76, then divide 680,200 by 100, which equals 6,802.

Answer:

\(42 = - 48 + 3r\)

add 48 to either sides:

\(42 + 48 = ( - 48 + 3r) + 48 \\ 90 = 3r \\3r = 90\)

divide all sides by 3:

\( \frac{3r}{3} = \frac{90}{3} \\ \\ { \boxed{ \boxed{r = 30}}}\)

Answer:

r = 30

Step-by-step explanation:

42 = -48 + 3r

42 + 48 = -48 + 48 + 3r

90 = 3r

\(\frac{90}{3} =\frac{3r}{3}\)

30 = r

Answer: \(\boxed{\frac{1}{100}\ or\ 0.01}\)

Step-by-step explanation:

Determine the value of \(y^{12} \ when\ y=10^{-\frac{1}{6}\)

\(=(10^{-\frac{1}{6} })^{12}\)

\(=\frac{1}{100}\ or\ 0.01\)

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ y^{12}\hspace{5em}y=10^{-\frac{1}{6}}\qquad \implies \qquad \left( 10^{-\frac{1}{6}}\right)^{12}\implies 10^{-\frac{1}{6}\cdot 12} \\\\\\ 10^{-2}\implies \cfrac{1}{10^2}\implies \cfrac{1}{100}\)

Answer:

A circle is the set of points at a certain distance from the center. Take the desired base. Put the points of the compass on each end. Leaving one point in place rotate the other to create an arc. Do the same with the other end. Where the arcs meet is the apex of the triangle. Connect two sides to the base. The sides are the desired length because they form a radius of a circle.

Step-by-step explanation:

Answer:

I think the answer is -7

because : 3(-5) + 4(2)

-15 + 8

= -7

The number of  subscribers they must  sample to obtain this interval is: b) 385.

How to find the sample?

95% confidence interval for z-score is  1.96

Using this formula to find the number of  subscribers  they must sample to obtain this interval

n≥ (zσ/2 ÷ 2ME)²

Where:

n= Sample

zσ = Z-score

ME = margin of error

Let plug in the formula

n≥ [1.96 / 2(0.05)]²

n≥ [1.96 / 0.1]²

= (19.6)²

= 384.16

=385 (Rounded)

Therefore the correct option is B.

The complete question is:

Netflix would like to estimate the proportion of their current subscribers who would pay extra for a premium membership including access to more movies and TV shows. To do this, they plan to calculate a 95% confidence interval to estimate the proportion. They would like a margin of error of .05. How many subscribers must they sample to obtain this interval?

a) 1537

b) 385

c) 192

d) 10

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Depends on the specific data and coefficients of the quadratic regression model used.

The coefficient of determination, denoted as R-squared (R2), is used to calculate the percentage of variation in productivity explained by the quadratic regression model. R-squared is a statistical measure that represents the proportion of the variance explained by an independent variable or variables in a regression model for a dependent variable.

R-squared is calculated by comparing the total sum of squares (TSS) and the residual sum of squares (RSS):

TSS = Σ(y - ȳ)^2

RSS = (y - - x - b*x2)2.

where y is the actual productivity value, is the mean of the productivity values, x is the independent variable, and b are the quadratic regression model coefficients.

R-squared can be calculated using the formula:

R2 = 1 minus (RSS/TSS)

We can then convert R-squared to a percentage to get the percentage of variation in productivity explained by the quadratic regression model.

As a result, the answer to this question is dependent on the specific data and quadratic regression model coefficients used.

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i am the globglogabgalab The shwabble-dabble-wabble-gabble flibba blabba blab

Answer:

5 and 4

Step-by-step explanation:

Step-by-step explanation:

Given

sin(α+β) cos(α-β) +cos(α+β) sin(α -β)

We can see it is in the formula of

sin(A + B) = sinA cosB + cosA sinB

So now

Sin ( α + β + α - β)

= sin 2α

Or we can write sin2α as

= 2 sin α * cos α

Hope it will help :)❤

The minimum is 29 cm and it represents the sensor's minimum height above the ground.

In Mathematics and Geometry, the standard form of a cosine function can be represented or modeled by the following mathematical equation (formula):

y = Acos(Bx - C) + D

Where:

By critically observing the graph which models the sensor's height above the ground (in centimeters) shown in the image attached below, we can reasonably infer and logically deduce that it has a minimum height of 29 centimeters.

In conclusion, the sensor's minimum height above the ground cannot exceed 29 centimeters.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

-2 is the slope if that's what's asked ?

Answer: 96 oz

Step-by-step explanation: