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docker41 [41]
3 years ago
6

What is the simplified answer to (a2b4c)3 ?

Mathematics
1 answer:
inn [45]3 years ago
6 0
I think the should be <span><span><span>a2</span><span>b4</span></span>c</span><span>(3)</span><span>=<span><span><span>3<span>a2</span></span><span>b4</span></span><span>c
i hoped it's helped 
thx ba bye </span></span></span>
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SQUARE ROOTS<br> 2x2 +50 =-166
Nataly_w [17]

Answer:

Its a wrong i teaching 2*2=4 Cause 4+50=54 -Its a correct

8 0
3 years ago
Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 4y sqrt (x) , (4, 5) max
liubo4ka [24]

Answer:

Remember that the maximum rate of change of f at a point u is the length of the of the gradient vector evaluate in u, and the direction in which it occurs is in direction of the gradient vector evaluate in u.

The gradient vector of f is

\triangledown f(x,y)=(\frac{\partial f}{\partial x},\frac{\partial f}{\partial y})=(2yx^{-\frac{1}{2}}, 4\sqrt x)

Then, the maximum rate of change is|\triangledown f(4,5)|=|(2*5*4^{-\frac{1}{2}}, 4\sqrt 4)|=|(5,8)|=\sqrt{5^2+8^2}=\sqrt89 in the direction of (5,8).

4 0
3 years ago
What is the ratio in which the point P(3/4,5/12) decides the line segment joining points A(1/2,3/2) and B(2,-5)
timama [110]

Given:

The point P\left(\dfrac{3}{4},\dfrac{5}{12}\right) divides the line segment joining points A\left(\dfrac{1}{2},\dfrac{3}{2}\right) and B(2,-5).

To find:

The ratio in which he point P divides the segment AB.

Solution:

Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Let point P divides the segment AB in m:n. Then by using the section formula, we get

\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{m(2)+n(\dfrac{1}{2})}{m+n},\dfrac{m(-5)+n(\dfrac{3}{2})}{m+n}\right)

\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{2m+\dfrac{n}{2}}{m+n},\dfrac{-5m+\dfrac{3n}{2}}{m+n}\right)

On comparing both sides, we get

\dfrac{3}{4}=\dfrac{2m+\dfrac{n}{2}}{m+n}

\dfrac{3}{4}(m+n)=\dfrac{4m+n}{2}

Multiply both sides by 4.

3(m+n)=2(4m+n)

3m+3n=8m+2n

3n-2n=8m-3m

n=5m

It can be written as

\dfrac{1}{5}=\dfrac{m}{n}

1:5=m:n

Therefore, the point P divides the line segment AB in 1:5.

6 0
3 years ago
Please could someone please explain how i do this, much appreciated!
Vilka [71]
You want to multiply together the number of possible choices for each digit in the code.

0-9 is ten possible numbers, since repetitions are allowed (example code 2,2,2,2) there are ten possible choices per digit in the code.

10*10*10*10 = 10,000 four digit coded possible
6 0
3 years ago
In □PQRS side PQ∥ side RS. If m∠P = 108degree
natka813 [3]

<h2>Given :-</h2>

In □PQRS side PQ∥ side RS. If m∠P = 108degree

and m∠R = 53degree

<h2>To Find :-</h2>

m∠Q and m∠S.

<h2>Solution :-</h2>

According to angle sum property

P∠Q=180−∠P

∠Q=180−108

\boxed{\sf{\angle Q = 72°}}

For angle S

∠S=180−∠R

∠S=180−53

\boxed{\sf {\angle S = 127°}}

\maltese\bold {lucky75} \maltese

4 0
2 years ago
Read 2 more answers
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