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3 years ago

Which of these numbers are perfect squares or perfect cubes? Select the THREE answers that apply. 8 16 32/ 64 128 6 Omestian 12

Mathematics

1 answer:

Murljashka [212]3 years ago

8 0

Answer:

8, 16, 64

Step-by-step explanation:

8 = 2^3 . . . a perfect cube

16 = 4^2 . . . a perfect square

32 = 2^5 . . . neither a cube nor a square

64 = 2^6 = 4^3 = 8^2 . . . both a perfect cube and a perfect square

128 = 2^7 . . . neither a cube nor a square

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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

Consider a game in which a participant pays $2 to roll a die. The participant receives $3 if they roll a 1 (i.E. They go up by a

Sauron [17]

Answer:

The expected monetary value of a single roll is $1.17.

Step-by-step explanation:

The sample space of rolling a die is:

S = {1, 2, 3, 4, 5 and 6}

The probability of rolling any of the six numbers is same, i.e.

P (1) = P (2) = P (3) = P (4) = P (5) = P (6) = $\frac{1}{6}$

The expected pay for rolling the numbers are as follows:

E (X = 1) = $3

E (X = 2) = $0

E (X = 3) = $0

E (X = 4) = $0

E (X = 5) = $0

E (X = 6) = $4

The expected value of an experiment is:

$E(X)=\sum x\cdot P(X=x)$

Compute the expected monetary value of a single roll as follows:

$E(X)=\sum x\cdot P(X=x)\\=[E(X=1)\times \frac{1}{6}]+[E(X=2)\times \frac{1}{6}]+[E(X=3)\times \frac{1}{6}]\\+[E(X=4)\times \frac{1}{6}]+[E(X=5)\times \frac{1}{6}]+[E(X=6)\times \frac{1}{6}]\\=[3\times \frac{1}{6}]+[0\times \frac{1}{6}]+[0\times \frac{1}{6}]\\+[0\times \frac{1}{6}]+[0\times \frac{1}{6}]+[4\times \frac{1}{6}]\\=1.17$

Thus, the expected monetary value of a single roll is $1.17.

7 0

3 years ago

A person has a mass of 70 kg. Express this mass in g.

yulyashka [42]

70000 grams in total

7 0

3 years ago

This polygon is a Quadrilateral (4 sided

Leto [7]

Answer:

Step-by-step explanation:

3x° + 60° = 360°

3x = 360 - 60

3x = 300

x° = 100°

7 0

3 years ago

Which algebraic expression is equivalent to the expression below? 8(5x + 1) + 3(9 - x) A. 37x - 35 B. 37x + 19 C. 37x + 35 D. 43

brilliants [131]

Answer:

C. 37x + 35

Step-by-step explanation:

$8(5x + 1) + 3(9 - x) \\ \\40x + 8 + 27 - 3x \\ 40x - 3x + 27 + 8 \\ 37x + 35$

5 0

2 years ago

Which of these numbers are perfect squares or perfect cubes? Select the THREE answers that apply. 8 16 32/ 64 128 6 Omestian 12​

Which of these numbers are perfect squares or perfect cubes? Select the THREE answers that apply. 8 16 32/ 64 128 6 Omestian 12