3 years ago

What is the slope of the line?

Mathematics

1 answer:

babunello [35]3 years ago

7 0

Where is the
Graph ????????

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When the sum of a number and 3 is subtracted from 10 the result is 5. What is the integer

Rashid [163]

In algebraic terms this is:

$10-(x+3)=5\\10-x-3=5\\10-x=5+3\\10-x=8\\-x=8-10\\-x=-2\\x=2$

The integer is 2.

4 0

2 years ago

if 2 out of the 5 registered voters will cast a ballot in an election and there are 450,000 registered voters,how many people wi

weqwewe [10]

Answer:

180,000 people

Step-by-step explanation:

2/5= 0.4

0.4x450,000=180,000

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3 years ago

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The quantity of an element is decaying over time such that the amount of material

masya89 [10]

T too so yeah four of people

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2 years ago

In which atmosphere layer do humans live most of their lives?

icang [17]

Answer:

Troposphere

Step-by-step explanation:

We humans live in the troposphere, and nearly all weather occurs in this lowest layer. Most clouds appear here, mainly because 99% of the water vapor in the atmosphere is found in the troposphere.

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2 years ago

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

3 years ago