If x = 3-2√2 ,then find the value of x2 – 1/x2

Answer:

3 hours walking dogs and 5 hours landscaping

Step-by-step explanation:

Answer 65$ 5 hours landscaping     18$ 3 hours walking dogs

Step-by-step explanation:

Answer:

4 days in total

Step-by-step explanation:

Answer:4 days

Total=375

150+(75×4)=150+75+75+75=375

4 days

Step-by-step explanation:

Answer:

The right answer is: Option C: x+5

Step-by-step explanation:

Let m1 be the miles Lukas drove on Saturday and Let m2 be the miles he drove on Sunday

\(m_1 = 4x-5\\m_2 = 3x-10\)

The difference can be found out by subtracting m2 from m1

minus sign will be distributed into the bracket and alike terms will be added or subtracted according to sign.

\(m_1 - m_2 = 4x-5 - (3x-10)\\= 4x-5-3x+10\\= x+5\)

The difference of miles driven is: x+5

Hence,

The right answer is: Option C: x+5

Answer:

Of the given options, "an engine" is the most reasonable abstraction for a car.

An engine is a fundamental component of a car that powers its movement, and it is present in almost all cars. The number of miles driven and the driving car color are characteristics of a specific car rather than abstractions of a car itself. For example, a car can still be considered a car even if it has not been driven any miles yet or if it has no color at all.

Therefore, an engine is a more reasonable abstraction for a car as it captures an essential feature of a car that is present in all cars.

The solution is, D. Driving, a reasonable abstraction for a car includes. Driving is an action or behavior associated with a car, as it involves operating or using the car to travel from one place to another. It is an essential aspect of the car's purpose and function.

Here, we have,

we know that,

An engine is a machine designed to convert fuel into mechanical energy that can be used to power other machines or devices. In the context of automobiles, an engine is the primary source of power that drives the vehicle. It typically operates by burning fuel in a combustion chamber to generate high-pressure gases that drive a piston, which in turn rotates a crankshaft that ultimately powers the car's wheels.

Car color and number of miles driven are characteristics or properties of a car, while an engine is a component that helps to power the car. Driving, on the other hand, is an action or behavior associated with a car, as it refers to the act of operating or using the car to travel from one place to another.

Therefore, driving is a reasonable abstraction for a car, as it captures an essential aspect of the car's purpose and function.

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Answer:

\(x=34^\circ\)

Step-by-step explanation:

Complementary angles sum up to \(90^\circ\).

\(90-22=2x\\\\x=34^\circ\)

Best Regards!

Given that the angles are complementary,means there sum is 90 degrees...

So,we get

\( = 22 + 2x = 90 \\ = 2x = 68 \\ = x = 34\)

Here's X=34

So your angles are 68 degrees and 22 degrees....

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Given the figure of a circle

As shown the radius of the circle = r = 5 ft

so, the answer will be:

Area = 78.5 ft^2

Circumference = 31.4 ft

Answer:  275 tires

Step-by-step explanation:

0.60X = 165  [One salesman sold 60% of the tires sold.  X is the tires total sold]

X = 275 tires

Answer:112

Step-by-step explanation: 1/4 divided by 28/1 = 1/112

Answer:

112 and very light

Step-by-step explanation:

The characteristics of the two groups might not be roughly equivalent because the students were not labeled and number wasn't given.

This is the process which involves combining different parts in other to form a whole.

The student were not labeled and number wasn't given to place them in one of the groups will best describe their roughly equivalent composition hence option C was chosen.

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Answer:

7,750 ways

Step-by-step explanation:

To determine the number of ways that 2 people can be chosen to receive the free tickets, we need to use combinations because the order of the selection does not matter.

The number of ways to choose 2 people out of 125 can be calculated using the combination formula:

n C r = n! / (r! * (n-r)!)

where n is the total number of people, and r is the number of people we want to choose.

In this case, n = 125 and r = 2, so we have:

125 C 2 = 125! / (2! * (125-2)!)

= 125! / (2! * 123!)

= (125 * 124) / 2

= 7750

Therefore, there are 7,750 ways that 2 people can be chosen to receive the free tickets.

Answer:

4 :)

Step-by-step explanation:

Answer:

2+2 is 4

Step-by-step explanation:

t's just words and symbols we use to explain things. ... It's just symbols we use to represent one plus one equaling two.

Answer:

Step-by-step explanation:

1.8c + 10d + 9

Answer:

It will be graph 1

Hope this helps you

Answer:

Daniel office is located 20 miles from his house and it took Daniel 25 minutes to drive that distance.

Step-by-step explanation:

Since the graph shows the distance from his house to his office as a function of driving time, then when the driving time is equal to "0", it means that he didn't left his house yet and that is the distance from his house to his office. On the graph this is the point that crosses the "y" axis, 20 miles. When he arrives at his office, then the distance is equal to "0", since he already arrived at his destination. This happens when the graph crosses the "x" axis, which happens on the 25 min mark. So:

Daniel office is located 20 miles from his house and it took Daniel 25 minutes to drive that distance.

Answer:

A) 39

B) 900

C) 60%

A) proportion:

21.84 is 56% of x number

x number = 100%

If you want to calculate x you can use proportion. First of all make this kind of system..

x - 100%

21.84 - 56%

Then multiply numbers diagonally.

56x = 2184

Finally solve x

x = 2184/56

x = 39

The probability that the mean of a sample of 45 boards will be between 94.5 inches and 95.1 inches, given that the length of timber cuts are normally distributed with a mean of 95 inches and a standard deviation of 0.52 inches, can be calculated using the Central Limit Theorem. The theorem states that the distribution of sample means will be approximately normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In this case, the population mean (μ) is 95 inches, the population standard deviation (σ) is 0.52 inches, and the sample size (n) is 45. The standard deviation of the sample mean is σ/√n = 0.52/√45 ≈ 0.0775.

To find the probability, we can use the Z-score formula:

Z = (X - μ) / (σ/√n)

For the lower limit of 94.5 inches, the Z-score is:

Z1 = (94.5 - 95) / 0.0775 ≈ -6.45

For the upper limit of 95.1 inches, the Z-score is:

Z2 = (95.1 - 95) / 0.0775 ≈ 1.29

Now, using a Z-table or calculator, find the probability for each Z-score:

P(Z1) ≈ 0 (since it is a very low Z-score)
P(Z2) ≈ 0.9015

The probability that the mean of the sample will be between 94.5 inches and 95.1 inches is the difference between these probabilities:

P(94.5 < X < 95.1) = P(Z2) - P(Z1) = 0.9015 - 0 ≈ 0.9015, or approximately 90.15%.

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Therefore, the dimensions of the largest area he can enclose are 749 yards by 1498 yards with an area of 1,121,502 square yards.

Let the length of the rectangular grazing land be x and the width be y. Then we know that the total amount of fencing used is given by:

2x + y = 2996

We want to maximize the area A of the grazing land, which is given by:

A = xy

We can solve the first equation for y:

y = 2996 - 2x

and substitute into the equation for A:

A = x(2996 - 2x)

Expanding the equation, we get:

A = 2996x - 2x^2

To find the maximum value of A, we take the derivative and set it equal to zero:

dA/dx = 2996 - 4x = 0

Solving for x, we get:

x = 749

Substituting this value back into the equation for y, we get:

y = 1498

Therefore, the dimensions of the largest area he can enclose are 749 yards by 1498 yards. The area is:

A = xy = 749 * 1498 = 1,121,502 square yards.

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The simplified form of the function is 3/2 [\(x^{5} - 1/x^{5}\)] .

Given,

f(x) = 3sinh(5lnx)

Now,

sinhx = \(e^{x} - e^{-x} / 2\)

Substituting the values,

= 3sinh(5lnx)

= 3[ \(e^{5lnx} - e^{-5lnx}/2\) ]

Further simplifying,

=3 \([e^{lnx^5} - e^{lnx^{-5} } ]/ 2\)

= 3[\(x^{5} - x^{-5}/2\)]

= 3/2[\(x^{5} - x^{-5}\)]

= 3/2 [\(x^{5} - 1/x^{5}\)]

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Complete question :

f(x) = 3sinh(5lnx)

The general form of an equation in slope intercept form is ;

y= mx + c where m is the gradient and c is the y-intercept

The equation given is : y = -9x-81 ------this means the slope is -9

This is determined from the general equation ;

y = m x + c

y= -9 x - 81

where -9 is the gradient

Because the two lines are parallel, it means the other equation should have a slope of -9, thus apply the formula for slope give point {-2,-8}

m= change in y-coordinates value / change in x coordinate values

-9 = y --8/x--2

-9 = y+8 /x+2

-9 {x+2} = y+8

The mean number of hazelnuts in company c's packages is 93.5 and the mean number of hazelnuts in company d's packages is 95.9. Additionally, the standard deviation of hazelnuts in company c's packages is 2.4 and the standard deviation of hazelnuts in company d's packages is 2.9.

The mean number of hazelnuts in company c's packages is _____ and the mean number of hazelnuts in company d's packages is _____. Additionally, the standard deviation of hazelnuts in company c's packages is _____ and the standard deviation of hazelnuts in company d's packages is _____.

The mean number of hazelnuts in company c's packages is 93.5 and the mean number of hazelnuts in company d's packages is 95.9. Additionally, the standard deviation of hazelnuts in company c's packages is 2.4 and the standard deviation of hazelnuts in company d's packages is 2.9. These values indicate that on average, company d's packages contain more hazelnuts than company c's packages. However, there is also more variability in the number of hazelnuts in company d's packages, as indicated by the larger standard deviation. This means that there is a greater chance of receiving a package with an unusually high or low number of hazelnuts from company d compared to company c. It is important for consumers to be aware of these differences when making purchasing decisions and to consider their individual preferences for consistency versus quantity.
Company C and Company D both produce packages of hazelnuts, with their respective distributions being normally distributed. For Company C, the mean number of individual hazelnuts in a package is 93.5, and the standard deviation is 2.4. This implies that, on average, each package from Company C contains 93.5 hazelnuts, with the majority of packages having a count between 91.1 and 95.9 hazelnuts (i.e., within one standard deviation).

On the other hand, Company D's packages have a mean of 95.9 individual hazelnuts, with a standard deviation of 2.9. Therefore, the average number of hazelnuts in a package from Company D is higher than that of Company C. Most packages from Company D will have a count between 93.0 and 98.8 hazelnuts, which is within one standard deviation from the mean.

In comparing the two companies, it is evident that Company D produces packages with a greater average number of hazelnuts. Additionally, the standard deviation for Company D is larger than that of Company C, indicating that there is more variability in the number of hazelnuts per package for Company D. When choosing between the two companies, customers who prioritize a higher average hazelnut count may prefer Company D, while those who value consistency in package contents might lean towards Company C.

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The given differential equation is y(8x + y + 8)dx + (8x + 2y)dy = 0.

To solve this equation, we can use the integrating factor method. First, we identify the coefficients of dx and dy, which are y(8x + y + 8) and (8x + 2y), respectively. Then, we compare the equation with the standard form of a first-order linear differential equation, which is M(x, y)dx + N(x, y)dy = 0.

In our equation, M(x, y) = y(8x + y + 8) and N(x, y) = (8x + 2y). We can see that the coefficient of dy is not a function of x only, so we need to find an integrating factor.

The integrating factor (IF) can be found by multiplying both sides of the equation by the appropriate function. In this case, the integrating factor is \(e^{(f(N - M)/N dx).\)

By substituting the given values of M(x, y) and N(x, y) into the formula for the integrating factor, we can calculate the integrating factor and proceed with solving the differential equation.

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Answer:

C.

Step-by-step explanation:

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-5√3  - 11 is value of expression.

What do math Surds mean?

( 2 + √3) (√3 - 7)

First = 2√3

outer = 2(-7) = -14

inner = √3 √3 = 3

last = √3 (- 7)

= 2√3 + (- 14) + 3 + ( - 7√3)

= -5√3  - 11

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The coefficient of determination for a linear regression model fitting with bivariate dataset ( scatterpot present in above figure) is equals to the 90.097.

When we study about linear regressions, usually analyze two coefficients that help us to know about the quality of the regression model and strength of linear relationship between the variables. One is called the coefficient of determination, denoted by R². Consequently, by observing a scatter plot, we can estimate the value of these coefficients. We have a scatterpot for a linear model fitting of the bivariate dataset is present in above figure. Coefficient of determination is always positive. When data are very closely arranged along a approximate line, then coefficient of determination is more near to 1 (In percentage it is 100). Here points are almost closely arranged . So percentage should be near to 100. So possible answer is 90.097. Hence, the answer is 90.097.

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Complete question :

The above figure complete the question.

What is the coefficient of determination for a linear model fitting the following bivariate dataset?

Answer:

The correct answer is B

Step-by-step explanation:

zzzz

Answer:

9/2 or 4 1/2

Step-by-step explanation:

Therefore, the answer is 9/2 or 4 1/2.

Answer: 3

Step-by-step explanation:

3/4 ÷ 1/6

3/4 × 6/1

Divide 4 and 6 by 2

3/2 × 3/1

3 × 3 / 2 × 1

6 / 2 = 3