Which of the given values will make the inequality n - 93 > 175 true?

A n = 82

B n = 105

C n = 268

D n = 300

E n = 312

The amplitude of the wave is 17 cm, the wavelength is approximately 0.390 cm, the period is approximately 0.449 s, and the speed is approximately 0.868 cm/s.

In the equation given: y = (17 cm)cos(5.1 cmπ​x−14 sπ​t)

Part A: The amplitude of the wave is the coefficient of the cosine function, which is the value in front of it. In this case, the amplitude is 17 cm.

Amplitude (A) = 17 cm

Part B: The wavelength of the wave can be determined by looking at the argument of the cosine function. In this case, the argument is 5.1 cmπ​x. The wavelength is given by the formula:

λ = 2π / k

where k is the coefficient in front of x. In this case, k = 5.1 cmπ.

Wavelength (λ) = 2π / 5.1 cmπ ≈ 0.390 cm

Wavelength (λ) ≈ 0.390 cm

Part C: The period of the wave (T) is the time it takes for one complete oscillation. It can be calculated using the formula:

T = 2π / ω

where ω is the coefficient in front of t. In this case, ω = 14 sπ.

Period (T) = 2π / 14 sπ ≈ 0.449 s

Period (T) ≈ 0.449 s

Part D: The speed of the wave (v) can be calculated using the formula:

v = λ / T

where λ is the wavelength and T is the period.

Speed (v) = 0.390 cm / 0.449 s ≈ 0.868 cm/s

Speed (v) ≈ 0.868 cm/s

Therefore, the amplitude of the wave is 17 cm, the wavelength is approximately 0.390 cm, the period is approximately 0.449 s, and the speed is approximately 0.868 cm/s.

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The value of the expression is the same as the second option: !a || (b & !c).

Boolean variables are variables that can have only one of two possible values: true or false. They are named after the 19th-century mathematician George Boole, who developed a system of logic based on binary values. In computer programming, boolean variables are commonly used to represent conditions or states that can be either true or false, such as whether a certain condition is met or whether a certain task has been completed.

The expression !(a & !(b & !c)) can be simplified using De Morgan's laws and distributive property to obtain:

!(a & !(b & !c)) = !a || (b & !c)

Therefore, the value of the expression is the same as the second option: !a || (b & !c).

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There were total 276 guests in the wedding that Joy organised.

Given,

fraction of the guest that chose beef = 1/3

fraction of the guest that chose chicken = 5/12

fraction of the guest that chose vegetarian = 1  - 1/3 - 5/12 = 1/4

we are asked to find the total number of guests in the wedding:

guests that chose vegetarian = 1/4

guests that chose vegetarian = 69

1/4 of the guest = 69

4/4 of the guest = 69 x 4 = 276

Hence there are total 276 guests in the wedding.

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a) There is not enough evidence to conclude that cars get significantly better fuel economy with premium gasoline.

In order to test the belief that premium gasoline provides better fuel economy, a study was conducted using 10 cars from a company fleet. Each car was randomly assigned either regular or premium gasoline, and the mileage for each tankful was recorded. The data was analyzed to determine if there is a significant difference in fuel economy between the two types of gasoline.

To evaluate this, a paired t-test can be used since the same cars were tested with both types of gasoline. The null hypothesis would be that there is no difference in fuel economy between regular and premium gasoline, while the alternative hypothesis would be that there is a significant difference.

The results of the study would be analyzed using the appropriate statistical test, such as a paired t-test, to determine the p-value. If the p-value is less than the chosen significance level (e.g., 0.05), then there would be evidence to reject the null hypothesis and conclude that there is a significant difference in fuel economy.

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Answer:

Check explanation

Step-by-step explanation:

You're given the equation

\(A=-0.6t^2 + 37.2t + 243\)

where t is the number of year after 1980.

I guess you'd have learned the average rate of change equation.

\(r=\frac{y_2-y_1}{x_2-x_1}=\frac{f(x_2)-f(x_1)}{x_2-x_1}\)

You're asked to find average rate of change from

\(t_1=2000-1980=20\)

\(t_2=2015-1980=35\)

So lets plug that in

\(r=\frac{A(t_2)-A(t_1)}{t_2-t_1}\)

\(r=\frac{A(35)-A(20)}{35-20}\)

\(r=\frac{[-0.6(35)^2 + 37.2(35) + 243]-[-0.6(20)^2 + 37.2(20) + 243]}{35-20}\)

\(r=\frac{[-0.6(35)^2 + 37.2(35) + 243]-[-0.6(20)^2 + 37.2(20) + 243]}{15}\)

plug that in your calculator to get the answer. I dont have a calculator with me so I can't find the answer.

Answer:

The average rate of change is 4.2 billion kilowatt hours per year.  

In other words, the amount of nuclear energy increased, on average, by 4.2 billion kilowatt hours per year from 2000 to 2015.

Step-by-step explanation:

Recall that to find the average rate of change between two points, we simply need to find the slope between the two points.

Hence, to find the average rate of change from 2000 to 2015, find the slope between the points A(20) and A(35):

\(\displaystyle \begin{aligned} m_\text{avg} & = \frac{A(35)-A(20)}{(35)-(20)} \\ \\ & = \frac{(810)-(747)}{15} \\ \\ & = \frac{63}{15} = 4.2\end{aligned}\)

In conclusion, the amount of nuclear energy increased, on average, by 4.2 billion kilowatt hours per year from 2000 to 2015.

The square root of 45 ≈ 6.7082

The square root of 92 ≈ 9.5917

The square root of 126 ≈ 11.2249

The square root of 45 is approximately 6.7082, which is derived from taking the square root of 45 \((\sqrt(45)).\)

For 92, the square root is approximately 9.5917 \((\sqrt(92))\).

As for 126, its square root is around 11.2249 \((\sqrt(126)).\)

These values are approximations because the square roots of 45, 92, and 126 are irrational numbers, meaning their decimal representation is non-repeating and non-terminating.

When working with these square roots in calculations, it is common to either use their approximate values or to keep them in square root form to maintain the highest level of precision.

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The Question in English

What is the square root of 45

what is the square root of 92

what is the square root of 126

Answer:

a)22

b)7

c)8

Step-by-step explanation: its really complicated so ill try my best.

so the say 11 like both coffee and tea so that means that they also added 11 to

the other two sections. so if we take 11 away from 18 we get 7, and that's how many people like coffee and not tea. to get answer c) we need to also subtract 11 from 15, which gets us 4. so we have 11 plus 4 plus 7. and that gets us 22.  so 30 subtract 22 gets us 8 so 8 people don't like tea or coffee. 22 is also the answer to a). did you get that? i hope so

Explanation:

Red ribbon = 21cm + blue ribbon

Blue ribbon = green ribbon - 48 cm

Green ribbon = 2m 35cm

converting the length to centimeter:

100cm = 1m

Green ribbon = 2(100) + 35cm = 200 + 35

Green ribbon = 235cm

Blue ribbon = 235cm - 48cm

Blue ribbon = 187cm

Red ribbon = 21cm + 187cm

can you see the workings?please resp

Answer:

equation 1

y = -2x

equation 2

y = x-3

Solution to both

(1,-2)

Step-by-step explanation:

We need to get the equations of both lines

General form is;

y = mx + c

where m is slope and c is the y-intercept

Table 1

since we have a point 0,0; the y-intercept here is zero

Let us get the slope. We can do this by selecting any two points

m = (y2-y1)/(x2-x1)

m = (2-10)/(-1+5) = -8/4 = -2

So the equation of the first line is;

y = -2x

Table 2

we get the slope

m = (4+2)/(7-1) = 6/6 = 1

The partial equation is;

y = x + c

To get c, we select any two point and substitute

4 = 7 + c

c = 4-7

c = -3

So the equation is;

y = x-3

To get the solution to both systems, we equate the y

-2x = x - 3

-2x-x = -3

-3x = -3

x = -3/-3

x = 1

To get y, we substitute;

recall; y = -2x

y = -2(1)

y = -2

Solution to the system is;

(1,-2)

Answer:

Step-by-step explanation:

Numbers that is less than 5 like 4,3,2,1,0

Answer:

1>x>-2   or -2<x<1

Step-by-step explanation:

2<3-x<5   (minus 3)

-1<-x<2     (devide by -1)

1>x>-2

The histogram that represents this data-set is given at the end of the answer.

An histogram is a graph that shows the number of times each element of x was observed.

When measures are spaced out, such as is the case in this problem, the bins of the histogram represent an interval of values. Hence, in this problem, we consider that:

The histogram considering these intervals is given at the end of the answer.

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The number of degree of freedom for reading the t values is 60 , the correct option is (c) .

In the question ,

it is given that ,

number of items in the sample = 61 items

the mean of the sample is given as 23 ,

we have to find the degree of freedom(df) ,

the degree of freedom(df) can be solved using the formula

degree of freedom(df)  \(=\) (number of observations) - 1

Substituting the values in the formula ,

we get ,

degree of freedom = 61 - 1

= 60

Therefore , The number of degree of freedom for reading the t values is 60 , the correct option is (c) .

The given question is incomplete , the complete question is

In order to determine an interval for the mean of a population with unknown standard deviation a sample of 61 items is selected. The mean of the sample is determined to be 23. The number of degrees of freedom for reading the t value is ?

(a) 22

(b) 23

(c) 60

(d) 61

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Answer:

Step-by-step explanation:

Let the initial point on the line segment be O. If point A is located at 50 and point B is located at 104, then OA = 50 and OB = 104. Using the vector notation;

AO+OB = AB

(-OA)+OB = AB

-50+104 = AB

AB = 54

If point P divides the segment AB in a ratio 1:5, them AP:PB = 1:5

AP = 54/6

AP = 9

PB = 54-9

PB = 45

Hence the point P is located at 9 units from A and 45 units from B

Answer:

Answer is B

Step-by-step explanation:

Remember, perpendicular lines have opposite slopes. In order to do this, you just need to flip the sign (Change it to the opposite. For example, if it is 3, it would be -3), and change the slope to its reciprocal (For example, if it is 3, it would 1/3). Finally, since the equation is y = 1/2x + 10, the slope would change to -2x... so your answer is B

Answer:

7£

Step-by-step explanation:

Shamus buys 2 adult tickets which are 24£, 3 children tickets which are 21£, and 1 senior ticket which is 8£. 24 + 21 + 8 is 53. If Shamus pays with three 20£ notes, he payed 60£ in total. Shamus only needs 53£ however. 60 - 53 is 7 so Shamus would get 7£ back as change.

Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.

Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.

To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).

The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.

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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%

Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.

To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.

We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.

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To determine the change in angular momentum (ΔL) of a cylinder from t = 0 to t = t0, a student can use the equation:

ΔL = I * Δω

where ΔL is the change in angular momentum, I is the moment of inertia of the cylinder, and Δω is the change in angular velocity.

To calculate Δω, the student needs to know the initial and final angular velocities, ω0 and ωt0, respectively. The change in angular velocity can be calculated as:

Δω = ωt0 - ω0

Once Δω is determined, the student can use the moment of inertia (I) of the cylinder to calculate ΔL using the equation mentioned earlier.

The moment of inertia (I) depends on the mass distribution and shape of the cylinder. For a solid cylinder rotating about its central axis, the moment of inertia is given by:

I = (1/2) * m * r^2

where m is the mass of the cylinder and r is the radius of the cylinder.

By substituting the known values for Δω and I into the equation ΔL = I * Δω, the student can calculate the change in angular momentum (ΔL) of the cylinder from t = 0 to t = t0.

It's important to note that this method assumes that no external torques act on the cylinder during the time interval. If there are external torques involved, the equation for ΔL would need to include those torques as well.

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Answer:

Question 1: d ≥ 4  or  d ≤ -8

Step-by-step explanation:

Question 1 Solve the inequality. |d + 2| ≥ 6

d + 2 ≥ 6  or  d + 2 ≤ -6

d ≥ 4  or  d ≤ -8

Answer: Pigeonhole Principle

Step-by-step explanation:

The Pigeonhole Principle espouses that if there are more objects than the places the objects are supposed to fit into, some of those places will have more than one object. For instance, if there are 20 pigeons and only 19 pigeonholes, one pigeonhole will have more than one pigeon.

If one hundred people in your neighbourhood leave between 7:30 and 8:00 A.M. and arrive 30 minutes later that means they will arrive between 8:00 and 8:30 A.M. This means that 100 people will have to arrive in 30 minutes.

We would have to fit 100 people in 30 minutes. The minutes are the pigeonholes and the people are the pigeons. There will therefore be a situation where at least 2 people will arrive at the same minute because there are many more people than minutes for them to arrive in.

Answer:

×=-2+12/2,the anwser is ×=5,×=-7

Answer:

It will take him 8 months.

Step-by-step explanation:

If you divide 280 and 35 you get 8, which is the amount of months it takes.

Answer: A: Slope = -4, y-intercept 1

Step-by-step explanation:

To find slope, do rise over run. The y-intercept is where the line crosses the y-axis.

Answer:   cot x

Step-by-step explanation:

(sec x + csc x)(sin x + cos x) - 2 - tan x          >simplify to sin/cos

\(=(\frac{1}{cos x } +\frac{1}{sin x}) (sin x + cosx) -2-\frac{sinx}{cosx}\)           >find common denominator

                                                                       for first parenthesis

\(=(\frac{sinx+cosx}{sin xcos x }) (sin x + cosx) -2-\frac{sinx}{cosx}\)              >Multiply the first 2

                                                                            parenthesis

\(=(\frac{sin^{2} x+2sin x cos x+cos^{2} x}{sin xcos x }) -2-\frac{sinx}{cosx}\)                 >Use identity sin²x+cos²x=1

\(=(\frac{1 +2sin x cos x}{sin xcos x }) -2-\frac{sinx}{cosx}\)                                >Combine all fractions with

                                                                          common denominator

\(=\frac{1 +2sin x cos x-2sinxcosx -sin^{2}x }{sin xcos x }\)                             >Simplify

\(=\frac{1 -sin^{2}x }{sin xcos x }\)                                                          >Use identity sin²x=1-cos²x

\(=\frac{1 -(1-cos^{2}x) }{sin xcos x }\)                                                     >Distribute negative

\(=\frac{1 -1+cos^{2}x }{sin xcos x }\)                                                        >simplify 1-1

\(=\frac{cos^{2}x }{sin xcos x }\)                                                           >simplify cos/cos

\(=\frac{cosx }{sin x }\)                                                                 >Use identity cot=cos/sin

= cot x

Answer:

Option B, cotangent x or cot x

Step-by-step explanation:

First, I set up some shorthand based how each trig function operates in order to set up some conversion factors. You can also use trig identities if you are more familiar with those as the other answer suggests. That way is easier but it requires you to know the trig identities. If not, using the basic principles from angles of a right triangle can help:
Sine of x is the opposite leg over hypotenuse so we say S = O / H
Cosine of x is adjacent leg over hypotenuse so we say C = A / H
Tangent of x is opposite over hypotenuse so T = O / A
Cosecant of x is hypotenuse over opposite so csc = H / O
Secant of x is hypotenuse over adjacent so sec = H / A
Cotangent of x is adjacent over opposite so cot = A / O

For this first portion we are going to not think about the - 2 - tan x portion of the equation because we must FOIL the first part.

(sec x + csc x)(sin x + cos x)
FOIL stands for First, Outsides, Insides, and Lasts, marking what terms are multiply together in order to make an equation so:
Firsts: sec (sin x)
Outsides: sec (cos x)
Insides: csc (sin x)
Lasts csc (cos x)

So the new equation is:
sec (sin x) + sec (cos x) + csc (sin x) + csc (cos x)

Now we use our conversion factors to change each multiplication set:
\(\frac{H}{A}(\frac{O}{H}) + \frac{H}{A} (\frac{A}{H}) + \frac{H}{O}(\frac{O}{H}) + \frac{H}{O}(\frac{A}{H})\)
Use your knowledge of multiplying fractions and how variables in the numerator and denominator can cancel each other out. You simplify to:
\(\frac{O}{A} + 1 + 1 + \frac{A}{O}\)
Now use the conversion factors again to convert what is left into trig functions. O / A is tan x. A / O is cot x.

tan x + 2 + cot x.

NOW, bring back the portion we neglected earlier, simplify and solve.
tan x + 2 + cot x - 2 - tan x
tan x - tan x + 2 - 2 + cot x
0 + 0 + cot x
0 + cot x
cot x, option B

Answer:

-1/2

Step-by-step explanation:

Answer:

c. f(n) = (n+1)^2 + 2

Step-by-step explanation:

It is c. because...

f(n) = (1+1)^2 + 2

        2^2 + 2

        4 + 2 = 6 (first term)

f(n) = (2+1)^2 + 2

        3^2 + 2

        9 + 2 = 11 (second term)

f(n) = (3+1)^2 + 2

        4^2 + 2

        16 + 2 = 18 (third term)

A positive integer y is a whole number by definition, so we are essentially being asked how many positive integers there are. There are infinitely many positive integers, so the answer to the question is also infinity.

A positive integer y is a whole number if it isn't a bit or a numeric. In other words, it's a number that can be expressed without using  fragments or numbers, and can be written as a finite sum of positive integers. For  illustration, 2, 5, and 10 are whole  figures, but3/4,1.5, and √ 2 are not.   To determine how  numerous different values of y are whole  figures, we need to understand the  parcels of whole  figures.

Whole  figures have two main  parcels they're closed under addition and  addition. This means that when you add or multiply two whole  figures, the result is always a whole number. For  illustration, 2 3 =  5 and 2 × 3 =  6, both of which are whole  figures.   To find how  numerous different values of y are whole  figures, we can start with the  lowest possible value of y, which is 1.

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Answer:

y=x+3

Step-by-step explanation:

slope is 1

intercept is 3

The number of such sequences of strings of length 14 is 172.

Let \($a_n$\) and \($b_n$\) denote, the number of sequences of length n ending in A and B, respectively.

If a sequence ends in an A, then it must have been formed by appending two A's to the end of a string of length (n-2).

If a sequence ends in a B, it must have either been formed by appending one Bs to a string of length (n-1) ending in an A, or by appending two Bs to a string of length (n-2) ending in a B.

Thus, we get the recursions as follows -

\(a_n &= a_{n-2} + b_{n-2}\)

\(b_n &= a_{n-1} + b_{n-2}\)

By counting further, we find that \($a_1\)= 0, \(b_1\) = 1, \(a_2\) = 1, \(b_2\) = 0.

Similarly, we will get the following table -

Therefore, the number of such strings of length 14 is \($a_{14} + b_{14}\) = 80 + 92 = 172.

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