solve pls brainliest

To solve this problem we use the following property of angles in parallel lines:

If two lines are parallel (in this case the horizontal lines) the angles marked in the same color are equal.

Step 1. Identify the angles that are equal.

Using the previous property, we can find the angles that are equal:

Again, the angles in the same color are equal.

Step 2. Find an equation to solve for x.

Since the angle 10x+10 is equal to the angle 12x-16, the equation we have to solve is:

Step 3. Solve for x:

the first step to solve for x is to have the terms that contain the x on the same side of the equation, for that reason, we need to subtract 10x to both sides:

Combining the like terms on the left side:

The next step to solve for x is to add 16 to both sides so that we have the x term alone on the left side:

The last step to solve for x is to divide both sides by 2:

Step 4. To find angle 1 and 2 we need to find angle 10x+10 first:

For reference, let's show this in the diagram:

Step 5. Since angle 1 is next to the 140° angle, we use the property that tells us that the sum of the angles on top of a line is 180°:

Solving for angle 1:

Step 6. Note that in the diagram ∡1 and ∡2 are in the same color, thus ∡1 and ∡2 are equal:

Step 7. Find ∡3

As you can see on the diagram:

The red angles are equal.

This means that the 140° angle is equal to angle 3:

Answer:

The range is the set between all of the possible output values, which always shown on y-axis by identify any given domain and then finding the range of any functions is by taking graphs into consideration.

To discover the area and variety, we without a doubt remedy the equation y = f(x) to decide the values of the unbiased variable x and gain the area. To calculate the variety of the feature, we without a doubt explicit x as x=g(y) after which discover the area of g(y).

Because the area refers back to the set of viable enter values, the area of a graph includes all of the enter values proven at the x-axis. The simplest approach of locating the variety of a feature, say y = f(x), is to explicit x as g(y) and pick out the area set for g(y). This might be the variety for the given feature f(x).

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Answer:

•x = 45° and

•y = 45°

Step-by-step explanation:

Given,

O is the centre of the circle

Let P be the exterior point

PA is the tangent

The angle between the radius of the circle and the tangent at the point of contact is 90°

angle BAP = 90°

So, ∆ BAP is a right angled triangle

Given that

BA and AP are equal

⇛angle APB = angle ABP

Since the angles opposite to equal sides are equal.

x = y

We know that

The sum of all angles in a triangle is 180°

⇛∠BAP+∠APB+∠ABP

Substitute the value in equation then, we get

⇛90°+x+y = 180°

⇛90°+x+x = 180°

⇛90°+2x = 180°

⇛2x = 180°-90°

⇛2x = 90°

⇛x = 90°/2

⇛x = 45°

⇛y = 45°

.°. x = y = 45°

Answer: Hence, the value of x = 45° and y = 45°.

Note: The angle between the radius of the circle and the tangent at the point of contact is 90°.

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The domain of fg will be the intersection of the domains of f(x) and g(x), which is all real numbers. Domain of fg: (-∞, +∞)

To find f - g, we subtract the function g(x) from the function f(x):

f - g = f(x) - g(x) = (5x + 1) - (3x² + 5)

Expanding and simplifying the expression:

f - g = 5x + 1 - 3x² - 5 = -3x² + 5x - 4

The domain of f - g will be the intersection of the domains of f(x) and g(x), which is all real numbers.

Domain of f - g: (-∞, +∞)

To find fg, we multiply the function f(x) by the function g(x):

fg = f(x) * g(x) = (5x + 1) * (3x² + 5)

Expanding and simplifying the expression:

fg = 15x³ + 25x + 3x² + 5

The domain of fg will be the intersection of the domains of f(x) and g(x), which is all real numbers.

Domain of fg: (-∞, +∞)

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The resulting point's coordinates, G', are rotated 90° clockwise around in the origin are (-1 , -1 ).

A coordinate plane is a two-dimensional plane created by the intersection of the y-axis, a vertical line, and the x-axis, a horizontal line. These really are perpendicular lines that cross at zero, which is known as the origin.

Quadrant one (QI) is the upper right fourth of a coordinate plane, where all coordinates are positive. Quadrant two (QII) is the coordinate plane's upper left fourth. Quadrant three (QIII) is the fourth from the bottom left. Quadrant four (QIV) is the fourth from the bottom right.

Point G(1,1)

X= 1 ,Y = 1

We can see that the point lies in the first quadrant because the value of X and Y are the positive.

the coordinates of the resulting point, G'  is rotated 90° clockwise around the origin.

As we know that the quadrant plane is divided into 4 part but if the point G rotates at 90 clockwise the the point will shift to the 4 quadrant and in the 4 quadrant the value of X and Y change And it became negative.

So

The resulting point's coordinates, G', are rotated 90° clockwise around in the origin are (-1 , -1 ).

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This statement best describes the coefficient, 3,700 is "the amount of the initial deposit". which is the correct answer would be option (C).

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

The exponential function is given in the question as:

3700(1.05)^4t

This expression is for the amount that will be in the account, in dollars, after t years.

As per the question,

The coefficient, 3,700 represents the amount of the initial deposit in the given exponential function

Thus, the correct answer would be an option (C).

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Answer:

Simplifying

x = 9

Step-by-step explanation:

Simplifying

9x + -1 = 80

Reorder the terms:

-1 + 9x = 80

Solving

-1 + 9x = 80

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.

-1 + 1 + 9x = 80 + 1

Combine like terms: -1 + 1 = 0

0 + 9x = 80 + 1

9x = 80 + 1

Combine like terms: 80 + 1 = 81

9x = 81

Divide each side by '9'.

x = 9

Answer:

4/15

Step-by-step explanation:

4/10*6/9

2/5*2/3

4/15

Answer:

median: 9

mean:11

mode: 7 or 9

range 13

Step-by-step explanation:

hope it helped!

Answer:

48 cubes

Step-by-step explanation:

A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2 units . how many 1/2 unit cubes does it take to fill the prism

Solution

Volume of a cube=b^3

Where,

b=side length of a cube

b=1/2 units

Volume of a cube=b^3

=(1/2)^3

=1/8 cubic units

Volume of the rectangular prism=6 cubic units

To find out the number of cubes needed to fill the prism, divide the volume of the rectangular prism by the volume of one cube

Number of cubes needed= Volume of the rectangular prism ÷ volume of a cube

=6 ÷ 1/8

=6 × 8/1

=48 cubes

Based on the information provided, the suggested interval (0 < x < 2) could potentially be an interval during which the water balloon's height is increasing.

In general, if the height of the water balloon is increasing, it means that as time progresses, the height of the balloon is getting larger. This corresponds to a positive rate of change of the height with respect to time.

If we have a function that describes the height of the water balloon over time, we can calculate the derivative of that function with respect to time. If the derivative is positive within the interval (0 < x < 2), it means that the height is increasing during that interval.

However, without the specific function or more information, it is not possible to determine with certainty whether the water balloon's height is increasing within the given interval.

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The average change in the volume of water per day is obtained as 0.625  litres.

The rate change of volume is the change of volume with respect to time.

For instantaneous change the derivative of the expression of volume can be taken.

The average change in the volume of water can be obtained as follows,

Average change = Volume of water ÷ Number of days

                            = 2.5 ÷ 4 = 0.625

Hence, the average change in water volume is given as  0.625 liters per day.

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Answer: 2.5%

Step-by-step explanation:

From the question, we are informed that John borrowed $20,000 from Beth and that he pays $500 per month in interest.

The percentage interest rate would be calculated thus:

= Amount paid as interest / Amount borrowed × 100

= 500/20000 × 100

= 2.5%

Answer:186 R6

Step-by-step explanation:

The evaluated function is f(2) = 36

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

f(x) = 6^x

Also, from the question, we have

x = 2

This means that we calculate f(2)

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

f(2) = 6^2

Evaluate

f(2) = 36

Hence, the solution is 36

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Complete question

Evaluate f(x) = 6^x when x = 2

The equation in point-slope form that passes through the point (1,6) and has a slope of -1/2 would be  \(y=\frac{-x+20}{2}\)

What is Point-Slope Form?

In point-slope form, where y1 is the y value of the known point on the line, m is the slope, and x1 is the x value of the known point, (y - y1) = m(x - x1) is written.

Start with the slope-intercept form,

y=mx+b

where, m =slope of line

We are given a point  (x1,y1)  on the line. Plug these into the equation:

y1=mx1+b

And solve for  b :

b=y1−mx1

Now put this back in the slope intercept formula where b was.

y=mx+y1−mx1

A little algebraic rearrangement:

y−y1=mx−mx1

y−y1=m(x−x1)

In this way the slope point form derived.

The point slope form, draws attention to the line's slope and one of the line's points (that is not the y-intercept). Hence, the name point-slope form came to this equation.

1) Equation of point slope form is

         y−y1=m(x−x1)

given point is (1,6)

According to point slope form

             \(y-6=\frac{-1}{2} \\\\y-6=\frac{-x+8}{2} \\\\y=\frac{-x+20}{2}\)

Hence, The equation in point-slope form that passes through the point (1,6) and has a slope of -1/2 would be \(y=\frac{-x+20}{2}\)

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Answer:

To avoid cutting out a fraction of an inch, we need to choose a value of x that is a factor of both 36 inches and 48 inches, since those are the lengths of the sides of the rectangular sheet of cardboard we are using.

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, and 36.

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

The largest factor that both 36 and 48 have in common is 12. However, we can't choose x to be 12 inches because that would mean the length and width of the rectangular box would also be 12 inches, which is too small for our purposes.

Therefore, we should choose x to be the next largest factor that both 36 and 48 have in common, which is 6 inches. This means we will cut six 6-inch by 8-inch rectangles from the cardboard sheet.

The dimensions of the rectangular box will be:

Length = 2x + 2h = 2(6 in) + 2(8 in) = 12 in + 16 in = 28 in

Width = 2x + 2w = 2(6 in) + 2(12 in) = 12 in + 24 in = 36 in

Height = h = 8 in

Therefore, the dimensions of the rectangular box are 28 inches by 36 inches by 8 inches

Answer:

a

Step-by-step explanation:

Over the 30 year period, the values of Minneapolis and St. Paul's values will be: Mean 1.580666667 1.769333333 and Standard Deviation 0.890741799 1.123161779

Using the R software or any other graphing software and typing in the, we get the graphs.

The commands were

qqnorm(c(0.32,0.52,0.77,0.81,0.96,1.2,1.31,1.43,1.62,1.87,1.95,2.1,2.48,3,3.37)) and qqnorm(c(0.47,0.59,0.81,0.9,1.18,1.2,1.35,1.51,1.74,1.89,2.05,2.2,2.81,3.09,4.75))

We see there's a slight difference between the two graphs.

For Minneapolis, the curve goes upwards to 0.4

and the for St. Paul the curve goes downwards to 0.4

The term "mean" refers to the mathematical average of a set of two or more numbers. The arithmetic mean and the geometric mean are two types of means that can be computed. By adding all of the numbers in a set and dividing by the total number of numbers in the set, the arithmetic mean is determined. The standard deviation is a measurement of how widely distributed or how much a group of data differ. A low standard deviation indicates that the values typically tend to be close to the set mean, while a high standard deviation suggests that the values are dispersed over a wider range.

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Answer:

The answer is b. 4*3 2/5.

Step-by-step explanation:

It states 4 times the amount Ruby mixed. Ruby mixed it 3 2/5 solution. So you would right out 4 x 3 2/5.

The speed that an aeroplane is intended to fly at is called its maximum operating speed (VA). With elevations of 12, 15, and 18 degrees, the lift and G-force grow.

 Speed.

It is the rate at which a displacement adapts to its surroundings. A body's speed is a scalar quantity since it is directionless. It is also the rate at which displacement in relation to the environment is shifting in a particular direction.

Here,

The maximum operational speed of an aeroplane is the speed at which it is designed to fly (VA). Elevations of 12, 15, and 18 degrees result in increasing lift and G-force.

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One mathematical idea from this class that I found creative is the concept of Fourier series. I find it creative because it provides a powerful method for representing periodic functions as a sum of simple harmonic functions.

Fourier series is a mathematical tool that allows us to decompose a periodic function into a sum of sine and cosine functions with different frequencies and amplitudes. It was introduced by the French mathematician Joseph Fourier in the early 19th century.

What I find creative about Fourier series is how it enables us to analyze and understand complex periodic functions in terms of simpler components. By expressing a function as a sum of sine and cosine functions, we can break it down into its fundamental frequencies and study their individual contributions.

This concept has numerous applications in various fields, including signal processing, image compression, and physics. It allows us to analyze and manipulate signals and understand their frequency content.

I found it particularly creative when I encountered the idea of using Fourier series to solve differential equations. By expressing a function as a Fourier series, we can often simplify the differential equation and solve it more easily.

Overall, the creativity of Fourier series lies in its ability to provide a unified framework for understanding and manipulating periodic functions, opening up new possibilities for analysis and problem-solving in diverse areas of mathematics and science.

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Answer:

I think number 5

The simplified product in standard form is -3y^4 - 30y.

What is algebraic equation ?

An algebraic equation is a mathematical statement that shows that two expressions are equal. The expressions can include numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.  For example, the equation 2x + 3 = 7 is an algebraic equation. In this equation, x is a variable, and the goal is to find the value of x that makes the equation true. Algebraic equations can be solved by using a variety of techniques, such as isolating the variable on one side of the equation, using inverse operations, or factoring. The solutions of an equation are the values of the variables that make the equation true.

To simplify the expression:

-3(y^2)^2 - 5*6y

First, we can simplify the inner parenthesis: (y^2)^2 = y^4

Next, we can simplify the constants: -3 * y^4 - 5 * 6y

Combining like terms: -3y^4 - 30y

So the simplified product in standard form is -3y^4 - 30y.

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Answer:

3cm or 1.5

Step-by-step explanation:

Long leg = radical of 3

Short leg = 1

Hypotenuse= 2