Find the total surface area of this cone.
Leave your answer in terms of T.
24in
10in
SA = [?] in²
ㅠ
Hint: Surface Area of a Cone = Tre + B
Where = slant height, and B = area of the base
Enter

Answer:

Go with anything, and I mean ANYTHING that is in a numerical order with an outlier

LITERALLY 1,2,3,4,5,6,7,8,9,100

you will get a median of 5.5 but with the high outlier, you will get a mean of 14.5

The equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3.Given two points (-8, 9) and (2, -6). We are supposed to find the equation of the line that passes through these two points.

We can find the equation of a line that passes through two given points, using the slope-intercept form of the equation of a line. The slope-intercept form of the equation of a line is given by, y = mx + b,Where m is the slope of the line and b is the y-intercept.To find the slope of the line passing through the given points, we can use the slope formula: m = (y2 - y1) / (x2 - x1).Here, x1 = -8, y1 = 9, x2 = 2 and y2 = -6.

Hence, we can substitute these values to find the slope.m = (-6 - 9) / (2 - (-8))m = (-6 - 9) / (2 + 8)m = -15 / 10m = -3 / 2Hence, the slope of the line passing through the points (-8, 9) and (2, -6) is -3 / 2.

Now, using the point-slope form of the equation of a line, we can find the equation of the line that passes through the point (-8, 9) and has a slope of -3 / 2.

The point-slope form of the equation of a line is given by,y - y1 = m(x - x1)Here, x1 = -8, y1 = 9 and m = -3 / 2.

Hence, we can substitute these values to find the equation of the line.y - 9 = (-3 / 2)(x - (-8))y - 9 = (-3 / 2)(x + 8)y - 9 = (-3 / 2)x - 12y = (-3 / 2)x - 12 + 9y = (-3 / 2)x - 3.

Therefore, the equation of the line that passes through the points (-8, 9) and (2, -6) is y = (-3 / 2)x - 3. Thus, the answer is (-3/2)x - 3.

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Answer:

1. y = 2x² - 4

2. y = x² -2x

3. y = x² -2x + 1

Step-by-step explanation:

1. y = 2x² - 4 (not + 4 but it is not given?)

2. y = x² -2x

3. y = x² -2x + 1

Answer:

It is number 2

Step-by-step explanation:

Answer:

incomplete question friend

Answer: 70.884

Step-by-step explanation:

Effective leadership can be demonstrated in many different ways, but here are a few examples of actions that may indicate effective leadership by a group leader:

1. Clear communication: A group leader who communicates clearly and effectively with their team is more likely to build trust and respect among the group.

2. Empathy and emotional intelligence: A leader who demonstrates empathy and emotional intelligence can help build a positive team culture by understanding and acknowledging the feelings and needs of their team members.

3. Delegation and empowerment: An effective leader knows how to delegate tasks and responsibilities to team members in a way that maximizes their strengths and abilities, while also providing support and guidance as needed.

4. Leading by example: A leader who sets a positive example for their team by modeling the behaviors and attitudes they want to see in their team is more likely to earn respect and trust from their team members.

5. Strategic thinking: A leader who is able to think strategically and make informed decisions based on data and evidence can help steer their team towards success.

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1- This is a rotation matrix because the determinant is 1 and the transpose is equal to the inverse. 2- The line passing through the origin and the point (1, 1, 1) is the axis of rotation. 3- 120° is the angle of rotation.

1. To show that this is a rotation matrix, we need to check that the matrix satisfies the following properties:
- The determinant of the matrix is 1.
- The transpose of the matrix is equal to its inverse.
The matrix that transforms a vector (x1, x2, x3) into (x2, x3, x1) is:
| 0  1  0 |
| 0  0  1 |
| 1  0  0 |
The determinant of this matrix is:
det = 0×0×0 + 1×1×1 + 0×0×0 - 0×0×1 - 1×0×0 - 0×1×0 = 1
The transpose of this matrix is:
| 0  0  1 |
| 1  0  0 |
| 0  1  0 |
The inverse of this matrix is:
| 0  0  1 |
| 1  0  0 |
| 0  1  0 |
Since the determinant is 1 and the transpose is equal to the inverse, this is a rotation matrix.

2. To find the axis of rotation, we need to find the eigenvector of the matrix corresponding to the eigenvalue of 1. The characteristic equation of the matrix is:
| -λ  1  0 |
| 0  -λ  1 |
| 1  0  -λ | = 0
Expanding the determinant, we get:
-λ × (-λ × (-λ)) - 1 × 1 x 1 = 0
λ = 1
The eigenvector corresponding to the eigenvalue of 1 is:
| -1  1  0 | | x1 | = | 0 |
| 0  -1  1 | | x2 |   | 0 |
| 1  0  -1 | | x3 |   | 0 |
Solving this system of equations, we get:
x1 = x2 = x3
So the eigenvector is:
| 1 |
| 1 |
| 1 |
This means that the axis of rotation is the line passing through the origin and the point (1, 1, 1).

3. To find the angle of rotation, we can use the formula:
cosθ = (trA - 1)/2
Where trA is the trace of the matrix A. The trace of the matrix is:
trA = 0 + 0 + 0 = 0
So the angle of rotation is:
cosθ = (0 - 1)/2 = -1/2
θ = 120°
Therefore, the angle of rotation is 120°.

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0.060819 inches per second is the radius of the balloon increasing at the instant that the balloon has a radius of 12 inches

Given that

A large helium balloon is being inflated at the rate of 110 cubic inches per second

radius = 12

volume = \(\frac{4}{3}\) \(\pi\)\(r^{3}\)

            = 4/3 \(\pi\) \((12)^{3}\)

            =7234.55

V = 4/3 πr³

dV/dt = 4/3 (3πr² dr/dt) = 4πr² dr/dt

dr/dt = dV/dt / (4πr²)

dr/dt = dV/dt / (4πr²)

= 110/(4\(\pi\)×(\(12^{2}\)))

= 0.060819 inches per second

0.060819 inches per second is the radius of the balloon increasing at the instant that the balloon has a radius of 12 inches

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Answer:

The second one pictured

Step-by-step explanation:

Sum of the 15 two elements subset of $\{1,2,3,4,5,6} = ( N-1) (N)(N+1)/2

Three elements....two at  time  (1,2) (1,3) (2,3)....sum  =   12

Four elements .... two at a time  (1,2) (1,3) (1,4) (2,3) (2,4) (3,4)  .....sum  =  30

Five elements....two at a time  (1,2) (1,3) (1,4) (1,5) (2,3) (2,4) (2,5) (3,4) (3,5) (4,5)

Note that for N elements taken 2 at a time....the pattern of sums seems to be

= (N-1)(N)(N+1) / 2

For taking 6 elements taking 2 at a time the sum should be

=(5)(6)(7) /2

=210 /2

=105

Therefore, total sum  of those 15 sums  of the elements of each of the 15 two-element subsets of $\{1,2,3,4,5,6\}$ = 105

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Answer:

9 units

Step-by-step explanation:

We know that the area of a square formula is:

\(A=x^{2}\)

We can substitute:

81=x²

take square root of both sides

√81=√x²

9=x

This means that each side is 9 units.

Hope this helps! :)

Answer:

Divisor:D

Divedend: A

Quotient:C

Step-by-step explanation:

The divisor = (x+3), the dividend = (2x³+11x²+18x+9) and the quotient = (2x²+5x+3)

Synthetic division is a method for manually performing Euclidean division of polynomials.

Given that polynomial divisor, dividend and quotient ;

The correct divisor, dividend and quotient are (x+3), (2x³+11x²+18x+9) and (2x²+5x+3) respectively

Hence, The divisor = (x+3), the dividend = (2x³+11x²+18x+9) and the quotient = (2x²+5x+3)

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Answer:

the answer is 6

Step-by-step explanation:

The population density of Orange is approximately 5,448.2 people per square mile (in scientific notation, 5.4482 x 10^3 people/mi^2). The population of Orange is given as 140,560. The area of Orange is given as 25.8 square miles.

To find the population density, we divide the population of Orange by the area of Orange in square miles. The population of Orange is given as 140,560.

The area of Orange is given as 25.8 square miles.

To express 140,560 in scientific notation, we write it as 1.4056 x 10^5.

Similarly, 25.8 can be written as 2.58 x 10^1.

Now, we divide the population by the area:

(1.4056 x 10^5) / (2.58 x 10^1) = 5.4482 x 10^3.

In scientific notation, this can be written as approximately 5.4482 x 10^3 people per square mile.

Therefore, the population density of Orange is approximately 5,448.2 people per square mile.

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Answer:

p=0

Step-by-step explanation:

Answer:

Move all the p's to one side and the number to the other side: 9p + p - 2p - 3p = 7 - 3 5p = 4

Step-by-step explanation:

Answer:

1. The radius is 90 ft.

2. 31.4 cm.

Step-by-step explanation:

1. The way to find the radius with just the diameter, is to divide by two.

2. When finding circumference, you need to multiply the diameter by 3.14 (pi), making it 10 x 3.14.

Answer:

The radius is 90

Step-by-step explanation:

the line in the middle of the circle is the diameter so in order to find the radius you need to find half of the diameter. Half of the diameter (180) is 90 90 the radius is 90.

Answer:  60 cm is the most reasonable length of the perimeter.

60.142857 cm is a more precise length of the perimeter.

61 cm is the perimeter using dimensions of 4¹/₆ by 6

Step-by-step explanation:

There are 6 rectangles with a total area of 150 cm²

The perimeter of the figure consists of 6 short sides and 6 long sides.

The area of an individual rectangle is 150/6= 25

With no exact dimensions given, but from the shape, it is evident that the dimensions are not 5 × 5. Taking the measurements (2.6 by 2.275 cm on my screen) and dividing them, it appears that the sides of the ratio of the side lengths is about  to 7:8 or 0.875

To determine side lengths of the small rectangles, assume that 2(L+w) must be close to 20.  4×6=24, 4+6=10.  5×5=25, 5+5=10. 5.5×4.6=25.3, 5.5+4.6=10.1

4.667/5.333 = 0.875

Using 4²/₃ and 5¹/₃ the perimeter would be 6(10) = 60cm

However, 25÷4²/₃ is actually 5⁵/₁₄ which is 5.357142857,  a bit more than 5.333. So the perimeter would be 60.142857

Alternatively, with slightly different measurements (screen distortion)

4¹/₆ (4.1667)  25 ÷ 4.1667 = 6   This set of side lengths results in a perimeter of 61 cm:  6(4.1667 + 6) = 6(10.1667)= 61 cm

Answer:

\(-6\leq x < 5\)

Step-by-step explanation:

Given compound inequality:

\(31 \geq-4x+7\;\;\;\textsf{and}\;\;\;-4x+7 > -13\)

Solve the first inequality:

\(\begin{aligned}31 & \geq -4x+7\\\\31 +4x& \geq -4x+7+4x\\\\4x+31& \geq 7\\\\4x+31-31 & \geq 7-31\\\\4x & \geq -24\\\\\dfrac{4x}{4} & \geq \dfrac{-24}{4}\\\\x & \geq -6\end{aligned}\)

Solve the second inequality:

\(\begin{aligned}-4x+7& > -13\\\\-4x+7-7& > -13-7\\\\-4x& > -20\\\\\dfrac{-4x}{-4}& > \dfrac{-20}{-4}\\\\x& < 5\end{aligned}\)

Therefore, combining the solutions, the solution to the compound inequality is:

\(\large\boxed{-6\leq x < 5}\)

When graphing inequalities:

To graph the solution:

Answer:

Step-by-step explanation:

455: 5 * 91

455: 5 * 7 * 13

the 5 is easy to find. If some number ends in 5 it is divisible by 5.

91 is not so easy.

91 is not divisible by 2. 91 is an odd number.

It is not divisible by 3. 9 + 1 = 10 which is not divisible by 3

We have already covered 5.  so we start a new series of numbers

91 / 7 = 13 and we are done.

Answer:

5,7,13

Step-by-step explanation:

455

  ↓

91 x 5

  ↓

13 x 7

Answer:

The unit prices will be within the range of $0.77 ≤x≤$0.78

Step-by-step explanation:

If a package 8-count AA batteries cost $6.16 and a package of same 20-count AA batteries cost $15.60, to calculate the unit price, the following steps must be carried out:

8 counts AA batteries = $6.16

A unit price (i.e 1 count) = x

Cross multiplying

8 × x = 6.16 × 1

x = 6.16/8

x = $0.77 for a unit price

Similarly, if 20-count AA batteries cost $15.60, then:

20 counta = $15.60

1 count = x

Cross multiplying

20 × x = $15.60 × 1

x = $15.60/20

x = $0.78 for a unit price

From above calculation, of can be seen that the unit price is almost similar but with a difference of $0.01 ($0.78-$0.77) which is insignificant. Based on this, we can conclude that a unit price of the battery is between the range

$0.77 ≤x≤$0.78

Answer:

The 8-count pack of AA batteries has a lower unit price of 0.77

per battery.

Step-by-step explanation:

Answer:

y=5x+9 because it has the same slope as the original line.

Step-by-step explanation:

The expression simplified form is \(ln(((x + 2) * \sqrt x) / (x^2 + 3x + 2)^2)\)

To calculate the expression:

\((1/7) ln(x + 2)^7 + (1/2) ln x - ln(x^2 + 3x + 2)^2\)

We can simplify it step by step:

\(ln((x + 2)^7)/7 + (1/2) ln x - ln(x^2 + 3x + 2)^2\)

\(ln((x + 2)^7)/7 + (1/2) ln x - 2 ln(x^2 + 3x + 2)\)

\(ln((x + 2)) + (1/2) ln x - 2 ln(x^2 + 3x + 2)\)

\(ln((x + 2) * √x) - ln((x^2 + 3x + 2)^2)\)

\(ln(((x + 2) * \sqrt x) / (x^2 + 3x + 2)^2)\)

So the simplified form of given expression \((1/7) ln(x + 2)^7 + (1/2) ln x - ln(x^2 + 3x + 2)^2\) is

\(ln(((x + 2) * \sqrt x) / (x^2 + 3x + 2)^2)\)

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The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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According to the calculation, 301 people would be needed a room for the probability that two people shared a birthday to be higher than 50%.

To determine, if there were only 200 days in a year, how many people would need to be in a room before the probability that two people shared a birthday exceeded 50%, the following calculation must be performed:

Therefore, 301 people would be needed a room for the probability that two people shared a birthday to be higher than 50%.

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Answer:

h ≈ 2.64ft

Step-by-step explanation:

A = 2πrh + 2πr2

h= A /2πr﹣r = 240 /2·π·5﹣5 ≈ 2.63944ft

Kono Dio Da!!

Answer: The square root of 6 is IRRATIONAL.

Answer:

True is 11/13 and -20 are rational

Step-by-step explanation:

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Answer:

85, 95, 95

Step-by-step explanation:

A = 85

B = 95

C = 95

I hope this helped!

Carla's behavior of putting in extra practices to become faster can be seen as an example of (Option A.) compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

Carla's behavior of putting in extra practices to become faster can be seen as an example of compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

By engaging in extra practices, Carla is attempting to compensate for her lack of speed and improve her performance. This is different from rationalization, which is the act of making excuses for one's behavior, or from regression, which is the act of reverting to a younger age in response to a stressful situation.

Finally, displacement is the act of redirecting one's emotions or anger onto another person or object.

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