how to do Reciprocals

Answer:

K=0 N=3 and I=-2

it's

3+-20= -17

The area between two negative scores can be found by taking the absolute difference between the two scores.

The area between two negative scores can be found by taking the absolute difference between the two scores. This is because the absolute difference gives us the distance between the two scores without considering their signs.

To calculate the area between two negative scores, follow these steps:

1. Identify the two negative scores.
2. Subtract the smaller negative score from the larger negative score.
3. Take the absolute value of the result to remove the negative sign.
4. The absolute difference between the two negative scores represents the area between them.

For example, let's say we have two negative scores, -5 and -10. To find the area between them, we subtract -5 from -10, resulting in -10 - (-5) = -10 + 5 = -15. Since we are interested in the distance, we take the absolute value of -15, which gives us 15. Therefore, the area between -5 and -10 is 15.

The absolute difference between two negative scores gives us the area between them. This approach is applicable whenever we want to find the distance or area between any two numbers, not just negative scores.

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The value of x that satisfies the equation is x = 15/8, which is equivalent to 1.875.

To solve the equation (2/3)x - (1/5)x = x - 1 and find the value of x, we can follow these steps:

Combine like terms on the left side of the equation:

(2/3 - 1/5)x = x - 1

Find a common denominator for the fractions on the left side. The common denominator for 3 and 5 is 15, so we rewrite the equation as:

(10/15 - 3/15)x = x - 1

Simplify the left side of the equation:

(7/15)x = x - 1

To eliminate the fraction, we can multiply both sides of the equation by the denominator of the fraction, which is 15:

15 * (7/15)x = 15 * (x - 1)

This simplifies to:

7x = 15x - 15

Subtract 15x from both sides of the equation to isolate the x term:

7x - 15x = -15

Simplifying further:

-8x = -15

Divide both sides of the equation by -8 to solve for x:

x = (-15) / (-8)

Simplifying the division:

x = 15/8

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7+3#2

Step-by-step explanation:

4(8-4)

16

16-9#7

7+3#2

Answer: Calculating the Actual Distance using the Scale

Step-by-step explanation: If the scale is 1 : x, then multiply the map distance by x to calculate the actual distance.

The half-life is the amount of time it takes for a quantity to reduce to half its initial value.

In the equation y = A(0.5)^(t/half-life), the half-life is represented as a variable in the denominator of the exponent.

y is the final value of the quantity after a certain amount of time, t.
A is the initial value of the quantity at the beginning (t = 0).
0.5 is the factor that represents a 50% decrease, as we are considering half-life.
t is the time that has passed.
half-life is the time it takes for the quantity to reduce to half its initial value.

In this equation, the half-life is used to determine how much of the initial quantity (A) remains after a certain amount of time (t). By dividing t by the half-life in the exponent, we can calculate the remaining quantity (y) after the specified time.

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Step-by-step explanation:

A water park water ride pumps 8,000 gallons of water every 2 minutes, How many gallons of water would the ride pump in 100 minutes?

100/2 = 50

50 * 8,000 = 400,000 gallons in 100 minutes

Answer:

400,000 gallons

Step-by-step explanation:

to find the unit rate or how much per minute we divide 8000 by 2

8000/2

4000 gallons per minute

Now multiply by 100

4000*100

400,000

Hopes this helps please mark brainliest

Answer:11/6

Step-by-step explanation: hope it helped if it dint tell me what exactly what i need to do and ill do it :)

Answer:

I am not sure what you are asking for

Step-by-step explanation:

1 5/6 already is the mixed fraction, if you meant to put 1 5/6 as an improper fraction your answer would be 11/6.

Or if you possibly meant 15/6 as a mixed fraction your answer would be 2 3/6

If this is not the answer you were looking for, please correct me so I can help you out.

The result is 965996074012064, or approximately 9.66 x \(10^{14\).

The product of 52837848 and 18283943 is a very large number, which is difficult to calculate by hand. However, it is possible to obtain an approximate value using a calculator or a computer program.

Assuming that you meant to multiply these two numbers together, the result is 965996074012064, or approximately 9.66 x \(10^{14.\)

To put this number into perspective, it is larger than the number of seconds that have elapsed since the dawn of human civilization, which is estimated to be around 6 x \(10^{11\) seconds. In fact, this number is so large that it is difficult to conceptualize its magnitude.

In practical terms, this product may represent the result of a complex calculation in fields such as finance, engineering, or science. It could also represent the outcome of a mathematical or statistical model that requires a high degree of precision.

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The length of the box is calculated as: 19.86 inches

Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.

The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

Pythagoras is in the form of;

a² + b² = c²

Since the diagonal has a length of 20 inches and the width is 11 inches, and the margin on the four sides is 1 inch, then using Pythagoras theorem, we can find the length of the screen as:

length = √(20² - 9²)

Length = √319 = 17.86 inches

Thus:

Length of box = 17.86 + 2 = 19.86 inches

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It is FALSE to state that if a researcher is interested determining if there is a relationship betweenethnicity and job type, then a Chi- Square Goodness of Fit test can be   used.

A Chi-Square Goodness of Fit test is not   appropriate for determining the relationship between ethnicity and job type.

This test is used to assess thedistribution of categorical variables within a single population or sample,   comparing observed frequencies with expected frequencies.

To examine the relationship between ethnicity and job type, a Chi-Square test of independence   or another suitable statistical test, such as logistic regression,would be more appropriate.

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Explanation:

The angles SPT and TPU marked in red are congruent. They are congruent because of the similar arc markings.

Those angles add to the other angles to form a full 360 degree circle.

Let x be the measure of angle SPT and angle TPU.

86 + 154 + 60 + x + x = 360

300 + 2x = 360

2x = 360-300

2x = 60

x = 60/2

x = 30

Each red angle is 30 degrees.

Then,

angle SPQ = (angle SPT) + (angle TPU) + (angle UPQ)

angle SPQ = (30) + (30) + (86)

angle SPQ = 146 degrees

--------------

Another approach:

Notice that angles QPR and RPS add to 154+60 = 214 degrees, which is the piece just next to angle SPQ. Subtract from 360 to get:

360 - 214 = 146 degrees

The correct answer is B). There is not enough information to determine if the lines are parallel.

Given: ∠2 = (2x + 15)°

∠3 = (3x - 15)°

x = 30

In order to determine if the lines are parallel, we need to know that the angles are supplementary. Supplementary angles are two angles that add up to 180°.

In this case, we know that ∠2 + ∠3 = 180°. However, this does not mean that the lines are parallel. There are other cases where two angles add up to 180°, but the lines are not parallel.

For example, if the lines are perpendicular, then the angles will add up to 180°. However, perpendicular lines are not parallel.

In order to determine if the lines are parallel, we need more information. We need to know that the lines are coplanar, or that they lie in the same plane.

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The area of the triangle to the nearest tenth is 5.8cm²

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon. Examples of triangle include, isosceles, equilateral , scalene e.t.c

The area of a triangle is expressed as;

A = 1/2 b h for right angle triangle and A = absinC for others.

Here; x = 4.7, y = 7.9, W = 162

area = 1/2× 4.7 × 7.9 sin162

= 1/2 × 4.7 × 7.9 × 0.31

= 5.8 cm²( nearest tenth)

Therefore the area of the triangle is 5.8cm²

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The area of water that is open to the atmosphere in acres and square feet, if the water surface elevation is uniformly 45 ft above the reservoir bed and the reservoir is holding 10 billion gallons of water is 436.59 acres and 19,015,471.19 square feet.

The area of water that is open to the atmosphere in acres and square feet, if the water surface elevation is uniformly 45 ft above the reservoir bed and the reservoir is holding 10 billion gallons of water can be calculated as follows:Given data:The surface elevation of water from the reservoir bed is uniformly 45 feet.

The reservoir is holding 10 billion gallons of water.We know that the volume of a rectangular prism can be found by multiplying its length, width, and height. Here, we can consider the reservoir as a rectangular prism whose height is 45 ft. Let's assume that the length and width of the rectangular prism are 'l' and 'w,' respectively. Therefore, the volume of the rectangular prism can be expressed as:l x w x 45 cubic feetAlso, the volume of a rectangular prism can be calculated using the formula:Volume of a rectangular prism = length × width × height= 7.4805 gallons/cubic footHere, the volume of the rectangular prism is 10 billion gallons.

Therefore, we can say:Volume of rectangular prism = 10,000,000,000 gallons= l x w x 45 x 7.4805 cubic feet= 33,660.225 l x w cubic feetWe can also express the area of the water surface by dividing the volume by the height (45 ft).

Therefore:Area of the water surface = (10,000,000,000 gallons) / (7.4805 gallons/ cubic foot × 45 ft)= 19,015,471.19 square feet= 436.59 acres

Hence, the area of water that is open to the atmosphere in acres and square feet, if the water surface elevation is uniformly 45 ft above the reservoir bed and the reservoir is holding 10 billion gallons of water is 436.59 acres and 19,015,471.19 square feet.

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The difference between a right circular cylinder and a cylinder is that a right circular cylinder has a circular base and is perpendicular to the base, whereas a cylinder can have any shaped base and the sides do not have to be perpendicular to the base.

A right circular cylinder has a circular base and its sides are perpendicular to the base, forming a right angle. This means that the axis of the cylinder is at a right angle to the base.

On the other hand, a cylinder can have any shaped base, such as a rectangle or an ellipse, and the sides do not have to be perpendicular to the base. This means that the axis of the cylinder can be at any angle to the base.

In summary, the main difference between a right circular cylinder and a cylinder is the shape of the base and the angle of the sides to the base. A right circular cylinder has a circular base and perpendicular sides, while a cylinder can have any shaped base and the sides can be at any angle to the base.

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Answer:

x = 46°

Step-by-step explanation:

Angles on a straight line sum to 180°.

Therefore, the interior angle of the triangle that forms a linear pair with the exterior angle marked 130° is:

⇒ 180° - 130° = 50°

The interior angle of the triangle that forms a linear pair with the exterior angle marked 96° is:

⇒ 180° - 96° = 84°

The interior angles of a triangle sum to 180°. Therefore:

⇒ 50° + 84° + x = 180°

⇒ 134° + x = 180°

⇒ 134° + x - 134° = 180° - 134°

⇒ x = 46°

Therefore, the size of angle x is 46°.

The main answer is that the volume of the square prism is equal to half the volume of the cylinder.

In the given options, the second option states that the volume of the square prism is half the volume of the cylinder. This is the correct answer. The first option states that the volume of the square prism is 3 times the volume of the cylinder, which is not possible as the square prism and cylinder have different formulas for volume calculation. The third option states that the volume of the square prism is equal to the volume of the cylinder, which is also incorrect as the given statement implies that the volume of the cylinder is greater than the volume of the square prism. The fourth option states that the volume of the square prism is twice the volume of the cylinder, which is also incorrect. Therefore, the correct answer is that the volume of the square prism is equal to half the volume of the cylinder.

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Answer:

its 12. but i reccomend cymath for this question so you don't have to wait for someone <3 ( and many other number only questions !! )

Step-by-step explanation:

Answer:

3.

Step-by-step explanation:

9 * 1 = 9

9 * 1/3 = 9/3.

        9/3 = 3.

9/3 also means 9 divided by 3.

Plus, I only multiplied the numerator because when multiplying whole numbers with fractions, we only multiply numerators. when multiplying fraction by fraction, we multiply both numerator and denominator.

hope this helps.

Answer:

The change in the angle of elevation is approximately 63.435°

Step-by-step explanation:

The given parameters are;

The speed of the tightrope walker = 3 ft./sec

The altitude at which the tightrope walker is moving = 100 ft.

The horizontal distance of the tightrope walker from the searchlight = 200 feet

The final angle of elevation, θ, is given by the trigonometric ratio as follows;

\(tan\angle \theta = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length} = \dfrac{Elevation \ of \, the \ tightrope}{Horizontal \ distance \ to \ the \ tight rope \ walker}\)

\(tan\angle \theta = \dfrac{Elevation \ of \, the \ tightrope}{Horizontal \ distance \ to \ the \ tight rope \ walker} = \dfrac{100}{200} = \dfrac{1}{2}\)

\(\theta = tan^{-1} \left (\dfrac{1}{2} \right ) \approx 26.565 ^ {\circ}\)

Whereby the tightrope walker was initially vertically overhead the search light, the initial angle of elevation = 90°

The change in the angle of elevation = The initial angle of elevation - The final angle of elevation

Substituting the values gives

The change in the angle of elevation = 90° - 26.565 ≈ 63.435°

Change in the angle of elevation = 63.4°

The original position of the tightrope Walker is vertical

That is, the initial angle of elevation, θ = 90 degrees

Horizontal distance of the Walker = 200 feet

The altitude of the Walker = 100 feet

The final angle of elevation of the tightrope Walker is calculated as follows

\(tan \theta \: = \frac{opposite}{adjacent} \)

\(tan \: \theta \: = \frac{100}{200} \)

\(tan \: \theta \: = 0.5\)

\(\theta \: = {tan}^{ - 1} 0.5\)

\(\theta = {26.6}^{0} \)

Change in the angle of elevation = Final angle of elevation - Initial angle of elevation

Change in the angle of elevation = 90 - 26.6

Change in the angle of elevation = 63.4°

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Answer:

-30, 210 and 330 degrees

Step-by-step explanation:

Given the expression Sin x = - 1/2

x = arcsin(-1/2)

x = -30 degrees

Since sin is negative in the third and fourth quadrant

x = 180 + 30

x = 210 degrees

In the fourth quadrant

x = 360 - 30

x = 330

Hence the value of x within the interval -360 < x < 360 are -30, 210 and 330 degrees

Answer:

x=5

Step-by-step explanation:

Subtract 20

from both sides of the equation

2

Simplify

Subtract the numbers

Subtract the numbers

3

Subtract  x

from both sides of the equation

Answer:

X = 5

Step-by-step explanation:

To solve for x, you need to get x to one side and everything else to the other side.

3x+20=x+30

Since there is only one positive x on the right, we can subtract it from both sides. This moves it over.

2x+20=30

Since there is a +20 on the same side we put our x, we need to subtract it from both sides to move it over.

2x = 10

Now x is being multiplied by 2. To get rid of it, we divide both sides by 2.

x = 5

Answer:

3/2 = X

Step-by-step explanation:

It would take Carlos 28.28 years before his salary would reach $106500.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is its graph or the rate of change is large.

As the table represents a linear relation we can write it in the form

S = mn + b

Slope(m) = (92500 - 78500)/(5 - 1).

Slope(m) = 14000/4.

Slope(m) = 3500.

Now, 78500 = 3500(1) + b.

b = 7500.

S = 3500n + 7500.

Therefore, The number of years 'n' required will be,

106500 = 3500x + 7500.

3500n = 99000.

n = 990/35

n = 28.28 years.

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Answer:

0

Step-by-step explanation:

Since B = 16  and C = 9 we can plug into the equation.

(9) + 3 (6 - 9)

Since order of operations we subtract 9 from 6

6 - 9 = -3

Now we do -3 x 3 = -9

Now add -9 to 9

-9 + 9 = 0

Answer:

Step-by-step explanation:

3(6 - 9)

3(-3)= -9

9 + (-9) = 0

Vertical asymptote: x = 2

Domain: (2, ∞)

Key point: (3/2, 16)

An asymptote is a straight line or a curve that a mathematical function approaches but never touches. In other words, as the input value of the function gets very large or very small, the function gets closer and closer to the asymptote, but it never actually intersects with it.

There are two main types of asymptotes: vertical and horizontal. A vertical asymptote occurs when the function approaches a specific x-value, but the function's output value approaches either positive or negative infinity. A horizontal asymptote, on the other hand, occurs when the function approaches a specific output value (y-value) as the input value (x-value) becomes very large or very small.

Asymptotes can be found in various mathematical contexts, including in functions like rational functions, exponential functions, logarithmic functions, and trigonometric functions. They have numerous applications in science, engineering, and other fields where mathematical modeling is required.

Vertical asymptote: x = -5

Domain: (-5, ∞)

Key point: (-4, -3)

Vertical asymptote: x = 3

Domain: (3, ∞)

Key point: (4, 1)

Vertical asymptote: x = 4

Domain: (4, ∞)

Key point: (5, 2)

Vertical asymptote: x = 1

Domain: (1, ∞)

Key point: (2, 5)

Vertical asymptote: x = 6

Domain: (6, ∞)

Key point: (7, -5)

Vertical asymptote: x = 2

Domain: (2, ∞)

Key point: (3/2, 16)

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Work Shown:

5x^3 + 14x^2 + 9x

x( 5x^2 + 14x + 9 )

To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.

A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula

\(x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(14)\pm\sqrt{(14)^2-4(5)(9)}}{2(5)}\\\\x = \frac{-14\pm\sqrt{16}}{10}\\\\x = \frac{-14\pm4}{10}\\\\x = \frac{-14+4}{10} \ \text{ or } \ x = \frac{-14-4}{10}\\\\x = \frac{-10}{10} \ \text{ or } \ x = \frac{-18}{10}\\\\x = -1 \ \text{ or } \ x = \frac{-9}{5}\\\\\)

Then use those two solutions to find the factorization

x = -1  or  x = -9/5

x+1 = 0  or  5x = -9

x+1 = 0  or  5x+9 = 0

(x+1)(5x+9) = 0

So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)

-----------

Overall,

5x^3 + 14x^2 + 9x

factors to

x(x+1)(5x+9)

Answer:

2    4/6     8/12

3  2/4      5/10

4    8/10     40/50

Step-by-step explanation:

Answer:

Step-by-step explanation:

lim x -> +oo    -2x³ - 13x² + 8x + 52

x³ (-2 -13/x + 8/x² + 52/x³)

+oo³ (-2 - 13/+oo + 8/+oo² + 52/oo³)

+oo(-2 + 0 + 0 + 0)

-oo

lim x -> -oo    -2x³ - 13x² + 8x + 52

x³ (-2 -13/x + 8/x² + 52/x³)

-oo³ (-2 - 13/-oo + 8/-oo² + 52/-oo³)

-oo(-2 + 0 + 0 + 0)

+oo

Answer:

B.   5

Step-by-step explanation:

Let x = length of shorter leg

longer leg = \(\sqrt{3}\) times the shorter leg

5\(\sqrt{3}\) = x\(\sqrt{3}\)

x = 5