Can someone please help me?

Using the central angle theorem, the measure of angle BCD in the circle given is: b. 108°.

The central angle theorem of a circle states that the measure of a central angle of a circle is equal to the measure of the arc that it cuts off.

In other words, if you know the measure of an arc in a circle, you can find the measure of the central angle that intercepts that arc, and vice versa.

m(BD) = 180 - m(AB)

Substitute:

m(BD) = 180 - 72

m(BD) = 108°

m<BCD = m(BD) [based on the central angle theorem]

Substitute:

m<BCD = 108°

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According to chances:

10. If you and your five friends are sitting together in a row of 6 empty seats, then you can be seated in any of the 6 seats, your first friend can be seated in any of the remaining 5 seats, your second friend can be seated in any of the remaining 4 seats, and so on. Therefore, the total number of ways in which you all can sit together in a row of 6 empty seats is given by:

6 x 5 x 4 x 3 x 2 x 1 = 720

Hence, there are 720 different ways in which you all can sit together in a row of 6 empty seats.

11. Since you can purchase 5 out of 7 different flavors of hot sauce, the number of possible ways of purchasing the hot sauces can be calculated using the combination formula. The number of ways to choose 5 sauces out of 7 is given by:

C(7,5) = 7! / (5! x 2!) = 21

Therefore, there are 21 possible ways for you to purchase 5 different flavors of hot sauce.

(a) If the order of the five numbers does not matter, then we need to find the number of combinations of 5 numbers that can be selected from 20 numbers. This can be calculated using the combination formula, and is given by:

C(20,5) = 20! / (5! x 15!) = 15,504

Therefore, the probability of winning the lottery is 1/15,504.

(b) If the order of the five numbers matters, then we need to find the number of permutations of 5 numbers that can be selected from 20 numbers. This can be calculated using the permutation formula, and is given by:

P(20,5) = 20! / 15! = 3,584,000

Therefore, the probability of winning the lottery is 1/3,584,000.

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Image transcribed:

10. You and five of your friends go to the local theatre to watch a famous orchestra perform. In how many, different ways, can you all sit together in a row of 6 empty Seats? (7pts)

11. A local grocery store has 7 different kinds of hot sauce that you would love try. However, you only have enough money to purchase 5 of the different flavors. How many of the flavors of hot sauce are possible for you to purchase? (7 pts)

12. You are testing your recent luck and want to find out how unlikely it is to win a lottery with a jackpot $1, 000, 000. In order to win, you must correctly select 5 numbers where each is an integer between 0-19 inclusive. Find the probability that you randomly select a lottery ticket and win if: (6 pts each)

(a) The order of the five numbers does not matter.

(b) The order of the five numbers do matter.

Answer:

36

Step-by-step explanation:

It's the biggest number.

Therefor option C  graph for this identity  will be best . This function has all real numbers as its domain and all real numbers as its range.

The collection of all potential input values (typically denoted by x) for which a mathematical function is specified is known as the domain of the function. For instance, the domain of a function f(x) = 1/x, with the exception of x = 0, is all real numbers. This is due to the illogical nature of division by zero.

Another illustration is the formula g(x) =.(x - 2). All real numbers larger than or equal to 2 fall under the domain in this situation. This is due to the fact that a negative number cannot be squared.

A cube root function is the one with the formula m(x) = x + 5. Similar to a square root function, but more spread out, is the graph of a cube root function. This function has all real numbers as its domain and all real numbers as its range.

We can start by locating a few points on the graph in order to graph this function for example,

when x = 0, m(x) = ∛0 + 5 = 5.

When x = 1, m(x) = ∛1 + 5 ≈ 6.

When x = -1, m(x) = ∛(-1) + 5 ≈ 4.

We can plot these points on a coordinate plane and connect them with a smooth curve to get the graph of the function.

Therefor option C  graph for this identity  will be best

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Answer:

Yes (1, 9) is a solution

Step-by-step explanation:

Plug in 9 for y and 1 for x.   (x, y) = (1, 9)

y = 5x + 4

9 = 5 (1) + 4

9 = 9     true

y = 2x + 7

9 = 2(1) + 7

9 = 9   true

The range of a function refers to the set of all possible output values. To find the range of the given piecewise function g(x), we need to consider the two cases separately:

Case 1: x < 2

In this case, g(x) = x^2 - 5. The graph of this function is a parabola that opens upward and has a vertex at (0,-5). Since the parabola is open upward, the minimum value of g(x) occurs at the vertex and is g(0) = -5. As x increases, g(x) increases without bound. Therefore, the range of g(x) for x < 2 is (-5, ∞).

Case 2: x ≥ 2

In this case, g(x) = 2x. The graph of this function is a line with slope 2 and y-intercept 0. Since the line has a positive slope, g(x) increases as x increases. Therefore, the range of g(x) for x ≥ 2 is [4, ∞).

To find the overall range of g(x), we need to consider the union of the two ranges, which is (-5, ∞).

Answer:

11. (D) 90 degrees

12. (C) 93

13. (D) 90 degrees

14. (C) 46

Step-by-step explanation:

11. this is a square so each angle is 90 degrees.

12. as each side is the same, we create the equation 9x + 3 = 11x - 17. Solve.

13. With diagonals, MGQ, QGE, QEO, QOM, QMG become 45 degrees, while the intersection of the diagonals become 90 degrees

Hope this answers your question

please give Brainliest, would really appreciate it! :)

The weight below which one can find the lightest 90% of all navel oranges is approximately 4.83 ounces.

Standard deviation is a statistical measure that represents the amount of variability or dispersion in a set of data. It measures how spread out the data is from the mean or average value.

A small standard deviation indicates that the data points tend to be close to the mean, while a large standard deviation indicates that the data points are more spread out.

In the given question,

We can use Excel's NORM.INV function to find the weight below which we can find the lightest 90% of all navel oranges, given the mean and standard deviation of the weight distribution.

The NORM.INV function takes three arguments: the probability value (in this case, 0.9 for the lightest 90%), the mean value (μ), and the standard deviation value (σ). The function returns the corresponding z-score, which can be multiplied by the standard deviation and added to the mean to get the weight value.

Using Excel, the formula to find the weight below which we can find the lightest 90% of all navel oranges is:

=6 - 0.8 * NORM.INV(0.9,0,1)

This gives us a result of 4.83 ounces (rounded to two decimal places).

Therefore, the weight below which one can find the lightest 90% of all navel oranges is approximately 4.83 ounces.

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Answer:132 tenths are equivalent to 13.2.

Step-by-step explanation:

Answer: 132 tenths.

Step-by-step explanation:

Since it's tenths, all you have to do is move the decimal place over 1 space.

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{4}-\stackrel{y1}{2}}}{\underset{\textit{\large run}} {\underset{x_2}{6}-\underset{x_1}{0}}} \implies \cfrac{ 2 }{ 6 } \implies \cfrac{ 1 }{ 3 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{ 1 }{ 3 }}(x-\stackrel{x_1}{0})\implies {\Large \begin{array}{llll} y=\cfrac{ 1 }{ 3 }x+2 \end{array}}[/tex]

Here, x-2y=-8 is an equation of the linear function.

An equation is a mathematical statement that shows that two expressions are equal. It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.

To find the equation of a linear function given its x-intercept and y-intercept, we can use the slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept.

We are given that the x-intercept is -8, which means that the point (-8, 0) is on the line. We are also given that the y-intercept is 4, which means that the point (0, 4) is on the line. Using these two points, we can find the slope of the line:

m = (y₂ - y₁) / (x₂ - x₁)

m = (4 - 0) / (0 - (-8))

m = 4 ÷ 8

m = 1/2

Now that we know the slope is 1/2 and the y-intercept is 4, we can write the equation of the line in point slope form:

y - y₁ = m(x - x₁)

y - 4 = 1/2(x - 0)

y - 4 = 1/2(x - 0)

y = 1/2(x - 0) + 4

y = 1/2x + 4

Multiply all by -2

y = 1/2x + 4

-2y = -x -8

x -2y = -8

Therefore, The other equations do not have the same slope and/or y-intercept as the linear function except x -2y = -8.

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Answer:

  41.59 square meters

Step-by-step explanation:

You want the surface area of a rectangular prism with dimensions ...

You are given the formula ...

 SA = 2LW +2WH +2LH

You find the area by replacing the variables in the formula with the given values, then doing the arithmetic.

We find there is less typing involved and fewer calculator operations if we rearrange the formula first. We can factor some terms, so we have ...

  SA = 2(LW +WH +LH) . . . . factor out 2

  SA = 2(LW +H(L +W)) . . . . . factor H from the last two terms

The attached calculator screen shows the use of this formula with the given numbers.

  SA = 2(2.1·1.45 +5(2.1 +1.45)) = 41.59 . . . . square meters

The surface area is 41.59 m².

Answer:

41.59

Step-by-step explanation:

The equation given is SA= 2(lw)+2(wh)+2(lh)

What you should do in this case is input all the values first. So you should have:

SA= 2(2.1*1.45)+ 2(1.45*5)+ 2(2.1*5)

SA=6.09+14.5+21

SA= 41.59

All points on this line are equidistant from the two arms of the parabola, and the line passes through the vertex of the parabola.

What is quadratic equation?

A quadratic equation is a second-degree polynomial equation in a single variable, where the variable is typically denoted by x.

According to question:

A quadratic equation's vertex form is provided by:

y = a(x - h)² + k

where an is a constant that governs the parabola's shape and (h, k) is the parabola's vertex.

In this case, the vertex form of the quadratic equation with a = 3, h = -4, and k = 1 is:

y = 3(x + 4)² + 1

To find the equation of the axis of symmetry, we need to determine the x-coordinate of the vertex, which is given by -h. In this case, -h = -(-4) = 4.

The line that represents the axis of symmetry has the following equation, then:

x = 4

This is because all points on this line are equidistant from the two arms of the parabola, and the line passes through the vertex of the parabola.

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So, the constant of proportionality from the original figure to the scaled copy is indeed 5/3.

To find the constant of proportionality from the original figure to the scaled copy, we need to find the ratio of the corresponding side lengths. Let's take the first pair of corresponding side lengths, 6 and 10, from the table.

To get from 6 to 10, we multiply by a constant factor. Let's call this constant factor "k". Then:

[tex]6 * k = 10[/tex]

Solving for k, we get:

[tex]k = 10/6 = 5/3[/tex]

So, the constant of proportionality from the original figure to the scaled copy is 5/3.

We can check this for the other pairs of corresponding side lengths in the table as well. For example, taking the second pair of corresponding side lengths, 12 and 39:

[tex]12 *k = 39[/tex]

Solving for k, we get:

[tex]k = 39/12 = 13/4[/tex]

We can see that this also satisfies the other pair of corresponding side lengths:

[tex]6 * (13/4) = 39[/tex]

and

[tex]10 * (13/4) = 65[/tex]

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Answer:

[tex]y = 2x+1[/tex]

Step-by-step explanation:

Let y = mx + b.

We can find two points, (0, 1) and (1, 3).

Substituting both into the equation:

[tex]\left \{ {{1 = 0m + b} \atop {3 = m+b}} \right.[/tex]

We find that b = 1, m = 2.

Thus, y = 2x + 1.

Answer: Sure, here's an example survey result in tabular form:

Color Number of Students

Grey 10

Green 20

Blue 35

Pink 15

Yellow 20

Total 100

Step-by-step explanation:

The equation of the circle is x²2 - 2x + y²2 - 4y = -3.

How to solve?

The equation for a circle centered at the point (h, k) with a radius of length r is given by:

(x - h)²2 + (y - k)²2 = r²2

In this case, the circle is centered at the point (1, 2) and has a radius of length 2. So, we have:

h = 1

k = 2

r = 2

Substituting these values into the equation, we get:

(x - 1)²2 + (y - 2)²2 = 2²2

Simplifying and expanding the squared terms, we get:

(x²2 - 2x + 1) + (y²2 - 4y + 4) = 4

Moving the constant term to the right-hand side, we get:

(x²2 - 2x) + (y²2 - 4y) = -1

Adding 1 to both sides, we get the final equation of the circle in standard form:

(x²2 - 2x + 1) + (y²2 - 4y + 4) = 4

x²2 - 2x + y²2 - 4y = -3

The equation of the circle is x²2 - 2x + y²2 - 4y = -3.

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Answer:

Yes, the c.o.p. is 2.

Step-by-step explanation:

The question of proportionality is answered by directly dividing each y-value (distance) by its associated x-value (time). If ALL of the related pairs give the same quotients, the relationship is proportional and the common quotient is the constant of proportionality.

4/2=2

8/4=2

12/6=2

16/8=2

Answer:

Step-by-step explanation:

,

You can expect to receive the increase of percentage that is 2.5%.

The term "percentage" in mathematics can refer to either numbers or ratios that are stated as fractions of 100. In most cases, they are indicated by "%" or "percent."In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. A% is a number that has neither dimensions nor a defined unit of measurement.

Given,

You received a score of 3.4 on annual review. Merit increases are given out at .5% at a score of 2.6 and it goes up 1% every .4 points.

Score received in the beginning = 2.6

Increase in score as a percentage equals 0.5%

Score increases by 1% for every 0.4 points.

The following rise will occur at 2.6 + 0.4 = 3.0 points.

Increase in percentage: 0.5 + 1= 1.5%

Score = 3.0 + 0.4 = 3.4 points will be the following point increment.

Score increase as a percentage: 1.5 + 1 = 2.5%

You can expect to receive the increase 2.5%

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So, the value of P (X=2 or X=0) is 0.4.

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that it is certain to occur.

For example, if you flip a fair coin, the probability of it landing on heads is 0.5 or 50%, as there are only two possible outcomes (heads or tails) and they are equally likely to occur.

Probability is used extensively in fields such as statistics, mathematics, and science to model and analyze uncertainty and randomness. It is also used in practical applications such as gambling, risk assessment, and decision making.

o find the probability of X being 2 or 0, we need to add the probabilities of the two events.

P(X=2 or X=0) = P(X=2) + P(X=0)

From the given table, we can see that:

P(X=2) = 0.1

P(X=0) = 0.3

Therefore,

[tex]P (X=2 or X=0) = 0.1 + 0.3 = 0.4[/tex]

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Answer: 172z + 19u

Step-by-step explanation: To look up to the power of, use: "^"

2^6

4^5 etc.

The  completed  table is shown below:

starting elevation (feet)

change (feet)

final elevation (feet)

A

+200

75 up

275

B

+200

75 down

125

C

+200

200 down

0

D

+200

+25

225

the additional equation for B is:

final elevation for B = +200 feet - 75 feet

c. The line diagram is attached below.

We can use the formula, to write an addition equation for B

final elevation = starting elevation + change

final elevation for B = +200 feet - 75 feet

We simplify  this equation as:

final elevation for B = +125 feet

We draw a number line diagram for B, we can start at +200 feet (the starting elevation) and then move 75 units down (since the elevation is decreasing by 75 feet).

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Answer:

Volume = 30 cm³

Step-by-step explanation:

The formula for the volume of a box is:

V = width x length x height

Plug in the values given:

V = 2 x 5 x 3

V = 30

Answer:

30 cm

Step-by-step explanation:

Area= length x width x height

5 x 2 x 3

10 x 3 = 30

Solving the equation we get the number of production is ≈366.67

What is equation?

In mathematics, an equation is a mathematical statement that is built by  two expressions connected by an equal sign('='). For example, 3x – 8 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 8.

you just hired a new employee to work in your bakeshop. In one hour the employee burned 55 chocolate chip cookies. if this represented 15% of the days production.

Let , I planned to produce x cookies on that day.

15% is burned.

So the amount of burned cookies are (15x)/100

It is given that the amount of burned cookies are 55.

Equating both values we get,

                 (15x)/100= 55

So the equation is

                         (15x)/100= 55

Solving the equation we get,

                         x= (55×100)/15

                            ≈366.67

Hence, the number of production is ≈366.67.

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The fraction of an hour does it take  Queisha to answer each question is 1/27 hour.

What is fraction?

Part of a whole is a fraction. The quantity is written as a quotient in mathematics, where the numerator and denominator are divided. Each is an integer in a simple fraction. Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.

Here the time taking to complete 9 home work =  1/3 hour.

Then time taking for completing 1 home work = x.

Then,

=>  9 = 1/3

      1 = x

=> x = [tex]\frac{\frac{1}{3}}{9}[/tex]

=> x = 1/27

Hence  fraction of an hour does it take  Queisha to answer each question is 1/27 hour.

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The solutions of 12x³ - 3x² , a cubic polynomial of one variable x ,using method of factorisation is 0 , 0 and  [tex]\frac{1}{4}[/tex].

What is polynomial?

Variables, coefficients, addition, subtraction, multiplication, and non-negative integer exponents are all components of a polynomial, which is a type of mathematical statement. The "language" of mathematics and algebra includes polynomials extensively. As a result of mathematical operations, they are employed to express numbers in almost every area of mathematics. In other kinds of mathematical expressions, including rational expressions, polynomials are also used as "building blocks." Polynomials having number of solutions equal to its degree. Numbers that evenly split into another number are called a number's factors. A number is written as the sum of smaller numbers when it is factorised.

Given polymonial function=12x³ - 3x²

Taking factors of each term:

1st term= 12x³

factors=2. 2 . 3 . x . x . x

2nd term= 3x²

factors=3 . x . x

The highest common factor of both terms= 3 . x . x

Taking common factor out of each term, we get:

12x³ - 3x² = 0

3 . x . x(4x) - 3 . x . x(1) = 0

3x² (4x) - 3x²(1) = 0

3x² [ 4x - 1] = 0

This is factorised form of given equation.

To find solution, equate each factor to zero

3x²=0 and  [ 4x - 1] = 0

Using 3x²=0, we get x =0

Using  [ 4x - 1] = 0, we get x =   [tex]\frac{1}{4}[/tex].

The total solutions must be 3 as the highest power of polynomial is 3.

Solutions are 0,0,  [tex]\frac{1}{4}[/tex].

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Refer to attachment for complete question

When converting a measurement from one unit to another, the conversion factor is a ratio of equal measurements.

In this instance, we are determining the corresponding lengths in centimetres, metres, and inches.

We must locate the conversion factors and use them in order to finish the table of equivalent measurements. We multiply by 100 to convert Metres to centimetres.

We multiply by 0.01 to change from centimetres to metres.

We can write 2.54cm to represent the number of centimetres needed to equal one inch. One centimetre is equal to 0.39 inches in terms of inches.

We can convert 3 inches to centimetres by using the conversion factor from issue 4. 7.62 centimetres are equal to 3 inches times 2.54 centimetres per inch.

In issue number four, the conversion factors are inches to centimetres and centimetres to inches.

The conversion factor for centimetres to inches is 0.39 and for inches to centimetres is 2.54.

We can convert 10 centimetres to inches by using the conversion factor from issue 4. 3.9 inches are equal to 10 centimetres times the unit's 0.39 inch.

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Let's assume that the farmer counted 5x chickens and 8x pigs, where x is a positive integer.

The ratio of chickens to pigs is 5:8, which means that the total number of animals counted is 5x + 8x = 13x.

To find the percentage of animals that are pigs, we need to divide the number of pigs by the total number of animals and then multiply by 100:

(Number of pigs / Total number of animals) x 100

Substituting 8x for the number of pigs and 13x for the total number of animals, we get:

(8x / 13x) x 100 = (8/13) x 100

Simplifying, we get:

(8/13) x 100 ≈ 61.5%

Therefore, approximately 61.5% of the animals counted are pigs.

Brainliest? This took a long time :)

Answer:

A

Step-by-step explanation:

[tex] - \sqrt{ \frac{ {g}^{5} }{ {h}^{5} } } = - {( \frac{ {g}^{5} }{ {h}^{5} }) }^{ \frac{1}{2} } = - {( \frac{g}{h} )}^{ \frac{5}{2} } [/tex]