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3 years ago

5

What is the simplest form of the number 64^2/3

1 answer:

finlep [7]3 years ago

8 0

16, Rewrite 64 as 4 to the 3 power, apply the power rule and multiply the exponents, cancel the common factor and rewrite the equation and get 4 to the 2 power, which is equal to 16!

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H(x)=3/4 x help please

lutik1710 [3]

Answer
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8 0

3 years ago

Peyton says the sum of two numbers can never be zero. Explain why Peyton's reasoning is incorrect. Use an example.

Elena-2011 [213]

Answer:

Well, there can be negative numbers added to their positive opposite.

Step-by-step explanation:

For example, -3 + 3 = 0

or you could 0 + 0 = 0

4 0

2 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

Forty per cent of all those who applied for the job had experience. If 80 people had

Zielflug [23.3K]

Answer:

total people = X = 200

Step-by-step explanation:

total people = X = 200

People having experience = 80

Percent haing experience = 40 % = 40 / 100

40/ 100 x X = 80

x= 80 x 100 / 40 = 200

I hope im right!!

8 0

3 years ago

Plz answer ASAP with work ty!

horsena [70]

Answer: $8\sqrt{6}$

Step-by-step explanation:

$\frac{2^4\sqrt{3}}{\sqrt{2}}$

$2^{\frac{7}{2}}\sqrt{3}$

$2^{\frac{7}{2}}=2^{3+\frac{1}{2}}$

$2^3\cdot \:2^{\frac{1}{2}}$ =

$2^3\sqrt{2}$

= $2^3\sqrt{2}\sqrt{3}$ =

$2^3\sqrt{2\cdot \:3}$

= $2^3\sqrt{6}$

$2^3=8$

Answer- $8\sqrt{6}$

7 0

3 years ago