In three-space, find the distance between the skew lines: [x, y, z)= [1.-1. 1] + [3, 0, 4] and [x, y, z]= [1, 0, 1] + [3, 0, -1]. Express your answer to two decimals.

Answer:

A

Step-by-step explanation:

Range = Highest value - Lowest value

At Park Zoo:

R = 44 - 38

= 6

At Countryside Zoo;

R = 45 - 38

= 7

So, it cannot be D, because the ranges are not the same and it cannot be B because the range is greater at countryside zoo

The mode is the value that appears the moat frequently.

At Park zoo, the mode is 41 since it has the most dots.

At Countryside zoo, the mode is 40, since it has the most dots

So, it cannot be C because Park zoo has a greater Mode.

so, the only answer is A

Answer:

C) $2.15

Step-by-step explanation:

                           $10.00

                        -  $_7.85

                           $ 2.15    

Answer: 4

Step-by-step explanation:

Answer:

4 fish

Step-by-step explanation:

Judy and Marie have 10\(\frac{1}{6}\) fabrics altogether.

In Mathematics, Altogether means to add

Since Judy has 4 2/3 yards of fabric  and Marie has 5 1/2 yards of fabric ,

Altogether, the will have  4 2/3+  5 1/2

We add whole numbers to whole numbers and fractions to fractions

(4 +  5) + 2/3+ 1/2

=9 +  2/3+ 1/2

9 \(\frac{4+3}{6}\)

9 7/6    (7/6=1 1/6)

9+1 1/6

=10  1/6

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Step-by-step explanation and Answer

Since the interest rate is 5%, and the first loan was borrowed on May 1, we can calculate the interest on the first loan by using the formula:

Interest = Principal x Rate x Time

In this case, the principal is 2000, the rate is 5% (expressed as a decimal), and the time is (September 24 - May 1) = 4.5 months

So, Interest = 2000 x 0.05 x 4.5/12 = 50

The same applies to the second loan of 1000, so the interest on this loan is:

Interest = 1000 x 0.05 x (4.5/12) = 25

To find the total amount returned, we add the interest on both loans to the total principal borrowed:

total = 2000 + 1000 + 50 + 25 = 3075

Therefore, the total amount returned is Ks 3075

Answer:

Step-by-step explanation:

dang this one is hard lol

Answer:

Not for sure

Step-by-step explanation:

Answer:

\(\displaystyle =\frac{0.5\text{ ft}}{\text{day}}\)

The weed grows at a rate of 0.5 feet per day.

Step-by-step explanation:

The weed grows at a rate of 0.25 inches per hour.

And we want to convert this rate into feet per day.

We have that:

\(\displaystyle \frac{0.25\text{ in}}{\text{hr}}\)

We knowt that there are 12 inches in one foot.

And since we want to cancel the inches, we can write our conversion factor as ft / 12 in.

We also know that there are 24 hours in one day.

And since we want to cancel the hours, we can write our conversion factor as 24 hr / day.

Hence:

\(\displaystyle \frac{0.25\text{ in}}{\text{hr}}\cdot\frac{\text{ft}}{12\text{ in}}\cdot \frac{24\text{ hr}}{\text{day}}\)

Multiply and cancel common terms. So:

\(\displaystyle =\frac{0.5\text{ ft}}{\text{day}}\)

The weed grows at a rate of 0.5 feet per day.

Answer:

1,791,972

Step-by-step explanation:

234x7658=1,791,972

hope this helps

Answer:

\(|RS| = \sqrt[3]{19}\)

Step-by-step explanation:

The computation of the magnitude is shown below:

Data provided in the question

Given points

R(3,7,-1), S(10,-4,0)

Now the distance lies between R and S

RS = (10 ,-4, 0) - ( 3 ,7, -1 )

     = (10 - 3, -4 - 7, 0 - (- 1))

     = (7, - 11, 1 )

After that, the magnitude is determined by using the following calculation part

\(|RS| = \sqrt{(7)^2 + (-11)^2 + (1)^2} \\\\ = \sqrt{49 + 121 + 1} \\\\ = \sqrt{121}\\\\ = \sqrt[3]{19}\)

Answer:

The area of a trapezoid is

A = (1/2) h (b1 + b2)

where

h is the height

b1 is length of base 1

b2 is the length of base 2

Step-by-step explanation:

1 45/47 would be 47/46.

Answer:

The answer is 1 45/47 would be 47/46.

Step-by-step explanation:

Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

Answer:

d=3

Step-by-step explanation:

.......................

Answer: 2

Step-by-step explanation:

3.5d + 8.25 = 3 + 5.25d

-1.75d = -5.25

       d = 3

To be continuous at x=0, you need three things:

1. f(0) must be defined

2. limit as x –> 0 must exist

3. f(0) = limit as x –> 0

f(0) in this case is the following:

    \(f(0) = k + 2 \ln(0+e^{0+1}) = k + 2 \ln(e) = k + 2\)

We have to pause on this, since this by itself cannot give us the value of k.

For the limit, you need to make sure the limit from the left matches the limit from the right.

    \(\lim\limits_{x\to 0^+} k+2\ln(x+e^{x+1}) = k+2\)

    \(\lim\limits_{x\to 0^-} \frac{\sin(7x)}{2x} =\frac{7}{2}\)

The only way this limit can exist is if \(k+2 = \dfrac{7}{2}\), which means \(k = \dfrac{3}{2}\).

Using that k-value also allows f(0) = 7/2, which makes your function continuous.  

If you need to know how to make that second limit work out to 7/2, there are two steps to take.  

The first is to bring the 1/2 out front, since it's a constant factor inside the limit.

    \(\lim\limits_{x\to 0^-} \frac{\sin(7x)}{2x} =\frac{1}{2}\cdot\lim\limits_{x\to 0^-} \frac{\sin(7x)}{x}\)

The second is to manipulate the what you're taking the limit of to turn it into a "sin(u)/u" situation.  To do this, we'll multiply by 7/7 inside the limit:

    \(\frac{1}{2}\cdot\lim\limits_{x\to 0^-} \frac{\sin(7x)}{x}=\frac{1}{2}\cdot\lim\limits_{x\to 0^-} \frac{{\boldsymbol7\cdot{}}\sin(7x)}{{\boldsymbol7\cdot{}}x}\)

We'll then factor out the 7 in the numerator like we did with the 1/2:

    \(=\frac{7}{2}\cdot\lim\limits_{x\to 0^-} \frac{\sin(7x)}{7x}\)

And now with a quick u-substitution, we'll let u = 7x and x->0 is the same as u->0, we have

    \(=\frac{7}{2}\cdot\lim\limits_{u\to 0^-} \frac{\sin(u)}{u}\)

This is useful because a good limit to know in calculus is that \(\lim\limits_{u\to 0} \frac{\sin(u)}{u}=1\).

For an electric network with three switches ( two are in series and one in parallel), the probability that the system is working is equal to the 0.644 or 64.4 %.

We have, an electric network has 3 switches aligned as present in above figure. Switches present in upper side in network or in series are switch 1 and switch 2 and switch present in parallel is switch 3. The probability that one out of three is turn on = 60% = 0.60

We have to determine probability that the system is working. System is working when all switches are on. Letvus consider the events,

A = Switch 1 is turn on

B = Switch 2 is turn on

C= Switch 3 is turn on

Now, probability that switch 1 is turn on P( A) = 0.60

Probability that switch 2 is turn on P( B)

= 0.60

Probability that switch 3 is turn on P(C)

= 0.60

We know if two events A and B are independent then, we have P(A∩B) = P(A) × P(B)

Here, Switch 1 and switch 2 are independent so, P( A∩B) =0.60 × 0.60

= 0.36

Probability that the system is working =

[(switch 3 is turn on ) or (switch 1 is turn on and switch 2 is turn on)]

= P( C∪( A∩B))

= P(C) + P(A∩B ) - P ( C∩ (A∩B))

= 0.60 + 0.36 - P(C) × P(A∩B)

= 0.96 - 0.6 × 0.36

= 0.96 - 0.216

= 0.644

Hence, required probability is 0.644.

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Complete question:

the above figure completes the question.

an electric network has 3 switches aligned as shown in figure 1 and the probability that one of them is turned on is 60%, independently of the status of the other switches. what is the probability that the system is working? 8 points per problems

Answer:

8)

9)

10)

11)

Answer:

A. 3.99b+1.50c

B. 119.70+180= $299.70

C. (3.99b×0.07)+(1.50c×0.07)

Answer:

h = -3/8

Step-by-step explanation:

-3/4 - h + 1/3h - 2 = -4/3h -3

combine like terms

-2 = -8/4

-3 = -12/4

-2/3h - 11/4 = -4/3h -12/4

2/3h - 11/4 = -12/4

2/3h = -1/4

8/12h = -3/12

8h = -3

h = -3/8

The additional information that would have to be true for the parallelogram to also be a rhombus is D. Opposite angles congruent

All rhombuses are parallelograms, but not all parallelograms are rhombuses. In a rhombus, all four sides are equal and the diagonals intersect at 90 degrees. In a parallelogram, the opposite sides are equal and the diagonals bisect each other.

Because its sides are parallel to one another, a rhombus can also be referred to as a particular kind of parallelogram. 360° is the total number of angles in a rhombus. Angles on either side of one another are equal, and adjacent angles are supplementary angles.

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Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

On solving the provided question, we can say that  Garfield needs 1,296 cubic inches of litter to fill his litter box.

Geometrically speaking, a cuboid is a solid or three-dimensional shape. With 8 vertices, 12 sides, and 6 rectangular faces, a cuboid is a convex polyhedron. A cuboid is a different name for it. With six square faces, a ti i cube is a cuboid. Bricks and books are examples of objects found in boxes. These are the main differences between cubic and cubic: The faces of a cube are square and equal in size, as opposed to a cube's rectangular faces. Although the structures of the cube and cuboid are visually similar, they differ in important respects, particularly with regard to side length, diagonal, and area.

Volume = length x width x height

Volume = 12 inches x 18 inches x 6 inches

Volume = 1,296 cubic inches

Therefore, Garfield needs 1,296 cubic inches of litter to fill his litter box.

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Answer:

31

Step-by-step explanation:

The mean of the sample = 62The standard deviation of the sample = 10.5The percentage of observations that are between 41 and 83 is a minimum of 100%.

Since the data set has an extremely skewed histogram, the distribution may not be normal. However, for the purpose of this solution, we will assume that the distribution is normal.The minimum percentage of observations that are between 41 and 83 can be calculated as follows:First, we need to find the z-scores for 41 and 83 using the formula:z = (x - μ)/σwhere x is the observation, μ is the population mean, and σ is the population standard deviation. Since we have a sample, we will use the sample mean and standard deviation instead of the population values.z for 41 = (41 - 62)/10.5 = -2z for 83 = (83 - 62)/10.5 = 2

The area between -2 and 2 on a standard normal distribution is 0.9545 or approximately 95%. Since the distribution may not be normal, the percentage of observations that are between 41 and 83 may be higher or lower than 95%. Therefore, the minimum percentage of observations that are between 41 and 83 is 100%.

Summary:The minimum percentage of observations that are between 41 and 83 is a minimum of 100%.

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Using Newton's method, the positive root of f(x) = 9x^4 – 18x^2 – 11 is approximately x = 1.4142, and the negative root is approximately x = -1.4142.

To find the roots using Python code, we can implement Newton's method iteratively. Starting with an initial guess x0, the algorithm iterates until it converges to a root. Here's the step-by-step explanation:

1. Define the function f(x) = 9x^4 - 18x^2 - 11.

2. Define the derivative of f(x) as f_prime(x) = 36x^3 - 36x.

3. Implement the Newton's method iteration in a loop:

  a. Set an initial guess x0.

  b. Calculate the next approximation using the formula: x1 = x0 - f(x0) / f_prime(x0).

  c. Update x0 with x1.

  d. Repeat steps b and c until the desired level of convergence is reached.

4. Start the Newton's method iterations with positive and negative initial guesses in different intervals [c, d] and observe the behavior:

  a. If the iterations converge to the positive root, the interval [c, d] is an interval of positive initial guesses that leads to convergence to the positive root.

  b. If the iterations converge to the negative root, the interval [c, d] is an interval of positive initial guesses that leads to convergence to the negative root.

  c. If the iterations do not converge or diverge, the interval [c, d] is an interval where Newton's method is defined but does not converge to any root.

By experimenting with different intervals [c, d] and observing the behavior of the iterations, you can determine the intervals that satisfy each case.

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Answer:

The answer is 33,710 euros.

Step-by-step explanation:

Start by multiplying 45,550 by 6%. This will give 2,730. over the next three years the price decreases, so multiply 2,730 by 3, which is 8,190. Finally, subtract 45,550 by 8,190 to get 33,710.

a. Brand U will be $1,051.92 cheaper than Brand V. Option A is the correct answer to the given question.

To calculate the lifetime cost of each oven, we need to consider the initial purchase price, daily electricity costs, and lifespan. For Brand U, the lifetime cost would be:

Lifetime cost = Price + (Avg. Cost/Day × 365 days × Lifespan)

= $2,250 + ($0.16 × 365 × 24)

= $4,013.60.

For Brand V, assuming two repurchases to equalize the lifespan, the lifetime cost would be: Lifetime cost = Price + (Avg. Cost/Day × 365 days × Lifespan × 3)

= $725 × 3 + ($0.28 × 365 × 8 × 3)

= $3,961.68.

Therefore, Brand U will have a lower lifetime cost than Brand V by $1,051.92 (option a).

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Complete Question

Pam has just moved into a new home and wants to purchase an oven. She expects to live in this house for the foreseeable

future. She has narrowed her choices down to two options. Consider the following table, which describes the prices, daily

electricity costs, and lifespans of the two ovens she is considering: T Brand Price Avg. $2,250  Cost/Day $0.16 Lifespan Brand U 24 years Brand V $725 $0.28 8 years

Which brand will have the lower lifetime cost, and how much lower will it be?

Hints: If the product's expected lifespans differ, assume that repurchase(s) at the same price is possible to equalize the

lifespans. Remember that six of the twenty-four years will be leap years, and round all dollar values to the nearest cent.

a. Brand U will be $1,051.92 cheaper than Brand V.

b. Brand U will be $976.92 cheaper than Brand V.

C. Brand V will be $75 cheaper than Brand U.

Answer:

Its actually B, (Brand U will be $976.92 cheaper than Brand V).

Step-by-step explanation:

trust

Answer: 2(27+16)

Step-by-step explanation: