How do I simplify this radical?

Answer:

Step-by-step explanation:

$100x0.5x1=$5

Answer:

ASA

Step-by-step explanation:

If STV is congruent to UVT as UTV is congruent to SVT, then TV is a transversal which is congruent to itself. Therefore, reading left to right, the theorem that proves the triangles congruent is ASA because we have two pairs of congruent angles and one side.

The probability of selecting a junior who takes the bus is P (Junior who takes the bus) = 12/200 = 0.06Hence, the probability that a randomly selected student is a junior who takes the bus is 0.06 or 6/100.

The given frequency table on how students get to school among the high school students is represented in the below table:Transportation Walk Bike BusDriveTotalGrade 9 11 10 14 15 50Grade 10 10 7 13 20 50Grade 11 8 6 12 24 50Grade 12 5 8 8 29 50 Total 34 31 47 88 200Given data from the above frequency table, we are interested in finding the probability of a randomly selected student being a junior who takes the bus.SolutionWe know that the total number of students is 200, and the total number of junior students is 50. Hence the probability of selecting a junior is P (Junior) = 50/200 = 0.25Similarly, the number of students who take the bus is 47 and the number of junior students who take the bus is 12.

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The empirical rule, also known as the 68-95-99.7 rule, states that for a bell-shaped distribution, approximately:

68% of the data falls within one standard deviation of the mean

95% of the data falls within two standard deviations of the mean

99.7% of the data falls within three standard deviations of the mean

Using this rule, we can answer the following questions:

A. What percentage of people have an IQ score between 85 and 115?

To find the percentage of people with an IQ score between 85 and 115, we need to find how many standard deviations away from the mean these scores are:

An IQ score of 85 is (85 - 100) / 15 = -1 standard deviation below the mean.

An IQ score of 115 is (115 - 100) / 15 = +1 standard deviation above the mean.

Therefore, the percentage of people with an IQ score between 85 and 115 is approximately the percentage of data that falls within one standard deviation of the mean, which is 68%.

B. What percentage of people have an IQ score less than 70 or greater than 130?

To find the percentage of people with an IQ score less than 70 or greater than 130, we need to find how many standard deviations away from the mean these scores are:

An IQ score of 70 is (70 - 100) / 15 = -2 standard deviations below the mean.

An IQ score of 130 is (130 - 100) / 15 = +2 standard deviations above the mean.

Therefore, the percentage of people with an IQ score less than 70 or greater than 130 is approximately the percentage of data that falls outside of two standard deviations from the mean, which is 5% + 5% = 10%.

C. What percentage of people have an IQ score greater than 130?

To find the percentage of people with an IQ score greater than 130, we need to find how many standard deviations away from the mean this score is:

An IQ score of 130 is (130 - 100) / 15 = +2 standard deviations above the mean.

Therefore, the percentage of people with an IQ score greater than 130 is approximately the percentage of data that falls outside of two standard deviations from the mean, which is 5%. However, this only gives us the percentage of people with an IQ score greater than 130 but less than infinity. To get the percentage of people with an IQ score greater than 130, we need to subtract the percentage of people with an IQ score less than or equal to 130, which is 50% + 34% + 5% = 89%. Therefore, the percentage of people with an IQ score greater than 130 is approximately 11%.

Answer:

y=1/5x-4

Step-by-step explanation:

So, first we're gonna put this into point slope form, (y-y1)=m(x-x1), then we'll convert it. When you plug the numbers in, you get (y+9)=1/5(x+25)

Then, you simplify!

y= 1/5(x+25)-9

y=1/5x+5-9

y=1/5x-4

Hope this helped!

Answer:

1,208.92613

Step-by-step explanation:

this is the answer

To determine the equivalent ratios, we would reduce each ratio to its lowest term. This involves dividing by a common factor till it is no longer divisible. Therefore,

Answer: it’s important because when you do that it makes it easier to remember what’s not a whole number and what is

Step-by-step explanation: the answer is basically the explanation

The volume of the solid formed by revolving the region about the y-axis is (1372/3)π.

The given region is a semicircle with a radius of 7 centered at the origin, so we can find its volume by revolving it about the y-axis using the disk method.

The area of a disk at a distance y from the y-axis is given by π(√(49 - y²))², so the volume of the solid is given by the integral:

V = ∫(from -7 to 7) π(√(49 - y²))² dy

Simplifying the integrand, we get:

V = ∫(from -7 to 7) π(49 - y²) dy

Evaluating this integral, we get:

V = π[(49y - (1/3)y³)](from -7 to 7)

V = π[(49(7) - (1/3)(7³)) - (49(-7) - (1/3)(-7³))]

V = π[686/3 + 686/3]

V = (1372/3)π

So the volume of the solid formed by revolving the region about the y-axis is (1372/3)π.

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Answer:

1/200????????????????

Step-by-step explanation:

Answer:

The line cannot be extended to any point since we are trying to graph a zero that is equivalent to absolutely nothing

Step-by-step explanation:

choose as brainliest

How would you describe the difference between the graphs of f(x) = 2x² and g(x) = -2x²: D. g(x) is a reflection of f(x) over the x-axis.

In Mathematics and Geometry, a reflection over or across the x-axis is represented by this transformation rule (x, y) → (x, -y).

This ultimately implies that, a reflection over or across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative or negative to positive.

In this context, we can reasonably infer and logically deduce that a graph of transformed function g(x) = -2x² would be created by applying a reflection over or across the x-axis to the graph of the parent function f(x) = 2x² as shown in the image attached below.

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The likelihood of the word "BANKRUPT" appearing on the Wheel of Fortune is 1/9 = 11.1%.

The ratio of the number of "1s" to all the other numbers on the spinner determines this probability. The spinner has a total of 8 numbers on it. The spinner has three ones on it. A "1" spinning is 3 out of 8 likely.

Select a direction, get a matrix, locate an eigenvector, normalize it, take its adjoint, multiply by your vector, determine the magnitude of the result, then square that. Finished, that's the likelihood.

Two Bankrupt wedges and one Lose a Turn wedge are also included on the wheel. The contestant's turn is forfeited if they land on either, and the Bankrupt wedge also gets rid of whatever money or rewards they have acquired during the round.

The likelihood of spinning "BANKRUPT" on any given spin of the Wheel of Fortune is 1/9 = 11.1%.

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Answer:

Michael cleans 18 cars in one day

Step-by-step explanation:

The equation should look like this: 90/5 = x

90/5 = 18

x = 18

Hope this helps ya! Keep smiling!

Answer:

18

Step-by-step explanation:

all you have to do is divide 90 and 5

The three true statements are as follows:

In the list, there are several true statements and some of them include the facts that all triangles are polygons, they are closed figures and they have three straight sides.

A polygon is a shape with two or more sides. Triangles ahve three sides, so we can easily address them as polygons. Also, all triangles are closed figures and they also have three straight sides.

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Answer:

Step-by-step explanation:

ear

The answer of 3200 divided by 100 by three different ways is 32.

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.

Now the given division is,  3200 divided by 100.

Since we know that division can be represented in three different way that is,

a) Factoring

b) Long division

c) Synthetic division

So,

a) Factoring 3200 divided by 100 we get,

(2x2x2x2x2x2x2x5x5)/(2x2x5x5)

= 2x2x2x2x2

= 32

b) Long division 3200 divided by 100

      32      

100| 3200

    -  300

         200

       - 200

          000

So,Quotient is 32

remainder is 0.

c) Synthetic division 3200 divided by 100

Let x = 100

Therefore, 3200 = 32x

now to divide 32x/x syntehtic division is given as,

1 |  32  

    1

Hence 32x/x  by synthetic division we get 32 R 0.

Therefore, the required answer is 32.

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The value of sin (α + β) is,

⇒ sin (α + β) = - 135/377

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Angle α in quadrant 3:

y = opposite = 21 and x = adjacent = 20

Then, hypotenuse = √( 21² + 20²)

                            = √ ( 441 + 400)

                            = sqrt( 881)

So, sin α = 21/√881

              = 21 × sqrt(881)/881

And, cos α = 20/sqrt(881) = 20sqrt(881) / 881

Since, Angle β in Quadrant 2:

Hence,  adjacent = -5 and hypotenuse = 13

Then, by Pythagorean,

y = opposite = 12

So, sin β = 12/13, cos β = -5/13

as given,

And, tan β = -13/12

Since, We know that;

sin (α + β) = sin α cos β + cos α sin β

               = 21/√881 × - 5/13 + 20/√881 × 12/13

               = 1/√881 (- 105/13 + 240/13)

               = - 1/√881 (135/13)

              = - 135/377

Hence, The value of sin (α + β) is,

sin (α + β) = - 135/377

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Answer: 4

Step-by-step explanation:

1 third of 30 is 10 and 2/5s of 10 is 4

Answer:

Step-by-step explanation:

its a supplementary angles:

so the equation is add the two equation equals to 180

7x + 9 + 5x + 3 = 180

Answer:

16\(m^{4}\)−81

Step-by-step explanation:

Hope this is correct and it helps :)

Answer:

1. second

2. -200

Step-by-step explanation:

Just did it on e2020

The value of x and y by using the given expressions is x = -5/2 and y = -15/2.

What is an expression?

An expression can be defined as the combination of variables and constants with two or more operations applied to it. The operation can be addition, subtraction, multiplication and division.

Simplifying the expressions for x and y

The given expressions are:

x - y = 5           —--- 1

x + y = -10             —---- 2

Adding the expression 1 and 2, we get,

2x = -5

x = -5/2

Subtracting the expression 1 and 2, we get,

-2y = 15

y = -15/2

Hence, the value of x and y by using the given expressions is x = -5/2 and y = -15/2.

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We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

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Answer:

K = 5m+y/x

Step-by-step explanation:

Let's solve for k.

y=kx+1m(2−7)

Step 1: Flip the equation.

kx−5m=y

Step 2: Add 5m to both sides.

kx−5m+5m=y+5m

kx=5m+y

Step 3: Divide both sides by x.

kx/x = 5m+y/x

Therefore, k = 5m+y/x

\(\dfrac{m^{-6} \cdot n^{-3}}{m^{-13} \cdot n^{-1}}\\\\=m^{-6-(-13)} \cdot n^{-3-(-1)}\\\\=m^{-6+13} \cdot n^{-3+1}\\\\=m^7 \cdot n^{-2}\\\\=\dfrac{m^7}{n^2}\)