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2 years ago

What is 73.129 written in expanded form

Mathematics

1 answer:

swat322 years ago

3 0

Answer: 73+.100+.29

Step-by-step explanation:

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Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. Ifpo

steposvetlana [31]

The two curves $y=x$ and $y=x^{1/15}$ intersect at $x=0$ and $x=1$ , with $x^{1/15}\ge x$ over $0\le x\le1$ .

Washer method

$\displaystyle\pi\int_0^1\left(\left(x^{1/15}\right)^2-x^2\right)\,\mathrm dx=\pi\int_0^1\left(x^{2/15}-x^2\right)\,\mathrm dx=\pi\left(\frac{15}{17}-\frac13\right)=\boxed{\frac{28\pi}{51}}$

Shell method

We have $y=x^{1/15}\implies x=y^{15}$ . The curves $x=y$ and $x=y^{15}$ intersect at $y=0$ and $y=1$ , with $y\ge y^{15}$ over $0\le y\le1$ .

$\displaystyle2\pi\int_0^1y\left(y-y^{15}\right)\,\mathrm dy=2\pi\int_0^1\left(y^2-y^{16}\right)\,\mathrm dy=2\pi\left(\frac13-\frac1{17}\right)=\boxed{\frac{28\pi}{51}}$

6 0

3 years ago

Suppose that E and F are two events and that N(E and F)=300 and N(E)=730. What is P(F|E)?

marin [14]

Answer:

$\displaystyle\frac{30}{73}$

Step-by-step explanation:

The formula of conditional probability is:

$\displaystyle P(F|E)=\frac{P(E \cap F)}{P(E)}$

And if we called N(U) the total number of possible outcomes, then remember by definition of probability:

$\displaystyle P(E \cap F)=\frac{N(E \cap F)}{N(U)}\\\displaystyle P(E)=\frac{N(E)}{N(U)}$

Then plugging them into the formula of conditional probability we get:

$\displaystyle P(F|E)=\frac{\frac{N(E \cap F)}{N(U)}}{\frac{N(E)}{N(U)}}$

Then we simplify and we get:

$\displaystyle P(F|E)=\frac{N(E \cap F)}{N(E)}$

We just plug the given info and we get:

$\displaystyle P(F|E)=\frac{300}{730}=\frac{30}{70}$

3 0

3 years ago

Which of the following is equivalent to the equation below?

DerKrebs [107]

B is the correct answer R=Q-7s/4

6 0

3 years ago

Jaime wrote 4.4_0.33=1.1 is his answer reasonable?why're why not?

shusha [124]

No you have to make sure to line up the decimals when subtracting them. Do not just line of the numbers, this wills get you the wrong answers. Hope this helps. If you need anything else just call for a helping hand.

7 0

3 years ago

Please please help!!!

Rashid [163]

Answer:

1/2

Step-by-step explanation:

cos(θ) = √(1 -sin(θ)²) = √(1 -3/4) = √(1/4)

cos(θ) = 1/2

3 0

3 years ago