what is 424.12 rounded to the nearest 10th
ASAP

Answer:

Q1) x = 17    ||     Q2) x = 21

Step-by-step explanation:

Q1. \(\frac{x-2}{3} =5\)

\(x-2 = 5*3\)

\(x-2=15\)

\(x=15+2\)

\(x=17\)

Q2. \(\frac{x}{3} -2= 5\)

\(\frac{x}{3}=5+2\)

\(\frac{x}{3} =7\)

\(x=3*7\)

\(x=21\)

Answer:

1. congruent

2. supplementary

Answer:

Step-by-step explanation:

a. 20,000 people because the more people you ask the more likely it is that you get a more accurate answer

b. because it would be more difficult to ask 20,000 people a question than 100 or 2000 people. it would take more time/effort/energy/resorces.

Answer:

5,615 km.

Step-by-step explanation:

The first flight, she traveled for 3 hours at a speed of 625 km/h.

\(\frac{625}{1} =\frac{x}{3}\)

x = 625 * 3

x = 1,875.

The first flight, she traveled 1,875 km.

The second flight, she traveled for 4.25 hours at a speed of 880 km/h.

\(\frac{880}{1} =\frac{x}{4.25}\)

x = 880 * 4.25

x = 3,740.

The second flight, she traveled 3,740 km.

So, in total, she traveled 1875 + 3740 = 5,615 kilometres.

Hope this helps!

Answer:

yes, by AAA~

Step-by-step explanation:

to find the missing angles subtract 180 - 125 - 27 = 28

then we have all of the angles and we can see they are congruent

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

2×3=6

Have a nice day!

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The capital letter H has 2 reflectional symmetry and 2 rotational symmetry.

A figure has reflectional symmetry if it can be reflected across a line and still look the same. For the capital letter H, there is two lines of symmetry, which is the vertical line and horizontal line that divides the letter into two equal halves. Reflecting the letter across this line produces the same letter. So, the H has only 2 reflectional symmetries.

A figure has rotational symmetry if it can be rotated by some angle and still look the same. For the capital letter H, if we rotate it 180 degrees and 360 degrees about the center point of the letter, it will look the same. There is no other angle of rotation that produces the same letter. Therefore, the H has only 2 rotational symmetries.

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--The question is incomplete, answering to the question below--

"How many reflectional symmetries does this figure have?

Enter your answer

___ reflectional symmetries

How many rotational symmetries does this figure have?

Enter your answer

___ rotational symmetries"

The measurements in millimeters of each folded leaflet are 210 mm by 99 mm.

millimetre (mm), also spelled millimetre, unit of length equal to 0.001 metre in the metric system and the equivalent of 0.03937 inch in the imperial system.

When an A4 sheet of paper is folded in thirds, it yields three equal sections with widths of 210/3 = 70 mm and heights of 297 mm. As a result, each folded leaflet will be 210 mm by 99 mm (since 297/3 = 99).

As a result, each folded leaflet measures 210 mm by 99 mm in millimetres.

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The singular matrix that differs from a by the smallest possible amount is [σ1   σ2]

The term called matrix is defined as a set of numbers arranged in rows and columns so as to form a rectangular array.

Here we have know that suppose a is a 2 x 2 nonsingular matrix with singular values σ1 > σ2 > 0.

Here we have also know that In particular if some row or column has all its entries equal to zero and then its determinant is zero.

In those cases here we have the whole matrix is called singular.

As we all know that if X is a non-singular matrix which means that if none of its entries are zero then the determinant of X will not be zero.

So, the singular form of the matrix is written as,

=> [σ1   σ2]

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Answer:

letter D a(-3,3) to a'(-3,-3)

i hope it can help

Answer:

A

Step-by-step explanation:

it is because of the inverse is across y-axis.

but I feel that should be the answer.

The probability that the person selected is older than 20 years old and watching the drama movie is 0.765.

We have,

The total number of people who watch drama.

= 12 + 20 + 19

= 51

The total number of people who is older than 20 years who watch drama.

= 20 + 19

= 39

Now,

The probability that the person selected is older than 20 years old and watching the drama movie.

= 39/51

= 0.765

Thus,

The probability that the person selected is older than 20 years old and watching the drama movie is 0.765.

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Answer:

62

Step-by-step explanation:

The value of measure of ∠NPQ will be;

⇒ ∠ NPQ = 118°

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The Quadrilateral MNPQ is shown.

Here, Quadrilateral MNPQ is an parallelogram.

So, By definition of parallelogram we have;

⇒ ∠ NMQ + ∠ NPQ = 180°  ..(I)

Since, We have;

⇒ ∠ NMQ = 30° + 32°

                = 62°

So, By equation (i),

⇒ 62 °+ ∠ NPQ = 180°

⇒ ∠ NPQ = 180  - 62

⇒ ∠ NPQ = 118°

Thus, The value of measure of ∠NPQ = 118°

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Answer:

Your answer is dc

Step-by-step explanation:

Using a geometric sequence, it is found that:

a) The explicit formula is: \(a_n = 250000(2.1)^{n-1}\).

b) The value of her collection 9 years after she started tracking is of $94,557,148.

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term.

Item a:

Three years ago, her collection was worth $250,000, hence the first term is \(a_1 = 250000\).

In two years, the collection was valued at $1,102,500, hence the common ratio is:

\(q^2 = \frac{1,102,500}{250,000}\)

\(q^2 = 4.41\)

\(q = \sqrt{4.41} = 2.1\).

Hence, the explicit formula is:

\(a_n = 250000(2.1)^{n-1}\)

Item b:

\(a_9 = 250000(2.1)^{9-1} = 94557148\)

The value of her collection 9 years after she started tracking is of $94,557,148.

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Answer:

Step-by-step explanation:

Tiffany's distance is defined by the equation,

d = 2.5t

Here, d = distance of Tiffany from the starting line

t = time

a). d = 2.5t

    \(\frac{d}{t}=2.5\)

   Tiffany's rate = 2.5 yards per second

b). Since, slope of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by,

   Slope = \(\frac{y_2-y_1}{x_2-x_1}\)

   Therefore, slope of the line passing through two points (0, 10) and (10, 35)

   = \(\frac{35-10}{10-0}\)

   = 2.5 yards per second

    Dion's walking rate = 2.5 yards per second

    Equation that defines the distance of Dione,

    d = mt + b

    Here, m = rate of the walking by Dione

    b = y-intercept

    Hence, equation will be,

    d = 2.5t + 10

c). If d = 60 yards

    For Tiffany,

    d = 2.5t

    60 = 2.5t

     t = 24 seconds

     For Dion,

     d = 2.5t + 10

     60 = 2.5t + 10

     2.5t = 50

      t = 20 seconds

     Therefore, Dion will take less time and finish first.

The distance that the tire would travel after 20 rotations is 1306.9 units

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

A tire has a radius of 10.4. The perimeter of the tire is:

Perimeter = 2π(radius) = 2π(10.4) = 20.8π

The perimeter of the tire is the distance it would move after one rotation. After 20 rotations:

Total distance = 20 * 20.8π = 1306.9

The distance that the tire would travel after 20 rotations is 1306.9 units

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To find the volume of a solid obtained by rotating a region, you'll need to use the method of disks or washers, depending on the specific problem. The terms "long answer" are not relevant to the calculation.

1. Identify the region you want to rotate and the axis of rotation.
2. Set up an integral using the method of disks or washers, depending on the given problem.
  - Disks: Use the formula V = π * ∫[R(x)]^2 dx from x=a to x=b, where R(x) is the radius of the disk and a and b are the bounds of the region.
  - Washers: Use the formula V = π * ∫([R(x)]^2 - [r(x)]^2) dx from x=a to x=b, where R(x) is the outer radius and r(x) is the inner radius.

3. Evaluate the integral to find the volume of the solid.

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The rate at which the length of the cylinder is changing can be determined using the formula for the volume of a cylinder and applying the chain rule of differentiation. The rate of change of the length h is found to be -0.8192 in/sec.

The volume V of a cylinder is given by the formula V = πr²h, where r is the radius and h is the length of the cylinder. We are given that V = 128π cubic inches.

Differentiating both sides of the equation with respect to time, we get dV/dt = d(πr²h)/dt. Using the chain rule, this becomes dV/dt = π(2r)(dr/dt)h + πr²(dh/dt).

Since the radius r is decreasing at a constant rate of 0.05 inches per second (dr/dt = -0.05), and the volume V is constant (dV/dt = 0), we can substitute these values into the equation. Additionally, we know that r = 2.5 inches.

0 = π(2(2.5)(-0.05))h + π(2.5)²(dh/dt).

Simplifying the equation, we have -0.25πh + 6.25π(dh/dt) = 0.

Solving for dh/dt, we find that dh/dt = -0.25h/6.25 = -0.04h.

Substituting h = 8 (since V = πr²h = 128π, and r = 2.5), we get dh/dt = -0.04(8) = -0.32 in/sec.

Therefore, the rate at which the length h is changing when the radius r is 2.5 inches is -0.32 in/sec, which is equivalent to -0.8192 in/sec (rounded to four decimal places). The correct answer is (b) -0.8192 in/sec.

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Sure! Here's an example R code that groups the data into five classes and constructs a relative frequency histogram:

R

# Define the data

losses <- c(1, 2, 2, 3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 7, 9, 9, 9, 10, 11, 12, 22, 24, 28, 29, 31, 33, 36, 38, 38, 38, 39, 41, 48, 49, 53, 55, 74, 82, 117, 134, 192, 207, 224, 225, 236, 280, 301, 308, 351, 527)

# Define the class boundaries

class_boundaries <- c(0.5, 5.5, 17.5, 38.5, 163.5, 549.5)

# Group the data into classes

class_labels <- cut(losses, breaks = class_boundaries, labels = FALSE)

# Create a table of class frequencies

class_freq <- table(class_labels)

# Calculate relative frequencies

rel_freq <- class_freq / sum(class_freq)

# Create a relative frequency histogram

hist(losses, breaks = class_boundaries, freq = FALSE, main = "Distribution of Losses", xlab = "Losses (in 10,000's of dollars)")

This code uses the `cut()` function to group the data into classes based on the specified class boundaries.

Then, it calculates the class frequencies using the `table()` function and computes the relative frequencies by dividing the class frequencies by the total number of observations. Finally, it creates a relative frequency histogram using the `hist()` function.

The resulting histogram and the calculated relative frequencies will give you a visual representation and description of the distribution of losses.

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Trigonometric equations can be solved by using trigonometric ratios such as sine, cosine, and tangent. When solving trigonometric equations within a given range, it is important to first identify the period of the function. This can be done by finding the smallest positive value of x that makes the function repeat itself. Once the period is identified, the equation can be solved by finding all the solutions within the given range.

Here's an example problem and the steps to solve it:

Example: Solve the equation sin x = 0.5 for x in the range [0, 2π).

Step 1: Identify the period of the function. Since the function is sin x, the period is 2π.

Step 2: Find the first solution within the given range. Since sin(π/6) = 0.5, x = π/6 is a solution within the given range.

Step 3: Find the next solution by adding the period. Since sin(7π/6) = 0.5 and 7π/6 + 2π = 19π/6 is outside the given range, there are no more solutions within the given range.

Step 4: Write the solution set. The solution set is {π/6}.

Note that in some cases, it may be necessary to use inverse trigonometric functions to find the solutions. For example, if the equation was cos x = -0.5, we would need to use the inverse cosine function to find the solution, since there is no angle whose cosine is -0.5 within the given range.

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Complete question:

How to solve trigonometric equations within given range? State an example.

The remaining 50.4% of the variance has not been accounted for, and it could be due to other factors that are not captured by the two variables being studied.

If the correlation between two variables is .496, it means that 49.6% of the variance has been accounted for. This is because the correlation coefficient measures the strength and direction of the linear relationship between the two variables, and it ranges from -1 to 1.

A correlation of 1 indicates a perfect positive linear relationship, while a correlation of -1 indicates a perfect negative linear relationship. In this case, a correlation of .496 indicates a moderate positive linear relationship.

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Step-by-step explanation:

really ? there is nothing to solve. only to calculate.

you have no calculator ? even the included apps on every computer system can do that.

that is a waste of both of our time.

24 + 19 - 5 = ?

I am sure you can figure that out.

Based on the calculations, the age of this person is equal to 25 years.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In order to solve this word problem, we would assign a variable to the age of this person and then translate the word problem into algebraic equation as follows:

Let x represent the age.

Translating the word problem into an algebraic equation, we have;

x + 65 = 6(x - 10)

Opening the bracket, we have:

x + 65 = 6x - 60

Re-arranging the equation, we have:

6x - x = 60 + 65

5x = 125

Dividing both sides by 5, we have:

x = 125/5

x = 25 years.

In conclusion, we can reasonably infer and logically state that this person's age was 25 years ten (10) years ago.

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Complete Question:

In 65 years I will be 6 times as old as I was 10 years ago. How old am I?

Answer:

Step-by-step explanation:

First let us get the equation of the coordinates

y-y0 = m(x-x0)

Using the coordinates ( - 3, 2 ), ( - 1, 0 )

m = 0-2/-1-(-3)

m = -2/2

m = -1

Substitute m = -1 and (-1, 0) into the formula

y - 0 = -1(x+1)

y = -x-1

f(x) = -x-1

Since f(x) = 2

2 = -x-1

-x = 2+1

-x = 3

x = -3

Hence the value of x is -3

Answer:

11. a) 56.5

11. b) 254.5

Step-by-step explanation:

a). 2 × 3.14 × 9 = 56.52

= 56.5

b). 3.14 × 9^2 = 254.47

= 254.5

Answer:

6/25

Step-by-step explanation:

you add the total number of green and yellow together to equal 12. you then divide this by the total 50 and then simplify!

hope this helps

Answer:

Step-by-step explanation:

1500 x .10= 150

1500 - 150 = 1350

=1350 is the price after following the discount of 10%

Answer:

1350

Step-by-step explanation:

Market price = 1500

Discount = 10%

Price of article after allowing discount = 1500 - (1500* 10/100)

=1500 - 150

= 1350

Answer:

x = 5/3

Step-by-step explanation:

Solve for x:

3 x + 5 = 10

Subtract 5 from both sides:

3 x + (5 - 5) = 10 - 5

5 - 5 = 0:

3 x = 10 - 5

10 - 5 = 5:

3 x = 5

Divide both sides of 3 x = 5 by 3:

(3 x)/3 = 5/3

3/3 = 1:

Answer:  x = 5/3

Step-by-step explanation:

To solve for x, make it the subject of the equation and simplify:

3x + 5 = 10      [subtract five from both sides]

     3x = 5        [divide both sides by three]

       x = ⁵/₃

Answer:

Step-by-step explanation:

You want to know how to determine the y-intercepts of a rational function, and their possible number.

A rational function f(x) is the ratio of two polynomial functions p(x) and q(x):

  f(x) = p(x)/q(x)

As such, both numerator and denominator have single function values for any value of the independent variable. The y-intercept of f(x) is ...

  f(0) = p(0)/q(0)

The values of p(0) and q(0) are simply the constant terms in those respective functions.

The simple way to find the y-intercept is to look at the ratio of the constant terms in the polynomial functions making up the rational function. If that is defined, there is one y-intercept. If it is undefined (q(0)=0), then there are no y-intercepts.

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