Find the sum:
-3/4 and 5/8

The expression written in equivalent form with a common deliominator is

The sum is

1In unit 10 circles homework 9 standard form of a circle in all things' algebra, the center is (0,-2) and radius is 8 units.

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form, with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

\((x-h)^2+(y-k)^2=r^2\)

Here (h,k) is the center of the circle and (r) is the radius of the circle.

For the first problem,

\(x^2+(y+2)^2=64\)

Rewrite the equation to make it the equation of circle as,

\((x-0)^2+(y-(-2))^2=8^2\)

Compare it with equation of circle, we get center at (0,-2) and radius of 8 units. Similarly, the center and radius for each of the equation can be found out.

Thus, in unit 10 circles homework 9 standard form of a circle in all things' algebra, the center is (0,-2) and radius is 8 units.

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The function for the given value is f(-2) = -1.

Given function f(x) = |x| - 3. To evaluate the function for the given value of x when x = -2. we need to find f(-2).

when substituting x = -2 in the function

f(x) = |x| - 3, it will become f(-2) = |-2| - 3

                                                  = 2 - 3

                                                  = -1

Therefore, when x = -2, the value of the function f(x) = |x| - 3 is -1.

So, the function for the given value of x is f(-2) = -1.

The function f(x) evaluated at x = -2 gives us the value -1.

f(x) is a function. It maps elements of a set A to a set B. For all x ∈ A, the function f(x) returns a unique value f(x) ∈ B. The function value of f(x) at some point x = a is f(a).

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If a box has length of 1.3 m, width of 4.34 feet and height of 1.34 yard, the volume is 2.06432 m³.

The given measurements of the box are: length = 1.3 m, width = 4.34 feet, height = 1.34 yard

We need to convert feet and yards into meters because the volume is required in cubic meters.

1 foot = 0.3048 meters (approx)

1 yard = 0.9144 meters (approx)

Now, let's convert the width and height into meters.

Width in meters = 4.34 feet × 0.3048 meters/foot = 1.322912 meters (approx)

Height in meters = 1.34 yards × 0.9144 meters/yard = 1.223376 meters (approx)

Therefore, the volume of the box in cubic meters = length × width × height = 1.3 m × 1.322912 m × 1.223376 m ≈ 2.06432 m³ (rounded to five decimal places)

Hence, the volume of the box in m³ is 2.06432.

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Answer:

A,C,E

Step-by-step explanation:

adjacet, complementary, and linear pair

The system of equations that could be used to determine the number of commercials and the number of movies on which Jayden's songs were played is illustrated as 30(x + 4) + 120(x) = 420.

The variable is that the number of times the song was played in movies is represented by x.

From the information, Jayden is a songwriter who collects royalties on his songs whenever they are played in

a commercial or a movie and she will earn $30 every time one of his songs is played in a commercial and he will earn $120 every time one of his songs is played in a movie

Let the number of times the song was played in movies be x.

Jayden's songs were played on 4 more commercials than movies. This will be x+4.

Therefore, the equation to solve the question will be:

30(x + 4) + 120(x) = 420

30x + 120 + 120x = 430

150x + 120 = 430

150x = 430 - 120

150x = 310

x = 310/150

x = 2.1

Number of movies = 2

Number of commercial = x + 4 = 6

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Answer:

Step-by-step explanation:

Answer: B

Step-by-step explanation: I first simplified the expression which gave me 6^6 x 1/6^8 then, I reduced the expression with 6^6 which is now 1/6^2. After, I evaluated the power which is now 1/26. So the answer is B.

To approximate the line integral C of the vector field F = (ydx + zdy + xdz) along the curve C, we can use Stokes' theorem and a computer algebraic system (CAS). The curve C is defined by the intersection of the plane x + y = 2.

Here are the steps to approximate the line integral using Stokes' theorem Find the curl of the vector field F: The curl of F, denoted as ∇ × F, can be computed using the CAS. For F = (ydx + zdy + xdz), the curl is given by Compute the surface integral: Stokes' theorem relates the line integral along a closed curve C to the surface integral of the curl of F over a surface S bounded by C. In this case, since C is defined by the intersection of the plane x + y = 2, we can choose a surface S that lies on the plane and is bounded by C.

Determine the normal vector to the surface: The normal vector to the surface S can be found by taking the cross product of the partial derivatives of the equation of the surface. In this case, the equation of the plane is x + y = 2, so the normal vector is (1, 1, 0). By following these steps and utilizing a computer algebraic system (CAS), you can approximate the line integral C(ydx + zdy + xdz) along the curve C, where C is the intersection of the plane x + y = 2.

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Answer:

\(thank \: you\)

Answer:

#3: 81

Step-by-step explanation:

I haven't done this type of math in a while so I'm unsure about #1 and #2, but #3 is 81.

3^4 = 3 × 3 × 3 × 3

3^4 = 9 × 3 × 3

3^4 = 27 × 3

3^4 = 81

Answer:

1. 39

2. Not sure?

3. 81

Step-by-step explanation:

Answer:

Probability is the mathematical term for the likelihood that something will occur, such as drawing an ace from a deck of cards or picking a green piece of candy from a bag of assorted colors. You use probability in daily life to make decisions when you don't know for sure what the outcome will be.

Step-by-step explanation:

Answer:

32 bro its so easy totally

Step-by-step explanation:

Answer:

y = 1/2x + 2

Step-by-step explanation:

y = mx + b is the format you use.

m = slope (rise over run)

b = y - intercept

Answer:

Slope = -3/5

Step-by-step explanation:

slope (m) = y2 - y1 / x2 - x1

m = -2 - 1 / 1 - -4

m = -3 / 1 + 4

m = -3 / 5

You can check the work by counting rise (-3 which means 3 units down) over run (5 which means 5 units to the right)

Answer:

-3/5

Step-by-step explanation:

The line is y=-3/5x-1.4

Answer

card number 2

5+7+8+9=24/4=6

Step-by-step explanation:

The distance between the third base and the player is 150 feet.

Pythagoras' theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base, and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle of 90°. The sides of a right triangle (say a, b, and c) which have positive integer values, when squared, are put into an equation, also called a Pythagorean triple.

In the diagram attached, we can see the locations of the 1st base, 2nd base, 3rd base, and Home plate.

Since these four points form a square of which diagonals are equal in size.

So if we find the distance between the 1st and 3rd base that will be equal to the distance between the Home plate to the second base.

To find the nearest distance,

By applying "Pythagoras' Theorem"

\(nearest \ distance =\sqrt{120^2+90^2}\\\\=\sqrt{22500}\\\\=150\ feet.\)

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A quantity that is difficult to measure with certainty is called an uncertain or imprecise quantity.

This term refers to a situation where the exact value of a quantity cannot be determined accurately or with complete confidence.

There are various reasons why a quantity may be difficult to measure with certainty. Some of the common factors include:

1. Measurement limitations: Certain quantities may be inherently challenging to measure due to technical limitations of the measuring instruments or techniques available. This can include situations where the quantity is extremely small, extremely large, or falls within a range that is difficult to capture accurately.

2. Experimental errors: When conducting experiments or measurements, there is always a degree of error or uncertainty associated with the measurements. This can be due to limitations in the instruments used, human error in reading or recording measurements, or other external factors that affect the measurement process.

3. Inherent variability: Some quantities may exhibit inherent variability or fluctuations, making it difficult to determine their precise value. For example, in complex systems or natural phenomena, certain variables may change over time or exhibit random fluctuations that make it challenging to measure them with certainty.

4. Conceptual limitations: In certain cases, the nature of the quantity itself may pose challenges to precise measurement. This can occur when dealing with abstract or subjective concepts that are difficult to quantify objectively.

In scientific and engineering fields, the uncertainty associated with measurements is often quantified and expressed using statistical or probabilistic methods. This helps in understanding the range of possible values and the confidence level associated with the measurements.

It is important to recognize and account for uncertainties when dealing with imprecise quantities. Properly understanding and managing uncertainty is crucial for making informed decisions, interpreting experimental results, and ensuring the validity and reliability of scientific findings.

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The probability that client G you’re considering for a 30-year policy, lives to be 48 years old is 99.90%

The question is incomplete, because a probability table is required to answer this question

From the table in the complete question, the required probability is:

P = 0.998986

Express as percentage

P = 99.8986%

Approximate to 2 decimal places

P = 99.90%

Hence, the required probability is 99.90%

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Answer:

93.526 percent chance of living up to 48 years old

Step-by-step explanation:

\(\frac{93,526}{100000}\)= 0.93526

0.93526= 93.526

The residential buildings' total assessed land value has the smallest standard deviation.

To determine the standard deviations for the commercial and residential buildings' total assessed land value and total assessed parcel value, we would need access to a specific dataset that includes these values. However, based on general trends and assumptions, residential buildings' total assessed land value is likely to have the smallest standard deviation.

Residential properties typically exhibit more homogeneity compared to commercial properties. Residential neighborhoods often consist of similar types of properties, with comparable land values within a specific area. As a result, the assessed land values for residential buildings are more likely to cluster around a mean value, resulting in a smaller standard deviation.

In contrast, commercial properties can vary significantly in terms of size, location, and intended use. They may be diverse in terms of their land value and parcel value. The assessed land values and parcel values for commercial buildings are more likely to have a wider range of values, leading to a larger standard deviation.  

Therefore, based on these general characteristics, the residential buildings' total assessed land value is expected to have the smallest standard deviation compared to the commercial buildings' total assessed land value and total assessed parcel value.

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The probability that the amount of collagen is greater than 62 grams per milliliter is 0.7283.:Given the mean (μ) = 65 grams per milliliter and the standard deviation (σ) = 9.3 grams per milliliter.

The question requires finding the probability that the amount of collagen is greater than 62 grams per milliliter. The formula to find the probability is: P(X > 62) = 1 - P(X ≤ 62)

Summary: The probability that the amount of collagen is greater than 62 grams per milliliter is 0.7283.

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I believe the answer is

\(B. \: 6a {}^{2} b - 5ab + 5\)

I hope it's correct!

HOPE THIS HELPS! LIKE IF IT DOES!

(:

The probability of picking a number beween 2 and 7 from the numbers placed in the bag is 2/5.

Probability is a statistial measure used to determine the chances that a given event would happen. If the event would happen with certainity, it would have a value of 1. If it is certain the event would not happen, it would have a value of 0.

The probability of picking a number beween 2 and 7 = numbers between 2 and 7 / total numbers in the bag

4/10 = 2/5

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Answer:

c

Step-by-step explanation:

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Answer:

x = 14   y = 37

Step-by-step explanation:

180 - (9x + 12) = 3x

180 - 9x - 12 = 3x

168 = 12x

x = 14

4y - 10 + 3(14) = 180

4y - 10 + 42 = 180

4y + 32 = 180

4y = 148

y = 37

Answer:

hope I help

hope I help hope I help hope I help hope I help

a. All collections on the preceding page and its content are well-defined.

b. The difficulty in deciding whether a given collection is a set or not usually arises when the criteria for membership in the collection are ambiguous or subjective.

c. A collection of happy people can be considered a set, depending on how it is defined and the context in which it is used.

d. Collections of people with pretty faces are not well-defined because the notion of beauty or prettiness is subjective and can vary from person to person.

The preceding page and its content.

The collection is based on personal preferences or opinions, it becomes challenging to determine whether an item belongs to the collection. Another challenge is when the collection includes elements that are themselves collections or have complex properties.

If the criteria for membership in the collection are well-defined and objective, such as people who exhibit certain behaviors or express happiness in a measurable way, then it can be considered a set.

If the criteria are subjective or vague, such as being perceived as happy by others, it becomes difficult to determine membership and the collection may not be well-defined.

One person finds attractive, another may not.

Beauty is influenced by cultural, societal and personal preferences, making it difficult to establish clear and objective criteria for determining membership in such a collection.

collections of people with pretty faces are not well-defined sets.

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The correct pair in which product is greater than their sum is option A.  -2 and -5

In option D product is 0 and sum is 1, in option C product is negative and sum is positive, in option B product is negative and sum is 0, so in all of these options product is lesser than their sum.

In option A product is positive which is 10 and sum is negative which is -7, this is the pair of numbers where product is greater than their sum.

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Cutting 6-inch squares from each corner of a 20x12-inch tin sheet creates an open box with dimensions 8x0x6 inches.

By cutting 6-inch squares from each corner of a 20x12-inch tin sheet, you can create an open box.

The box's dimensions will be 8x0x6 inches. The width of 0 inches indicates that the tray has no width, resembling a line segment.

The explanation involves finding the maximum volume by taking the derivative of the volume function and setting it to zero.

The critical points are obtained by solving the resulting cubic equation, which yields two possible values: x = 10 and x = 6.

However, since x cannot exceed half the width or length of the sheet, the smaller value, x = 6 inches, is chosen.

Thus, the tray dimensions are determined, and it can be visualized as an open box with a length of 8 inches, no width, and a height of 6 inches.

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