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77julia77 [94]
2 years ago
12

On a six-sided number cube, what is the probability that you will roll a number less than 4?

Mathematics
1 answer:
patriot [66]2 years ago
6 0

Answer: 1/3

Step-by-step explanation:

Since greater than 4 is 2/3

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If 2y=x³ + 2x², find dy/dx when x=2.
scZoUnD [109]

Answer:

10

Step-by-step explanation:

\boxed{\textsf{If }y=x^n,\: \textsf{then }\dfrac{\text{d}y}{\text{d}x}=nx^{n-1}}

<u>Given equation</u>:

2y=x^3+2x^2

Isolate y by dividing both sides by 2:

\implies y=\dfrac{1}{2}x^3+x^2

Differentiate with respect to x:

\implies \dfrac{\text{d}y}{\text{d}x}=3 \cdot \dfrac{1}{2}x^{3-1}+2 \cdot x^{2-1}

\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{3}{2}x^2+2x

Finally, substitute x = 2 into the differentiated equation:

\begin{aligned} \implies \dfrac{\text{d}y}{\text{d}x} & =\dfrac{3}{2}(2)^2+2(2)\\\\ & = \dfrac{3}{2}(4)+4\\\\ & = \dfrac{12}{2}+4\\\\ & = 6+4\\\\ & = 10\end{aligned}

Learn more about differentiation here:

brainly.com/question/27958412

brainly.com/question/26488862

5 0
2 years ago
The graph shows a rider's height y, in feet, above or below the center of a Ferris wheel, for a
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Step-by-step explanation:

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Without plotting these numbers, decide which inequalities are true. Check all that apply.
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The answer is b just because inequality

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3k^2=11+6k : complete the square
WARRIOR [948]

Answer:

3(k - 1)² = 12

Step-by-step explanation:

To complete the square, write the equation standard form and make the a term's coefficient 1.

3k² = 11 + 6k

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3(k² - 2k) = 11

Take the middle term -2k and divide the coefficient in 2 and square it. Here it is -2/2 = -1. -1² = 1. Add 1 to both sides.

3(k² - 2k + 1) = 11 + 1

3(k - 1)² = 12

4 0
2 years ago
4. In the accompanying diagram, which point is the image of Point A after a reflection over the y-axis? * 10 points Captionless
NikAS [45]

Answer:

Hello, it appears you did not attach an image that would help me answer the question. I would need to see an image of the problem you're working on in order to help you. If you could perhaps insert a photograph of the question or even give me the coordinate of point A, I would be more than happy to help you!

Step-by-step explanation:

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