Find the measure of arc LN. Fill in the blank with the
number only.
Assume that segments that appear to be tangent are
tangent.

Being Male and driving to work are independent events.

P(Drive | Male) = P(Drive)

Hence, Blank 1 is 'independent event' and Blank 2 is '='.

Probability of being male is,

P(Being male) = 0.54

Probability of driving to work is,

P(Driving to work) = 0.5

Probability of being male and driving to work is,

P(Being male and driving work) = 0.27

And P(Being Male)*P(Driving to work) = 0.54*0.5 = 0.27

Since, P(Being male and driving work) = P(Being male)*P(Driving to work)

Hence, Being Male and Driving to work are independent event.

P(Drive | Male) = P(Male and Drive)/P(Male) = 0.27/0.54 = 0.5

Since, P(Drive) = 0.5

Hence, P(Drive | Male) = P(Drive)

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The area of the green region of the circle is 96.4 ft².

Area is the region bounded by a plane shape.

To calculate the area of the green region of the circle, we use the formula below

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

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The area of the green region in the circle given is expressed as approximately: a. 96.5 square feet.

The sector of a circle is calculated as:

A = ∅/360 * πr², where r is the radius and ∅ is the reference or central angle of the sector.

Given the following:

Central or reference angle (∅) = 180 - 27 = 153 degrees

Radius (r) = 17/2 = 8.5 feet

Plug in the values:

Area of the green region = 153/360 * π * 8.5²

Area of the green region ≈ 96.5 square feet.

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We can prove that the quadratic equation x² + (1 - k)x + k - 3 = 0 has two real roots for all real values of k.

The discriminant of the quadratic equation ax² + bx + c = 0 is given by Δ = b² - 4ac.

If Δ is positive, the equation has two real roots. If Δ is zero, the equation has one real root. If Δ is negative, the equation has two complex roots.

For the given equation, x² + (1 - k)x + k - 3 = 0, we can find the discriminant:

Δ = (1 - k)² - 4(k - 3)

= 1 - 2k + k² - 4k + 12

= k² - 6k + 13

To show that the roots are real for all real values of k, we need to show that Δ ≥ 0 for all k.

Δ = k² - 6k + 13

= (k - 3)² + 4

Since the square of any real number is non-negative, we have (k - 3)² ≥ 0. Therefore, Δ = (k - 3)² + 4 ≥ 4 for all real values of k.

Since Δ is always positive or zero, the quadratic equation x² + (1 - k)x + k - 3 = 0 has two real roots for all real values of k.

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The volume of the cone for B based on the information is 39.25 unit³

The formula for the volume of a cone is:

V = 1/3 πr^2h

Where:

V = Volume

π = 3.14

r = Radius of the base of the cone

h = Height of the cone

Based on the information, the volume of the cone will be:

V = 1/3 πr^2h

V = 1/3 × 3.14 × 2.5² × 6

V = 39.25 unit³

Therefore, the volume of the cone is 39.25 unit³

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Answer:

2.25 units³

Hope this helps!

Step-by-step explanation:

The formula, base, and height are already given so all you have to do is multiply 2 with [tex]3\frac{3}{8}[/tex].

2 × [tex]\frac{9}{8}[/tex]  =  [tex]\frac{9}{4}[/tex]  =  2.25 units³

The calculated value of x in the equation (x + 1) (x - 5) = 16 is 7

From the question, we have the following parameters that can be used in our computation:

(x + 1) (x - 5) = 16

The above expression is the product of two factors

(x + 1) and (x - 5)

And the result is 16

Express 16 as 8 * 2

So, we have

(x + 1) (x - 5) = 8 * 2

By comparison, we have

x + 1 = 8 and x - 5 = 2

When evaluated, we have

x = 7 and x = 7

This means that the value of x in the equation is 7

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Answer: 4m^5-3m^2+2m+21

Step-by-step explanation: you just have to put the exponents int he right order which we always put the highest first so you put 4m^5-3m^2+2m+21 which is the answer

1.33 should be multiplied to the cost of the meal to find the total plus tip in one step.

To find the total cost of the meal plus the 33% tip, Gabriel needs to multiply the cost of the meal by a factor of 1.33 (which represents the original cost plus 33% of the original cost).

So the total cost including the tip can be found by multiplying the cost of the meal by 1.33.

For example, if the cost of the meal was $50, the total cost including the tip would be:

Total cost = Cost of the meal + 33% tip

Total cost = $50 + 0.33($50)

Total cost = $50 + $16.50

Total cost = $66.50

Therefore, Gabriel should multiply the cost of the meal by 1.33 to find the total cost including the 33% tip in one step.

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The best conclusion to make based on the data is B The difference of the means is significant because the rerandomizations show that it is outside the range of what could happen by chance.

Given the details and dot plot, option B) is considered to be the most beneficial conclusion. This would imply that the difference between the means of fleas for two various treatment groups is not merely due to happenstance and is in fact statistically noteworthy.

Examining the randomizations further confirms that this deviation lies out of the expected parameter based on mere chance.

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The correct answers are given below:

D. Multiply/divide both sides by the same non-zero constant

A. Yes

To achieve equity between Equation A and Equation B, one must:

Via combining 1 with the parenthesis of Equation A and conjoining common terms, one begins by distributing the 1 and fusing both sides together to form 5x + 4 = -3.

Afterward, multiplying both sides of the equation by -12 (the same non-zero constant), yields -60x - 48 = 36.

Ultimately, adding 72 to both equities presents the answer to furthering equations, -12x - 48 = -12.

Thus, the resolution rest in choice D- multiply/divide both sides by the same non-zero constant.

By producing Equation B from Equation A through analogous methods on either side of the equation, it is confirmed that the two compilations are equivalent and manifest exact solutions. Therefore, the proper selection for this query is Yes- Choice A.

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A. B. ​ ​ 4 x ​ +1 x+4 ​ =−3 =−12 ​ 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Rewrite one side (or both) using the distributive property (Choice B) B Rewrite one side (or both) by combining like terms (Choice C) C Multiply/divide only one side by a non-zero constant (Choice D) D Multiply/divide both sides by the same non-zero constant 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No

Answer: (10 * 6) + (9 * 6) = 114

Step-by-step explanation:

Using the distributive property, we can write:

19 × 6 = (10 + 9) × 6

= (10 × 6) + (9 × 6) // Distributive property of multiplication over addition

= 60 + 54

= 114

Therefore, 19 × 6 = 114 when using the distributive law.

By solving it as a sequence, it will take 9 years for the club to plant 54 flowers in the courtyard.

The number of years will it take for 54 flowers to grow in the courtyard is determined by solving the planting method as a sequence.

The nth term of the sequence Z is given by:

Z = a1 + (n-1)d

where Z = 54

a1 = 6

n = ?

d = d

Solving for n:

54 = 6 + (n - 1) * 6

48 = (n - 1) * 6

8 = n - 1

n = 8 + 1

n = 9

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A linear equation in slope intercept form for each of this line are as follows;

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

At data point (2, 7) and a slope of -7, a linear equation in slope intercept form for this line can be calculated by using the point-slope form as follows:

y - 7 = -7(x - 2)  

y - 7 = -7x + 14

y = -7x + 21

y = 5x - 6

At data point (-1, -7) and a slope of 1, a linear equation in slope intercept form for this line can be calculated by using the point-slope form as follows:

y - (-7) = 1(x - (-1))  

y + 7 = x + 1

y = x - 8

At data point (6, 7) and a slope of 1/2, a linear equation in slope intercept form for this line can be calculated by using the point-slope form as follows:

y - 7 = 1/2(x - 6)  

y - 7 = x/2 - 3

y = x/2 + 4

At data point (9, 0) and a slope of -2/3, a linear equation in slope intercept form for this line can be calculated by using the point-slope form as follows:

y - 0 = -2/3(x - 9)  

y - 0 = -2x/3 + 6

y = -2x/3 + 6

At data point (5, 19) and a slope of 5, a linear equation in slope intercept form for this line can be calculated by using the point-slope form as follows:

y - 19 = 5(x - 5)  

y - 19 = 5x - 25

y = 5x - 6

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The solution of the equation x - √x + 4 - 2√(x+3) =0 is given by x ≈ 0.449 or x = 2.

The expression is equal to,

x - √x + 4 - 2√(x+3) =0

By rearranging the terms and simplifying the expression as follows,

x - √x + 4 - 2√(x+3) = 0

⇒x + 4 = √x + 2√(x+3)

Square both sides to eliminate the square root,

⇒ (x + 4)² = (√x + 2√(x+3))²

⇒ x² + 8x + 16 = x + 4(x+3) + 4√x√x+3

⇒x² + 8x + 16 -x -4x -12 = 4√x√x+3

⇒ x² + 3x + 4 = 4√x√x+3

⇒x² + 3x + 4 = 4√x√(x+3)

⇒ x² + 3x + 4 = 4√(x²+3x)

Squaring both sides again gives,

⇒ (x² + 3x + 4)² = 16(x²+3x)

Expanding the left side gives,

x⁴ + 6x³ + 17x² + 24x + 16 = 16x² + 48x

Simplifying and rearranging the terms,

x⁴ + 6x³ + x² - 24x + 16 = 0

Factor this equation as follows,

(x² + 4x - 2)(x² + 2x - 8) = 0

The solutions are,

x²+ 4x - 2 = 0 or x² + 2x - 8 = 0

Solve each quadratic equation using the quadratic formula,

For x² + 4x - 2 = 0

x = (-4 ± √(4² - 4(1)(-2))) / (2(1))

⇒ x = (-4 ± √24) / 2

Simplifying the expression under the square root gives,

⇒ x = (-4 ± 2√6) / 2

⇒ x = -2 ± √6

For x² + 2x - 8 = 0

x = (-2 ± √(2² - 4(1)(-8))) / (2(1))

⇒x = (-2 ± √36) / 2

Simplifying the expression under the square root gives,

⇒ x = (-2 ± 6) / 2

⇒ x = -4 or x = 2

Discard the negative solution -2-√6 and -4

As it would lead to a negative value under the square root.

The final solutions are,

x ≈ 0.449 or x = 2

Therefore, the solution of the given equation is equal to x ≈ 0.449 or x = 2.

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The above question is incomplete , the complete question is:

Solve for x.

x - √x + 4 - 2√(x+3) =0

The length of carbon rod is needed to obtain a resistance of 10 ohms is 0.00897 or 8.97 × 10⁻³ meters.

In Mathematics and Science, the resistance of any conductor (wire) in terms of length can be calculated by using this formula:

Length = RA/ρ

Where:

By substituting the parameters, we have:

Length = Rπr²/ρ

Length = [10 × 3.142 × (0.0001)²]/3.5 × 10⁻⁵

Length = 3.142 × 10⁻⁷/3.5 × 10⁻⁵

Length = 0.00897 or 8.97 × 10⁻³ meters.

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Complete Question:

A carbon bar of radius 0.1 mm is used to build a resistor. The resistivity of this material is 3.5 x 10-5 Ω. m. What length of carbon rod is needed to obtain a resistance of 10 ohms?

The pairs of angles that are supplementary angles include the following:

SQT and SQR = Option B

TQP and RQP = Option C

SQR and RQP = Option D

SQT and TQP = Option F

A supplementary angle is the angle that makes up to 180° when both are summed up together.

The angles that are chosen above include the following:

<SQT = 165°

<SQR = 15°

The addition of the both angles = 180°, and therefore is an example of a supplementary angle.

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Answer:

So the smaller number is x = 1 and the larger number is y = 8.

Step-by-step explanation:

substitute y = 3x + 5 into the first equation and solve for x.

y = 2(x + 3) 3x + 5 = 2(x + 3) Expand the parentheses 3x + 5 = 2x + 6 Subtract 2x from both sides x + 5 = 6 Subtract 5 from both sides x = 1

Now we can plug x = 1 into either equation to find y.

y = 2(x + 3) y = 2(1 + 3) y = 2(4) y = 8

The coordinate of the resulting point C' after 270-degree rotation clockwise is (-2, -3).

Given that:

Point, C(-3, 2)

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The coordinate of the resulting point C' after 270-degree rotation clockwise is given as,

C' = (-y, x)

C' = (-2, -3)

The coordinate of the resulting point C' after 270-degree rotation clockwise is (-2, -3).

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The values of the products of the given fractions are 4 and 1 11/16.

Given are fractions we need to divide them,

We know that the in dividing the fraction we just flip the second fraction and change the sign of division by the sign of multiplication,

Here we will use the same concept,

1) 4/5 ÷ 1/5

Flipping the second fraction, and changing the sign of division by the sign of multiplication,

4/5 ÷ 1/5

= 4/5 × 5/1

= 20/5

= 4

Similarly,

2) 2 1/4 ÷ 1 1/3

Here the fractions are given in mixed form, firstly we will change them into proper fractions, then apply the same concept as above,

2 1/4 ÷ 1 1/3

= 9/4 ÷ 4/3

= 9/4 × 3/4

= 27/16

= 1 11/16

Hence the values of the products of the given fractions are 4 and 1 11/16.

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Answer:

Step-by-step explanation:

You want the values of 'a', 'h', and 'k' for the transformed function f(x) = 2·log₄(x +3) -2.

When a function is scaled by the factor 'a' and translated by (h, k), it becomes ...

  f(x) ⇒ a·f(x -h) +k

Comparing the function f(x) = log₄(x) to f(x) = 2·log₄(x +3) -2, we see that  has been scaled by the factor a=2, and translated by (h, k) = (-3, -2).

The values of the transformation constants are ...

__

Additional comment

In the above transformation, the value 'h' represents a translation to the right. If the form f(x+h)+k is used for the transformed function, then h represents a translation to the left. We don't have information regarding what your values of 'a', 'h', and 'k' are supposed to represent, so we have used the usual meaning.

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a.) The value of each angle when 5 is substituted for X would be ;

Y = 55°

Y = 55°W = 75°

Y = 55°W = 75°Z = 45°

b). Chelsea is wrong in her calculation because the total internal angle of a triangle should be 180° and not 175°.

For angle Y;

11x = 11(5) = 55°

For angle W;

15x = 15(5) = 75°

For angle Z;

(8x+5) = 8(5) +5

= 45°

The total angles = 55+75+45 = 175°

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All the points of the vertices are in the shaded region

From the question, we have the following parameters that can be used in our computation:

s ≤ 10 - 0.5t

s ≥ 5 - t

s ≤ 20 - t

s ≥ 0

t ≥ 0

Next, we plot the graphs of the above inequalities

In the graph, we can see that all the points are in the shaded region

Hence, none of the points is not one of the vertices (s, t) of the shaded region

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The height of the planter box is 15 inches.

We have,

The volume of a rectangular prism is given by the formula:

V = l w h

where V is the volume, l is the length, w is the width, and h is the height.

In this case, we know that the length is 12 1/2 inches and the width is 10 inches, and the volume is 1,875 cubic inches.

So we can plug these values into the formula and solve for the height:

[tex]1,875 = (12 \frac{1}{2})\cdot 10 \cdot h[/tex]

Multiplying the length and width, we get:

1,875 = 125h

Dividing both sides by 125, we get:

h = 15

Therefore,

The height of the planter box is 15 inches.

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The given shape of the distribution is not symmetric.

Given that, a box plot shows donations in dollars to charity.

We need to describe the shape of the distribution.

Donations to Charity ($) =

20 40 60 80 100 120 140 160 180 200 220

so, as we can see,

The shape of the distribution is not symmetric since the lengths of each box and whisker are not the same. There is an outlier at 220.

Hence, the given shape of the distribution is not symmetric.

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If 30% children travelling by bus is represented by 360 children, then total number of students who attended the school are 1200.

The "Percent" is a way of expressing a fraction or proportion as a number out of 100. It is a unit of measurement used to represent the relative size or amount of something compared to the whole.

If 30% of the children at a particular school travel by bus and this represents 360 children, we use this data to find total number of children who attend the school.

Let "X" be = total number of children at the school.

We know that 30% of X represents 360 children, so we can write an equation:

⇒ 30% of X = 360,

⇒ 30% × X = 360,

⇒ 0.3 × X = 360,            ...because 30% = 0.3,

⇒ X = 360/0.3 = 1200,

Therefore, there are 1200 students who attend the school.

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The visual that can help you in  creating a  3D structure using rectangular prism and others is given in the image attached.

3D structure creation is the method of planning and building three-dimensional structures or objects utilizing various materials and methods. This may make use of physical development with the use of materials such as wood, metal, and plastic, as well as virtual development utilizing computer program programs.

In virtual 3D structure creation, creators make use of program to make 3D models of structures or objects. These models can be seen and controlled in virtual space, and can be utilized to reenact how the structure  will see and work within the real world.

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See text below



1. Start by creating a rectangular prism

as the base of your structure. This will

be the main structure that includes

the walls and interior rooms.

2. Add a cylindrical tower to one corner of the rectangular prism. Adjust the size and height to your liking.

3. Add another cylindrical tower to the opposite corner of the rectangular

prism. Again, adjust the size and

height to your liking.

4. Add a pyramid-shaped roof to one of the cylindrical towers, and a cone-

shaped roof to the other cylindrical tower.

5. Add a second rectangular prism on top of the first one, with a different orientation or size. This can serve as an additional room or tower.

6. Add a pyramid-shaped roof to the second rectangular prism, and a cone-shaped roof to the cylindrical tower that does not have one yet.

7. Add a rectangular prism

perpendicular to the main structure,

creating an L-shape. This can be a

separate building or an extension of

the main structure.

8. Add a pyramid-shaped roof to the new

rectangular prism, and a cone-shaped roof to the cylindrical tower on the

opposite side of the main structure. 9. Finally, add spheres as decorative

elements to the walls and towers. You can also add other shapes, such as additional rectangular prisms,

pyramids, or cones, as long as you have at least 2 of each of the 5

required shapes.

The x and y values in the triangle are:

x = 58°

y = 26°

Trigonometry deals with the relationship between the ratios of the sides of a triangle with its angles.

To find the x and y values in the triangle, check the attached image for labeling.

In the image:

Triangle ABC is isosceles. Thus,

t = 61° (base angles of isosceles triangles are equal)

x + t + 61 = 180  (sum of angles in a triangle is 180°)

x + 61 + 61 = 180

x = 180 - 61 - 61

x = 58°

x + v = 180 (sum of angles on a straight line is 180°)

58 + v = 180

v = 180 - 58

v = 122°

In triangle ACD:

32 + v + y = 180  (sum of angles in a triangle is 180°)

32 + 122 + y = 180

y = 180 - 32 - 122

y = 26°

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Answer:

Fred doesn't run

Step-by-step explanation:

Fred doesn't run, Fred likes to walk, you obviously don't know Fred enough to answer this question, so tell your teacher how you can get in touch with Fred for a better relationship

let's firstly convert the mixed fractions to improper fractions, then sum them up.

[tex]\stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}}~\hfill \stackrel{mixed}{1\frac{3}{8}} \implies \cfrac{1\cdot 8+3}{8} \implies \stackrel{improper}{\cfrac{11}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{4}+\cfrac{11}{8}\implies \cfrac{(2)5~~ + ~~(1)11}{\underset{\textit{using this LCD}}{8}}\implies \cfrac{10+11}{8}\implies \cfrac{21}{8}\implies 2\frac{5}{8}~miles[/tex]

Freezer B is better to buy in terms of dollars per cubic foot.

We have,

Dimensions of Freezer A = 1 ft x 1 ft x 5 ft

Sale price of Freezer A = $499.99

Dimensions of Freezer B = 1.5 ft x 1.5 ft x 4 ft

Sale price of Freezer B = $149.99

Now, Dollars per cubic foot for Freezer A

= (1 x 1 x 5)/ 499.99

= 0.01

and, Dollars per cubic foot for Freezer B

= (1.5 x 1.5 x 4)/ 149.99

= 0.06

Thus, Freezer B is better to buy in terms of dollars per cubic foot.

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Answer:

-12

Step-by-step explanation:

(-3)4

-3*4

-12

Elaborate ur question about - 34