What is the surface area of the figure shown? (Use 3.14 for pi.)

Answer:

2/45

Step-by-step explanation:

Total socks:

7 + 8 + 10 + 5 = 30

P(blue) × P(patterned)

8/30 × 5/30

4/15 × 1/6

2/45

Answer:

2/45

Step-by-step explanation:

The total number of socks is 7+8+10 +5

30

P(blue) = number of blue socks / total

           = 8/30 = 4/15

Then we replace it so we have the same number of socks

P(patterned) = number of patterned socks / total

                     = 5/30 = 1/6

P(blue, replace/patterned) = 4/15*1/6

                                             =2/45

Answer:

the answer is 17

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

11/10 or 1 1/10

Step-by-step explanation:

110%=110/100

Now let's simplify 110/100:

11/10

Hope this helped! :)

Answer:

1 1/10

Step-by-step explanation:

Hope this helps and have a great day!!!!

Answer:

50

Step-by-step explanation:

i got it correct on the iready quiz

The graph of the line does not change except only in the y - intercept. The slope of the line remains same.

        y = mx + c

        [m] : slope of line.

        [c] : y - intercept

Given is a graph that shows the relationship between time and the distance a train travels.

From the graph, we can write the coordinates as -

(1, 60) and (2, 120)

So, we can write the slope of the line as -

m = (120 - 60)/(2 - 1)

m = 60/1

m = 60

Therefore, the slope of the line given in the graph will be 60 miles/hr.

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Answer:

We ignore decimal point at first and multiply two variables.

Final is count all decimal points then add it.

Step-by-step explanation:

I. Multiply 104.3 with 10 and ignore the decimal points.

      =  1043 * 10

      =  10430

II. Count all decimal points from two variables,

in this case 104.3 is 1 decimal and 10 is 0 decimal so total decimal is 1 point

     = 1043.0 or 1,043

Back to the question, why 104.3 * 0.10 is 10.43

stepI => 1043 * 1 = 1043 {when 0.10 is the same as 0.1} [decimal 1 + 1 = 2]

stepII => 10.43

Hope that help :)

The solution to the inequality expression 3x + 4 > 16 is x > 4

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

3x + 4 > 16

Subtract 4 from both sides of the expression

So, we have the following representation

3x > 12

Divide by 3

x > 4

Hence, the solution is x > 4

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Answer:

The 3.907 is approximate.

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

Explanation:

x = number of hours that elapse

y = f(x) = number of tokens

If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907

At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.

The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907

------------

Plug in x = 0 to find y = 84. This is the largest value in the range.

The smallest value is y = 0.

The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84

Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.

The x value can be fractional because 3.907 hours for instance is valid.

------------

Extra info:

The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

To calculate the perimeter and area of the square, we can use the formulas:

Perimeter = 4 * side length

Area = side length * side length

Substituting the given side length of 4√5mm into the formulas, we have:

Perimeter = 4 * 4√5mm = 16√5mm

Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²

Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².

Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.

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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

I took the test on plato.

The symbols which correctly relates the two numbers are :

We could relate the two given numbers 100 and 20 on the basis of magnitude and equality.

100 is greater than 20, 100> 20

100 is greater than or equal to 20 , 100 ≥ 20

100 is not equal to 20 , 100≠20

Therefore, the symbols which relates the numbers are :

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Answer:

-6

Step-by-step explanation:

combine like terms- -5x -30=0

move the 30 over-  -5x=30

divide- x= 30/-5

x=-6

Answer:

-6

Step-by-step explanation:

Use the given functions to set up and simplify  

x

.

x

=

−

11

x

−

30

+

6

x

=

0

=

x

=

−

6

Since the rabbit from the previous problem started at 10, it would be at 17 units on the number line after the same three jumps.

In Mathematics, a number line is a type of graph with a graduated straight line which comprises both positive and negative numerical values that are placed at equal intervals along its length.

From the previous problem, the total distance covered by the rabbit is given by:

Total distance = 4 units + 2 units + 1 unit

Total distance = 7 units.

Since the second point is at 10 units and the open circle arrow points to the right of the number line, the rabbit would cover 7 more distance from this point:

Total distance = 10 units + 7 units

Total distance = 17 units.

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Answer:

3/2

Step-by-step explanation:

rise/run

Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.

Uniform acceleration towards the positive direction:

In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.

Uniform acceleration towards the negative direction:

Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.

The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.

Uniform deceleration towards the positive direction:

In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.

The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.

Uniform deceleration towards the negative direction:

Here, the object's velocity decreases in the negative direction, opposing its initial direction.

The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.

In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.

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Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

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Answer:

B) Ground speed: 639 mph; direction 161°

Step-by-step explanation:

165° = 75° South of East = S15°E, therefore;

The component of the speed of the airplane are;

650 × cos(75°) East or x-direction in vector form:\($650 \times \cos \left(75^{\circ}\right) \mathrm{i}$\)

650 × sin(75°) South or negative y-direction in vector form: \($-650 \times \sin \left(75^{\circ}\right) \mathrm{j}$\)

The speed of the airplane is \($650 \times \cos \left(75^{\circ}\right) \mathrm{i}-650 \times \sin \left(75^{\circ}\right) \mathrm{j}$\)  

The speed of the wind in vector form is 25i + 25·√3 j

The combined speed of the airplane and the wind is found as follows;

Combined: \($\left(650 \times \cos \left(75^{\circ}\right)+25\right)\left[\dot{i}+\left(25 \cdot \sqrt{3}-650 \times \sin \left(75^{\circ}\right)\right) \mathrm{j}\right.$\), which gives;

The resultant speed of the airplane, \($\left.R=\sqrt{(} 193.23^{2}+(-584.55)^{2}\right)=615.66$\)

The resultant speed of the airplane, \($\mathrm{R}=615.66 \mathrm{mph}$\)

The direction =\($\arctan ((-584.55) /(193.23))=-71.7^{\circ}$\)

The bearing \($=90^{\circ}+71.7^{\circ}=162^{\circ}$\)

Therefore, the closest option is option B, ground speed: 639 mph; direction 161°

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Answer:

Step-by-step explanation:

The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:

m = 58 + 7

This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.

The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.

To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.

Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.

The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.

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The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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The coefficient of determination is calculated as: 0.520.

The coefficient of determination = the square of the correlation coefficient.

Given the following:

Value of the linear correlation coefficient (r) = -0.721

Therefore, we would have:

The coefficient of determination = (-0.721)²

The coefficient of determination = 0.520

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Answer: the answer is 3x + 5

the answer is 3x + 5

Answer:    140°

Step-by-step explanation:

Heptagon is a seven-sided polygon. So heptagon has 7 angles.

As known the sum of the angles in poligon is

N=180°*(n-2)

So N(7)=180°*(7-2)=900°

if the sum of 2 angles are 200° then  the sum of residual 5 angles is

900°-200°=700°

The remaining 5 angles are equal so each of them is

∠α=700°:5=140°

This problem can be modeled as a binomial distribution with n = 10 trials and p = 0.43 probability of success (very little confidence in newspapers).

(a) The probability of exactly 5 U.S. adults having very little confidence in newspapers is 0.161.

To find the probability of exactly 5 U.S. adults having very little confidence in newspapers, we use the binomial probability formula:

P(X = 5) = (10 choose 5) * \((0.43)^{5}\) * \((1-0.43)^{5}\) = 0.161

So the probability of exactly 5 U.S. adults having very little confidence in newspapers is 0.161.

(b) The probability of at least 6 U.S. adults having very little confidence in newspapers is 1 - P(X < 6) = 0.123.

To find the probability of at least 6 U.S. adults having very little confidence in newspapers, we can use the complement rule and calculate the probability of having 0 to 5 U.S. adults with very little confidence in newspapers:

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

Using the binomial probability formula for each value of X, we get:

P(X < 6) = 0.002 + 0.016 + 0.064 + 0.161 + 0.288 + 0.346 = 0.877

So the probability of at least 6 U.S. adults having very little confidence in newspapers is 1 - P(X < 6) = 0.123.

(c) To find the probability of less than 4 U.S. adults having very little confidence in newspapers is 0.243.

we can use the binomial probability formula again:

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula for each value of X, we get:

P(X < 4) = 0.002 + 0.016 + 0.064 + 0.161 = 0.243

So the probability of less than 4 U.S. adults having very little confidence in newspapers is 0.243.

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14.

\(\frac{x^2-4y}{2}\)

\(\frac{(4)^2-4(-3)}{2}\)

\(\frac{16-(-12)}{2}=\\ \\\frac{16+12}{2}=\\ \\\frac{28}{2}=\\ \\14.\)

3.2 x 10^4

To express the number as standard notation, move the decimal point in the base number the number of spaces indicated by the exponent. Since the exponent is positive, move the decimal point to the right.

When run out of numbers add zeros.

32000

Step-by-step explanation:

{0,1,2,3,4,5,6,7,8,9}--set of numbers from 0 to 9

{2,3,5,7}---set of prime numbers from 0 tp 9

there are 10 numbers in the first set and 4 numbers in the second set.

4/9 is the probability that the digit he selects is a prime number

Hope that helps :)

Answer:

x=(-4+√-200)/-2

x=(-4-√-200)/-2

Step-by-step explanation:

Answer:

No real solutions is correct

Step-by-step explanation:

−x^2+4x=54

Move 54 over

−x^2+4x-54=0

Pull out -2

-2(x^2-4x+54)

Solve for the factors

It must multiply to 54 and add to -4

There are no whole number answers.

Hope this helps! Please mark brainliest :)

The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.

To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.

The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.

The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -A and b = 250. Plugging in these values, we get:

x = -250 / (2 * (-A))

= 125 / A

To find the maximum revenue, we substitute this value of x into the revenue equation:

R = -A * (125 / A)^2 + 250 * (125 / A)

= -A * (15625 / A^2) + (31250 / A)

= -15625 / A + 31250 / A

= 15625 / A

The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.

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Answer:

The angular velocity of Earth is π/12 radians per hour.

The angular velocity of Earth is 2π radians per day.

Step-by-step explanation:

A full circumference of a circle (as the Equator line on Earth) is 2π radians.

Since the planet does a full revolution in 24 hours... that means it makes a full turn in a day.

So, we can see that in a day, the planet rotates 360 degrees... or 2π radians per day!

Now, if you want to find the angular velocity per HOUR... you divide that by 24... so  2π/24 = π/12 radians

So, we can also say it does π/12 radians per hour.