Sara is 5 years younger than Geoff. What is an equation that relates the age of Sara S and the age of Geoff G?​

According to "SEC-rules", fingerprinting is required for all of "broker-dealer" employees EXCEPT (d) A receptionist at "broker-dealer" which regularly answers calls from customers.

The Fingerprinting is a regulatory requirement imposed by the Securities and Exchange Commission (SEC) for certain broker-dealer employees to undergo background checks. It helps ensure the integrity and security of the financial industry.

The fingerprinting is not required for a receptionist at a broker-dealer who primarily handles customer calls. Receptionists do not have access to sensitive customer funds or engage in activities that would warrant fingerprinting under SEC rules.

The correct option is (d).

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The given question is incomplete, the complete question is

According to SEC rules, fingerprinting is required for all of the following broker-dealer employees EXCEPT

(a) A sales representative that sells only government bonds,

(b) An officer of a national securities exchange,

(c) A manager of a transfer agent that oversees custody of customer funds,

(d) A receptionist at a broker-dealer that regularly answers calls from customers.

The maximum area of the surfboard correct to 2 places is 0.67 m².

Given that a surfboard is in the shape of a rectangle and a semicircle, and its perimeter is to be 4m. We need to find the maximum area of the surfboard, correct to 2 decimal places.

Let the radius of the semicircle be 'r' and the length and breadth of the rectangle be 'l' and 'b' respectively. Perimeter of the surfboard = \(4m => l + 2r + b + 2r = 4 => l + b = 4 - 4r\) -----(1)

Area of surfboard = Area of rectangle + Area of semicircle Area of rectangle = l × b Area of semicircle = πr²/2 + 2r²/2 = (π + 2)r²/2Area of surfboard = l × b + (π + 2)r²/2 -----(2)

We have to maximize the area of the surfboard. So, we have to find the value of 'l', 'b', and 'r' such that the area of the surfboard is maximum .From equation (1), we have l + b = 4 - 4r => l = 4 - 4r - bWe will substitute this value of 'l' in equation (2)

Area of surfboard = l × b + (π + 2)r²/2 = (4 - 4r - b) × b + (π + 2)r²/2 = -2b² + (4 - 4r) b + (π + 2)r²/2Now, we have to maximize the area of the surfboard, that is, we need to find the maximum value of the above equation.

To find the maximum value of the equation, we can differentiate the above equation with respect to 'b' and equate it to zero. d(Area of surfboard)/db = -4b + 4 - 4r = 0 => b = 1 - r Substitute the value of 'b' in equation (1),

we get l = 3r - 3Now, we can substitute the values of 'l' and 'b' in the equation for the area of the surfboard.

Area of surfboard =

\(l × b + (π + 2)r²/2 = (3r - 3)(1 - r) + (π + 2)r²/2 = -r³ + (π/2 - 1)r² + 3r - 3\)

\(-r³ + (π/2 - 1)r² + 3r - 3 = -0.6685 m² \\\)

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Answer:

10 8 6 4 2 hope that helps

Answer:

there is no picture so i cant answer this question

The the coordinate grid containing a U shape with arrows on both ends that opens to the right and passes through the origin is a function. Therefore, the correct option is option 1.

To determine which relation is a function, you should consider these three graphs:

1. A coordinate grid containing a U shape with arrows on both ends that opens to the right, with the bottom portion passing through the origin.

2. A coordinate grid with the graph of a circle centered at the origin and passing through the point (2, 1).

3. A coordinate grid with the graph of a vertical line at x=3.

A relation is a function if each input (x-value) has exactly one output (y-value).

1. The U shape with arrows on both ends that opens to the right is a parabola. In this case, for every x-value, there is only one corresponding y-value. Therefore, this relation is a function.

2. The graph of a circle centered at the origin and passing through the point (2, 1) is not a function. This is because there are x-values that have more than one corresponding y-value (e.g., points on opposite sides of the circle sharing the same x-value). Hence, this relation is not a function.

3. The coordinate grid with the graph of a vertical line at x=3 is not a function either. In this case, every x-value (3) has an infinite number of y-values, which violates the definition of a function.

In conclusion, among the given relations, option 1: the coordinate grid containing a U shape with arrows on both ends that opens to the right and passes through the origin is a function.

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Answer:

x = 19

Step-by-step explanation:

1 = x - 18

1 + 18 = x

x = 19

The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.

We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.

We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.

Using this in the given triangle KLM, we get:

Area = (1/2)(KL)(KM)(sin K),

or, 400 = (1/2)(KL)(45)(sin 25°),

or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.

Thus, we get KL = 42 yards.

Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.

Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

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Answer: b

Step-by-step explanation:

To complete the first space on the table, we need to replace g(x) by 7 and solve for x as:

g(x) = -4x - 1

7 = -4x - 1

7 + 1 = -4x - 1 + 1

8 = - 4x

8/(-4) = -4x/(-4)

-2 = x

So, the first space is -2

Then, for the second space, we need to replace x by 0 and calculate g(x) as:

g(x) = -4x - 1

g(x) = -4*0 - 1

g(x) = 0 - 1

g(x) = -1

So, the second space is -1

The third space is calculated as the first one, replacing g(x) by -13 and solving for x:

g(x) = -4x - 1

-13 = -4x - 1

-13 + 1 = -4x - 1 + 1

-12 = - 4x

-12/(-4) = -4x/(-4)

3 = x

So, the third space is 3

Finally, the fourth space is calculated as the second one, replacing x by -1, so:

g(x) = -4x - 1

g(x) = -4*(-1) - 1

g(x) = 4 - 1

g(x) = 3

So, the fourth space is 3

Answer:

x g(x)

-2 7

0 -1

3 -13

-1​ 3

When diameter is 60 mm, the volume increases at a rate of 22,620 mm³/s.

Step 1: Create an equation that connects a sphere's volume to radius as the first step.

V = 4/3*π*r³

Step 2: Calculate each side's derivative in respect to time (Let the time be "t").

(d/dt)V = (d/dt)(4/3*π*r³)

dV/dt = 4πr²*dr/dt

Step 3: The problem description informs us that the diameter is 600 m, hence r must be 30 mm.

Additionally, it is stated that now the radius of a sphere is expanding at a rate of 2 mm/s; as a result, dr/dt must equal 2 mm/s.

We are interested in dV/dt, or the rate of change of the sphere's volume.

dV/dt = 4π(30mm)²*(2mm/s)

dV/dt = 22,620 mm³/s

So, when diameter is 60 mm, the volume increases at a rate of 22,620 mm³/s.

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the perimeter of the composite figure is 20cm and its area is 37cm².

what is perimeter  ?

Perimeter is the total length of the boundary of a two-dimensional shape or figure. In other words, it is the distance around the outside of a shape. To find the perimeter of a shape, you simply add up the lengths of all its sides.

In the given question,

To find the perimeter of the composite figure, we need to add up the lengths of all the sides.

Starting from the left side of the figure, we have a vertical line segment of length 6cm, followed by a horizontal line segment of length 5cm, then another vertical line segment of length 2cm, followed by a slanted line segment of length 3cm, then another horizontal line segment of length 2cm, and finally, a vertical line segment of length 2cm.

So the perimeter of the composite figure is:

Perimeter = 6cm + 5cm + 2cm + 3cm + 2cm + 2cm

Perimeter = 20cm

To find the area of the composite figure, we can break it down into simpler shapes and add up their areas.

The composite figure can be split into two rectangles, one with dimensions 6cm x 5cm and the other with dimensions 2cm x 2cm, and a right triangle with base 3cm and height 2cm.

The area of the first rectangle is:

Area = length x width

Area = 6cm x 5cm

Area = 30cm²

The area of the second rectangle is:

Area = length x width

Area = 2cm x 2cm

Area = 4cm²

The area of the right triangle is:

Area = (base x height) / 2

Area = (3cm x 2cm) / 2

Area = 3cm²

Therefore, the total area of the composite figure is:

Area = 30cm² + 4cm² + 3cm²

Area = 37cm²

So the perimeter of the composite figure is 20cm and its area is 37cm².

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The height of the person is approximately 0.426 meters or 42.6 cm.

We can use the concept of similar triangles to solve this problem. The height of the building and the length of its shadow form a right triangle, with the height as the opposite side and the shadow as the hypotenuse. The person and their shadow also form a similar right triangle, with the height of the person as the opposite side and the shadow as the hypotenuse.

We can set up the following proportion:

(Height of building)/(length of shadow) = (height of person)/(length of shadow)

48/30 = h/0.8

Solving for h, we get:

h = (48/30) * 0.8 = 0.533 * 0.8 = 0.426

Therefore, the height of the person is approximately 0.426 meters or 42.6 cm.

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Answer:

\(3)y = kx \\ 4)y = kx \\ 5)y = - kx\)

Answer:

the equation is true

Step-by-step explanation:

solve the equation 4x + 6 = 4 + 2(2x + 1). Which choice describes the meaning of his result, 6 = 6?

4x + 6 = 4 + 2(2x + 1)

4x + 6 = 4 + 4x + 2

6 = 4 + 2

6 = 6

Answer:

7:47

Step-by-step explanation:

Here are two ways of solving this:

The video will be half the time of 15:34, so you need to divide the time 15:34 by 2.

Method 1)

Use the tip. The video is 15 minutes and 34 seconds long.

Convert minutes to seconds: 15 * 60 = 900

Add 34 seconds to the 15 minutes: 900 seconds + 34 seconds = 934 seconds

The video is 934 seconds long.

Divide the total seconds by 2: 934/2 = 467

467 seconds = 420 seconds + 47 seconds = 7 minutes and 47 seconds

Answer: 7:47

Method 2)

Divide the minutes by 2 and divide the seconds by 2.

15 minutes and 34 seconds.

Divide minutes by 2: 15/2 = 7.5

Divide seconds by 2: 34/2 = 17

Now we need to add 7.5 minutes and 34 seconds.

0.5 minutes is half a minute, so it's 30 seconds.

7.5 minutes + 17 seconds =

= 7 minutes + 0.5 minute + 17 seconds

= 7 minutes + 30 seconds + 17 seconds

= 7 minutes + 47 seconds

= 7:47

Answer: 7:47

Answer:

They pass through origin

Step-by-step explanation:

Hope maka help

Answer: 4

Step-by-step explanation:

2(a-1.1) = 5.8

2a -2.2 = 5.8

+2.2. +2.2

2/2a = 8/2

a= 4

Hope this helps <3

Answer:

78.7 cubic feet

Step-by-step explanation:

Remember that a hemisphere is half of a sphere, so finding the volume of a hemisphere is really just finding half of the volume of a sphere.

Volume of sphere = (4 * π / 3) * r ^ 3 , where r = diameter / 2.

So, volume of hemisphere = volume of sphere / 2 .

Volume of sphere = (4 * π / 3) * (6.7 / 2) ^ 3 = 157.47914.....

Volume of hemisphere = 157.47914....... / 2 = 78.7396..........

So it would approximately be 78.7 cubic feet

Answer:

is 31

Step-by-step explanation:

cuz  u have to divdie  it to get your  answer.

The probability that it is a female with long hair is 0.75 .

Potential is described by probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability generally refers to the degree to which something is likely to occur. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is. In the probability scale, 0 indicates an impossibility and 1 indicates a certainty. Every event's probability in a sample space is one.

the likelihood of an occurrence, E is

P(E) = The proportion of positive outcomes to all outcomes.

In probability, an event is said to be independent if it is completely unaffected by the occurrence of any other event, and it is considered to be dependent if it is affected by other occurrences.

Using the literature and formulas mentioned above, we have:

Let F stand for the circumstance that the student is a female and L for the circumstance that the student has long hair.

In this illustration, the probability are as follows:

P(F) = 0.60; P(L) = 0.50

P(F AND L) = 0.45 and P(L|F) = 0.75 as a result.

As a result, there is a 0.75 percent chance that a randomly chosen student has long hair.

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It seems like there are some missing or incorrect terms in your equation. However, I can try to provide a general approach to solving a polynomial equation with the terms given.

Let's assume the correct equation is:

To show that this equation holds, you can follow these steps:

If you can provide the correct equation, I'll be more than happy to help you with a more detailed solution!

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Answer:

(0.5, 8.5)

Step-by-step explanation:

use this formula ((x1+x2/2), (y1+y2/2)) if you use desmos graphing calculator and you type this formula in, all you have to do it put in the correct numbers and you get your midpoint.

Hope this helped :)

The midpoint of the segment between the points (−5,13) and (6,4) are (0.5 and 8.5)

We have given that, the points (−5,13) and (6,4)

We have to determine the midpoints

((x1+x2/2), (y1+y2/2))

x1=-5,x2=6,y1=13 and y2=4

-5+6/2=1/2=0.5

and next is,

13+4/2=17/2=8.5

The midpoint of the segment between the points (−5,13) and (6,4) are (0.5 and 8.5)

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Answer:

Denoting 2 desired numbers: x and y, then:

x + y = 17

2x = 3y + 4

<=>

x = 17 - y

2*(17 - y) = 3y + 4

<=>

x = 17 - y

34 - 2y = 3y + 4

<=>

x = 17 - y

5y = 30

<=>

y = 6

x = 17 - 6 = 11

Hope this helps!

:)

To find r'(t), we simply take the derivative of each component of r(t):

r'(t) = (4, 2t)
To sketch the plane curve for t=2, we plug in t=2 into the vector equation to get:
r(2) = (3, 6)

This point represents the position vector r(2). To find the tangent vector at this point, we plug in t=2 into r'(t):
r'(2) = (4, 4)

This vector represents the tangent vector at the point (3, 6). To sketch the curve, we plot the point (3, 6) and draw the tangent vector starting at this point. We can also plot a few other points on the curve to get a sense of its shape. Overall, the curve will look like a parabola opening upwards.
I'd be happy to help you with your question.
Given the vector equation r(t) = (4t - 5, t^2 + 2), we first need to find r'(t), the derivative of r(t) with respect to t.
To find r'(t), we take the derivative of each component with respect to t:
r'(t) = (d/dt(4t - 5), d/dt(t^2 + 2)).
Taking the derivatives, we get:

r'(t) = (4, 2t).
Now, we'll find the position vector r(t) and the tangent vector r'(t) for the given value of t = 2:
r(2) = (4(2) - 5, 2^2 + 2) = (3, 6)
r'(2) = (4, 2(2)) = (4, 4)

The position vector r(2) = (3, 6) represents the point on the plane curve at t = 2, and the tangent vector r'(2) = (4, 4) indicates the direction and rate of change of the curve at that point.
To sketch the plane curve, position vector, and tangent vector, follow these steps:
1. Plot the plane curve using the given vector equation r(t) = (4t - 5, t^2 + 2).
2. Locate the point (3, 6) on the curve, which corresponds to the position vector r(2).
3. Draw the tangent vector r'(2) = (4, 4) starting at the point (3, 6).

By following these steps, you will have sketched the plane curve, position vector r(t), and tangent vector r'(t) for the given value of t = 2.

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The solutions of the given equation, expressed in radians in terms of π, are θ = π/6, 5π/6, 7π/6, and 11π/6, all within the interval [0, 2π).

We start by using the identity sin²(θ) + cos²(θ) = 1. Rearranging the equation, we have cos²(θ) - sin²(θ) = 1 - sin²(θ). Next, we substitute 1 - sin²(θ) as cos²(θ) to obtain cos²(θ) = cos²(θ) - 3sin(θ) - 1. Simplifying further, we have 3sin(θ) + 1 = 0.

To find the solutions, we solve for sin(θ) by subtracting 1 from both sides and dividing by 3, giving sin(θ) = -1/3. The solutions for sin(θ) = -1/3 in the interval [0, 2π) are θ = π/6, 5π/6, 7π/6, and 11π/6.

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Area of a circle formula: area = pi x r^2

R is the radius which is half the diameter.

Area of the clock = pi x 6^2

Area = 36 pi. Square inches ( exact area)

Or using 3.14 for pi = 113.04 square inches

Answer:

It's 10(10+3)

Step-by-step explanation:

10x10 is 100 and 3x10 is 30 which gives you 100+30

Answer:

a) 10(10 + 3)

Step-by-step explanation:

Which expresison is equivalent to 100 + 30 (130)?

a) 10(10 + 3)

10(10) + 10(3)

100 + 30 <== equivalent

130

b) 10(10 + 2)

10(10) + 10(2)

100 + 20 <== NOT equivalent

120

c) 5(20 + 25)

5(20) + 5(25)

100 + 125 <== NOT equivalent

225

d) 10(10 + 4)

10(10) + 10(4)

100 + 40 <== NOT equivalent

140

Therefore, the correct answer is 10(10 + 3)

Hope this helps!

The expected number of colleges to which the student is admitted .2344

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.

Examples of permutations include arranging persons, digits, numbers, alphabets, letters, and colours. Examples of combinations include choosing the menu, the cuisine, the clothes, the subjects, and the team.

Let X= college to which student is admitted

We are given with n=7 and p=1/6

P(X=2)=⁷P₂\(\frac{1}{6^{2} }(1-\frac{1}{6}) ^{7-2}\)

=.2344

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Answer:

4+2 then 3+7 then what is 10x6=60 so 60 is the area

Step-by-step explanation:

Answer:

if you cut it, you would have a sqaure and a small rectangle, and just use a simple method for this, base times height, and for the sqaure it would be 12, and for the small rectangle all you need to do is subtract to find the side, such as seeing 4 for the side of the square the side, so it would be 3 and 1 which is 3 so 12+3 is 15 the area is 15.

Step-by-step explanation:

To calculate the moment of inertia of an object, you need to know its mass and the distance it is from the axis of rotation. In this case, the object has a mass of 12 kg and is distributed 4 meters from the axis of rotation. The formula to calculate the moment of inertia is I = mr^2, where the moment of inertia, m is the mass, and r is the distance from the axis of rotation.

Using this formula, we can calculate the moment of inertia of the object:

I = 12 kg x (4 m)^2

I = 192 kgm^2

Therefore, the moment of inertia of the object is 192 kgm^2.
To calculate the moment of inertia for an object, you can use the following formula:

Moment of Inertia (I) = Mass (m) × Distance² (r²)

Given the object's mass is 12 kg and the mass is distributed 4 meters from the axis of rotation, we can plug these values into the formula:

I = 12 kg × (4 m)²

Now, we'll square the distance:

I = 12 kg × 16 m²

Finally, multiply the mass and the squared distance:

I = 192 kg·m²

So, the moment of inertia of the object is 192 kg·m².

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The flux of F through the surface S is given by the expression -20/3 + 4u + 8/3.

To calculate the flux of F through S, we can use the surface integral:

Φ = ∬S F ⋅ dS

where dS is the vector normal to the surface S.

To find dS, we can compute the cross product of the partial derivatives of r with respect to u and v:

dS = (∂r/∂u) × (∂r/∂v)

Let's calculate these partial derivatives:

∂r/∂u = ⟨1, 0, 2⟩

∂r/∂v = ⟨-2v, 3, 2v⟩

Taking their cross product, we have:

dS = (∂r/∂u) × (∂r/∂v) = ⟨2, -4v, 1⟩

Now, we can evaluate the flux integral:

Φ = ∬S F ⋅ dS = ∬S ⟨y, -2, x + z⟩ ⋅ ⟨2, -4v, 1⟩ dA

Since S is parameterized over the rectangular region 0 ≤ u ≤ 1 and 0 ≤ v ≤ 2, the integral becomes:

Φ = ∫₀² ∫₀¹ ⟨(3v)(-2), -2, (u - v²) + (2u + v²)⟩ ⋅ ⟨2, -4v, 1⟩ dudv

Simplifying, we have:

Φ = ∫₀² ∫₀¹ (-6v + 4v² - 2 + 2u + v²) dudv

To evaluate the flux integral, let's continue with the calculations:

Φ = ∫₀² ∫₀¹ (-6v + 4v² - 2 + 2u + v²) dudv

Integrating with respect to u first, we treat u as a constant:

Φ = ∫₀² [-6v + 4v² - 2 + 2u + v²]u=₀¹ dv

Simplifying the expression inside the integral:

Φ = ∫₀² (-6v + 4v² - 2 + 2u + v²) dv

Integrating each term separately:

Φ = [-3v² + (4/3)v³ - 2v + 2uv + (1/3)v³] evaluated from v=0 to v=2

Φ = [-3(2)² + (4/3)(2)³ - 2(2) + 2u(2) + (1/3)(2)³] - [-3(0)² + (4/3)(0)³ - 2(0) + 2u(0) + (1/3)(0)³]

Φ = [-12 + (32/3) - 4 + 4u + (8/3)] - [0 - 0 + 0 + 0 + 0]

Φ = [-20/3 + 4u + 8/3]

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the complete question is:

Calculate the flux of the vector field F(x, y, z) = ⟨y, -2, x + z⟩ through the surface S, where S is the surface parametrized by r(u, v) = ⟨u - v², 3v, 2u + v²⟩ for 0 ≤ u ≤ 1 and 0 ≤ v ≤ 2, oriented upwards.