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2 years ago

If (c) were f(k) = -3/k+2, what value of k would be excluded from the domain?

Mathematics

1 answer:

9966 [12]2 years ago

6 0

k = - 2 is excluded from the domain

the denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that k cannot be

solve k + 2 = 0 ⇒ k = - 2 ← excluded value

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Karel the Dog is instructed to move forward three spaces. Then, if Karel is standing on a ball, Karel will turn right and move f

Klio2033 [76]

Complete Question

The diagram for the question is shown on the first uploaded image

Answer:

The final position of Karel is shown on the second uploaded image

Step-by-step explanation:

On the diagram the dot represents steps to be taken by Karel

Now after Karel the Dog has moved forward three spaces, Karel will be standing on a ball, so Karel will turn right move forward two spaces

So the final position of Karel is shown on the second uploaded image

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2 years ago

Three water storage containers have the same volume in the shape of a cylinder, a cone, and a sphere. The base radius of the cyl

fredd [130]

Answer:

- The ratio of the height of the cone to the height of the cylinder is 3:1

- The ratio of the height of the cone to radius of the sphere is 4:1

Step-by-step explanation:

Note that the radii of all the structures are the same.

Let the height of the cone be H and the height of the cylinder be h

The volume of each of the shapes are given below as

Volume of cylinder = πr²h

Volume of a cone = (1/3)πr²H

Volume of a sphere = (4/3)πr³

1) The ratio of the height of the cone to the height of the cylinder

To obtain this, we equate the volume of those two structures

Volume of the cone = Volume of the cylinder

(1/3)πr²H = πr²h

πr² cancels out on both sides and we're left with

(H/3) = h

H = 3h

(H/h) = (3/1)

So, The ratio of the height of the cone to the height of the cylinder is 3:1

2) The ratio of the height of the cone to radius of the sphere

Similarly equating the volumes of the cone and the sphere

(1/3)πr²H = (4/3)πr³

(1/3)πr² cancels out on both sides and we're left with

H = 4r

(H/r) = (4/1)

The ratio of the height of the cone to radius of the sphere is 4:1

Hope this Helps!!!

8 0

3 years ago

The six frames show a shapes different positions. Select the description that describes how the shape moves to get from its posi

Dima020 [189]

Answer:

The correct option is;

Up, rotate 90 degrees counterclockwise, down and right, rotate 90 derees clockwise, left

Step-by-step explanation:

The motion of the shape are

1) The shape is moved up from the initial position

2) The shape is then rotated 90 degrees in the reverse direction of the motion of the clock

3) The shape then moves two motion of coming down and moving right in one step

4) The shape is then rotated 90 degrees in the clockwise direction

5) In the final step, the shape is moved left.

6 0

3 years ago

Evaluate each expression <br><br> 10 (e+7)<br> E=3

Nostrana [21]

Plug in e for 3.

10(3+7)

Use the distributive property. a(b+c)= ab+ac

10*3= 30, 10*7=70

30+70=100

The expression equals 100.

I hope this helps!
~kaikers

5 0

3 years ago

Read 2 more answers

If sin tetha=root3/2, what is cos tetha?

Minchanka [31]

Answer:

The value of cos Ф is ± $\frac{1}{2}$