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2 years ago

Simplify the expression 10-4x(6+5-1) divided by 8+7

1 answer:

8 0

Simple,

writing out the problem...

$\frac{10-4x(6+5-1)}{15}$

Simplify it...

-4x(6+5-1)

-4x(11-1)

-4x(10)

-40x

Making it look like...

$\frac{10-40x}{15}$

Cancel out the common factors...

Thus making the answer:

$- \frac{2(4x-1)}{3}$ .

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A gallon of paint covers 400 square feet. How many square feet will 2 3/8 gallons of paint cover. How do you solve this problem.

PSYCHO15rus [73]

Answer:

Hey there!

1 gallon=400 square feet

2 3/8 gallon= 400 (2 3/8) square feet

2 3/8 gallon= 950 square feet.

Let me know if this helps :)

5 0

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

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

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3 years ago

What is another way to write 32 past 8 o’clock

oee [108]

8:32? Maybe? I'm just giving a guess. You should maybe add more information.

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2 years ago

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2 years ago

M is directly proportional to r2.when r=2,m=14.Work out the value of r when m =224

DENIUS [597]

Answer:

$r=8$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y=kx$

In this problem

Let

$y=m$

$x=r^{2}$

substitute

$m=kr^{2}$

<u>Find the value of k</u>

For $r=2, m=14$

$14=k(2^{2})$

$14=4k$

$k=14/4$ ----> constant of proportionality

the equation is equal to

$m=(14/4)r^{2}$

Find the value of r when m=224

substitute in the equation and solve for r

$224=(14/4)r^{2}$

$r^{2}=224*4/14$

$r^{2}=64$

$r=8$

6 0

2 years ago