When constructing a perpendicular bisector why must the compass opening be greater than 1/2.

Answer:

nine minus x square

The statement that is true about the quadratic functions is:

g(x) > h(x) for x = -1.

Here we have the two quadratic functions:

g(x) = x^2

h(x) = -x^2

Notice that h(x) = -g(x).

Also, g(x) is always positive or zero, while h(x) is always negative, but for x = 0 both have the same value.

g(0) = 0^2 = -0^2 = h(0)

Then the statement that is true is

g(x) > h(x) for x = -1.

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Answer: SO WHAT YOU HAVE TO DO IS

Step-by-step explanation:

After inserting the numbers 35, 85, 103, 60, 15, 100, 57, and 67 into a binary search tree (BST), the resulting tree will be updated to reflect the insertion of these elements.

Initially, we start with an empty tree. The first number, 35, becomes the root of the tree. Then, as we insert subsequent numbers, we compare them with the existing nodes to determine their position in the tree. Next, we insert 85. Since 85 is greater than 35, it becomes the right child of the root. Then we insert 103, which is greater than both 35 and 85, so it becomes the right child of 85.

Moving on to the next number, 60, we compare it with the root. Since 60 is less than 85, we move to the left subtree. However, the left subtree is empty, so 60 becomes the left child of 85. Similarly, we insert 15. It is smaller than 35, so it becomes the left child of 35. Next, we insert 100, which is greater than 85 but less than 103. Thus, 100 becomes the left child of 103.

Finally, we insert 57 and 67. Both of these numbers are less than 85, so they are placed in the left subtree of 85. 57 becomes the left child of 60, and 67 becomes the right child of 57. After inserting the numbers 35, 85, 103, 60, 15, 100, 57, and 67 into a BST, the resulting tree will have the structure that preserves the BST property.

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The given statement "Everyone in this neighborhood owns a car. George lives in this neighborhood. Therefore, George owns a car." is an example of universal instantiation.

Universal instantiation is a valid logical inference rule that allows us to infer a specific instance from a universal statement. It is based on the idea that if a statement applies to every member of a group or category, then it must also apply to a specific individual within that group.

In the given statement, the universal statement is "Everyone in this neighborhood owns a car." This statement asserts that every member of the neighborhood owns a car. By applying universal instantiation, we can infer that George, who is a member of this neighborhood, also owns a car. This inference is valid because George is part of the group described by the universal statement, and thus the statement applies to him as well.

To further understand this concept, let's break down the options provided:

a. Universal instantiation: This is the correct answer. It refers to the process of deriving a specific instance from a universally quantified statement.

b. Existential generalization: This rule allows us to infer the existence of at least one instance based on specific instances. It is not applicable to the given statement.

c. Existential instantiation: This rule allows us to introduce a new instance based on the existence of a specific instance. It is not applicable to the given statement.

d. Universal generalization: This rule allows us to infer a universally quantified statement from specific instances. It is not applicable to the given statement.

In conclusion, the example provided is an instance of universal instantiation because it derives a specific instance (George owning a car) from a universally quantified statement (everyone in the neighborhood owning a car).

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Answer:

7f lenghtg is 29.2

Step-by-step explanation:

Answer:

x ≈ 58.9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing side length.

Step 2: Identify Variables

POV from the angle measure

Angle = 23°

Opposite Leg = 25

Adjacent Leg = x

Step 3: Solve for x

The scale used but Brenda is 1 inch = 5 feet

A scale is used to give context to the user about the size of the area that map covers. It is made by converting real-life measurements into physical measurements for quick calculations.

Brenda measured the middle school and made a scale drawing.

The actual length of the gym = 90 ft.

The length she used in her drawing = 18 inches.

So we will now find the scale used for this drawing,

18 inches = 90 ft.

therefore, 1 inch = 90/18 ft.

             i.e. 1 inch = 5 ft.

Hence, The scale used but Brenda is 1 inch = 5 feet.

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To prove that ¬(p1 ∨ p2 ∨ ⋯ ∨ pn) is equivalent to ¬p1 ∧ ¬p2 ∧ ⋯ ∧ ¬pn using mathematical induction, the following needs to be shown:

Base case: For n = 1, ¬p1 is equivalent to ¬p1.

Inductive step: Assume the proposition holds for n = k, then for n = k + 1, ¬(p1 ∨ p2 ∨ ⋯ ∨ pk ∨ pk+1) is equivalent to ¬(p1 ∨ p2 ∨ ⋯ ∨ pk) ∧ ¬pk+1.

By the induction hypothesis, this is equivalent to (¬p1 ∧ ¬p2 ∧ ⋯ ∧ ¬pk) ∧ ¬pk+1, which is the same as ¬p1 ∧ ¬p2 ∧ ⋯ ∧ ¬pk ∧ ¬pk+1.

Therefore, the proposition holds for all values of n by mathematical induction.

To prove this using mathematical induction, it must first be shown that the proposition holds for the base case, which is when n = 1. In this case, ¬(p1) is equivalent to ¬p1 ∧ ¬p1, which is true.For the inductive step, it is assumed that the proposition holds for n = k, and then it is shown that it also holds for n = k + 1.

To do this, the negation of (p1 ∨ p2 ∨ ⋯ ∨ pk ∨ pk+1) is expanded using De Morgan's laws, resulting in ¬(p1 ∨ p2 ∨ ⋯ ∨ pk) ∧ ¬pk+1.

By the induction hypothesis, the first part of this expression is equivalent to (¬p1 ∧ ¬p2 ∧ ⋯ ∧ ¬pk), and therefore the entire expression is equivalent to ¬p1 ∧ ¬p2 ∧ ⋯ ∧ ¬pk ∧ ¬pk+1. This completes the inductive step, and by mathematical induction, the proposition holds for all values of n.

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Answer:

1:3

Step-by-step explanation:

To simplify the ratio 16:32, we find the greatest common divisor of 16 and 32, and then we divide 16 and 32 by the greatest common divisor.

The greatest common divisor that you can use to simplify 16:32 is 16. Which means the answer to ratio 16:32 simplified is: 1:2

Hope it helps

Answer:

9.6

Step-by-step explanation:

===========================================

Explanation:

Let's find the width of the microscope slide in meters.

1000 mm = 1 m

1 mm = 1/1000 m

1 mm = 0.001 m

50*(1 mm) = 50*(0.001 m)

50 mm = 0.05 m

50 mm = 5 × 10^(-2) m

The microscope slide is 5 × 10^(-2) meters across. Divide this over the width of one hair.

5 × 10^(-2) ÷ 2.5 × 10^(-5)

(5/2.5) × 10^(-2 - (-5) )

2 × 10^(-2 + 5)

2 × 10^3

This converts to the number 2000. So we could have 2000 strands of hair side by side.

Answer:

(A)  2 * 10^3.

Step-by-step explanation:

50 millimeters = 0.05 m

= 5 * 10^-2 meters.

So, we divide this by the diameter of 1 hair:

= (5 * 10^-2) /  (2.5 * 10 ^ - 5)

= (5/2.5) * (10/^-2 / 10^-5)

= 2 * 10^(-2-(-5))

= 2 * 10^3.

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer:

13 marbles

Step-by-step explanation:

25-12=13

Hope this helps you!!!!

Answer:

13

Step-by-step explanation:

m = original number of marbles

m + 12 = 25

Answer:113

Step-by-step explanation:

:D

Answer:113

Step-by-step explanation:i did the math

you can only choose 4 unique ways Step-by-step explanation:

Answer:

The answer is 27.15

this is your equation to your answer step by step

4.40+ 3.25=

7.65

7.65+3.25=10.9

10.9+3.25=14.15

14.5+3.25=17.4

17.4+3.25=20.65

20.65+3.25=23.9

23.9+3.25=

Answer:

x = -4

Step-by-step explanation:

\(3=\frac{4x+31}{5}\)

\(15=4x+31\)

\(-16=4x\)

\(x=\frac{-16}{4}\)

\(x=-4\)

Answer:

x = -4

Step-by-step explanation:

3 = (4x + 31) / 5

5 x 3 = 5(4x + 31)

15 = 4x + 31

15 - 31 = 4x + (31 - 31)

-16 = 4x

-16/4 = 4x/4

x = -4

Answer:

62.29

Step-by-step explanation:

100 - 3(4.25) - 13 - 4(2.99)

= 100 - 12.75 - 13 - 11.96

= 62.29

explanation in the picture

the answer is

62,29

A graph of the point-slope form equation y - 2 = -3/4(x - 6) is shown in the image attached below.

A graph can be defined as a type of chart that's commonly used for the graphical representation of data points on both the horizontal (x-coordinate) and vertical lines (y-coordinate) of a cartesian coordinate.

Mathematically, the point-slope form of a straight line is given by this equation:

y - y₁ = m(x - x₁)

Where:

Given this point-slope form equation:

y - 2 = -3/4(x - 6)

By comparing the given point-slope form equation with the standard point-slope form, we can logically deduce the following parameters:

Slope, m = -3/4

Point at x = 6.

Point at y = 2.

In conclusion, you should input the above parameters into your point-slope form graph as shown in the image attached below.

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Answer:

mean = 10

Step-by-step explanation:

The mean is calculated as

mean = \(\frac{sum}{count}\)

         = \(\frac{6+7+10+12+12+13}{6}\)

        = \(\frac{60}{6}\)

       = 10

The second approximation, x2, in Newton's method to find a root of the equation f(x) = 0 is -9. Given that the tangent line to f(x) at x = 3 passes through the point (13, 3), we can find the second approximation, x3, using the equation of the tangent line.

In Newton's method, the formula for finding the next approximation, xn+1, is given by xn+1 = xn - f(xn)/f'(xn), where f'(xn) represents the derivative of f(x) evaluated at xn. Since the second approximation, x2, is given as -9, we can find the derivative f'(x) at x = 3 by using the point-slope form of a line. The slope of the tangent line passing through the points (3, f(3)) and (13, 3) is (f(3) - 3) / (3 - 13) = (0 - 3) / (-10) = 3/10. Therefore, f'(3) = 3/10.

Using the formula for xn+1, we can find x3:

x3 = x2 - f(x2)/f'(x2) = -9 - f(-9)/f'(-9).

Without the specific form of the equation f(x) = 0, we cannot determine the exact value of x3. To find x3, we would need to evaluate f(-9) and f'(-9) using the given equation or additional information about the function f(x).

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To me, I would rather stick to your cash allowance so as not to be in debt but the choice between using a credit card or cash allowance depends on your individual financial situation and goals. If you are concerned about overspending or managing debt, using a cash allowance might be a better choice.

The Advantages of using cash allowance:

Lastly, No temptation to overspend - When using cash, it's easier to keep track of your spending and avoid overspending compared to using a credit card.

However, if you want to build a positive credit history and take advantage of rewards, a credit card might be a good option for you.

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The dimensions of the rectangle has a width = 12cm and length = 5cm.

In calculating the area of a rectangle, we multiply its length and width.

Let us use the letter x to represent the width, so that the length = x - 7

hence we calculate for the unknown x as follows;

x(x - 7) = 60

expand and equate to zero to derive a quadratic equation

x² + 7x - 60 = 0

by factorisation;

x² - 12x + 5x - 60 = 0

x(x - 12) +5(x -12) = 0

(x + 5)(x - 12) = 0

thus for x + 5 = 0

x = -5

and for x - 12 = 0

x = 12

Therefore, x = 12 is true for the quadratic equation and also for the width = 12 and length = 5cm for the rectangle.

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Answer:

Perimeter=33

Step-by-step explanation:

2x+3=4x-3

0=2x-8

2x=8

x=4

Input 4 as Variable

2x+3=2(4)+3

=8+3

=11

P=3x11

P=33

Answer:

The answer is b.

Step-by-step explanation:

Take the areas of the two rectangles by multiplying the numbers. Then divide the two numbers, in this case, 33.75 and 15.

Answer:  b) The area of the image is 2.25 times larger.

Step-by-step explanation:  !.5 larger in each direction results in  1.5×1.5 which is 2.25 enlargment.

4.5 × 7.5 =33.75   3×5= 15

33.75÷15 = 2.25

Answer: 40

Step-by-step explanation:

Assume Julio's number is x.

The expression would be:

-7 * (x - 15) = -175

x - 15 = -175/-7

x = -175/-7 + 15

x = 40

Answer:

hey hope the given pic are helpful(sorry for my bad writing)

Answer:

Cost price = 1,000 rs

Step-by-step explanation:

Given:

Gain % = 20%

Discount = 5%

Amount of gain = 140

Find:

Cost price

Assume

Cost price = x

Computation:

Market Price = x( 100% + 20% gain)

Market price = 1.2x

Discount = [1.2x][5%]

Discount = 0.06x

Sell Price = 1.2x - 0.06x

Sell Price =1.14x

Profit = Sell Price - Cost price

Profit = 1.14x - x

140 = 0.14 x

x = 1,000 rs

Cost price = 1,000 rs