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3 years ago

Find the area of the circle.

Mathematics

1 answer:

bixtya [17]3 years ago

5 0

Answer: 254.34

Step-by-step explanation: 3.14(9*9)=254.34

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Write the following numbers in scientific notation 2040000

Molodets [167]

2.04*10^6
When in scientific notation, there can only be one whole integer. For example, we could not have done 20.4*10^5.
Since there were 6 zeroes after the decimal point, the exponent of 10 is 6.

Hope this helps!

3 0

4 years ago

Read 2 more answers

Find the derivative of the function at P 0 in the direction of A. f(x,y,z) = 3 e^x cos(yz), P0 (0, 0, 0), A = - i + 2 j + 3k

Alik [6]

The derivative of $f(x,y,z)$ at a point $p_0=(x_0,y_0,z_0)$ in the direction of a vector $\vec a=a_x\,\vec\imath+a_y\,\vec\jmath+a_z\,\vec k$ is

$\nabla f(x_0,y_0,z_0)\cdot\dfrac{\vec a}{\|\vec a\|}$

We have

$f(x,y,z)=3e^x\cos(yz)\implies\nabla f(x,y,z)=3e^x\cos(yz)\,\vec\imath-3ze^x\sin(yz)\,\vec\jmath-3ye^x\sin(yz)\,\vec k$

and

$\vec a=-\vec\imath+2\,\vec\jmath+3\,\vec k\implies\|\vec a\|=\sqrt{(-1)^2+2^2+3^2}=\sqrt{14}$

Then the derivative at $p_0$ in the direction of $\vec a$ is

$3\,\vec\imath\cdot\dfrac{-\vec\imath+2\,\vec\jmath+3\,\vec k}{\sqrt{14}}=-\dfrac3{\sqrt{14}}$

3 0

4 years ago

A group of people were asked if they had run a red light in the last year. 290 responded "yes", and 177 responded "no". Find the

GuDViN [60]

Answer:

0.621

Step-by-step explanation:

Number of people that have run a red light in the last year = 290

Number of people that have not run a red light in the last year = 177

Total number of respondents = 290 + 177

= 467

Pr(if a person is chosen at random, they have run a red light in the last year) = $\frac{number of people who has run the red light last year}{total number of respondents}$

= $\frac{290}{467}$

= 0.621

The probability that if a person is chosen at random, they have run a red light in the last year is 0.621.

6 0

3 years ago

Point S is on line segment RT. Given Rt = 3x, RS = 3x - 5, and ST = 3x - 1, determine the numerical length of RT.

IRINA_888 [86]

Answer:

Hellk there

Step-by-step explanation:

Hello good day hru

7 0

3 years ago

Read 2 more answers

Factor the expression

DiKsa [7]

Answer:

Step-by-step explanation:

Your difference of perfect cubes formula is given as

$(a-b)(a^2+ab+b^2)$ and you have already correctly identified a as $5q^2$ and b as $r^2s$ . So we fill in the formula as follows:

$(5q^2-r^2s)((5q^2)^2+(5q^2)(r^2s)+(r^2s)^2)$ and we simplify. Remember that

$(5q^2)^2=(5)^2*(q^2)^2=25q^4$ . It's important that you remember the rules.

Simplifying then gives us

$(5q^2-r^2s)(25q^4+5q^2r^2s+r^4s^2)$

That's it, so fill it in however you need to on your end. Learn the patterns for the sum and difference of cubes and it will save you a ton of headaches...promise!!

5 0

3 years ago