The length of tile B is about 3.16228 inches. Which mark on the tape measure is closest to 3.16228 inches? Remember, the tape measure is marked in sixteenths of an inch.

Answer:

Step-by-step explanation:

We can use the identity for the cosine of the sum of two angles:

cos(a + b) = cos(a)cos(b) - sin(a)sin(b)

In this case, we can write:

cos(60°) = cos(55° + 5°) = cos(55°)cos(5°) - sin(55°)sin(5°)

We know that cos(60°) = 1/2, and we also know that cos(55°) = p. We can solve for cos(5°):

1/2 = p cos(5°) - sin(55°)sin(5°)

sin(55°)sin(5°) = p cos(5°) - 1/2

We also know that sin²(55°) + cos²(55°) = 1, so:

sin²(55°) = 1 - cos²(55°) = 1 - p²

Substituting this into the previous equation:

(1 - p²)sin(5°)² = p cos(5°) - 1/2

Rearranging and factoring:

p cos(5°) = 1/2 - (1 - p²)sin(5°)²

Using the fact that sin²(5°) + cos²(5°) = 1, we can substitute cos²(5°) = 1 - sin²(5°):

p cos(5°) = 1/2 - (1 - p²)(1 - cos²(5°))

Simplifying:

p cos(5°) = 1/2 - (1 - p²) + (1 - p²)cos²(5°)

p cos(5°) = 1 - 2p² + (2p² - 1)cos²(5°)

Solving for cos²(5°):

cos²(5°) = (1 - p cos(5°) + 2p²) / (2p² - 1)

Substituting the value we found for p, cos²(55°) = p²:

cos²(5°) = (1 - p cos(5°) + 2cos²(55°)) / (2cos²(55°) - 1)

Finally, substituting p = cos(55°):

cos²(5°) = (1 - cos²(55°) cos(5°) + 2cos²(55°)) / (2cos²(55°) - 1)

cos²(5°) = (2cos²(55°) - cos²(55°) cos(5°) + 1) / (2cos²(55°) - 1)

cos²(5°) = (cos²(55°) + 1) / (2cos²(55°) - 1)

Therefore, the value of cos 5° in terms of p = cos 55° is:

cos 5° = ±sqrt[(cos²(55°) + 1) / (2cos²(55°) - 1)]

Note that the sign of the square root is determined by the quadrant in which 5° lies. Since 5° is in the first quadrant, cos 5° is positive.

The angles in the triangles when compared are:

The triangle inequality theorem implies that

The largest angle in a triangle is opposite to the longest side of the triangle.

Using the above as a guide, we have the following comparison of angles:

The above comparison are true because the angles before the inequality symbol opposite a side length greater than the lengths faced by the other angle

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Thus, the solution of the expression [(-17) - (26) divided by 2] is found as the  -21.5.

A quantity is subtracted from another quantity in subtraction, which is a mathematical process. Sutraction is expressed in word puzzles by phrases like "x smaller than 3" or "9 subtracted from x."

The given expression:

= [(-17) - (26)] / 2

Open the inner most brackets.

= [-17 - 26]/2

The numbers with the same sign (either positive or negative numbers gets added retaining the same sign).

= -43 / 2

Divide the number with 2.

= -21.5

Thus, the solution of the expression [(-17) - (26) divided by 2] is found as the  -21.5.

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Therefore, the probability that a randomly selected family owns a cat is 0.257. Therefore, the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat is 0.778.

Probability is a branch of mathematics that deals with the study of random events or situations. It involves the quantification of the likelihood or chance of an event occurring, expressed as a number between 0 and 1, with 0 representing impossibility and 1 representing certainty. The theory of probability provides a framework for making predictions, analyzing data, and making decisions in situations involving uncertainty or randomness.

Here,

Let's use the following events:

D: family owns a dog

C: family owns a cat

From the problem statement, we know:

P(D) = 0.3

P(C|D) = 0.2

P(C) = 0.34

1. To find the probability that a randomly selected family owns a cat, we can use the law of total probability:

P(C) = P(C|D) * P(D) + P(C|not D) * P(not D)

We don't know P(C|not D), but we can find it using the fact that P(not D) = 1 - P(D):

P(C|not D) = (P(C) - P(C|D) * P(D)) / P(not D)

P(C|not D) = (0.34 - 0.2 * 0.3) / (1 - 0.3)

P(C|not D) = 0.2857

Substituting the values:

P(C) = 0.2 * 0.3 + 0.2857 * 0.7

P(C) = 0.257

2. To find the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat, we can use Bayes' theorem:

P(not D|C) = P(C|not D) * P(not D) / P(C)

Substituting the values:

P(not D|C) = 0.2857 * 0.7 / 0.257

P(not D|C) = 0.778

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Complete question:

In a certain community, 30% of the families own a dog, and 20% of the families that own a dog also own a cat. It is also known that 34% of all the families own a cat. What is the probability that a randomly selected family owns a cat? What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat?

Answer:

Step-by-step explanation:

C.

Answer:

B

Step-by-step explanation:

For every 4 units moved to the side, it also moves up by 5 units.

After answering the presented question, we can conclude that They are equation still pleased with the quantity of pizza they received, although it is less than in the previous scenario.

A quotient refers to the result obtained when one quantity is divided by another. For example, if you have 10 apples and you want to divide them equally among 2 people, each person would get 5 apples. The quotient in this case is 5, which represents the number of apples that each person would receive.

The quotient can be expressed in different forms, depending on the situation. If you are dividing two integers, the quotient can be a whole number (also known as an integer quotient) or a fraction (also known as a rational quotient). For example, if you divide 10 by 3, the quotient is 3 with a remainder of 1, which can be expressed as [tex]3 + 1/3[/tex] or as the fraction 10/3.

In algebra, the quotient can also refer to the result obtained when dividing two algebraic expressions. For example, if you divide [tex]x^2 + 3x + 2[/tex] by [tex]x + 1,[/tex] the quotient is [tex]x + 2[/tex], which represents the quotient of the division.

The concept of quotient is also used in other areas of mathematics, such as in modular arithmetic and in group theory, where it refers to the result of dividing one element of a group or a ring by another.

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Answer:

volume = length × width × depth

Assuming that the driveway has a rectangular shape, you can measure the length and width of the area to be covered and multiply by the depth of 3/4 ft (which is 0.75 ft) to get the volume in cubic feet.

For example, if the driveway is 20 ft long and 10 ft wide, the volume of concrete needed would be:

volume = length × width × depth

= 20 ft × 10 ft × 0.75 ft

= 150 cubic feet

Answer:

A. To find when the spider's height is at 0 feet, we need to solve the equation h = 33.3t - 16t^2 for t when h = 0. This gives us:

0 = 33.3t - 16t^2

0 = t(33.3 - 16t)

t = 0 or t = 2.08125 (rounded to 5 decimal places)

So the spider's height is at 0 feet at 0 seconds and 2.08125 seconds.

B. To find the spider's height after 1 second, we substitute t = 1 into the equation:

h = 33.3t - 16t^2

h = 33.3(1) - 16(1)^2

h = 17.3 feet

So the spider's height after 1 second is 17.3 feet.

The surface area of the right square pyramid is 106. 25 m²

A square pyramid is seen as a pyramid with a square base.

If the apex is vertically above the center of the square, it is called a right square pyramid, and has four vertical symmetries.

Some properties of a right square pyramid are;

The formula for the surface area of a square pyramid is half of the product of its base perimeter and its slant height:

SA = P × l / 2

where P is the base perimeter and l is the slant height.

Substitute the values;

Surface area = 25(8.5)/2 = 212.5/2 = 106. 25 m²

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(3, 8).

General form is: y = ax² + bx + c.

[tex]y=x^2-6x+1[/tex]

Formula: [tex]x=-\frac{b}{2a}[/tex]

So "b" should be the coefficient of the "x" variable, that value is: -6.

Now, the "a" value is implicit, since the x² doesn't have any numbers in front of it. Therefore, the value of "a" is 1.

[tex]x=-(\frac{(-6)}{2(1)})\\ \\x=-(\frac{-6}{2})\\ \\x=-(-3)\\ \\x=3[/tex]

[tex]y=x^2-6x+1\\ \\y=(3)^2-6(3)+1\\ \\y=9-18+1\\ \\y=-8[/tex]

(3, 8).

Take a look at the attached image to see the graph and vertex of this function.

Answer:

the number is 300

Step-by-step explanation:

just look it up next time

Answer:

300

Step-by-step explanation:

let x be the number

then, 15% of x = 45

[tex] \frac{15}{100} \times x \: = 45 \\ x \: = 45 \times \frac{100}{15} [/tex]

x = 300

pls mrk me brainliest

The cost of an ad algebraically as a piecewise function is 29.50x + 5.25

An algebraic function is a polynomial equation that can be constructed using only algebraic operations such as addition, subtraction, multiplication, division and exponentiation

The given statement reads:

The Fort Salonga News charges $29.50

Each line above four lines costs an additional $5.25.

Let the expression be in x

y= 29.50x + 25.5

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The answer after shorting are dog,top,not,box,jog.

What is sorting?

Sorting is the process of arranging or categorizing a set of items in a particular order or sequence according to specific criteria. It is a fundamental operation in computer science and is used extensively in various applications such as data analysis, information retrieval, and database management.

In general, sorting involves comparing elements of a collection, such as an array or a list, and rearranging them according to a predetermined order. The order can be based on a variety of factors, such as numerical value, alphabetical order, or date/time stamp. The two main categories of sorting algorithms are comparison-based sorting and non-comparison based sorting.

Some common sorting algorithms include bubble sort, insertion sort, selection sort, quicksort, merge sort, and heapsort. Each algorithm has its own advantages and disadvantages, and the choice of algorithm depends on the specific application and the characteristics of the data being sorted.

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Your complete question is:- Short "O" sound spelling in the following :-

Dog, Top, Not, Box, Jog

The solution to the differential equation dy/dx = 3x/√(y) with initial condition (0,1) is y = ((9/4) × x² + 1)^(2/3).

Differential equations are used to model a wide variety of physical, biological, and economic systems, including the motion of objects under the influence of forces, the spread of disease in a population, and the behavior of financial markets.

There are many different types of differential equations, including ordinary differential equations (ODEs) and partial differential equations (PDEs). ODEs involve a single independent variable and its derivatives, while PDEs involve multiple independent variables and their derivatives.

To solve the differential equation dy/dx = 3x/√(y), we can separate the variables by multiplying both sides by √(y) and dividing both sides by 3x:

dy/dx = 3x/√(y)

√(y) dy/dx = 3x

√(y) dy = 3x dx

Integrating both sides:

∫√(y) dy = ∫3x dx

(2/3)*y^(3/2) = (3/2)*x² + C

where C is the constant of integration.

To find the value of C, we can use the initial condition (0,1), which means y=1 when x=0:

(2/3)*y^(3/2) = (3/2)*x² + C

(2/3)*1^(3/2) = (3/2)*0² + C

C = (2/3)

Substituting C = 2/3 back into the equation, we get:

(2/3)×y^(3/2) = (3/2) × x² + 2/3

y^(3/2) = (9/4) × x² + 1

y = ((9/4) × x² + 1)^(2/3)

Therefore, the solution to the differential equation dy/dx = 3x/√(y) with initial condition (0,1) is y = ((9/4) × x² + 1)^(2/3).

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The measure of angle ZUB is 32.8°.

A triangle is a closed, double-symmetrical object composed of three line segments known as sides that intersect at three points known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all factions equal), isosceles, or scalene based on their sides.

Triangles are classified as acute (all angles are less than 90 degrees), okay (one angle is equal to 90 degrees), or orbicular (all angles are greater than 90 degrees) (all angles greater than 90 degrees). The region of a triangle can be calculated using the formula A = (1/2)bh, where an is the neighborhood, b is the triangle's base, and h is the triangle's height.

Since the angles given are 90 degrees and 57.2 yοu can add thοse tοgether then subtract them  frοm 180 tο find the answer.

180 - 90 + 57.2 = 32.8

Thus,

32.8° is the answer.

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Complete question:

Point Z is the circumcenter of ΔTUV.

Point Z is the circumcenter of triangle T U V. Lines are drawn from each point of the triangle to point Z. Lines are drawn from point Z to each side to form right angles and line segments Z A, Z B, and Z C. The line segments cut the sides into 2 equal parts. Angle Z T B is 32.8 degrees and angle B Z U is 57.2 degrees.

What is m Angle ZUB?

23.7°

32.8°

33.5°

57.2°

The value of [tex]$g(f(g(f(g(f(g(f(12)))))))) = \frac{5926}{3335}$[/tex] when the function f is applied 8 times and g is applied 8 times alternatively.

The process of applying one function to the result of another is known as function composition. In other words, if we have two functions, f and g, we may combine them to create a new function that accepts an input, processes it though g, and then outputs f.

For the given composite function we start with the innermost function.

Find the value of f(12):

[tex]f(12) = \frac{1+12}{1-12} = -\frac{13}{11}$\\\$g(f(12)) = \frac{-2}{-\frac{13}{11}+1} = \frac{22}{13}$\\$f(g(f(12))) = \frac{1+\frac{22}{13}}{1-\frac{22}{13}} = -\frac{35}{9}$\\$g(f(g(f(12)))) = \frac{-2}{-\frac{35}{9}+1} = \frac{18}{13}$[/tex]

[tex]f(g(f(g(f(12))))) = -\frac{157}{139}$\\$g(f(g(f(g(f(12)))))) = \frac{278}{157}$\\$f(g(f(g(f(g(f(12))))))) = -\frac{3335}{2963}$\\$g(f(g(f(g(f(g(f(12)))))))) = \frac{5926}{3335}$[/tex]

Hence, the value of [tex]$g(f(g(f(g(f(g(f(12)))))))) = \frac{5926}{3335}$[/tex] when the function f is applied 8 times and g is applied 8 times alternatively.

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Answer:

8

Step-by-step explanation:

Range is difference between max and min values:

20 - 12 = 8

The arc length and area of each circle sector is:

Case 1: s = 121π / 12 yd, A = 1331π / 24 yd²

Case 2: s = 35π / 3 in, A = 245π / 3 in²

Case 3: s = 17π / 6 ft, A = 17π / 4 ft²

Case 4: s = 11π / 2 in, A = 33π / 2 in²

Case 5: s = 116π / 9 yd, A = 928π / 9 yd²

Case 6: s = 13π / 12 ft, A = 13π / 8 ft²

In this problem we need to determine the arc length (s), in yards or inches, and the area (A), in square yards or square inches, of a circle sector, whose formulas are listed below:

Arc length

s = (θ / 180) · π · r

Area

A = 0.5 · (θ / 180) · π · r²

Where:

Now we proceed to determine the arc length and the area for each case:

Case 1 (r = 11 yd, θ = 165°)

s = (165 / 180) · π · 11

s = 121π / 12 yd

A = 0.5 · (165 / 180) · π · 11²

A = 1331π / 24 yd²

Case 2 (r = 14 in, θ = 150°)

s = (150 / 180) · π · 14

s = 35π / 3 in

A = 0.5 · (150 / 180) · π · 14²

A = 245π / 3 in²

Case 3 (r = 3 ft, θ = 170°)

s = (170 / 180) · π · 3

s = 17π / 6 ft

A = 0.5 · (170 / 180) · π · 3²

A = 17π / 4 ft²

Case 4 (r = 6 in, θ = 165°)

s = (165 / 180) · π · 6

s = 11π / 2 in

A = 0.5 · (165 / 180) · π · 6²

A = 33π / 2 in²

Case 5 (r = 16 yd, θ = 145°)

s = (145 / 180) · π · 16

s = 116π / 9 yd

A = 0.5 · (145 / 180) · π · 16²

A = 928π / 9 yd²

Case 6 (r = 3 ft, θ = 65°)

s = (65 / 180) · π · 3

s = 13π / 12 ft

A = 0.5 · (65 / 180) · π · 3²

A = 13π / 8 ft²

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Answer: wheres the question

Step-by-step explanation:

Answer:

5/3

1 2/3

Step-by-step explanation:

5 - 3 1/3 can be simplified as follows:

5 - 3 1/3 = 5 - (3 + 1/3) [grouping the whole number and fraction together]

= 5 - (10/3) [converting the mixed number to an improper fraction]

= 15/3 - 10/3 [finding a common denominator for subtraction]

= 5/3

Therefore, 5 - 3 1/3 is equal to 5/3.

The value that is closest to the linear correlation coefficient for the data include the following: D) 0.695​.

In order to determine a linear equation for the line of best fit (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatter plot).

In this scenario, the heights would be plotted on the x-axis of the scatter plot while the maximum speeds would be plotted on the y-axis of the scatter plot.

From the scatter plot (see attachment) which models the relationship between the heights and the maximum speeds, a linear equation for the line of best fit and correlation coefficient are as follows:

Equation: y = 0.205x + 33.42

Correlation coefficient, r = 0.695​.

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Answer:

108x^2 +23

Step-by-step explanation:

i think...

3x×2×18x+23

108x×x+23

final answer: 108^2 +23

Work accounts for approximately 60° of the pie chart, or 15.48% of the total 360°.

To calculate a pie chart, first, categorize the data and calculate the total.

Each slice of the pie chart represents a numerical value and has a size proportional to the value.

The sum of all the data is equal to 360°, with the total value always being 100%.

To find the percentage for each slice of the pie chart, divide the categories by the total and convert them into percentages.

Finally, calculate the degrees using the formula (Given Data/Total value of Data) × 360°.

For example, let's say we have data on sleep, work, family care, personal care, and leisure, with a total of 168 hours.

To find the percentage for each category, we can use the following calculations:

Therefore, work accounts for approximately 60° of the pie chart, or 15.48% of the total 360°.

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Using permutation and combination we can find the total number of companies listed = 12,338,352

A permutation is a methodical arrangement of things or numbers. Combinations let you choose things or numbers from a collection without worrying about the order in which they were gathered.

N (5 member) =₂₉C₅29!/5!(29-5)!=118755

The total number of firms that can be listed on NASDAQ if the company names can be either 4 or 5 letters and the letters can repeat themselves is: 4 letter names = 26 x 26 x 26 x 26 = 264 = 456,976

5 letter names equal 26, 26, 26, 26, 26 = 11,881,376.

Total number of companies listed = 456,976 + 11,881,376‬ = 12,338,352

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There are 364 men at the picnic

Equations can be written in many forms, but they all have the same basic structure: an expression on the left-hand side of the equals sign, and an expression on the right-hand side of the equals sign, with the equals sign itself indicating that the two expressions are equal.

Equations can be solved using a variety of techniques, including algebraic manipulation, substitution, and graphing. The goal of solving an equation is to find the values of the variables that make the equation true. In some cases, there may be multiple solutions to an equation, or no solutions at all.

Let the number of men be 4x, and the number of women be 5x.

According to the problem, the total number of people is 819, so:

4x + 5x = 819

Simplifying and solving for x, we get:

9x = 819

x = 91

Therefore, the number of men at the picnic is:

4x = 4(91) = 364

So there are 364 men at the picnic.

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Answer:To introduce her class to binomial distributions, Mrs. Desai gives a

-item, multiple-choice quiz. The catch is, that students must simply guess an answer (A through E) for each question. Mrs. Desai uses her computer's random number generator to produce the answer key so that each possible answer has an equal chance to be chosen. Patti is one of the students in this class.

Let

the number of Patti's correct guesses.

To get a passing score on the quiz, a student must guess correctly at least

times. Would you be surprised if Patti earned a passing score? Compute an appropriate probability to support your answer.

Step-by-step explanation:

The two points on the line to graph the function is (0, -16) and (1, -53).

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more integers, or coordinates. The order of the coordinates is crucial, and they are sometimes recognised by their position in an ordered tuple and occasionally by a letter, as in "the x-coordinate". In elementary mathematics, the coordinates are assumed to be real numbers, although they might instead be complex numbers or components of a more abstract system, such a commutative ring.

The given function is:

q(x)=3x−(2+5x)8

To find two points on the line to graph the function we substitute different values of x.

For x = 0:

q(x)=3x−(2+5x)8

q(0) = 3(0) - (2 + 5(0))8

q(0) = -16

For x = 1:

q(x)=3x−(2+5x)8

q(1) = 3(1) - (2 + 5(1))8

q(1) = 3 - (7)8

q(1) = -53

Hence, the two points on the line to graph the function is (0, -16) and (1, -53).

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The probability that someone who doesn't believe in ghosts is male is 6/19.

The measure of the likelihood or chance of an event occurring is known as Probability. It is expressed as a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty, and is often used in statistics, mathematics, and science.

The frequency table shows that 12 males don't believe in ghosts, and 26 females don't believe in ghosts. So, the total number of people who don't believe in ghosts is 12+26=38.

Out of these 38 people who don't believe in ghosts, 12 are male. Therefore, the probability that someone who doesn't believe in ghosts is male is:

P(Male | Don't believe in ghosts) = P(Male and Don't believe in ghosts) / P(Don't believe in ghosts)

= 12/38

= 6/19

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