Find the work done by a person weighing 190 lb walking exactly half revolution(s) up a circular, spiral staircase of radius 4 ft if the person rises 14 ft after one revolution. Round to 1 decimal place, if necessary. Work ____ ft-lb

Answer:

The answer is A

Step-by-step explanation:

Trust me bro

The inequality equation is mathematically given as |x + 2| < 3. Then the correct option is A.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

The value of x is greater than negative five and less than one that can be represented as

-5 < x < 1

Add 2 on each side, then we have

-3 < x + 2 < 3

Then operate the mode function, then we have

|x + 2| < 3

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Answer:

3

Step-by-step explanation:

The actual prime factors of 60 are 2, 3, and 5.

Answer:

3

Step-by-step explanation:

prime fatorizations are 2, 3, and 5

Answer:

just a few feet (within 1 to 10)

Step-by-step explanation:

You cannot enter zero, since the city could be inundated with water, so include something between 1 or at most 10 feet.

TRUE. We can observe n coin flips, record each heads as 1, and each tails as 0. Then, sum up all of our 1s and 0s, divide by n (in other words, we calculate the sample mean), and we have just calculated the sample proportion p-hat. This is a method used to find the probability of an event.

The sample proportion is known as p-hat. The proportion of successes in the sample is denoted by the p-hat symbol. The sample proportion is a statistic that estimates the actual proportion of the population. The proportion of successes in a sample is referred to as the sample proportion.

When sample proportion represents a percentage, it is indicated as a percentage (x%). So, sample proportion p-hat is a statistical term that provides us with an estimate of the actual proportion of the population from the sample proportion.

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The equation to determine the length and width of the rug is

28 = w² + 12w

Since, the shape of the rug is rectangle, therefore area of rectangle has been used to obtain the solution.

What is a rectangle?

Rectangle is a flat, two-dimensional shape, having four sides and vertices with opposite sides being equal and parallel. We may easily represent a rectangle in an XY plane by using its length and breadth as the arms of the x and y axes, respectively.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

We are given a rectangular rug with an area of 28 square feet.

Also, the rug is 12 feet longer than it is wide.

So,

Let 'l' be the length of the rug and 'w' be the width of the rug

As given, Length is 12 feet longer than its width

Therefore, l = w + 12

We know Area of rectangle = Length * Width and area is given to be 28 square feet.

So,

⇒28 = (w + 12)w

⇒28 = w² + 12w

Hence, the equation to determine the length and width of the rug is

28 = w² + 12w.

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Question: Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet longer than it is wide.

Create an equation to determine the length and the width of the rug.

Answer:

x = 132

Step-by-step explanation:

The angles are supplementary so the add to 180 degrees

x+48 = 180

Subtract 48 from each side

x+48-48 = 180-48

x =132

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer:

5(m+n)

Step-by-step explanation:

The approximate values of the non-integral roots of the polynomial equation are -5.57, -1.95, 0.21, 1.27, and 4.73. These values represent the values at which the polynomial equation evaluates to zero, indicating the roots of the equation.

To find the roots of a polynomial equation, we set the equation equal to zero and solve for the unknown variable. In this case, we have a polynomial equation with non-integral roots.

To obtain the approximate values of these roots, numerical methods such as iterative methods or numerical approximation techniques can be used. These methods involve making educated guesses and refining the guesses until the equation evaluates to zero.

The resulting approximate values for the non-integral roots of the polynomial equation are -5.57, -1.95, 0.21, 1.27, and 4.73. These values are not exact, but they are close approximations to the actual roots of the equation.

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The least cοmmοn denοminatοr οf the fractiοn is 24.

Part οf a whοle is a fractiοn. The quantity is written as a quοtient in mathematics, where the numeratοr and denοminatοr are divided. Each is an integer in a simple fractiοn. Whether it is in the numeratοr οr denοminatοr, a cοmplex fractiοn cοntains a fractiοn. The numeratοr and denοminatοr οf a cοrrect fractiοn are οppοsite each οther.

Here the given fractiοn is \($\frac{11}{8}\ \text{and}\ \frac{7}{12}\).

We knοw that Least cοmmοn denοminatiοn οf the fractiοn is lοwest cοmmοn multiple. Then, factοrs οf the denοminatοr

8 = 2*2*2

12=2*2*3

Nοw LCD = 2*2*2*3 = 24.

Hence the least cοmmοn denοminatοr οf the fractiοn is 24.4.

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Answer

When simplified, the answer is

Explanation

[2/x² - 5x + 6] - [5/x - 2​]

To solve this, we need to first factorize x² - 5x + 6

x² - 5x + 6

= x² - 3x - 2x + 6

= x (x - 3) - 2 (x - 3)

= (x - 3) (x - 2)

So, we can rewrite the question, and then take an LCM

We will then take the LCM

Hope this Helps!!!

Answer:

$32.75 each ticket

Step-by-step explanation:

131 / 4 = $32.75 each ticket

Answer:

each ticket was $32.75

Step-by-step explanation:

You need to divide 131 by 4.

The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring, this statement is false.

The union of two or more sets refers to the set with all the elements belonging to each set. An element is said to be in the union if it lies to at least one of the sets.

The intersection of two or more sets refers to the set of elements universal to each set. An element is in the intersection if it occurs in all of the sets.

The event that both A and B occur is the intersection of the events A occurs and B occurs. As such, it is a subset of each and cannot, therefore, have a larger probability than either one individually.

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Answer:

3(x-3)+5(3x+4)

=18x+11

Answer:

18x+11

Step-by-step explanation:

All you have to do is add,subtract, and multiply

Answer:

15%

Step-by-step explanation:

The airplane’s original average speed from mississippi to california is 500 miles per hour.

Let the original average speed of the airplane from Mississippi to California be "s."

Let the distance between Mississippi and California be "d."

Then, we can say that the time taken by the airplane to fly from Mississippi to California = d/s.

Now, on the return trip from California to Mississippi, the airplane's average speed was reduced by 50 miles per hour. So, its new average speed is (s - 50) miles per hour.

We are also given that the resulting flight was 1/10 longer than the original flight. This means that the time taken by the airplane on the return trip = (11/10) times the time taken by the airplane on the original trip.

Using the formula, time = distance/speed, we get: (11/10) * (d / (s - 50)) = d/s

Simplifying the above equation, we get:11s = 21sd/((s - 50))

Simplifying the above equation, we get:11(s - 50) = 21s50 = s/10

Solving for s, we get s = 500 miles per hour.

Summary: An airplane flies from Mississippi to California at an average speed of s. On the return trip from California to Mississippi, the airplane's average speed is reduced by 50 miles per hour. We are given that the resulting flight was 1/10 longer than the original flight. By using the formula, time = distance/speed, and simplifying the equation, we get the original average speed of the airplane from Mississippi to California to be 500 miles per hour.

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The correct answer when writing 4,050,000 in scientific notation is 4.05 x 10^6.

When a number is too big or too tiny to be comfortably represented in decimal form, scientific notation is used to avoid having to write out an exceptionally long string of digits.

When writing 4,050,000 in scientific notation, certain commonly occurring errors can lead to incorrect results. These include forgetting to shift the decimal point leftwards until only one non-zero digit exists to its left; an elongated six-place movement is necessary here. '

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Step-by-step explanation:

\( \longmapsto \rm \dfrac{6m + 7}{3m + 2} = \dfrac{5}{4} \)

By cross multiplication,

→ 4(6m + 7) = 5(3m + 2)

→ 24m + 28 = 15m + 10

→ 24m - 15m = 10 - 28

→ 9m = -18

→ m = -18 ÷ 9

→ m = -2

Value of m is -2.

20 to 25 minutes Transcription occurs at a rate of 40 nucleotides per second.

Given,

In the question:

If transcription progresses at the rate of 40 nucleotides per second.

To find the how long it would take to transcribe a sequence that is 3. 6 x 104 bases long?

Why is a nucleotide necessary?

Nucleotides have a variety of roles in animal physiology, including those of energy storage, transporters of activated metabolites for biosynthesis, structural moieties of coenzymes, and metabolic regulators.

Give an example of nucleotides and describe them.

A nucleotide is the fundamental part of nucleic acids (RNA and DNA). A nucleotide is made up of a nitrogen-containing base, a phosphate group, and a sugar molecule (either ribose in RNA or deoxyribose in DNA). The nucleotides used in DNA are adenine (A), cytosine (C), guanine (G), and thymine (T).

Hence, 20 to 25 minutes Transcription occurs at a rate of 40 nucleotides per second.

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Step-by-step explanation:

a = 55° because angles on a straight line (around a single point on one side of the line) add up to 180°.

b = 75° because alternate angles (with parallel lines) are equal.

c = 50°, because alternate angles (with parallel lines) are equal.

d = 50°, because corresponding angles (with parallel lines) are equal.

If an auditorium has 20 rows of seats. there are 20 seats in the first row, 21 seats in the second row, 22 seats in the third row, and so on. then,  there are 39 seats present in the 17th row.

The given data is as follows:

Number of rows of seats = 20

Number of seats in the first row = 20

Number of seats in the second row = 21

Number of seats in the third row = 22 and so on.

Let's calculate the common difference between the seats,

common difference = 21-20 = 1 or 22-21 = 1

Therefore common difference = 1

Then the number of the seats in 17th row will be

The number of the seats = 20 + (20 - 1)* 1

The number of the seats= 39 seats.

Therefore, there are a total of 39 seats present in the 17th row.

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Answer:

816 square feet

Step-by-step explanation:

13(16+20+12) + 16(12) = 816

Answer:

-8x + 18

Step-by-step explanation:

simplified is -8x + 18

\(-8x + 18\)

that is the answer

Answer:

D.780.8

Step-by-step explanation:

multiply 244 and 3.2 and you get D. hope this helps.

Answer:

B (780 4/5)

Step-by-step explanation:

He’s buying 24 boxes, and each box weighs 3 1/5 pounds. So we need to multiply 24 x 3 1/5, resulting in 780 4/5

So sorry if I’m wrong. Have a good day!

~Louella Marie Smith♥️

a. The resultant magnetic field at point P due to currents in the two wires can be determined by vector addition of the individual magnetic fields.

b. Reversing the direction of currents in both wires would result in a reversed direction of the resultant magnetic field at point P.

a. To construct the vector diagram showing the direction of the resultant magnetic field at point P due to currents in the two wires, we can use the right-hand rule for determining the magnetic field direction around a wire carrying current.

For Wire 1, which has the current coming towards us (out of the plane of the paper), the magnetic field direction can be determined by wrapping the right-hand fingers around the wire in the direction of the current, and the thumb will point in the direction of the magnetic field. Let's say the direction of the magnetic field for Wire 1 is from left to right.

For Wire 2, which has the current going into the plane of the paper, we apply the right-hand rule again. Wrapping the right-hand fingers around the wire in the direction opposite to the current, the thumb will point in the direction of the magnetic field. Let's say the direction of the magnetic field for Wire 2 is from right to left.

At point P, which is equidistant from the two wires, the magnetic fields due to the currents in the wires will combine. The resultant magnetic field direction at point P can be found by vector addition. Drawing the vectors representing the magnetic fields for Wire 1 and Wire 2, with opposite directions, we can add them head-to-tail. The resultant vector will show the direction of the resultant magnetic field at point P.

b. If the currents in both wires were instead directed into the plane of the page (such that the current moved away from us), the directions of the magnetic fields due to the currents in the wires would be reversed compared to the previous case.

For Wire 1, the magnetic field direction would be from right to left, and for Wire 2, it would be from left to right. Following the same process as in part a, we would draw the vectors representing the magnetic fields for Wire 1 and Wire 2 in their respective reversed directions. Adding them head-to-tail would give us the resultant vector indicating the direction of the resultant magnetic field at point P in this scenario.

Complete Question:

Two wires lie perpendicular to the plane of the paper, and equal electric currents pass through the paper in the directions shown. Point P is equidistant from the two wires.

a. Construct a vector diagram showing the direction of the resultant magnetic field at point P due to currents in these two wires. Explain your reasoning.

b. If the currents in both wires were instead directed into the plane of the page (such that the current moved away from us), show the resultant magnetic field at point P.

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Answer: 3

Step-by-step explanation:

3 divided by 1 equals 3.

Answer:

(10,-10)

Step-by-step explanation:

The set of integers that are multiples of 10 is not finite, but rather infinite. An integer is a whole number that can be positive, negative, or zero and is not a fraction.

The integers that are multiples of 10 form a set that is countably infinite with one-to-one correspondence 1↔0, 2↔10, 3↔-10, 4↔20, 5↔-20, 6↔30, and so on. The integers that are multiples of 10 form a countably infinite set with a one-to-one correspondence to the set of positive integers. This can be seen from the given list of multiples: 1艹0, 2艹10, 3艹-10, 4艹20, 5艹-20, 6艹30, and so on. Each positive integer corresponds to a unique multiple of 10 and vice versa. Therefore, the set of integers that are multiples of 10 is not finite, but rather infinite.

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Answer:

a = 24

b = 37

Step-by-step explanation:

\(a = 45 - 21 = 24\)

\(b = 95 - 58= 37\)

Answer:

a = 24

b = 37

Step-by-step explanation:

the variable and number of people working/not working should add up to the total, and if you change that around to find your missing variable all you have to do is subtract the available number by the total so

45 - 21 = a

95 - 58 = b

Answer:

Yes, there is a relationship between.

Step-by-step explanation:

From the table, for people younger than 18 years, 317 use outdoor pool while 41 use indoor pool.

Thus;

% younger than 18 that use indoor pools = (41/(317 + 41)) × 100% = 11.45%

% younger than 18 that use indoor pools = (317/(317 + 41)) × 100% = 88.45%

So we can see that there is a relationship whereby the percentage of younger than 18 that use indoor pools is less than that of those that use outdoor poles.

In the same vein, by inspection, percentage of 18 or older that use outdoor poles are more than the percentage of % younger than 18 that use indoor pools.

Thus, there is a relationship between pool type and age group.