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BartSMP [9]
3 years ago
10

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
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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
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