Name the sides of the right triangle.

Answer:

arc CD = 160°

Step-by-step explanation:

The measures of the arcs on the circle = 360° , then

arc CD = 360 - AC - AD = 360 - 3x - 7x = 360 - 10x

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

The measure of the secant- tangent angle ABC is half the difference of the intercepted arcs, that is

\(\frac{1}{2}\) (7x - 3x) = 40 ( multiply both sides by 2 to clear the fraction )

7x - 3x = 80

4x = 80 ( divide both sides by 4 )

x = 20

Then

CD = 360 - 10x = 360 - 10(20) = 360 - 200 = 160°

Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

The y-intercept of the graph of the equation is y = -9.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given equation as:

y = 6 (x - 1/2)(x+3)

To determine the y-intercept of the graph of the equation

Substitute the value x = 0 in the equation,

y = 6 (0 - 1/2)(0+3)

Apply the arithmetic operation and solve for y

y = -9

Hence,  the y-intercept of the graph of the equation is y = -9.

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Step-by-step explanation:

x equals negative 1 and one over 6 or 7 / 6 or 1.16 with a hat on top

According to the equation we have After simplifying, the equation in spherical coordinates is: 5ρ^2 - 3ρ sin(θ) cos(φ) = 0 .

To write the given equation in spherical coordinates, we first need to express x, y, and z in terms of rho (ρ), theta (θ), and phi (φ), which are the spherical coordinates.

We know that:

x = ρsinφcosθ
y = ρsinφsinθ
z = ρcosφ

Substituting these values in the given equation, we get:

5(ρsinφcosθ)² - 3(ρsinφcosθ) + 5(ρsinφsinθ)² + 5(ρcosφ)² = 0

Simplifying further, we get:

5ρ²sin²φcos²θ + 5ρ²sin²φsin²θ + 5ρ²cos²φ - 3ρsinφcosθ = 0

Now, we can use the trigonometric identities:

sin²θ + cos²θ = 1
sin²φ + cos²φ = 1

Substituting these in the equation, we get:

5ρ²sin²φ + 5ρ²cos²φ - 3ρsinφcosθ = 0

To rewrite the given equation 5x^2 - 3x + 5y^2 + 5z^2 = 0 in spherical coordinates, we need to use the conversions:

x = ρ sin(θ) cos(φ)
y = ρ sin(θ) sin(φ)
z = ρ cos(θ)

Substitute these conversions into the equation:

5(ρ sin(θ) cos(φ))^2 - 3(ρ sin(θ) cos(φ)) + 5(ρ sin(θ) sin(φ))^2 + 5(ρ cos(θ))^2 = 0

After simplifying, the equation in spherical coordinates is:

5ρ^2 - 3ρ sin(θ) cos(φ) = 0

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The possible outcomes are there on Ryan's first turn flipping two cards is

The cards are 52 in number in which 13 cards are different. Each card is four in quantity.

Ryan is playing a multiplication game with a pile of 26 cards, each with a number on them.

Each turn, he flips over two of the cards and has to  multiply the numbers.

The  number of ways in which two cards can be selected  from 26 cards, at the same time. The order of those are important.

Then, the number of possible outcomes on each flip of two cards

= 26 p(2)

= 26 x 25

=650

Thus, the possible outcomes are there on Ryan's first turn flipping two cards.

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Answer:

stgfdbvfg

Step-by-step explanation:

sgsgdgdbccbctrerrgdgdg

Answer:

$75

Step-by-step explanation:

To find out how much George's mom paid for the 6 tickets, first find the unit rate, that is cost per ticket.

The unit rate/constant of proportionality between cost of tickets (y) and number of tickets (x) can be calculated using the coordinates of any points on the graph.

Using (4, 50), this means that 4 tickets cost $50.

Unit rate/constant of proportionality = y/x = 50/4 = 12.5

This means a ticket costs $12.5.

Therefore, 6 tickets would cost:

6 tickets × $12.5 = $75.

George's mom paid $75 for the tickets?

1. Positive

2. Negative

3. Even

Mr. Shin will record that ben is positive.

Mr. Shin will record that Gail is negative.

Mr. Shin will record that Nathaniel is even.

Hope this helps you if it does pls mark me brainiest.

Answer:

adding answer so he can get brailnleyst

Step-by-step explanation:

Based on the coordinate map the library is located at -2, -2, while the police station could be located at -2, 3.

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Solve the differential  equations (a) & (b) and plot three solution curves.

let's start by understanding the concepts of slope fields and solution curves. A slope field is a graphical representation of the solutions to a differential equation. It shows a vector field, or a graph of the direction and magnitude of the solutions, at any given point. Solution curves are the individual solutions of the differential equation that can be seen on the slope field.

To find equilibrium solutions and classify them as stable, semistable or unstable for the given differential equations, you need to solve the equations for the given initial conditions and then plot the solutions on the slope field.

For the first equation (a), y' = y(y+1), you need to solve the equation and plot three solution curves on the slope field. Then you should find the equilibrium solutions and classify them as stable, semistable, or unstable.

Similarly, for the second equation (b), y'= 2t + y, you need to solve the equation  and plot three solution curves on the slope field. Then you should find the equilibrium solutions and classify them as stable, semistable, or unstable.

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When a coin is flipped 10 times, there are 1024 possible outcomes. Out of these, 286 outcomes contain at most three tails.

To calculate the number of possible outcomes containing at most three tails, we need to consider all the possible combinations of heads (H) and tails (T) in 10 flips. In each flip, we have two possibilities, so the total number of outcomes is 2^10 = 1024.

To find the number of outcomes with at most three tails, we can break it down into three cases:

1. Zero tails: There is only one outcome with all heads (HHHHHHHHHH).

2. One tail: There are 10 ways to choose the flip that results in a tail, and for each of these, the remaining flips are all heads. So, there are 10 outcomes with one tail.

3. Two tails: There are 10 choose 2 = 45 ways to choose the two flips that result in tails, and for each of these, the remaining flips are all heads. So, there are 45 outcomes with two tails.

Adding up these cases, we have 1 + 10 + 45 = 56 outcomes with at most two tails. However, this count includes the outcome with all heads, which we already counted in case 1. So, we subtract 1 to get 56 - 1 = 55 outcomes with at most three tails.

In conclusion, out of the 1024 possible outcomes when flipping a coin 10 times, there are 286 outcomes that contain at most three tails.

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#3 Nicholas had 15 cans at home.

Answer:

b c d

Step-by-step explanation:

i think

The incorrect option is d) 7/8 > 10/11.

a) 3 / 11 < 5/13

3/11 = 0.2727

5/13 = 0.3846

As it is given 3/11 < 5/13

hence a) 3 / 11 < 5/13 is correct.

b) 5/6 < 7/8

5/6 = 0.8333

7/8 = 0.875

As it is given 5/6 < 7/8

hence b) 5/6 < 7/8  is correct.

c) 2/3 > 1/2

2/3 = 0.6666

1/2 = 0.5000

As it is given 2/3 > 1/2

hence c) 2/3 > 1/2 is correct.

d) 7/8 > 10/11

7/8 = 0.8750

10/11 = 0.9090

As it is given  7/8 > 10/11

hence d) 7/8 > 10/11 is incorrect.

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The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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Answer:

The answer is

Step-by-step explanation:

5m+8n-2(3m-n)

Expand the terms in the bracket

That's

5m + 8n - 6m + 2n

Group like terms

We have

8n + 2n + 5m - 6m

Simplify

The final answer is

10n - m

Hope this helps you

won't it be 3.2 because A square has four sides so you multiply 0.8 by 4

It's important to consider the terms "deviation," "players," and the context of the question. The mean and standard deviation of the salaries of players on the Denver Broncos have been recorded. You'd like to know if it's appropriate to use these methods to perform a hypothesis test about the mean salary of players in the National Football League (NFL).

In this case, it may not be appropriate to use the methods of this section to perform a hypothesis test about the mean salary of players in the NFL. The reason is, the data collected only represents the players on the Denver Broncos and not the entire population of NFL players. The standard deviation and mean of the Denver Broncos' salaries may not accurately represent the salary distribution of the entire league, as there might be variations among different teams.

To perform a hypothesis test about the mean salary of players in the NFL, it would be necessary to gather data from a representative sample of players across all teams in the league. This would allow for a more accurate estimation of the true mean salary and standard deviation within the entire population of NFL players.

In conclusion, while the data collected for the Denver Broncos players provides useful information about that specific team, it is not sufficient to draw conclusions about the mean salary of players in the entire NFL without obtaining a representative sample from all teams.

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Answer:

1.  \(-1\) \(\frac{1}{3}\)

2. \(-1\) \(\frac{1}{2}\)

3. \(1\) \(\frac{1}{2}\)

4. \(1 \frac{3}{4}\)

-1 1/3 is the least of all the numbers. So, this is the first number.

-1 1/2 is the second least number. So, this is the second number.

1 1/2 is the third least number. So, this is the third number.

Finally, 1 3/4 is the greatest number, so it is the fourth number.

Hope this helps you!

After combining like terms to create equivalent expression we get (-1.9 + 1.2) + (5.1 - 3.6)t. Simplifying further, we get: -0.7 + 1.5t.

To combine like terms, we add or subtract the coefficients of the same variables. In this case, the variables are t and the constant terms (without variables) are -3.6, -1.9, and 1.2.

So the equivalent expression after combining like terms is:

(-1.9 + 1.2) + (5.1 - 3.6)t

Simplifying further, we get:

-0.7 + 1.5t

A coefficient is a numerical factor that is multiplied by a variable in an algebraic expression. It tells you how many times the variable appears in the expression. For example, in the expression 3x + 2, the coefficient of x is 3. Variables are symbols used to represent unknown quantities in mathematical equations or expressions. They can take on different values, and their value can be solved for using algebraic techniques. Equivalent expressions are expressions that have the same value for all possible values of the variables involved. For example, 2x + 4 and 4 + 2x are equivalent expressions since they simplify to the same value. Equivalent expressions can be useful in simplifying and solving algebraic equations.

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Complete Question

Combine like terms to create an equivalent expression. −

3. 6−1. 9+1. 2+5. 1 −3. 6−1. 9t+1. 2+5.

The probability that he gets a raise for the sixth time is 0.53.

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes. The value of the probability of an event to happen can lie between 0 and 1 because the favorable number of outcomes can never cross the total number of outcomes. Also, the favorable number of outcomes cannot be negative.

Given here, the probability that he gets a raise is 53% each time he ask

for the sixth time is 0.53

Hence, The probability that he gets a raise for the sixth time is 0.53.

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Answer:

6967 years

Step-by-step explanation:

Given the exponential function :

R=100e−0.00043t

Time = t in years

R = final amount

Number of years in which only 5 grams of radium will be present :

R = 5

Plugging into our formula :

5 = 100 * e^−0.00043t

5 / 100 = e^−0.00043t

0.05 = e^−0.00043t

Take the In of both sides

−2.995732 = - 0.00043t

t = −2.995732 / - 0.00043t

t = 6966.819

t = 6966.819 years

t = about 6967 years

Rewrite the fractions to have a common denominator to find the difference:

2/3 = 4/6

Difference = 4/6-5/6 = -1/6

Sequence formula = an = a1 + d(n-1)

A1 is the first term 5/6

And d = -1/6

Sequence = 5/6 -1/6(n-1)

Simplify to get an =(-n +6)/6

Answer:

Brainliest

Step-by-step explanation:

21,000 x 0.89^7 =

9,288.58032806109 = 9288.58

Answer:

£9288.58

Step-by-step explanation:

Initial price= 21000

Price drop rate= 11%

Time= 7 years

Price at the end of 7 years: £21000*((100-11)/100)^7= £9288.58

All of the expressions that represent the total number of ounces of chocolate chips which Dan used in his last batch include the following:

B. 1.3x

C. x + 0.3x

In order to write the required expressions, we would assign variables to the ounces of chocolate chips and the number of cookies, and then translate the word problem into algebraic equation as follows:

Since Dan typically mixes x ounces of chocolate chips into the batter and decided to make the cookies extra delicious and used 30% more chocolate chips, the required expressions are given by;

y = x + (30% of x).

y = x + (30/100 × x)

y = x + 0.3x      ....expression 1.

y = 1.3x           ....expression 2.

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The solution for the given mixed fractions \(1\frac{3}{5} + 2\frac{1}{4}\) is 47/20. The mixed fraction for the solution is \(2\frac{7}{20}\).

The given mixed fractions are = \(1\frac{3}{5} + 2\frac{1}{4}\)

To add these fractions, we need to make them into improper fractions. It can be done by multiplying the denominator with the number and adding a numerator to it.

Then we can convert both mixed numbers to improper fractions:

\(1\frac{3}{5}\) = (1 x 5 + 3) / 5 = 8/5

\(2\frac{1}{4}\)= (2 x 4 + 1) / 4 = 9/4

Now these two improper fractions can be added.

8/5 + 9/4 = (8 x 4 + 9 x 5) / (5 x 4) = 47/20

To convert the improper fraction to a mixed number, we can divide the numerator by the denominator:

47 ÷ 20 = 2 with a remainder of 7

The mixed number =  2 7/20

Therefore, we can conclude that \(1\frac{3}{5} +2 \frac{1}{4}\) = \(2\frac{7}{20}\) is a mixed number.

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Answer:

Step-by-step explanation:

a. (I) x = 65

(ii) vertically opposite angles are equal.

b. (i) 71 degrees

(ii) alternate interior angles are equal

c. (i) z = 180 - 71 = 109 degrees

(ii) angles on a line add up to 180 degrees

Answer:

x = 65°, y = 71°, z = 44°

Step-by-step explanation:

x and 65 are vertical angles and congruent, thus

x = 65°

y and 71 are alternate angles and congruent, thus

y = 71°

The sum of the 3 angles in a triangle = 180°, thus

z = 180° - (65 + 71)° = 180° - 136° = 44°

Hence

x = 65°, y = 71° and z = 44°

This is the Taylor series expansion for the function f(x) = x⁴ - 6x² + 1 centered at a = 2.

What is Taylor Series?

In mathematics, the Taylor series or Taylor expansion of a function is an infinite sum of terms that are expressed in terms of the derivative of the function at a single point. For most common functions, the function and the sum of its Taylor series near this point are the same.

To find the Taylor series for the function f(x) = x⁴ - 6x² + 1 centered at a = 2, we can use the formula for the Taylor series expansion:

f(x) = f(a) + f'(a)(x - a)/1! + f''(a)(x - a)²/2! + f'''(a)(x - a)³/3! + ...

First, let's find the values of f(a) and its derivatives at x = a = 2:

f(2) = (2)⁴ - 6(2)² + 1 = 16 - 24 + 1 = -7

f'(x) = 4x³ - 12x

f'(2) = 4(2)³ - 12(2) = 32 - 24 = 8

f''(x) = 12x² - 12

f''(2) = 12(2)² - 12 = 48 - 12 = 36

f'''(x) = 24x

f'''(2) = 24(2) = 48

Now, we can substitute these values into the Taylor series formula:

f(x) = f(a) + f'(a)(x - a)/1! + f''(a)(x - a)²/2! + f'''(a)(x - a)³/3! + ...

f(x) = -7 + 8(x - 2)/1! + 36(x - 2)²/2! + 48(x - 2)³/3! + ...

Simplifying the terms:

f(x) = -7 + 8(x - 2) + 18(x - 2)² + 8(x - 2)³ + ...

This is the Taylor series expansion for the function f(x) = x⁴ - 6x² + 1 centered at a = 2.

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48630 is large should the sample be if the margin of error is to be less than $4 .

What does the term "margin of error" mean?

Margin of Error  = Z*Stdev/sqrt(n)

4 <= 0.90* 33/sqrt(n)

n >= (0.90* 33/2)^4 = 48630.17 OR 48630

So, n should be atleast 48630 so that margin of error is within $4

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