The diagonals of quadrilateral ABCD intersect at P. If AB¯¯¯¯¯¯ || CD¯¯¯¯¯¯ and AB¯¯¯¯¯¯ ≅ CD¯¯¯¯¯¯, which additional statement shows that ABCD is a rhombus? A. AP = CP B. BC = AD C. ΔDPA ≅ ΔDPC D. BC¯¯¯¯¯¯ || AD¯¯¯¯¯¯

Answer:

110.1

Step-by-step explanation:

Answer:

110.4

Step-by-step explanation:

180°-69.6°=110.4°

Half the numbers on the die are even so you have a 1/2 probability of getting an even number. There is also. 1/2 probability of getting heads on a coin flip.

To find the probability of both happening, multiply the probability of each together:

1/2 x 1/2 = 1/4

The probability of getting an even number and heads is 1/4

Martin wants to install a deck around his unusually sized 30 feet long by 46 feet wide pool. To protect the pool and deck, he will need to have a custom cover made specifically for these dimensions

Based on the dimensions you provided, Martin's pool is quite large at 30 feet long by 46 feet wide. Since he wants to put a deck around it, he'll need to factor in the extra space needed for that as well. As for the custom cover, it makes sense that Martin will need one due to the unusual size of his pool and deck. He'll want to make sure that the cover fits securely and provides adequate protection for both the pool and deck.

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Linear equations involve equalities (i.e., "=") and are used to represent lines in a coordinate plane. Linear inequalities, on the other hand, involve inequalities (i.e., "<", ">", "<=", ">=") and are used to represent regions or areas of a coordinate plane that satisfy certain conditions.

A linear equation can be expressed in the form "y = mx + b," where "m" represents the slope of the line and "b" represents the y-intercept. Given the values of "m" and "b," you can calculate the y-coordinate for any given x-coordinate, and vice versa. The graph of a linear equation is a straight line.

A linear inequality is expressed in the form "y < mx + b," "y > mx + b," "y <= mx + b," or "y >= mx + b." Instead of representing a single line, a linear inequality represents a shaded region on the coordinate plane that satisfies the given condition. To graph a linear inequality, you can choose a test point not on the line and check whether it satisfies the inequality. If it does, shade the region containing the test point; otherwise, shade the other region.

In summary, the main difference between linear equations and linear inequalities is the use of equalities versus inequalities. Linear equations represent lines, while linear inequalities represent shaded regions on the coordinate plane. Equations deal with exact solutions, whereas inequalities deal with a range of possible solutions. Understanding the distinctions between these concepts is important in various areas of mathematics, such as algebra and geometry.

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Answer:

$1362.307

Step-by-step explanation:

We are given that

Tom have unpaid balance=$1329.08

Finance charge=2.5% of unpaid balance

We have to find the new account balance.

Finance charge=\(\frac{2.5}{100}\times 1329.08\)

Finance charge=$33.227

Now,

The new account balance=Unpaid balance +finance charge

The new account balance=$1329.08+$33.227

The new account balance=$1362.307

Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

True. The given equation is true. The left-hand side (LHS) is equal to 4s + 5s^2, and the right-hand side (RHS) is equal to 4(cos(5t) + sin(5t)) + 25. By simplifying both sides, we can see that LHS is indeed equal to RHS. Therefore, the equation is true.

By expanding and combining like terms on both sides of the equation, we find that the LHS simplifies to 4s + 5s^2, while the RHS simplifies to 4(cos(5t) + sin(5t)) + 25. By comparing the two sides, we can see that they are equal to each other. Hence, the equation holds true. This means that the given expression satisfies the given equation, validating the statement as true.

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Answer:

sin^2 A

Step-by-step explanation:

first expand the trigonometry

1(1-cosA)+cosA(1-cosA)

=1-cosA+cosA-cos^2 A

= 1-cos^2 A

from trigonometric identity sin^2 A + cos^2 A= 1

sin^2 A= 1- cos^2 A

=sin^2 A

Answer:

the rotated image correspond is angle DEF

Answer:

No

Why he is not correct is because the y-intercept is the coordinate of the point where the graph meets or crosses the y-axis, which is equivalent to a point on the graph where the x-coordinate value reduces to zero, or to put it in a mathematical form x = 0

Step-by-step explanation:

From the given data, we have;

x     \({}\)       y

2     \({}\)      -2

4     \({}\)       0

6      \({}\)      2

8      \({}\)      6

The given data is linear because it has a constant first (common) difference of 2

The general form of the straight line equation is y = m·x + c

Where;

m = The slope

c = The y-intercept

\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

The slope of the graph of the data from any two points, (x₁, y₁) = (4, 0) and (x₂, y₂) = (4, 0)) is m = (2 - 0)/(6 - 4) = 1

The equation representing the data in point and slope form is therefore;

y - 4 = 1 × (x - 0)

Which gives;

y = x + 4

Therefore, the y-intercept = 4.

In the second linear regression model, where both X and Y variables are expressed in thousands of dollars, the estimated intercept (ordinate) is β∗0, and the estimated slope is β∗1.

When the variables X and Y are transformed from dollars to thousands of dollars, their scale changes. To determine the values of β∗0 and β∗1 in the second linear regression, we need to understand the effect of this scale transformation.

If we denote the original variables (measured in dollars) as X' and Y', and the transformed variables (measured in thousands of dollars) as X and Y, we can relate the two sets of variables as follows:

X = X' / 1000

Y = Y' / 1000

In the original regression model, the estimated intercept and slope are β0 and β1, respectively. When we transform the variables, the relationship between the original and transformed regression coefficients can be expressed as:

β∗0 = β0 / 1000

β∗1 = β1 * 1000

Hence, in the second linear regression model with variables measured in thousands of dollars, the estimated intercept (ordinate) is β∗0, which is equal to β0 divided by 1000. The estimated slope is β∗1, which is equal to β1 multiplied by 1000.

It's important to note that the scale transformation does not change the underlying relationship between X and Y. Instead, it simply adjusts the units in which the variables are expressed, resulting in different values for the regression coefficients.

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Complete question :

A chef at a restaurant uses 12 pounds of butter each day. About how many grams of butter does the chef use each day? use the conversion factors 16 oz/1 lb and 28.35 grams/1oz

Answer:

5,424 grams

Step-by-step explanation:

To convert using the conversion factor :

Number of pounds of butter * (16 oz/1) * (28.35) /1

Hence,

12 * 16oz/ 1 * 28.35/1

(12 * 16 * 28)

= 5,424 grams

Answer:

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

Use a combination formula.

We want to select 2 pennies from a set of 6 and 2 dimes from a set of 8.

The number of ways to do this is:

Therefore, there are 420 possible sets of 4 coins that contain 2 pennies and 2 dimes.

The expression that represents the value of the stock after two years have passed is 1.5498x

Percentage is the fraction of an amount expressed as a number out of hundred. The sign used to represent percentages is %.

The value of the stock after year 1 = worth of the stock when it was bought x (1 + percentage increase in year one)

1.23x

The value of the stock after year 2 = worth of the stock in year 1 x (1 + percentage increase in year two)

1.26 x 1.23x = 1.5498x

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The probability that the first item is not the first to be delivered is 0.6667

Let's call the events that the first, second, and third items arrive on the first day of February A, B, and C, respectively.

Therefore, the probability that one of the other two items arrives first is

1/3 + 1/3 = 2/3.

The probability that the first item is not the first to be delivered is

1 - 2/3 = 1/3

Evaluate

1 - 2/3 = 0.6667

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The Taylor series has convergence within the disk centered at z₀ = 0 with a radius of 1.

The convergence properties of a Taylor series depend on the function being approximated and the point around which the series is being expanded.

The Taylor series for the function 1/(1 + z) around z₀ = 0 is as follows:

1/(1 + z) = 1 - z + z² - z³ + z⁴ - ...

The series converges if the absolute value of the ratio of successive terms is less than 1, i.e.

|(-1)ⁿ zⁿ⁺¹ / (-1)ⁿ⁺¹ zⁿ| < 1

|z| < 1

So, the Taylor series converges in the disk of radius 1 centered at z₀ = 0.

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Answer:

154

Step-by-step explanation:

Area = Perimeter times Apothem divided by 2

A = \(\frac{p x a}{2}\) = 28 x 11 / 2 = 154

Answer:

The Acceleration, In Centimeters Per Second Per Second, Of A Projectile Is Modeled By A (T) = 21" - 156 + 36, Where T Is Measured in seconds

The answer is 4.75 you just need to add all of the numbers and then divide it to the total sum :)

Carry On Learning (◕ᴗ◕✿)

From the logarithmic differentiation, function \(f(x) = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}\),

a) \( ln (f(x)) = \frac{1}{x} ln( 1 + 2x) - ln(sin(x))\\ \)

b) \( \frac{f'(x)}{f(x)} = \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x) \\ \)

c ) The derivative of function, f(x) is

\(f'(x) = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}( \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x)) \\ \)

A logarithmic differentiation calculator is one of online tool used to calculate the derivative of a function using logarithm.

We have a function, \(f(x) = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}\).

We have to use logarithmic differentiation to determine the derivative and other values of the function.

a) Taking natural logarithm both sides in f(x), \(ln (f(x)) = ln( \frac{( 1 + 2x)^{\frac{1}{2}}}{ sin(x)})\)

Now, using the logarithm property,

\(ln(\frac{m}{n}) = ln(m) - ln(n) \)

\(ln (f(x)) = ln( 1 + 2x)^{\frac{1}{x}} - ln(sin(x)) \\ \). Also use power property, ln(p)² = 2ln(p),

\( ln (f(x)) = \frac{1}{x} ln( 1 + 2x) - ln(sin(x)) - - (1) \\ \)

b) Now, we determine the ratio of f'(x)/f(x)

Take a derivative of equation (1), we have

\(\frac{f'(x)}{f (x) } = \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - \frac{cos(x)}{sin(x)}\\ \)

\(= \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x) \\ \)

c) Now, we determine the derivative of f(x), Substitute original value of f(x) in previous equation,\( \frac{f'(x)}{ \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}} = \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x) \\ \)

f'(x) \( = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}( \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x)) \\ \). Hence, required value is \( \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}[ \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x)] \\ \).

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Answer: 120 meters

Step-by-step explanation:

The first greenhouse has a width of 10 meters, and a length of 20 meters. Since a scale factor of 2 is used, we have to multiply the length and width by 2.

Length of second greenhouse = 20 × 2 = 40

Width of second greenhouse = 10 × 2 = 20

The perimeter of the second greenhouse will then be:

= 2(length + width)

= 2(40 + 20)

= 2 × 60

= 120 meters

Answer:

Step-by-step explanation:

Answer:

Her solution is correct

(6-2)^2 + (8-3)^2

=(4)^2 + (5)^2

=16 + 25

=41

Part A:

Best graphical representation to display data will be line graph.

Given,

Scores of basketball team during the first 13 games of the season

{85, 94, 101, 118, 107, 110, 114, 96, 117, 105, 121, 88, 125}.

Now.

Part B:

We can create line graph with a very simple technique.

Firstly,

On x - axis take the number of season the team has played. In our case the number is 13 so take 13 distinct points on the x - axis.

Secondly,

On y -axis take the scores of the team in each of the 13 seasons corresponding to their values at x - axis.

Then,

Plot the points on the graph for all 13 seasons .

Last step,

Join all the points in the graph with the help of ruler. This will form the required line graph of the question.

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Answer:

x = 10

y = 1

DE = 7

AC = 14

Step-by-step explanation:

x + 2 = 24/2

x = 12 - 2

x = 10

y + 6 = x - 3

y = 10 - 3 - 6

y = 1

Answer:

30 dogs

Step-by-step explanation:

100% = 50

1% = 50 ÷ 100 = 0.5

60% = 0.5 x 60 = 30

Answer:

30 of the animals are dogs

Step-by-step explanation:

60% of 50 is 30

I hope this helps! May I have brainliest?

Answer:

2/7.

Step-by-step explanation:

Using order of operations (PEMDAS):

0.9 (3 / 2.25 - 1/8( 1 2/3 + 1/9)) - 4/7 / 0.8

= 0.9 (3 / 2.25 - 1/8( 5/3 + 1/9)) - 4/7 / 0.8

= 0.9 (3 / 2.25 - 1/8( 16/9) - 4/7 / 0.8

= 0.9 (3 / 2.25 - 2/9) - 4/7 / 0.8

=  0.9 (12/9 -  2/9) - 4/7 / 0.8

=  0.9 * 10/9 - 5/7

=  1 - 5/7

=  2/7.

Answer:

2/7 =0.2857

Step-by-step explanation:

0.9(300/225-1/8(1x3+2/3+1/9))-4/7/0.8

0.9(4/3-1/8(1x3+2/3+1/9))-4/7/0.8

0.9(4/3-1/8(3+2/3+1/9))-4/7/0.8

0.9(4/3-1/8(5/3+1/9))-4/7/0.8

0.9(4/3-1/8(15/9+1/9))-4/7/0.8

0.9(4/3-1/8x(15+1/9))-4/7/0.8

0.9(4/3-1/8x(16/9))-4/7/0.8

0.9(4/3-1x16/8x9))4/7/0.8

0.9(4.3-16/72)-4/7/0.8

0.9(4/3-2/9)-4/7/0.8

0.9(12/9-2/9)-4/7/0.8

0.9x(12-9/9)-4/7/0.8

0.9x(10/9)-4/7/0.8

9/10x(10/9)-4/7/0.8

1-4/7/0.8

1-4/7x0.8

1-4.56

1-40/56

1-5/7

7/7-5/7

7-5/7

2/7 = 0.2857

Answer: $83.35

Step-by-step explanation:

Find 15% of 72.48 = 10.87

10.87 + 72.48 = 83.35