Find the work done by the force field f(x, y, z) = x − y2, y − z2, z − x2 on a particle that moves along the line segment from (0, 0, 1) to (2, 1, 0).

Answer:

the answer is a

Step-by-step explanation:

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50% of 44 is greater than 100 but less than 150 because the value of 250% of 44 is 110 after applying the concept of the percentage.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

250% of 44

Let x be the 250% of 44:

The value of x can be found as follows:

x = (250/100)44

x = 2.5(44)

x = 110

110 > 100

110 < 150

Or

100 < 110 < 150

Thus, 50% of 44 is greater than 100 but less than 150 because the value of 250% of 44 is 110 after applying the concept of the percentage.

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As per linear equation, total price is directly proportional to the number of tickets I buy.

A linear equation is an equation that has the highest power of the variable as 1.

Given, a movie theater charges $10.50 per ticket and $5 per bucket of popcorn.

I never buy the popcorn because I think it's too expensive.

Let, I buy 'n' number of tickets.

Therefore, the total price for the tickets is

[tex]P = 10.50n[/tex]

⇒ P∝ n

Therefore, total price is directly proportional to the number of tickets I buy.

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Answer:

0.0001042

Step-by-step explanation:

You need to keep all the digits (unless you're told to round your answer).

Using the Pythagorean theorem: After applying the theorem, the hypotenuse, which represents the distance between the two points, is approximately 6.1 miles when rounded to the nearest tenth of a mile.

To solve the problem of determining the distance from Frostburg Mall to Sojourner Truth Park, we can employ the Pythagorean theorem, which is used to find the length of the hypotenuse of a right-angled triangle.

Given that the mall is located 3 miles west and 4 miles south of the City Center, while the park is 3 miles east and 5 miles north, we can calculate the total east-west distance and the total north-south distance.

First, we add the east-west distances: 3 miles west of City Center to Mall plus 3 miles east from City Center to Park, which equals 6 miles in total.

Next, we calculate the north-south distance: 5 miles north from City Center to Park minus 4 miles south from City Center to Mall, resulting in 1 mile to the north.

We now have a right triangle where one leg is 6 miles and the other leg is 1 mile. Applying the Pythagorean theorem (a² + b² = c²), where 'a' and 'b' are the legs and 'c' is the hypotenuse:

c² = 6² + 1²
c² = 36 + 1
c² = 37

Finding the square root of 37, c ≈ 6.08 miles.

Therefore, the distance from the Frostburg Mall to the Sojourner Truth Park is approximately 6.1 miles to the nearest tenth.

Answer:

5∧5

Step-by-step explanation:

It will take approximately 50 days for the frog population to reach 150 frogs.

To find out how long it will take for the frog population to reach 150, we need to determine how many times the population needs to triple to reach that number. We start with 21 frogs and want to reach 150, so we need to triple the population 150 divided by 21, which is approximately 7.14, times. Since the population triples every 7 days, it will take approximately 7.14 times 7, or 50 days, for the population to reach 150 frogs.

The amount of Janet's interest cost from a loan of $50,000 at an interest rate of 8% from March 19 to July 8, 2015 is $1,160. The calculation is done using the simple interest formula, with time approximated as 0.29 years.

The problem asking for the simple interest incurred on a loan taken by Janet can be solved using the formula of simple interest, which is I=PRT in financial mathematics. I is interest, P is the principal amount (initial loan), R is the interest rate, and T is the time.

Substituting these values into the formula, we get:

I = 50000 * 0.08 * 0.29

Calculating this out will give you the total interest, $1160.

So, the amount of Janet's interest cost is $1,160.

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Answer:

D. Place the point of the compass on point Y and draw an arc that intersects YZ¯¯¯¯¯ , using XY as the width of the opening of the compass.

Step-by-step explanation:

All sides of a square has to be equal.

Here it is given that X an Y are 2 of the vertices of the square. We can say that XY is the length of one side of the square.

So e should make sure that a length of the square on the YZ line is same as the XY line.

So,

Place the point of the compass on point Y and draw an arc that intersects YZ¯¯¯¯¯ , using XY as the width of the opening of the compass.

Answer:

D. Place the point of the compass on point Y and draw an arc that intersects YZ¯¯¯¯¯ , using XY as the width of the opening of the compass.

Step-by-step explanation:

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Final answer:

The probability of drawing an odd number between 24 and 33 is 50%, as there are 5 odd numbers (25, 27, 29, 31, 33) within the 10 numbers in this range.

Explanation:

The probability of randomly drawing an odd number between 24 and 33 is calculated by identifying all the odd numbers in that range and dividing by the total number of possibilities.

The odd numbers between 24 and 33 are 25, 27, 29, 31, and 33. Since there are 10 total numbers (24 through 33), and 5 of these are odd, the probability is 5 out of 10, which simplifies to ½ or 50%.

Answer: 48

Step-by-step explanation:

Do 12 divided by 1.5 = 8

8 * 6 = 48

so 48 is your answer

:3

For a 95% confidence interval with ±0.0001 margin of error, sample size[tex]\( n \approx 385 \)[/tex] measurements are needed.

To determine the sample size [tex]\( n \)[/tex] needed to achieve a margin of error of [tex]\( \pm 0.0001 \)[/tex] for a 95% confidence interval for the mean [tex]\( \mu \)[/tex], we can use the formula for the margin of error of a confidence interval:

[tex]\[\text{Margin of Error} = Z \times \frac{\sigma}{\sqrt{n}}\][/tex]

Where:

[tex]- \( Z \) is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to \( Z = 1.96 \)).\\- \( \sigma \) is the standard deviation of the measurements (given as \( 0.001 \) g).\\- \( n \) is the sample size.[/tex]

Given that the margin of error [tex](\( \text{MOE} \)) is \( 0.0001 \)[/tex], we can rearrange the formula to solve for \( n \):

[tex]\[n = \left(\frac{Z \times \sigma}{\text{MOE}}\right)^2\][/tex]

Substituting the given values:

[tex]\[n = \left(\frac{1.96 \times 0.001}{0.0001}\right)^2\]\[n = \left(\frac{0.00196}{0.0001}\right)^2\]\[n = \left(19.6\right)^2\]\[n = 384.16\][/tex]

Since [tex]\( n \)[/tex] must be a whole number (you can't have a fraction of a measurement), we round up to the nearest whole number. So, [tex]\( n = 385 \).[/tex]

Therefore, you would need to take at least 385 measurements to ensure that the margin of error for the 95% confidence interval of the mean [tex]\( \mu \) is \( \pm 0.0001 \) g.[/tex]

The expression equivalent to 11 - 9(-2x - 3) is 18x + 38 after applying the distributive property and rules for multiplying numbers with different signs. This corresponds to option A.

To find which expression is equivalent to 11 − 9(−2x − 3), we need to apply the distributive property and the rules for multiplying numbers with different signs. The distributive property tells us to multiply the number outside the parentheses by each term inside the parentheses. So, let’s apply this to the expression:

Therefore, the expression equivalent to 11 − 9(−2x − 3) is 18x + 38, which corresponds to option A.

Answer:

[tex](x-12)[/tex] is a factor

Step-by-step explanation:

[tex]x^2-14x+24[/tex]

The product is 24 and sum is  [tex]-14[/tex]

To factor it we need to find out two factors whose product is 24 and sum is  [tex]-14[/tex]

[tex]-12 \cdot -2= 24[/tex]

[tex]-12 +(-2)= -14[/tex]

Two factors are [tex]-12 , -2[/tex]

[tex]x^2-14x+24[/tex]

[tex](x-12)(x-2)[/tex]

[tex](x-12)[/tex] is a factor

The expression p(11,7) is evaluated by calculating the permutation of 11 items taken 7 at a time, resulting in a value of 55440.

The expression p(11,7) is a notation used in mathematics to represent a permutation.

To evaluate the permutation p(n, k), where n is the total number of items and k is the number of items to be arranged, we use the formula n! / (n-k)!.

Let's calculate the permutation for p(11, 7):

First, we find the factorial of 11, which is 11!, or 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1.

Then, we find the factorial of (11-7), which is 4!, or 4 x 3 x 2 x 1.

The permutation is calculated as follows:

p(11, 7) = 11! / 4!

After cancelling out the common terms in the numerator and the denominator, we have:

p(11, 7) = 11 x 10 x 9 x 8 x 7, which is equal to 55440.

Therefore, the value of the expression p(11,7) is 55440.

Answer:.344 if you have to round to the third decimal

Step-by-step explanation: