help! please help me with this math

The measure of the angle between the vectors is approximately 41.41 degrees.

When we join two line segments at a single point, an angle is formed, or we can say, an Angle is a combination of two line segments at a common endpoint. This common point is called Vertex of the angle and the two line segments are sides or arms of the angle formed.The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

To find the angle between two vectors, we can use the dot product formula:

cos(theta) = (u · v) / (|u| |v|)

where u · v is the dot product of u and v, and |u| and |v| are the magnitudes of u and v, respectively.

First, let's calculate the dot product of u and v:

u · v = 3 × 4 + 4 × 3 = 24

Next, we need to calculate the magnitudes of u and v:

|u| = √(3² + 4²) = 5

|v| = √(4² + 3²) = 5

Now we can plug these values into the formula for cosine:

cos(theta) = (u · v) / (|u| |v|)

cos(theta) = 24 / (5 * 5)

cos(theta) = 24 / 25

To find the measure of the angle, we need to take the inverse cosine (or arccos) of this value:

theta = arccos(24/25)

theta ≈ 0.7227 radians or 41.41 degrees

So the measure of the angle between the vectors is approximately 41.41 degrees.

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Answer:

Step-by-step explanation:

To find the result when the number 59 is decreased by 3.9%, we need to first calculate what 3.9% of 59 is.

To do this, we can multiply 59 by 3.9% (or 0.039), which gives us:

59 x 0.039 = 2.301

This tells us that 3.9% of 59 is 2.301.

Next, we need to subtract 2.301 from 59 to get the final result:

59 - 2.301 = 56.699

Therefore, the result when the number 59 is decreased by 3.9% is 56.699.  we could say that if you take 3.9% of 59 and subtract that amount from 59, the answer is 56.699.

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Answer:[tex]18\frac{3}{8}[/tex] yards

Step-by-step explanation:

Formula:

Base x Height ---> [tex]3\frac{1}{2}[/tex] x [tex]5\frac{1}{4}[/tex] = [tex]18\frac{3}{8}[/tex]

Applying the properties of a rhombus, we have:

AB = BD = CD = AC = 11

A rhombus is a type of quadrilateral, which is a four-sided polygon with four angles. A rhombus is a special type of parallelogram in which all four sides are equal in length.

Therefore, we would create an equation to find the value of  using the properties of rhombus:

2x - 3 = x + 4

2x - x = 3 + 4

x = 7

AB = 2x - 3 = 2(7) - 3 = 11

All sides are equal, therefore:

AB = BD = CD = AC = 11

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Symbol notation

A negative real number is any real number that is less than zero.

A positive real number is any real number that is greater than zero.

Zero is neither positive nor negative.

(a)  The negative of z is not greater than 6

If the negative of z is not greater than 6, then it is less than or equal to 6.

-z ≤ 6.

(b)  The negative of m is not less than -6

If the negative of z is not less than -6, then it is greater than or equal to -6.

-m ≥ -6.

Step 1:  Order from least to greatest

51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98

Step 2:  Determine the median of the lower half of the data

There are 12 numbers which means that there is going to be 6 numbers on both sides of the data. So using the first 6 numbers we will be able to determine the median of the lower half of the data.

51, 56, 62, 72, 79, 81

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

[tex](62 + 72) \div 2 = \bold{67}[/tex]

Step 3:  Determine the median of the upper half of the data

So using the first 6 numbers we will be able to determine the median of the upper half of the data.

82, 85, 89, 95, 97, 98

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

[tex](89 + 95) \div 2 = \bold{92}[/tex]

Answer: The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

The width of the rectangle is 5.

The area of a rectangle is given by the formula:

Area = Length x Width

where Length and Width are the measurements of the two adjacent sides of the rectangle.

For example, if a rectangle has a length of 6 units and a width of 4 units, then its area would be:

Area = Length x Width

Let's start by using the formula for the area of a rectangle:

Area = Length x Width

We are given that the area of the rectangle is 30xF²y and that one of its sides (length) is 6xy. Substituting these values into the formula, we get:

30x²y = (6xy) x Width

Simplifying the right-hand side by multiplying 6xy by Width, we get:

30x²y = 6x²y x Width

Dividing both sides by 6x²y, we get:

Width = 30x²y / 6x²y

Simplifying the right-hand side by canceling out the common factors of 6, x², and y, we get:

Width = 5

Therefore, the width of the rectangle is 5.

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A

Step-by-step explanation:

There is 1 number that is a multiple of both 3 and 4.

9 numbers are a multiple of 4 and not 3.

9 numbers are a multiple of 3 and not 4.

1 number is not a multiple of 3 or 4.

Hope this helps!

Answer:

38 stduentstudents

Step-by-step explanation:

2(100)=$200, if 100 students attend.

38(2)=$76

Breaking even means getting back the same amount you spent. The exact answer would be 37.5, but you can't have half a student.

The break-even point for the division is as follows:

The break-even point is the unit or dollar value where the total revenue equals the total costs.

The total costs consist of the fixed and variable costs.

Selling price per unit of the income tax app = $8

The variable cost per unit = $3

Contribution margin per unit = $5 ($8 - $3)

Contribution margin ratio = 62.5% ($5 ÷ $8 x 100)

Fixed cost per month = $20,000

Break-even point in units = Fixed Costs/Contribution margin per unit

= 4,000 units ($20,000 ÷ $5)

Break-even point in dollars = Fixed Costs/Contribution margin ratio

= $32,000 ($20,000 ÷ 62.5%)

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Find the break-even point for the division.

The accrued value of the account in 14 years is $4967.89

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

Using the above as a guide, we have the following:

Amount = P * (1 + 0.25r)ᵗ

Where

P = Principal = 4200

r = Rate = 5.2% = 0.052

t = time = 13

Substitute the known values in the above equation, so, we have the following representation

Amount = 4200 * (1 + 0.25 * 0.052)¹³

Evaluate

Amount = 4967.89

Hence, the amount is 4967.89

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The values of x and y that satisfy the system of equations are x = 8 and y = 4.

To solve for the values of x and y in the system of equations:

x + y = 12

2x + 5y = 36

We can use the method of substitution. Solving the first equation for x, we get:

x = 12 - y

We can substitute this expression for x into the second equation and solve for y:

2(12 - y) + 5y = 36

24 - 2y + 5y = 36

3y = 12

y = 4

Now that we know y is 4, we can substitute this value back into the first equation and solve for x:

x + 4 = 12

x = 8

Therefore, the values of x and y that satisfy the system of equations are x = 8 and y = 4.

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The total cost of the bracelet after tax cost addition would be = $21.2

The initial cost of the bracelet = 20$

The percentage of tax = 6%

The cost of tax = 6/100 ×20/1 = $1.2

The total cost of the bracelet after the addition of tax would be = 20+1.2 = $21.2

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Step-by-step explanation:

the area of a right-angled triangle is

leg1 × leg2 / 2 =

sin(angle)×baseline × cos(angle)×baseline / 2 =

sin(angle)×cos(angle) × baseline² / 2

4 = sin(30)×baseline = 0.5 × baseline

baseline = 4/0.5 = 8 units

Pythagoras gives us the third side = cos(30)×baseline :

8² = 4² + side²

64 = 16 + side²

48 = side²

side = sqrt(48) = sqrt(16×3) = 4×sqrt(3) units

so, the area of the triangle is again

sin(30)×baseline × cos(30)×baseline / 2 =

= 4 × 4×sqrt(3) / 2 = 2×4×sqrt(3) = 8×sqrt(3) units² =

= 13.85640646... units²

Controlled destruction, also known as selective demolition or deconstruction, involves carefully dismantling a building or structure in order to salvage and reuse as many materials as possible. This process can make it easier to build new buildings in several ways:

Minimizes waste: By salvaging and reusing materials from the old building, controlled destruction minimizes the amount of waste generated during the demolition process. This can reduce the need for new materials, which can be costly and time-consuming to source and transport.

Reduces environmental impact: Controlled destruction can also be more environmentally friendly than traditional demolition methods, as it produces less waste and pollution. This can help to minimize the impact on the local environment and reduce the carbon footprint of the construction project.

Provides access to reusable materials: Salvaging materials from the old building can also provide access to high-quality, durable materials that can be used in the construction of the new building. This can save time and money on sourcing new materials, and can also provide an opportunity to incorporate unique and interesting architectural features.

Helps to preserve historical buildings: In some cases, controlled destruction can be used to preserve historical buildings or structures by carefully dismantling them and reusing the materials in a new context. This can help to maintain the cultural and historical significance of the original building, while still allowing for new development and construction in the area.

Overall, controlled destruction can make it easier to build new buildings by minimizing waste, reducing environmental impact, providing access to reusable materials, and helping to preserve historical buildings.

~~~Harsha~~~

The probability that a randomly selected point within the circle falls in the red-shaded circle is 0.25

We have,

The area of the whole circle.

= πr²

Where r = 8

So,

= 3.14 x 8 x 8

= 200.96

Now,

Area of the red shaded circle = πr²

Where r = 4

So,

= 3.14 x 4 x 4

= 50.24

Now,

The probability that a randomly selected point within the circle falls in the red-shaded circle.

= Area of the red shaded circle / Area of the whole circle

= 50.24 / 200.96

= 1/4

= 0.25

Thus,

The probability that a randomly selected point within the circle falls in the red-shaded circle is 0.25

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Answer:

(7x² / 6x - 10)

Step-by-step explanation:

To divide rational expressions, we flip the second fraction (the divisor) and multiply it with the first fraction (the dividend). Then we simplify the resulting expression, if possible.

So,

(7x² /2x +6) ÷ (3x -5/ x+3)

= (7x² /2x +6) * (x+3/3x -5)

= 7x²(x+3) / 2(x+3)(3x -5)

= 7x² / 6x - 10

Therefore, the quotient of the given rational expressions is (7x² / 6x - 10), which cannot be further reduced.

Answer:

2

7x

3

​

+18x+3−

x

5

​

Short Solution Steps

7x

2

/2x+63x−5/x+3

Express  

2

7x

2

​

x as a single fraction.

2

7x

2

x

​

+6×3x−

x

5

​

+3

Multiply 6 and 3 to get 18.

2

7x

2

x

​

+18x−

x

5

​

+3

To add or subtract expressions, expand them to make their denominators the same. Multiply 18x+3 times  

2

2

​

.

2

7x

2

x

​

+

2

2(18x+3)

​

−

x

5

​

Since  

2

7x

2

x

​

 and  

2

2(18x+3)

​

 have the same denominator, add them by adding their numerators.

2

7x

2

x+2(18x+3)

​

−

x

5

​

Do the multiplications in 7x

2

x+2(18x+3).

2

7x

3

+36x+6

​

−

x

5

​

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and x is 2x. Multiply  

2

7x

3

+36x+6

​

 times  

x

x

​

. Multiply  

x

5

​

 times  

2

2

​

.

2x

(7x

3

+36x+6)x

​

−

2x

5×2

​

Since  

2x

(7x

3

+36x+6)x

​

 and  

2x

5×2

​

 have the same denominator, subtract them by subtracting their numerators.

2x

(7x

3

+36x+6)x−5×2

​

Do the multiplications in (7x

3

+36x+6)x−5×2.

2x

7x

4

+36x

2

+6x−10

​

Step-by-step explanation:

PLEASE GIVE ME BRAINLIEST I AM LOOKING FOR A FRIEND

Answer:

From the picture,

∠ABC + ∠DBC = ∠ABD

Substituting with data,

x + (3x + 10) = 90

4x + 10 = 90

4x = 90 - 10

4x = 80

x = 80/4

x = 20

Step-by-step explanation:

The definite integral of ∫ 2t⁻⁴ dt is -2/3 * t^(-3) + C, where C is the constant of integration.

To find the definite integral of ∫ 2t⁻⁴ dt, we can use the power rule of integration. The power rule states that the integral of t^n with respect to t is (t^(n+1))/(n+1), where n is a constant not equal to -1.

Applying the power rule, we have:

∫ 2t⁻⁴ dt = 2 * (t^(-4 + 1))/(-4 + 1) + C

= -2/3 * t^(-3) + C

where;

Thus, the definite integral of ∫ 2t⁻⁴ dt is -2/3 * t^(-3) + C, where C is the constant of integration.

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The calculated degrees of freedom for the t-test is 18

The degrees of freedom (df) for an independent t-test with two samples can be calculated using the following formula:

df = (n1 + n2) - 2

Where n1 is the sample size of the first group and n2 is the sample size of the second group.

In this case, the first sample has N = 8 and the second sample has N = 12.

Therefore, the degrees of freedom for the t-test will be:

df = (8 + 12) - 2

df = 18

So the t-test for this experiment will have 18 degrees of freedom.

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The surface area of the square pyramid is 416.23 ft²

The surface area of a square pyramid is given by the formula:

A = a² + 2a√(a²/4 + h²)

Where a is the base length of the square pyramid and h is the height of the square pyramid.

From the figure, we have: a = 10 ft and h = 15 ft

A = a² + 2a√(a²/4 + h²)

A = 10² + 2*10√(10²/4 + 15²)

A = 100 + 20√(100/4 + 225)

A= 100 + 20√250

A = 416.23 ft²

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Answer:

A

If u plug it into desmos u get a straight line

Answer:0.67

Step-by-step explanation:

The length of ST is 24.

In geometry, a tangent is a line that touches a curve at a single point, without crossing over the curve at that point. This point of contact is called the point of tangency.

For example, in a circle, a tangent is a line that intersects the circle at exactly one point. The tangent line is perpendicular to the radius of the circle at the point of tangency.

Tangents are important in geometry because they allow us to find the slope of a curve at a specific point. The slope of the tangent line at a point on a curve is equal to the derivative of the function representing the curve at that point.

To find the length of ST, we need to find the length of SR and add it to the length of RT.

Using the tangent-tangent theorem, we know that RP is perpendicular to RT at point R. Therefore, angle RPT is a right angle.

We can use the Pythagorean theorem to find the length of RT. Let's call the length of RP "a" and the length of PT "b". Then, we have:

a² = (x+6)² + b² (from right triangle PQR)

a² = (2x-9)² + (b+3)² (from right triangle PSR)

Setting these two equations equal to each other, we have:

(x+6)² + b² = (2x-9)² + (b+3)²

Expanding and simplifying, we get:

x² - 24x + 90 = 0

Solving for x using the quadratic formula, we get:

x = (24 ± √(24² - 4190)) / (2*1) = 15 or 6

Since x cannot be negative, we take x = 15.

Now we can use the Pythagorean theorem to find the length of SR:

a² = (2x-9)² + (b+3)²

a² = (2*15-9)² + (b+3)²

a² = 276 + (b+3)²

We also know that SR = 3, so:

3² = (b+3)²

9 = b² + 6b + 9

b² + 6b - 0 = 0

Solving for b using the quadratic formula, we get:

b = (-6 ± √(6² - 410)) / (2*1) = -3 or 0

Since b cannot be negative, we take b = 0.

Therefore, we have:

a² = (x+6)² + b²

a² = (15+6)² + 0²

a² = 441

So, RT = a = √(441) = 21.

Finally, we have:

ST = SR + RT = 3 + 21 = 24.

Therefore, the length of ST is 24.

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Answer: The reflection of (-8,2) after a reflection over the line y=x is (2,-8)

Step-by-step explanation: The reflection on a graph refers to the preimage that has been reversed.

So, if we take an example of (x,y), over a reflection on the y-axis, then the answer would be (y,x)

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Answer:

5.1

Step-by-step explanation:

x = x+10

6. 42

cross multiply

42x= 6x + 60

42x-6x =60

36x=60

x=1.7

3x= 3×1.7

=5.1

Answer:

A. They are one-dimensional

B. They connect two endpoints

Both statements A and B are true about line segments. Line segments are one-dimensional figures that have two endpoints and connect them with a straight path.

Statement C is not true. Line segments do not have a unit of measure on their own, but their length can be measured using a unit of measure such as inches, centimeters, or meters.

Statement D is not true either. Line segments are flat, one-dimensional objects and cannot grow to become three-dimensional objects. However, multiple line segments can be connected to form a three-dimensional object, such as a cube or pyramid.

Answer:

B is the correct answer

Step-by-step explanation:

The general form of the equation for a circle centered at the origin (0, 0) is x^2 + y^2 = r^2, where r is the radius of the circle. The radius can be calculated as the distance between the center O (0, 0) and point B (4, 5) on its circumference using the distance formula: r = sqrt((x2 - x1)^2 + (y2 - y1)^2) = sqrt((4 - 0)^2 + (5 - 0)^2) = sqrt(16 + 25) = sqrt(41). Therefore, the equation for the given circle centered at O (0, 0) is x^2 + y^2 = 41. The correct answer is B. x^2 + y^2 − 41 = 0.

The function is defined piecewise, and 4 does not fall under any of the conditions where the function is defined. Therefore, the function is not defined for x=4.

So the answer is C, "function is not defined for this value."

Answer:

9

Step-by-step explanation: