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3 years ago

6

If the shape in the diagram rotates about the dashed line, which three-dimensional object will be formed?

3 answers:

SVETLANKA909090 [29]3 years ago

5 0

Answer:

Cone

Step-by-step explanation:

Rotation means the circular moment of an object about some axis or center.

In the given figure, the shape is rotated along the dashed line.

The size of the object remains same after rotation.

After rotating about the dashed line, we observe that the object formed is three- dimensional and is in the shape of a cone.

Elodia [21]3 years ago

3 0

It is a three-dimensional figure that remembers a cone, but the sides are not a right line but curved (concave) and the bottom is not plane but a convexed surface. This shape will wooble but not fall. I hope this explanation helps you because you didn't place the answer choices.

arnold3 years ago

0 0

a

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I need to find the derivative. I’m not very good at this so I am answer asap would be sosososo helpful

Bingel [31]

Answer:

See below.

Step-by-step explanation:

First, notice that this is a composition of functions. For instance, let's let $f(x)=\sqrt{x}$ and $g(x)=7x^2+4x+1$ . Then, the given equation is essentially $f(g(x))=\sqrt{7x^2+4x+1}$ . Thus, we can use the chain rule.

Recall the chain rule: $\frac{d}{dx}[f(g(x))]=f'(g(x))\cdot g'(x)$ . So, let's find the derivative of each function:

$f(x)=\sqrt{x}=x^\frac{1}{2}$

We can use the Power Rule here:

$f'(x)=(x^\frac{1}{2})'=\frac{1}{2}(x^{-\frac{1}{2} })=\frac{1}{2\sqrt{x}}$

Now:

$g(x)=7x^2+4x+1$

Again, use the Power Rule and Sum Rule

$g'(x)=(7x^2+4x+1)'=(7x^2)'+(4x)'+(1)'=14x+4$

Now, we can put them together:

$y'=f'(g(x))\cdot g'(x)=\frac{1}{2\sqrt{g(x)}} \cdot (14x+4)$

$y'=\frac{14x+4}{2\sqrt{7x^2+4x+1} } =\frac{7x+2}{\sqrt{7x^2+4x+1} }$

5 0

3 years ago

Between 10 pm and 7:45 am the water level in a swimming pool decreased by 13/16 inch. Assuming the constant rate how much did it

dsp73

The answer to your question is, The pool dropped 1.38/16 inches per hour.

6 0

3 years ago

Amplitude of y=-3sin5x

GaryK [48]

Answer:

Amplitude is 3

Step-by-step explanation:

in y=-3sin5x

the number in front of sign is always the amplitude. Its not negative 3 because the negative simply means it reflects across the x-axis

4 0

3 years ago

Read 2 more answers

A penny is tossed and a number cube is rolled. Find probability P(tails and 3). Please select one answer.

noname [10]

Answer:

the probability is 1/12

Step-by-step explanation:

The probability, P(Tails) to get tails is equal to:

$P(Tails)=\frac{1}{2}$

Because a penny have two possible options heads or tails and tails is one option.

Additionally, the probability P(3) that the number cube get a 3 is equal to:

$P(3)=\frac{1}{6}$

Because the cube have 6 possible options and 3 is one option.

Now, the probability P(tails and 3) is calculated as a multiplication of P(tails) and P(3). then, P(tails and 3) is equal to:

P(tails and 3) $=\frac{1}{2}*\frac{1}{6}=\frac{1}{12}$

8 0

3 years ago

Read 2 more answers

What is the factorization of 1000x^6 - 27?

OverLord2011 [107]

Answer:

B

Step-by-step explanation:

Cube root 1000x^6 = 10x^2

Cube root of - 27 = 3

So the first part of the factorization process is 10x^2 - 3. There is no help here because all of the answers give this binomial as the first factor.

The second factor is (10x^2)^2 + (3)*10x^2 + 3^2)

Expanding you get 100x^4 + 30x^2 + 9

Be very careful when looking at 100x^4 because that is where the answer is found.

It has to be B

5 0

3 years ago